diff --git a/.gitmodules b/.gitmodules index 8338c4fa2d..482fd774ce 100644 --- a/.gitmodules +++ b/.gitmodules @@ -51,9 +51,6 @@ [submodule "Tools/jsbsim_bridge"] path = Tools/jsbsim_bridge url = https://github.com/PX4/px4-jsbsim-bridge.git -[submodule "src/examples/gyro_fft/CMSIS_5"] - path = src/examples/gyro_fft/CMSIS_5 - url = https://github.com/ARM-software/CMSIS_5.git [submodule "src/drivers/uavcan_v1/libcanard"] path = src/drivers/uavcan_v1/libcanard url = https://github.com/UAVCAN/libcanard.git diff --git a/Tools/astyle/files_to_check_code_style.sh b/Tools/astyle/files_to_check_code_style.sh index 408fca1556..ba3557aea0 100755 --- a/Tools/astyle/files_to_check_code_style.sh +++ b/Tools/astyle/files_to_check_code_style.sh @@ -18,7 +18,7 @@ exec find boards msg src platforms test \ -path src/lib/ecl -prune -o \ -path src/lib/matrix -prune -o \ -path src/lib/parameters/uthash -prune -o \ - -path src/examples/gyro_fft/CMSIS_5 -prune -o \ + -path src/modules/gyro_fft/CMSIS_5 -prune -o \ -path src/modules/micrortps_bridge/micro-CDR -prune -o \ -path src/modules/micrortps_bridge/microRTPS_client -prune -o \ -path test/mavsdk_tests/catch2 -prune -o \ diff --git a/boards/airmind/mindpx-v2/default.cmake b/boards/airmind/mindpx-v2/default.cmake index fc5a013620..b976951b2f 100644 --- a/boards/airmind/mindpx-v2/default.cmake +++ b/boards/airmind/mindpx-v2/default.cmake @@ -61,6 +61,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/atlflight/eagle/default.cmake b/boards/atlflight/eagle/default.cmake index 6b8d4ff453..96826faa31 100644 --- a/boards/atlflight/eagle/default.cmake +++ b/boards/atlflight/eagle/default.cmake @@ -67,6 +67,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator #load_mon diff --git a/boards/atlflight/eagle/qurt.cmake b/boards/atlflight/eagle/qurt.cmake index 8f092994a6..ad59706374 100644 --- a/boards/atlflight/eagle/qurt.cmake +++ b/boards/atlflight/eagle/qurt.cmake @@ -58,6 +58,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator local_position_estimator diff --git a/boards/atlflight/excelsior/default.cmake b/boards/atlflight/excelsior/default.cmake index 25dbf2f533..878c4750c7 100644 --- a/boards/atlflight/excelsior/default.cmake +++ b/boards/atlflight/excelsior/default.cmake @@ -66,6 +66,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator #load_mon diff --git a/boards/atlflight/excelsior/qurt.cmake b/boards/atlflight/excelsior/qurt.cmake index f3b8b42816..eec151448e 100644 --- a/boards/atlflight/excelsior/qurt.cmake +++ b/boards/atlflight/excelsior/qurt.cmake @@ -58,6 +58,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator local_position_estimator diff --git a/boards/av/x-v1/default.cmake b/boards/av/x-v1/default.cmake index c1fd053c99..4c3f93dbf8 100644 --- a/boards/av/x-v1/default.cmake +++ b/boards/av/x-v1/default.cmake @@ -61,6 +61,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/beaglebone/blue/default.cmake b/boards/beaglebone/blue/default.cmake index 816d020380..f2a9128e3a 100644 --- a/boards/beaglebone/blue/default.cmake +++ b/boards/beaglebone/blue/default.cmake @@ -43,6 +43,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/bitcraze/crazyflie/default.cmake b/boards/bitcraze/crazyflie/default.cmake index 23caa2cd31..aafac466d3 100644 --- a/boards/bitcraze/crazyflie/default.cmake +++ b/boards/bitcraze/crazyflie/default.cmake @@ -26,6 +26,7 @@ px4_add_board( ekf2 events flight_mode_manager + gyro_fft land_detector #landing_target_estimator load_mon diff --git a/boards/bitcraze/crazyflie21/default.cmake b/boards/bitcraze/crazyflie21/default.cmake index 3ce93a5b89..7694dc3f21 100644 --- a/boards/bitcraze/crazyflie21/default.cmake +++ b/boards/bitcraze/crazyflie21/default.cmake @@ -24,6 +24,7 @@ px4_add_board( dataman ekf2 events + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/cuav/nora/default.cmake b/boards/cuav/nora/default.cmake index 5293fa4617..c73950d652 100644 --- a/boards/cuav/nora/default.cmake +++ b/boards/cuav/nora/default.cmake @@ -65,6 +65,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -114,13 +115,14 @@ px4_add_board( work_queue EXAMPLES fake_gps - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + fake_magnetometer + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/cuav/x7pro/default.cmake b/boards/cuav/x7pro/default.cmake index 45ba5ef442..8bd747f92c 100644 --- a/boards/cuav/x7pro/default.cmake +++ b/boards/cuav/x7pro/default.cmake @@ -68,6 +68,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -117,13 +118,14 @@ px4_add_board( work_queue EXAMPLES fake_gps - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + fake_magnetometer + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/cubepilot/cubeorange/console.cmake b/boards/cubepilot/cubeorange/console.cmake index 7800d94aa4..8fa042e377 100644 --- a/boards/cubepilot/cubeorange/console.cmake +++ b/boards/cubepilot/cubeorange/console.cmake @@ -30,9 +30,9 @@ px4_add_board( gps #heater #imu # all available imu drivers - imu/analog_devices/adis16448 - imu/adis16477 - imu/adis16497 + #imu/analog_devices/adis16448 + #imu/adis16477 + #imu/adis16497 imu/invensense/icm20602 imu/invensense/icm20649 imu/invensense/icm20948 @@ -68,6 +68,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + #gyro_fft land_detector landing_target_estimator load_mon @@ -119,13 +120,13 @@ px4_add_board( EXAMPLES fake_gps fake_magnetometer - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/cubepilot/cubeorange/default.cmake b/boards/cubepilot/cubeorange/default.cmake index 693253e7b5..6db55e059f 100644 --- a/boards/cubepilot/cubeorange/default.cmake +++ b/boards/cubepilot/cubeorange/default.cmake @@ -31,8 +31,6 @@ px4_add_board( #heater #imu # all available imu drivers imu/analog_devices/adis16448 - imu/adis16477 - imu/adis16497 imu/invensense/icm20602 imu/invensense/icm20649 imu/invensense/icm20948 @@ -52,7 +50,7 @@ px4_add_board( roboclaw rpm telemetry # all available telemetry drivers - test_ppm + #test_ppm tone_alarm uavcan MODULES @@ -68,6 +66,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -108,7 +107,7 @@ px4_add_board( reboot reflect sd_bench - tests # tests and test runner + #tests # tests and test runner top topic_listener tune_control @@ -119,13 +118,13 @@ px4_add_board( EXAMPLES fake_gps fake_magnetometer - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/cubepilot/cubeyellow/console.cmake b/boards/cubepilot/cubeyellow/console.cmake index 44e55b2ed7..5b66f20b56 100644 --- a/boards/cubepilot/cubeyellow/console.cmake +++ b/boards/cubepilot/cubeyellow/console.cmake @@ -67,6 +67,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -118,13 +119,13 @@ px4_add_board( EXAMPLES fake_gps fake_magnetometer - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/cubepilot/cubeyellow/default.cmake b/boards/cubepilot/cubeyellow/default.cmake index 09dc4e6e15..ba148d09f6 100644 --- a/boards/cubepilot/cubeyellow/default.cmake +++ b/boards/cubepilot/cubeyellow/default.cmake @@ -67,6 +67,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -118,13 +119,13 @@ px4_add_board( EXAMPLES fake_gps fake_magnetometer - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/emlid/navio2/default.cmake b/boards/emlid/navio2/default.cmake index 0e50a68df8..682b64d0ed 100644 --- a/boards/emlid/navio2/default.cmake +++ b/boards/emlid/navio2/default.cmake @@ -44,6 +44,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/holybro/durandal-v1/default.cmake b/boards/holybro/durandal-v1/default.cmake index 7b7eee2858..5fc4b999f9 100644 --- a/boards/holybro/durandal-v1/default.cmake +++ b/boards/holybro/durandal-v1/default.cmake @@ -66,6 +66,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/holybro/kakutef7/default.cmake b/boards/holybro/kakutef7/default.cmake index 0e76f42608..ad2670eda3 100644 --- a/boards/holybro/kakutef7/default.cmake +++ b/boards/holybro/kakutef7/default.cmake @@ -38,6 +38,7 @@ px4_add_board( #ekf2 events flight_mode_manager + #gyro_fft land_detector load_mon #local_position_estimator diff --git a/boards/holybro/pix32v5/default.cmake b/boards/holybro/pix32v5/default.cmake index 83221d218b..9a893b9be0 100644 --- a/boards/holybro/pix32v5/default.cmake +++ b/boards/holybro/pix32v5/default.cmake @@ -70,6 +70,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/modalai/fc-v1/default.cmake b/boards/modalai/fc-v1/default.cmake index 97a5e0a008..f95d07c493 100644 --- a/boards/modalai/fc-v1/default.cmake +++ b/boards/modalai/fc-v1/default.cmake @@ -60,6 +60,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/ctrl-zero-f7-oem/default.cmake b/boards/mro/ctrl-zero-f7-oem/default.cmake index ace636798f..559593c587 100644 --- a/boards/mro/ctrl-zero-f7-oem/default.cmake +++ b/boards/mro/ctrl-zero-f7-oem/default.cmake @@ -64,6 +64,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/ctrl-zero-f7/default.cmake b/boards/mro/ctrl-zero-f7/default.cmake index 7a12ec7985..a118d5ba1c 100644 --- a/boards/mro/ctrl-zero-f7/default.cmake +++ b/boards/mro/ctrl-zero-f7/default.cmake @@ -64,6 +64,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/ctrl-zero-h7-oem/default.cmake b/boards/mro/ctrl-zero-h7-oem/default.cmake index e2d0116cdc..a569dac5c2 100644 --- a/boards/mro/ctrl-zero-h7-oem/default.cmake +++ b/boards/mro/ctrl-zero-h7-oem/default.cmake @@ -66,6 +66,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/ctrl-zero-h7/default.cmake b/boards/mro/ctrl-zero-h7/default.cmake index 789d02f96d..19858431b7 100644 --- a/boards/mro/ctrl-zero-h7/default.cmake +++ b/boards/mro/ctrl-zero-h7/default.cmake @@ -66,6 +66,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/pixracerpro/default.cmake b/boards/mro/pixracerpro/default.cmake index ea6c0163e9..3726a6365d 100644 --- a/boards/mro/pixracerpro/default.cmake +++ b/boards/mro/pixracerpro/default.cmake @@ -65,6 +65,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/x21-777/default.cmake b/boards/mro/x21-777/default.cmake index 0024b6ce8e..fad6a148d9 100644 --- a/boards/mro/x21-777/default.cmake +++ b/boards/mro/x21-777/default.cmake @@ -65,6 +65,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/mro/x21/default.cmake b/boards/mro/x21/default.cmake index 459645a676..2384034f1a 100644 --- a/boards/mro/x21/default.cmake +++ b/boards/mro/x21/default.cmake @@ -62,6 +62,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/nxp/fmuk66-e/default.cmake b/boards/nxp/fmuk66-e/default.cmake index 1bc390021e..84427648c6 100644 --- a/boards/nxp/fmuk66-e/default.cmake +++ b/boards/nxp/fmuk66-e/default.cmake @@ -62,6 +62,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/nxp/fmuk66-e/socketcan.cmake b/boards/nxp/fmuk66-e/socketcan.cmake index 212c4bd1d0..c86fe0973b 100644 --- a/boards/nxp/fmuk66-e/socketcan.cmake +++ b/boards/nxp/fmuk66-e/socketcan.cmake @@ -61,6 +61,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/nxp/fmuk66-v3/default.cmake b/boards/nxp/fmuk66-v3/default.cmake index 4414631214..1b3f21a34d 100644 --- a/boards/nxp/fmuk66-v3/default.cmake +++ b/boards/nxp/fmuk66-v3/default.cmake @@ -62,6 +62,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/nxp/fmuk66-v3/rtps.cmake b/boards/nxp/fmuk66-v3/rtps.cmake index 914f762c4d..d794c6affc 100644 --- a/boards/nxp/fmuk66-v3/rtps.cmake +++ b/boards/nxp/fmuk66-v3/rtps.cmake @@ -61,6 +61,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/nxp/fmuk66-v3/socketcan.cmake b/boards/nxp/fmuk66-v3/socketcan.cmake index 90e57ba8b8..64c85e572b 100644 --- a/boards/nxp/fmuk66-v3/socketcan.cmake +++ b/boards/nxp/fmuk66-v3/socketcan.cmake @@ -61,6 +61,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/nxp/fmurt1062-v1/default.cmake b/boards/nxp/fmurt1062-v1/default.cmake index dc496571f6..bd3ed616bd 100644 --- a/boards/nxp/fmurt1062-v1/default.cmake +++ b/boards/nxp/fmurt1062-v1/default.cmake @@ -56,6 +56,7 @@ px4_add_board( ekf2 events flight_mode_manager + #gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/omnibus/f4sd/default.cmake b/boards/omnibus/f4sd/default.cmake index 9ed260edad..46c7d70f33 100644 --- a/boards/omnibus/f4sd/default.cmake +++ b/boards/omnibus/f4sd/default.cmake @@ -50,6 +50,7 @@ px4_add_board( flight_mode_manager #fw_att_control #fw_pos_control_l1 + #gyro_fft land_detector #landing_target_estimator load_mon diff --git a/boards/px4/fmu-v2/default.cmake b/boards/px4/fmu-v2/default.cmake index caa909a224..f1488131d5 100644 --- a/boards/px4/fmu-v2/default.cmake +++ b/boards/px4/fmu-v2/default.cmake @@ -77,6 +77,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + #gyro_fft land_detector #landing_target_estimator load_mon diff --git a/boards/px4/fmu-v2/fixedwing.cmake b/boards/px4/fmu-v2/fixedwing.cmake index d0656e3880..10033bf0d7 100644 --- a/boards/px4/fmu-v2/fixedwing.cmake +++ b/boards/px4/fmu-v2/fixedwing.cmake @@ -52,6 +52,7 @@ px4_add_board( #events fw_att_control fw_pos_control_l1 + #gyro_fft land_detector load_mon logger diff --git a/boards/px4/fmu-v2/multicopter.cmake b/boards/px4/fmu-v2/multicopter.cmake index ded2a74ae0..c113138e62 100644 --- a/boards/px4/fmu-v2/multicopter.cmake +++ b/boards/px4/fmu-v2/multicopter.cmake @@ -43,6 +43,7 @@ px4_add_board( dataman ekf2 flight_mode_manager + #gyro_fft #events land_detector landing_target_estimator diff --git a/boards/px4/fmu-v3/default.cmake b/boards/px4/fmu-v3/default.cmake index 32d8db29cd..963ab40edf 100644 --- a/boards/px4/fmu-v3/default.cmake +++ b/boards/px4/fmu-v3/default.cmake @@ -74,6 +74,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v4/default.cmake b/boards/px4/fmu-v4/default.cmake index 496bdbec3b..1c4704fd5f 100644 --- a/boards/px4/fmu-v4/default.cmake +++ b/boards/px4/fmu-v4/default.cmake @@ -70,6 +70,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -126,7 +127,6 @@ px4_add_board( fake_gyro fake_magnetometer fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - gyro_fft hello hwtest # Hardware test #matlab_csv_serial diff --git a/boards/px4/fmu-v4/uavcanv1.cmake b/boards/px4/fmu-v4/uavcanv1.cmake index acb0d8bbf2..6aa991ae72 100644 --- a/boards/px4/fmu-v4/uavcanv1.cmake +++ b/boards/px4/fmu-v4/uavcanv1.cmake @@ -71,6 +71,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v4pro/default.cmake b/boards/px4/fmu-v4pro/default.cmake index 6d20f381ba..0fea0c5f52 100644 --- a/boards/px4/fmu-v4pro/default.cmake +++ b/boards/px4/fmu-v4pro/default.cmake @@ -67,6 +67,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/ctrlalloc.cmake b/boards/px4/fmu-v5/ctrlalloc.cmake index 5558ae3a68..e99ed02f11 100644 --- a/boards/px4/fmu-v5/ctrlalloc.cmake +++ b/boards/px4/fmu-v5/ctrlalloc.cmake @@ -73,6 +73,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -129,7 +130,6 @@ px4_add_board( fake_gyro fake_magnetometer fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - gyro_fft hello hwtest # Hardware test #matlab_csv_serial diff --git a/boards/px4/fmu-v5/debug.cmake b/boards/px4/fmu-v5/debug.cmake index a435167e89..acb9ae4f93 100644 --- a/boards/px4/fmu-v5/debug.cmake +++ b/boards/px4/fmu-v5/debug.cmake @@ -71,6 +71,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + #gyro_fft land_detector #landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/default.cmake b/boards/px4/fmu-v5/default.cmake index 4e8a9b8818..56de57d909 100644 --- a/boards/px4/fmu-v5/default.cmake +++ b/boards/px4/fmu-v5/default.cmake @@ -71,6 +71,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -127,7 +128,6 @@ px4_add_board( fake_gyro fake_magnetometer fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - gyro_fft hello hwtest # Hardware test #matlab_csv_serial diff --git a/boards/px4/fmu-v5/fixedwing.cmake b/boards/px4/fmu-v5/fixedwing.cmake index 8e961a93c6..5feaebc58d 100644 --- a/boards/px4/fmu-v5/fixedwing.cmake +++ b/boards/px4/fmu-v5/fixedwing.cmake @@ -53,6 +53,7 @@ px4_add_board( events fw_att_control fw_pos_control_l1 + gyro_fft land_detector load_mon logger diff --git a/boards/px4/fmu-v5/multicopter.cmake b/boards/px4/fmu-v5/multicopter.cmake index adc55e189d..6419ae9979 100644 --- a/boards/px4/fmu-v5/multicopter.cmake +++ b/boards/px4/fmu-v5/multicopter.cmake @@ -57,6 +57,7 @@ px4_add_board( ekf2 events flight_mode_manager + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/optimized.cmake b/boards/px4/fmu-v5/optimized.cmake index b842be28f3..732c4ed702 100644 --- a/boards/px4/fmu-v5/optimized.cmake +++ b/boards/px4/fmu-v5/optimized.cmake @@ -64,6 +64,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + #gyro_fft land_detector #landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/rtps.cmake b/boards/px4/fmu-v5/rtps.cmake index d5925f1a68..b8bf45151b 100644 --- a/boards/px4/fmu-v5/rtps.cmake +++ b/boards/px4/fmu-v5/rtps.cmake @@ -68,6 +68,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/stackcheck.cmake b/boards/px4/fmu-v5/stackcheck.cmake index e9fc1e7bb5..f13b43579c 100644 --- a/boards/px4/fmu-v5/stackcheck.cmake +++ b/boards/px4/fmu-v5/stackcheck.cmake @@ -71,6 +71,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + #gyro_fft land_detector #landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/uavcanv0periph.cmake b/boards/px4/fmu-v5/uavcanv0periph.cmake index 4ccc108427..52918281ce 100644 --- a/boards/px4/fmu-v5/uavcanv0periph.cmake +++ b/boards/px4/fmu-v5/uavcanv0periph.cmake @@ -73,6 +73,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + #gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5/uavcanv1.cmake b/boards/px4/fmu-v5/uavcanv1.cmake index 74e7d598cf..c57f3a425d 100644 --- a/boards/px4/fmu-v5/uavcanv1.cmake +++ b/boards/px4/fmu-v5/uavcanv1.cmake @@ -72,6 +72,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5x/base_phy_DP83848C.cmake b/boards/px4/fmu-v5x/base_phy_DP83848C.cmake index 615bba813a..1564c07aef 100644 --- a/boards/px4/fmu-v5x/base_phy_DP83848C.cmake +++ b/boards/px4/fmu-v5x/base_phy_DP83848C.cmake @@ -67,6 +67,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v5x/default.cmake b/boards/px4/fmu-v5x/default.cmake index ca766cff6b..e4925dbddd 100644 --- a/boards/px4/fmu-v5x/default.cmake +++ b/boards/px4/fmu-v5x/default.cmake @@ -71,6 +71,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/fmu-v6u/default.cmake b/boards/px4/fmu-v6u/default.cmake index a75a6f3937..f1b05c2ebf 100644 --- a/boards/px4/fmu-v6u/default.cmake +++ b/boards/px4/fmu-v6u/default.cmake @@ -28,14 +28,9 @@ px4_add_board( gps heater #imu # all available imu drivers - imu/analog_devices/adis16448 - imu/adis16477 - imu/adis16497 imu/bosch/bmi088 - imu/invensense/icm20649 imu/invensense/icm20602 imu/invensense/icm42605 - imu/invensense/icm42688p irlock lights/blinkm lights/rgbled @@ -46,8 +41,7 @@ px4_add_board( pca9685 power_monitor/ina226 #protocol_splitter -# pwm_input - Need to create arch/stm32 arch/stm32h7 arch/kinetis and reloacate -# all arch dependant code there + #pwm_input - Need to create arch/stm32 arch/stm32h7 pwm_out_sim pwm_out rc_input @@ -71,6 +65,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -110,6 +105,7 @@ px4_add_board( reboot reflect sd_bench + serial_test system_time tests # tests and test runner top @@ -119,16 +115,15 @@ px4_add_board( usb_connected ver work_queue - serial_test EXAMPLES fake_gps fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/px4/fmu-v6x/default.cmake b/boards/px4/fmu-v6x/default.cmake index 555c7b9c52..63b7878fd0 100644 --- a/boards/px4/fmu-v6x/default.cmake +++ b/boards/px4/fmu-v6x/default.cmake @@ -69,6 +69,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon @@ -120,13 +121,14 @@ px4_add_board( serial_test EXAMPLES fake_gps - fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control - hello - hwtest # Hardware test + fake_magnetometer + #fixedwing_control # Tutorial code from https://px4.io/dev/example_fixedwing_control + #hello + #hwtest # Hardware test #matlab_csv_serial - px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html - px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html - rover_steering_control # Rover example app - uuv_example_app - work_item + #px4_mavlink_debug # Tutorial code from http://dev.px4.io/en/debug/debug_values.html + #px4_simple_app # Tutorial code from http://dev.px4.io/en/apps/hello_sky.html + #rover_steering_control # Rover example app + #uuv_example_app + #work_item ) diff --git a/boards/px4/raspberrypi/default.cmake b/boards/px4/raspberrypi/default.cmake index 430fbfbb16..8c5732d1af 100644 --- a/boards/px4/raspberrypi/default.cmake +++ b/boards/px4/raspberrypi/default.cmake @@ -42,6 +42,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/sitl/ctrlalloc.cmake b/boards/px4/sitl/ctrlalloc.cmake index 9922036c8e..8cd3a1ec6c 100644 --- a/boards/px4/sitl/ctrlalloc.cmake +++ b/boards/px4/sitl/ctrlalloc.cmake @@ -37,6 +37,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/sitl/default.cmake b/boards/px4/sitl/default.cmake index 3c9b7f1533..fc2da63c8a 100644 --- a/boards/px4/sitl/default.cmake +++ b/boards/px4/sitl/default.cmake @@ -36,6 +36,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/sitl/nolockstep.cmake b/boards/px4/sitl/nolockstep.cmake index 3c45559194..7706555e33 100644 --- a/boards/px4/sitl/nolockstep.cmake +++ b/boards/px4/sitl/nolockstep.cmake @@ -35,6 +35,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/sitl/rtps.cmake b/boards/px4/sitl/rtps.cmake index 9f043c589f..2c06936941 100644 --- a/boards/px4/sitl/rtps.cmake +++ b/boards/px4/sitl/rtps.cmake @@ -35,6 +35,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/px4/sitl/test.cmake b/boards/px4/sitl/test.cmake index 5205f770df..6712689527 100644 --- a/boards/px4/sitl/test.cmake +++ b/boards/px4/sitl/test.cmake @@ -35,6 +35,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/scumaker/pilotpi/arm64.cmake b/boards/scumaker/pilotpi/arm64.cmake index 3684b2990f..e9bc0fb146 100644 --- a/boards/scumaker/pilotpi/arm64.cmake +++ b/boards/scumaker/pilotpi/arm64.cmake @@ -44,6 +44,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/scumaker/pilotpi/default.cmake b/boards/scumaker/pilotpi/default.cmake index 4dcd5bed6b..e1114a32cd 100644 --- a/boards/scumaker/pilotpi/default.cmake +++ b/boards/scumaker/pilotpi/default.cmake @@ -44,6 +44,7 @@ px4_add_board( flight_mode_manager fw_att_control fw_pos_control_l1 + gyro_fft land_detector landing_target_estimator load_mon diff --git a/boards/uvify/core/default.cmake b/boards/uvify/core/default.cmake index 12d8879e1d..3ff7cbbdd7 100644 --- a/boards/uvify/core/default.cmake +++ b/boards/uvify/core/default.cmake @@ -48,6 +48,7 @@ px4_add_board( ekf2 events flight_mode_manager + gyro_fft land_detector landing_target_estimator load_mon diff --git a/src/examples/gyro_fft/CMSIS_5 b/src/examples/gyro_fft/CMSIS_5 deleted file mode 160000 index 2028526265..0000000000 --- a/src/examples/gyro_fft/CMSIS_5 +++ /dev/null @@ -1 +0,0 @@ -Subproject commit 20285262657d1b482d132d20d755c8c330d55c1f diff --git a/src/modules/gyro_fft/CMSIS_5/.clang-tidy b/src/modules/gyro_fft/CMSIS_5/.clang-tidy new file mode 100644 index 0000000000..64e1b8f404 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/.clang-tidy @@ -0,0 +1,120 @@ +--- +Checks: '*, + -android*, + -bugprone-integer-division, + -cert-dcl50-cpp, + -cert-env33-c, + -cert-err34-c, + -cert-err58-cpp, + -cert-msc30-c, + -cert-msc50-cpp, + -cert-flp30-c, + -clang-analyzer-core.CallAndMessage, + -clang-analyzer-core.NullDereference, + -clang-analyzer-core.UndefinedBinaryOperatorResult, + -clang-analyzer-core.uninitialized.Assign, + -clang-analyzer-core.VLASize, + -clang-analyzer-cplusplus.NewDelete, + -clang-analyzer-cplusplus.NewDeleteLeaks, + -clang-analyzer-deadcode.DeadStores, + -clang-analyzer-optin.cplusplus.VirtualCall, + -clang-analyzer-optin.performance.Padding, + -clang-analyzer-security.FloatLoopCounter, + -clang-analyzer-security.insecureAPI.strcpy, + -clang-analyzer-unix.API, + -clang-analyzer-unix.cstring.BadSizeArg, + -clang-analyzer-unix.Malloc, + -clang-analyzer-unix.MallocSizeof, + -cppcoreguidelines-c-copy-assignment-signature, + -cppcoreguidelines-interfaces-global-init, + -cppcoreguidelines-no-malloc, + -cppcoreguidelines-owning-memory, + -cppcoreguidelines-pro-bounds-array-to-pointer-decay, + -cppcoreguidelines-pro-bounds-constant-array-index, + -cppcoreguidelines-pro-bounds-pointer-arithmetic, + -cppcoreguidelines-pro-type-const-cast, + -cppcoreguidelines-pro-type-cstyle-cast, + -cppcoreguidelines-pro-type-member-init, + -cppcoreguidelines-pro-type-reinterpret-cast, + -cppcoreguidelines-pro-type-union-access, + -cppcoreguidelines-pro-type-vararg, + -cppcoreguidelines-special-member-functions, + -fuchsia-default-arguments, + -fuchsia-overloaded-operator, + -google-build-using-namespace, + -google-explicit-constructor, + -google-global-names-in-headers, + -google-readability-braces-around-statements, + -google-readability-casting, + -google-readability-function-size, + -google-readability-namespace-comments, + -google-readability-todo, + -google-runtime-int, + -google-runtime-references, + -hicpp-braces-around-statements, + -hicpp-deprecated-headers, + -hicpp-explicit-conversions, + -hicpp-function-size, + -hicpp-member-init, + -hicpp-no-array-decay, + -hicpp-no-assembler, + -hicpp-no-malloc, + -hicpp-signed-bitwise, + -hicpp-special-member-functions, + -hicpp-use-auto, + -hicpp-use-equals-default, + -hicpp-use-equals-delete, + -hicpp-use-override, + -hicpp-vararg, + -llvm-header-guard, + -llvm-include-order, + -llvm-namespace-comment, + -misc-incorrect-roundings, + -misc-macro-parentheses, + -misc-misplaced-widening-cast, + -misc-redundant-expression, + -misc-unconventional-assign-operator, + -misc-unused-parameters, + -modernize-deprecated-headers, + -modernize-loop-convert, + -modernize-pass-by-value, + -modernize-return-braced-init-list, + -modernize-use-auto, + -modernize-use-bool-literals, + -modernize-use-default-member-init, + -modernize-use-emplace, + -modernize-use-equals-default, + -modernize-use-equals-delete, + -modernize-use-override, + -modernize-use-using, + -performance-inefficient-string-concatenation, + -performance-unnecessary-value-param, + -readability-avoid-const-params-in-decls, + -readability-braces-around-statements, + -readability-container-size-empty, + -readability-delete-null-pointer, + -readability-else-after-return, + -readability-function-size, + -readability-implicit-bool-cast, + -readability-implicit-bool-conversion, + -readability-inconsistent-declaration-parameter-name, + -readability-named-parameter, + -readability-non-const-parameter, + -readability-redundant-control-flow, + -readability-redundant-declaration, + -readability-redundant-member-init, + -readability-simplify-boolean-expr, + -readability-static-accessed-through-instance, + -readability-static-definition-in-anonymous-namespace, + ' +WarningsAsErrors: '*' +CheckOptions: + - key: google-readability-braces-around-statements.ShortStatementLines + value: '1' + - key: google-readability-function-size.BranchThreshold + value: '600' + - key: google-readability-function-size.LineThreshold + value: '4000' + - key: google-readability-function-size.StatementThreshold + value: '4000' +... diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/Core/Include/cmsis_compiler.h b/src/modules/gyro_fft/CMSIS_5/CMSIS/Core/Include/cmsis_compiler.h new file mode 100644 index 0000000000..adbf296f15 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/Core/Include/cmsis_compiler.h @@ -0,0 +1,283 @@ +/**************************************************************************//** + * @file cmsis_compiler.h + * @brief CMSIS compiler generic header file + * @version V5.1.0 + * @date 09. October 2018 + ******************************************************************************/ +/* + * Copyright (c) 2009-2018 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef __CMSIS_COMPILER_H +#define __CMSIS_COMPILER_H + +#include + +/* + * Arm Compiler 4/5 + */ +#if defined ( __CC_ARM ) + #include "cmsis_armcc.h" + + +/* + * Arm Compiler 6.6 LTM (armclang) + */ +#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050) && (__ARMCC_VERSION < 6100100) + #include "cmsis_armclang_ltm.h" + + /* + * Arm Compiler above 6.10.1 (armclang) + */ +#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) + #include "cmsis_armclang.h" + + +/* + * GNU Compiler + */ +#elif defined ( __GNUC__ ) + #include "cmsis_gcc.h" + + +/* + * IAR Compiler + */ +#elif defined ( __ICCARM__ ) + #include + + +/* + * TI Arm Compiler + */ +#elif defined ( __TI_ARM__ ) + #include + + #ifndef __ASM + #define __ASM __asm + #endif + #ifndef __INLINE + #define __INLINE inline + #endif + #ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline + #endif + #ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __STATIC_INLINE + #endif + #ifndef __NO_RETURN + #define __NO_RETURN __attribute__((noreturn)) + #endif + #ifndef __USED + #define __USED __attribute__((used)) + #endif + #ifndef __WEAK + #define __WEAK __attribute__((weak)) + #endif + #ifndef __PACKED + #define __PACKED __attribute__((packed)) + #endif + #ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __attribute__((packed)) + #endif + #ifndef __PACKED_UNION + #define __PACKED_UNION union __attribute__((packed)) + #endif + #ifndef __UNALIGNED_UINT32 /* deprecated */ + struct __attribute__((packed)) T_UINT32 { uint32_t v; }; + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) + #endif + #ifndef __UNALIGNED_UINT16_WRITE + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void*)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT16_READ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) + #endif + #ifndef __UNALIGNED_UINT32_WRITE + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT32_READ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) + #endif + #ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) + #endif + #ifndef __RESTRICT + #define __RESTRICT __restrict + #endif + #ifndef __COMPILER_BARRIER + #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. + #define __COMPILER_BARRIER() (void)0 + #endif + + +/* + * TASKING Compiler + */ +#elif defined ( __TASKING__ ) + /* + * The CMSIS functions have been implemented as intrinsics in the compiler. + * Please use "carm -?i" to get an up to date list of all intrinsics, + * Including the CMSIS ones. + */ + + #ifndef __ASM + #define __ASM __asm + #endif + #ifndef __INLINE + #define __INLINE inline + #endif + #ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline + #endif + #ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __STATIC_INLINE + #endif + #ifndef __NO_RETURN + #define __NO_RETURN __attribute__((noreturn)) + #endif + #ifndef __USED + #define __USED __attribute__((used)) + #endif + #ifndef __WEAK + #define __WEAK __attribute__((weak)) + #endif + #ifndef __PACKED + #define __PACKED __packed__ + #endif + #ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __packed__ + #endif + #ifndef __PACKED_UNION + #define __PACKED_UNION union __packed__ + #endif + #ifndef __UNALIGNED_UINT32 /* deprecated */ + struct __packed__ T_UINT32 { uint32_t v; }; + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) + #endif + #ifndef __UNALIGNED_UINT16_WRITE + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT16_READ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) + #endif + #ifndef __UNALIGNED_UINT32_WRITE + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT32_READ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) + #endif + #ifndef __ALIGNED + #define __ALIGNED(x) __align(x) + #endif + #ifndef __RESTRICT + #warning No compiler specific solution for __RESTRICT. __RESTRICT is ignored. + #define __RESTRICT + #endif + #ifndef __COMPILER_BARRIER + #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. + #define __COMPILER_BARRIER() (void)0 + #endif + + +/* + * COSMIC Compiler + */ +#elif defined ( __CSMC__ ) + #include + + #ifndef __ASM + #define __ASM _asm + #endif + #ifndef __INLINE + #define __INLINE inline + #endif + #ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline + #endif + #ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __STATIC_INLINE + #endif + #ifndef __NO_RETURN + // NO RETURN is automatically detected hence no warning here + #define __NO_RETURN + #endif + #ifndef __USED + #warning No compiler specific solution for __USED. __USED is ignored. + #define __USED + #endif + #ifndef __WEAK + #define __WEAK __weak + #endif + #ifndef __PACKED + #define __PACKED @packed + #endif + #ifndef __PACKED_STRUCT + #define __PACKED_STRUCT @packed struct + #endif + #ifndef __PACKED_UNION + #define __PACKED_UNION @packed union + #endif + #ifndef __UNALIGNED_UINT32 /* deprecated */ + @packed struct T_UINT32 { uint32_t v; }; + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) + #endif + #ifndef __UNALIGNED_UINT16_WRITE + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT16_READ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) + #endif + #ifndef __UNALIGNED_UINT32_WRITE + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT32_READ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) + #endif + #ifndef __ALIGNED + #warning No compiler specific solution for __ALIGNED. __ALIGNED is ignored. + #define __ALIGNED(x) + #endif + #ifndef __RESTRICT + #warning No compiler specific solution for __RESTRICT. __RESTRICT is ignored. + #define __RESTRICT + #endif + #ifndef __COMPILER_BARRIER + #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. + #define __COMPILER_BARRIER() (void)0 + #endif + + +#else + #error Unknown compiler. +#endif + + +#endif /* __CMSIS_COMPILER_H */ + diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/Core/Include/cmsis_gcc.h b/src/modules/gyro_fft/CMSIS_5/CMSIS/Core/Include/cmsis_gcc.h new file mode 100644 index 0000000000..a2778f58e8 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/Core/Include/cmsis_gcc.h @@ -0,0 +1,2177 @@ +/**************************************************************************//** + * @file cmsis_gcc.h + * @brief CMSIS compiler GCC header file + * @version V5.3.0 + * @date 26. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2009-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef __CMSIS_GCC_H +#define __CMSIS_GCC_H + +/* ignore some GCC warnings */ +#pragma GCC diagnostic push +#pragma GCC diagnostic ignored "-Wsign-conversion" +#pragma GCC diagnostic ignored "-Wconversion" +#pragma GCC diagnostic ignored "-Wunused-parameter" + +/* Fallback for __has_builtin */ +#ifndef __has_builtin + #define __has_builtin(x) (0) +#endif + +/* CMSIS compiler specific defines */ +#ifndef __ASM + #define __ASM __asm +#endif +#ifndef __INLINE + #define __INLINE inline +#endif +#ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline +#endif +#ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __attribute__((always_inline)) static inline +#endif +#ifndef __NO_RETURN + #define __NO_RETURN __attribute__((__noreturn__)) +#endif +#ifndef __USED + #define __USED __attribute__((used)) +#endif +#ifndef __WEAK + #define __WEAK __attribute__((weak)) +#endif +#ifndef __PACKED + #define __PACKED __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_UNION + #define __PACKED_UNION union __attribute__((packed, aligned(1))) +#endif +#ifndef __UNALIGNED_UINT32 /* deprecated */ + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + struct __attribute__((packed)) T_UINT32 { uint32_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) +#endif +#ifndef __UNALIGNED_UINT16_WRITE + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT16_READ + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) +#endif +#ifndef __UNALIGNED_UINT32_WRITE + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT32_READ + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) +#endif +#ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) +#endif +#ifndef __RESTRICT + #define __RESTRICT __restrict +#endif +#ifndef __COMPILER_BARRIER + #define __COMPILER_BARRIER() __ASM volatile("":::"memory") +#endif + +/* ######################### Startup and Lowlevel Init ######################## */ + +#ifndef __PROGRAM_START + +/** + \brief Initializes data and bss sections + \details This default implementations initialized all data and additional bss + sections relying on .copy.table and .zero.table specified properly + in the used linker script. + + */ +__STATIC_FORCEINLINE __NO_RETURN void __cmsis_start(void) +{ + extern void _start(void) __NO_RETURN; + + typedef struct { + uint32_t const* src; + uint32_t* dest; + uint32_t wlen; + } __copy_table_t; + + typedef struct { + uint32_t* dest; + uint32_t wlen; + } __zero_table_t; + + extern const __copy_table_t __copy_table_start__; + extern const __copy_table_t __copy_table_end__; + extern const __zero_table_t __zero_table_start__; + extern const __zero_table_t __zero_table_end__; + + for (__copy_table_t const* pTable = &__copy_table_start__; pTable < &__copy_table_end__; ++pTable) { + for(uint32_t i=0u; iwlen; ++i) { + pTable->dest[i] = pTable->src[i]; + } + } + + for (__zero_table_t const* pTable = &__zero_table_start__; pTable < &__zero_table_end__; ++pTable) { + for(uint32_t i=0u; iwlen; ++i) { + pTable->dest[i] = 0u; + } + } + + _start(); +} + +#define __PROGRAM_START __cmsis_start +#endif + +#ifndef __INITIAL_SP +#define __INITIAL_SP __StackTop +#endif + +#ifndef __STACK_LIMIT +#define __STACK_LIMIT __StackLimit +#endif + +#ifndef __VECTOR_TABLE +#define __VECTOR_TABLE __Vectors +#endif + +#ifndef __VECTOR_TABLE_ATTRIBUTE +#define __VECTOR_TABLE_ATTRIBUTE __attribute__((used, section(".vectors"))) +#endif + +/* ########################### Core Function Access ########################### */ +/** \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions + @{ + */ + +/** + \brief Enable IRQ Interrupts + \details Enables IRQ interrupts by clearing the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __enable_irq(void) +{ + __ASM volatile ("cpsie i" : : : "memory"); +} + + +/** + \brief Disable IRQ Interrupts + \details Disables IRQ interrupts by setting the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __disable_irq(void) +{ + __ASM volatile ("cpsid i" : : : "memory"); +} + + +/** + \brief Get Control Register + \details Returns the content of the Control Register. + \return Control Register value + */ +__STATIC_FORCEINLINE uint32_t __get_CONTROL(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Control Register (non-secure) + \details Returns the content of the non-secure Control Register when in secure mode. + \return non-secure Control Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_CONTROL_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Control Register + \details Writes the given value to the Control Register. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __set_CONTROL(uint32_t control) +{ + __ASM volatile ("MSR control, %0" : : "r" (control) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Control Register (non-secure) + \details Writes the given value to the non-secure Control Register when in secure state. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __TZ_set_CONTROL_NS(uint32_t control) +{ + __ASM volatile ("MSR control_ns, %0" : : "r" (control) : "memory"); +} +#endif + + +/** + \brief Get IPSR Register + \details Returns the content of the IPSR Register. + \return IPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_IPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, ipsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get APSR Register + \details Returns the content of the APSR Register. + \return APSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_APSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, apsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get xPSR Register + \details Returns the content of the xPSR Register. + \return xPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_xPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, xpsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get Process Stack Pointer + \details Returns the current value of the Process Stack Pointer (PSP). + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer (non-secure) + \details Returns the current value of the non-secure Process Stack Pointer (PSP) when in secure state. + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Process Stack Pointer + \details Assigns the given value to the Process Stack Pointer (PSP). + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_PSP(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp, %0" : : "r" (topOfProcStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Process Stack Pointer (PSP) when in secure state. + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSP_NS(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp_ns, %0" : : "r" (topOfProcStack) : ); +} +#endif + + +/** + \brief Get Main Stack Pointer + \details Returns the current value of the Main Stack Pointer (MSP). + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer (non-secure) + \details Returns the current value of the non-secure Main Stack Pointer (MSP) when in secure state. + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Main Stack Pointer + \details Assigns the given value to the Main Stack Pointer (MSP). + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_MSP(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp, %0" : : "r" (topOfMainStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Main Stack Pointer (MSP) when in secure state. + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSP_NS(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp_ns, %0" : : "r" (topOfMainStack) : ); +} +#endif + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Stack Pointer (non-secure) + \details Returns the current value of the non-secure Stack Pointer (SP) when in secure state. + \return SP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_SP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, sp_ns" : "=r" (result) ); + return(result); +} + + +/** + \brief Set Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Stack Pointer (SP) when in secure state. + \param [in] topOfStack Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_SP_NS(uint32_t topOfStack) +{ + __ASM volatile ("MSR sp_ns, %0" : : "r" (topOfStack) : ); +} +#endif + + +/** + \brief Get Priority Mask + \details Returns the current state of the priority mask bit from the Priority Mask Register. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __get_PRIMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Priority Mask (non-secure) + \details Returns the current state of the non-secure priority mask bit from the Priority Mask Register when in secure state. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PRIMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Priority Mask + \details Assigns the given value to the Priority Mask Register. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __set_PRIMASK(uint32_t priMask) +{ + __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Priority Mask (non-secure) + \details Assigns the given value to the non-secure Priority Mask Register when in secure state. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __TZ_set_PRIMASK_NS(uint32_t priMask) +{ + __ASM volatile ("MSR primask_ns, %0" : : "r" (priMask) : "memory"); +} +#endif + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) +/** + \brief Enable FIQ + \details Enables FIQ interrupts by clearing the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __enable_fault_irq(void) +{ + __ASM volatile ("cpsie f" : : : "memory"); +} + + +/** + \brief Disable FIQ + \details Disables FIQ interrupts by setting the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __disable_fault_irq(void) +{ + __ASM volatile ("cpsid f" : : : "memory"); +} + + +/** + \brief Get Base Priority + \details Returns the current value of the Base Priority register. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __get_BASEPRI(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Base Priority (non-secure) + \details Returns the current value of the non-secure Base Priority register when in secure state. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_BASEPRI_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Base Priority + \details Assigns the given value to the Base Priority register. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI(uint32_t basePri) +{ + __ASM volatile ("MSR basepri, %0" : : "r" (basePri) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Base Priority (non-secure) + \details Assigns the given value to the non-secure Base Priority register when in secure state. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __TZ_set_BASEPRI_NS(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_ns, %0" : : "r" (basePri) : "memory"); +} +#endif + + +/** + \brief Set Base Priority with condition + \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled, + or the new value increases the BASEPRI priority level. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI_MAX(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_max, %0" : : "r" (basePri) : "memory"); +} + + +/** + \brief Get Fault Mask + \details Returns the current value of the Fault Mask register. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __get_FAULTMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Fault Mask (non-secure) + \details Returns the current value of the non-secure Fault Mask register when in secure state. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_FAULTMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Fault Mask + \details Assigns the given value to the Fault Mask register. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __set_FAULTMASK(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Fault Mask (non-secure) + \details Assigns the given value to the non-secure Fault Mask register when in secure state. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __TZ_set_FAULTMASK_NS(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask_ns, %0" : : "r" (faultMask) : "memory"); +} +#endif + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) + +/** + \brief Get Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the Process Stack Pointer Limit (PSPLIM). + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSPLIM(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim" : "=r" (result) ); + return result; +#endif +} + +#if (defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSPLIM_NS(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the Process Stack Pointer Limit (PSPLIM). + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_PSPLIM(uint32_t ProcStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim, %0" : : "r" (ProcStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSPLIM_NS(uint32_t ProcStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim_ns, %0\n" : : "r" (ProcStackPtrLimit)); +#endif +} +#endif + + +/** + \brief Get Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the Main Stack Pointer Limit (MSPLIM). + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSPLIM(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim" : "=r" (result) ); + return result; +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the non-secure Main Stack Pointer Limit(MSPLIM) when in secure state. + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSPLIM_NS(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the Main Stack Pointer Limit (MSPLIM). + \param [in] MainStackPtrLimit Main Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_MSPLIM(uint32_t MainStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim, %0" : : "r" (MainStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the non-secure Main Stack Pointer Limit (MSPLIM) when in secure state. + \param [in] MainStackPtrLimit Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSPLIM_NS(uint32_t MainStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim_ns, %0" : : "r" (MainStackPtrLimit)); +#endif +} +#endif + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + + +/** + \brief Get FPSCR + \details Returns the current value of the Floating Point Status/Control register. + \return Floating Point Status/Control register value + */ +__STATIC_FORCEINLINE uint32_t __get_FPSCR(void) +{ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#if __has_builtin(__builtin_arm_get_fpscr) +// Re-enable using built-in when GCC has been fixed +// || (__GNUC__ > 7) || (__GNUC__ == 7 && __GNUC_MINOR__ >= 2) + /* see https://gcc.gnu.org/ml/gcc-patches/2017-04/msg00443.html */ + return __builtin_arm_get_fpscr(); +#else + uint32_t result; + + __ASM volatile ("VMRS %0, fpscr" : "=r" (result) ); + return(result); +#endif +#else + return(0U); +#endif +} + + +/** + \brief Set FPSCR + \details Assigns the given value to the Floating Point Status/Control register. + \param [in] fpscr Floating Point Status/Control value to set + */ +__STATIC_FORCEINLINE void __set_FPSCR(uint32_t fpscr) +{ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#if __has_builtin(__builtin_arm_set_fpscr) +// Re-enable using built-in when GCC has been fixed +// || (__GNUC__ > 7) || (__GNUC__ == 7 && __GNUC_MINOR__ >= 2) + /* see https://gcc.gnu.org/ml/gcc-patches/2017-04/msg00443.html */ + __builtin_arm_set_fpscr(fpscr); +#else + __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) : "vfpcc", "memory"); +#endif +#else + (void)fpscr; +#endif +} + + +/*@} end of CMSIS_Core_RegAccFunctions */ + + +/* ########################## Core Instruction Access ######################### */ +/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface + Access to dedicated instructions + @{ +*/ + +/* Define macros for porting to both thumb1 and thumb2. + * For thumb1, use low register (r0-r7), specified by constraint "l" + * Otherwise, use general registers, specified by constraint "r" */ +#if defined (__thumb__) && !defined (__thumb2__) +#define __CMSIS_GCC_OUT_REG(r) "=l" (r) +#define __CMSIS_GCC_RW_REG(r) "+l" (r) +#define __CMSIS_GCC_USE_REG(r) "l" (r) +#else +#define __CMSIS_GCC_OUT_REG(r) "=r" (r) +#define __CMSIS_GCC_RW_REG(r) "+r" (r) +#define __CMSIS_GCC_USE_REG(r) "r" (r) +#endif + +/** + \brief No Operation + \details No Operation does nothing. This instruction can be used for code alignment purposes. + */ +#define __NOP() __ASM volatile ("nop") + +/** + \brief Wait For Interrupt + \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs. + */ +#define __WFI() __ASM volatile ("wfi":::"memory") + + +/** + \brief Wait For Event + \details Wait For Event is a hint instruction that permits the processor to enter + a low-power state until one of a number of events occurs. + */ +#define __WFE() __ASM volatile ("wfe":::"memory") + + +/** + \brief Send Event + \details Send Event is a hint instruction. It causes an event to be signaled to the CPU. + */ +#define __SEV() __ASM volatile ("sev") + + +/** + \brief Instruction Synchronization Barrier + \details Instruction Synchronization Barrier flushes the pipeline in the processor, + so that all instructions following the ISB are fetched from cache or memory, + after the instruction has been completed. + */ +__STATIC_FORCEINLINE void __ISB(void) +{ + __ASM volatile ("isb 0xF":::"memory"); +} + + +/** + \brief Data Synchronization Barrier + \details Acts as a special kind of Data Memory Barrier. + It completes when all explicit memory accesses before this instruction complete. + */ +__STATIC_FORCEINLINE void __DSB(void) +{ + __ASM volatile ("dsb 0xF":::"memory"); +} + + +/** + \brief Data Memory Barrier + \details Ensures the apparent order of the explicit memory operations before + and after the instruction, without ensuring their completion. + */ +__STATIC_FORCEINLINE void __DMB(void) +{ + __ASM volatile ("dmb 0xF":::"memory"); +} + + +/** + \brief Reverse byte order (32 bit) + \details Reverses the byte order in unsigned integer value. For example, 0x12345678 becomes 0x78563412. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE uint32_t __REV(uint32_t value) +{ +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 5) + return __builtin_bswap32(value); +#else + uint32_t result; + + __ASM ("rev %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return result; +#endif +} + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order within each halfword of a word. For example, 0x12345678 becomes 0x34127856. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE uint32_t __REV16(uint32_t value) +{ + uint32_t result; + + __ASM ("rev16 %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return result; +} + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order in a 16-bit value and returns the signed 16-bit result. For example, 0x0080 becomes 0x8000. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE int16_t __REVSH(int16_t value) +{ +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + return (int16_t)__builtin_bswap16(value); +#else + int16_t result; + + __ASM ("revsh %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return result; +#endif +} + + +/** + \brief Rotate Right in unsigned value (32 bit) + \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. + \param [in] op1 Value to rotate + \param [in] op2 Number of Bits to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2) +{ + op2 %= 32U; + if (op2 == 0U) + { + return op1; + } + return (op1 >> op2) | (op1 << (32U - op2)); +} + + +/** + \brief Breakpoint + \details Causes the processor to enter Debug state. + Debug tools can use this to investigate system state when the instruction at a particular address is reached. + \param [in] value is ignored by the processor. + If required, a debugger can use it to store additional information about the breakpoint. + */ +#define __BKPT(value) __ASM volatile ("bkpt "#value) + + +/** + \brief Reverse bit order of value + \details Reverses the bit order of the given value. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE uint32_t __RBIT(uint32_t value) +{ + uint32_t result; + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) + __ASM ("rbit %0, %1" : "=r" (result) : "r" (value) ); +#else + uint32_t s = (4U /*sizeof(v)*/ * 8U) - 1U; /* extra shift needed at end */ + + result = value; /* r will be reversed bits of v; first get LSB of v */ + for (value >>= 1U; value != 0U; value >>= 1U) + { + result <<= 1U; + result |= value & 1U; + s--; + } + result <<= s; /* shift when v's highest bits are zero */ +#endif + return result; +} + + +/** + \brief Count leading zeros + \details Counts the number of leading zeros of a data value. + \param [in] value Value to count the leading zeros + \return number of leading zeros in value + */ +__STATIC_FORCEINLINE uint8_t __CLZ(uint32_t value) +{ + /* Even though __builtin_clz produces a CLZ instruction on ARM, formally + __builtin_clz(0) is undefined behaviour, so handle this case specially. + This guarantees ARM-compatible results if happening to compile on a non-ARM + target, and ensures the compiler doesn't decide to activate any + optimisations using the logic "value was passed to __builtin_clz, so it + is non-zero". + ARM GCC 7.3 and possibly earlier will optimise this test away, leaving a + single CLZ instruction. + */ + if (value == 0U) + { + return 32U; + } + return __builtin_clz(value); +} + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) +/** + \brief LDR Exclusive (8 bit) + \details Executes a exclusive LDR instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDREXB(volatile uint8_t *addr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrexb %0, %1" : "=r" (result) : "Q" (*addr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrexb %0, [%1]" : "=r" (result) : "r" (addr) : "memory" ); +#endif + return ((uint8_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDR Exclusive (16 bit) + \details Executes a exclusive LDR instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDREXH(volatile uint16_t *addr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrexh %0, %1" : "=r" (result) : "Q" (*addr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrexh %0, [%1]" : "=r" (result) : "r" (addr) : "memory" ); +#endif + return ((uint16_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDR Exclusive (32 bit) + \details Executes a exclusive LDR instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDREXW(volatile uint32_t *addr) +{ + uint32_t result; + + __ASM volatile ("ldrex %0, %1" : "=r" (result) : "Q" (*addr) ); + return(result); +} + + +/** + \brief STR Exclusive (8 bit) + \details Executes a exclusive STR instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STREXB(uint8_t value, volatile uint8_t *addr) +{ + uint32_t result; + + __ASM volatile ("strexb %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) ); + return(result); +} + + +/** + \brief STR Exclusive (16 bit) + \details Executes a exclusive STR instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STREXH(uint16_t value, volatile uint16_t *addr) +{ + uint32_t result; + + __ASM volatile ("strexh %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) ); + return(result); +} + + +/** + \brief STR Exclusive (32 bit) + \details Executes a exclusive STR instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STREXW(uint32_t value, volatile uint32_t *addr) +{ + uint32_t result; + + __ASM volatile ("strex %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" (value) ); + return(result); +} + + +/** + \brief Remove the exclusive lock + \details Removes the exclusive lock which is created by LDREX. + */ +__STATIC_FORCEINLINE void __CLREX(void) +{ + __ASM volatile ("clrex" ::: "memory"); +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] ARG1 Value to be saturated + \param [in] ARG2 Bit position to saturate to (1..32) + \return Saturated value + */ +#define __SSAT(ARG1, ARG2) \ +__extension__ \ +({ \ + int32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("ssat %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] ARG1 Value to be saturated + \param [in] ARG2 Bit position to saturate to (0..31) + \return Saturated value + */ +#define __USAT(ARG1, ARG2) \ + __extension__ \ +({ \ + uint32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("usat %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + + +/** + \brief Rotate Right with Extend (32 bit) + \details Moves each bit of a bitstring right by one bit. + The carry input is shifted in at the left end of the bitstring. + \param [in] value Value to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __RRX(uint32_t value) +{ + uint32_t result; + + __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return(result); +} + + +/** + \brief LDRT Unprivileged (8 bit) + \details Executes a Unprivileged LDRT instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDRBT(volatile uint8_t *ptr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*ptr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrbt %0, [%1]" : "=r" (result) : "r" (ptr) : "memory" ); +#endif + return ((uint8_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (16 bit) + \details Executes a Unprivileged LDRT instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDRHT(volatile uint16_t *ptr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*ptr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrht %0, [%1]" : "=r" (result) : "r" (ptr) : "memory" ); +#endif + return ((uint16_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (32 bit) + \details Executes a Unprivileged LDRT instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDRT(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*ptr) ); + return(result); +} + + +/** + \brief STRT Unprivileged (8 bit) + \details Executes a Unprivileged STRT instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRBT(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("strbt %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (16 bit) + \details Executes a Unprivileged STRT instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRHT(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("strht %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (32 bit) + \details Executes a Unprivileged STRT instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRT(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("strt %1, %0" : "=Q" (*ptr) : "r" (value) ); +} + +#else /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +__STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) +{ + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; +} + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +__STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) +{ + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) +/** + \brief Load-Acquire (8 bit) + \details Executes a LDAB instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDAB(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldab %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint8_t) result); +} + + +/** + \brief Load-Acquire (16 bit) + \details Executes a LDAH instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDAH(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldah %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint16_t) result); +} + + +/** + \brief Load-Acquire (32 bit) + \details Executes a LDA instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDA(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("lda %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return(result); +} + + +/** + \brief Store-Release (8 bit) + \details Executes a STLB instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLB(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("stlb %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (16 bit) + \details Executes a STLH instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLH(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("stlh %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (32 bit) + \details Executes a STL instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STL(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("stl %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Load-Acquire Exclusive (8 bit) + \details Executes a LDAB exclusive instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDAEXB(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldaexb %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint8_t) result); +} + + +/** + \brief Load-Acquire Exclusive (16 bit) + \details Executes a LDAH exclusive instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDAEXH(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldaexh %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint16_t) result); +} + + +/** + \brief Load-Acquire Exclusive (32 bit) + \details Executes a LDA exclusive instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDAEX(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldaex %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return(result); +} + + +/** + \brief Store-Release Exclusive (8 bit) + \details Executes a STLB exclusive instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STLEXB(uint8_t value, volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("stlexb %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); + return(result); +} + + +/** + \brief Store-Release Exclusive (16 bit) + \details Executes a STLH exclusive instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STLEXH(uint16_t value, volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("stlexh %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); + return(result); +} + + +/** + \brief Store-Release Exclusive (32 bit) + \details Executes a STL exclusive instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STLEX(uint32_t value, volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("stlex %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); + return(result); +} + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + +/*@}*/ /* end of group CMSIS_Core_InstructionInterface */ + + +/* ################### Compiler specific Intrinsics ########################### */ +/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics + Access to dedicated SIMD instructions + @{ +*/ + +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + +__STATIC_FORCEINLINE uint32_t __SADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + + +__STATIC_FORCEINLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + + +__STATIC_FORCEINLINE uint32_t __SADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USAD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#define __SSAT16(ARG1, ARG2) \ +({ \ + int32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("ssat16 %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + +#define __USAT16(ARG1, ARG2) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("usat16 %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + +__STATIC_FORCEINLINE uint32_t __UXTB16(uint32_t op1) +{ + uint32_t result; + + __ASM ("uxtb16 %0, %1" : "=r" (result) : "r" (op1)); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SXTB16(uint32_t op1) +{ + uint32_t result; + + __ASM ("sxtb16 %0, %1" : "=r" (result) : "r" (op1)); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SXTB16_RORn(uint32_t op1, uint32_t rotate) +{ + uint32_t result; + + __ASM ("sxtb16 %0, %1, ROR %2" : "=r" (result) : "r" (op1), "i" (rotate) ); + + return result; +} + +__STATIC_FORCEINLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUAD (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint64_t __SMLALD (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint64_t __SMLALDX (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint32_t __SMUSD (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint64_t __SMLSLD (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint64_t __SMLSLDX (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint32_t __SEL (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE int32_t __QADD( int32_t op1, int32_t op2) +{ + int32_t result; + + __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE int32_t __QSUB( int32_t op1, int32_t op2) +{ + int32_t result; + + __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +#if 0 +#define __PKHBT(ARG1,ARG2,ARG3) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \ + __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2), "I" (ARG3) ); \ + __RES; \ + }) + +#define __PKHTB(ARG1,ARG2,ARG3) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \ + if (ARG3 == 0) \ + __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2) ); \ + else \ + __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2), "I" (ARG3) ); \ + __RES; \ + }) +#endif + +#define __PKHBT(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0x0000FFFFUL) | \ + ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL) ) + +#define __PKHTB(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0xFFFF0000UL) | \ + ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL) ) + +__STATIC_FORCEINLINE int32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3) +{ + int32_t result; + + __ASM ("smmla %0, %1, %2, %3" : "=r" (result): "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#endif /* (__ARM_FEATURE_DSP == 1) */ +/*@} end of group CMSIS_SIMD_intrinsics */ + + +#pragma GCC diagnostic pop + +#endif /* __CMSIS_GCC_H */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_common_tables.h b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_common_tables.h new file mode 100644 index 0000000000..721b18dd2d --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_common_tables.h @@ -0,0 +1,517 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_common_tables.h + * Description: Extern declaration for common tables + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_COMMON_TABLES_H +#define _ARM_COMMON_TABLES_H + +#include "arm_math.h" + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + /* Double Precision Float CFFT twiddles */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024) + extern const uint16_t armBitRevTable[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16) + extern const uint64_t twiddleCoefF64_16[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32) + extern const uint64_t twiddleCoefF64_32[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64) + extern const uint64_t twiddleCoefF64_64[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128) + extern const uint64_t twiddleCoefF64_128[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256) + extern const uint64_t twiddleCoefF64_256[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512) + extern const uint64_t twiddleCoefF64_512[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024) + extern const uint64_t twiddleCoefF64_1024[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048) + extern const uint64_t twiddleCoefF64_2048[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096) + extern const uint64_t twiddleCoefF64_4096[8192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) + extern const float32_t twiddleCoef_16[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + extern const float32_t twiddleCoef_32[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) + extern const float32_t twiddleCoef_64[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + extern const float32_t twiddleCoef_128[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) + extern const float32_t twiddleCoef_256[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + extern const float32_t twiddleCoef_512[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) + extern const float32_t twiddleCoef_1024[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + extern const float32_t twiddleCoef_2048[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) + extern const float32_t twiddleCoef_4096[8192]; + #define twiddleCoef twiddleCoef_4096 + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) + extern const q31_t twiddleCoef_16_q31[24]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + extern const q31_t twiddleCoef_32_q31[48]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) + extern const q31_t twiddleCoef_64_q31[96]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + extern const q31_t twiddleCoef_128_q31[192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) + extern const q31_t twiddleCoef_256_q31[384]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + extern const q31_t twiddleCoef_512_q31[768]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) + extern const q31_t twiddleCoef_1024_q31[1536]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + extern const q31_t twiddleCoef_2048_q31[3072]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) + extern const q31_t twiddleCoef_4096_q31[6144]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) + extern const q15_t twiddleCoef_16_q15[24]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + extern const q15_t twiddleCoef_32_q15[48]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) + extern const q15_t twiddleCoef_64_q15[96]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + extern const q15_t twiddleCoef_128_q15[192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) + extern const q15_t twiddleCoef_256_q15[384]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + extern const q15_t twiddleCoef_512_q15[768]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) + extern const q15_t twiddleCoef_1024_q15[1536]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + extern const q15_t twiddleCoef_2048_q15[3072]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) + extern const q15_t twiddleCoef_4096_q15[6144]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + /* Double Precision Float RFFT twiddles */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32) + extern const uint64_t twiddleCoefF64_rfft_32[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) + extern const uint64_t twiddleCoefF64_rfft_64[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) + extern const uint64_t twiddleCoefF64_rfft_128[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) + extern const uint64_t twiddleCoefF64_rfft_256[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) + extern const uint64_t twiddleCoefF64_rfft_512[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) + extern const uint64_t twiddleCoefF64_rfft_1024[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) + extern const uint64_t twiddleCoefF64_rfft_2048[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) + extern const uint64_t twiddleCoefF64_rfft_4096[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) + extern const float32_t twiddleCoef_rfft_32[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) + extern const float32_t twiddleCoef_rfft_64[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) + extern const float32_t twiddleCoef_rfft_128[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) + extern const float32_t twiddleCoef_rfft_256[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) + extern const float32_t twiddleCoef_rfft_512[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) + extern const float32_t twiddleCoef_rfft_1024[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048) + extern const float32_t twiddleCoef_rfft_2048[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096) + extern const float32_t twiddleCoef_rfft_4096[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + /* Double precision floating-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16) + #define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12) + extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32) + #define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24) + extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64) + #define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128) + #define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112) + extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256) + #define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240) + extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512) + #define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480) + extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024) + #define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992) + extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048) + #define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984) + extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096) + #define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + /* floating-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16) + #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20) + extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32) + #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48) + extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64) + #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128) + #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208) + extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256) + #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440) + extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512) + #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448) + extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024) + #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800) + extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048) + #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808) + extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096) + #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + /* fixed-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12) + extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) + #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24) + extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) + #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) + #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112) + extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) + #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240) + extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) + #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480) + extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) + #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992) + extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984) + extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32) + extern const float32_t realCoefA[8192]; + extern const float32_t realCoefB[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31) + extern const q31_t realCoefAQ31[8192]; + extern const q31_t realCoefBQ31[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15) + extern const q15_t realCoefAQ15[8192]; + extern const q15_t realCoefBQ15[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128) + extern const float32_t Weights_128[256]; + extern const float32_t cos_factors_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512) + extern const float32_t Weights_512[1024]; + extern const float32_t cos_factors_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048) + extern const float32_t Weights_2048[4096]; + extern const float32_t cos_factors_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192) + extern const float32_t Weights_8192[16384]; + extern const float32_t cos_factors_8192[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128) + extern const q15_t WeightsQ15_128[256]; + extern const q15_t cos_factorsQ15_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512) + extern const q15_t WeightsQ15_512[1024]; + extern const q15_t cos_factorsQ15_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048) + extern const q15_t WeightsQ15_2048[4096]; + extern const q15_t cos_factorsQ15_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192) + extern const q15_t WeightsQ15_8192[16384]; + extern const q15_t cos_factorsQ15_8192[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128) + extern const q31_t WeightsQ31_128[256]; + extern const q31_t cos_factorsQ31_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) + extern const q31_t WeightsQ31_512[1024]; + extern const q31_t cos_factorsQ31_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) + extern const q31_t WeightsQ31_2048[4096]; + extern const q31_t cos_factorsQ31_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) + extern const q31_t WeightsQ31_8192[16384]; + extern const q31_t cos_factorsQ31_8192[8192]; + #endif + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES) + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15) + extern const q15_t armRecipTableQ15[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31) + extern const q31_t armRecipTableQ31[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + /* Tables for Fast Math Sine and Cosine */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32) + extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31) + extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15) + extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) + extern const q31_t sqrtTable_Q31[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + #endif + + #if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) + extern const q15_t sqrtTable_Q15[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + #endif + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */ + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + extern const float32_t exp_tab[8]; + extern const float32_t __logf_lut_f32[8]; +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) +extern const unsigned char hwLUT[256]; +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#endif /* ARM_COMMON_TABLES_H */ + diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_const_structs.h b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_const_structs.h new file mode 100644 index 0000000000..83984c40cd --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_const_structs.h @@ -0,0 +1,76 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.h + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() function. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_CONST_STRUCTS_H +#define _ARM_CONST_STRUCTS_H + +#include "arm_math.h" +#include "arm_common_tables.h" + + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096; + + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096; + + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096; + + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096; + +#endif diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_math.h b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_math.h new file mode 100644 index 0000000000..48bee62cd9 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Include/arm_math.h @@ -0,0 +1,8970 @@ +/****************************************************************************** + * @file arm_math.h + * @brief Public header file for CMSIS DSP Library + * @version V1.7.0 + * @date 18. March 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/** + \mainpage CMSIS DSP Software Library + * + * Introduction + * ------------ + * + * This user manual describes the CMSIS DSP software library, + * a suite of common signal processing functions for use on Cortex-M and Cortex-A processor + * based devices. + * + * The library is divided into a number of functions each covering a specific category: + * - Basic math functions + * - Fast math functions + * - Complex math functions + * - Filtering functions + * - Matrix functions + * - Transform functions + * - Motor control functions + * - Statistical functions + * - Support functions + * - Interpolation functions + * - Support Vector Machine functions (SVM) + * - Bayes classifier functions + * - Distance functions + * + * The library has generally separate functions for operating on 8-bit integers, 16-bit integers, + * 32-bit integer and 32-bit floating-point values. + * + * Using the Library + * ------------ + * + * The library installer contains prebuilt versions of the libraries in the Lib folder. + * + * Here is the list of pre-built libraries : + * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit) + * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit) + * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit) + * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on) + * - arm_cortexM7l_math.lib (Cortex-M7, Little endian) + * - arm_cortexM7b_math.lib (Cortex-M7, Big endian) + * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit) + * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit) + * - arm_cortexM4l_math.lib (Cortex-M4, Little endian) + * - arm_cortexM4b_math.lib (Cortex-M4, Big endian) + * - arm_cortexM3l_math.lib (Cortex-M3, Little endian) + * - arm_cortexM3b_math.lib (Cortex-M3, Big endian) + * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian) + * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian) + * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian) + * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian) + * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit) + * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions) + * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit) + * + * The library functions are declared in the public file arm_math.h which is placed in the Include folder. + * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single + * public header file arm_math.h for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants. + * + * + * Examples + * -------- + * + * The library ships with a number of examples which demonstrate how to use the library functions. + * + * Toolchain Support + * ------------ + * + * The library is now tested on Fast Models building with cmake. + * Core M0, M7, A5 are tested. + * + * + * + * Building the Library + * ------------ + * + * The library installer contains a project file to rebuild libraries on MDK toolchain in the CMSIS\\DSP\\Projects\\ARM folder. + * - arm_cortexM_math.uvprojx + * + * + * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above. + * + * There is also a work in progress cmake build. The README file is giving more details. + * + * Preprocessor Macros + * ------------ + * + * Each library project have different preprocessor macros. + * + * - ARM_MATH_BIG_ENDIAN: + * + * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets. + * + * - ARM_MATH_MATRIX_CHECK: + * + * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices + * + * - ARM_MATH_ROUNDING: + * + * Define macro ARM_MATH_ROUNDING for rounding on support functions + * + * - ARM_MATH_LOOPUNROLL: + * + * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions + * + * - ARM_MATH_NEON: + * + * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions. + * It is not enabled by default when Neon is available because performances are + * dependent on the compiler and target architecture. + * + * - ARM_MATH_NEON_EXPERIMENTAL: + * + * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of + * of some DSP functions. Experimental Neon versions currently do not have better + * performances than the scalar versions. + * + * - ARM_MATH_HELIUM: + * + * It implies the flags ARM_MATH_MVEF and ARM_MATH_MVEI and ARM_MATH_FLOAT16. + * + * - ARM_MATH_MVEF: + * + * Select Helium versions of the f32 algorithms. + * It implies ARM_MATH_FLOAT16 and ARM_MATH_MVEI. + * + * - ARM_MATH_MVEI: + * + * Select Helium versions of the int and fixed point algorithms. + * + * - ARM_MATH_FLOAT16: + * + * Float16 implementations of some algorithms (Requires MVE extension). + * + *
+ * CMSIS-DSP in ARM::CMSIS Pack + * ----------------------------- + * + * The following files relevant to CMSIS-DSP are present in the ARM::CMSIS Pack directories: + * |File/Folder |Content | + * |---------------------------------|------------------------------------------------------------------------| + * |\b CMSIS\\Documentation\\DSP | This documentation | + * |\b CMSIS\\DSP\\DSP_Lib_TestSuite | DSP_Lib test suite | + * |\b CMSIS\\DSP\\Examples | Example projects demonstrating the usage of the library functions | + * |\b CMSIS\\DSP\\Include | DSP_Lib include files | + * |\b CMSIS\\DSP\\Lib | DSP_Lib binaries | + * |\b CMSIS\\DSP\\Projects | Projects to rebuild DSP_Lib binaries | + * |\b CMSIS\\DSP\\Source | DSP_Lib source files | + * + *
+ * Revision History of CMSIS-DSP + * ------------ + * Please refer to \ref ChangeLog_pg. + */ + + +/** + * @defgroup groupMath Basic Math Functions + */ + +/** + * @defgroup groupFastMath Fast Math Functions + * This set of functions provides a fast approximation to sine, cosine, and square root. + * As compared to most of the other functions in the CMSIS math library, the fast math functions + * operate on individual values and not arrays. + * There are separate functions for Q15, Q31, and floating-point data. + * + */ + +/** + * @defgroup groupCmplxMath Complex Math Functions + * This set of functions operates on complex data vectors. + * The data in the complex arrays is stored in an interleaved fashion + * (real, imag, real, imag, ...). + * In the API functions, the number of samples in a complex array refers + * to the number of complex values; the array contains twice this number of + * real values. + */ + +/** + * @defgroup groupFilters Filtering Functions + */ + +/** + * @defgroup groupMatrix Matrix Functions + * + * This set of functions provides basic matrix math operations. + * The functions operate on matrix data structures. For example, + * the type + * definition for the floating-point matrix structure is shown + * below: + * 
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types. + * + * The structure specifies the size of the matrix and then points to + * an array of data. The array is of size numRows X numCols + * and the values are arranged in row order. That is, the + * matrix element (i, j) is stored at: + * 
+ *     pData[i*numCols + j]
+ *
+ * + * \par Init Functions + * There is an associated initialization function for each type of matrix + * data structure. + * The initialization function sets the values of the internal structure fields. + * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15() + * for floating-point, Q31 and Q15 types, respectively. + * + * \par + * Use of the initialization function is optional. However, if initialization function is used + * then the instance structure cannot be placed into a const data section. + * To place the instance structure in a const data + * section, manually initialize the data structure. For example: + * 
+ * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
+ *
+ * where nRows specifies the number of rows, nColumns + * specifies the number of columns, and pData points to the + * data array. + * + * \par Size Checking + * By default all of the matrix functions perform size checking on the input and + * output matrices. For example, the matrix addition function verifies that the + * two input matrices and the output matrix all have the same number of rows and + * columns. If the size check fails the functions return: + * 
+ *     ARM_MATH_SIZE_MISMATCH
+ *
+ * Otherwise the functions return + * 
+ *     ARM_MATH_SUCCESS
+ *
+ * There is some overhead associated with this matrix size checking. + * The matrix size checking is enabled via the \#define + * 
+ *     ARM_MATH_MATRIX_CHECK
+ *
+ * within the library project settings. By default this macro is defined + * and size checking is enabled. By changing the project settings and + * undefining this macro size checking is eliminated and the functions + * run a bit faster. With size checking disabled the functions always + * return ARM_MATH_SUCCESS. + */ + +/** + * @defgroup groupTransforms Transform Functions + */ + +/** + * @defgroup groupController Controller Functions + */ + +/** + * @defgroup groupStats Statistics Functions + */ + +/** + * @defgroup groupSupport Support Functions + */ + +/** + * @defgroup groupInterpolation Interpolation Functions + * These functions perform 1- and 2-dimensional interpolation of data. + * Linear interpolation is used for 1-dimensional data and + * bilinear interpolation is used for 2-dimensional data. + */ + +/** + * @defgroup groupExamples Examples + */ + +/** + * @defgroup groupSVM SVM Functions + * This set of functions is implementing SVM classification on 2 classes. + * The training must be done from scikit-learn. The parameters can be easily + * generated from the scikit-learn object. Some examples are given in + * DSP/Testing/PatternGeneration/SVM.py + * + * If more than 2 classes are needed, the functions in this folder + * will have to be used, as building blocks, to do multi-class classification. + * + * No multi-class classification is provided in this SVM folder. + * + */ + + +/** + * @defgroup groupBayes Bayesian estimators + * + * Implement the naive gaussian Bayes estimator. + * The training must be done from scikit-learn. + * + * The parameters can be easily + * generated from the scikit-learn object. Some examples are given in + * DSP/Testing/PatternGeneration/Bayes.py + */ + +/** + * @defgroup groupDistance Distance functions + * + * Distance functions for use with clustering algorithms. + * There are distance functions for float vectors and boolean vectors. + * + */ + + +#ifndef _ARM_MATH_H +#define _ARM_MATH_H + +#ifdef __cplusplus +extern "C" +{ +#endif + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wsign-conversion" + #pragma GCC diagnostic ignored "-Wconversion" + #pragma GCC diagnostic ignored "-Wunused-parameter" + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + + +/* Included for instrinsics definitions */ +#if defined (_MSC_VER ) +#include +#define __STATIC_FORCEINLINE static __forceinline +#define __STATIC_INLINE static __inline +#define __ALIGNED(x) __declspec(align(x)) + +#elif defined (__GNUC_PYTHON__) +#include +#define __ALIGNED(x) __attribute__((aligned(x))) +#define __STATIC_FORCEINLINE static __attribute__((inline)) +#define __STATIC_INLINE static __attribute__((inline)) +#pragma GCC diagnostic ignored "-Wunused-function" +#pragma GCC diagnostic ignored "-Wattributes" + +#else +#include "cmsis_compiler.h" +#endif + + + +#include +#include +#include +#include + + +#define F64_MAX ((float64_t)DBL_MAX) +#define F32_MAX ((float32_t)FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_MAX ((float16_t)FLT_MAX) +#endif + +#define F64_MIN (-DBL_MAX) +#define F32_MIN (-FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_MIN (-(float16_t)FLT_MAX) +#endif + +#define F64_ABSMAX ((float64_t)DBL_MAX) +#define F32_ABSMAX ((float32_t)FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_ABSMAX ((float16_t)FLT_MAX) +#endif + +#define F64_ABSMIN ((float64_t)0.0) +#define F32_ABSMIN ((float32_t)0.0) + +#if defined(ARM_MATH_FLOAT16) +#define F16_ABSMIN ((float16_t)0.0) +#endif + +#define Q31_MAX ((q31_t)(0x7FFFFFFFL)) +#define Q15_MAX ((q15_t)(0x7FFF)) +#define Q7_MAX ((q7_t)(0x7F)) +#define Q31_MIN ((q31_t)(0x80000000L)) +#define Q15_MIN ((q15_t)(0x8000)) +#define Q7_MIN ((q7_t)(0x80)) + +#define Q31_ABSMAX ((q31_t)(0x7FFFFFFFL)) +#define Q15_ABSMAX ((q15_t)(0x7FFF)) +#define Q7_ABSMAX ((q7_t)(0x7F)) +#define Q31_ABSMIN ((q31_t)0) +#define Q15_ABSMIN ((q15_t)0) +#define Q7_ABSMIN ((q7_t)0) + +/* evaluate ARM DSP feature */ +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + #define ARM_MATH_DSP 1 +#endif + +#if defined(ARM_MATH_NEON) +#include +#endif + +#if defined (ARM_MATH_HELIUM) + #define ARM_MATH_MVEF + #define ARM_MATH_FLOAT16 +#endif + +#if defined (ARM_MATH_MVEF) + #define ARM_MATH_MVEI + #define ARM_MATH_FLOAT16 +#endif + +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) +#include +#endif + + + /** + * @brief Macros required for reciprocal calculation in Normalized LMS + */ + +#define DELTA_Q31 ((q31_t)(0x100)) +#define DELTA_Q15 ((q15_t)0x5) +#define INDEX_MASK 0x0000003F +#ifndef PI + #define PI 3.14159265358979f +#endif + + /** + * @brief Macros required for SINE and COSINE Fast math approximations + */ + +#define FAST_MATH_TABLE_SIZE 512 +#define FAST_MATH_Q31_SHIFT (32 - 10) +#define FAST_MATH_Q15_SHIFT (16 - 10) +#define CONTROLLER_Q31_SHIFT (32 - 9) +#define TABLE_SPACING_Q31 0x400000 +#define TABLE_SPACING_Q15 0x80 + + /** + * @brief Macros required for SINE and COSINE Controller functions + */ + /* 1.31(q31) Fixed value of 2/360 */ + /* -1 to +1 is divided into 360 values so total spacing is (2/360) */ +#define INPUT_SPACING 0xB60B61 + + /** + * @brief Macros for complex numbers + */ + + /* Dimension C vector space */ + #define CMPLX_DIM 2 + + /** + * @brief Error status returned by some functions in the library. + */ + + typedef enum + { + ARM_MATH_SUCCESS = 0, /**< No error */ + ARM_MATH_ARGUMENT_ERROR = -1, /**< One or more arguments are incorrect */ + ARM_MATH_LENGTH_ERROR = -2, /**< Length of data buffer is incorrect */ + ARM_MATH_SIZE_MISMATCH = -3, /**< Size of matrices is not compatible with the operation */ + ARM_MATH_NANINF = -4, /**< Not-a-number (NaN) or infinity is generated */ + ARM_MATH_SINGULAR = -5, /**< Input matrix is singular and cannot be inverted */ + ARM_MATH_TEST_FAILURE = -6 /**< Test Failed */ + } arm_status; + + /** + * @brief 8-bit fractional data type in 1.7 format. + */ + typedef int8_t q7_t; + + /** + * @brief 16-bit fractional data type in 1.15 format. + */ + typedef int16_t q15_t; + + /** + * @brief 32-bit fractional data type in 1.31 format. + */ + typedef int32_t q31_t; + + /** + * @brief 64-bit fractional data type in 1.63 format. + */ + typedef int64_t q63_t; + + /** + * @brief 32-bit floating-point type definition. + */ + typedef float float32_t; + + /** + * @brief 64-bit floating-point type definition. + */ + typedef double float64_t; + + /** + * @brief vector types + */ +#if defined(ARM_MATH_NEON) || defined (ARM_MATH_MVEI) + /** + * @brief 64-bit fractional 128-bit vector data type in 1.63 format + */ + typedef int64x2_t q63x2_t; + + /** + * @brief 32-bit fractional 128-bit vector data type in 1.31 format. + */ + typedef int32x4_t q31x4_t; + + /** + * @brief 16-bit fractional 128-bit vector data type with 16-bit alignement in 1.15 format. + */ + typedef __ALIGNED(2) int16x8_t q15x8_t; + + /** + * @brief 8-bit fractional 128-bit vector data type with 8-bit alignement in 1.7 format. + */ + typedef __ALIGNED(1) int8x16_t q7x16_t; + + /** + * @brief 32-bit fractional 128-bit vector pair data type in 1.31 format. + */ + typedef int32x4x2_t q31x4x2_t; + + /** + * @brief 32-bit fractional 128-bit vector quadruplet data type in 1.31 format. + */ + typedef int32x4x4_t q31x4x4_t; + + /** + * @brief 16-bit fractional 128-bit vector pair data type in 1.15 format. + */ + typedef int16x8x2_t q15x8x2_t; + + /** + * @brief 16-bit fractional 128-bit vector quadruplet data type in 1.15 format. + */ + typedef int16x8x4_t q15x8x4_t; + + /** + * @brief 8-bit fractional 128-bit vector pair data type in 1.7 format. + */ + typedef int8x16x2_t q7x16x2_t; + + /** + * @brief 8-bit fractional 128-bit vector quadruplet data type in 1.7 format. + */ + typedef int8x16x4_t q7x16x4_t; + + /** + * @brief 32-bit fractional data type in 9.23 format. + */ + typedef int32_t q23_t; + + /** + * @brief 32-bit fractional 128-bit vector data type in 9.23 format. + */ + typedef int32x4_t q23x4_t; + + /** + * @brief 64-bit status 128-bit vector data type. + */ + typedef int64x2_t status64x2_t; + + /** + * @brief 32-bit status 128-bit vector data type. + */ + typedef int32x4_t status32x4_t; + + /** + * @brief 16-bit status 128-bit vector data type. + */ + typedef int16x8_t status16x8_t; + + /** + * @brief 8-bit status 128-bit vector data type. + */ + typedef int8x16_t status8x16_t; + + +#endif + +#if defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF) /* floating point vector*/ + /** + * @brief 32-bit floating-point 128-bit vector type + */ + typedef float32x4_t f32x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector data type + */ + typedef __ALIGNED(2) float16x8_t f16x8_t; +#endif + + /** + * @brief 32-bit floating-point 128-bit vector pair data type + */ + typedef float32x4x2_t f32x4x2_t; + + /** + * @brief 32-bit floating-point 128-bit vector quadruplet data type + */ + typedef float32x4x4_t f32x4x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector pair data type + */ + typedef float16x8x2_t f16x8x2_t; + + /** + * @brief 16-bit floating-point 128-bit vector quadruplet data type + */ + typedef float16x8x4_t f16x8x4_t; +#endif + + /** + * @brief 32-bit ubiquitous 128-bit vector data type + */ + typedef union _any32x4_t + { + float32x4_t f; + int32x4_t i; + } any32x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit ubiquitous 128-bit vector data type + */ + typedef union _any16x8_t + { + float16x8_t f; + int16x8_t i; + } any16x8_t; +#endif + +#endif + +#if defined(ARM_MATH_NEON) + /** + * @brief 32-bit fractional 64-bit vector data type in 1.31 format. + */ + typedef int32x2_t q31x2_t; + + /** + * @brief 16-bit fractional 64-bit vector data type in 1.15 format. + */ + typedef __ALIGNED(2) int16x4_t q15x4_t; + + /** + * @brief 8-bit fractional 64-bit vector data type in 1.7 format. + */ + typedef __ALIGNED(1) int8x8_t q7x8_t; + + /** + * @brief 32-bit float 64-bit vector data type. + */ + typedef float32x2_t f32x2_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit float 64-bit vector data type. + */ + typedef __ALIGNED(2) float16x4_t f16x4_t; +#endif + + /** + * @brief 32-bit floating-point 128-bit vector triplet data type + */ + typedef float32x4x3_t f32x4x3_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector triplet data type + */ + typedef float16x8x3_t f16x8x3_t; +#endif + + /** + * @brief 32-bit fractional 128-bit vector triplet data type in 1.31 format + */ + typedef int32x4x3_t q31x4x3_t; + + /** + * @brief 16-bit fractional 128-bit vector triplet data type in 1.15 format + */ + typedef int16x8x3_t q15x8x3_t; + + /** + * @brief 8-bit fractional 128-bit vector triplet data type in 1.7 format + */ + typedef int8x16x3_t q7x16x3_t; + + /** + * @brief 32-bit floating-point 64-bit vector pair data type + */ + typedef float32x2x2_t f32x2x2_t; + + /** + * @brief 32-bit floating-point 64-bit vector triplet data type + */ + typedef float32x2x3_t f32x2x3_t; + + /** + * @brief 32-bit floating-point 64-bit vector quadruplet data type + */ + typedef float32x2x4_t f32x2x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 64-bit vector pair data type + */ + typedef float16x4x2_t f16x4x2_t; + + /** + * @brief 16-bit floating-point 64-bit vector triplet data type + */ + typedef float16x4x3_t f16x4x3_t; + + /** + * @brief 16-bit floating-point 64-bit vector quadruplet data type + */ + typedef float16x4x4_t f16x4x4_t; +#endif + + /** + * @brief 32-bit fractional 64-bit vector pair data type in 1.31 format + */ + typedef int32x2x2_t q31x2x2_t; + + /** + * @brief 32-bit fractional 64-bit vector triplet data type in 1.31 format + */ + typedef int32x2x3_t q31x2x3_t; + + /** + * @brief 32-bit fractional 64-bit vector quadruplet data type in 1.31 format + */ + typedef int32x4x3_t q31x2x4_t; + + /** + * @brief 16-bit fractional 64-bit vector pair data type in 1.15 format + */ + typedef int16x4x2_t q15x4x2_t; + + /** + * @brief 16-bit fractional 64-bit vector triplet data type in 1.15 format + */ + typedef int16x4x2_t q15x4x3_t; + + /** + * @brief 16-bit fractional 64-bit vector quadruplet data type in 1.15 format + */ + typedef int16x4x3_t q15x4x4_t; + + /** + * @brief 8-bit fractional 64-bit vector pair data type in 1.7 format + */ + typedef int8x8x2_t q7x8x2_t; + + /** + * @brief 8-bit fractional 64-bit vector triplet data type in 1.7 format + */ + typedef int8x8x3_t q7x8x3_t; + + /** + * @brief 8-bit fractional 64-bit vector quadruplet data type in 1.7 format + */ + typedef int8x8x4_t q7x8x4_t; + + /** + * @brief 32-bit ubiquitous 64-bit vector data type + */ + typedef union _any32x2_t + { + float32x2_t f; + int32x2_t i; + } any32x2_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit ubiquitous 64-bit vector data type + */ + typedef union _any16x4_t + { + float16x4_t f; + int16x4_t i; + } any16x4_t; +#endif + + /** + * @brief 32-bit status 64-bit vector data type. + */ + typedef int32x4_t status32x2_t; + + /** + * @brief 16-bit status 64-bit vector data type. + */ + typedef int16x8_t status16x4_t; + + /** + * @brief 8-bit status 64-bit vector data type. + */ + typedef int8x16_t status8x8_t; + +#endif + + + +/** + @brief definition to read/write two 16 bit values. + @deprecated + */ +#if defined ( __CC_ARM ) + #define __SIMD32_TYPE int32_t __packed +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define __SIMD32_TYPE int32_t +#elif defined ( __GNUC__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __ICCARM__ ) + #define __SIMD32_TYPE int32_t __packed +#elif defined ( __TI_ARM__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __CSMC__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __TASKING__ ) + #define __SIMD32_TYPE __un(aligned) int32_t +#elif defined(_MSC_VER ) + #define __SIMD32_TYPE int32_t +#else + #error Unknown compiler +#endif + +#define __SIMD32(addr) (*(__SIMD32_TYPE **) & (addr)) +#define __SIMD32_CONST(addr) ( (__SIMD32_TYPE * ) (addr)) +#define _SIMD32_OFFSET(addr) (*(__SIMD32_TYPE * ) (addr)) +#define __SIMD64(addr) (*( int64_t **) & (addr)) + +#define STEP(x) (x) <= 0 ? 0 : 1 +#define SQ(x) ((x) * (x)) + +/* SIMD replacement */ + + +/** + @brief Read 2 Q15 from Q15 pointer. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2 ( + q15_t * pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, pQ15, 4); +#else + val = (pQ15[1] << 16) | (pQ15[0] & 0x0FFFF) ; +#endif + + return (val); +} + +/** + @brief Read 2 Q15 from Q15 pointer and increment pointer afterwards. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2_ia ( + q15_t ** pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ15, 4); +#else + val = ((*pQ15)[1] << 16) | ((*pQ15)[0] & 0x0FFFF); +#endif + + *pQ15 += 2; + return (val); +} + +/** + @brief Read 2 Q15 from Q15 pointer and decrement pointer afterwards. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2_da ( + q15_t ** pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ15, 4); +#else + val = ((*pQ15)[1] << 16) | ((*pQ15)[0] & 0x0FFFF); +#endif + + *pQ15 -= 2; + return (val); +} + +/** + @brief Write 2 Q15 to Q15 pointer and increment pointer afterwards. + @param[in] pQ15 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q15x2_ia ( + q15_t ** pQ15, + q31_t value) +{ + q31_t val = value; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (*pQ15, &val, 4); +#else + (*pQ15)[0] = (val & 0x0FFFF); + (*pQ15)[1] = (val >> 16) & 0x0FFFF; +#endif + + *pQ15 += 2; +} + +/** + @brief Write 2 Q15 to Q15 pointer. + @param[in] pQ15 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q15x2 ( + q15_t * pQ15, + q31_t value) +{ + q31_t val = value; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (pQ15, &val, 4); +#else + pQ15[0] = val & 0x0FFFF; + pQ15[1] = val >> 16; +#endif +} + + +/** + @brief Read 4 Q7 from Q7 pointer and increment pointer afterwards. + @param[in] pQ7 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q7x4_ia ( + q7_t ** pQ7) +{ + q31_t val; + + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ7, 4); +#else + val =(((*pQ7)[3] & 0x0FF) << 24) | (((*pQ7)[2] & 0x0FF) << 16) | (((*pQ7)[1] & 0x0FF) << 8) | ((*pQ7)[0] & 0x0FF); +#endif + + *pQ7 += 4; + + return (val); +} + +/** + @brief Read 4 Q7 from Q7 pointer and decrement pointer afterwards. + @param[in] pQ7 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q7x4_da ( + q7_t ** pQ7) +{ + q31_t val; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ7, 4); +#else + val = ((((*pQ7)[3]) & 0x0FF) << 24) | ((((*pQ7)[2]) & 0x0FF) << 16) | ((((*pQ7)[1]) & 0x0FF) << 8) | ((*pQ7)[0] & 0x0FF); +#endif + *pQ7 -= 4; + + return (val); +} + +/** + @brief Write 4 Q7 to Q7 pointer and increment pointer afterwards. + @param[in] pQ7 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q7x4_ia ( + q7_t ** pQ7, + q31_t value) +{ + q31_t val = value; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (*pQ7, &val, 4); +#else + (*pQ7)[0] = val & 0x0FF; + (*pQ7)[1] = (val >> 8) & 0x0FF; + (*pQ7)[2] = (val >> 16) & 0x0FF; + (*pQ7)[3] = (val >> 24) & 0x0FF; + +#endif + *pQ7 += 4; +} + +/* + +Normally those kind of definitions are in a compiler file +in Core or Core_A. + +But for MSVC compiler it is a bit special. The goal is very specific +to CMSIS-DSP and only to allow the use of this library from other +systems like Python or Matlab. + +MSVC is not going to be used to cross-compile to ARM. So, having a MSVC +compiler file in Core or Core_A would not make sense. + +*/ +#if defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data) + { + if (data == 0U) { return 32U; } + + uint32_t count = 0U; + uint32_t mask = 0x80000000U; + + while ((data & mask) == 0U) + { + count += 1U; + mask = mask >> 1U; + } + return count; + } + + __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) + { + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; + } + + __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) + { + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; + } +#endif + +#ifndef ARM_MATH_DSP + /** + * @brief definition to pack two 16 bit values. + */ + #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \ + (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) ) + #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \ + (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) ) +#endif + + /** + * @brief definition to pack four 8 bit values. + */ +#ifndef ARM_MATH_BIG_ENDIAN + #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v3) << 24) & (int32_t)0xFF000000) ) +#else + #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v0) << 24) & (int32_t)0xFF000000) ) +#endif + + + /** + * @brief Clips Q63 to Q31 values. + */ + __STATIC_FORCEINLINE q31_t clip_q63_to_q31( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x; + } + + /** + * @brief Clips Q63 to Q15 values. + */ + __STATIC_FORCEINLINE q15_t clip_q63_to_q15( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15); + } + + /** + * @brief Clips Q31 to Q7 values. + */ + __STATIC_FORCEINLINE q7_t clip_q31_to_q7( + q31_t x) + { + return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ? + ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x; + } + + /** + * @brief Clips Q31 to Q15 values. + */ + __STATIC_FORCEINLINE q15_t clip_q31_to_q15( + q31_t x) + { + return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ? + ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x; + } + + /** + * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format. + */ + __STATIC_FORCEINLINE q63_t mult32x64( + q63_t x, + q31_t y) + { + return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) + + (((q63_t) (x >> 32) * y) ) ); + } + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type. + */ + __STATIC_FORCEINLINE uint32_t arm_recip_q31( + q31_t in, + q31_t * dst, + const q31_t * pRecipTable) + { + q31_t out; + uint32_t tempVal; + uint32_t index, i; + uint32_t signBits; + + if (in > 0) + { + signBits = ((uint32_t) (__CLZ( in) - 1)); + } + else + { + signBits = ((uint32_t) (__CLZ(-in) - 1)); + } + + /* Convert input sample to 1.31 format */ + in = (in << signBits); + + /* calculation of index for initial approximated Val */ + index = (uint32_t)(in >> 24); + index = (index & INDEX_MASK); + + /* 1.31 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0U; i < 2U; i++) + { + tempVal = (uint32_t) (((q63_t) in * out) >> 31); + tempVal = 0x7FFFFFFFu - tempVal; + /* 1.31 with exp 1 */ + /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */ + out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30); + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1U); + } + + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type. + */ + __STATIC_FORCEINLINE uint32_t arm_recip_q15( + q15_t in, + q15_t * dst, + const q15_t * pRecipTable) + { + q15_t out = 0; + uint32_t tempVal = 0; + uint32_t index = 0, i = 0; + uint32_t signBits = 0; + + if (in > 0) + { + signBits = ((uint32_t)(__CLZ( in) - 17)); + } + else + { + signBits = ((uint32_t)(__CLZ(-in) - 17)); + } + + /* Convert input sample to 1.15 format */ + in = (in << signBits); + + /* calculation of index for initial approximated Val */ + index = (uint32_t)(in >> 8); + index = (index & INDEX_MASK); + + /* 1.15 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0U; i < 2U; i++) + { + tempVal = (uint32_t) (((q31_t) in * out) >> 15); + tempVal = 0x7FFFu - tempVal; + /* 1.15 with exp 1 */ + out = (q15_t) (((q31_t) out * tempVal) >> 14); + /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */ + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1); + } + +/** + * @brief Integer exponentiation + * @param[in] x value + * @param[in] nb integer exponent >= 1 + * @return x^nb + * + */ +__STATIC_INLINE float32_t arm_exponent_f32(float32_t x, int32_t nb) +{ + float32_t r = x; + nb --; + while(nb > 0) + { + r = r * x; + nb--; + } + return(r); +} + +/** + * @brief 64-bit to 32-bit unsigned normalization + * @param[in] in is input unsigned long long value + * @param[out] normalized is the 32-bit normalized value + * @param[out] norm is norm scale + */ +__STATIC_INLINE void arm_norm_64_to_32u(uint64_t in, int32_t * normalized, int32_t *norm) +{ + int32_t n1; + int32_t hi = (int32_t) (in >> 32); + int32_t lo = (int32_t) ((in << 32) >> 32); + + n1 = __CLZ(hi) - 32; + if (!n1) + { + /* + * input fits in 32-bit + */ + n1 = __CLZ(lo); + if (!n1) + { + /* + * MSB set, need to scale down by 1 + */ + *norm = -1; + *normalized = (((uint32_t) lo) >> 1); + } else + { + if (n1 == 32) + { + /* + * input is zero + */ + *norm = 0; + *normalized = 0; + } else + { + /* + * 32-bit normalization + */ + *norm = n1 - 1; + *normalized = lo << *norm; + } + } + } else + { + /* + * input fits in 64-bit + */ + n1 = 1 - n1; + *norm = -n1; + /* + * 64 bit normalization + */ + *normalized = (((uint32_t) lo) >> n1) | (hi << (32 - n1)); + } +} + +__STATIC_INLINE q31_t arm_div_q63_to_q31(q63_t num, q31_t den) +{ + q31_t result; + uint64_t absNum; + int32_t normalized; + int32_t norm; + + /* + * if sum fits in 32bits + * avoid costly 64-bit division + */ + absNum = num > 0 ? num : -num; + arm_norm_64_to_32u(absNum, &normalized, &norm); + if (norm > 0) + /* + * 32-bit division + */ + result = (q31_t) num / den; + else + /* + * 64-bit division + */ + result = (q31_t) (num / den); + + return result; +} + + +/* + * @brief C custom defined intrinsic functions + */ +#if !defined (ARM_MATH_DSP) + + /* + * @brief C custom defined QADD8 + */ + __STATIC_FORCEINLINE uint32_t __QADD8( + uint32_t x, + uint32_t y) + { + q31_t r, s, t, u; + + r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; + s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; + t = __SSAT(((((q31_t)x << 8) >> 24) + (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; + u = __SSAT(((((q31_t)x ) >> 24) + (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; + + return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); + } + + + /* + * @brief C custom defined QSUB8 + */ + __STATIC_FORCEINLINE uint32_t __QSUB8( + uint32_t x, + uint32_t y) + { + q31_t r, s, t, u; + + r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; + s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; + t = __SSAT(((((q31_t)x << 8) >> 24) - (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; + u = __SSAT(((((q31_t)x ) >> 24) - (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; + + return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); + } + + + /* + * @brief C custom defined QADD16 + */ + __STATIC_FORCEINLINE uint32_t __QADD16( + uint32_t x, + uint32_t y) + { +/* q31_t r, s; without initialisation 'arm_offset_q15 test' fails but 'intrinsic' tests pass! for armCC */ + q31_t r = 0, s = 0; + + r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHADD16 + */ + __STATIC_FORCEINLINE uint32_t __SHADD16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QSUB16 + */ + __STATIC_FORCEINLINE uint32_t __QSUB16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHSUB16 + */ + __STATIC_FORCEINLINE uint32_t __SHSUB16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QASX + */ + __STATIC_FORCEINLINE uint32_t __QASX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHASX + */ + __STATIC_FORCEINLINE uint32_t __SHASX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QSAX + */ + __STATIC_FORCEINLINE uint32_t __QSAX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHSAX + */ + __STATIC_FORCEINLINE uint32_t __SHSAX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SMUSDX + */ + __STATIC_FORCEINLINE uint32_t __SMUSDX( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); + } + + /* + * @brief C custom defined SMUADX + */ + __STATIC_FORCEINLINE uint32_t __SMUADX( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); + } + + + /* + * @brief C custom defined QADD + */ + __STATIC_FORCEINLINE int32_t __QADD( + int32_t x, + int32_t y) + { + return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y))); + } + + + /* + * @brief C custom defined QSUB + */ + __STATIC_FORCEINLINE int32_t __QSUB( + int32_t x, + int32_t y) + { + return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y))); + } + + + /* + * @brief C custom defined SMLAD + */ + __STATIC_FORCEINLINE uint32_t __SMLAD( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLADX + */ + __STATIC_FORCEINLINE uint32_t __SMLADX( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLSDX + */ + __STATIC_FORCEINLINE uint32_t __SMLSDX( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLALD + */ + __STATIC_FORCEINLINE uint64_t __SMLALD( + uint32_t x, + uint32_t y, + uint64_t sum) + { +/* return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */ + return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + + ( ((q63_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLALDX + */ + __STATIC_FORCEINLINE uint64_t __SMLALDX( + uint32_t x, + uint32_t y, + uint64_t sum) + { +/* return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */ + return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q63_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMUAD + */ + __STATIC_FORCEINLINE uint32_t __SMUAD( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); + } + + + /* + * @brief C custom defined SMUSD + */ + __STATIC_FORCEINLINE uint32_t __SMUSD( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); + } + + + /* + * @brief C custom defined SXTB16 + */ + __STATIC_FORCEINLINE uint32_t __SXTB16( + uint32_t x) + { + return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) | + ((((q31_t)x << 8) >> 8) & (q31_t)0xFFFF0000) )); + } + + /* + * @brief C custom defined SMMLA + */ + __STATIC_FORCEINLINE int32_t __SMMLA( + int32_t x, + int32_t y, + int32_t sum) + { + return (sum + (int32_t) (((int64_t) x * y) >> 32)); + } + +#endif /* !defined (ARM_MATH_DSP) */ + + + /** + * @brief Instance structure for the Q7 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q7; + + /** + * @brief Instance structure for the Q15 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_f32; + + /** + * @brief Processing function for the Q7 FIR filter. + * @param[in] S points to an instance of the Q7 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q7( + const arm_fir_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q7 FIR filter. + * @param[in,out] S points to an instance of the Q7 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed. + */ + void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 FIR filter. + * @param[in] S points to an instance of the Q15 FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q15 FIR filter (fast version). + * @param[in] S points to an instance of the Q15 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 FIR filter. + * @param[in,out] S points to an instance of the Q15 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return The function returns either + * ARM_MATH_SUCCESS if initialization was successful or + * ARM_MATH_ARGUMENT_ERROR if numTaps is not a supported value. + */ + arm_status arm_fir_init_q15( + arm_fir_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR filter. + * @param[in] S points to an instance of the Q31 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q31 FIR filter (fast version). + * @param[in] S points to an instance of the Q31 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 FIR filter. + * @param[in,out] S points to an instance of the Q31 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + */ + void arm_fir_init_q31( + arm_fir_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the floating-point FIR filter. + * @param[in] S points to an instance of the floating-point FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_f32( + const arm_fir_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point FIR filter. + * @param[in,out] S points to an instance of the floating-point FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + */ + void arm_fir_init_f32( + arm_fir_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + /** + * @brief Instance structure for the Q15 Biquad cascade filter. + */ + typedef struct + { + int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + } arm_biquad_casd_df1_inst_q15; + + /** + * @brief Instance structure for the Q31 Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + } arm_biquad_casd_df1_inst_q31; + + /** + * @brief Instance structure for the floating-point Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_casd_df1_inst_f32; + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + /** + * @brief Instance structure for the modified Biquad coefs required by vectorized code. + */ + typedef struct + { + float32_t coeffs[8][4]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */ + } arm_biquad_mod_coef_f32; +#endif + + /** + * @brief Processing function for the Q15 Biquad cascade filter. + * @param[in] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 Biquad cascade filter. + * @param[in,out] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cascade_df1_init_q15( + arm_biquad_casd_df1_inst_q15 * S, + uint8_t numStages, + const q15_t * pCoeffs, + q15_t * pState, + int8_t postShift); + + /** + * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_fast_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 Biquad cascade filter + * @param[in] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_fast_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 Biquad cascade filter. + * @param[in,out] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cascade_df1_init_q31( + arm_biquad_casd_df1_inst_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q31_t * pState, + int8_t postShift); + + /** + * @brief Processing function for the floating-point Biquad cascade filter. + * @param[in] S points to an instance of the floating-point Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point Biquad cascade filter. + * @param[in,out] S points to an instance of the floating-point Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pCoeffsMod points to the modified filter coefficients (only MVE version). + * @param[in] pState points to the state buffer. + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + void arm_biquad_cascade_df1_mve_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + arm_biquad_mod_coef_f32 * pCoeffsMod, + float32_t * pState); +#endif + + void arm_biquad_cascade_df1_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u16( + const uint16_t * pSrc, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u32( + const uint32_t * pSrc, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u8( + const uint8_t * pSrc, + uint8_t * pDst, + uint32_t blockSize); + +/** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Struct for specifying sorting algorithm + */ + typedef enum + { + ARM_SORT_BITONIC = 0, + /**< Bitonic sort */ + ARM_SORT_BUBBLE = 1, + /**< Bubble sort */ + ARM_SORT_HEAP = 2, + /**< Heap sort */ + ARM_SORT_INSERTION = 3, + /**< Insertion sort */ + ARM_SORT_QUICK = 4, + /**< Quick sort */ + ARM_SORT_SELECTION = 5 + /**< Selection sort */ + } arm_sort_alg; + + /** + * @brief Struct for specifying sorting algorithm + */ + typedef enum + { + ARM_SORT_DESCENDING = 0, + /**< Descending order (9 to 0) */ + ARM_SORT_ASCENDING = 1 + /**< Ascending order (0 to 9) */ + } arm_sort_dir; + + /** + * @brief Instance structure for the sorting algorithms. + */ + typedef struct + { + arm_sort_alg alg; /**< Sorting algorithm selected */ + arm_sort_dir dir; /**< Sorting order (direction) */ + } arm_sort_instance_f32; + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] alg Selected algorithm. + * @param[in] dir Sorting order. + */ + void arm_sort_init_f32( + arm_sort_instance_f32 * S, + arm_sort_alg alg, + arm_sort_dir dir); + + /** + * @brief Instance structure for the sorting algorithms. + */ + typedef struct + { + arm_sort_dir dir; /**< Sorting order (direction) */ + float32_t * buffer; /**< Working buffer */ + } arm_merge_sort_instance_f32; + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in,out] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_merge_sort_f32( + const arm_merge_sort_instance_f32 * S, + float32_t *pSrc, + float32_t *pDst, + uint32_t blockSize); + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] dir Sorting order. + * @param[in] buffer Working buffer. + */ + void arm_merge_sort_init_f32( + arm_merge_sort_instance_f32 * S, + arm_sort_dir dir, + float32_t * buffer); + + /** + * @brief Struct for specifying cubic spline type + */ + typedef enum + { + ARM_SPLINE_NATURAL = 0, /**< Natural spline */ + ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */ + } arm_spline_type; + + /** + * @brief Instance structure for the floating-point cubic spline interpolation. + */ + typedef struct + { + arm_spline_type type; /**< Type (boundary conditions) */ + const float32_t * x; /**< x values */ + const float32_t * y; /**< y values */ + uint32_t n_x; /**< Number of known data points */ + float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */ + } arm_spline_instance_f32; + + /** + * @brief Processing function for the floating-point cubic spline interpolation. + * @param[in] S points to an instance of the floating-point spline structure. + * @param[in] xq points to the x values ot the interpolated data points. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples of output data. + */ + void arm_spline_f32( + arm_spline_instance_f32 * S, + const float32_t * xq, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point cubic spline interpolation. + * @param[in,out] S points to an instance of the floating-point spline structure. + * @param[in] type type of cubic spline interpolation (boundary conditions) + * @param[in] x points to the x values of the known data points. + * @param[in] y points to the y values of the known data points. + * @param[in] n number of known data points. + * @param[in] coeffs coefficients array for b, c, and d + * @param[in] tempBuffer buffer array for internal computations + */ + void arm_spline_init_f32( + arm_spline_instance_f32 * S, + arm_spline_type type, + const float32_t * x, + const float32_t * y, + uint32_t n, + float32_t * coeffs, + float32_t * tempBuffer); + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float32_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f32; + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float64_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f64; + + /** + * @brief Instance structure for the Q15 matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q15_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_q15; + + /** + * @brief Instance structure for the Q31 matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q31_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_q31; + + /** + * @brief Floating-point matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch); + + /** + * @brief Q31, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @param[in] pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @param[in] pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_fast_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q31 matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_fast_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix scaling. + * @param[in] pSrc points to the input matrix + * @param[in] scale scale factor + * @param[out] pDst points to the output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix scaling. + * @param[in] pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix scaling. + * @param[in] pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_q31( + arm_matrix_instance_q31 * S, + uint16_t nRows, + uint16_t nColumns, + q31_t * pData); + + /** + * @brief Q15 matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_q15( + arm_matrix_instance_q15 * S, + uint16_t nRows, + uint16_t nColumns, + q15_t * pData); + + /** + * @brief Floating-point matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_f32( + arm_matrix_instance_f32 * S, + uint16_t nRows, + uint16_t nColumns, + float32_t * pData); + + + /** + * @brief Instance structure for the Q15 PID Control. + */ + typedef struct + { + q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ +#if !defined (ARM_MATH_DSP) + q15_t A1; + q15_t A2; +#else + q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/ +#endif + q15_t state[3]; /**< The state array of length 3. */ + q15_t Kp; /**< The proportional gain. */ + q15_t Ki; /**< The integral gain. */ + q15_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q15; + + /** + * @brief Instance structure for the Q31 PID Control. + */ + typedef struct + { + q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + q31_t A2; /**< The derived gain, A2 = Kd . */ + q31_t state[3]; /**< The state array of length 3. */ + q31_t Kp; /**< The proportional gain. */ + q31_t Ki; /**< The integral gain. */ + q31_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q31; + + /** + * @brief Instance structure for the floating-point PID Control. + */ + typedef struct + { + float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + float32_t A2; /**< The derived gain, A2 = Kd . */ + float32_t state[3]; /**< The state array of length 3. */ + float32_t Kp; /**< The proportional gain. */ + float32_t Ki; /**< The integral gain. */ + float32_t Kd; /**< The derivative gain. */ + } arm_pid_instance_f32; + + + + /** + * @brief Initialization function for the floating-point PID Control. + * @param[in,out] S points to an instance of the PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_f32( + arm_pid_instance_f32 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + */ + void arm_pid_reset_f32( + arm_pid_instance_f32 * S); + + + /** + * @brief Initialization function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q31( + arm_pid_instance_q31 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q31 PID Control structure + */ + + void arm_pid_reset_q31( + arm_pid_instance_q31 * S); + + + /** + * @brief Initialization function for the Q15 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q15( + arm_pid_instance_q15 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q15 PID Control. + * @param[in,out] S points to an instance of the q15 PID Control structure + */ + void arm_pid_reset_q15( + arm_pid_instance_q15 * S); + + + /** + * @brief Instance structure for the floating-point Linear Interpolate function. + */ + typedef struct + { + uint32_t nValues; /**< nValues */ + float32_t x1; /**< x1 */ + float32_t xSpacing; /**< xSpacing */ + float32_t *pYData; /**< pointer to the table of Y values */ + } arm_linear_interp_instance_f32; + + /** + * @brief Instance structure for the floating-point bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + float32_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_f32; + + /** + * @brief Instance structure for the Q31 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q31_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q31; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q15_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q15; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q7_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q7; + + + /** + * @brief Q7 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q15( + arm_cfft_radix2_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q15( + const arm_cfft_radix2_instance_q15 * S, + q15_t * pSrc); + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q15_t *pTwiddle; /**< points to the twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q15( + arm_cfft_radix4_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc); + + /** + * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q31; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q31( + arm_cfft_radix2_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q31( + const arm_cfft_radix2_instance_q31 * S, + q31_t * pSrc); + + /** + * @brief Instance structure for the Q31 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q31_t *pTwiddle; /**< points to the twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q31; + +/* Deprecated */ + void arm_cfft_radix4_q31( + const arm_cfft_radix4_instance_q31 * S, + q31_t * pSrc); + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q31( + arm_cfft_radix4_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix2_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_f32( + arm_cfft_radix2_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_f32( + const arm_cfft_radix2_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix4_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_f32( + arm_cfft_radix4_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_f32( + const arm_cfft_radix4_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q15_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEI) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const q15_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_q15; + +arm_status arm_cfft_init_q15( + arm_cfft_instance_q15 * S, + uint16_t fftLen); + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEI) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const q31_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_q31; + +arm_status arm_cfft_init_q31( + arm_cfft_instance_q31 * S, + uint16_t fftLen); + +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const float32_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_f32; + + + arm_status arm_cfft_init_f32( + arm_cfft_instance_f32 * S, + uint16_t fftLen); + + void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + + /** + * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float64_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ + } arm_cfft_instance_f64; + + void arm_cfft_f64( + const arm_cfft_instance_f64 * S, + float64_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the Q15 RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ +#if defined(ARM_MATH_MVEI) + arm_cfft_instance_q15 cfftInst; +#else + const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */ +#endif + } arm_rfft_instance_q15; + + arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst); + + /** + * @brief Instance structure for the Q31 RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ +#if defined(ARM_MATH_MVEI) + arm_cfft_instance_q31 cfftInst; +#else + const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */ +#endif + } arm_rfft_instance_q31; + + arm_status arm_rfft_init_q31( + arm_rfft_instance_q31 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q31( + const arm_rfft_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst); + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint16_t fftLenBy2; /**< length of the complex FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_rfft_instance_f32; + + arm_status arm_rfft_init_f32( + arm_rfft_instance_f32 * S, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_f32( + const arm_rfft_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst); + + /** + * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function. + */ +typedef struct + { + arm_cfft_instance_f64 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + const float64_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f64 ; + +arm_status arm_rfft_fast_init_f64 ( + arm_rfft_fast_instance_f64 * S, + uint16_t fftLen); + + +void arm_rfft_fast_f64( + arm_rfft_fast_instance_f64 * S, + float64_t * p, float64_t * pOut, + uint8_t ifftFlag); + + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ +typedef struct + { + arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + const float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f32 ; + +arm_status arm_rfft_fast_init_f32 ( + arm_rfft_fast_instance_f32 * S, + uint16_t fftLen); + + + void arm_rfft_fast_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, float32_t * pOut, + uint8_t ifftFlag); + + /** + * @brief Instance structure for the floating-point DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + float32_t normalize; /**< normalizing factor. */ + const float32_t *pTwiddle; /**< points to the twiddle factor table. */ + const float32_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_f32; + + + /** + * @brief Initialization function for the floating-point DCT4/IDCT4. + * @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure. + * @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length. + */ + arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize); + + + /** + * @brief Processing function for the floating-point DCT4/IDCT4. + * @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_f32( + const arm_dct4_instance_f32 * S, + float32_t * pState, + float32_t * pInlineBuffer); + + + /** + * @brief Instance structure for the Q31 DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q31_t normalize; /**< normalizing factor. */ + const q31_t *pTwiddle; /**< points to the twiddle factor table. */ + const q31_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q31; + + + /** + * @brief Initialization function for the Q31 DCT4/IDCT4. + * @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure + * @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + arm_status arm_dct4_init_q31( + arm_dct4_instance_q31 * S, + arm_rfft_instance_q31 * S_RFFT, + arm_cfft_radix4_instance_q31 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q31_t normalize); + + + /** + * @brief Processing function for the Q31 DCT4/IDCT4. + * @param[in] S points to an instance of the Q31 DCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_q31( + const arm_dct4_instance_q31 * S, + q31_t * pState, + q31_t * pInlineBuffer); + + + /** + * @brief Instance structure for the Q15 DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q15_t normalize; /**< normalizing factor. */ + const q15_t *pTwiddle; /**< points to the twiddle factor table. */ + const q15_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q15; + + + /** + * @brief Initialization function for the Q15 DCT4/IDCT4. + * @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure. + * @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + arm_status arm_dct4_init_q15( + arm_dct4_instance_q15 * S, + arm_rfft_instance_q15 * S_RFFT, + arm_cfft_radix4_instance_q15 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q15_t normalize); + + + /** + * @brief Processing function for the Q15 DCT4/IDCT4. + * @param[in] S points to an instance of the Q15 DCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_q15( + const arm_dct4_instance_q15 * S, + q15_t * pState, + q15_t * pInlineBuffer); + + + /** + * @brief Floating-point vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a floating-point vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scale scale factor to be applied + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_f32( + const float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q7 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q7( + const q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q15 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q15( + const q15_t * pSrc, + q15_t scaleFract, + int8_t shift, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q31 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q31( + const q31_t * pSrc, + q31_t scaleFract, + int8_t shift, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Dot product of floating-point vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result); + + + /** + * @brief Dot product of Q7 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result); + + + /** + * @brief Dot product of Q15 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + + /** + * @brief Dot product of Q31 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + + /** + * @brief Shifts the elements of a Q7 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q7( + const q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Shifts the elements of a Q15 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q15( + const q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Shifts the elements of a Q31 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q31( + const q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a floating-point vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q7 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q15 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q31 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a floating-point vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q7 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q15 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q31 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a floating-point vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q7 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q15 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q31 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a floating-point vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q7 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q15 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q31 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize); + + +/** + * @brief Convolution of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + */ + void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + + /** + * @brief Convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + */ + void arm_conv_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + */ + void arm_conv_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + */ + void arm_conv_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Convolution of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + */ + void arm_conv_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Partial convolution of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q7 sequences + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Partial convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Instance structure for the Q15 FIR decimator. + */ + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR decimator. + */ + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q31; + +/** + @brief Instance structure for floating-point FIR decimator. + */ +typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_f32; + + +/** + @brief Processing function for floating-point FIR decimator. + @param[in] S points to an instance of the floating-point FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + */ +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + +/** + @brief Initialization function for the floating-point FIR decimator. + @param[in,out] S points to an instance of the floating-point FIR decimator structure + @param[in] numTaps number of coefficients in the filter + @param[in] M decimation factor + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M + */ +arm_status arm_fir_decimate_init_f32( + arm_fir_decimate_instance_f32 * S, + uint16_t numTaps, + uint8_t M, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR decimator. + * @param[in] S points to an instance of the Q15 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q15 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR decimator. + * @param[in,out] S points to an instance of the Q15 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + arm_status arm_fir_decimate_init_q15( + arm_fir_decimate_instance_q15 * S, + uint16_t numTaps, + uint8_t M, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 FIR decimator. + * @param[in] S points to an instance of the Q31 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q31 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_fast_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR decimator. + * @param[in,out] S points to an instance of the Q31 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + arm_status arm_fir_decimate_init_q31( + arm_fir_decimate_instance_q31 * S, + uint16_t numTaps, + uint8_t M, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */ + } arm_fir_interpolate_instance_f32; + + + /** + * @brief Processing function for the Q15 FIR interpolator. + * @param[in] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR interpolator. + * @param[in,out] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_q15( + arm_fir_interpolate_instance_q15 * S, + uint8_t L, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 FIR interpolator. + * @param[in] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR interpolator. + * @param[in,out] S points to an instance of the Q31 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_q31( + arm_fir_interpolate_instance_q31 * S, + uint8_t L, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point FIR interpolator. + * @param[in] S points to an instance of the floating-point FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point FIR interpolator. + * @param[in,out] S points to an instance of the floating-point FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_f32( + arm_fir_interpolate_instance_f32 * S, + uint8_t L, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the high precision Q31 Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + const q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */ + } arm_biquad_cas_df1_32x64_ins_q31; + + + /** + * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cas_df1_32x64_init_q31( + arm_biquad_cas_df1_32x64_ins_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q63_t * pState, + uint8_t postShift); + + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f32; + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_stereo_df2T_instance_f32; + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + const float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f64; + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_stereo_df2T_f32( + const arm_biquad_cascade_stereo_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df2T_f64( + const arm_biquad_cascade_df2T_instance_f64 * S, + const float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize); + + +#if defined(ARM_MATH_NEON) +void arm_biquad_cascade_df2T_compute_coefs_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs); +#endif + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_df2T_init_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_stereo_df2T_init_f32( + arm_biquad_cascade_stereo_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_df2T_init_f64( + arm_biquad_cascade_df2T_instance_f64 * S, + uint8_t numStages, + const float64_t * pCoeffs, + float64_t * pState); + + + /** + * @brief Instance structure for the Q15 FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_f32; + + + /** + * @brief Initialization function for the Q15 FIR lattice filter. + * @param[in] S points to an instance of the Q15 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_q15( + arm_fir_lattice_instance_q15 * S, + uint16_t numStages, + const q15_t * pCoeffs, + q15_t * pState); + + + /** + * @brief Processing function for the Q15 FIR lattice filter. + * @param[in] S points to an instance of the Q15 FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_q15( + const arm_fir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR lattice filter. + * @param[in] S points to an instance of the Q31 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_q31( + arm_fir_lattice_instance_q31 * S, + uint16_t numStages, + const q31_t * pCoeffs, + q31_t * pState); + + + /** + * @brief Processing function for the Q31 FIR lattice filter. + * @param[in] S points to an instance of the Q31 FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the floating-point FIR lattice filter. + * @param[in] S points to an instance of the floating-point FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_f32( + arm_fir_lattice_instance_f32 * S, + uint16_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Processing function for the floating-point FIR lattice filter. + * @param[in] S points to an instance of the floating-point FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_f32( + const arm_fir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_f32; + + + /** + * @brief Processing function for the floating-point IIR lattice filter. + * @param[in] S points to an instance of the floating-point IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point IIR lattice filter. + * @param[in] S points to an instance of the floating-point IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_init_f32( + arm_iir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pkCoeffs, + float32_t * pvCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 IIR lattice filter. + * @param[in] S points to an instance of the Q31 IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_q31( + const arm_iir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 IIR lattice filter. + * @param[in] S points to an instance of the Q31 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to the state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_init_q31( + arm_iir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pkCoeffs, + q31_t * pvCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 IIR lattice filter. + * @param[in] S points to an instance of the Q15 IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_q15( + const arm_iir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the Q15 IIR lattice filter. + * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process per call. + */ + void arm_iir_lattice_init_q15( + arm_iir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pkCoeffs, + q15_t * pvCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the floating-point LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that controls filter coefficient updates. */ + } arm_lms_instance_f32; + + + /** + * @brief Processing function for floating-point LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_f32( + const arm_lms_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for floating-point LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to the coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_init_f32( + arm_lms_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q15; + + + /** + * @brief Initialization function for the Q15 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to the coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_init_q15( + arm_lms_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint32_t postShift); + + + /** + * @brief Processing function for Q15 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_q15( + const arm_lms_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q31; + + + /** + * @brief Processing function for Q31 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_q31( + const arm_lms_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q31 LMS filter. + * @param[in] S points to an instance of the Q31 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_init_q31( + arm_lms_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint32_t postShift); + + + /** + * @brief Instance structure for the floating-point normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that control filter coefficient updates. */ + float32_t energy; /**< saves previous frame energy. */ + float32_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_f32; + + + /** + * @brief Processing function for floating-point normalized LMS filter. + * @param[in] S points to an instance of the floating-point normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for floating-point normalized LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_init_f32( + arm_lms_norm_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + const q31_t *recipTable; /**< points to the reciprocal initial value table. */ + q31_t energy; /**< saves previous frame energy. */ + q31_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q31; + + + /** + * @brief Processing function for Q31 normalized LMS filter. + * @param[in] S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_q31( + arm_lms_norm_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q31 normalized LMS filter. + * @param[in] S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_norm_init_q31( + arm_lms_norm_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint8_t postShift); + + + /** + * @brief Instance structure for the Q15 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< Number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + const q15_t *recipTable; /**< Points to the reciprocal initial value table. */ + q15_t energy; /**< saves previous frame energy. */ + q15_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q15; + + + /** + * @brief Processing function for Q15 normalized LMS filter. + * @param[in] S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_q15( + arm_lms_norm_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q15 normalized LMS filter. + * @param[in] S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_norm_init_q15( + arm_lms_norm_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint8_t postShift); + + + /** + * @brief Correlation of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + +/** + @brief Correlation of Q15 sequences + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. +*/ +void arm_correlate_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + +/** + @brief Correlation of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + */ +void arm_correlate_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence. + @param[in] srcALen length of the first input sequence. + @param[in] pSrcB points to the second input sequence. + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + */ +void arm_correlate_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + + /** + * @brief Correlation of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + +/** + @brief Correlation of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ +void arm_correlate_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + */ + void arm_correlate_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Instance structure for the floating-point sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_f32; + + /** + * @brief Instance structure for the Q31 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q31; + + /** + * @brief Instance structure for the Q15 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q15; + + /** + * @brief Instance structure for the Q7 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q7; + + + /** + * @brief Processing function for the floating-point sparse FIR filter. + * @param[in] S points to an instance of the floating-point sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_f32( + arm_fir_sparse_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + float32_t * pScratchIn, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point sparse FIR filter. + * @param[in,out] S points to an instance of the floating-point sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_f32( + arm_fir_sparse_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 sparse FIR filter. + * @param[in] S points to an instance of the Q31 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q31( + arm_fir_sparse_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + q31_t * pScratchIn, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 sparse FIR filter. + * @param[in,out] S points to an instance of the Q31 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q31( + arm_fir_sparse_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 sparse FIR filter. + * @param[in] S points to an instance of the Q15 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q15( + arm_fir_sparse_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + q15_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 sparse FIR filter. + * @param[in,out] S points to an instance of the Q15 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q15( + arm_fir_sparse_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q7 sparse FIR filter. + * @param[in] S points to an instance of the Q7 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q7( + arm_fir_sparse_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + q7_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q7 sparse FIR filter. + * @param[in,out] S points to an instance of the Q7 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q7( + arm_fir_sparse_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Floating-point sin_cos function. + * @param[in] theta input value in degrees + * @param[out] pSinVal points to the processed sine output. + * @param[out] pCosVal points to the processed cos output. + */ + void arm_sin_cos_f32( + float32_t theta, + float32_t * pSinVal, + float32_t * pCosVal); + + + /** + * @brief Q31 sin_cos function. + * @param[in] theta scaled input value in degrees + * @param[out] pSinVal points to the processed sine output. + * @param[out] pCosVal points to the processed cosine output. + */ + void arm_sin_cos_q31( + q31_t theta, + q31_t * pSinVal, + q31_t * pCosVal); + + + /** + * @brief Floating-point complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @ingroup groupController + */ + + /** + * @defgroup PID PID Motor Control + * + * A Proportional Integral Derivative (PID) controller is a generic feedback control + * loop mechanism widely used in industrial control systems. + * A PID controller is the most commonly used type of feedback controller. + * + * This set of functions implements (PID) controllers + * for Q15, Q31, and floating-point data types. The functions operate on a single sample + * of data and each call to the function returns a single processed value. + * S points to an instance of the PID control data structure. in + * is the input sample value. The functions return the output value. + * + * \par Algorithm: + * 
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd
+   *
+ * + * \par + * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant + * + * \par + * \image html PID.gif "Proportional Integral Derivative Controller" + * + * \par + * The PID controller calculates an "error" value as the difference between + * the measured output and the reference input. + * The controller attempts to minimize the error by adjusting the process control inputs. + * The proportional value determines the reaction to the current error, + * the integral value determines the reaction based on the sum of recent errors, + * and the derivative value determines the reaction based on the rate at which the error has been changing. + * + * \par Instance Structure + * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. + * A separate instance structure must be defined for each PID Controller. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Reset Functions + * There is also an associated reset function for each data type which clears the state array. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. + * - Zeros out the values in the state buffer. + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the PID Controller functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup PID + * @{ + */ + + /** + * @brief Process function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + * @param[in] in input sample to process + * @return processed output sample. + */ + __STATIC_FORCEINLINE float32_t arm_pid_f32( + arm_pid_instance_f32 * S, + float32_t in) + { + float32_t out; + + /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ + out = (S->A0 * in) + + (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + +/** + @brief Process function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ +__STATIC_FORCEINLINE q31_t arm_pid_q31( + arm_pid_instance_q31 * S, + q31_t in) + { + q63_t acc; + q31_t out; + + /* acc = A0 * x[n] */ + acc = (q63_t) S->A0 * in; + + /* acc += A1 * x[n-1] */ + acc += (q63_t) S->A1 * S->state[0]; + + /* acc += A2 * x[n-2] */ + acc += (q63_t) S->A2 * S->state[1]; + + /* convert output to 1.31 format to add y[n-1] */ + out = (q31_t) (acc >> 31U); + + /* out += y[n-1] */ + out += S->state[2]; + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + +/** + @brief Process function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ +__STATIC_FORCEINLINE q15_t arm_pid_q15( + arm_pid_instance_q15 * S, + q15_t in) + { + q63_t acc; + q15_t out; + +#if defined (ARM_MATH_DSP) + /* Implementation of PID controller */ + + /* acc = A0 * x[n] */ + acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in); + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc); +#else + /* acc = A0 * x[n] */ + acc = ((q31_t) S->A0) * in; + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc += (q31_t) S->A1 * S->state[0]; + acc += (q31_t) S->A2 * S->state[1]; +#endif + + /* acc += y[n-1] */ + acc += (q31_t) S->state[2] << 15; + + /* saturate the output */ + out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16)); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + /** + * @} end of PID group + */ + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * src, + arm_matrix_instance_f32 * dst); + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * src, + arm_matrix_instance_f64 * dst); + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup clarke Vector Clarke Transform + * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. + * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents + * in the two-phase orthogonal stator axis Ialpha and Ibeta. + * When Ialpha is superposed with Ia as shown in the figure below + * \image html clarke.gif Stator current space vector and its components in (a,b). + * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta + * can be calculated using only Ia and Ib. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeFormula.gif + * where Ia and Ib are the instantaneous stator phases and + * pIalpha and pIbeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup clarke + * @{ + */ + + /** + * + * @brief Floating-point Clarke transform + * @param[in] Ia input three-phase coordinate a + * @param[in] Ib input three-phase coordinate b + * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] pIbeta points to output two-phase orthogonal vector axis beta + * @return none + */ + __STATIC_FORCEINLINE void arm_clarke_f32( + float32_t Ia, + float32_t Ib, + float32_t * pIalpha, + float32_t * pIbeta) + { + /* Calculate pIalpha using the equation, pIalpha = Ia */ + *pIalpha = Ia; + + /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */ + *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib); + } + + +/** + @brief Clarke transform for Q31 version + @param[in] Ia input three-phase coordinate a + @param[in] Ib input three-phase coordinate b + @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + @param[out] pIbeta points to output two-phase orthogonal vector axis beta + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_clarke_q31( + q31_t Ia, + q31_t Ib, + q31_t * pIalpha, + q31_t * pIbeta) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIalpha from Ia by equation pIalpha = Ia */ + *pIalpha = Ia; + + /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30); + + /* Intermediate product is calculated by (2/sqrt(3) * Ib) */ + product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30); + + /* pIbeta is calculated by adding the intermediate products */ + *pIbeta = __QADD(product1, product2); + } + + /** + * @} end of clarke group + */ + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_clarke Vector Inverse Clarke Transform + * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeInvFormula.gif + * where pIa and pIb are the instantaneous stator phases and + * Ialpha and Ibeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_clarke + * @{ + */ + + /** + * @brief Floating-point Inverse Clarke transform + * @param[in] Ialpha input two-phase orthogonal vector axis alpha + * @param[in] Ibeta input two-phase orthogonal vector axis beta + * @param[out] pIa points to output three-phase coordinate a + * @param[out] pIb points to output three-phase coordinate b + * @return none + */ + __STATIC_FORCEINLINE void arm_inv_clarke_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pIa, + float32_t * pIb) + { + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */ + *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta; + } + + +/** + @brief Inverse Clarke transform for Q31 version + @param[in] Ialpha input two-phase orthogonal vector axis alpha + @param[in] Ibeta input two-phase orthogonal vector axis beta + @param[out] pIa points to output three-phase coordinate a + @param[out] pIb points to output three-phase coordinate b + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the subtraction, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_inv_clarke_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pIa, + q31_t * pIb) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31); + + /* Intermediate product is calculated by (1/sqrt(3) * pIb) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31); + + /* pIb is calculated by subtracting the products */ + *pIb = __QSUB(product2, product1); + } + + /** + * @} end of inv_clarke group + */ + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup park Vector Park Transform + * + * Forward Park transform converts the input two-coordinate vector to flux and torque components. + * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents + * from the stationary to the moving reference frame and control the spatial relationship between + * the stator vector current and rotor flux vector. + * If we consider the d axis aligned with the rotor flux, the diagram below shows the + * current vector and the relationship from the two reference frames: + * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame" + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkFormula.gif + * where Ialpha and Ibeta are the stator vector components, + * pId and pIq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup park + * @{ + */ + + /** + * @brief Floating-point Park transform + * @param[in] Ialpha input two-phase vector coordinate alpha + * @param[in] Ibeta input two-phase vector coordinate beta + * @param[out] pId points to output rotor reference frame d + * @param[out] pIq points to output rotor reference frame q + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none + * + * The function implements the forward Park transform. + * + */ + __STATIC_FORCEINLINE void arm_park_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pId, + float32_t * pIq, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */ + *pId = Ialpha * cosVal + Ibeta * sinVal; + + /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */ + *pIq = -Ialpha * sinVal + Ibeta * cosVal; + } + + +/** + @brief Park transform for Q31 version + @param[in] Ialpha input two-phase vector coordinate alpha + @param[in] Ibeta input two-phase vector coordinate beta + @param[out] pId points to output rotor reference frame d + @param[out] pIq points to output rotor reference frame q + @param[in] sinVal sine value of rotation angle theta + @param[in] cosVal cosine value of rotation angle theta + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition and subtraction, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_park_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pId, + q31_t * pIq, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Ialpha * cosVal) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * sinVal) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Ialpha * sinVal) */ + product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * cosVal) */ + product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31); + + /* Calculate pId by adding the two intermediate products 1 and 2 */ + *pId = __QADD(product1, product2); + + /* Calculate pIq by subtracting the two intermediate products 3 from 4 */ + *pIq = __QSUB(product4, product3); + } + + /** + * @} end of park group + */ + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_park Vector Inverse Park transform + * Inverse Park transform converts the input flux and torque components to two-coordinate vector. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkInvFormula.gif + * where pIalpha and pIbeta are the stator vector components, + * Id and Iq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_park + * @{ + */ + + /** + * @brief Floating-point Inverse Park transform + * @param[in] Id input coordinate of rotor reference frame d + * @param[in] Iq input coordinate of rotor reference frame q + * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] pIbeta points to output two-phase orthogonal vector axis beta + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none + */ + __STATIC_FORCEINLINE void arm_inv_park_f32( + float32_t Id, + float32_t Iq, + float32_t * pIalpha, + float32_t * pIbeta, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */ + *pIalpha = Id * cosVal - Iq * sinVal; + + /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */ + *pIbeta = Id * sinVal + Iq * cosVal; + } + + +/** + @brief Inverse Park transform for Q31 version + @param[in] Id input coordinate of rotor reference frame d + @param[in] Iq input coordinate of rotor reference frame q + @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + @param[out] pIbeta points to output two-phase orthogonal vector axis beta + @param[in] sinVal sine value of rotation angle theta + @param[in] cosVal cosine value of rotation angle theta + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_inv_park_q31( + q31_t Id, + q31_t Iq, + q31_t * pIalpha, + q31_t * pIbeta, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Id * cosVal) */ + product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Iq * sinVal) */ + product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Id * sinVal) */ + product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Iq * cosVal) */ + product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31); + + /* Calculate pIalpha by using the two intermediate products 1 and 2 */ + *pIalpha = __QSUB(product1, product2); + + /* Calculate pIbeta by using the two intermediate products 3 and 4 */ + *pIbeta = __QADD(product4, product3); + } + + /** + * @} end of Inverse park group + */ + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup LinearInterpolate Linear Interpolation + * + * Linear interpolation is a method of curve fitting using linear polynomials. + * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line + * + * \par + * \image html LinearInterp.gif "Linear interpolation" + * + * \par + * A Linear Interpolate function calculates an output value(y), for the input(x) + * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values) + * + * \par Algorithm: + * 
+   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+   *       where x0, x1 are nearest values of input x
+   *             y0, y1 are nearest values to output y
+   *
+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + * S points to an instance of the Linear Interpolate function data structure. + * x is the input sample value. The functions returns the output value. + * + * \par + * if x is outside of the table boundary, Linear interpolation returns first value of the table + * if x is below input range and returns last value of table if x is above range. + */ + + /** + * @addtogroup LinearInterpolate + * @{ + */ + + /** + * @brief Process function for the floating-point Linear Interpolation Function. + * @param[in,out] S is an instance of the floating-point Linear Interpolation structure + * @param[in] x input sample to process + * @return y processed output sample. + * + */ + __STATIC_FORCEINLINE float32_t arm_linear_interp_f32( + arm_linear_interp_instance_f32 * S, + float32_t x) + { + float32_t y; + float32_t x0, x1; /* Nearest input values */ + float32_t y0, y1; /* Nearest output values */ + float32_t xSpacing = S->xSpacing; /* spacing between input values */ + int32_t i; /* Index variable */ + float32_t *pYData = S->pYData; /* pointer to output table */ + + /* Calculation of index */ + i = (int32_t) ((x - S->x1) / xSpacing); + + if (i < 0) + { + /* Iniatilize output for below specified range as least output value of table */ + y = pYData[0]; + } + else if ((uint32_t)i >= (S->nValues - 1)) + { + /* Iniatilize output for above specified range as last output value of table */ + y = pYData[S->nValues - 1]; + } + else + { + /* Calculation of nearest input values */ + x0 = S->x1 + i * xSpacing; + x1 = S->x1 + (i + 1) * xSpacing; + + /* Read of nearest output values */ + y0 = pYData[i]; + y1 = pYData[i + 1]; + + /* Calculation of output */ + y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0)); + + } + + /* returns output value */ + return (y); + } + + + /** + * + * @brief Process function for the Q31 Linear Interpolation Function. + * @param[in] pYData pointer to Q31 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + __STATIC_FORCEINLINE q31_t arm_linear_interp_q31( + q31_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q31_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & (q31_t)0xFFF00000) >> 20); + + if (index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if (index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* shift left by 11 to keep fract in 1.31 format */ + fract = (x & 0x000FFFFF) << 11; + + /* Read two nearest output values from the index in 1.31(q31) format */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract) and y is in 2.30 format */ + y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32)); + + /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */ + y += ((q31_t) (((q63_t) y1 * fract) >> 32)); + + /* Convert y to 1.31 format */ + return (y << 1U); + } + } + + + /** + * + * @brief Process function for the Q15 Linear Interpolation Function. + * @param[in] pYData pointer to Q15 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + __STATIC_FORCEINLINE q15_t arm_linear_interp_q15( + q15_t * pYData, + q31_t x, + uint32_t nValues) + { + q63_t y; /* output */ + q15_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & (int32_t)0xFFF00000) >> 20); + + if (index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if (index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract) and y is in 13.35 format */ + y = ((q63_t) y0 * (0xFFFFF - fract)); + + /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */ + y += ((q63_t) y1 * (fract)); + + /* convert y to 1.15 format */ + return (q15_t) (y >> 20); + } + } + + + /** + * + * @brief Process function for the Q7 Linear Interpolation Function. + * @param[in] pYData pointer to Q7 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + */ + __STATIC_FORCEINLINE q7_t arm_linear_interp_q7( + q7_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q7_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + uint32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + if (x < 0) + { + return (pYData[0]); + } + index = (x >> 20) & 0xfff; + + if (index >= (nValues - 1)) + { + return (pYData[nValues - 1]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index and are in 1.7(q7) format */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */ + y = ((y0 * (0xFFFFF - fract))); + + /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */ + y += (y1 * fract); + + /* convert y to 1.7(q7) format */ + return (q7_t) (y >> 20); + } + } + + /** + * @} end of LinearInterpolate group + */ + + /** + * @brief Fast approximation to the trigonometric sine function for floating-point data. + * @param[in] x input value in radians. + * @return sin(x). + */ + float32_t arm_sin_f32( + float32_t x); + + + /** + * @brief Fast approximation to the trigonometric sine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + q31_t arm_sin_q31( + q31_t x); + + + /** + * @brief Fast approximation to the trigonometric sine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + q15_t arm_sin_q15( + q15_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for floating-point data. + * @param[in] x input value in radians. + * @return cos(x). + */ + float32_t arm_cos_f32( + float32_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + q31_t arm_cos_q31( + q31_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + q15_t arm_cos_q15( + q15_t x); + + +/** + @brief Floating-point vector of log values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vlog_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + +/** + @brief Floating-point vector of exp values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vexp_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @ingroup groupFastMath + */ + + + /** + * @defgroup SQRT Square Root + * + * Computes the square root of a number. + * There are separate functions for Q15, Q31, and floating-point data types. + * The square root function is computed using the Newton-Raphson algorithm. + * This is an iterative algorithm of the form: + * 
+   *      x1 = x0 - f(x0)/f'(x0)
+   *
+ * where x1 is the current estimate, + * x0 is the previous estimate, and + * f'(x0) is the derivative of f() evaluated at x0. + * For the square root function, the algorithm reduces to: + * 
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   *
+ */ + + + /** + * @addtogroup SQRT + * @{ + */ + +/** + @brief Floating-point square root function. + @param[in] in input value + @param[out] pOut square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +__STATIC_FORCEINLINE arm_status arm_sqrt_f32( + float32_t in, + float32_t * pOut) + { + if (in >= 0.0f) + { +#if defined ( __CC_ARM ) + #if defined __TARGET_FPU_VFP + *pOut = __sqrtf(in); + #else + *pOut = sqrtf(in); + #endif + +#elif defined ( __ICCARM__ ) + #if defined __ARMVFP__ + __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); + #else + *pOut = sqrtf(in); + #endif + +#else + *pOut = sqrtf(in); +#endif + + return (ARM_MATH_SUCCESS); + } + else + { + *pOut = 0.0f; + return (ARM_MATH_ARGUMENT_ERROR); + } + } + + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut); + + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut); + + /** + * @brief Vector Floating-point square root function. + * @param[in] pIn input vector. + * @param[out] pOut vector of square roots of input elements. + * @param[in] len length of input vector. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + * in is negative value and returns zero output for negative values. + */ + void arm_vsqrt_f32( + float32_t * pIn, + float32_t * pOut, + uint16_t len); + + void arm_vsqrt_q31( + q31_t * pIn, + q31_t * pOut, + uint16_t len); + + void arm_vsqrt_q15( + q15_t * pIn, + q15_t * pOut, + uint16_t len); + + /** + * @} end of SQRT group + */ + + + /** + * @brief floating-point Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_f32( + int32_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const int32_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + + /** + * @brief floating-point Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_f32( + int32_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + int32_t * dst, + int32_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t rOffset; + int32_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q15 Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_q15( + q15_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q15_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + /** + * @brief Q15 Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_q15( + q15_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q15_t * dst, + q15_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset; + q15_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update wOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q7 Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_q7( + q7_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q7_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + /** + * @brief Q7 Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_q7( + q7_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q7_t * dst, + q7_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset; + q7_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Sum of the squares of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Mean value of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult); + + + /** + * @brief Mean value of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Mean value of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Mean value of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Variance of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Variance of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Variance of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Standard deviation of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Standard deviation of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Standard deviation of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Floating-point complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t numSamples, + q31_t * realResult, + q31_t * imagResult); + + + /** + * @brief Q31 complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t numSamples, + q63_t * realResult, + q63_t * imagResult); + + + /** + * @brief Floating-point complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t numSamples, + float32_t * realResult, + float32_t * imagResult); + + + /** + * @brief Q15 complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_q15( + const q15_t * pSrcCmplx, + const q15_t * pSrcReal, + q15_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_q31( + const q31_t * pSrcCmplx, + const q31_t * pSrcReal, + q31_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_f32( + const float32_t * pSrcCmplx, + const float32_t * pSrcReal, + float32_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Minimum value of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] result is output pointer + * @param[in] index is the array index of the minimum value in the input buffer. + */ + void arm_min_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * result, + uint32_t * index); + + + /** + * @brief Minimum value of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[in] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + + /** + * @brief Minimum value of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[out] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + + /** + * @brief Minimum value of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[out] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q7 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q15 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q31 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a floating-point vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + /** + @brief Maximum value of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @return none + */ + void arm_max_no_idx_f32( + const float32_t *pSrc, + uint32_t blockSize, + float32_t *pResult); + + /** + * @brief Q15 complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Converts the elements of the floating-point vector to Q31 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the floating-point vector to Q15 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q15 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q7 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q31 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q7 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to Q31 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to Q15 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + +/** + * @brief Struct for specifying SVM Kernel + */ +typedef enum +{ + ARM_ML_KERNEL_LINEAR = 0, + /**< Linear kernel */ + ARM_ML_KERNEL_POLYNOMIAL = 1, + /**< Polynomial kernel */ + ARM_ML_KERNEL_RBF = 2, + /**< Radial Basis Function kernel */ + ARM_ML_KERNEL_SIGMOID = 3 + /**< Sigmoid kernel */ +} arm_ml_kernel_type; + + +/** + * @brief Instance structure for linear SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ +} arm_svm_linear_instance_f32; + + +/** + * @brief Instance structure for polynomial SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + int32_t degree; /**< Polynomial degree */ + float32_t coef0; /**< Polynomial constant */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_polynomial_instance_f32; + +/** + * @brief Instance structure for rbf SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_rbf_instance_f32; + +/** + * @brief Instance structure for sigmoid SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + float32_t coef0; /**< Independant constant */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_sigmoid_instance_f32; + +/** + * @brief SVM linear instance init function + * @param[in] S Parameters for SVM functions + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @return none. + * + */ + + +void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes); + +/** + * @brief SVM linear prediction + * @param[in] S Pointer to an instance of the linear SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ + +void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + +/** + * @brief SVM polynomial instance init function + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] degree Polynomial degree + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + + +void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + int32_t degree, + float32_t coef0, + float32_t gamma + ); + +/** + * @brief SVM polynomial prediction + * @param[in] S Pointer to an instance of the polynomial SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + +/** + * @brief SVM radial basis function instance init function + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t gamma + ); + +/** + * @brief SVM rbf prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult decision value + * @return none. + * + */ +void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + +/** + * @brief SVM sigmoid instance init function + * @param[in] S points to an instance of the rbf SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t coef0, + float32_t gamma + ); + +/** + * @brief SVM sigmoid prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + + +/** + * @brief Instance structure for Naive Gaussian Bayesian estimator. + */ +typedef struct +{ + uint32_t vectorDimension; /**< Dimension of vector space */ + uint32_t numberOfClasses; /**< Number of different classes */ + const float32_t *theta; /**< Mean values for the Gaussians */ + const float32_t *sigma; /**< Variances for the Gaussians */ + const float32_t *classPriors; /**< Class prior probabilities */ + float32_t epsilon; /**< Additive value to variances */ +} arm_gaussian_naive_bayes_instance_f32; + +/** + * @brief Naive Gaussian Bayesian Estimator + * + * @param[in] S points to a naive bayes instance structure + * @param[in] in points to the elements of the input vector. + * @param[in] pBuffer points to a buffer of length numberOfClasses + * @return The predicted class + * + */ + + +uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, + const float32_t * in, + float32_t *pBuffer); + +/** + * @brief Computation of the LogSumExp + * + * In probabilistic computations, the dynamic of the probability values can be very + * wide because they come from gaussian functions. + * To avoid underflow and overflow issues, the values are represented by their log. + * In this representation, multiplying the original exp values is easy : their logs are added. + * But adding the original exp values is requiring some special handling and it is the + * goal of the LogSumExp function. + * + * If the values are x1...xn, the function is computing: + * + * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that + * rounding issues are minimised. + * + * The max xm of the values is extracted and the function is computing: + * xm + ln(exp(x1 - xm) + ... + exp(xn - xm)) + * + * @param[in] *in Pointer to an array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return LogSumExp + * + */ + + +float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize); + +/** + * @brief Dot product with log arithmetic + * + * Vectors are containing the log of the samples + * + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[in] pTmpBuffer temporary buffer of length blockSize + * @return The log of the dot product . + * + */ + + +float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t *pTmpBuffer); + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + + +float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize); + + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + + +float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize); + + +/** + * @brief Kullback-Leibler + * + * @param[in] pSrcA Pointer to an array of input values for probability distribution A. + * @param[in] pSrcB Pointer to an array of input values for probability distribution B. + * @param[in] blockSize Number of samples in the input array. + * @return Kullback-Leibler Divergence D(A || B) + * + */ +float32_t arm_kullback_leibler_f32(const float32_t * pSrcA + ,const float32_t * pSrcB + ,uint32_t blockSize); + + +/** + * @brief Kullback-Leibler + * + * @param[in] pSrcA Pointer to an array of input values for probability distribution A. + * @param[in] pSrcB Pointer to an array of input values for probability distribution B. + * @param[in] blockSize Number of samples in the input array. + * @return Kullback-Leibler Divergence D(A || B) + * + */ +float64_t arm_kullback_leibler_f64(const float64_t * pSrcA, + const float64_t * pSrcB, + uint32_t blockSize); + + +/** + * @brief Weighted sum + * + * + * @param[in] *in Array of input values. + * @param[in] *weigths Weights + * @param[in] blockSize Number of samples in the input array. + * @return Weighted sum + * + */ +float32_t arm_weighted_sum_f32(const float32_t *in + , const float32_t *weigths + , uint32_t blockSize); + + +/** + * @brief Barycenter + * + * + * @param[in] in List of vectors + * @param[in] weights Weights of the vectors + * @param[out] out Barycenter + * @param[in] nbVectors Number of vectors + * @param[in] vecDim Dimension of space (vector dimension) + * @return None + * + */ +void arm_barycenter_f32(const float32_t *in + , const float32_t *weights + , float32_t *out + , uint32_t nbVectors + , uint32_t vecDim); + +/** + * @brief Euclidean distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Bray-Curtis distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Canberra distance between two vectors + * + * This function may divide by zero when samples pA[i] and pB[i] are both zero. + * The result of the computation will be correct. So the division per zero may be + * ignored. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + + +/** + * @brief Chebyshev distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + + +/** + * @brief Cityblock (Manhattan) distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Correlation distance between two vectors + * + * The input vectors are modified in place ! + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize); + +/** + * @brief Cosine distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Jensen-Shannon distance between two vectors + * + * This function is assuming that elements of second vector are > 0 + * and 0 only when the corresponding element of first vector is 0. + * Otherwise the result of the computation does not make sense + * and for speed reasons, the cases returning NaN or Infinity are not + * managed. + * + * When the function is computing x log (x / y) with x 0 and y 0, + * it will compute the right value (0) but a division per zero will occur + * and shoudl be ignored in client code. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize); + +/** + * @brief Minkowski distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] n Norm order (>= 2) + * @param[in] blockSize vector length + * @return distance + * + */ + + + +float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize); + +/** + * @brief Dice distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] order Distance order + * @param[in] blockSize Number of samples + * @return distance + * + */ + + +float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Hamming distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Jaccard distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Kulsinski distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Roger Stanimoto distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Russell-Rao distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Sokal-Michener distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Sokal-Sneath distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Yule distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup BilinearInterpolate Bilinear Interpolation + * + * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. + * The underlying function f(x, y) is sampled on a regular grid and the interpolation process + * determines values between the grid points. + * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension. + * Bilinear interpolation is often used in image processing to rescale images. + * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types. + * + * Algorithm + * \par + * The instance structure used by the bilinear interpolation functions describes a two dimensional data table. + * For floating-point, the instance structure is defined as: + * 
+   *   typedef struct
+   *   {
+   *     uint16_t numRows;
+   *     uint16_t numCols;
+   *     float32_t *pData;
+   * } arm_bilinear_interp_instance_f32;
+   *
+ * + * \par + * where numRows specifies the number of rows in the table; + * numCols specifies the number of columns in the table; + * and pData points to an array of size numRows*numCols values. + * The data table pTable is organized in row order and the supplied data values fall on integer indexes. + * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers. + * + * \par + * Let (x, y) specify the desired interpolation point. Then define: + * 
+   *     XF = floor(x)
+   *     YF = floor(y)
+   *
+ * \par + * The interpolated output point is computed as: + * 
+   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
+   *
+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * @brief Floating-point bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE float32_t arm_bilinear_interp_f32( + const arm_bilinear_interp_instance_f32 * S, + float32_t X, + float32_t Y) + { + float32_t out; + float32_t f00, f01, f10, f11; + float32_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float32_t xdiff, ydiff; + float32_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (xIndex < 0 || xIndex > (S->numCols - 2) || yIndex < 0 || yIndex > (S->numRows - 2)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex ) + (yIndex ) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex ) + (yIndex+1) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = f01 - f00; + b3 = f10 - f00; + b4 = f00 - f01 - f10 + f11; + + /* Calculation of fractional part in X */ + xdiff = X - xIndex; + + /* Calculation of fractional part in Y */ + ydiff = Y - yIndex; + + /* Calculation of bi-linear interpolated output */ + out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff; + + /* return to application */ + return (out); + } + + + /** + * @brief Q31 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q31_t arm_bilinear_interp_q31( + arm_bilinear_interp_instance_q31 * S, + q31_t X, + q31_t Y) + { + q31_t out; /* Temporary output */ + q31_t acc = 0; /* output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q31_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q31_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* shift left xfract by 11 to keep 1.31 format */ + xfract = (X & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + (int32_t)nCols * (cI) ]; + x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1]; + + /* 20 bits for the fractional part */ + /* shift left yfract by 11 to keep 1.31 format */ + yfract = (Y & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + (int32_t)nCols * (cI + 1) ]; + y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */ + out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32)); + acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32)); + + /* x2 * (xfract) * (1-yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (xfract) >> 32)); + + /* y1 * (1 - xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* y2 * (xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y2 * (xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* Convert acc to 1.31(q31) format */ + return ((q31_t)(acc << 2)); + } + + + /** + * @brief Q15 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q15_t arm_bilinear_interp_q15( + arm_bilinear_interp_instance_q15 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q15_t x1, x2, y1, y2; /* Nearest output values */ + q31_t xfract, yfract; /* X, Y fractional parts */ + int32_t rI, cI; /* Row and column indices */ + q15_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */ + + /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */ + /* convert 13.35 to 13.31 by right shifting and out is in 1.31 */ + out = (q31_t) (((q63_t) x1 * (0x0FFFFF - xfract)) >> 4U); + acc = ((q63_t) out * (0x0FFFFF - yfract)); + + /* x2 * (xfract) * (1-yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) x2 * (0x0FFFFF - yfract)) >> 4U); + acc += ((q63_t) out * (xfract)); + + /* y1 * (1 - xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y1 * (0x0FFFFF - xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* y2 * (xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* acc is in 13.51 format and down shift acc by 36 times */ + /* Convert out to 1.15 format */ + return ((q15_t)(acc >> 36)); + } + + + /** + * @brief Q7 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q7_t arm_bilinear_interp_q7( + arm_bilinear_interp_instance_q7 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q7_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q7_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */ + out = ((x1 * (0xFFFFF - xfract))); + acc = (((q63_t) out * (0xFFFFF - yfract))); + + /* x2 * (xfract) * (1-yfract) in 2.22 and adding to acc */ + out = ((x2 * (0xFFFFF - yfract))); + acc += (((q63_t) out * (xfract))); + + /* y1 * (1 - xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y1 * (0xFFFFF - xfract))); + acc += (((q63_t) out * (yfract))); + + /* y2 * (xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y2 * (yfract))); + acc += (((q63_t) out * (xfract))); + + /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */ + return ((q7_t)(acc >> 40)); + } + + /** + * @} end of BilinearInterpolate group + */ + + +/* SMMLAR */ +#define multAcc_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMLSR */ +#define multSub_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMULR */ +#define mult_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32) + +/* SMMLA */ +#define multAcc_32x32_keep32(a, x, y) \ + a += (q31_t) (((q63_t) x * y) >> 32) + +/* SMMLS */ +#define multSub_32x32_keep32(a, x, y) \ + a -= (q31_t) (((q63_t) x * y) >> 32) + +/* SMMUL */ +#define mult_32x32_keep32(a, x, y) \ + a = (q31_t) (((q63_t) x * y ) >> 32) + + +#if defined ( __CC_ARM ) + /* Enter low optimization region - place directly above function definition */ + #if defined( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("push") \ + _Pragma ("O1") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_EXIT \ + _Pragma ("pop") + #else + #define LOW_OPTIMIZATION_EXIT + #endif + + /* Enter low optimization region - place directly above function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __GNUC__ ) + #define LOW_OPTIMIZATION_ENTER \ + __attribute__(( optimize("-O1") )) + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __ICCARM__ ) + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define LOW_OPTIMIZATION_EXIT + + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TI_ARM__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __CSMC__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TASKING__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT +#endif + + + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) +#pragma GCC diagnostic pop + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_MATH_H */ + +/** + * + * End of file. + */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c new file mode 100644 index 0000000000..8e9dc79deb --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q15.c + * Description: Q15 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q15 vector multiplication + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2, inB1, inB2; /* Temporary input variables */ + q15_t out1, out2, out3, out4; /* Temporary output variables */ + q31_t mul1, mul2, mul3, mul4; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* read 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + /* read 2 samples at a time from sourceA */ + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 samples at a time from sourceB */ + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* multiply mul = sourceA * sourceB */ + mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul2 = (q31_t) ((q15_t) (inA1 ) * (q15_t) (inB1 )); + mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 ) * (q15_t) (inB2 )); + + /* saturate result to 16 bit */ + out1 = (q15_t) __SSAT(mul1 >> 15, 16); + out2 = (q15_t) __SSAT(mul2 >> 15, 16); + out3 = (q15_t) __SSAT(mul3 >> 15, 16); + out4 = (q15_t) __SSAT(mul4 >> 15, 16); + + /* store result to destination */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(out2, out1, 16)); + write_q15x2_ia (&pDst, __PKHBT(out4, out3, 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(out1, out2, 16)); + write_q15x2_ia (&pDst, __PKHBT(out3, out4, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/CommonTables/arm_common_tables.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/CommonTables/arm_common_tables.c new file mode 100644 index 0000000000..140e26358b --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/CommonTables/arm_common_tables.c @@ -0,0 +1,70552 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_common_tables.c + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup ComplexFFT + */ + +/** + @addtogroup CFFT_CIFFT Complex FFT Tables + @{ + */ + +/** + @par + Pseudo code for Generation of Bit reversal Table is + @par + 
for (l = 1; l <= N/4; l++)
+  {
+    for (i = 0; i< logN2; i++)
+    {
+      a[i] = l & (1 << i);
+    }
+    for (j = 0; j < logN2; j++)
+    {
+      if (a[j] != 0)
+      y[l] += (1 << ((logN2 - 1) - j));
+    }
+    y[l] = y[l] >> 1;
+   }
+ @par + where N = 4096, logN2 = 12 + @par + N is the maximum FFT Size supported +*/ + +/** + @brief Table for bit reversal process +*/ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024) +const uint16_t armBitRevTable[1024] = { + 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x080, 0x480, 0x280, + 0x680, 0x180, 0x580, 0x380, 0x780, 0x040, 0x440, 0x240, 0x640, 0x140, + 0x540, 0x340, 0x740, 0x0c0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, + 0x7c0, 0x020, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0x0a0, + 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x060, 0x460, 0x260, + 0x660, 0x160, 0x560, 0x360, 0x760, 0x0e0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, + 0x5e0, 0x3e0, 0x7e0, 0x010, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, + 0x710, 0x090, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x050, + 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0x0d0, 0x4d0, 0x2d0, + 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x030, 0x430, 0x230, 0x630, 0x130, + 0x530, 0x330, 0x730, 0x0b0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, + 0x7b0, 0x070, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0x0f0, + 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x008, 0x408, 0x208, + 0x608, 0x108, 0x508, 0x308, 0x708, 0x088, 0x488, 0x288, 0x688, 0x188, + 0x588, 0x388, 0x788, 0x048, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, + 0x748, 0x0c8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x028, + 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0x0a8, 0x4a8, 0x2a8, + 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x068, 0x468, 0x268, 0x668, 0x168, + 0x568, 0x368, 0x768, 0x0e8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, + 0x7e8, 0x018, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x098, + 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x058, 0x458, 0x258, + 0x658, 0x158, 0x558, 0x358, 0x758, 0x0d8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, + 0x5d8, 0x3d8, 0x7d8, 0x038, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, + 0x738, 0x0b8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x078, + 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0x0f8, 0x4f8, 0x2f8, + 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x004, 0x404, 0x204, 0x604, 0x104, + 0x504, 0x304, 0x704, 0x084, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, + 0x784, 0x044, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0x0c4, + 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x024, 0x424, 0x224, + 0x624, 0x124, 0x524, 0x324, 0x724, 0x0a4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, + 0x5a4, 0x3a4, 0x7a4, 0x064, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, + 0x764, 0x0e4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x014, + 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x094, 0x494, 0x294, + 0x694, 0x194, 0x594, 0x394, 0x794, 0x054, 0x454, 0x254, 0x654, 0x154, + 0x554, 0x354, 0x754, 0x0d4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, + 0x7d4, 0x034, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0x0b4, + 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x074, 0x474, 0x274, + 0x674, 0x174, 0x574, 0x374, 0x774, 0x0f4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, + 0x5f4, 0x3f4, 0x7f4, 0x00c, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, + 0x70c, 0x08c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x04c, + 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0x0cc, 0x4cc, 0x2cc, + 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x02c, 0x42c, 0x22c, 0x62c, 0x12c, + 0x52c, 0x32c, 0x72c, 0x0ac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, + 0x7ac, 0x06c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0x0ec, + 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x01c, 0x41c, 0x21c, + 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x09c, 0x49c, 0x29c, 0x69c, 0x19c, + 0x59c, 0x39c, 0x79c, 0x05c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, + 0x75c, 0x0dc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x03c, + 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0x0bc, 0x4bc, 0x2bc, + 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x07c, 0x47c, 0x27c, 0x67c, 0x17c, + 0x57c, 0x37c, 0x77c, 0x0fc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, + 0x7fc, 0x002, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x082, + 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x042, 0x442, 0x242, + 0x642, 0x142, 0x542, 0x342, 0x742, 0x0c2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, + 0x5c2, 0x3c2, 0x7c2, 0x022, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, + 0x722, 0x0a2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x062, + 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0x0e2, 0x4e2, 0x2e2, + 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x012, 0x412, 0x212, 0x612, 0x112, + 0x512, 0x312, 0x712, 0x092, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, + 0x792, 0x052, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0x0d2, + 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x032, 0x432, 0x232, + 0x632, 0x132, 0x532, 0x332, 0x732, 0x0b2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, + 0x5b2, 0x3b2, 0x7b2, 0x072, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, + 0x772, 0x0f2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0x00a, + 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x08a, 0x48a, 0x28a, + 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x04a, 0x44a, 0x24a, 0x64a, 0x14a, + 0x54a, 0x34a, 0x74a, 0x0ca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, + 0x7ca, 0x02a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0x0aa, + 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x06a, 0x46a, 0x26a, + 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0x0ea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, + 0x5ea, 0x3ea, 0x7ea, 0x01a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, + 0x71a, 0x09a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, + 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0x0da, 0x4da, 0x2da, + 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x03a, 0x43a, 0x23a, 0x63a, 0x13a, + 0x53a, 0x33a, 0x73a, 0x0ba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, + 0x7ba, 0x07a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0x0fa, + 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x006, 0x406, 0x206, + 0x606, 0x106, 0x506, 0x306, 0x706, 0x086, 0x486, 0x286, 0x686, 0x186, + 0x586, 0x386, 0x786, 0x046, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, + 0x746, 0x0c6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x026, + 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0x0a6, 0x4a6, 0x2a6, + 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x066, 0x466, 0x266, 0x666, 0x166, + 0x566, 0x366, 0x766, 0x0e6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, + 0x7e6, 0x016, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x096, + 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x056, 0x456, 0x256, + 0x656, 0x156, 0x556, 0x356, 0x756, 0x0d6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, + 0x5d6, 0x3d6, 0x7d6, 0x036, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, + 0x736, 0x0b6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x076, + 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0x0f6, 0x4f6, 0x2f6, + 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0x00e, 0x40e, 0x20e, 0x60e, 0x10e, + 0x50e, 0x30e, 0x70e, 0x08e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, + 0x78e, 0x04e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0x0ce, + 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x02e, 0x42e, 0x22e, + 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0x0ae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, + 0x5ae, 0x3ae, 0x7ae, 0x06e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, + 0x76e, 0x0ee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x01e, + 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x09e, 0x49e, 0x29e, + 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x05e, 0x45e, 0x25e, 0x65e, 0x15e, + 0x55e, 0x35e, 0x75e, 0x0de, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, + 0x7de, 0x03e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0x0be, + 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x07e, 0x47e, 0x27e, + 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0x0fe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, + 0x5fe, 0x3fe, 0x7fe, 0x001 +}; +#endif + +/** + @brief Double Precision Floating-point Twiddle factors Table Generation +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(double)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(double)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_16[32] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32) + +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_32[64] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, //-0.19509, 0.98079' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388' + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, //-0.55557, 0.83147' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711' + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, //-0.83147, 0.55557' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268' + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, //-0.98079, 0.19509' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, //-0.98079,-0.19509' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268' + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, //-0.83147,-0.55557' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711' + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, //-0.55557,-0.83147' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388' + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, //-0.19509,-0.98079' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509,-0.98079' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557,-0.83147' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147,-0.55557' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079,-0.19509' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_64[128] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518' + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079' + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388' + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192' + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147' + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711' + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439' + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557' + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268' + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028' + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509' + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017' + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509' + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268' + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714' + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557' + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711' + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301' + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147' + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388' + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694' + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079' + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + }; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_128[256] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988' + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518' + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918' + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079' + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003' + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694' + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388' + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399' + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192' + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773' + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147' + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321' + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301' + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711' + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156' + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439' + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957' + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557' + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141' + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714' + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268' + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689' + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028' + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298' + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509' + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673' + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017' + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068' + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017' + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673' + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509' + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298' + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028' + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268' + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756' + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714' + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141' + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557' + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957' + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439' + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711' + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095' + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301' + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321' + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147' + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773' + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192' + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388' + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154' + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694' + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003' + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079' + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918' + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518' + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_256[512] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_512[1024] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, //-0.012272, 0.99992 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997 + 0xbfa2d865759455cd, 0x3feffa72effef75d, //-0.036807, 0.99932 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, //-0.061321, 0.99812 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //-0.085797, 0.99631 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992,-0.012272 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932,-0.036807 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812,-0.061321 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631,-0.085797 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //-0.085797, -0.99631 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, //-0.061321, -0.99812 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, //-0.036807, -0.99932 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, //-0.012272, -0.99992 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_1024[2048] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 + 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 + 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 + 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 + 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 + 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 + 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 + 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 + 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 + 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 + 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 + 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 + 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 + 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 + 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 + 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 + 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 + 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 + 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 + 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 + 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 + 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 + 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 + 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 + 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 + 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_2048[4096] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1 + 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 + 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 + 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988 + 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 + 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 + 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962 + 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 + 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943 + 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 + 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992 + 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 + 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 + 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864 + 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 + 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 + 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793 + 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 + 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 + 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706 + 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 + 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 + 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604 + 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 + 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 + 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488 + 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 + 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356 + 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 + 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921 + 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 + 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049 + 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 + 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872 + 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 + 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681 + 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 + 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475 + 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 + 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254 + 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 + 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018 + 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 + 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768 + 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 + 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503 + 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 + 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223 + 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 + 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928 + 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 + 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619 + 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 + 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295 + 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 + 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957 + 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 + 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605 + 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 + 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238 + 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 + 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856 + 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 + 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446 + 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 + 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051 + 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 + 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627 + 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 + 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188 + 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 + 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736 + 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 + 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227 + 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 + 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179 + 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 + 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296 + 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 + 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789 + 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 + 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267 + 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 + 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732 + 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 + 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184 + 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 + 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622 + 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 + 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047 + 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 + 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459 + 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 + 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857 + 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 + 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242 + 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 + 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615 + 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 + 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974 + 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 + 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321 + 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 + 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655 + 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 + 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976 + 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 + 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285 + 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 + 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581 + 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 + 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866 + 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 + 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138 + 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 + 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398 + 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 + 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646 + 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 + 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882 + 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 + 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106 + 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 + 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319 + 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 + 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552 + 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 + 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471 + 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 + 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889 + 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 + 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056 + 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 + 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213 + 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 + 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358 + 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 + 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493 + 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 + 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618 + 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 + 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732 + 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 + 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835 + 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 + 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928 + 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 + 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011 + 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 + 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085 + 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 + 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148 + 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 + 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202 + 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 + 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246 + 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 + 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281 + 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 + 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307 + 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 + 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323 + 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 + 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331 + 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 + 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733 + 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 + 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632 + 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 + 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302 + 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 + 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275 + 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 + 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324 + 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 + 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198 + 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 + 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147 + 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 + 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089 + 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 + 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023 + 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 + 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949 + 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 + 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869 + 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 + 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781 + 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 + 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687 + 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 + 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586 + 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 + 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478 + 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 + 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364 + 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 + 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243 + 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 + 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117 + 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 + 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985 + 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 + 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847 + 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 + 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703 + 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 + 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554 + 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 + 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334 + 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 + 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241 + 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 + 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077 + 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 + 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908 + 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 + 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735 + 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 + 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557 + 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 + 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375 + 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 + 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519 + 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 + 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24 + 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 + 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807 + 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 + 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611 + 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 + 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411 + 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 + 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208 + 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 + 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002 + 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 + 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794 + 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 + 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583 + 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 + 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437 + 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 + 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154 + 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 + 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937 + 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 + 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717 + 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 + 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963 + 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 + 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274 + 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 + 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505 + 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 + 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258 + 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 + 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003 + 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 + 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741 + 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 + 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474 + 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 + 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038 + 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 + 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068 + 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 + 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 + 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339 + 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 + 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 + 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608 + 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 + 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 + 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873 + 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 + 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 + 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132 + 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 + 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 + 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383 + 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 + 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 + 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624 + 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 + 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 + 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854 + 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 + 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 + 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107 + 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 + 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327 + 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 + 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545 + 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 + 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762 + 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 + 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976 + 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 + 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189 + 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 + 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398 + 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 + 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606 + 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 + 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981 + 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 + 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011 + 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 + 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209 + 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 + 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404 + 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 + 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596 + 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 + 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783 + 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 + 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967 + 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 + 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146 + 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 + 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322 + 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 + 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493 + 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 + 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659 + 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 + 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821 + 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 + 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978 + 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 + 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129 + 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 + 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276 + 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 + 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416 + 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 + 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552 + 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 + 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681 + 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 + 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804 + 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 + 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922 + 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 + 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033 + 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 + 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137 + 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 + 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235 + 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 + 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326 + 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 + 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741 + 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 + 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487 + 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 + 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557 + 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 + 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619 + 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 + 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673 + 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 + 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272 + 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 + 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759 + 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 + 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789 + 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 + 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812 + 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 + 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826 + 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 + 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831 + 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 + 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828 + 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 + 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816 + 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 + 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795 + 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 + 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765 + 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 + 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725 + 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 + 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676 + 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 + 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618 + 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 + 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549 + 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 + 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471 + 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 + 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383 + 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 + 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285 + 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 + 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176 + 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 + 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057 + 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 + 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927 + 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 + 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787 + 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 + 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636 + 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 + 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474 + 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 + 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301 + 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 + 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117 + 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 + 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921 + 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 + 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714 + 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 + 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495 + 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 + 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265 + 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 + 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023 + 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 + 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769 + 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 + 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503 + 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 + 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225 + 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 + 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935 + 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 + 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632 + 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 + 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317 + 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 + 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989 + 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 + 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649 + 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 + 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296 + 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 + 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593 + 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 + 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551 + 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 + 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716 + 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 + 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755 + 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 + 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336 + 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 + 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905 + 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 + 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946 + 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 + 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002 + 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 + 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053 + 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 + 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044 + 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 + 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545 + 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 + 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032 + 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 + 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505 + 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 + 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964 + 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 + 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409 + 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 + 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384 + 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 + 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257 + 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 + 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466 + 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 + 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049 + 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 + 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423 + 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 + 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783 + 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 + 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128 + 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 + 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459 + 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 + 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775 + 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 + 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077 + 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 + 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364 + 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 + 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637 + 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 + 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895 + 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 + 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138 + 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 + 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366 + 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 + 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858 + 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 + 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778 + 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 + 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962 + 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 + 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131 + 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 + 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285 + 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 + 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424 + 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 + 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 + 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548 + 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 + 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 + 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657 + 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 + 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 + 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751 + 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 + 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 + 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983 + 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 + 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 + 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894 + 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 + 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 + 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943 + 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 + 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 + 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977 + 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 + 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 + 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996 + 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 + 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_4096[8192] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996 + 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, // 0.0076698, 0.99997 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 + 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, // 0.0046019, 0.99999 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf5921faaee6472d, 0x3feffffd88586ee6, // -0.001534, 1 + 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1 + 0xbf72d97822f996bc, 0x3fefffe9cb1e2e8d, //-0.0046019, 0.99999 + 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 + 0xbf7f6a65f9a2a3c5, 0x3fefffc250b5daef, //-0.0076698, 0.99997 + 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996 + 0xbf85fda037ac05e0, 0x3fefff871937ce2f, // -0.010738, 0.99994 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 + 0xbf8c45ffe1e48ad9, 0x3fefff3824c88f6f, // -0.013805, 0.9999 + 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988 + 0xbf9147270dad7132, 0x3feffed57398d2b7, // -0.016873, 0.99986 + 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 + 0xbf946b4381fce81c, 0x3feffe5f05e578db, // -0.01994, 0.9998 + 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977 + 0xbf978f535ddc9f03, 0x3feffdd4dbf78f52, // -0.023008, 0.99974 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 + 0xbf9ab354b1504fca, 0x3feffd36f624500c, // -0.026075, 0.99966 + 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962 + 0xbf9dd7458c64ab39, 0x3feffc8554cd213a, // -0.029142, 0.99958 + 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 + 0xbfa07d91ff984580, 0x3feffbbff85f9515, // -0.032208, 0.99948 + 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943 + 0xbfa20f770ceb11c6, 0x3feffae6e1556998, // -0.035274, 0.99938 + 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 + 0xbfa3a150f6421afc, 0x3feff9fa10348837, // -0.03834, 0.99926 + 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992 + 0xbfa5331ec3bba0eb, 0x3feff8f9858f058b, // -0.041406, 0.99914 + 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 + 0xbfa6c4df7d7d5b84, 0x3feff7e5420320f9, // -0.044471, 0.99901 + 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894 + 0xbfa856922bb513c1, 0x3feff6bd463b444d, // -0.047535, 0.99887 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 + 0xbfa9e835d6993c87, 0x3feff58192ee0358, // -0.0506, 0.99872 + 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864 + 0xbfab79c986698b78, 0x3feff43228de1b77, // -0.053664, 0.99856 + 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 + 0xbfad0b4c436f91d0, 0x3feff2cf08da7321, // -0.056727, 0.99839 + 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983 + 0xbfae9cbd15ff5527, 0x3feff15833be1965, // -0.05979, 0.99821 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 + 0xbfb0170d833bf421, 0x3fefefcdaa704562, // -0.062852, 0.99802 + 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793 + 0xbfb0dfb28ea201e6, 0x3fefee2f6de455ba, // -0.065913, 0.99783 + 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 + 0xbfb1a84d316d4f8a, 0x3fefec7d7f19cffc, // -0.068974, 0.99762 + 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751 + 0xbfb270dcefdfc45b, 0x3fefeab7df1c6005, // -0.072035, 0.9974 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 + 0xbfb339614e41ffa5, 0x3fefe8de8f03d75c, // -0.075094, 0.99718 + 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706 + 0xbfb401d9d0e3a507, 0x3fefe6f18ff42c84, // -0.078153, 0.99694 + 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 + 0xbfb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // -0.081211, 0.9967 + 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657 + 0xbfb592a554489bc8, 0x3fefe2dc89bbff08, // -0.084269, 0.99644 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 + 0xbfb65af75dd0f87b, 0x3fefe0b485181be3, // -0.087326, 0.99618 + 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604 + 0xbfb7233b9d236e71, 0x3fefde78d68653fd, // -0.090381, 0.99591 + 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 + 0xbfb7eb7196b72ee4, 0x3fefdc297f674ba9, // -0.093436, 0.99563 + 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548 + 0xbfb8b398cf0c38e0, 0x3fefd9c68127c78c, // -0.09649, 0.99533 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 + 0xbfb97bb0caaba56f, 0x3fefd74fdd40abbf, // -0.099544, 0.99503 + 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488 + 0xbfba43b90e27f3c4, 0x3fefd4c59536fae4, // -0.1026, 0.99472 + 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 + 0xbfbb0bb11e1d5559, 0x3fefd227aa9bd53b, // -0.10565, 0.9944 + 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424 + 0xbfbbd3987f31fa0e, 0x3fefcf761f0c77a3, // -0.1087, 0.99407 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbc9b6eb6165c42, 0x3fefccb0f4323aa3, // -0.11175, 0.99374 + 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356 + 0xbfbd633347858ce4, 0x3fefc9d82bc2915e, // -0.11479, 0.99339 + 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 + 0xbfbe2ae5b8457f77, 0x3fefc6ebc77f0887, // -0.11784, 0.99303 + 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285 + 0xbfbef2858d27561b, 0x3fefc3ebc935454c, // -0.12089, 0.99267 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfbfba124b07ad85, 0x3fefc0d832bf043a, // -0.12393, 0.99229 + 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921 + 0xbfc040c5bb67747e, 0x3fefbdb106021816, // -0.12698, 0.99191 + 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 + 0xbfc0a4784ab8bf1d, 0x3fefba7644f068b5, // -0.13002, 0.99151 + 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131 + 0xbfc1082095f820b0, 0x3fefb727f187f1c7, // -0.13306, 0.99111 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc16bbe5fac5865, 0x3fefb3c60dd2c199, // -0.1361, 0.9907 + 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049 + 0xbfc1cf516a62a077, 0x3fefb0509be6f7db, // -0.13914, 0.99027 + 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 + 0xbfc232d978aed413, 0x3fefacc79de6c44f, // -0.14218, 0.98984 + 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962 + 0xbfc296564d2b953e, 0x3fefa92b1600657c, // -0.14521, 0.9894 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc2f9c7aa7a72af, 0x3fefa57b066e2754, // -0.14825, 0.98895 + 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872 + 0xbfc35d2d53440db2, 0x3fefa1b7717661d5, // -0.15128, 0.98849 + 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 + 0xbfc3c0870a383ff6, 0x3fef9de0596b77a3, // -0.15431, 0.98802 + 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778 + 0xbfc423d4920e4166, 0x3fef99f5c0abd496, // -0.15734, 0.98754 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc48715ad84cdf5, 0x3fef95f7a9a1ec47, // -0.16037, 0.98706 + 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681 + 0xbfc4ea4a1f624b61, 0x3fef91e616c43891, // -0.1634, 0.98656 + 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 + 0xbfc54d71aa74ef02, 0x3fef8dc10a95380d, // -0.16643, 0.98605 + 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858 + 0xbfc5b08c1192e381, 0x3fef898887a36c84, // -0.16945, 0.98554 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc61399179a6e94, 0x3fef853c9089595e, // -0.17247, 0.98501 + 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475 + 0xbfc676987f7216b8, 0x3fef80dd27ed8204, // -0.17549, 0.98448 + 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 + 0xbfc6d98a0c08c8da, 0x3fef7c6a50826840, // -0.17851, 0.98394 + 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366 + 0xbfc73c6d8055fe0a, 0x3fef77e40d068a90, // -0.18153, 0.98339 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc79f429f59e11d, 0x3fef734a60446279, // -0.18455, 0.98282 + 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254 + 0xbfc802092c1d744b, 0x3fef6e9d4d1262ca, // -0.18756, 0.98225 + 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 + 0xbfc864c0e9b2b6cf, 0x3fef69dcd652f5de, // -0.19057, 0.98167 + 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138 + 0xbfc8c7699b34ca7e, 0x3fef6508fef47bd5, // -0.19359, 0.98108 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfc92a0303c8194f, 0x3fef6021c9f148c2, // -0.19659, 0.98048 + 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018 + 0xbfc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // -0.1996, 0.97988 + 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 + 0xbfc9ef0706e35a35, 0x3fef56195321c090, // -0.20261, 0.97926 + 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895 + 0xbfca517127e3dabc, 0x3fef50f81785c6b9, // -0.20561, 0.97863 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // -0.20861, 0.978 + 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768 + 0xbfcb16147941ca2a, 0x3fef467bafb7bbe0, // -0.21161, 0.97735 + 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 + 0xbfcb784d30536cda, 0x3fef412089fd8adc, // -0.21461, 0.9767 + 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637 + 0xbfcbda74f5856330, 0x3fef3bb21cc4fe47, // -0.2176, 0.97604 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcc3c8b8c4b9dd7, 0x3fef36306b67c556, // -0.2206, 0.97536 + 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503 + 0xbfcc9e90b824a6a9, 0x3fef309b794b719f, // -0.22359, 0.97468 + 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 + 0xbfcd00843c99c5f9, 0x3fef2af349e17507, // -0.22658, 0.97399 + 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364 + 0xbfcd6265dd3f27e3, 0x3fef2537e0a71f9f, // -0.22957, 0.97329 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfcdc4355db40195, 0x3fef1f6941259d7a, // -0.23255, 0.97258 + 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223 + 0xbfce25f281a2b684, 0x3fef19876ef1f486, // -0.23553, 0.97187 + 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 + 0xbfce879d0cc0fdaf, 0x3fef13926dad024e, // -0.23851, 0.97114 + 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077 + 0xbfcee934c2d006c7, 0x3fef0d8a410379c5, // -0.24149, 0.9704 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfcf4ab9679c9f5c, 0x3fef076eecade0fa, // -0.24447, 0.96966 + 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928 + 0xbfcfac2abeff57ff, 0x3fef014074708ed3, // -0.24744, 0.9689 + 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 + 0xbfd006c4466e54af, 0x3feefafedc1ba8b7, // -0.25041, 0.96814 + 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775 + 0xbfd037694a928cac, 0x3feef4aa278b2032, // -0.25338, 0.96737 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd068044deab002, 0x3feeee425aa6b09a, // -0.25635, 0.96658 + 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619 + 0xbfd09895327b465e, 0x3feee7c77961dc9e, // -0.25931, 0.96579 + 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 + 0xbfd0c91bda4f158d, 0x3feee13987bbebdc, // -0.26227, 0.96499 + 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459 + 0xbfd0f998277733f7, 0x3feeda9889bfe86a, // -0.26523, 0.96418 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd12a09fc0b1b12, 0x3feed3e483849c51, // -0.26819, 0.96337 + 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295 + 0xbfd15a713a28b9d9, 0x3feecd1d792c8f10, // -0.27115, 0.96254 + 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 + 0xbfd18acdc3f4873a, 0x3feec6436ee60309, // -0.2741, 0.9617 + 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128 + 0xbfd1bb1f7b999480, 0x3feebf5668eaf2ef, // -0.27705, 0.96086 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd1eb6643499fbb, 0x3feeb8566b810f2a, // -0.27999, 0.96 + 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957 + 0xbfd21ba1fd3d2623, 0x3feeb1437af9bb34, // -0.28294, 0.95914 + 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 + 0xbfd24bd28bb37672, 0x3feeaa1d9bb20af3, // -0.28588, 0.95827 + 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783 + 0xbfd27bf7d0f2c346, 0x3feea2e4d212c000, // -0.28882, 0.95738 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd2ac11af483572, 0x3fee9b99229046f8, // -0.29175, 0.95649 + 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605 + 0xbfd2dc200907fe51, 0x3fee943a91aab4b4, // -0.29469, 0.95559 + 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 + 0xbfd30c22c08d6a13, 0x3fee8cc923edc388, // -0.29762, 0.95469 + 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423 + 0xbfd33c19b83af207, 0x3fee8544ddf0d075, // -0.30054, 0.95377 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd36c04d27a4edf, 0x3fee7dadc456d850, // -0.30347, 0.95284 + 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238 + 0xbfd39be3f1bc8aef, 0x3fee7603dbce74e9, // -0.30639, 0.95191 + 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 + 0xbfd3cbb6f87a146e, 0x3fee6e472911da27, // -0.30931, 0.95096 + 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049 + 0xbfd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // -0.31222, 0.95001 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd42b38466e2928, 0x3fee5e95781ebf1c, // -0.31514, 0.94905 + 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856 + 0xbfd45ae652bb2800, 0x3fee56a083968eb1, // -0.31805, 0.94807 + 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 + 0xbfd48a87d0b07fd7, 0x3fee4e98d836c0af, // -0.32096, 0.94709 + 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466 + 0xbfd4ba1ca2eca31c, 0x3fee467e7af35f23, // -0.32386, 0.94611 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd4e9a4ac15d520, 0x3fee3e5170cbfc46, // -0.32676, 0.94511 + 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446 + 0xbfd5191fceda3c35, 0x3fee3611becbaf69, // -0.32966, 0.9441 + 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 + 0xbfd5488dedeff3be, 0x3fee2dbf6a0911d9, // -0.33255, 0.94308 + 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257 + 0xbfd577eeec151e47, 0x3fee255a77a63bb8, // -0.33545, 0.94206 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // -0.33833, 0.94103 + 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051 + 0xbfd5d68910aee686, 0x3fee1458cec1ad83, // -0.34122, 0.93998 + 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 + 0xbfd605c1fcc88f63, 0x3fee0bbc22bd8349, // -0.3441, 0.93893 + 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384 + 0xbfd634ed533be58e, 0x3fee030cee1435b8, // -0.34698, 0.93787 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd6640af6f03d9e, 0x3fedfa4b3621271d, // -0.34986, 0.9368 + 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627 + 0xbfd6931acad55f51, 0x3fedf177004b2534, // -0.35273, 0.93573 + 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 + 0xbfd6c21cb1e39771, 0x3fede890520465ce, // -0.3556, 0.93464 + 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409 + 0xbfd6f1108f1bc9c5, 0x3feddf9730ca837b, // -0.35846, 0.93354 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd71ff6458782ec, 0x3fedd68ba2267a25, // -0.36133, 0.93244 + 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188 + 0xbfd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // -0.36418, 0.93133 + 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 + 0xbfd77d96ca4b73a6, 0x3fedc43d52fcb453, // -0.36704, 0.93021 + 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964 + 0xbfd7ac515ee2b172, 0x3fedbafa9dc1b78d, // -0.36989, 0.92907 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd7dafd592ba621, 0x3fedb1a591b20c38, // -0.37274, 0.92794 + 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736 + 0xbfd8099a9c5c362d, 0x3feda83e348f613b, // -0.37559, 0.92679 + 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 + 0xbfd838290bb359c8, 0x3fed9ec48c26b1f3, // -0.37843, 0.92563 + 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505 + 0xbfd866a88a792ea0, 0x3fed95389e50429b, // -0.38127, 0.92447 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd89518fbff098e, 0x3fed8b9a70ef9cb4, // -0.3841, 0.92329 + 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227 + 0xbfd8c37a439f884f, 0x3fed81ea09f38b63, // -0.38693, 0.92211 + 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 + 0xbfd8f1cc44bea329, 0x3fed78276f5617c6, // -0.38976, 0.92092 + 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032 + 0xbfd9200ee2c9be97, 0x3fed6e52a71c8547, // -0.39258, 0.91972 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd94e420137bce3, 0x3fed646bb7574de5, // -0.3954, 0.91851 + 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179 + 0xbfd97c6583890fc2, 0x3fed5a72a6221e73, // -0.39822, 0.91729 + 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 + 0xbfd9aa794d47c9ee, 0x3fed506779a3d2d9, // -0.40103, 0.91606 + 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545 + 0xbfd9d87d4207b0ab, 0x3fed464a380e7242, // -0.40384, 0.91483 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfda067145664d57, 0x3fed3c1ae79f2b4e, // -0.40664, 0.91359 + 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296 + 0xbfda34553b0afee5, 0x3fed31d98e9e503a, // -0.40944, 0.91234 + 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 + 0xbfda622906a70b63, 0x3fed2786335f52fc, // -0.41224, 0.91107 + 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044 + 0xbfda8fec8bf5b166, 0x3fed1d20dc40c15c, // -0.41503, 0.90981 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdabd9faebc3980, 0x3fed12a98fac410c, // -0.41782, 0.90853 + 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789 + 0xbfdaeb4252ca07ab, 0x3fed082054168bac, // -0.42061, 0.90724 + 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 + 0xbfdb18d45bf8aca6, 0x3fecfd852fff6ad4, // -0.42339, 0.90595 + 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053 + 0xbfdb4655ae2bf757, 0x3fecf2d829f1b40e, // -0.42617, 0.90464 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdb73c62d520624, 0x3fece819488344ce, // -0.42894, 0.90333 + 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267 + 0xbfdba125bd63583e, 0x3fecdd489254fe65, // -0.43171, 0.90201 + 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 + 0xbfdbce744262deee, 0x3fecd2660e12c1e6, // -0.43448, 0.90068 + 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002 + 0xbfdbfbb1a05e0edc, 0x3fecc771c2736c09, // -0.43724, 0.89935 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdc28ddbb6cf145, 0x3fecbc6bb638d10b, // -0.43999, 0.898 + 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732 + 0xbfdc55f877b23537, 0x3fecb153f02fb87d, // -0.44275, 0.89665 + 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 + 0xbfdc8301b95b40c2, 0x3feca62a772fd919, // -0.4455, 0.89528 + 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946 + 0xbfdcaff964a0421d, 0x3fec9aef521bd480, // -0.44824, 0.89391 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdcdcdf5dc440ce, 0x3fec8fa287e13305, // -0.45098, 0.89253 + 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184 + 0xbfdd09b389152ec1, 0x3fec84441f785f61, // -0.45372, 0.89115 + 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 + 0xbfdd3675caebf962, 0x3fec78d41fe4a267, // -0.45645, 0.88975 + 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905 + 0xbfdd632607ac9aa9, 0x3fec6d5290341eb2, // -0.45918, 0.88835 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfdd8fc423c62a25, 0x3fec61bf777fcc48, // -0.4619, 0.88693 + 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622 + 0xbfddbc5003b2edf8, 0x3fec561adceb743e, // -0.46462, 0.88551 + 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 + 0xbfdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // -0.46733, 0.88408 + 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336 + 0xbfde1530a12779f4, 0x3fec3e9d3ee7d262, // -0.47004, 0.88264 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfde418527dc4ffa, 0x3fec32c449f60831, // -0.47275, 0.8812 + 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047 + 0xbfde6dc704be97e2, 0x3fec26d9f01f2eaf, // -0.47545, 0.87974 + 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 + 0xbfde99f61c817eda, 0x3fec1ade38bce19b, // -0.47815, 0.87828 + 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755 + 0xbfdec61253e3c61b, 0x3fec0ed12b3372e9, // -0.48084, 0.87681 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdef21b8fafd3b5, 0x3fec02b2cef1e641, // -0.48353, 0.87533 + 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459 + 0xbfdf1e11b4bbc35c, 0x3febf6832b71ec5b, // -0.48621, 0.87384 + 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 + 0xbfdf49f4a7e97729, 0x3febea424837de6d, // -0.48889, 0.87235 + 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716 + 0xbfdf75c44e26a852, 0x3febddf02cd2b983, // -0.49156, 0.87084 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // -0.49423, 0.86933 + 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857 + 0xbfdfcd2947c1ff57, 0x3febc5186bf8361d, // -0.4969, 0.86781 + 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 + 0xbfdff8be6537615e, 0x3febb892d5d5dad5, // -0.49956, 0.86628 + 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551 + 0xbfe0121fe4f56d2c, 0x3febabfc262e6586, // -0.50221, 0.86474 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe027d6ad83287e, 0x3feb9f5464c5bffc, // -0.50486, 0.8632 + 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242 + 0xbfe03d837edff370, 0x3feb929b996a5b7f, // -0.50751, 0.86165 + 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 + 0xbfe053264bad0483, 0x3feb85d1cbf52c02, // -0.51015, 0.86009 + 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593 + 0xbfe068bf0691c028, 0x3feb78f70449a34b, // -0.51279, 0.85852 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe07e4da23bc102, 0x3feb6c0b4a55ac17, // -0.51542, 0.85694 + 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615 + 0xbfe093d2115ee018, 0x3feb5f0ea611a532, // -0.51804, 0.85535 + 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 + 0xbfe0a94c46b53d0b, 0x3feb52011f805c92, // -0.52067, 0.85376 + 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296 + 0xbfe0bebc34ff4646, 0x3feb44e2beaf0a61, // -0.52328, 0.85216 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe0d421cf03c12b, 0x3feb37b38bb54c09, // -0.5259, 0.85055 + 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974 + 0xbfe0e97d078fd23b, 0x3feb2a738eb51f33, // -0.5285, 0.84893 + 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 + 0xbfe0fecdd1770537, 0x3feb1d22cfdadcc6, // -0.5311, 0.84731 + 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649 + 0xbfe114141f935545, 0x3feb0fc1575d33db, // -0.5337, 0.84567 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe1294fe4c5350a, 0x3feb024f2d7d24a9, // -0.53629, 0.84403 + 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321 + 0xbfe13e8113f396c1, 0x3feaf4cc5a85fb73, // -0.53888, 0.84238 + 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 + 0xbfe153a7a00bf453, 0x3feae738e6cd4b67, // -0.54146, 0.84073 + 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989 + 0xbfe168c37c025764, 0x3fead994dab2e979, // -0.54404, 0.83906 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe17dd49ad16161, 0x3feacbe03ea0e73b, // -0.54661, 0.83739 + 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655 + 0xbfe192daef7a5386, 0x3feabe1b1b0b8dac, // -0.54918, 0.83571 + 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 + 0xbfe1a7d66d0516e6, 0x3feab045787157ff, // -0.55174, 0.83402 + 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317 + 0xbfe1bcc706804467, 0x3feaa25f5f5aee60, // -0.55429, 0.83232 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe1d1acaf012cc2, 0x3fea9468d85b20ae, // -0.55685, 0.83062 + 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976 + 0xbfe1e68759a3e074, 0x3fea8661ec0ee133, // -0.55939, 0.8289 + 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 + 0xbfe1fb56f98b37b8, 0x3fea784aa31d3f55, // -0.56193, 0.82718 + 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632 + 0xbfe2101b81e0da78, 0x3fea6a230637623b, // -0.56447, 0.82546 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe224d4e5d5482e, 0x3fea5beb1e188375, // -0.567, 0.82372 + 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285 + 0xbfe23983189fdfd5, 0x3fea4da2f385e997, // -0.56952, 0.82198 + 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 + 0xbfe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // -0.57204, 0.82023 + 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935 + 0xbfe262bdb7b795a2, 0x3fea30e1fa4cbf81, // -0.57455, 0.81847 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2774a0a961612, 0x3fea22693d62ccb9, // -0.57706, 0.8167 + 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581 + 0xbfe28bcaf96d94ba, 0x3fea13e0617e4ec7, // -0.57956, 0.81493 + 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 + 0xbfe2a040779843fb, 0x3fea05476f967bb5, // -0.58206, 0.81314 + 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225 + 0xbfe2b4aa787764c4, 0x3fe9f69e70ac75bc, // -0.58455, 0.81135 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe2c908ef734e57, 0x3fe9e7e56dcb45bd, // -0.58704, 0.80956 + 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866 + 0xbfe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // -0.58952, 0.80775 + 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 + 0xbfe2f1a30d86773a, 0x3fe9ca438080eadb, // -0.592, 0.80594 + 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503 + 0xbfe305de9b921a94, 0x3fe9bb5aa85f2098, // -0.59447, 0.80412 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe31a0e6da35e44, 0x3fe9ac61f0d4e247, // -0.59693, 0.80229 + 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138 + 0xbfe32e3277467d6b, 0x3fe99d59631e65d5, // -0.59939, 0.80046 + 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 + 0xbfe3424aac0ef7d6, 0x3fe98e410881a600, // -0.60184, 0.79861 + 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769 + 0xbfe35656ff9799ae, 0x3fe97f18ea4e5c9e, // -0.60429, 0.79676 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe36a576582831b, 0x3fe96fe111ddfce0, // -0.60673, 0.79491 + 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398 + 0xbfe37e4bd1792fe2, 0x3fe960998893ad8c, // -0.60917, 0.79304 + 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 + 0xbfe39234372c7f04, 0x3fe9514257dc4335, // -0.6116, 0.79117 + 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023 + 0xbfe3a6108a54ba58, 0x3fe941db892e3a65, // -0.61402, 0.78929 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3b9e0beb19e18, 0x3fe932652609b1cf, // -0.61644, 0.7874 + 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646 + 0xbfe3cda4c80a6076, 0x3fe922df37f8646a, // -0.61885, 0.78551 + 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 + 0xbfe3e15c9a2db922, 0x3fe91349c88da398, // -0.62126, 0.7836 + 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265 + 0xbfe3f50828f1e8d2, 0x3fe903a4e1665133, // -0.62366, 0.78169 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe408a76834c0c0, 0x3fe8f3f08c28d9ac, // -0.62606, 0.77978 + 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882 + 0xbfe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // -0.62845, 0.77785 + 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 + 0xbfe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // -0.63083, 0.77592 + 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495 + 0xbfe4433ad0117b1d, 0x3fe8c47758fa71cb, // -0.63321, 0.77398 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe456a858917046, 0x3fe8b485aca2a468, // -0.63558, 0.77204 + 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106 + 0xbfe46a095557a0f1, 0x3fe8a484c3031d50, // -0.63794, 0.77008 + 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 + 0xbfe47d5dba6fde01, 0x3fe89474a5fb0a84, // -0.6403, 0.76812 + 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714 + 0xbfe490a57bedbcdf, 0x3fe884555f72fa6b, // -0.64266, 0.76615 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // -0.645, 0.76418 + 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319 + 0xbfe4b70ee48fb869, 0x3fe863e97db3d95a, // -0.64735, 0.7622 + 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 + 0xbfe4ca30740218a3, 0x3fe8539cf67c9029, // -0.64968, 0.76021 + 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921 + 0xbfe4dd453076b064, 0x3fe843416dc4cce2, // -0.65201, 0.75821 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // -0.65433, 0.75621 + 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552 + 0xbfe503480159ded2, 0x3fe8225d803964e5, // -0.65665, 0.75419 + 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 + 0xbfe51635fe5601d7, 0x3fe811d52faf94dc, // -0.65896, 0.75218 + 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117 + 0xbfe52916f96f8388, 0x3fe8013e0638e795, // -0.66127, 0.75015 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe53beae7012abe, 0x3fe7f0980e113978, // -0.66356, 0.74812 + 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471 + 0xbfe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // -0.66586, 0.74608 + 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 + 0xbfe5616b6b204e6e, 0x3fe7cf1fdacbf179, // -0.66814, 0.74403 + 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301 + 0xbfe57417ea8bb75c, 0x3fe7be4db453a27c, // -0.67042, 0.74198 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // -0.67269, 0.73992 + 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889 + 0xbfe599492a81ffbc, 0x3fe79c7d8198e56e, // -0.67496, 0.73785 + 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 + 0xbfe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // -0.67722, 0.73578 + 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474 + 0xbfe5be451f8bf980, 0x3fe77a730cbb9100, // -0.67948, 0.7337 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe5d0af016ed1d4, 0x3fe7695813b9b594, // -0.68172, 0.73161 + 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056 + 0xbfe5e30b6e6877f3, 0x3fe7582ea9b9a329, // -0.68397, 0.72951 + 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 + 0xbfe5f55a5b2576f8, 0x3fe746f6d9516d59, // -0.6862, 0.72741 + 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636 + 0xbfe6079bbc5aadfa, 0x3fe735b0ad2009b2, // -0.68843, 0.7253 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe619cf86c55702, 0x3fe7245c2fcd492a, // -0.69065, 0.72319 + 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213 + 0xbfe62bf5af2b0dfd, 0x3fe712f96c09d18d, // -0.69287, 0.72107 + 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 + 0xbfe63e0e2a59d7aa, 0x3fe701886c8f16e6, // -0.69508, 0.71894 + 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787 + 0xbfe65018ed28287f, 0x3fe6f0093c1f54de, // -0.69728, 0.7168 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe66215ec74eb91, 0x3fe6de7be585881d, // -0.69947, 0.71466 + 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358 + 0xbfe674051d27896c, 0x3fe6cce07395679f, // -0.70166, 0.71251 + 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 + 0xbfe685e6742feeef, 0x3fe6bb36f12b5e06, // -0.70385, 0.71035 + 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927 + 0xbfe697b9e686941c, 0x3fe6a97f692c82ea, // -0.70602, 0.70819 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6a97f692c82ea, 0x3fe697b9e686941c, // -0.70819, 0.70602 + 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493 + 0xbfe6bb36f12b5e06, 0x3fe685e6742feeef, // -0.71035, 0.70385 + 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 + 0xbfe6cce07395679f, 0x3fe674051d27896c, // -0.71251, 0.70166 + 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057 + 0xbfe6de7be585881d, 0x3fe66215ec74eb91, // -0.71466, 0.69947 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe6f0093c1f54de, 0x3fe65018ed28287f, // -0.7168, 0.69728 + 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618 + 0xbfe701886c8f16e6, 0x3fe63e0e2a59d7aa, // -0.71894, 0.69508 + 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 + 0xbfe712f96c09d18d, 0x3fe62bf5af2b0dfd, // -0.72107, 0.69287 + 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176 + 0xbfe7245c2fcd492a, 0x3fe619cf86c55702, // -0.72319, 0.69065 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe735b0ad2009b2, 0x3fe6079bbc5aadfa, // -0.7253, 0.68843 + 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732 + 0xbfe746f6d9516d59, 0x3fe5f55a5b2576f8, // -0.72741, 0.6862 + 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 + 0xbfe7582ea9b9a329, 0x3fe5e30b6e6877f3, // -0.72951, 0.68397 + 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285 + 0xbfe7695813b9b594, 0x3fe5d0af016ed1d4, // -0.73161, 0.68172 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe77a730cbb9100, 0x3fe5be451f8bf980, // -0.7337, 0.67948 + 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835 + 0xbfe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // -0.73578, 0.67722 + 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 + 0xbfe79c7d8198e56e, 0x3fe599492a81ffbc, // -0.73785, 0.67496 + 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383 + 0xbfe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // -0.73992, 0.67269 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7be4db453a27c, 0x3fe57417ea8bb75c, // -0.74198, 0.67042 + 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928 + 0xbfe7cf1fdacbf179, 0x3fe5616b6b204e6e, // -0.74403, 0.66814 + 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 + 0xbfe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // -0.74608, 0.66586 + 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471 + 0xbfe7f0980e113978, 0x3fe53beae7012abe, // -0.74812, 0.66356 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe8013e0638e795, 0x3fe52916f96f8388, // -0.75015, 0.66127 + 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011 + 0xbfe811d52faf94dc, 0x3fe51635fe5601d7, // -0.75218, 0.65896 + 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 + 0xbfe8225d803964e5, 0x3fe503480159ded2, // -0.75419, 0.65665 + 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549 + 0xbfe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // -0.75621, 0.65433 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe843416dc4cce2, 0x3fe4dd453076b064, // -0.75821, 0.65201 + 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085 + 0xbfe8539cf67c9029, 0x3fe4ca30740218a3, // -0.76021, 0.64968 + 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 + 0xbfe863e97db3d95a, 0x3fe4b70ee48fb869, // -0.7622, 0.64735 + 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618 + 0xbfe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // -0.76418, 0.645 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe884555f72fa6b, 0x3fe490a57bedbcdf, // -0.76615, 0.64266 + 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148 + 0xbfe89474a5fb0a84, 0x3fe47d5dba6fde01, // -0.76812, 0.6403 + 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 + 0xbfe8a484c3031d50, 0x3fe46a095557a0f1, // -0.77008, 0.63794 + 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676 + 0xbfe8b485aca2a468, 0x3fe456a858917046, // -0.77204, 0.63558 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8c47758fa71cb, 0x3fe4433ad0117b1d, // -0.77398, 0.63321 + 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202 + 0xbfe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // -0.77592, 0.63083 + 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 + 0xbfe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // -0.77785, 0.62845 + 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725 + 0xbfe8f3f08c28d9ac, 0x3fe408a76834c0c0, // -0.77978, 0.62606 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe903a4e1665133, 0x3fe3f50828f1e8d2, // -0.78169, 0.62366 + 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246 + 0xbfe91349c88da398, 0x3fe3e15c9a2db922, // -0.7836, 0.62126 + 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 + 0xbfe922df37f8646a, 0x3fe3cda4c80a6076, // -0.78551, 0.61885 + 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765 + 0xbfe932652609b1cf, 0x3fe3b9e0beb19e18, // -0.7874, 0.61644 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe941db892e3a65, 0x3fe3a6108a54ba58, // -0.78929, 0.61402 + 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281 + 0xbfe9514257dc4335, 0x3fe39234372c7f04, // -0.79117, 0.6116 + 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 + 0xbfe960998893ad8c, 0x3fe37e4bd1792fe2, // -0.79304, 0.60917 + 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795 + 0xbfe96fe111ddfce0, 0x3fe36a576582831b, // -0.79491, 0.60673 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe97f18ea4e5c9e, 0x3fe35656ff9799ae, // -0.79676, 0.60429 + 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307 + 0xbfe98e410881a600, 0x3fe3424aac0ef7d6, // -0.79861, 0.60184 + 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 + 0xbfe99d59631e65d5, 0x3fe32e3277467d6b, // -0.80046, 0.59939 + 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816 + 0xbfe9ac61f0d4e247, 0x3fe31a0e6da35e44, // -0.80229, 0.59693 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9bb5aa85f2098, 0x3fe305de9b921a94, // -0.80412, 0.59447 + 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323 + 0xbfe9ca438080eadb, 0x3fe2f1a30d86773a, // -0.80594, 0.592 + 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 + 0xbfe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // -0.80775, 0.58952 + 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828 + 0xbfe9e7e56dcb45bd, 0x3fe2c908ef734e57, // -0.80956, 0.58704 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfe9f69e70ac75bc, 0x3fe2b4aa787764c4, // -0.81135, 0.58455 + 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331 + 0xbfea05476f967bb5, 0x3fe2a040779843fb, // -0.81314, 0.58206 + 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 + 0xbfea13e0617e4ec7, 0x3fe28bcaf96d94ba, // -0.81493, 0.57956 + 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831 + 0xbfea22693d62ccb9, 0x3fe2774a0a961612, // -0.8167, 0.57706 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea30e1fa4cbf81, 0x3fe262bdb7b795a2, // -0.81847, 0.57455 + 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733 + 0xbfea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // -0.82023, 0.57204 + 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 + 0xbfea4da2f385e997, 0x3fe23983189fdfd5, // -0.82198, 0.56952 + 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826 + 0xbfea5beb1e188375, 0x3fe224d4e5d5482e, // -0.82372, 0.567 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea6a230637623b, 0x3fe2101b81e0da78, // -0.82546, 0.56447 + 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632 + 0xbfea784aa31d3f55, 0x3fe1fb56f98b37b8, // -0.82718, 0.56193 + 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 + 0xbfea8661ec0ee133, 0x3fe1e68759a3e074, // -0.8289, 0.55939 + 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812 + 0xbfea9468d85b20ae, 0x3fe1d1acaf012cc2, // -0.83062, 0.55685 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeaa25f5f5aee60, 0x3fe1bcc706804467, // -0.83232, 0.55429 + 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302 + 0xbfeab045787157ff, 0x3fe1a7d66d0516e6, // -0.83402, 0.55174 + 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 + 0xbfeabe1b1b0b8dac, 0x3fe192daef7a5386, // -0.83571, 0.54918 + 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789 + 0xbfeacbe03ea0e73b, 0x3fe17dd49ad16161, // -0.83739, 0.54661 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfead994dab2e979, 0x3fe168c37c025764, // -0.83906, 0.54404 + 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275 + 0xbfeae738e6cd4b67, 0x3fe153a7a00bf453, // -0.84073, 0.54146 + 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 + 0xbfeaf4cc5a85fb73, 0x3fe13e8113f396c1, // -0.84238, 0.53888 + 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759 + 0xbfeb024f2d7d24a9, 0x3fe1294fe4c5350a, // -0.84403, 0.53629 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb0fc1575d33db, 0x3fe114141f935545, // -0.84567, 0.5337 + 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324 + 0xbfeb1d22cfdadcc6, 0x3fe0fecdd1770537, // -0.84731, 0.5311 + 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 + 0xbfeb2a738eb51f33, 0x3fe0e97d078fd23b, // -0.84893, 0.5285 + 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272 + 0xbfeb37b38bb54c09, 0x3fe0d421cf03c12b, // -0.85055, 0.5259 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb44e2beaf0a61, 0x3fe0bebc34ff4646, // -0.85216, 0.52328 + 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198 + 0xbfeb52011f805c92, 0x3fe0a94c46b53d0b, // -0.85376, 0.52067 + 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 + 0xbfeb5f0ea611a532, 0x3fe093d2115ee018, // -0.85535, 0.51804 + 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673 + 0xbfeb6c0b4a55ac17, 0x3fe07e4da23bc102, // -0.85694, 0.51542 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeb78f70449a34b, 0x3fe068bf0691c028, // -0.85852, 0.51279 + 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147 + 0xbfeb85d1cbf52c02, 0x3fe053264bad0483, // -0.86009, 0.51015 + 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 + 0xbfeb929b996a5b7f, 0x3fe03d837edff370, // -0.86165, 0.50751 + 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619 + 0xbfeb9f5464c5bffc, 0x3fe027d6ad83287e, // -0.8632, 0.50486 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebabfc262e6586, 0x3fe0121fe4f56d2c, // -0.86474, 0.50221 + 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089 + 0xbfebb892d5d5dad5, 0x3fdff8be6537615e, // -0.86628, 0.49956 + 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 + 0xbfebc5186bf8361d, 0x3fdfcd2947c1ff57, // -0.86781, 0.4969 + 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557 + 0xbfebd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // -0.86933, 0.49423 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfebddf02cd2b983, 0x3fdf75c44e26a852, // -0.87084, 0.49156 + 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023 + 0xbfebea424837de6d, 0x3fdf49f4a7e97729, // -0.87235, 0.48889 + 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 + 0xbfebf6832b71ec5b, 0x3fdf1e11b4bbc35c, // -0.87384, 0.48621 + 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487 + 0xbfec02b2cef1e641, 0x3fdef21b8fafd3b5, // -0.87533, 0.48353 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec0ed12b3372e9, 0x3fdec61253e3c61b, // -0.87681, 0.48084 + 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949 + 0xbfec1ade38bce19b, 0x3fde99f61c817eda, // -0.87828, 0.47815 + 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 + 0xbfec26d9f01f2eaf, 0x3fde6dc704be97e2, // -0.87974, 0.47545 + 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741 + 0xbfec32c449f60831, 0x3fde418527dc4ffa, // -0.8812, 0.47275 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec3e9d3ee7d262, 0x3fde1530a12779f4, // -0.88264, 0.47004 + 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869 + 0xbfec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // -0.88408, 0.46733 + 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 + 0xbfec561adceb743e, 0x3fddbc5003b2edf8, // -0.88551, 0.46462 + 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326 + 0xbfec61bf777fcc48, 0x3fdd8fc423c62a25, // -0.88693, 0.4619 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec6d5290341eb2, 0x3fdd632607ac9aa9, // -0.88835, 0.45918 + 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781 + 0xbfec78d41fe4a267, 0x3fdd3675caebf962, // -0.88975, 0.45645 + 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 + 0xbfec84441f785f61, 0x3fdd09b389152ec1, // -0.89115, 0.45372 + 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235 + 0xbfec8fa287e13305, 0x3fdcdcdf5dc440ce, // -0.89253, 0.45098 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfec9aef521bd480, 0x3fdcaff964a0421d, // -0.89391, 0.44824 + 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687 + 0xbfeca62a772fd919, 0x3fdc8301b95b40c2, // -0.89528, 0.4455 + 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 + 0xbfecb153f02fb87d, 0x3fdc55f877b23537, // -0.89665, 0.44275 + 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137 + 0xbfecbc6bb638d10b, 0x3fdc28ddbb6cf145, // -0.898, 0.43999 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfecc771c2736c09, 0x3fdbfbb1a05e0edc, // -0.89935, 0.43724 + 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586 + 0xbfecd2660e12c1e6, 0x3fdbce744262deee, // -0.90068, 0.43448 + 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 + 0xbfecdd489254fe65, 0x3fdba125bd63583e, // -0.90201, 0.43171 + 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033 + 0xbfece819488344ce, 0x3fdb73c62d520624, // -0.90333, 0.42894 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfecf2d829f1b40e, 0x3fdb4655ae2bf757, // -0.90464, 0.42617 + 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478 + 0xbfecfd852fff6ad4, 0x3fdb18d45bf8aca6, // -0.90595, 0.42339 + 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 + 0xbfed082054168bac, 0x3fdaeb4252ca07ab, // -0.90724, 0.42061 + 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922 + 0xbfed12a98fac410c, 0x3fdabd9faebc3980, // -0.90853, 0.41782 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed1d20dc40c15c, 0x3fda8fec8bf5b166, // -0.90981, 0.41503 + 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364 + 0xbfed2786335f52fc, 0x3fda622906a70b63, // -0.91107, 0.41224 + 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 + 0xbfed31d98e9e503a, 0x3fda34553b0afee5, // -0.91234, 0.40944 + 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804 + 0xbfed3c1ae79f2b4e, 0x3fda067145664d57, // -0.91359, 0.40664 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed464a380e7242, 0x3fd9d87d4207b0ab, // -0.91483, 0.40384 + 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243 + 0xbfed506779a3d2d9, 0x3fd9aa794d47c9ee, // -0.91606, 0.40103 + 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 + 0xbfed5a72a6221e73, 0x3fd97c6583890fc2, // -0.91729, 0.39822 + 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681 + 0xbfed646bb7574de5, 0x3fd94e420137bce3, // -0.91851, 0.3954 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed6e52a71c8547, 0x3fd9200ee2c9be97, // -0.91972, 0.39258 + 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117 + 0xbfed78276f5617c6, 0x3fd8f1cc44bea329, // -0.92092, 0.38976 + 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 + 0xbfed81ea09f38b63, 0x3fd8c37a439f884f, // -0.92211, 0.38693 + 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552 + 0xbfed8b9a70ef9cb4, 0x3fd89518fbff098e, // -0.92329, 0.3841 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfed95389e50429b, 0x3fd866a88a792ea0, // -0.92447, 0.38127 + 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985 + 0xbfed9ec48c26b1f3, 0x3fd838290bb359c8, // -0.92563, 0.37843 + 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 + 0xbfeda83e348f613b, 0x3fd8099a9c5c362d, // -0.92679, 0.37559 + 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416 + 0xbfedb1a591b20c38, 0x3fd7dafd592ba621, // -0.92794, 0.37274 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfedbafa9dc1b78d, 0x3fd7ac515ee2b172, // -0.92907, 0.36989 + 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847 + 0xbfedc43d52fcb453, 0x3fd77d96ca4b73a6, // -0.93021, 0.36704 + 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 + 0xbfedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // -0.93133, 0.36418 + 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276 + 0xbfedd68ba2267a25, 0x3fd71ff6458782ec, // -0.93244, 0.36133 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfeddf9730ca837b, 0x3fd6f1108f1bc9c5, // -0.93354, 0.35846 + 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703 + 0xbfede890520465ce, 0x3fd6c21cb1e39771, // -0.93464, 0.3556 + 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 + 0xbfedf177004b2534, 0x3fd6931acad55f51, // -0.93573, 0.35273 + 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129 + 0xbfedfa4b3621271d, 0x3fd6640af6f03d9e, // -0.9368, 0.34986 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee030cee1435b8, 0x3fd634ed533be58e, // -0.93787, 0.34698 + 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554 + 0xbfee0bbc22bd8349, 0x3fd605c1fcc88f63, // -0.93893, 0.3441 + 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 + 0xbfee1458cec1ad83, 0x3fd5d68910aee686, // -0.93998, 0.34122 + 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978 + 0xbfee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // -0.94103, 0.33833 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee255a77a63bb8, 0x3fd577eeec151e47, // -0.94206, 0.33545 + 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334 + 0xbfee2dbf6a0911d9, 0x3fd5488dedeff3be, // -0.94308, 0.33255 + 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 + 0xbfee3611becbaf69, 0x3fd5191fceda3c35, // -0.9441, 0.32966 + 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821 + 0xbfee3e5170cbfc46, 0x3fd4e9a4ac15d520, // -0.94511, 0.32676 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee467e7af35f23, 0x3fd4ba1ca2eca31c, // -0.94611, 0.32386 + 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241 + 0xbfee4e98d836c0af, 0x3fd48a87d0b07fd7, // -0.94709, 0.32096 + 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 + 0xbfee56a083968eb1, 0x3fd45ae652bb2800, // -0.94807, 0.31805 + 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659 + 0xbfee5e95781ebf1c, 0x3fd42b38466e2928, // -0.94905, 0.31514 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // -0.95001, 0.31222 + 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077 + 0xbfee6e472911da27, 0x3fd3cbb6f87a146e, // -0.95096, 0.30931 + 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 + 0xbfee7603dbce74e9, 0x3fd39be3f1bc8aef, // -0.95191, 0.30639 + 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493 + 0xbfee7dadc456d850, 0x3fd36c04d27a4edf, // -0.95284, 0.30347 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee8544ddf0d075, 0x3fd33c19b83af207, // -0.95377, 0.30054 + 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908 + 0xbfee8cc923edc388, 0x3fd30c22c08d6a13, // -0.95469, 0.29762 + 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 + 0xbfee943a91aab4b4, 0x3fd2dc200907fe51, // -0.95559, 0.29469 + 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322 + 0xbfee9b99229046f8, 0x3fd2ac11af483572, // -0.95649, 0.29175 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeea2e4d212c000, 0x3fd27bf7d0f2c346, // -0.95738, 0.28882 + 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735 + 0xbfeeaa1d9bb20af3, 0x3fd24bd28bb37672, // -0.95827, 0.28588 + 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 + 0xbfeeb1437af9bb34, 0x3fd21ba1fd3d2623, // -0.95914, 0.28294 + 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146 + 0xbfeeb8566b810f2a, 0x3fd1eb6643499fbb, // -0.96, 0.27999 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeebf5668eaf2ef, 0x3fd1bb1f7b999480, // -0.96086, 0.27705 + 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557 + 0xbfeec6436ee60309, 0x3fd18acdc3f4873a, // -0.9617, 0.2741 + 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 + 0xbfeecd1d792c8f10, 0x3fd15a713a28b9d9, // -0.96254, 0.27115 + 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967 + 0xbfeed3e483849c51, 0x3fd12a09fc0b1b12, // -0.96337, 0.26819 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeeda9889bfe86a, 0x3fd0f998277733f7, // -0.96418, 0.26523 + 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375 + 0xbfeee13987bbebdc, 0x3fd0c91bda4f158d, // -0.96499, 0.26227 + 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 + 0xbfeee7c77961dc9e, 0x3fd09895327b465e, // -0.96579, 0.25931 + 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783 + 0xbfeeee425aa6b09a, 0x3fd068044deab002, // -0.96658, 0.25635 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfeef4aa278b2032, 0x3fd037694a928cac, // -0.96737, 0.25338 + 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519 + 0xbfeefafedc1ba8b7, 0x3fd006c4466e54af, // -0.96814, 0.25041 + 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 + 0xbfef014074708ed3, 0x3fcfac2abeff57ff, // -0.9689, 0.24744 + 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596 + 0xbfef076eecade0fa, 0x3fcf4ab9679c9f5c, // -0.96966, 0.24447 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef0d8a410379c5, 0x3fcee934c2d006c7, // -0.9704, 0.24149 + 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24 + 0xbfef13926dad024e, 0x3fce879d0cc0fdaf, // -0.97114, 0.23851 + 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 + 0xbfef19876ef1f486, 0x3fce25f281a2b684, // -0.97187, 0.23553 + 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404 + 0xbfef1f6941259d7a, 0x3fcdc4355db40195, // -0.97258, 0.23255 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef2537e0a71f9f, 0x3fcd6265dd3f27e3, // -0.97329, 0.22957 + 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807 + 0xbfef2af349e17507, 0x3fcd00843c99c5f9, // -0.97399, 0.22658 + 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 + 0xbfef309b794b719f, 0x3fcc9e90b824a6a9, // -0.97468, 0.22359 + 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209 + 0xbfef36306b67c556, 0x3fcc3c8b8c4b9dd7, // -0.97536, 0.2206 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef3bb21cc4fe47, 0x3fcbda74f5856330, // -0.97604, 0.2176 + 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611 + 0xbfef412089fd8adc, 0x3fcb784d30536cda, // -0.9767, 0.21461 + 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 + 0xbfef467bafb7bbe0, 0x3fcb16147941ca2a, // -0.97735, 0.21161 + 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011 + 0xbfef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // -0.978, 0.20861 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef50f81785c6b9, 0x3fca517127e3dabc, // -0.97863, 0.20561 + 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411 + 0xbfef56195321c090, 0x3fc9ef0706e35a35, // -0.97926, 0.20261 + 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 + 0xbfef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // -0.97988, 0.1996 + 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981 + 0xbfef6021c9f148c2, 0x3fc92a0303c8194f, // -0.98048, 0.19659 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef6508fef47bd5, 0x3fc8c7699b34ca7e, // -0.98108, 0.19359 + 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208 + 0xbfef69dcd652f5de, 0x3fc864c0e9b2b6cf, // -0.98167, 0.19057 + 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 + 0xbfef6e9d4d1262ca, 0x3fc802092c1d744b, // -0.98225, 0.18756 + 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606 + 0xbfef734a60446279, 0x3fc79f429f59e11d, // -0.98282, 0.18455 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef77e40d068a90, 0x3fc73c6d8055fe0a, // -0.98339, 0.18153 + 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002 + 0xbfef7c6a50826840, 0x3fc6d98a0c08c8da, // -0.98394, 0.17851 + 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 + 0xbfef80dd27ed8204, 0x3fc676987f7216b8, // -0.98448, 0.17549 + 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398 + 0xbfef853c9089595e, 0x3fc61399179a6e94, // -0.98501, 0.17247 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef898887a36c84, 0x3fc5b08c1192e381, // -0.98554, 0.16945 + 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794 + 0xbfef8dc10a95380d, 0x3fc54d71aa74ef02, // -0.98605, 0.16643 + 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 + 0xbfef91e616c43891, 0x3fc4ea4a1f624b61, // -0.98656, 0.1634 + 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189 + 0xbfef95f7a9a1ec47, 0x3fc48715ad84cdf5, // -0.98706, 0.16037 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfef99f5c0abd496, 0x3fc423d4920e4166, // -0.98754, 0.15734 + 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583 + 0xbfef9de0596b77a3, 0x3fc3c0870a383ff6, // -0.98802, 0.15431 + 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 + 0xbfefa1b7717661d5, 0x3fc35d2d53440db2, // -0.98849, 0.15128 + 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976 + 0xbfefa57b066e2754, 0x3fc2f9c7aa7a72af, // -0.98895, 0.14825 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefa92b1600657c, 0x3fc296564d2b953e, // -0.9894, 0.14521 + 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437 + 0xbfefacc79de6c44f, 0x3fc232d978aed413, // -0.98984, 0.14218 + 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 + 0xbfefb0509be6f7db, 0x3fc1cf516a62a077, // -0.99027, 0.13914 + 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762 + 0xbfefb3c60dd2c199, 0x3fc16bbe5fac5865, // -0.9907, 0.1361 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefb727f187f1c7, 0x3fc1082095f820b0, // -0.99111, 0.13306 + 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154 + 0xbfefba7644f068b5, 0x3fc0a4784ab8bf1d, // -0.99151, 0.13002 + 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 + 0xbfefbdb106021816, 0x3fc040c5bb67747e, // -0.99191, 0.12698 + 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545 + 0xbfefc0d832bf043a, 0x3fbfba124b07ad85, // -0.99229, 0.12393 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefc3ebc935454c, 0x3fbef2858d27561b, // -0.99267, 0.12089 + 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937 + 0xbfefc6ebc77f0887, 0x3fbe2ae5b8457f77, // -0.99303, 0.11784 + 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 + 0xbfefc9d82bc2915e, 0x3fbd633347858ce4, // -0.99339, 0.11479 + 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327 + 0xbfefccb0f4323aa3, 0x3fbc9b6eb6165c42, // -0.99374, 0.11175 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefcf761f0c77a3, 0x3fbbd3987f31fa0e, // -0.99407, 0.1087 + 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717 + 0xbfefd227aa9bd53b, 0x3fbb0bb11e1d5559, // -0.9944, 0.10565 + 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 + 0xbfefd4c59536fae4, 0x3fba43b90e27f3c4, // -0.99472, 0.1026 + 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107 + 0xbfefd74fdd40abbf, 0x3fb97bb0caaba56f, // -0.99503, 0.099544 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefd9c68127c78c, 0x3fb8b398cf0c38e0, // -0.99533, 0.09649 + 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963 + 0xbfefdc297f674ba9, 0x3fb7eb7196b72ee4, // -0.99563, 0.093436 + 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 + 0xbfefde78d68653fd, 0x3fb7233b9d236e71, // -0.99591, 0.090381 + 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854 + 0xbfefe0b485181be3, 0x3fb65af75dd0f87b, // -0.99618, 0.087326 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe2dc89bbff08, 0x3fb592a554489bc8, // -0.99644, 0.084269 + 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274 + 0xbfefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // -0.9967, 0.081211 + 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 + 0xbfefe6f18ff42c84, 0x3fb401d9d0e3a507, // -0.99694, 0.078153 + 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624 + 0xbfefe8de8f03d75c, 0x3fb339614e41ffa5, // -0.99718, 0.075094 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfefeab7df1c6005, 0x3fb270dcefdfc45b, // -0.9974, 0.072035 + 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505 + 0xbfefec7d7f19cffc, 0x3fb1a84d316d4f8a, // -0.99762, 0.068974 + 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 + 0xbfefee2f6de455ba, 0x3fb0dfb28ea201e6, // -0.99783, 0.065913 + 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383 + 0xbfefefcdaa704562, 0x3fb0170d833bf421, // -0.99802, 0.062852 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff15833be1965, 0x3fae9cbd15ff5527, // -0.99821, 0.05979 + 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258 + 0xbfeff2cf08da7321, 0x3fad0b4c436f91d0, // -0.99839, 0.056727 + 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 + 0xbfeff43228de1b77, 0x3fab79c986698b78, // -0.99856, 0.053664 + 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132 + 0xbfeff58192ee0358, 0x3fa9e835d6993c87, // -0.99872, 0.0506 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeff6bd463b444d, 0x3fa856922bb513c1, // -0.99887, 0.047535 + 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003 + 0xbfeff7e5420320f9, 0x3fa6c4df7d7d5b84, // -0.99901, 0.044471 + 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 + 0xbfeff8f9858f058b, 0x3fa5331ec3bba0eb, // -0.99914, 0.041406 + 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873 + 0xbfeff9fa10348837, 0x3fa3a150f6421afc, // -0.99926, 0.03834 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffae6e1556998, 0x3fa20f770ceb11c6, // -0.99938, 0.035274 + 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741 + 0xbfeffbbff85f9515, 0x3fa07d91ff984580, // -0.99948, 0.032208 + 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 + 0xbfeffc8554cd213a, 0x3f9dd7458c64ab39, // -0.99958, 0.029142 + 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608 + 0xbfeffd36f624500c, 0x3f9ab354b1504fca, // -0.99966, 0.026075 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfeffdd4dbf78f52, 0x3f978f535ddc9f03, // -0.99974, 0.023008 + 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474 + 0xbfeffe5f05e578db, 0x3f946b4381fce81c, // -0.9998, 0.01994 + 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 + 0xbfeffed57398d2b7, 0x3f9147270dad7132, // -0.99986, 0.016873 + 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339 + 0xbfefff3824c88f6f, 0x3f8c45ffe1e48ad9, // -0.9999, 0.013805 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbfefff871937ce2f, 0x3f85fda037ac05e0, // -0.99994, 0.010738 + 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038 + 0xbfefffc250b5daef, 0x3f7f6a65f9a2a3c5, // -0.99997, 0.0076698 + 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 + 0xbfefffe9cb1e2e8d, 0x3f72d97822f996bc, // -0.99999, 0.0046019 + 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068 + 0xbfeffffd88586ee6, 0x3f5921faaee6472d, // -1, 0.001534 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfeffffd88586ee6, 0xbf5921faaee6472d, // -1, -0.001534 + 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068 + 0xbfefffe9cb1e2e8d, 0xbf72d97822f996bc, // -0.99999,-0.0046019 + 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 + 0xbfefffc250b5daef, 0xbf7f6a65f9a2a3c5, // -0.99997,-0.0076698 + 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038 + 0xbfefff871937ce2f, 0xbf85fda037ac05e0, // -0.99994, -0.010738 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 + 0xbfefff3824c88f6f, 0xbf8c45ffe1e48ad9, // -0.9999, -0.013805 + 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339 + 0xbfeffed57398d2b7, 0xbf9147270dad7132, // -0.99986, -0.016873 + 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 + 0xbfeffe5f05e578db, 0xbf946b4381fce81c, // -0.9998, -0.01994 + 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474 + 0xbfeffdd4dbf78f52, 0xbf978f535ddc9f03, // -0.99974, -0.023008 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 + 0xbfeffd36f624500c, 0xbf9ab354b1504fca, // -0.99966, -0.026075 + 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608 + 0xbfeffc8554cd213a, 0xbf9dd7458c64ab39, // -0.99958, -0.029142 + 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 + 0xbfeffbbff85f9515, 0xbfa07d91ff984580, // -0.99948, -0.032208 + 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741 + 0xbfeffae6e1556998, 0xbfa20f770ceb11c6, // -0.99938, -0.035274 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 + 0xbfeff9fa10348837, 0xbfa3a150f6421afc, // -0.99926, -0.03834 + 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873 + 0xbfeff8f9858f058b, 0xbfa5331ec3bba0eb, // -0.99914, -0.041406 + 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 + 0xbfeff7e5420320f9, 0xbfa6c4df7d7d5b84, // -0.99901, -0.044471 + 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003 + 0xbfeff6bd463b444d, 0xbfa856922bb513c1, // -0.99887, -0.047535 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 + 0xbfeff58192ee0358, 0xbfa9e835d6993c87, // -0.99872, -0.0506 + 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132 + 0xbfeff43228de1b77, 0xbfab79c986698b78, // -0.99856, -0.053664 + 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 + 0xbfeff2cf08da7321, 0xbfad0b4c436f91d0, // -0.99839, -0.056727 + 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258 + 0xbfeff15833be1965, 0xbfae9cbd15ff5527, // -0.99821, -0.05979 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 + 0xbfefefcdaa704562, 0xbfb0170d833bf421, // -0.99802, -0.062852 + 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383 + 0xbfefee2f6de455ba, 0xbfb0dfb28ea201e6, // -0.99783, -0.065913 + 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 + 0xbfefec7d7f19cffc, 0xbfb1a84d316d4f8a, // -0.99762, -0.068974 + 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505 + 0xbfefeab7df1c6005, 0xbfb270dcefdfc45b, // -0.9974, -0.072035 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 + 0xbfefe8de8f03d75c, 0xbfb339614e41ffa5, // -0.99718, -0.075094 + 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624 + 0xbfefe6f18ff42c84, 0xbfb401d9d0e3a507, // -0.99694, -0.078153 + 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 + 0xbfefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // -0.9967, -0.081211 + 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274 + 0xbfefe2dc89bbff08, 0xbfb592a554489bc8, // -0.99644, -0.084269 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 + 0xbfefe0b485181be3, 0xbfb65af75dd0f87b, // -0.99618, -0.087326 + 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854 + 0xbfefde78d68653fd, 0xbfb7233b9d236e71, // -0.99591, -0.090381 + 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 + 0xbfefdc297f674ba9, 0xbfb7eb7196b72ee4, // -0.99563, -0.093436 + 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963 + 0xbfefd9c68127c78c, 0xbfb8b398cf0c38e0, // -0.99533, -0.09649 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 + 0xbfefd74fdd40abbf, 0xbfb97bb0caaba56f, // -0.99503, -0.099544 + 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107 + 0xbfefd4c59536fae4, 0xbfba43b90e27f3c4, // -0.99472, -0.1026 + 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 + 0xbfefd227aa9bd53b, 0xbfbb0bb11e1d5559, // -0.9944, -0.10565 + 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717 + 0xbfefcf761f0c77a3, 0xbfbbd3987f31fa0e, // -0.99407, -0.1087 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefccb0f4323aa3, 0xbfbc9b6eb6165c42, // -0.99374, -0.11175 + 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327 + 0xbfefc9d82bc2915e, 0xbfbd633347858ce4, // -0.99339, -0.11479 + 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 + 0xbfefc6ebc77f0887, 0xbfbe2ae5b8457f77, // -0.99303, -0.11784 + 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937 + 0xbfefc3ebc935454c, 0xbfbef2858d27561b, // -0.99267, -0.12089 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefc0d832bf043a, 0xbfbfba124b07ad85, // -0.99229, -0.12393 + 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545 + 0xbfefbdb106021816, 0xbfc040c5bb67747e, // -0.99191, -0.12698 + 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 + 0xbfefba7644f068b5, 0xbfc0a4784ab8bf1d, // -0.99151, -0.13002 + 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154 + 0xbfefb727f187f1c7, 0xbfc1082095f820b0, // -0.99111, -0.13306 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefb3c60dd2c199, 0xbfc16bbe5fac5865, // -0.9907, -0.1361 + 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762 + 0xbfefb0509be6f7db, 0xbfc1cf516a62a077, // -0.99027, -0.13914 + 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 + 0xbfefacc79de6c44f, 0xbfc232d978aed413, // -0.98984, -0.14218 + 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437 + 0xbfefa92b1600657c, 0xbfc296564d2b953e, // -0.9894, -0.14521 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfefa57b066e2754, 0xbfc2f9c7aa7a72af, // -0.98895, -0.14825 + 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976 + 0xbfefa1b7717661d5, 0xbfc35d2d53440db2, // -0.98849, -0.15128 + 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 + 0xbfef9de0596b77a3, 0xbfc3c0870a383ff6, // -0.98802, -0.15431 + 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583 + 0xbfef99f5c0abd496, 0xbfc423d4920e4166, // -0.98754, -0.15734 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef95f7a9a1ec47, 0xbfc48715ad84cdf5, // -0.98706, -0.16037 + 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189 + 0xbfef91e616c43891, 0xbfc4ea4a1f624b61, // -0.98656, -0.1634 + 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 + 0xbfef8dc10a95380d, 0xbfc54d71aa74ef02, // -0.98605, -0.16643 + 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794 + 0xbfef898887a36c84, 0xbfc5b08c1192e381, // -0.98554, -0.16945 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef853c9089595e, 0xbfc61399179a6e94, // -0.98501, -0.17247 + 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398 + 0xbfef80dd27ed8204, 0xbfc676987f7216b8, // -0.98448, -0.17549 + 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 + 0xbfef7c6a50826840, 0xbfc6d98a0c08c8da, // -0.98394, -0.17851 + 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002 + 0xbfef77e40d068a90, 0xbfc73c6d8055fe0a, // -0.98339, -0.18153 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef734a60446279, 0xbfc79f429f59e11d, // -0.98282, -0.18455 + 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606 + 0xbfef6e9d4d1262ca, 0xbfc802092c1d744b, // -0.98225, -0.18756 + 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 + 0xbfef69dcd652f5de, 0xbfc864c0e9b2b6cf, // -0.98167, -0.19057 + 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208 + 0xbfef6508fef47bd5, 0xbfc8c7699b34ca7e, // -0.98108, -0.19359 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef6021c9f148c2, 0xbfc92a0303c8194f, // -0.98048, -0.19659 + 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981 + 0xbfef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // -0.97988, -0.1996 + 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 + 0xbfef56195321c090, 0xbfc9ef0706e35a35, // -0.97926, -0.20261 + 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411 + 0xbfef50f81785c6b9, 0xbfca517127e3dabc, // -0.97863, -0.20561 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // -0.978, -0.20861 + 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011 + 0xbfef467bafb7bbe0, 0xbfcb16147941ca2a, // -0.97735, -0.21161 + 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 + 0xbfef412089fd8adc, 0xbfcb784d30536cda, // -0.9767, -0.21461 + 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611 + 0xbfef3bb21cc4fe47, 0xbfcbda74f5856330, // -0.97604, -0.2176 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef36306b67c556, 0xbfcc3c8b8c4b9dd7, // -0.97536, -0.2206 + 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209 + 0xbfef309b794b719f, 0xbfcc9e90b824a6a9, // -0.97468, -0.22359 + 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 + 0xbfef2af349e17507, 0xbfcd00843c99c5f9, // -0.97399, -0.22658 + 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807 + 0xbfef2537e0a71f9f, 0xbfcd6265dd3f27e3, // -0.97329, -0.22957 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef1f6941259d7a, 0xbfcdc4355db40195, // -0.97258, -0.23255 + 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404 + 0xbfef19876ef1f486, 0xbfce25f281a2b684, // -0.97187, -0.23553 + 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 + 0xbfef13926dad024e, 0xbfce879d0cc0fdaf, // -0.97114, -0.23851 + 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24 + 0xbfef0d8a410379c5, 0xbfcee934c2d006c7, // -0.9704, -0.24149 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfef076eecade0fa, 0xbfcf4ab9679c9f5c, // -0.96966, -0.24447 + 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596 + 0xbfef014074708ed3, 0xbfcfac2abeff57ff, // -0.9689, -0.24744 + 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 + 0xbfeefafedc1ba8b7, 0xbfd006c4466e54af, // -0.96814, -0.25041 + 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519 + 0xbfeef4aa278b2032, 0xbfd037694a928cac, // -0.96737, -0.25338 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeeee425aa6b09a, 0xbfd068044deab002, // -0.96658, -0.25635 + 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783 + 0xbfeee7c77961dc9e, 0xbfd09895327b465e, // -0.96579, -0.25931 + 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 + 0xbfeee13987bbebdc, 0xbfd0c91bda4f158d, // -0.96499, -0.26227 + 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375 + 0xbfeeda9889bfe86a, 0xbfd0f998277733f7, // -0.96418, -0.26523 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeed3e483849c51, 0xbfd12a09fc0b1b12, // -0.96337, -0.26819 + 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967 + 0xbfeecd1d792c8f10, 0xbfd15a713a28b9d9, // -0.96254, -0.27115 + 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 + 0xbfeec6436ee60309, 0xbfd18acdc3f4873a, // -0.9617, -0.2741 + 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557 + 0xbfeebf5668eaf2ef, 0xbfd1bb1f7b999480, // -0.96086, -0.27705 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfeeb8566b810f2a, 0xbfd1eb6643499fbb, // -0.96, -0.27999 + 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146 + 0xbfeeb1437af9bb34, 0xbfd21ba1fd3d2623, // -0.95914, -0.28294 + 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 + 0xbfeeaa1d9bb20af3, 0xbfd24bd28bb37672, // -0.95827, -0.28588 + 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735 + 0xbfeea2e4d212c000, 0xbfd27bf7d0f2c346, // -0.95738, -0.28882 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee9b99229046f8, 0xbfd2ac11af483572, // -0.95649, -0.29175 + 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322 + 0xbfee943a91aab4b4, 0xbfd2dc200907fe51, // -0.95559, -0.29469 + 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 + 0xbfee8cc923edc388, 0xbfd30c22c08d6a13, // -0.95469, -0.29762 + 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908 + 0xbfee8544ddf0d075, 0xbfd33c19b83af207, // -0.95377, -0.30054 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee7dadc456d850, 0xbfd36c04d27a4edf, // -0.95284, -0.30347 + 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493 + 0xbfee7603dbce74e9, 0xbfd39be3f1bc8aef, // -0.95191, -0.30639 + 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 + 0xbfee6e472911da27, 0xbfd3cbb6f87a146e, // -0.95096, -0.30931 + 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077 + 0xbfee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // -0.95001, -0.31222 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee5e95781ebf1c, 0xbfd42b38466e2928, // -0.94905, -0.31514 + 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659 + 0xbfee56a083968eb1, 0xbfd45ae652bb2800, // -0.94807, -0.31805 + 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 + 0xbfee4e98d836c0af, 0xbfd48a87d0b07fd7, // -0.94709, -0.32096 + 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241 + 0xbfee467e7af35f23, 0xbfd4ba1ca2eca31c, // -0.94611, -0.32386 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee3e5170cbfc46, 0xbfd4e9a4ac15d520, // -0.94511, -0.32676 + 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821 + 0xbfee3611becbaf69, 0xbfd5191fceda3c35, // -0.9441, -0.32966 + 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 + 0xbfee2dbf6a0911d9, 0xbfd5488dedeff3be, // -0.94308, -0.33255 + 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334 + 0xbfee255a77a63bb8, 0xbfd577eeec151e47, // -0.94206, -0.33545 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // -0.94103, -0.33833 + 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978 + 0xbfee1458cec1ad83, 0xbfd5d68910aee686, // -0.93998, -0.34122 + 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 + 0xbfee0bbc22bd8349, 0xbfd605c1fcc88f63, // -0.93893, -0.3441 + 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554 + 0xbfee030cee1435b8, 0xbfd634ed533be58e, // -0.93787, -0.34698 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfedfa4b3621271d, 0xbfd6640af6f03d9e, // -0.9368, -0.34986 + 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129 + 0xbfedf177004b2534, 0xbfd6931acad55f51, // -0.93573, -0.35273 + 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 + 0xbfede890520465ce, 0xbfd6c21cb1e39771, // -0.93464, -0.3556 + 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703 + 0xbfeddf9730ca837b, 0xbfd6f1108f1bc9c5, // -0.93354, -0.35846 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedd68ba2267a25, 0xbfd71ff6458782ec, // -0.93244, -0.36133 + 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276 + 0xbfedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // -0.93133, -0.36418 + 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 + 0xbfedc43d52fcb453, 0xbfd77d96ca4b73a6, // -0.93021, -0.36704 + 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847 + 0xbfedbafa9dc1b78d, 0xbfd7ac515ee2b172, // -0.92907, -0.36989 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfedb1a591b20c38, 0xbfd7dafd592ba621, // -0.92794, -0.37274 + 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416 + 0xbfeda83e348f613b, 0xbfd8099a9c5c362d, // -0.92679, -0.37559 + 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 + 0xbfed9ec48c26b1f3, 0xbfd838290bb359c8, // -0.92563, -0.37843 + 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985 + 0xbfed95389e50429b, 0xbfd866a88a792ea0, // -0.92447, -0.38127 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed8b9a70ef9cb4, 0xbfd89518fbff098e, // -0.92329, -0.3841 + 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552 + 0xbfed81ea09f38b63, 0xbfd8c37a439f884f, // -0.92211, -0.38693 + 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 + 0xbfed78276f5617c6, 0xbfd8f1cc44bea329, // -0.92092, -0.38976 + 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117 + 0xbfed6e52a71c8547, 0xbfd9200ee2c9be97, // -0.91972, -0.39258 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed646bb7574de5, 0xbfd94e420137bce3, // -0.91851, -0.3954 + 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681 + 0xbfed5a72a6221e73, 0xbfd97c6583890fc2, // -0.91729, -0.39822 + 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 + 0xbfed506779a3d2d9, 0xbfd9aa794d47c9ee, // -0.91606, -0.40103 + 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243 + 0xbfed464a380e7242, 0xbfd9d87d4207b0ab, // -0.91483, -0.40384 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed3c1ae79f2b4e, 0xbfda067145664d57, // -0.91359, -0.40664 + 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804 + 0xbfed31d98e9e503a, 0xbfda34553b0afee5, // -0.91234, -0.40944 + 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 + 0xbfed2786335f52fc, 0xbfda622906a70b63, // -0.91107, -0.41224 + 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364 + 0xbfed1d20dc40c15c, 0xbfda8fec8bf5b166, // -0.90981, -0.41503 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfed12a98fac410c, 0xbfdabd9faebc3980, // -0.90853, -0.41782 + 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922 + 0xbfed082054168bac, 0xbfdaeb4252ca07ab, // -0.90724, -0.42061 + 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 + 0xbfecfd852fff6ad4, 0xbfdb18d45bf8aca6, // -0.90595, -0.42339 + 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478 + 0xbfecf2d829f1b40e, 0xbfdb4655ae2bf757, // -0.90464, -0.42617 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfece819488344ce, 0xbfdb73c62d520624, // -0.90333, -0.42894 + 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033 + 0xbfecdd489254fe65, 0xbfdba125bd63583e, // -0.90201, -0.43171 + 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 + 0xbfecd2660e12c1e6, 0xbfdbce744262deee, // -0.90068, -0.43448 + 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586 + 0xbfecc771c2736c09, 0xbfdbfbb1a05e0edc, // -0.89935, -0.43724 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfecbc6bb638d10b, 0xbfdc28ddbb6cf145, // -0.898, -0.43999 + 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137 + 0xbfecb153f02fb87d, 0xbfdc55f877b23537, // -0.89665, -0.44275 + 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 + 0xbfeca62a772fd919, 0xbfdc8301b95b40c2, // -0.89528, -0.4455 + 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687 + 0xbfec9aef521bd480, 0xbfdcaff964a0421d, // -0.89391, -0.44824 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec8fa287e13305, 0xbfdcdcdf5dc440ce, // -0.89253, -0.45098 + 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235 + 0xbfec84441f785f61, 0xbfdd09b389152ec1, // -0.89115, -0.45372 + 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 + 0xbfec78d41fe4a267, 0xbfdd3675caebf962, // -0.88975, -0.45645 + 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781 + 0xbfec6d5290341eb2, 0xbfdd632607ac9aa9, // -0.88835, -0.45918 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec61bf777fcc48, 0xbfdd8fc423c62a25, // -0.88693, -0.4619 + 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326 + 0xbfec561adceb743e, 0xbfddbc5003b2edf8, // -0.88551, -0.46462 + 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 + 0xbfec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // -0.88408, -0.46733 + 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869 + 0xbfec3e9d3ee7d262, 0xbfde1530a12779f4, // -0.88264, -0.47004 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec32c449f60831, 0xbfde418527dc4ffa, // -0.8812, -0.47275 + 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741 + 0xbfec26d9f01f2eaf, 0xbfde6dc704be97e2, // -0.87974, -0.47545 + 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 + 0xbfec1ade38bce19b, 0xbfde99f61c817eda, // -0.87828, -0.47815 + 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949 + 0xbfec0ed12b3372e9, 0xbfdec61253e3c61b, // -0.87681, -0.48084 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfec02b2cef1e641, 0xbfdef21b8fafd3b5, // -0.87533, -0.48353 + 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487 + 0xbfebf6832b71ec5b, 0xbfdf1e11b4bbc35c, // -0.87384, -0.48621 + 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 + 0xbfebea424837de6d, 0xbfdf49f4a7e97729, // -0.87235, -0.48889 + 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023 + 0xbfebddf02cd2b983, 0xbfdf75c44e26a852, // -0.87084, -0.49156 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfebd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // -0.86933, -0.49423 + 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557 + 0xbfebc5186bf8361d, 0xbfdfcd2947c1ff57, // -0.86781, -0.4969 + 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 + 0xbfebb892d5d5dad5, 0xbfdff8be6537615e, // -0.86628, -0.49956 + 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089 + 0xbfebabfc262e6586, 0xbfe0121fe4f56d2c, // -0.86474, -0.50221 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb9f5464c5bffc, 0xbfe027d6ad83287e, // -0.8632, -0.50486 + 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619 + 0xbfeb929b996a5b7f, 0xbfe03d837edff370, // -0.86165, -0.50751 + 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 + 0xbfeb85d1cbf52c02, 0xbfe053264bad0483, // -0.86009, -0.51015 + 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147 + 0xbfeb78f70449a34b, 0xbfe068bf0691c028, // -0.85852, -0.51279 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb6c0b4a55ac17, 0xbfe07e4da23bc102, // -0.85694, -0.51542 + 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673 + 0xbfeb5f0ea611a532, 0xbfe093d2115ee018, // -0.85535, -0.51804 + 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 + 0xbfeb52011f805c92, 0xbfe0a94c46b53d0b, // -0.85376, -0.52067 + 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198 + 0xbfeb44e2beaf0a61, 0xbfe0bebc34ff4646, // -0.85216, -0.52328 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb37b38bb54c09, 0xbfe0d421cf03c12b, // -0.85055, -0.5259 + 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272 + 0xbfeb2a738eb51f33, 0xbfe0e97d078fd23b, // -0.84893, -0.5285 + 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 + 0xbfeb1d22cfdadcc6, 0xbfe0fecdd1770537, // -0.84731, -0.5311 + 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324 + 0xbfeb0fc1575d33db, 0xbfe114141f935545, // -0.84567, -0.5337 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfeb024f2d7d24a9, 0xbfe1294fe4c5350a, // -0.84403, -0.53629 + 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759 + 0xbfeaf4cc5a85fb73, 0xbfe13e8113f396c1, // -0.84238, -0.53888 + 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 + 0xbfeae738e6cd4b67, 0xbfe153a7a00bf453, // -0.84073, -0.54146 + 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275 + 0xbfead994dab2e979, 0xbfe168c37c025764, // -0.83906, -0.54404 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfeacbe03ea0e73b, 0xbfe17dd49ad16161, // -0.83739, -0.54661 + 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789 + 0xbfeabe1b1b0b8dac, 0xbfe192daef7a5386, // -0.83571, -0.54918 + 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 + 0xbfeab045787157ff, 0xbfe1a7d66d0516e6, // -0.83402, -0.55174 + 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302 + 0xbfeaa25f5f5aee60, 0xbfe1bcc706804467, // -0.83232, -0.55429 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea9468d85b20ae, 0xbfe1d1acaf012cc2, // -0.83062, -0.55685 + 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812 + 0xbfea8661ec0ee133, 0xbfe1e68759a3e074, // -0.8289, -0.55939 + 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 + 0xbfea784aa31d3f55, 0xbfe1fb56f98b37b8, // -0.82718, -0.56193 + 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632 + 0xbfea6a230637623b, 0xbfe2101b81e0da78, // -0.82546, -0.56447 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea5beb1e188375, 0xbfe224d4e5d5482e, // -0.82372, -0.567 + 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826 + 0xbfea4da2f385e997, 0xbfe23983189fdfd5, // -0.82198, -0.56952 + 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 + 0xbfea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // -0.82023, -0.57204 + 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733 + 0xbfea30e1fa4cbf81, 0xbfe262bdb7b795a2, // -0.81847, -0.57455 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfea22693d62ccb9, 0xbfe2774a0a961612, // -0.8167, -0.57706 + 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831 + 0xbfea13e0617e4ec7, 0xbfe28bcaf96d94ba, // -0.81493, -0.57956 + 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 + 0xbfea05476f967bb5, 0xbfe2a040779843fb, // -0.81314, -0.58206 + 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331 + 0xbfe9f69e70ac75bc, 0xbfe2b4aa787764c4, // -0.81135, -0.58455 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9e7e56dcb45bd, 0xbfe2c908ef734e57, // -0.80956, -0.58704 + 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828 + 0xbfe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // -0.80775, -0.58952 + 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 + 0xbfe9ca438080eadb, 0xbfe2f1a30d86773a, // -0.80594, -0.592 + 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323 + 0xbfe9bb5aa85f2098, 0xbfe305de9b921a94, // -0.80412, -0.59447 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe9ac61f0d4e247, 0xbfe31a0e6da35e44, // -0.80229, -0.59693 + 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816 + 0xbfe99d59631e65d5, 0xbfe32e3277467d6b, // -0.80046, -0.59939 + 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 + 0xbfe98e410881a600, 0xbfe3424aac0ef7d6, // -0.79861, -0.60184 + 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307 + 0xbfe97f18ea4e5c9e, 0xbfe35656ff9799ae, // -0.79676, -0.60429 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe96fe111ddfce0, 0xbfe36a576582831b, // -0.79491, -0.60673 + 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795 + 0xbfe960998893ad8c, 0xbfe37e4bd1792fe2, // -0.79304, -0.60917 + 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 + 0xbfe9514257dc4335, 0xbfe39234372c7f04, // -0.79117, -0.6116 + 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281 + 0xbfe941db892e3a65, 0xbfe3a6108a54ba58, // -0.78929, -0.61402 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe932652609b1cf, 0xbfe3b9e0beb19e18, // -0.7874, -0.61644 + 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765 + 0xbfe922df37f8646a, 0xbfe3cda4c80a6076, // -0.78551, -0.61885 + 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 + 0xbfe91349c88da398, 0xbfe3e15c9a2db922, // -0.7836, -0.62126 + 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246 + 0xbfe903a4e1665133, 0xbfe3f50828f1e8d2, // -0.78169, -0.62366 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8f3f08c28d9ac, 0xbfe408a76834c0c0, // -0.77978, -0.62606 + 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725 + 0xbfe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // -0.77785, -0.62845 + 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 + 0xbfe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // -0.77592, -0.63083 + 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202 + 0xbfe8c47758fa71cb, 0xbfe4433ad0117b1d, // -0.77398, -0.63321 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe8b485aca2a468, 0xbfe456a858917046, // -0.77204, -0.63558 + 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676 + 0xbfe8a484c3031d50, 0xbfe46a095557a0f1, // -0.77008, -0.63794 + 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 + 0xbfe89474a5fb0a84, 0xbfe47d5dba6fde01, // -0.76812, -0.6403 + 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148 + 0xbfe884555f72fa6b, 0xbfe490a57bedbcdf, // -0.76615, -0.64266 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // -0.76418, -0.645 + 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618 + 0xbfe863e97db3d95a, 0xbfe4b70ee48fb869, // -0.7622, -0.64735 + 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 + 0xbfe8539cf67c9029, 0xbfe4ca30740218a3, // -0.76021, -0.64968 + 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085 + 0xbfe843416dc4cce2, 0xbfe4dd453076b064, // -0.75821, -0.65201 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // -0.75621, -0.65433 + 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549 + 0xbfe8225d803964e5, 0xbfe503480159ded2, // -0.75419, -0.65665 + 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 + 0xbfe811d52faf94dc, 0xbfe51635fe5601d7, // -0.75218, -0.65896 + 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011 + 0xbfe8013e0638e795, 0xbfe52916f96f8388, // -0.75015, -0.66127 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7f0980e113978, 0xbfe53beae7012abe, // -0.74812, -0.66356 + 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471 + 0xbfe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // -0.74608, -0.66586 + 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 + 0xbfe7cf1fdacbf179, 0xbfe5616b6b204e6e, // -0.74403, -0.66814 + 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928 + 0xbfe7be4db453a27c, 0xbfe57417ea8bb75c, // -0.74198, -0.67042 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // -0.73992, -0.67269 + 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383 + 0xbfe79c7d8198e56e, 0xbfe599492a81ffbc, // -0.73785, -0.67496 + 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 + 0xbfe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // -0.73578, -0.67722 + 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835 + 0xbfe77a730cbb9100, 0xbfe5be451f8bf980, // -0.7337, -0.67948 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe7695813b9b594, 0xbfe5d0af016ed1d4, // -0.73161, -0.68172 + 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285 + 0xbfe7582ea9b9a329, 0xbfe5e30b6e6877f3, // -0.72951, -0.68397 + 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 + 0xbfe746f6d9516d59, 0xbfe5f55a5b2576f8, // -0.72741, -0.6862 + 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732 + 0xbfe735b0ad2009b2, 0xbfe6079bbc5aadfa, // -0.7253, -0.68843 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe7245c2fcd492a, 0xbfe619cf86c55702, // -0.72319, -0.69065 + 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176 + 0xbfe712f96c09d18d, 0xbfe62bf5af2b0dfd, // -0.72107, -0.69287 + 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 + 0xbfe701886c8f16e6, 0xbfe63e0e2a59d7aa, // -0.71894, -0.69508 + 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618 + 0xbfe6f0093c1f54de, 0xbfe65018ed28287f, // -0.7168, -0.69728 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6de7be585881d, 0xbfe66215ec74eb91, // -0.71466, -0.69947 + 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057 + 0xbfe6cce07395679f, 0xbfe674051d27896c, // -0.71251, -0.70166 + 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 + 0xbfe6bb36f12b5e06, 0xbfe685e6742feeef, // -0.71035, -0.70385 + 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493 + 0xbfe6a97f692c82ea, 0xbfe697b9e686941c, // -0.70819, -0.70602 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe697b9e686941c, 0xbfe6a97f692c82ea, // -0.70602, -0.70819 + 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927 + 0xbfe685e6742feeef, 0xbfe6bb36f12b5e06, // -0.70385, -0.71035 + 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 + 0xbfe674051d27896c, 0xbfe6cce07395679f, // -0.70166, -0.71251 + 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358 + 0xbfe66215ec74eb91, 0xbfe6de7be585881d, // -0.69947, -0.71466 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe65018ed28287f, 0xbfe6f0093c1f54de, // -0.69728, -0.7168 + 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787 + 0xbfe63e0e2a59d7aa, 0xbfe701886c8f16e6, // -0.69508, -0.71894 + 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 + 0xbfe62bf5af2b0dfd, 0xbfe712f96c09d18d, // -0.69287, -0.72107 + 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213 + 0xbfe619cf86c55702, 0xbfe7245c2fcd492a, // -0.69065, -0.72319 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe6079bbc5aadfa, 0xbfe735b0ad2009b2, // -0.68843, -0.7253 + 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636 + 0xbfe5f55a5b2576f8, 0xbfe746f6d9516d59, // -0.6862, -0.72741 + 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 + 0xbfe5e30b6e6877f3, 0xbfe7582ea9b9a329, // -0.68397, -0.72951 + 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056 + 0xbfe5d0af016ed1d4, 0xbfe7695813b9b594, // -0.68172, -0.73161 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe5be451f8bf980, 0xbfe77a730cbb9100, // -0.67948, -0.7337 + 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474 + 0xbfe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // -0.67722, -0.73578 + 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 + 0xbfe599492a81ffbc, 0xbfe79c7d8198e56e, // -0.67496, -0.73785 + 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889 + 0xbfe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // -0.67269, -0.73992 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe57417ea8bb75c, 0xbfe7be4db453a27c, // -0.67042, -0.74198 + 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301 + 0xbfe5616b6b204e6e, 0xbfe7cf1fdacbf179, // -0.66814, -0.74403 + 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 + 0xbfe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // -0.66586, -0.74608 + 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471 + 0xbfe53beae7012abe, 0xbfe7f0980e113978, // -0.66356, -0.74812 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe52916f96f8388, 0xbfe8013e0638e795, // -0.66127, -0.75015 + 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117 + 0xbfe51635fe5601d7, 0xbfe811d52faf94dc, // -0.65896, -0.75218 + 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 + 0xbfe503480159ded2, 0xbfe8225d803964e5, // -0.65665, -0.75419 + 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552 + 0xbfe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // -0.65433, -0.75621 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe4dd453076b064, 0xbfe843416dc4cce2, // -0.65201, -0.75821 + 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921 + 0xbfe4ca30740218a3, 0xbfe8539cf67c9029, // -0.64968, -0.76021 + 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 + 0xbfe4b70ee48fb869, 0xbfe863e97db3d95a, // -0.64735, -0.7622 + 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319 + 0xbfe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // -0.645, -0.76418 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe490a57bedbcdf, 0xbfe884555f72fa6b, // -0.64266, -0.76615 + 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714 + 0xbfe47d5dba6fde01, 0xbfe89474a5fb0a84, // -0.6403, -0.76812 + 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 + 0xbfe46a095557a0f1, 0xbfe8a484c3031d50, // -0.63794, -0.77008 + 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106 + 0xbfe456a858917046, 0xbfe8b485aca2a468, // -0.63558, -0.77204 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe4433ad0117b1d, 0xbfe8c47758fa71cb, // -0.63321, -0.77398 + 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495 + 0xbfe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // -0.63083, -0.77592 + 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 + 0xbfe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // -0.62845, -0.77785 + 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882 + 0xbfe408a76834c0c0, 0xbfe8f3f08c28d9ac, // -0.62606, -0.77978 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3f50828f1e8d2, 0xbfe903a4e1665133, // -0.62366, -0.78169 + 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265 + 0xbfe3e15c9a2db922, 0xbfe91349c88da398, // -0.62126, -0.7836 + 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 + 0xbfe3cda4c80a6076, 0xbfe922df37f8646a, // -0.61885, -0.78551 + 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646 + 0xbfe3b9e0beb19e18, 0xbfe932652609b1cf, // -0.61644, -0.7874 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe3a6108a54ba58, 0xbfe941db892e3a65, // -0.61402, -0.78929 + 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023 + 0xbfe39234372c7f04, 0xbfe9514257dc4335, // -0.6116, -0.79117 + 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 + 0xbfe37e4bd1792fe2, 0xbfe960998893ad8c, // -0.60917, -0.79304 + 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398 + 0xbfe36a576582831b, 0xbfe96fe111ddfce0, // -0.60673, -0.79491 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe35656ff9799ae, 0xbfe97f18ea4e5c9e, // -0.60429, -0.79676 + 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769 + 0xbfe3424aac0ef7d6, 0xbfe98e410881a600, // -0.60184, -0.79861 + 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 + 0xbfe32e3277467d6b, 0xbfe99d59631e65d5, // -0.59939, -0.80046 + 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138 + 0xbfe31a0e6da35e44, 0xbfe9ac61f0d4e247, // -0.59693, -0.80229 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe305de9b921a94, 0xbfe9bb5aa85f2098, // -0.59447, -0.80412 + 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503 + 0xbfe2f1a30d86773a, 0xbfe9ca438080eadb, // -0.592, -0.80594 + 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 + 0xbfe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // -0.58952, -0.80775 + 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866 + 0xbfe2c908ef734e57, 0xbfe9e7e56dcb45bd, // -0.58704, -0.80956 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe2b4aa787764c4, 0xbfe9f69e70ac75bc, // -0.58455, -0.81135 + 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225 + 0xbfe2a040779843fb, 0xbfea05476f967bb5, // -0.58206, -0.81314 + 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 + 0xbfe28bcaf96d94ba, 0xbfea13e0617e4ec7, // -0.57956, -0.81493 + 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581 + 0xbfe2774a0a961612, 0xbfea22693d62ccb9, // -0.57706, -0.8167 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe262bdb7b795a2, 0xbfea30e1fa4cbf81, // -0.57455, -0.81847 + 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935 + 0xbfe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // -0.57204, -0.82023 + 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 + 0xbfe23983189fdfd5, 0xbfea4da2f385e997, // -0.56952, -0.82198 + 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285 + 0xbfe224d4e5d5482e, 0xbfea5beb1e188375, // -0.567, -0.82372 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe2101b81e0da78, 0xbfea6a230637623b, // -0.56447, -0.82546 + 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632 + 0xbfe1fb56f98b37b8, 0xbfea784aa31d3f55, // -0.56193, -0.82718 + 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 + 0xbfe1e68759a3e074, 0xbfea8661ec0ee133, // -0.55939, -0.8289 + 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976 + 0xbfe1d1acaf012cc2, 0xbfea9468d85b20ae, // -0.55685, -0.83062 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe1bcc706804467, 0xbfeaa25f5f5aee60, // -0.55429, -0.83232 + 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317 + 0xbfe1a7d66d0516e6, 0xbfeab045787157ff, // -0.55174, -0.83402 + 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 + 0xbfe192daef7a5386, 0xbfeabe1b1b0b8dac, // -0.54918, -0.83571 + 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655 + 0xbfe17dd49ad16161, 0xbfeacbe03ea0e73b, // -0.54661, -0.83739 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe168c37c025764, 0xbfead994dab2e979, // -0.54404, -0.83906 + 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989 + 0xbfe153a7a00bf453, 0xbfeae738e6cd4b67, // -0.54146, -0.84073 + 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 + 0xbfe13e8113f396c1, 0xbfeaf4cc5a85fb73, // -0.53888, -0.84238 + 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321 + 0xbfe1294fe4c5350a, 0xbfeb024f2d7d24a9, // -0.53629, -0.84403 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe114141f935545, 0xbfeb0fc1575d33db, // -0.5337, -0.84567 + 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649 + 0xbfe0fecdd1770537, 0xbfeb1d22cfdadcc6, // -0.5311, -0.84731 + 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 + 0xbfe0e97d078fd23b, 0xbfeb2a738eb51f33, // -0.5285, -0.84893 + 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974 + 0xbfe0d421cf03c12b, 0xbfeb37b38bb54c09, // -0.5259, -0.85055 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe0bebc34ff4646, 0xbfeb44e2beaf0a61, // -0.52328, -0.85216 + 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296 + 0xbfe0a94c46b53d0b, 0xbfeb52011f805c92, // -0.52067, -0.85376 + 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 + 0xbfe093d2115ee018, 0xbfeb5f0ea611a532, // -0.51804, -0.85535 + 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615 + 0xbfe07e4da23bc102, 0xbfeb6c0b4a55ac17, // -0.51542, -0.85694 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe068bf0691c028, 0xbfeb78f70449a34b, // -0.51279, -0.85852 + 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593 + 0xbfe053264bad0483, 0xbfeb85d1cbf52c02, // -0.51015, -0.86009 + 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 + 0xbfe03d837edff370, 0xbfeb929b996a5b7f, // -0.50751, -0.86165 + 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242 + 0xbfe027d6ad83287e, 0xbfeb9f5464c5bffc, // -0.50486, -0.8632 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfe0121fe4f56d2c, 0xbfebabfc262e6586, // -0.50221, -0.86474 + 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551 + 0xbfdff8be6537615e, 0xbfebb892d5d5dad5, // -0.49956, -0.86628 + 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 + 0xbfdfcd2947c1ff57, 0xbfebc5186bf8361d, // -0.4969, -0.86781 + 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857 + 0xbfdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // -0.49423, -0.86933 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdf75c44e26a852, 0xbfebddf02cd2b983, // -0.49156, -0.87084 + 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716 + 0xbfdf49f4a7e97729, 0xbfebea424837de6d, // -0.48889, -0.87235 + 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 + 0xbfdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // -0.48621, -0.87384 + 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459 + 0xbfdef21b8fafd3b5, 0xbfec02b2cef1e641, // -0.48353, -0.87533 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfdec61253e3c61b, 0xbfec0ed12b3372e9, // -0.48084, -0.87681 + 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755 + 0xbfde99f61c817eda, 0xbfec1ade38bce19b, // -0.47815, -0.87828 + 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 + 0xbfde6dc704be97e2, 0xbfec26d9f01f2eaf, // -0.47545, -0.87974 + 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047 + 0xbfde418527dc4ffa, 0xbfec32c449f60831, // -0.47275, -0.8812 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfde1530a12779f4, 0xbfec3e9d3ee7d262, // -0.47004, -0.88264 + 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336 + 0xbfdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // -0.46733, -0.88408 + 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 + 0xbfddbc5003b2edf8, 0xbfec561adceb743e, // -0.46462, -0.88551 + 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622 + 0xbfdd8fc423c62a25, 0xbfec61bf777fcc48, // -0.4619, -0.88693 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdd632607ac9aa9, 0xbfec6d5290341eb2, // -0.45918, -0.88835 + 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905 + 0xbfdd3675caebf962, 0xbfec78d41fe4a267, // -0.45645, -0.88975 + 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 + 0xbfdd09b389152ec1, 0xbfec84441f785f61, // -0.45372, -0.89115 + 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184 + 0xbfdcdcdf5dc440ce, 0xbfec8fa287e13305, // -0.45098, -0.89253 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdcaff964a0421d, 0xbfec9aef521bd480, // -0.44824, -0.89391 + 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946 + 0xbfdc8301b95b40c2, 0xbfeca62a772fd919, // -0.4455, -0.89528 + 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 + 0xbfdc55f877b23537, 0xbfecb153f02fb87d, // -0.44275, -0.89665 + 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732 + 0xbfdc28ddbb6cf145, 0xbfecbc6bb638d10b, // -0.43999, -0.898 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdbfbb1a05e0edc, 0xbfecc771c2736c09, // -0.43724, -0.89935 + 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002 + 0xbfdbce744262deee, 0xbfecd2660e12c1e6, // -0.43448, -0.90068 + 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 + 0xbfdba125bd63583e, 0xbfecdd489254fe65, // -0.43171, -0.90201 + 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267 + 0xbfdb73c62d520624, 0xbfece819488344ce, // -0.42894, -0.90333 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdb4655ae2bf757, 0xbfecf2d829f1b40e, // -0.42617, -0.90464 + 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053 + 0xbfdb18d45bf8aca6, 0xbfecfd852fff6ad4, // -0.42339, -0.90595 + 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 + 0xbfdaeb4252ca07ab, 0xbfed082054168bac, // -0.42061, -0.90724 + 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789 + 0xbfdabd9faebc3980, 0xbfed12a98fac410c, // -0.41782, -0.90853 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfda8fec8bf5b166, 0xbfed1d20dc40c15c, // -0.41503, -0.90981 + 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044 + 0xbfda622906a70b63, 0xbfed2786335f52fc, // -0.41224, -0.91107 + 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 + 0xbfda34553b0afee5, 0xbfed31d98e9e503a, // -0.40944, -0.91234 + 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296 + 0xbfda067145664d57, 0xbfed3c1ae79f2b4e, // -0.40664, -0.91359 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd9d87d4207b0ab, 0xbfed464a380e7242, // -0.40384, -0.91483 + 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545 + 0xbfd9aa794d47c9ee, 0xbfed506779a3d2d9, // -0.40103, -0.91606 + 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 + 0xbfd97c6583890fc2, 0xbfed5a72a6221e73, // -0.39822, -0.91729 + 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179 + 0xbfd94e420137bce3, 0xbfed646bb7574de5, // -0.3954, -0.91851 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd9200ee2c9be97, 0xbfed6e52a71c8547, // -0.39258, -0.91972 + 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032 + 0xbfd8f1cc44bea329, 0xbfed78276f5617c6, // -0.38976, -0.92092 + 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 + 0xbfd8c37a439f884f, 0xbfed81ea09f38b63, // -0.38693, -0.92211 + 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227 + 0xbfd89518fbff098e, 0xbfed8b9a70ef9cb4, // -0.3841, -0.92329 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd866a88a792ea0, 0xbfed95389e50429b, // -0.38127, -0.92447 + 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505 + 0xbfd838290bb359c8, 0xbfed9ec48c26b1f3, // -0.37843, -0.92563 + 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 + 0xbfd8099a9c5c362d, 0xbfeda83e348f613b, // -0.37559, -0.92679 + 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736 + 0xbfd7dafd592ba621, 0xbfedb1a591b20c38, // -0.37274, -0.92794 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd7ac515ee2b172, 0xbfedbafa9dc1b78d, // -0.36989, -0.92907 + 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964 + 0xbfd77d96ca4b73a6, 0xbfedc43d52fcb453, // -0.36704, -0.93021 + 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 + 0xbfd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // -0.36418, -0.93133 + 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188 + 0xbfd71ff6458782ec, 0xbfedd68ba2267a25, // -0.36133, -0.93244 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd6f1108f1bc9c5, 0xbfeddf9730ca837b, // -0.35846, -0.93354 + 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409 + 0xbfd6c21cb1e39771, 0xbfede890520465ce, // -0.3556, -0.93464 + 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 + 0xbfd6931acad55f51, 0xbfedf177004b2534, // -0.35273, -0.93573 + 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627 + 0xbfd6640af6f03d9e, 0xbfedfa4b3621271d, // -0.34986, -0.9368 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd634ed533be58e, 0xbfee030cee1435b8, // -0.34698, -0.93787 + 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384 + 0xbfd605c1fcc88f63, 0xbfee0bbc22bd8349, // -0.3441, -0.93893 + 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 + 0xbfd5d68910aee686, 0xbfee1458cec1ad83, // -0.34122, -0.93998 + 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051 + 0xbfd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // -0.33833, -0.94103 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd577eeec151e47, 0xbfee255a77a63bb8, // -0.33545, -0.94206 + 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257 + 0xbfd5488dedeff3be, 0xbfee2dbf6a0911d9, // -0.33255, -0.94308 + 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 + 0xbfd5191fceda3c35, 0xbfee3611becbaf69, // -0.32966, -0.9441 + 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446 + 0xbfd4e9a4ac15d520, 0xbfee3e5170cbfc46, // -0.32676, -0.94511 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd4ba1ca2eca31c, 0xbfee467e7af35f23, // -0.32386, -0.94611 + 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466 + 0xbfd48a87d0b07fd7, 0xbfee4e98d836c0af, // -0.32096, -0.94709 + 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 + 0xbfd45ae652bb2800, 0xbfee56a083968eb1, // -0.31805, -0.94807 + 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856 + 0xbfd42b38466e2928, 0xbfee5e95781ebf1c, // -0.31514, -0.94905 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // -0.31222, -0.95001 + 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049 + 0xbfd3cbb6f87a146e, 0xbfee6e472911da27, // -0.30931, -0.95096 + 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 + 0xbfd39be3f1bc8aef, 0xbfee7603dbce74e9, // -0.30639, -0.95191 + 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238 + 0xbfd36c04d27a4edf, 0xbfee7dadc456d850, // -0.30347, -0.95284 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd33c19b83af207, 0xbfee8544ddf0d075, // -0.30054, -0.95377 + 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423 + 0xbfd30c22c08d6a13, 0xbfee8cc923edc388, // -0.29762, -0.95469 + 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 + 0xbfd2dc200907fe51, 0xbfee943a91aab4b4, // -0.29469, -0.95559 + 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605 + 0xbfd2ac11af483572, 0xbfee9b99229046f8, // -0.29175, -0.95649 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd27bf7d0f2c346, 0xbfeea2e4d212c000, // -0.28882, -0.95738 + 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783 + 0xbfd24bd28bb37672, 0xbfeeaa1d9bb20af3, // -0.28588, -0.95827 + 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 + 0xbfd21ba1fd3d2623, 0xbfeeb1437af9bb34, // -0.28294, -0.95914 + 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957 + 0xbfd1eb6643499fbb, 0xbfeeb8566b810f2a, // -0.27999, -0.96 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd1bb1f7b999480, 0xbfeebf5668eaf2ef, // -0.27705, -0.96086 + 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128 + 0xbfd18acdc3f4873a, 0xbfeec6436ee60309, // -0.2741, -0.9617 + 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 + 0xbfd15a713a28b9d9, 0xbfeecd1d792c8f10, // -0.27115, -0.96254 + 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295 + 0xbfd12a09fc0b1b12, 0xbfeed3e483849c51, // -0.26819, -0.96337 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd0f998277733f7, 0xbfeeda9889bfe86a, // -0.26523, -0.96418 + 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459 + 0xbfd0c91bda4f158d, 0xbfeee13987bbebdc, // -0.26227, -0.96499 + 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 + 0xbfd09895327b465e, 0xbfeee7c77961dc9e, // -0.25931, -0.96579 + 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619 + 0xbfd068044deab002, 0xbfeeee425aa6b09a, // -0.25635, -0.96658 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfd037694a928cac, 0xbfeef4aa278b2032, // -0.25338, -0.96737 + 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775 + 0xbfd006c4466e54af, 0xbfeefafedc1ba8b7, // -0.25041, -0.96814 + 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 + 0xbfcfac2abeff57ff, 0xbfef014074708ed3, // -0.24744, -0.9689 + 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928 + 0xbfcf4ab9679c9f5c, 0xbfef076eecade0fa, // -0.24447, -0.96966 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfcee934c2d006c7, 0xbfef0d8a410379c5, // -0.24149, -0.9704 + 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077 + 0xbfce879d0cc0fdaf, 0xbfef13926dad024e, // -0.23851, -0.97114 + 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 + 0xbfce25f281a2b684, 0xbfef19876ef1f486, // -0.23553, -0.97187 + 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223 + 0xbfcdc4355db40195, 0xbfef1f6941259d7a, // -0.23255, -0.97258 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcd6265dd3f27e3, 0xbfef2537e0a71f9f, // -0.22957, -0.97329 + 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364 + 0xbfcd00843c99c5f9, 0xbfef2af349e17507, // -0.22658, -0.97399 + 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 + 0xbfcc9e90b824a6a9, 0xbfef309b794b719f, // -0.22359, -0.97468 + 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503 + 0xbfcc3c8b8c4b9dd7, 0xbfef36306b67c556, // -0.2206, -0.97536 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfcbda74f5856330, 0xbfef3bb21cc4fe47, // -0.2176, -0.97604 + 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637 + 0xbfcb784d30536cda, 0xbfef412089fd8adc, // -0.21461, -0.9767 + 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 + 0xbfcb16147941ca2a, 0xbfef467bafb7bbe0, // -0.21161, -0.97735 + 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768 + 0xbfcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // -0.20861, -0.978 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfca517127e3dabc, 0xbfef50f81785c6b9, // -0.20561, -0.97863 + 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895 + 0xbfc9ef0706e35a35, 0xbfef56195321c090, // -0.20261, -0.97926 + 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 + 0xbfc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // -0.1996, -0.97988 + 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018 + 0xbfc92a0303c8194f, 0xbfef6021c9f148c2, // -0.19659, -0.98048 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc8c7699b34ca7e, 0xbfef6508fef47bd5, // -0.19359, -0.98108 + 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138 + 0xbfc864c0e9b2b6cf, 0xbfef69dcd652f5de, // -0.19057, -0.98167 + 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 + 0xbfc802092c1d744b, 0xbfef6e9d4d1262ca, // -0.18756, -0.98225 + 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254 + 0xbfc79f429f59e11d, 0xbfef734a60446279, // -0.18455, -0.98282 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc73c6d8055fe0a, 0xbfef77e40d068a90, // -0.18153, -0.98339 + 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366 + 0xbfc6d98a0c08c8da, 0xbfef7c6a50826840, // -0.17851, -0.98394 + 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 + 0xbfc676987f7216b8, 0xbfef80dd27ed8204, // -0.17549, -0.98448 + 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475 + 0xbfc61399179a6e94, 0xbfef853c9089595e, // -0.17247, -0.98501 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc5b08c1192e381, 0xbfef898887a36c84, // -0.16945, -0.98554 + 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858 + 0xbfc54d71aa74ef02, 0xbfef8dc10a95380d, // -0.16643, -0.98605 + 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 + 0xbfc4ea4a1f624b61, 0xbfef91e616c43891, // -0.1634, -0.98656 + 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681 + 0xbfc48715ad84cdf5, 0xbfef95f7a9a1ec47, // -0.16037, -0.98706 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc423d4920e4166, 0xbfef99f5c0abd496, // -0.15734, -0.98754 + 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778 + 0xbfc3c0870a383ff6, 0xbfef9de0596b77a3, // -0.15431, -0.98802 + 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 + 0xbfc35d2d53440db2, 0xbfefa1b7717661d5, // -0.15128, -0.98849 + 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872 + 0xbfc2f9c7aa7a72af, 0xbfefa57b066e2754, // -0.14825, -0.98895 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc296564d2b953e, 0xbfefa92b1600657c, // -0.14521, -0.9894 + 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962 + 0xbfc232d978aed413, 0xbfefacc79de6c44f, // -0.14218, -0.98984 + 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 + 0xbfc1cf516a62a077, 0xbfefb0509be6f7db, // -0.13914, -0.99027 + 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049 + 0xbfc16bbe5fac5865, 0xbfefb3c60dd2c199, // -0.1361, -0.9907 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfc1082095f820b0, 0xbfefb727f187f1c7, // -0.13306, -0.99111 + 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131 + 0xbfc0a4784ab8bf1d, 0xbfefba7644f068b5, // -0.13002, -0.99151 + 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 + 0xbfc040c5bb67747e, 0xbfefbdb106021816, // -0.12698, -0.99191 + 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921 + 0xbfbfba124b07ad85, 0xbfefc0d832bf043a, // -0.12393, -0.99229 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbef2858d27561b, 0xbfefc3ebc935454c, // -0.12089, -0.99267 + 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285 + 0xbfbe2ae5b8457f77, 0xbfefc6ebc77f0887, // -0.11784, -0.99303 + 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 + 0xbfbd633347858ce4, 0xbfefc9d82bc2915e, // -0.11479, -0.99339 + 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356 + 0xbfbc9b6eb6165c42, 0xbfefccb0f4323aa3, // -0.11175, -0.99374 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfbbd3987f31fa0e, 0xbfefcf761f0c77a3, // -0.1087, -0.99407 + 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424 + 0xbfbb0bb11e1d5559, 0xbfefd227aa9bd53b, // -0.10565, -0.9944 + 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 + 0xbfba43b90e27f3c4, 0xbfefd4c59536fae4, // -0.1026, -0.99472 + 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488 + 0xbfb97bb0caaba56f, 0xbfefd74fdd40abbf, // -0.099544, -0.99503 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 + 0xbfb8b398cf0c38e0, 0xbfefd9c68127c78c, // -0.09649, -0.99533 + 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548 + 0xbfb7eb7196b72ee4, 0xbfefdc297f674ba9, // -0.093436, -0.99563 + 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 + 0xbfb7233b9d236e71, 0xbfefde78d68653fd, // -0.090381, -0.99591 + 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604 + 0xbfb65af75dd0f87b, 0xbfefe0b485181be3, // -0.087326, -0.99618 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 + 0xbfb592a554489bc8, 0xbfefe2dc89bbff08, // -0.084269, -0.99644 + 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657 + 0xbfb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // -0.081211, -0.9967 + 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 + 0xbfb401d9d0e3a507, 0xbfefe6f18ff42c84, // -0.078153, -0.99694 + 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706 + 0xbfb339614e41ffa5, 0xbfefe8de8f03d75c, // -0.075094, -0.99718 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 + 0xbfb270dcefdfc45b, 0xbfefeab7df1c6005, // -0.072035, -0.9974 + 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751 + 0xbfb1a84d316d4f8a, 0xbfefec7d7f19cffc, // -0.068974, -0.99762 + 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 + 0xbfb0dfb28ea201e6, 0xbfefee2f6de455ba, // -0.065913, -0.99783 + 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793 + 0xbfb0170d833bf421, 0xbfefefcdaa704562, // -0.062852, -0.99802 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 + 0xbfae9cbd15ff5527, 0xbfeff15833be1965, // -0.05979, -0.99821 + 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983 + 0xbfad0b4c436f91d0, 0xbfeff2cf08da7321, // -0.056727, -0.99839 + 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 + 0xbfab79c986698b78, 0xbfeff43228de1b77, // -0.053664, -0.99856 + 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864 + 0xbfa9e835d6993c87, 0xbfeff58192ee0358, // -0.0506, -0.99872 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 + 0xbfa856922bb513c1, 0xbfeff6bd463b444d, // -0.047535, -0.99887 + 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894 + 0xbfa6c4df7d7d5b84, 0xbfeff7e5420320f9, // -0.044471, -0.99901 + 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 + 0xbfa5331ec3bba0eb, 0xbfeff8f9858f058b, // -0.041406, -0.99914 + 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992 + 0xbfa3a150f6421afc, 0xbfeff9fa10348837, // -0.03834, -0.99926 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 + 0xbfa20f770ceb11c6, 0xbfeffae6e1556998, // -0.035274, -0.99938 + 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943 + 0xbfa07d91ff984580, 0xbfeffbbff85f9515, // -0.032208, -0.99948 + 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 + 0xbf9dd7458c64ab39, 0xbfeffc8554cd213a, // -0.029142, -0.99958 + 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962 + 0xbf9ab354b1504fca, 0xbfeffd36f624500c, // -0.026075, -0.99966 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 + 0xbf978f535ddc9f03, 0xbfeffdd4dbf78f52, // -0.023008, -0.99974 + 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977 + 0xbf946b4381fce81c, 0xbfeffe5f05e578db, // -0.01994, -0.9998 + 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 + 0xbf9147270dad7132, 0xbfeffed57398d2b7, // -0.016873, -0.99986 + 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988 + 0xbf8c45ffe1e48ad9, 0xbfefff3824c88f6f, // -0.013805, -0.9999 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 + 0xbf85fda037ac05e0, 0xbfefff871937ce2f, // -0.010738, -0.99994 + 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996 + 0xbf7f6a65f9a2a3c5, 0xbfefffc250b5daef, //-0.0076698, -0.99997 + 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 + 0xbf72d97822f996bc, 0xbfefffe9cb1e2e8d, //-0.0046019, -0.99999 + 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1 + 0xbf5921faaee6472d, 0xbfeffffd88586ee6, // -0.001534, -1 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, // 0.0046019, -0.99999 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 + 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, // 0.0076698, -0.99997 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996 + 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 + + +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +/** + @brief Floating-point Twiddle factors Table Generation +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_16[32] = { + 1.000000000f, 0.000000000f, + 0.923879533f, 0.382683432f, + 0.707106781f, 0.707106781f, + 0.382683432f, 0.923879533f, + 0.000000000f, 1.000000000f, + -0.382683432f, 0.923879533f, + -0.707106781f, 0.707106781f, + -0.923879533f, 0.382683432f, + -1.000000000f, 0.000000000f, + -0.923879533f, -0.382683432f, + -0.707106781f, -0.707106781f, + -0.382683432f, -0.923879533f, + -0.000000000f, -1.000000000f, + 0.382683432f, -0.923879533f, + 0.707106781f, -0.707106781f, + 0.923879533f, -0.382683432f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_32[64] = { + 1.000000000f, 0.000000000f, + 0.980785280f, 0.195090322f, + 0.923879533f, 0.382683432f, + 0.831469612f, 0.555570233f, + 0.707106781f, 0.707106781f, + 0.555570233f, 0.831469612f, + 0.382683432f, 0.923879533f, + 0.195090322f, 0.980785280f, + 0.000000000f, 1.000000000f, + -0.195090322f, 0.980785280f, + -0.382683432f, 0.923879533f, + -0.555570233f, 0.831469612f, + -0.707106781f, 0.707106781f, + -0.831469612f, 0.555570233f, + -0.923879533f, 0.382683432f, + -0.980785280f, 0.195090322f, + -1.000000000f, 0.000000000f, + -0.980785280f, -0.195090322f, + -0.923879533f, -0.382683432f, + -0.831469612f, -0.555570233f, + -0.707106781f, -0.707106781f, + -0.555570233f, -0.831469612f, + -0.382683432f, -0.923879533f, + -0.195090322f, -0.980785280f, + -0.000000000f, -1.000000000f, + 0.195090322f, -0.980785280f, + 0.382683432f, -0.923879533f, + 0.555570233f, -0.831469612f, + 0.707106781f, -0.707106781f, + 0.831469612f, -0.555570233f, + 0.923879533f, -0.382683432f, + 0.980785280f, -0.195090322f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_64[128] = { + 1.000000000f, 0.000000000f, + 0.995184727f, 0.098017140f, + 0.980785280f, 0.195090322f, + 0.956940336f, 0.290284677f, + 0.923879533f, 0.382683432f, + 0.881921264f, 0.471396737f, + 0.831469612f, 0.555570233f, + 0.773010453f, 0.634393284f, + 0.707106781f, 0.707106781f, + 0.634393284f, 0.773010453f, + 0.555570233f, 0.831469612f, + 0.471396737f, 0.881921264f, + 0.382683432f, 0.923879533f, + 0.290284677f, 0.956940336f, + 0.195090322f, 0.980785280f, + 0.098017140f, 0.995184727f, + 0.000000000f, 1.000000000f, + -0.098017140f, 0.995184727f, + -0.195090322f, 0.980785280f, + -0.290284677f, 0.956940336f, + -0.382683432f, 0.923879533f, + -0.471396737f, 0.881921264f, + -0.555570233f, 0.831469612f, + -0.634393284f, 0.773010453f, + -0.707106781f, 0.707106781f, + -0.773010453f, 0.634393284f, + -0.831469612f, 0.555570233f, + -0.881921264f, 0.471396737f, + -0.923879533f, 0.382683432f, + -0.956940336f, 0.290284677f, + -0.980785280f, 0.195090322f, + -0.995184727f, 0.098017140f, + -1.000000000f, 0.000000000f, + -0.995184727f, -0.098017140f, + -0.980785280f, -0.195090322f, + -0.956940336f, -0.290284677f, + -0.923879533f, -0.382683432f, + -0.881921264f, -0.471396737f, + -0.831469612f, -0.555570233f, + -0.773010453f, -0.634393284f, + -0.707106781f, -0.707106781f, + -0.634393284f, -0.773010453f, + -0.555570233f, -0.831469612f, + -0.471396737f, -0.881921264f, + -0.382683432f, -0.923879533f, + -0.290284677f, -0.956940336f, + -0.195090322f, -0.980785280f, + -0.098017140f, -0.995184727f, + -0.000000000f, -1.000000000f, + 0.098017140f, -0.995184727f, + 0.195090322f, -0.980785280f, + 0.290284677f, -0.956940336f, + 0.382683432f, -0.923879533f, + 0.471396737f, -0.881921264f, + 0.555570233f, -0.831469612f, + 0.634393284f, -0.773010453f, + 0.707106781f, -0.707106781f, + 0.773010453f, -0.634393284f, + 0.831469612f, -0.555570233f, + 0.881921264f, -0.471396737f, + 0.923879533f, -0.382683432f, + 0.956940336f, -0.290284677f, + 0.980785280f, -0.195090322f, + 0.995184727f, -0.098017140f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_128[256] = { + 1.000000000f, 0.000000000f, + 0.998795456f, 0.049067674f, + 0.995184727f, 0.098017140f, + 0.989176510f, 0.146730474f, + 0.980785280f, 0.195090322f, + 0.970031253f, 0.242980180f, + 0.956940336f, 0.290284677f, + 0.941544065f, 0.336889853f, + 0.923879533f, 0.382683432f, + 0.903989293f, 0.427555093f, + 0.881921264f, 0.471396737f, + 0.857728610f, 0.514102744f, + 0.831469612f, 0.555570233f, + 0.803207531f, 0.595699304f, + 0.773010453f, 0.634393284f, + 0.740951125f, 0.671558955f, + 0.707106781f, 0.707106781f, + 0.671558955f, 0.740951125f, + 0.634393284f, 0.773010453f, + 0.595699304f, 0.803207531f, + 0.555570233f, 0.831469612f, + 0.514102744f, 0.857728610f, + 0.471396737f, 0.881921264f, + 0.427555093f, 0.903989293f, + 0.382683432f, 0.923879533f, + 0.336889853f, 0.941544065f, + 0.290284677f, 0.956940336f, + 0.242980180f, 0.970031253f, + 0.195090322f, 0.980785280f, + 0.146730474f, 0.989176510f, + 0.098017140f, 0.995184727f, + 0.049067674f, 0.998795456f, + 0.000000000f, 1.000000000f, + -0.049067674f, 0.998795456f, + -0.098017140f, 0.995184727f, + -0.146730474f, 0.989176510f, + -0.195090322f, 0.980785280f, + -0.242980180f, 0.970031253f, + -0.290284677f, 0.956940336f, + -0.336889853f, 0.941544065f, + -0.382683432f, 0.923879533f, + -0.427555093f, 0.903989293f, + -0.471396737f, 0.881921264f, + -0.514102744f, 0.857728610f, + -0.555570233f, 0.831469612f, + -0.595699304f, 0.803207531f, + -0.634393284f, 0.773010453f, + -0.671558955f, 0.740951125f, + -0.707106781f, 0.707106781f, + -0.740951125f, 0.671558955f, + -0.773010453f, 0.634393284f, + -0.803207531f, 0.595699304f, + -0.831469612f, 0.555570233f, + -0.857728610f, 0.514102744f, + -0.881921264f, 0.471396737f, + -0.903989293f, 0.427555093f, + -0.923879533f, 0.382683432f, + -0.941544065f, 0.336889853f, + -0.956940336f, 0.290284677f, + -0.970031253f, 0.242980180f, + -0.980785280f, 0.195090322f, + -0.989176510f, 0.146730474f, + -0.995184727f, 0.098017140f, + -0.998795456f, 0.049067674f, + -1.000000000f, 0.000000000f, + -0.998795456f, -0.049067674f, + -0.995184727f, -0.098017140f, + -0.989176510f, -0.146730474f, + -0.980785280f, -0.195090322f, + -0.970031253f, -0.242980180f, + -0.956940336f, -0.290284677f, + -0.941544065f, -0.336889853f, + -0.923879533f, -0.382683432f, + -0.903989293f, -0.427555093f, + -0.881921264f, -0.471396737f, + -0.857728610f, -0.514102744f, + -0.831469612f, -0.555570233f, + -0.803207531f, -0.595699304f, + -0.773010453f, -0.634393284f, + -0.740951125f, -0.671558955f, + -0.707106781f, -0.707106781f, + -0.671558955f, -0.740951125f, + -0.634393284f, -0.773010453f, + -0.595699304f, -0.803207531f, + -0.555570233f, -0.831469612f, + -0.514102744f, -0.857728610f, + -0.471396737f, -0.881921264f, + -0.427555093f, -0.903989293f, + -0.382683432f, -0.923879533f, + -0.336889853f, -0.941544065f, + -0.290284677f, -0.956940336f, + -0.242980180f, -0.970031253f, + -0.195090322f, -0.980785280f, + -0.146730474f, -0.989176510f, + -0.098017140f, -0.995184727f, + -0.049067674f, -0.998795456f, + -0.000000000f, -1.000000000f, + 0.049067674f, -0.998795456f, + 0.098017140f, -0.995184727f, + 0.146730474f, -0.989176510f, + 0.195090322f, -0.980785280f, + 0.242980180f, -0.970031253f, + 0.290284677f, -0.956940336f, + 0.336889853f, -0.941544065f, + 0.382683432f, -0.923879533f, + 0.427555093f, -0.903989293f, + 0.471396737f, -0.881921264f, + 0.514102744f, -0.857728610f, + 0.555570233f, -0.831469612f, + 0.595699304f, -0.803207531f, + 0.634393284f, -0.773010453f, + 0.671558955f, -0.740951125f, + 0.707106781f, -0.707106781f, + 0.740951125f, -0.671558955f, + 0.773010453f, -0.634393284f, + 0.803207531f, -0.595699304f, + 0.831469612f, -0.555570233f, + 0.857728610f, -0.514102744f, + 0.881921264f, -0.471396737f, + 0.903989293f, -0.427555093f, + 0.923879533f, -0.382683432f, + 0.941544065f, -0.336889853f, + 0.956940336f, -0.290284677f, + 0.970031253f, -0.242980180f, + 0.980785280f, -0.195090322f, + 0.989176510f, -0.146730474f, + 0.995184727f, -0.098017140f, + 0.998795456f, -0.049067674f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_256[512] = { + 1.000000000f, 0.000000000f, + 0.999698819f, 0.024541229f, + 0.998795456f, 0.049067674f, + 0.997290457f, 0.073564564f, + 0.995184727f, 0.098017140f, + 0.992479535f, 0.122410675f, + 0.989176510f, 0.146730474f, + 0.985277642f, 0.170961889f, + 0.980785280f, 0.195090322f, + 0.975702130f, 0.219101240f, + 0.970031253f, 0.242980180f, + 0.963776066f, 0.266712757f, + 0.956940336f, 0.290284677f, + 0.949528181f, 0.313681740f, + 0.941544065f, 0.336889853f, + 0.932992799f, 0.359895037f, + 0.923879533f, 0.382683432f, + 0.914209756f, 0.405241314f, + 0.903989293f, 0.427555093f, + 0.893224301f, 0.449611330f, + 0.881921264f, 0.471396737f, + 0.870086991f, 0.492898192f, + 0.857728610f, 0.514102744f, + 0.844853565f, 0.534997620f, + 0.831469612f, 0.555570233f, + 0.817584813f, 0.575808191f, + 0.803207531f, 0.595699304f, + 0.788346428f, 0.615231591f, + 0.773010453f, 0.634393284f, + 0.757208847f, 0.653172843f, + 0.740951125f, 0.671558955f, + 0.724247083f, 0.689540545f, + 0.707106781f, 0.707106781f, + 0.689540545f, 0.724247083f, + 0.671558955f, 0.740951125f, + 0.653172843f, 0.757208847f, + 0.634393284f, 0.773010453f, + 0.615231591f, 0.788346428f, + 0.595699304f, 0.803207531f, + 0.575808191f, 0.817584813f, + 0.555570233f, 0.831469612f, + 0.534997620f, 0.844853565f, + 0.514102744f, 0.857728610f, + 0.492898192f, 0.870086991f, + 0.471396737f, 0.881921264f, + 0.449611330f, 0.893224301f, + 0.427555093f, 0.903989293f, + 0.405241314f, 0.914209756f, + 0.382683432f, 0.923879533f, + 0.359895037f, 0.932992799f, + 0.336889853f, 0.941544065f, + 0.313681740f, 0.949528181f, + 0.290284677f, 0.956940336f, + 0.266712757f, 0.963776066f, + 0.242980180f, 0.970031253f, + 0.219101240f, 0.975702130f, + 0.195090322f, 0.980785280f, + 0.170961889f, 0.985277642f, + 0.146730474f, 0.989176510f, + 0.122410675f, 0.992479535f, + 0.098017140f, 0.995184727f, + 0.073564564f, 0.997290457f, + 0.049067674f, 0.998795456f, + 0.024541229f, 0.999698819f, + 0.000000000f, 1.000000000f, + -0.024541229f, 0.999698819f, + -0.049067674f, 0.998795456f, + -0.073564564f, 0.997290457f, + -0.098017140f, 0.995184727f, + -0.122410675f, 0.992479535f, + -0.146730474f, 0.989176510f, + -0.170961889f, 0.985277642f, + -0.195090322f, 0.980785280f, + -0.219101240f, 0.975702130f, + -0.242980180f, 0.970031253f, + -0.266712757f, 0.963776066f, + -0.290284677f, 0.956940336f, + -0.313681740f, 0.949528181f, + -0.336889853f, 0.941544065f, + -0.359895037f, 0.932992799f, + -0.382683432f, 0.923879533f, + -0.405241314f, 0.914209756f, + -0.427555093f, 0.903989293f, + -0.449611330f, 0.893224301f, + -0.471396737f, 0.881921264f, + -0.492898192f, 0.870086991f, + -0.514102744f, 0.857728610f, + -0.534997620f, 0.844853565f, + -0.555570233f, 0.831469612f, + -0.575808191f, 0.817584813f, + -0.595699304f, 0.803207531f, + -0.615231591f, 0.788346428f, + -0.634393284f, 0.773010453f, + -0.653172843f, 0.757208847f, + -0.671558955f, 0.740951125f, + -0.689540545f, 0.724247083f, + -0.707106781f, 0.707106781f, + -0.724247083f, 0.689540545f, + -0.740951125f, 0.671558955f, + -0.757208847f, 0.653172843f, + -0.773010453f, 0.634393284f, + -0.788346428f, 0.615231591f, + -0.803207531f, 0.595699304f, + -0.817584813f, 0.575808191f, + -0.831469612f, 0.555570233f, + -0.844853565f, 0.534997620f, + -0.857728610f, 0.514102744f, + -0.870086991f, 0.492898192f, + -0.881921264f, 0.471396737f, + -0.893224301f, 0.449611330f, + -0.903989293f, 0.427555093f, + -0.914209756f, 0.405241314f, + -0.923879533f, 0.382683432f, + -0.932992799f, 0.359895037f, + -0.941544065f, 0.336889853f, + -0.949528181f, 0.313681740f, + -0.956940336f, 0.290284677f, + -0.963776066f, 0.266712757f, + -0.970031253f, 0.242980180f, + -0.975702130f, 0.219101240f, + -0.980785280f, 0.195090322f, + -0.985277642f, 0.170961889f, + -0.989176510f, 0.146730474f, + -0.992479535f, 0.122410675f, + -0.995184727f, 0.098017140f, + -0.997290457f, 0.073564564f, + -0.998795456f, 0.049067674f, + -0.999698819f, 0.024541229f, + -1.000000000f, 0.000000000f, + -0.999698819f, -0.024541229f, + -0.998795456f, -0.049067674f, + -0.997290457f, -0.073564564f, + -0.995184727f, -0.098017140f, + -0.992479535f, -0.122410675f, + -0.989176510f, -0.146730474f, + -0.985277642f, -0.170961889f, + -0.980785280f, -0.195090322f, + -0.975702130f, -0.219101240f, + -0.970031253f, -0.242980180f, + -0.963776066f, -0.266712757f, + -0.956940336f, -0.290284677f, + -0.949528181f, -0.313681740f, + -0.941544065f, -0.336889853f, + -0.932992799f, -0.359895037f, + -0.923879533f, -0.382683432f, + -0.914209756f, -0.405241314f, + -0.903989293f, -0.427555093f, + -0.893224301f, -0.449611330f, + -0.881921264f, -0.471396737f, + -0.870086991f, -0.492898192f, + -0.857728610f, -0.514102744f, + -0.844853565f, -0.534997620f, + -0.831469612f, -0.555570233f, + -0.817584813f, -0.575808191f, + -0.803207531f, -0.595699304f, + -0.788346428f, -0.615231591f, + -0.773010453f, -0.634393284f, + -0.757208847f, -0.653172843f, + -0.740951125f, -0.671558955f, + -0.724247083f, -0.689540545f, + -0.707106781f, -0.707106781f, + -0.689540545f, -0.724247083f, + -0.671558955f, -0.740951125f, + -0.653172843f, -0.757208847f, + -0.634393284f, -0.773010453f, + -0.615231591f, -0.788346428f, + -0.595699304f, -0.803207531f, + -0.575808191f, -0.817584813f, + -0.555570233f, -0.831469612f, + -0.534997620f, -0.844853565f, + -0.514102744f, -0.857728610f, + -0.492898192f, -0.870086991f, + -0.471396737f, -0.881921264f, + -0.449611330f, -0.893224301f, + -0.427555093f, -0.903989293f, + -0.405241314f, -0.914209756f, + -0.382683432f, -0.923879533f, + -0.359895037f, -0.932992799f, + -0.336889853f, -0.941544065f, + -0.313681740f, -0.949528181f, + -0.290284677f, -0.956940336f, + -0.266712757f, -0.963776066f, + -0.242980180f, -0.970031253f, + -0.219101240f, -0.975702130f, + -0.195090322f, -0.980785280f, + -0.170961889f, -0.985277642f, + -0.146730474f, -0.989176510f, + -0.122410675f, -0.992479535f, + -0.098017140f, -0.995184727f, + -0.073564564f, -0.997290457f, + -0.049067674f, -0.998795456f, + -0.024541229f, -0.999698819f, + -0.000000000f, -1.000000000f, + 0.024541229f, -0.999698819f, + 0.049067674f, -0.998795456f, + 0.073564564f, -0.997290457f, + 0.098017140f, -0.995184727f, + 0.122410675f, -0.992479535f, + 0.146730474f, -0.989176510f, + 0.170961889f, -0.985277642f, + 0.195090322f, -0.980785280f, + 0.219101240f, -0.975702130f, + 0.242980180f, -0.970031253f, + 0.266712757f, -0.963776066f, + 0.290284677f, -0.956940336f, + 0.313681740f, -0.949528181f, + 0.336889853f, -0.941544065f, + 0.359895037f, -0.932992799f, + 0.382683432f, -0.923879533f, + 0.405241314f, -0.914209756f, + 0.427555093f, -0.903989293f, + 0.449611330f, -0.893224301f, + 0.471396737f, -0.881921264f, + 0.492898192f, -0.870086991f, + 0.514102744f, -0.857728610f, + 0.534997620f, -0.844853565f, + 0.555570233f, -0.831469612f, + 0.575808191f, -0.817584813f, + 0.595699304f, -0.803207531f, + 0.615231591f, -0.788346428f, + 0.634393284f, -0.773010453f, + 0.653172843f, -0.757208847f, + 0.671558955f, -0.740951125f, + 0.689540545f, -0.724247083f, + 0.707106781f, -0.707106781f, + 0.724247083f, -0.689540545f, + 0.740951125f, -0.671558955f, + 0.757208847f, -0.653172843f, + 0.773010453f, -0.634393284f, + 0.788346428f, -0.615231591f, + 0.803207531f, -0.595699304f, + 0.817584813f, -0.575808191f, + 0.831469612f, -0.555570233f, + 0.844853565f, -0.534997620f, + 0.857728610f, -0.514102744f, + 0.870086991f, -0.492898192f, + 0.881921264f, -0.471396737f, + 0.893224301f, -0.449611330f, + 0.903989293f, -0.427555093f, + 0.914209756f, -0.405241314f, + 0.923879533f, -0.382683432f, + 0.932992799f, -0.359895037f, + 0.941544065f, -0.336889853f, + 0.949528181f, -0.313681740f, + 0.956940336f, -0.290284677f, + 0.963776066f, -0.266712757f, + 0.970031253f, -0.242980180f, + 0.975702130f, -0.219101240f, + 0.980785280f, -0.195090322f, + 0.985277642f, -0.170961889f, + 0.989176510f, -0.146730474f, + 0.992479535f, -0.122410675f, + 0.995184727f, -0.098017140f, + 0.997290457f, -0.073564564f, + 0.998795456f, -0.049067674f, + 0.999698819f, -0.024541229f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_512[1024] = { + 1.000000000f, 0.000000000f, + 0.999924702f, 0.012271538f, + 0.999698819f, 0.024541229f, + 0.999322385f, 0.036807223f, + 0.998795456f, 0.049067674f, + 0.998118113f, 0.061320736f, + 0.997290457f, 0.073564564f, + 0.996312612f, 0.085797312f, + 0.995184727f, 0.098017140f, + 0.993906970f, 0.110222207f, + 0.992479535f, 0.122410675f, + 0.990902635f, 0.134580709f, + 0.989176510f, 0.146730474f, + 0.987301418f, 0.158858143f, + 0.985277642f, 0.170961889f, + 0.983105487f, 0.183039888f, + 0.980785280f, 0.195090322f, + 0.978317371f, 0.207111376f, + 0.975702130f, 0.219101240f, + 0.972939952f, 0.231058108f, + 0.970031253f, 0.242980180f, + 0.966976471f, 0.254865660f, + 0.963776066f, 0.266712757f, + 0.960430519f, 0.278519689f, + 0.956940336f, 0.290284677f, + 0.953306040f, 0.302005949f, + 0.949528181f, 0.313681740f, + 0.945607325f, 0.325310292f, + 0.941544065f, 0.336889853f, + 0.937339012f, 0.348418680f, + 0.932992799f, 0.359895037f, + 0.928506080f, 0.371317194f, + 0.923879533f, 0.382683432f, + 0.919113852f, 0.393992040f, + 0.914209756f, 0.405241314f, + 0.909167983f, 0.416429560f, + 0.903989293f, 0.427555093f, + 0.898674466f, 0.438616239f, + 0.893224301f, 0.449611330f, + 0.887639620f, 0.460538711f, + 0.881921264f, 0.471396737f, + 0.876070094f, 0.482183772f, + 0.870086991f, 0.492898192f, + 0.863972856f, 0.503538384f, + 0.857728610f, 0.514102744f, + 0.851355193f, 0.524589683f, + 0.844853565f, 0.534997620f, + 0.838224706f, 0.545324988f, + 0.831469612f, 0.555570233f, + 0.824589303f, 0.565731811f, + 0.817584813f, 0.575808191f, + 0.810457198f, 0.585797857f, + 0.803207531f, 0.595699304f, + 0.795836905f, 0.605511041f, + 0.788346428f, 0.615231591f, + 0.780737229f, 0.624859488f, + 0.773010453f, 0.634393284f, + 0.765167266f, 0.643831543f, + 0.757208847f, 0.653172843f, + 0.749136395f, 0.662415778f, + 0.740951125f, 0.671558955f, + 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0.405241314f, 0.914209756f, + 0.393992040f, 0.919113852f, + 0.382683432f, 0.923879533f, + 0.371317194f, 0.928506080f, + 0.359895037f, 0.932992799f, + 0.348418680f, 0.937339012f, + 0.336889853f, 0.941544065f, + 0.325310292f, 0.945607325f, + 0.313681740f, 0.949528181f, + 0.302005949f, 0.953306040f, + 0.290284677f, 0.956940336f, + 0.278519689f, 0.960430519f, + 0.266712757f, 0.963776066f, + 0.254865660f, 0.966976471f, + 0.242980180f, 0.970031253f, + 0.231058108f, 0.972939952f, + 0.219101240f, 0.975702130f, + 0.207111376f, 0.978317371f, + 0.195090322f, 0.980785280f, + 0.183039888f, 0.983105487f, + 0.170961889f, 0.985277642f, + 0.158858143f, 0.987301418f, + 0.146730474f, 0.989176510f, + 0.134580709f, 0.990902635f, + 0.122410675f, 0.992479535f, + 0.110222207f, 0.993906970f, + 0.098017140f, 0.995184727f, + 0.085797312f, 0.996312612f, + 0.073564564f, 0.997290457f, + 0.061320736f, 0.998118113f, + 0.049067674f, 0.998795456f, + 0.036807223f, 0.999322385f, + 0.024541229f, 0.999698819f, + 0.012271538f, 0.999924702f, + 0.000000000f, 1.000000000f, + -0.012271538f, 0.999924702f, + -0.024541229f, 0.999698819f, + -0.036807223f, 0.999322385f, + -0.049067674f, 0.998795456f, + -0.061320736f, 0.998118113f, + -0.073564564f, 0.997290457f, + -0.085797312f, 0.996312612f, + -0.098017140f, 0.995184727f, + -0.110222207f, 0.993906970f, + -0.122410675f, 0.992479535f, + -0.134580709f, 0.990902635f, + -0.146730474f, 0.989176510f, + -0.158858143f, 0.987301418f, + -0.170961889f, 0.985277642f, + -0.183039888f, 0.983105487f, + -0.195090322f, 0.980785280f, + -0.207111376f, 0.978317371f, + -0.219101240f, 0.975702130f, + -0.231058108f, 0.972939952f, + -0.242980180f, 0.970031253f, + -0.254865660f, 0.966976471f, + -0.266712757f, 0.963776066f, + -0.278519689f, 0.960430519f, + -0.290284677f, 0.956940336f, + -0.302005949f, 0.953306040f, + -0.313681740f, 0.949528181f, + -0.325310292f, 0.945607325f, + -0.336889853f, 0.941544065f, + -0.348418680f, 0.937339012f, + -0.359895037f, 0.932992799f, + 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0.998118113f, -0.061320736f, + 0.998795456f, -0.049067674f, + 0.999322385f, -0.036807223f, + 0.999698819f, -0.024541229f, + 0.999924702f, -0.012271538f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_1024[2048] = { + 1.000000000f, 0.000000000f, + 0.999981175f, 0.006135885f, + 0.999924702f, 0.012271538f, + 0.999830582f, 0.018406730f, + 0.999698819f, 0.024541229f, + 0.999529418f, 0.030674803f, + 0.999322385f, 0.036807223f, + 0.999077728f, 0.042938257f, + 0.998795456f, 0.049067674f, + 0.998475581f, 0.055195244f, + 0.998118113f, 0.061320736f, + 0.997723067f, 0.067443920f, + 0.997290457f, 0.073564564f, + 0.996820299f, 0.079682438f, + 0.996312612f, 0.085797312f, + 0.995767414f, 0.091908956f, + 0.995184727f, 0.098017140f, + 0.994564571f, 0.104121634f, + 0.993906970f, 0.110222207f, + 0.993211949f, 0.116318631f, + 0.992479535f, 0.122410675f, + 0.991709754f, 0.128498111f, + 0.990902635f, 0.134580709f, + 0.990058210f, 0.140658239f, + 0.989176510f, 0.146730474f, + 0.988257568f, 0.152797185f, + 0.987301418f, 0.158858143f, + 0.986308097f, 0.164913120f, + 0.985277642f, 0.170961889f, + 0.984210092f, 0.177004220f, + 0.983105487f, 0.183039888f, + 0.981963869f, 0.189068664f, + 0.980785280f, 0.195090322f, + 0.979569766f, 0.201104635f, + 0.978317371f, 0.207111376f, + 0.977028143f, 0.213110320f, + 0.975702130f, 0.219101240f, + 0.974339383f, 0.225083911f, + 0.972939952f, 0.231058108f, + 0.971503891f, 0.237023606f, + 0.970031253f, 0.242980180f, + 0.968522094f, 0.248927606f, + 0.966976471f, 0.254865660f, + 0.965394442f, 0.260794118f, + 0.963776066f, 0.266712757f, + 0.962121404f, 0.272621355f, + 0.960430519f, 0.278519689f, + 0.958703475f, 0.284407537f, + 0.956940336f, 0.290284677f, + 0.955141168f, 0.296150888f, + 0.953306040f, 0.302005949f, + 0.951435021f, 0.307849640f, + 0.949528181f, 0.313681740f, + 0.947585591f, 0.319502031f, + 0.945607325f, 0.325310292f, + 0.943593458f, 0.331106306f, + 0.941544065f, 0.336889853f, + 0.939459224f, 0.342660717f, + 0.937339012f, 0.348418680f, + 0.935183510f, 0.354163525f, + 0.932992799f, 0.359895037f, + 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0.999529418f, -0.030674803f, + 0.999698819f, -0.024541229f, + 0.999830582f, -0.018406730f, + 0.999924702f, -0.012271538f, + 0.999981175f, -0.006135885f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_2048[4096] = { + 1.000000000f, 0.000000000f, + 0.999995294f, 0.003067957f, + 0.999981175f, 0.006135885f, + 0.999957645f, 0.009203755f, + 0.999924702f, 0.012271538f, + 0.999882347f, 0.015339206f, + 0.999830582f, 0.018406730f, + 0.999769405f, 0.021474080f, + 0.999698819f, 0.024541229f, + 0.999618822f, 0.027608146f, + 0.999529418f, 0.030674803f, + 0.999430605f, 0.033741172f, + 0.999322385f, 0.036807223f, + 0.999204759f, 0.039872928f, + 0.999077728f, 0.042938257f, + 0.998941293f, 0.046003182f, + 0.998795456f, 0.049067674f, + 0.998640218f, 0.052131705f, + 0.998475581f, 0.055195244f, + 0.998301545f, 0.058258265f, + 0.998118113f, 0.061320736f, + 0.997925286f, 0.064382631f, + 0.997723067f, 0.067443920f, + 0.997511456f, 0.070504573f, + 0.997290457f, 0.073564564f, + 0.997060070f, 0.076623861f, + 0.996820299f, 0.079682438f, + 0.996571146f, 0.082740265f, + 0.996312612f, 0.085797312f, + 0.996044701f, 0.088853553f, + 0.995767414f, 0.091908956f, + 0.995480755f, 0.094963495f, + 0.995184727f, 0.098017140f, + 0.994879331f, 0.101069863f, + 0.994564571f, 0.104121634f, + 0.994240449f, 0.107172425f, + 0.993906970f, 0.110222207f, + 0.993564136f, 0.113270952f, + 0.993211949f, 0.116318631f, + 0.992850414f, 0.119365215f, + 0.992479535f, 0.122410675f, + 0.992099313f, 0.125454983f, + 0.991709754f, 0.128498111f, + 0.991310860f, 0.131540029f, + 0.990902635f, 0.134580709f, + 0.990485084f, 0.137620122f, + 0.990058210f, 0.140658239f, + 0.989622017f, 0.143695033f, + 0.989176510f, 0.146730474f, + 0.988721692f, 0.149764535f, + 0.988257568f, 0.152797185f, + 0.987784142f, 0.155828398f, + 0.987301418f, 0.158858143f, + 0.986809402f, 0.161886394f, + 0.986308097f, 0.164913120f, + 0.985797509f, 0.167938295f, + 0.985277642f, 0.170961889f, + 0.984748502f, 0.173983873f, + 0.984210092f, 0.177004220f, + 0.983662419f, 0.180022901f, + 0.983105487f, 0.183039888f, + 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0.999882347f, -0.015339206f, + 0.999924702f, -0.012271538f, + 0.999957645f, -0.009203755f, + 0.999981175f, -0.006135885f, + 0.999995294f, -0.003067957f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_4096[8192] = { + 1.000000000f, 0.000000000f, + 0.999998823f, 0.001533980f, + 0.999995294f, 0.003067957f, + 0.999989411f, 0.004601926f, + 0.999981175f, 0.006135885f, + 0.999970586f, 0.007669829f, + 0.999957645f, 0.009203755f, + 0.999942350f, 0.010737659f, + 0.999924702f, 0.012271538f, + 0.999904701f, 0.013805389f, + 0.999882347f, 0.015339206f, + 0.999857641f, 0.016872988f, + 0.999830582f, 0.018406730f, + 0.999801170f, 0.019940429f, + 0.999769405f, 0.021474080f, + 0.999735288f, 0.023007681f, + 0.999698819f, 0.024541229f, + 0.999659997f, 0.026074718f, + 0.999618822f, 0.027608146f, + 0.999575296f, 0.029141509f, + 0.999529418f, 0.030674803f, + 0.999481187f, 0.032208025f, + 0.999430605f, 0.033741172f, + 0.999377670f, 0.035274239f, + 0.999322385f, 0.036807223f, + 0.999264747f, 0.038340120f, + 0.999204759f, 0.039872928f, + 0.999142419f, 0.041405641f, + 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0.999957645f, -0.009203755f, + 0.999970586f, -0.007669829f, + 0.999981175f, -0.006135885f, + 0.999989411f, -0.004601926f, + 0.999995294f, -0.003067957f, + 0.999998823f, -0.001533980f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + +/** + @brief Q31 Twiddle factors Table +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
 for(i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_16_q31[24] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, + (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, + (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, + (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, + (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xCF043AB2, (q31_t)0x89BE50C3 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_32_q31[48] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, + (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, + (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, + (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, + (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, + (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, + (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, + (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xB8E31319, (q31_t)0x9592675B, + (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xE70747C3, (q31_t)0x8275A0C0 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_64_q31[96] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i < 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_128_q31[192] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3, + (q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70, + (q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB, + (q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C, + (q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C, + (q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1, + (q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684, + (q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2, + (q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B, + (q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B, + (q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376, + (q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B, + (q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F, + (q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4, + (q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03, + (q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + + */ +const q31_t twiddleCoef_256_q31[384] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF, + (q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2, + (q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4, + (q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7, + (q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013, + (q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62, + (q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A, + (q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E, + (q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049, + (q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6, + (q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91, + (q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95, + (q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E, + (q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC, + (q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648, + (q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B, + (q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D, + (q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20, + (q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E, + (q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB, + (q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B, + (q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E, + (q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411, + (q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16, + (q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D, + (q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872, + (q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + + */ +const q31_t twiddleCoef_512_q31[768] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A, + (q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3, + (q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3, + (q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493, + (q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD, + (q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D, + (q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD, + (q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988, + (q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345, + (q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0, + (q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C, + (q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960, + (q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C, + (q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F, + (q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830, + (q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C, + (q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9, + (q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + 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(q31_t)0x812A1A39, (q31_t)0x1139F0CE, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A, + (q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C, + (q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440, + (q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF, + (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440, + (q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C, + (q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A, + (q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971, + (q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E, + (q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70, + (q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3, + (q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124, + (q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30, + (q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D, + (q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E, + (q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04, + (q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043, + (q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9, + (q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1, + (q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC, + (q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB, + (q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5, + (q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B, + (q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC, + (q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70, + (q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A, + (q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD, + (q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9, + (q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445, + (q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7, + (q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781, + (q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA, + (q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB, + (q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31, + (q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461, + (q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541, + (q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + + */ +const q31_t twiddleCoef_1024_q31[1536] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216, + (q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B, + (q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596, + (q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC, + (q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4, + (q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6, + (q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956, + (q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7, + (q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC, + (q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CB72724, + (q31_t)0x1CCF8CB3, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B920B89, + (q31_t)0x2161B39F, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7AEF6323, + (q31_t)0x23A6887E, (q31_t)0x7AB6CBA3, (q31_t)0x24677757, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A4210D8, + (q31_t)0x25E845B5, (q31_t)0x7A05EEAD, (q31_t)0x26A82185, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x794A7C11, (q31_t)0x28E5714A, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78C7ABA1, + (q31_t)0x2A61B101, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x77FAB988, + (q31_t)0x2C98FBBA, (q31_t)0x77B417DF, (q31_t)0x2D553AFB, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x77235F2D, + (q31_t)0x2ECC681E, (q31_t)0x76D94988, (q31_t)0x2F875262, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7555BD4B, + (q31_t)0x3326E2C2, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x745F9DD1, + (q31_t)0x354D9056, (q31_t)0x740B53FA, (q31_t)0x36041AD9, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x735F6626, + (q31_t)0x376F9E46, (q31_t)0x7307C3D0, (q31_t)0x382493B0, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x71FA3948, (q31_t)0x3A402DD1, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x71410804, + (q31_t)0x3BA51E29, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70231099, + (q31_t)0x3DB832A5, (q31_t)0x6FC19385, (q31_t)0x3E680B2C, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6EFB5F12, + (q31_t)0x3FC5EC97, (q31_t)0x6E96A99C, (q31_t)0x4073F21D, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6D6227FA, (q31_t)0x427A41D0, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C8F351C, + (q31_t)0x43D09AEC, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B4AF278, + (q31_t)0x45CD358F, (q31_t)0x6ADCC964, (q31_t)0x46756827, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x69FD614A, + (q31_t)0x47C3C22E, (q31_t)0x698C246C, (q31_t)0x4869E664, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x683257AA, (q31_t)0x4A581C9D, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x6746C7D7, + (q31_t)0x4B9E038F, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x65DDFBD3, + (q31_t)0x4D8162C4, (q31_t)0x6563BF92, (q31_t)0x4E210617, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x646C59BF, + (q31_t)0x4F5E08E3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x6271FA69, (q31_t)0x51CED46E, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x616F146B, + (q31_t)0x53028517, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x5FE3B38D, + (q31_t)0x54CA0A4A, (q31_t)0x5F5E0DB3, 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(q31_t)0xF8EF5CBB, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x804A9C4D, + (q31_t)0xF75DFF65, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x8078D40D, + (q31_t)0xF50497FA, (q31_t)0x808AB180, (q31_t)0xF43C53CA, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80B21BAF, + (q31_t)0xF2AC246D, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C, + (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8145C5C6, + (q31_t)0xEDFEE92B, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81A01B6C, + (q31_t)0xEBAA894E, (q31_t)0x81C0A801, (q31_t)0xEAE4207A, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82056758, + (q31_t)0xE957ECFB, (q31_t)0x82299971, (q31_t)0xE8922621, + (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x829D753A, (q31_t)0xE642340D, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82F0BDE8, + (q31_t)0xE4B8CD10, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x8376B422, + (q31_t)0xE26CB01A, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x840777CF, + (q31_t)0xE02323E5, (q31_t)0x843A1D70, (q31_t)0xDF608FE3, + (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8549345C, + (q31_t)0xDB9888A8, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85FA1152, + (q31_t)0xD957DE7A, (q31_t)0x86376092, (q31_t)0xD898620C, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86B583EE, + (q31_t)0xD71A8EB5, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B, + (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x87BFCCD7, (q31_t)0xD423B190, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x884BE820, + (q31_t)0xD2AAC504, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x8926B677, + (q31_t)0xD078AD9D, (q31_t)0x8971F15A, (q31_t)0xCFBE389F, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A0BD3F5, + (q31_t)0xCE4AB5A2, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38, + (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BF4AC05, + (q31_t)0xC9FBE527, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CF83C30, + (q31_t)0xC7DB6C50, (q31_t)0x8D50FA59, (q31_t)0xC727016C, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E05C6B7, + (q31_t)0xC5BFD22E, (q31_t)0x8E61D32D, (q31_t)0xC50D1148, + (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x903E6C7A, + (q31_t)0xC197F4D3, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x91695663, + (q31_t)0xBF8C0DE2, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x929DD805, + (q31_t)0xBD85BE2F, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA, + (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x9447ED2F, (q31_t)0xBADBA943, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9523369B, + (q31_t)0xB98A97D8, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x9673DB94, + (q31_t)0xB796199B, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97CDA855, + (q31_t)0xB5A7E362, (q31_t)0x9842F043, (q31_t)0xB5049368, + (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A9C406D, + (q31_t)0xB1DEF9E8, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9C10CD70, + (q31_t)0xB0049AB2, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D8E0596, + (q31_t)0xAE312B91, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91, + (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0x9F979331, (q31_t)0xABCCFD82, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA0A1F24C, + (q31_t)0xAA9FBF1D, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA2386283, + (q31_t)0xA8E21106, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3D6F533, + (q31_t)0xA72BF173, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68, + (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA72BF173, + (q31_t)0xA3D6F533, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8E21106, + (q31_t)0xA2386283, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA9FBF1D, + (q31_t)0xA0A1F24C, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72, + (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAE312B91, + (q31_t)0x9D8E0596, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xB0049AB2, + (q31_t)0x9C10CD70, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB1DEF9E8, + (q31_t)0x9A9C406D, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C, + (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB461FC70, (q31_t)0x98B93828, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB5A7E362, + (q31_t)0x97CDA855, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB796199B, + (q31_t)0x9673DB94, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB98A97D8, + (q31_t)0x9523369B, (q31_t)0xBA32CA70, (q31_t)0x94B50D87, + (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD85BE2F, + (q31_t)0x929DD805, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF8C0DE2, + (q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3, + (q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E, + (q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50, + (q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527, + (q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2, + (q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D, + (q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504, + (q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5, + (q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A, + (q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8, + (q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5, + (q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A, + (q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10, + (q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB, + (q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E, + (q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B, + (q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D, + (q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA, + (q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65, + (q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919, + (q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0, + (q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_2048_q31[3072] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885, + (q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88, + (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A, + (q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF871A1, + (q31_t)0x02BFA9A4, (q31_t)0x7FF62182, (q31_t)0x03242ABF, + (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF09477, + (q31_t)0x03ED26E6, (q31_t)0x7FED5790, (q31_t)0x0451A176, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE5F108, + (q31_t)0x051A8E5C, (q31_t)0x7FE1C76B, (q31_t)0x057F0034, + (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7FD37152, (q31_t)0x06AC406F, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC85853, + (q31_t)0x077501BE, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, + (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB563B2, + (q31_t)0x08A2009A, (q31_t)0x7FAE7494, (q31_t)0x09064B3A, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F9FAA15, + (q31_t)0x09CECF89, (q31_t)0x7F97CEBC, (q31_t)0x0A3308BC, + (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F872BF3, + (q31_t)0x0AFB6805, (q31_t)0x7F7E648B, (q31_t)0x0B5F8D9F, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F6BE9D4, + (q31_t)0x0C27C389, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F4DE450, + (q31_t)0x0D53DB92, (q31_t)0x7F434563, (q31_t)0x0DB7D376, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2D1C0E, + (q31_t)0x0E7FA99D, (q31_t)0x7F2191B4, (q31_t)0x0EE38765, + (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0991C3, + (q31_t)0x0FAB272B, (q31_t)0x7EFD1C3C, (q31_t)0x100EE8AD, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE34635, + (q31_t)0x10D64DBC, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, + (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EBA3A39, + (q31_t)0x120116D4, (q31_t)0x7EABEF2C, (q31_t)0x1264994E, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E8E6EB1, + (q31_t)0x132B7BF9, (q31_t)0x7E7F3956, (q31_t)0x138EDBB0, + (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E5FE493, + (q31_t)0x145576B1, (q31_t)0x7E4FC53E, (q31_t)0x14B8B17F, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E2E9CDF, + (q31_t)0x157F0086, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, + (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7DFA98A7, + (q31_t)0x16A81305, (q31_t)0x7DE8A670, (q31_t)0x170AFD8D, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DC3D90D, + (q31_t)0x17D0A7BB, (q31_t)0x7DB0FDF7, (q31_t)0x183366E8, + (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7D769BB5, (q31_t)0x195B49E9, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D4E2C7E, + (q31_t)0x1A203E1B, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, + (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D0F4218, + (q31_t)0x1B4732EF, (q31_t)0x7CF9AEF0, (q31_t)0x1BA96334, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CCDA168, + (q31_t)0x1C6D9053, (q31_t)0x7CB72724, (q31_t)0x1CCF8CB3, + (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C894BDD, + (q31_t)0x1D934FE5, (q31_t)0x7C71EAF8, (q31_t)0x1DF5163F, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4242F2, + (q31_t)0x1EB86B46, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7BF88830, + (q31_t)0x1FDCDC1A, (q31_t)0x7BDF5B94, (q31_t)0x203E300D, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BAC1D31, + (q31_t)0x21009C0B, (q31_t)0x7B920B89, (q31_t)0x2161B39F, + (q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B5D039D, + (q31_t)0x2223A4C5, (q31_t)0x7B420D7A, (q31_t)0x22847DDF, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B0B3D2C, + (q31_t)0x2345EFF7, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, + (q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AB6CBA3, + (q31_t)0x24677757, (q31_t)0x7A9A0E4F, (q31_t)0x24C7CD32, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A5FB0D8, + (q31_t)0x2588349D, (q31_t)0x7A4210D8, (q31_t)0x25E845B5, + (q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A05EEAD, + (q31_t)0x26A82185, (q31_t)0x79E76CA6, (q31_t)0x2707EBC6, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79A98715, + (q31_t)0x27C737D2, (q31_t)0x798A23B1, (q31_t)0x2826B928, + (q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x794A7C11, + (q31_t)0x28E5714A, (q31_t)0x792A37FE, (q31_t)0x2944A7A2, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78E8CFB1, + (q31_t)0x2A02C7B8, (q31_t)0x78C7ABA1, (q31_t)0x2A61B101, + (q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x786280BF, (q31_t)0x2B7DCF17, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x781D9B64, + (q31_t)0x2C3AB2B9, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, + (q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77B417DF, + (q31_t)0x2D553AFB, (q31_t)0x7790583D, (q31_t)0x2DB330C7, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7747FBCE, + (q31_t)0x2E6EC792, (q31_t)0x77235F2D, (q31_t)0x2ECC681E, + (q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76D94988, + (q31_t)0x2F875262, (q31_t)0x76B3D0B3, (q31_t)0x2FE49BA6, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x76680376, + (q31_t)0x309ED555, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x75F42C0A, + (q31_t)0x31B54A5D, (q31_t)0x75CCFD42, (q31_t)0x3211DF03, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x757DC5CA, + (q31_t)0x32CAAB6F, (q31_t)0x7555BD4B, (q31_t)0x3326E2C2, + (q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x7504D345, + (q31_t)0x33DEF287, (q31_t)0x74DBF1EF, (q31_t)0x343ACA87, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x7489571B, + (q31_t)0x34F219A7, (q31_t)0x745F9DD1, (q31_t)0x354D9056, + (q31_t)0x74359CBD, (q31_t)0x35A8E624, (q31_t)0x740B53FA, + (q31_t)0x36041AD9, (q31_t)0x73E0C3A3, (q31_t)0x365F2E3B, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x738ACC9E, + (q31_t)0x3714F02A, (q31_t)0x735F6626, (q31_t)0x376F9E46, + (q31_t)0x7333B883, (q31_t)0x37CA2A30, (q31_t)0x7307C3D0, + (q31_t)0x382493B0, (q31_t)0x72DB8828, (q31_t)0x387EDA8E, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72823C66, + (q31_t)0x3932FF87, (q31_t)0x72552C84, (q31_t)0x398CDD32, + (q31_t)0x7227D61C, (q31_t)0x39E6975D, (q31_t)0x71FA3948, + (q31_t)0x3A402DD1, (q31_t)0x71CC5626, (q31_t)0x3A99A057, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x716FBD68, + (q31_t)0x3B4C18BA, (q31_t)0x71410804, (q31_t)0x3BA51E29, + (q31_t)0x71120CC5, (q31_t)0x3BFDFECD, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x70B34524, (q31_t)0x3CAF50DA, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70536771, + (q31_t)0x3D600D2B, (q31_t)0x70231099, (q31_t)0x3DB832A5, + (q31_t)0x6FF27496, (q31_t)0x3E10320D, (q31_t)0x6FC19385, + (q31_t)0x3E680B2C, (q31_t)0x6F906D84, (q31_t)0x3EBFBDCC, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6F2D532C, + (q31_t)0x3F6EAEB8, (q31_t)0x6EFB5F12, (q31_t)0x3FC5EC97, + (q31_t)0x6EC92682, (q31_t)0x401D0320, (q31_t)0x6E96A99C, + (q31_t)0x4073F21D, (q31_t)0x6E63E87F, (q31_t)0x40CAB957, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DFD9A1B, + (q31_t)0x4177CFB0, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6D963C54, (q31_t)0x42244480, (q31_t)0x6D6227FA, + (q31_t)0x427A41D0, (q31_t)0x6D2DD027, (q31_t)0x42D0161E, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6CC45697, + (q31_t)0x437B42E1, (q31_t)0x6C8F351C, (q31_t)0x43D09AEC, + (q31_t)0x6C59D0A9, (q31_t)0x4425C923, (q31_t)0x6C242960, + (q31_t)0x447ACD50, (q31_t)0x6BEE3F62, (q31_t)0x44CFA73F, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B81A3CD, + (q31_t)0x4578DB93, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, + (q31_t)0x6B13FEF5, (q31_t)0x4621647C, (q31_t)0x6ADCC964, + (q31_t)0x46756827, (q31_t)0x6AA551E8, (q31_t)0x46C9405C, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x6A359DB9, + (q31_t)0x47706D93, (q31_t)0x69FD614A, (q31_t)0x47C3C22E, + (q31_t)0x69C4E37A, (q31_t)0x4816EA85, (q31_t)0x698C246C, + (q31_t)0x4869E664, (q31_t)0x69532442, (q31_t)0x48BCB598, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68E06129, + (q31_t)0x4961CD32, (q31_t)0x68A69E81, (q31_t)0x49B41533, + (q31_t)0x686C9B4B, (q31_t)0x4A062FBD, (q31_t)0x683257AA, + (q31_t)0x4A581C9D, (q31_t)0x67F7D3C4, (q31_t)0x4AA9DBA1, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x67820BB6, + (q31_t)0x4B4CCF4D, (q31_t)0x6746C7D7, (q31_t)0x4B9E038F, + (q31_t)0x670B4443, (q31_t)0x4BEF092D, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x66937E90, (q31_t)0x4C9087B1, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x661ABBC5, + (q31_t)0x4D31494B, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, + (q31_t)0x65A0FD0B, (q31_t)0x4DD14C6E, (q31_t)0x6563BF92, + (q31_t)0x4E210617, (q31_t)0x6526438E, (q31_t)0x4E708F8F, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x64AA907F, + (q31_t)0x4F0F1126, (q31_t)0x646C59BF, (q31_t)0x4F5E08E3, + (q31_t)0x642DE50D, (q31_t)0x4FACCFAB, (q31_t)0x63EF328F, + (q31_t)0x4FFB654D, (q31_t)0x63B0426D, (q31_t)0x5049C999, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x6331A9D4, + (q31_t)0x50E5FD6C, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x62B21C7B, (q31_t)0x518169A4, (q31_t)0x6271FA69, + (q31_t)0x51CED46E, (q31_t)0x62319B9D, (q31_t)0x521C0CC1, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x61B02876, + (q31_t)0x52B5E545, (q31_t)0x616F146B, (q31_t)0x53028517, + (q31_t)0x612DC446, (q31_t)0x534EF1B5, (q31_t)0x60EC3830, + (q31_t)0x539B2AEF, (q31_t)0x60AA704F, (q31_t)0x53E73097, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x60262DD5, + (q31_t)0x547EA073, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, + (q31_t)0x5FA0FE1E, (q31_t)0x55153FD4, (q31_t)0x5F5E0DB3, + (q31_t)0x556040E2, (q31_t)0x5F1AE273, (q31_t)0x55AB0D46, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E93DC1F, + (q31_t)0x56400757, (q31_t)0x5E50015D, (q31_t)0x568A34A9, + (q31_t)0x5E0BEC6E, (q31_t)0x56D42C99, (q31_t)0x5DC79D7C, + (q31_t)0x571DEEF9, (q31_t)0x5D8314B0, (q31_t)0x57677B9D, + (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CF95638, + (q31_t)0x57F9F2F7, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, + (q31_t)0x5C6EB258, (q31_t)0x588B913F, (q31_t)0x5C290ACC, + (q31_t)0x58D40E8C, (q31_t)0x5BE32A67, (q31_t)0x591C550E, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B56BFBD, + (q31_t)0x59AC3CFD, (q31_t)0x5B1035CF, (q31_t)0x59F3DE12, + (q31_t)0x5AC973B4, (q31_t)0x5A3B47AA, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x5A3B47AA, (q31_t)0x5AC973B4, + (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59AC3CFD, + (q31_t)0x5B56BFBD, (q31_t)0x59646497, (q31_t)0x5B9D1153, + (q31_t)0x591C550E, (q31_t)0x5BE32A67, (q31_t)0x58D40E8C, + (q31_t)0x5C290ACC, (q31_t)0x588B913F, (q31_t)0x5C6EB258, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57F9F2F7, + (q31_t)0x5CF95638, (q31_t)0x57B0D256, (q31_t)0x5D3E5236, + (q31_t)0x57677B9D, (q31_t)0x5D8314B0, (q31_t)0x571DEEF9, + (q31_t)0x5DC79D7C, (q31_t)0x56D42C99, (q31_t)0x5E0BEC6E, + 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(q31_t)0x9447ED2F, (q31_t)0xBB3058C0, + (q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, + (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513, + (q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1, + (q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805, + (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8, + (q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, + (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368, + (q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233, + (q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A, + (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A, + (q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25, + (q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7, + (q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8, + (q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7, + (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD, + (q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571, + (q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, + (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA, + (q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4, + (q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05, + (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9, + (q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578, + (q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, + (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D, + (q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC, + (q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5, + (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459, + (q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677, + (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1, + (q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38, + (q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820, + (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445, + (q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8, + (q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE, + (q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D, + (q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE, + (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7, + (q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439, + (q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, + (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A, + (q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD, + (q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C, + (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781, + (q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220, + (q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, + (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60, + (q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2, + (q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF, + (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1, + (q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422, + (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C, + (q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB, + (q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8, + (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA, + (q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616, + (q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917, + (q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273, + (q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758, + (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB, + (q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80, + (q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, + (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F, + (q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2, + (q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6, + (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31, + (q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752, + (q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, + (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A, + (q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89, + (q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF, + (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260, + (q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D, + (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743, + (q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5, + (q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D, + (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461, + (q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90, + (q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872, + (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB, + (q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89, + (q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88, + (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541, + (q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69, + (q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5, + (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078, + (q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_4096_q31[6144] = +{ + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621, + (q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3, + (q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216, + (q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F, + (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64, + (q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, + (q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F, + (q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17, + (q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4, + (q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96, + (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553, + (q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, + (q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790, + (q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840, + (q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C, + (q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B, + (q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF, + (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518, + (q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152, + (q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23, + (q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE, + (q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596, + (q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1, + (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7, + (q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, + (q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494, + (q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C, + (q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89, + (q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC, + (q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE, + (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226, + (q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, + (q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B, + (q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD, + (q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389, + (q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865, + (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654, + (q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, + 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(q31_t)0x81F3C2D7, (q31_t)0xE9EC66E8, + (q31_t)0x81EB0DBD, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xEA4F73EE, (q31_t)0x81D9DDE1, (q31_t)0xEA80FF79, + (q31_t)0x81D16320, (q31_t)0xEAB28E55, (q31_t)0x81C8FBD5, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB15B5E0, + (q31_t)0x81B867A4, (q31_t)0xEB474E80, (q31_t)0x81B03AC1, + (q31_t)0xEB78EA52, (q31_t)0x81A82159, (q31_t)0xEBAA894E, + (q31_t)0x81A01B6C, (q31_t)0xEBDC2B6D, (q31_t)0x819828FD, + (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC3F78F5, + (q31_t)0x81887E9A, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, + (q31_t)0xECA2D2AC, (q31_t)0x8179223A, (q31_t)0xECD48406, + (q31_t)0x8171914E, (q31_t)0xED063855, (q31_t)0x816A13E6, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED69A9B2, + (q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3, + (q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B, + (q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90, + (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0, + (q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, + (q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243, + (q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44, + (q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3, + (q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB, + (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23, + (q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, + (q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662, + (q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0, + (q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C, + (q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D, + (q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB, + (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A, + (q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76, + (q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231, + (q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74, + (q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA, + (q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9, + (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01, + (q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143, + (q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076, + (q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188, + (q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B, + (q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65, + (q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248, + (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E, + (q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69, + (q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41, + (q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E, + (q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD, + (q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7, + (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820, + (q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, + (q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4, + (q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C, + (q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F, + (q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919, + (q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC, + (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569, + (q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, + (q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B, + (q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E, + (q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0, + (q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0, + (q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B, + (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0, + (q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9, + (q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D, + (q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +/** + @brief q15 Twiddle factors Table +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) + +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
fori = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_16_q15[24] = { + (q15_t)0x7FFF, (q15_t)0x0000, + (q15_t)0x7641, (q15_t)0x30FB, + (q15_t)0x5A82, (q15_t)0x5A82, + (q15_t)0x30FB, (q15_t)0x7641, + (q15_t)0x0000, (q15_t)0x7FFF, + (q15_t)0xCF04, (q15_t)0x7641, + (q15_t)0xA57D, (q15_t)0x5A82, + (q15_t)0x89BE, (q15_t)0x30FB, + (q15_t)0x8000, (q15_t)0x0000, + (q15_t)0x89BE, (q15_t)0xCF04, + (q15_t)0xA57D, (q15_t)0xA57D, + (q15_t)0xCF04, (q15_t)0x89BE +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_32_q15[48] = { + (q15_t)0x7FFF, (q15_t)0x0000, + (q15_t)0x7D8A, (q15_t)0x18F8, + (q15_t)0x7641, (q15_t)0x30FB, + (q15_t)0x6A6D, (q15_t)0x471C, + (q15_t)0x5A82, (q15_t)0x5A82, + (q15_t)0x471C, (q15_t)0x6A6D, + (q15_t)0x30FB, (q15_t)0x7641, + (q15_t)0x18F8, (q15_t)0x7D8A, + (q15_t)0x0000, (q15_t)0x7FFF, + (q15_t)0xE707, (q15_t)0x7D8A, + (q15_t)0xCF04, (q15_t)0x7641, + (q15_t)0xB8E3, (q15_t)0x6A6D, + (q15_t)0xA57D, (q15_t)0x5A82, + (q15_t)0x9592, (q15_t)0x471C, + (q15_t)0x89BE, (q15_t)0x30FB, + (q15_t)0x8275, (q15_t)0x18F8, + (q15_t)0x8000, (q15_t)0x0000, + (q15_t)0x8275, (q15_t)0xE707, + (q15_t)0x89BE, (q15_t)0xCF04, + (q15_t)0x9592, (q15_t)0xB8E3, + (q15_t)0xA57D, (q15_t)0xA57D, + (q15_t)0xB8E3, (q15_t)0x9592, + (q15_t)0xCF04, (q15_t)0x89BE, + (q15_t)0xE707, (q15_t)0x8275 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_64_q15[96] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_128_q15[192] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_256_q15[384] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_512_q15[768] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F, + (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9, + (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909, + (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF, + (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89, + (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6, + (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5, + (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87, + (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9, + (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD, + (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2, + (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38, + (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F, + (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39, + (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5, + (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05, + (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA, + (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5, + (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307, + (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023, + (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9, + (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C, + (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD, + (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1, + (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7, + (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964, + (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA, + (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB, + (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB, + (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD, + (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073, + (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2, + (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D, + (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87, + (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3, + (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6, + (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93, + (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D, + (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139, + (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB, + (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6, + (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D, + (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826, + (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4, + (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA, + (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D, + (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60, + (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957, + (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367, + (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91, + (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB, + (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247, + (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA, + (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796, + (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + + */ +const q15_t twiddleCoef_1024_q15[1536] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524, + (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3, + (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58, + (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1, + (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E, + (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE, + (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433, + (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A, + (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4, + (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10, + (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E, + (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E, + (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F, + (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371, + (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563, + (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746, + (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919, + (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC, + (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F, + (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30, + (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1, + (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141, + (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF, + (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F, + 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(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975, + (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B, + (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF, + (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1, + (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1, + (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90, + (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E, + (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C, + (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9, + (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6, + (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370, + (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF, + (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E, + (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE, + (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50, + (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4, + (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA, + (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971, + (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B, + (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_2048_q15[3072] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064, + (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6, + (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388, + (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A, + (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC, + (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D, + (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE, + (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F, + (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF, + (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F, + (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F15, (q15_t)0x0F47, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EFD, (q15_t)0x100E, + (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE3, (q15_t)0x10D6, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EC8, (q15_t)0x119D, + (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EAB, (q15_t)0x1264, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E8E, (q15_t)0x132B, + (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E6F, (q15_t)0x13F2, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E4F, (q15_t)0x14B8, + (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E2E, (q15_t)0x157F, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E0C, (q15_t)0x1645, + (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DE8, (q15_t)0x170A, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DC3, (q15_t)0x17D0, + (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7D9D, (q15_t)0x1896, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D76, (q15_t)0x195B, + (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D4E, (q15_t)0x1A20, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D24, (q15_t)0x1AE4, + (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7CF9, (q15_t)0x1BA9, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CCD, (q15_t)0x1C6D, + (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CA0, (q15_t)0x1D31, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C71, (q15_t)0x1DF5, + (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C42, (q15_t)0x1EB8, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C11, (q15_t)0x1F7B, + (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BDF, (q15_t)0x203E, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BAC, (q15_t)0x2100, + (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B77, (q15_t)0x21C2, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B42, (q15_t)0x2284, + (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B0B, (q15_t)0x2345, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AD3, (q15_t)0x2407, + (q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7A9A, (q15_t)0x24C7, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A5F, (q15_t)0x2588, + (q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A24, (q15_t)0x2648, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79E7, (q15_t)0x2707, + (q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79A9, (q15_t)0x27C7, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x796A, (q15_t)0x2886, + (q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x792A, (q15_t)0x2944, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78E8, (q15_t)0x2A02, + (q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78A6, (q15_t)0x2AC0, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7862, (q15_t)0x2B7D, + (q15_t)0x7840, (q15_t)0x2BDC, (q15_t)0x781D, (q15_t)0x2C3A, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77D7, (q15_t)0x2CF7, + (q15_t)0x77B4, (q15_t)0x2D55, (q15_t)0x7790, (q15_t)0x2DB3, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7747, (q15_t)0x2E6E, + (q15_t)0x7723, (q15_t)0x2ECC, (q15_t)0x76FE, (q15_t)0x2F29, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x76B3, (q15_t)0x2FE4, + (q15_t)0x768E, (q15_t)0x3041, (q15_t)0x7668, (q15_t)0x309E, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x761B, (q15_t)0x3158, + (q15_t)0x75F4, (q15_t)0x31B5, (q15_t)0x75CC, (q15_t)0x3211, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x757D, (q15_t)0x32CA, + (q15_t)0x7555, (q15_t)0x3326, (q15_t)0x752D, (q15_t)0x3382, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74DB, (q15_t)0x343A, + (q15_t)0x74B2, (q15_t)0x3496, (q15_t)0x7489, (q15_t)0x34F2, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x7435, (q15_t)0x35A8, + (q15_t)0x740B, (q15_t)0x3604, (q15_t)0x73E0, (q15_t)0x365F, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x738A, (q15_t)0x3714, + (q15_t)0x735F, (q15_t)0x376F, (q15_t)0x7333, (q15_t)0x37CA, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72DB, (q15_t)0x387E, + (q15_t)0x72AF, (q15_t)0x38D8, (q15_t)0x7282, (q15_t)0x3932, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x7227, (q15_t)0x39E6, + (q15_t)0x71FA, (q15_t)0x3A40, (q15_t)0x71CC, (q15_t)0x3A99, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x716F, (q15_t)0x3B4C, + (q15_t)0x7141, (q15_t)0x3BA5, (q15_t)0x7112, (q15_t)0x3BFD, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x70B3, (q15_t)0x3CAF, + (q15_t)0x7083, (q15_t)0x3D07, (q15_t)0x7053, (q15_t)0x3D60, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FF2, (q15_t)0x3E10, + (q15_t)0x6FC1, (q15_t)0x3E68, (q15_t)0x6F90, (q15_t)0x3EBF, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6F2D, (q15_t)0x3F6E, + (q15_t)0x6EFB, (q15_t)0x3FC5, (q15_t)0x6EC9, (q15_t)0x401D, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E63, (q15_t)0x40CA, + (q15_t)0x6E30, (q15_t)0x4121, (q15_t)0x6DFD, (q15_t)0x4177, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D96, (q15_t)0x4224, + (q15_t)0x6D62, (q15_t)0x427A, (q15_t)0x6D2D, (q15_t)0x42D0, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6CC4, (q15_t)0x437B, + (q15_t)0x6C8F, (q15_t)0x43D0, (q15_t)0x6C59, (q15_t)0x4425, + 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(q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306, + (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1, + (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262, + (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217, + (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1, + (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190, + (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154, + (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C, + (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA, + (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC, + (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094, + (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070, + (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051, + (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037, + (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022, + (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012, + (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007, + (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001, + (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_4096_q15[6144] = +{ + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032, + (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096, + (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB, + (q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4, + (q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228, + (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D, + (q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356, + (q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA, + (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F, + (q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8, + (q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C, + (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1, + (q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A, + (q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE, + (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742, + (q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B, + (q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F, + (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4, + (q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C, + (q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00, + (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65, + (q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D, + (q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91, + (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5, + (q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD, + (q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21, + (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85, + (q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D, + (q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1, + (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15, + (q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD, + (q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040, + (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4, + (q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B, + (q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF, + (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EB3, (q15_t)0x1232, + (q15_t)0x7EAB, (q15_t)0x1264, (q15_t)0x7EA4, (q15_t)0x1296, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E95, (q15_t)0x12F9, + (q15_t)0x7E8E, (q15_t)0x132B, (q15_t)0x7E86, (q15_t)0x135D, + (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E77, (q15_t)0x13C0, + (q15_t)0x7E6F, (q15_t)0x13F2, (q15_t)0x7E67, (q15_t)0x1423, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E57, (q15_t)0x1487, + (q15_t)0x7E4F, (q15_t)0x14B8, (q15_t)0x7E47, (q15_t)0x14EA, + (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E37, (q15_t)0x154D, + (q15_t)0x7E2E, (q15_t)0x157F, (q15_t)0x7E26, (q15_t)0x15B0, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E14, (q15_t)0x1613, + (q15_t)0x7E0C, (q15_t)0x1645, (q15_t)0x7E03, (q15_t)0x1676, + (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DF1, (q15_t)0x16D9, + (q15_t)0x7DE8, (q15_t)0x170A, (q15_t)0x7DDF, (q15_t)0x173C, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DCD, (q15_t)0x179F, + (q15_t)0x7DC3, (q15_t)0x17D0, (q15_t)0x7DBA, (q15_t)0x1802, + (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7DA7, (q15_t)0x1864, + (q15_t)0x7D9D, (q15_t)0x1896, (q15_t)0x7D94, (q15_t)0x18C7, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D80, (q15_t)0x192A, + (q15_t)0x7D76, (q15_t)0x195B, (q15_t)0x7D6C, (q15_t)0x198C, + (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D58, (q15_t)0x19EF, + (q15_t)0x7D4E, (q15_t)0x1A20, (q15_t)0x7D43, (q15_t)0x1A51, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D2F, (q15_t)0x1AB3, + (q15_t)0x7D24, (q15_t)0x1AE4, (q15_t)0x7D19, (q15_t)0x1B16, + (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7D04, (q15_t)0x1B78, + (q15_t)0x7CF9, (q15_t)0x1BA9, (q15_t)0x7CEE, (q15_t)0x1BDA, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CD8, (q15_t)0x1C3C, + (q15_t)0x7CCD, (q15_t)0x1C6D, (q15_t)0x7CC2, (q15_t)0x1C9E, + (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CAB, (q15_t)0x1D00, + (q15_t)0x7CA0, (q15_t)0x1D31, (q15_t)0x7C94, (q15_t)0x1D62, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C7D, (q15_t)0x1DC4, + (q15_t)0x7C71, (q15_t)0x1DF5, (q15_t)0x7C66, (q15_t)0x1E25, + (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C4E, (q15_t)0x1E87, + (q15_t)0x7C42, (q15_t)0x1EB8, (q15_t)0x7C36, (q15_t)0x1EE9, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C1D, (q15_t)0x1F4A, + (q15_t)0x7C11, (q15_t)0x1F7B, (q15_t)0x7C05, (q15_t)0x1FAC, + (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BEB, (q15_t)0x200D, + (q15_t)0x7BDF, (q15_t)0x203E, (q15_t)0x7BD2, (q15_t)0x206E, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BB9, (q15_t)0x20D0, + (q15_t)0x7BAC, (q15_t)0x2100, (q15_t)0x7B9F, (q15_t)0x2131, + (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B84, (q15_t)0x2192, + (q15_t)0x7B77, (q15_t)0x21C2, (q15_t)0x7B6A, (q15_t)0x21F3, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B4F, (q15_t)0x2254, + (q15_t)0x7B42, (q15_t)0x2284, (q15_t)0x7B34, (q15_t)0x22B4, + (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B19, (q15_t)0x2315, + (q15_t)0x7B0B, (q15_t)0x2345, (q15_t)0x7AFD, (q15_t)0x2376, + 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(q15_t)0x9842, (q15_t)0xB504, (q15_t)0x9860, (q15_t)0xB4DB, + (q15_t)0x987D, (q15_t)0xB4B3, (q15_t)0x989B, (q15_t)0xB48A, + (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98D6, (q15_t)0xB439, + (q15_t)0x98F4, (q15_t)0xB410, (q15_t)0x9912, (q15_t)0xB3E8, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x994E, (q15_t)0xB397, + (q15_t)0x996C, (q15_t)0xB36F, (q15_t)0x998A, (q15_t)0xB347, + (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99C6, (q15_t)0xB2F6, + (q15_t)0x99E5, (q15_t)0xB2CE, (q15_t)0x9A03, (q15_t)0xB2A6, + (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A40, (q15_t)0xB256, + (q15_t)0x9A5F, (q15_t)0xB22E, (q15_t)0x9A7D, (q15_t)0xB206, + (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9ABA, (q15_t)0xB1B7, + (q15_t)0x9AD9, (q15_t)0xB18F, (q15_t)0x9AF8, (q15_t)0xB167, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B36, (q15_t)0xB118, + (q15_t)0x9B55, (q15_t)0xB0F0, (q15_t)0x9B74, (q15_t)0xB0C9, + (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BB2, (q15_t)0xB07A, + (q15_t)0x9BD2, (q15_t)0xB053, (q15_t)0x9BF1, (q15_t)0xB02B, + (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C30, (q15_t)0xAFDD, + (q15_t)0x9C4F, (q15_t)0xAFB6, (q15_t)0x9C6F, (q15_t)0xAF8F, + (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CAE, (q15_t)0xAF40, + (q15_t)0x9CCE, (q15_t)0xAF1A, (q15_t)0x9CEE, (q15_t)0xAEF3, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D2D, (q15_t)0xAEA5, + (q15_t)0x9D4D, (q15_t)0xAE7E, (q15_t)0x9D6D, (q15_t)0xAE57, + (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DAE, (q15_t)0xAE0A, + (q15_t)0x9DCE, (q15_t)0xADE3, (q15_t)0x9DEE, (q15_t)0xADBD, + (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E2F, (q15_t)0xAD70, + (q15_t)0x9E4F, (q15_t)0xAD4A, (q15_t)0x9E70, (q15_t)0xAD23, + (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9EB1, (q15_t)0xACD7, + (q15_t)0x9ED2, (q15_t)0xACB1, (q15_t)0x9EF2, (q15_t)0xAC8A, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F34, (q15_t)0xAC3E, + (q15_t)0x9F55, (q15_t)0xAC18, (q15_t)0x9F76, (q15_t)0xABF2, + (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FB8, (q15_t)0xABA7, + (q15_t)0x9FD9, (q15_t)0xAB81, (q15_t)0x9FFB, (q15_t)0xAB5B, + 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(q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7BF, (q15_t)0x9657, + (q15_t)0xB7E9, (q15_t)0x963B, (q15_t)0xB812, (q15_t)0x961E, + (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB865, (q15_t)0x95E6, + (q15_t)0xB88F, (q15_t)0x95CA, (q15_t)0xB8B9, (q15_t)0x95AE, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB90C, (q15_t)0x9576, + (q15_t)0xB936, (q15_t)0x955A, (q15_t)0xB960, (q15_t)0x953E, + (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9B4, (q15_t)0x9507, + (q15_t)0xB9DE, (q15_t)0x94EC, (q15_t)0xBA08, (q15_t)0x94D0, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA5C, (q15_t)0x9499, + (q15_t)0xBA87, (q15_t)0x947E, (q15_t)0xBAB1, (q15_t)0x9463, + (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB05, (q15_t)0x942C, + (q15_t)0xBB30, (q15_t)0x9411, (q15_t)0xBB5A, (q15_t)0x93F6, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBAF, (q15_t)0x93C0, + (q15_t)0xBBDA, (q15_t)0x93A6, (q15_t)0xBC04, (q15_t)0x938B, + (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC5A, (q15_t)0x9356, + (q15_t)0xBC84, (q15_t)0x933B, (q15_t)0xBCAF, (q15_t)0x9321, + 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(q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3, + (q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1, + (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE, + (q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A, + (q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749, + (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727, + (q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6, + (q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5, + (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5, + (q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666, + (q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646, + (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627, + (q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA, + (q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC, + (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF, + (q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574, + (q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557, + (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A, + (q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502, + (q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6, + (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB, + (q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495, + (q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B, + (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460, + (q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D, + (q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414, + (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA, + (q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9, + (q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1, + (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399, + (q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B, + (q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354, + (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D, + (q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311, + (q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB, + (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6, + (q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC, + (q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7, + (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293, + (q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B, + (q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258, + (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245, + (q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220, + (q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E, + (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC, + (q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9, + (q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8, + (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8, + (q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198, + (q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188, + (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179, + (q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B, + (q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C, + (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E, + (q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123, + (q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116, + (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109, + (q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0, + (q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4, + (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8, + (q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2, + (q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7, + (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC, + (q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098, + (q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F, + (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086, + (q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074, + (q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C, + (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064, + (q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055, + (q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E, + (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047, + (q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A, + (q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034, + (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F, + (q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025, + (q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020, + (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C, + (q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014, + (q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011, + (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D, + (q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008, + (q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006, + (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004, + (q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001, + (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000, + (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000, + (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +/** + @} end of CFFT_CIFFT group +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16) + +const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH] = +{ + /* radix 4, size 12 */ + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32) +const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH] = +{ + /* 4x2, size 24 */ + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64) +const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH] = +{ + /* radix 4, size 56 */ + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128) +const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH] = +{ + /* 4x2, size 112 */ + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256) +const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH] = +{ + /* radix 4, size 240 */ + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512) +const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH] = +{ + /* 4x2, size 480 */ + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024) +const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH] = +{ + /* radix 4, size 992 */ + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048) +const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH] = +{ + /* 4x2, size 1984 */ + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 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10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096) +const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH] = +{ + /* radix 4, size 4032 */ + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, + 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, + 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, + 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, + 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, + 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, + 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, + 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, + 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, + 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, + 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, + 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, + 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, + 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, + 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, + 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, + 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, + 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, + 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, + 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, + 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, + 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, + 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, + 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, + 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, + 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, + 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, + 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, + 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, + 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, + 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, + 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, + 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, + 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, + 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, + 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, + 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, + 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, + 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, + 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, + 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, + 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, + 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, + 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, + 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, + 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, + 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, + 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, + 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, + 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, + 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, + 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, + 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, + 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, + 4232,17440, 4240,9248, 4248,25632, 4256,5152, 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22200,30120, 22232,28072, 22248,23976, + 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, + 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, + 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, + 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, + 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, + 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, + 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, + 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, + 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, + 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, + 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, + 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, + 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, + 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, + 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, + 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, + 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, + 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, + 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, + 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, + 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, + 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, + 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, + 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, + 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, + 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, + 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16) + +const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] = +{ + /* 8x2, size 20 */ + 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32) + +const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] = +{ + /* 8x4, size 48 */ + 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, + 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, + 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64) + +const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] = +{ + /* radix 8, size 56 */ + 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, + 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, + 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, + 368,424, 376,488, 440,496 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128) + +const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = +{ + /* 8x2, size 208 */ + 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, + 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, + 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, + 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, + 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, + 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, + 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, + 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, + 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, + 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, + 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, + 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, + 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256) + +const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = +{ + /* 8x4, size 440 */ + 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, + 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, + 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, + 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, + 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, + 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, + 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, + 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, + 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, + 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, + 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, + 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, + 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, + 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, + 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, + 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, + 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, + 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, + 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, + 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, + 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, + 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, + 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, + 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, + 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, + 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, + 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, + 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, + 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, + 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, + 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, + 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, + 1960,1968, 2008,2032, 1992,2016, 2024,2032 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512) + +const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = +{ + /* radix 8, size 448 */ + 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, + 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, + 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, + 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, + 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, + 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, + 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, + 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, + 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, + 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, + 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, + 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, + 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, + 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, + 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, + 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, + 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, + 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, + 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, + 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, + 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, + 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, + 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, + 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, + 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, + 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, + 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, + 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, + 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, + 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, + 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, + 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, + 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, + 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, + 3448,3952, 3512,4016, 3576,4080 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024) + +const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] = +{ + /* 8x2, size 1800 */ + 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, + 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, + 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, + 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, + 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, + 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, + 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, + 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, + 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, + 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, + 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, + 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, + 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, + 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, + 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, + 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, + 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, + 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, + 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, + 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, + 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, + 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, + 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, + 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, + 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, + 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, + 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, + 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, + 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, + 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, + 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, + 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, + 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, + 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, + 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, + 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, + 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, + 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, + 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, + 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, + 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, + 2152,7184, 2160,3600, 2168,7696, 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7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, + 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, + 8112,8136, 8120,8168, 8136,8160, 8152,8176 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048) + +const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] = +{ + /* 8x2, size 3808 */ + 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, + 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, + 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, + 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, + 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, + 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, + 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, + 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, + 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, + 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, + 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, + 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, + 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, + 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, + 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, + 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, + 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, + 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, + 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, + 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, + 1128,5888, 1136,9984, 1144,14080, 1152,2304, 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1856,3392, + 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, + 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, + 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, + 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, + 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, + 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, + 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, + 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, + 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, + 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, + 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, + 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, + 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, + 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, + 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16216,16240, 16224,16320, 16232,16336, 16240,16352, + 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, + 16328,16352, 16360,16368 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096) + +const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] = +{ + /* radix 8, size 4032 */ + 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, + 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, + 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, + 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, + 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, + 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, + 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, + 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, + 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, + 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, + 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, + 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, + 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, + 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, + 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, + 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, + 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, + 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, + 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, + 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, + 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, + 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, + 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, + 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, + 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, + 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, + 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, + 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, + 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, + 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, + 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, + 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, + 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, + 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, + 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, + 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, + 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, + 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, + 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, + 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, + 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, + 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, + 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, + 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, + 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, + 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, + 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, + 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, 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25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, + 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, + 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, + 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, + 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, + 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, + 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, + 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, + 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, + 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, + 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, + 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, + 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, + 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, + 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, + 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, + 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, + 32248,32696 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + +const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] = +{ + /* radix 4, size 12 */ + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) +const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] = +{ + /* 4x2, size 24 */ + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) +const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] = +{ + /* radix 4, size 56 */ + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) +const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] = +{ + /* 4x2, size 112 */ + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) +const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] = +{ + /* radix 4, size 240 */ + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) +const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] = +{ + /* 4x2, size 480 */ + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) +const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = +{ + /* radix 4, size 992 */ + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) +const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = +{ + /* 4x2, size 1984 */ + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, + 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, + 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, + 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, + 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, + 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, + 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, + 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, + 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, + 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, + 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, + 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, + 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, + 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, + 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) +const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = +{ + /* radix 4, size 4032 */ + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 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11096,27472, 11112,23376, 11120,15184, + 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544, + 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592, + 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640, + 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808, + 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760, + 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008, + 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440, + 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176, + 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848, + 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088, + 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968, + 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824, + 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648, + 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384, + 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624, + 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528, + 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768, + 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504, + 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136, + 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088, + 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872, + 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304, + 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928, + 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808, + 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664, + 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248, + 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416, + 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368, + 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848, + 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584, + 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728, + 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360, + 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096, + 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336, + 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912, + 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152, + 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080, + 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424, + 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664, + 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592, + 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592, + 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520, + 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664, + 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296, + 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032, + 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176, + 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040, + 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968, + 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728, + 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312, + 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384, + 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624, + 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864, + 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936, + 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328, + 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472, + 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400, + 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976, + 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, + 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, + 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, + 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, + 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, + 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, + 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, + 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, + 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, + 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, + 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, + 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, + 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, + 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, + 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, + 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, + 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, + 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, + 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, + 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, + 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, + 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, + 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, + 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, + 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, + 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, + 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, + 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, + 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, + 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, + 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, + 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, + 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, + 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, + 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, + 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, + 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, + 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, + 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, + 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, + 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, + 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, + 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, + 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, + 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, + 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, + 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, + 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, + 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, + 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, + 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, + 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, + 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, + 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, + 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, + 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, + 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, + 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, + 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, + 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, + 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, + 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, + 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, + 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, + 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, + 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, + 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, + 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, + 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, + 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, + 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, + 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, + 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, + 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, + 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, + 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, + 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, + 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, + 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, + 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, + 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32) +/** + @par + Example code for Double Precision Floating-point RFFT Twiddle factors Generation: + @par + 
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'
+ @par + Real and Imag values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_rfft_32[32] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, //0.19509, 0.98079 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, //0.38268, 0.92388 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, //0.55557, 0.83147 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //0.70711, 0.70711 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, //0.83147, 0.55557 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, //0.92388, 0.38268 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, //0.98079, 0.19509 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, //0.98079,-0.19509 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, //0.92388,-0.38268 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, //0.83147,-0.55557 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //0.70711,-0.70711 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, //0.55557,-0.83147 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, //0.38268,-0.92388 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, //0.19509,-0.98079 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) +const uint64_t twiddleCoefF64_rfft_64[64] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) +const uint64_t twiddleCoefF64_rfft_128[128] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) +const uint64_t twiddleCoefF64_rfft_256[256] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997 + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) +const uint64_t twiddleCoefF64_rfft_512[512] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, //0.012272, 0.99992' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997' + 0x3fa2d865759455cd, 0x3feffa72effef75d, //0.036807, 0.99932' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3faf656e79f820e0, 0x3feff095658e71ad, //0.061321, 0.99812' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //0.085797, 0.99631' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //0.085797, -0.99631' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, //0.061321, -0.99812' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, //0.036807, -0.99932' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, //0.012272, -0.99992' + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) +const uint64_t twiddleCoefF64_rfft_1024[1024] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992' + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997' + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953' + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932' + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848' + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812' + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729' + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631' + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272' + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541' + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807' + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068' + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321' + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565' + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797' + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017' + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631' + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729' + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812' + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932' + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997' + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992' + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) +const uint64_t twiddleCoefF64_rfft_2048[2048] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) +const uint64_t twiddleCoefF64_rfft_4096[4096] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, //0.0046019, 0.99999 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, //0.0076698, 0.99997 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, //0.0076698, -0.99997 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, //0.0046019, -0.99999 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 +}; + +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) +/** + @par + Example code for Floating-point RFFT Twiddle factors Generation: + @par + 
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'
+ @par + Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { + 0.000000000f, 1.000000000f, + 0.195090322f, 0.980785280f, + 0.382683432f, 0.923879533f, + 0.555570233f, 0.831469612f, + 0.707106781f, 0.707106781f, + 0.831469612f, 0.555570233f, + 0.923879533f, 0.382683432f, + 0.980785280f, 0.195090322f, + 1.000000000f, 0.000000000f, + 0.980785280f, -0.195090322f, + 0.923879533f, -0.382683432f, + 0.831469612f, -0.555570233f, + 0.707106781f, -0.707106781f, + 0.555570233f, -0.831469612f, + 0.382683432f, -0.923879533f, + 0.195090322f, -0.980785280f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) +const float32_t twiddleCoef_rfft_64[64] = { + 0.000000000000000f, 1.000000000000000f, + 0.098017140329561f, 0.995184726672197f, + 0.195090322016128f, 0.980785280403230f, + 0.290284677254462f, 0.956940335732209f, + 0.382683432365090f, 0.923879532511287f, + 0.471396736825998f, 0.881921264348355f, + 0.555570233019602f, 0.831469612302545f, + 0.634393284163645f, 0.773010453362737f, + 0.707106781186547f, 0.707106781186548f, + 0.773010453362737f, 0.634393284163645f, + 0.831469612302545f, 0.555570233019602f, + 0.881921264348355f, 0.471396736825998f, + 0.923879532511287f, 0.382683432365090f, + 0.956940335732209f, 0.290284677254462f, + 0.980785280403230f, 0.195090322016128f, + 0.995184726672197f, 0.098017140329561f, + 1.000000000000000f, 0.000000000000000f, + 0.995184726672197f, -0.098017140329561f, + 0.980785280403230f, -0.195090322016128f, + 0.956940335732209f, -0.290284677254462f, + 0.923879532511287f, -0.382683432365090f, + 0.881921264348355f, -0.471396736825998f, + 0.831469612302545f, -0.555570233019602f, + 0.773010453362737f, -0.634393284163645f, + 0.707106781186548f, -0.707106781186547f, + 0.634393284163645f, -0.773010453362737f, + 0.555570233019602f, -0.831469612302545f, + 0.471396736825998f, -0.881921264348355f, + 0.382683432365090f, -0.923879532511287f, + 0.290284677254462f, -0.956940335732209f, + 0.195090322016129f, -0.980785280403230f, + 0.098017140329561f, -0.995184726672197f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) +const float32_t twiddleCoef_rfft_128[128] = { + 0.000000000f, 1.000000000f, + 0.049067674f, 0.998795456f, + 0.098017140f, 0.995184727f, + 0.146730474f, 0.989176510f, + 0.195090322f, 0.980785280f, + 0.242980180f, 0.970031253f, + 0.290284677f, 0.956940336f, + 0.336889853f, 0.941544065f, + 0.382683432f, 0.923879533f, + 0.427555093f, 0.903989293f, + 0.471396737f, 0.881921264f, + 0.514102744f, 0.857728610f, + 0.555570233f, 0.831469612f, + 0.595699304f, 0.803207531f, + 0.634393284f, 0.773010453f, + 0.671558955f, 0.740951125f, + 0.707106781f, 0.707106781f, + 0.740951125f, 0.671558955f, + 0.773010453f, 0.634393284f, + 0.803207531f, 0.595699304f, + 0.831469612f, 0.555570233f, + 0.857728610f, 0.514102744f, + 0.881921264f, 0.471396737f, + 0.903989293f, 0.427555093f, + 0.923879533f, 0.382683432f, + 0.941544065f, 0.336889853f, + 0.956940336f, 0.290284677f, + 0.970031253f, 0.242980180f, + 0.980785280f, 0.195090322f, + 0.989176510f, 0.146730474f, + 0.995184727f, 0.098017140f, + 0.998795456f, 0.049067674f, + 1.000000000f, 0.000000000f, + 0.998795456f, -0.049067674f, + 0.995184727f, -0.098017140f, + 0.989176510f, -0.146730474f, + 0.980785280f, -0.195090322f, + 0.970031253f, -0.242980180f, + 0.956940336f, -0.290284677f, + 0.941544065f, -0.336889853f, + 0.923879533f, -0.382683432f, + 0.903989293f, -0.427555093f, + 0.881921264f, -0.471396737f, + 0.857728610f, -0.514102744f, + 0.831469612f, -0.555570233f, + 0.803207531f, -0.595699304f, + 0.773010453f, -0.634393284f, + 0.740951125f, -0.671558955f, + 0.707106781f, -0.707106781f, + 0.671558955f, -0.740951125f, + 0.634393284f, -0.773010453f, + 0.595699304f, -0.803207531f, + 0.555570233f, -0.831469612f, + 0.514102744f, -0.857728610f, + 0.471396737f, -0.881921264f, + 0.427555093f, -0.903989293f, + 0.382683432f, -0.923879533f, + 0.336889853f, -0.941544065f, + 0.290284677f, -0.956940336f, + 0.242980180f, -0.970031253f, + 0.195090322f, -0.980785280f, + 0.146730474f, -0.989176510f, + 0.098017140f, -0.995184727f, + 0.049067674f, -0.998795456f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) +const float32_t twiddleCoef_rfft_256[256] = { + 0.000000000f, 1.000000000f, + 0.024541229f, 0.999698819f, + 0.049067674f, 0.998795456f, + 0.073564564f, 0.997290457f, + 0.098017140f, 0.995184727f, + 0.122410675f, 0.992479535f, + 0.146730474f, 0.989176510f, + 0.170961889f, 0.985277642f, + 0.195090322f, 0.980785280f, + 0.219101240f, 0.975702130f, + 0.242980180f, 0.970031253f, + 0.266712757f, 0.963776066f, + 0.290284677f, 0.956940336f, + 0.313681740f, 0.949528181f, + 0.336889853f, 0.941544065f, + 0.359895037f, 0.932992799f, + 0.382683432f, 0.923879533f, + 0.405241314f, 0.914209756f, + 0.427555093f, 0.903989293f, + 0.449611330f, 0.893224301f, + 0.471396737f, 0.881921264f, + 0.492898192f, 0.870086991f, + 0.514102744f, 0.857728610f, + 0.534997620f, 0.844853565f, + 0.555570233f, 0.831469612f, + 0.575808191f, 0.817584813f, + 0.595699304f, 0.803207531f, + 0.615231591f, 0.788346428f, + 0.634393284f, 0.773010453f, + 0.653172843f, 0.757208847f, + 0.671558955f, 0.740951125f, + 0.689540545f, 0.724247083f, + 0.707106781f, 0.707106781f, + 0.724247083f, 0.689540545f, + 0.740951125f, 0.671558955f, + 0.757208847f, 0.653172843f, + 0.773010453f, 0.634393284f, + 0.788346428f, 0.615231591f, + 0.803207531f, 0.595699304f, + 0.817584813f, 0.575808191f, + 0.831469612f, 0.555570233f, + 0.844853565f, 0.534997620f, + 0.857728610f, 0.514102744f, + 0.870086991f, 0.492898192f, + 0.881921264f, 0.471396737f, + 0.893224301f, 0.449611330f, + 0.903989293f, 0.427555093f, + 0.914209756f, 0.405241314f, + 0.923879533f, 0.382683432f, + 0.932992799f, 0.359895037f, + 0.941544065f, 0.336889853f, + 0.949528181f, 0.313681740f, + 0.956940336f, 0.290284677f, + 0.963776066f, 0.266712757f, + 0.970031253f, 0.242980180f, + 0.975702130f, 0.219101240f, + 0.980785280f, 0.195090322f, + 0.985277642f, 0.170961889f, + 0.989176510f, 0.146730474f, + 0.992479535f, 0.122410675f, + 0.995184727f, 0.098017140f, + 0.997290457f, 0.073564564f, + 0.998795456f, 0.049067674f, + 0.999698819f, 0.024541229f, + 1.000000000f, 0.000000000f, + 0.999698819f, -0.024541229f, + 0.998795456f, -0.049067674f, + 0.997290457f, -0.073564564f, + 0.995184727f, -0.098017140f, + 0.992479535f, -0.122410675f, + 0.989176510f, -0.146730474f, + 0.985277642f, -0.170961889f, + 0.980785280f, -0.195090322f, + 0.975702130f, -0.219101240f, + 0.970031253f, -0.242980180f, + 0.963776066f, -0.266712757f, + 0.956940336f, -0.290284677f, + 0.949528181f, -0.313681740f, + 0.941544065f, -0.336889853f, + 0.932992799f, -0.359895037f, + 0.923879533f, -0.382683432f, + 0.914209756f, -0.405241314f, + 0.903989293f, -0.427555093f, + 0.893224301f, -0.449611330f, + 0.881921264f, -0.471396737f, + 0.870086991f, -0.492898192f, + 0.857728610f, -0.514102744f, + 0.844853565f, -0.534997620f, + 0.831469612f, -0.555570233f, + 0.817584813f, -0.575808191f, + 0.803207531f, -0.595699304f, + 0.788346428f, -0.615231591f, + 0.773010453f, -0.634393284f, + 0.757208847f, -0.653172843f, + 0.740951125f, -0.671558955f, + 0.724247083f, -0.689540545f, + 0.707106781f, -0.707106781f, + 0.689540545f, -0.724247083f, + 0.671558955f, -0.740951125f, + 0.653172843f, -0.757208847f, + 0.634393284f, -0.773010453f, + 0.615231591f, -0.788346428f, + 0.595699304f, -0.803207531f, + 0.575808191f, -0.817584813f, + 0.555570233f, -0.831469612f, + 0.534997620f, -0.844853565f, + 0.514102744f, -0.857728610f, + 0.492898192f, -0.870086991f, + 0.471396737f, -0.881921264f, + 0.449611330f, -0.893224301f, + 0.427555093f, -0.903989293f, + 0.405241314f, -0.914209756f, + 0.382683432f, -0.923879533f, + 0.359895037f, -0.932992799f, + 0.336889853f, -0.941544065f, + 0.313681740f, -0.949528181f, + 0.290284677f, -0.956940336f, + 0.266712757f, -0.963776066f, + 0.242980180f, -0.970031253f, + 0.219101240f, -0.975702130f, + 0.195090322f, -0.980785280f, + 0.170961889f, -0.985277642f, + 0.146730474f, -0.989176510f, + 0.122410675f, -0.992479535f, + 0.098017140f, -0.995184727f, + 0.073564564f, -0.997290457f, + 0.049067674f, -0.998795456f, + 0.024541229f, -0.999698819f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) +const float32_t twiddleCoef_rfft_512[512] = { + 0.000000000f, 1.000000000f, + 0.012271538f, 0.999924702f, + 0.024541229f, 0.999698819f, + 0.036807223f, 0.999322385f, + 0.049067674f, 0.998795456f, + 0.061320736f, 0.998118113f, + 0.073564564f, 0.997290457f, + 0.085797312f, 0.996312612f, + 0.098017140f, 0.995184727f, + 0.110222207f, 0.993906970f, + 0.122410675f, 0.992479535f, + 0.134580709f, 0.990902635f, + 0.146730474f, 0.989176510f, + 0.158858143f, 0.987301418f, + 0.170961889f, 0.985277642f, + 0.183039888f, 0.983105487f, + 0.195090322f, 0.980785280f, + 0.207111376f, 0.978317371f, + 0.219101240f, 0.975702130f, + 0.231058108f, 0.972939952f, + 0.242980180f, 0.970031253f, + 0.254865660f, 0.966976471f, + 0.266712757f, 0.963776066f, + 0.278519689f, 0.960430519f, + 0.290284677f, 0.956940336f, + 0.302005949f, 0.953306040f, + 0.313681740f, 0.949528181f, + 0.325310292f, 0.945607325f, + 0.336889853f, 0.941544065f, + 0.348418680f, 0.937339012f, + 0.359895037f, 0.932992799f, + 0.371317194f, 0.928506080f, + 0.382683432f, 0.923879533f, + 0.393992040f, 0.919113852f, + 0.405241314f, 0.914209756f, + 0.416429560f, 0.909167983f, + 0.427555093f, 0.903989293f, + 0.438616239f, 0.898674466f, + 0.449611330f, 0.893224301f, + 0.460538711f, 0.887639620f, + 0.471396737f, 0.881921264f, + 0.482183772f, 0.876070094f, + 0.492898192f, 0.870086991f, + 0.503538384f, 0.863972856f, + 0.514102744f, 0.857728610f, + 0.524589683f, 0.851355193f, + 0.534997620f, 0.844853565f, + 0.545324988f, 0.838224706f, + 0.555570233f, 0.831469612f, + 0.565731811f, 0.824589303f, + 0.575808191f, 0.817584813f, + 0.585797857f, 0.810457198f, + 0.595699304f, 0.803207531f, + 0.605511041f, 0.795836905f, + 0.615231591f, 0.788346428f, + 0.624859488f, 0.780737229f, + 0.634393284f, 0.773010453f, + 0.643831543f, 0.765167266f, + 0.653172843f, 0.757208847f, + 0.662415778f, 0.749136395f, + 0.671558955f, 0.740951125f, + 0.680600998f, 0.732654272f, + 0.689540545f, 0.724247083f, + 0.698376249f, 0.715730825f, + 0.707106781f, 0.707106781f, + 0.715730825f, 0.698376249f, + 0.724247083f, 0.689540545f, + 0.732654272f, 0.680600998f, + 0.740951125f, 0.671558955f, + 0.749136395f, 0.662415778f, + 0.757208847f, 0.653172843f, + 0.765167266f, 0.643831543f, + 0.773010453f, 0.634393284f, + 0.780737229f, 0.624859488f, + 0.788346428f, 0.615231591f, + 0.795836905f, 0.605511041f, + 0.803207531f, 0.595699304f, + 0.810457198f, 0.585797857f, + 0.817584813f, 0.575808191f, + 0.824589303f, 0.565731811f, + 0.831469612f, 0.555570233f, + 0.838224706f, 0.545324988f, + 0.844853565f, 0.534997620f, + 0.851355193f, 0.524589683f, + 0.857728610f, 0.514102744f, + 0.863972856f, 0.503538384f, + 0.870086991f, 0.492898192f, + 0.876070094f, 0.482183772f, + 0.881921264f, 0.471396737f, + 0.887639620f, 0.460538711f, + 0.893224301f, 0.449611330f, + 0.898674466f, 0.438616239f, + 0.903989293f, 0.427555093f, + 0.909167983f, 0.416429560f, + 0.914209756f, 0.405241314f, + 0.919113852f, 0.393992040f, + 0.923879533f, 0.382683432f, + 0.928506080f, 0.371317194f, + 0.932992799f, 0.359895037f, + 0.937339012f, 0.348418680f, + 0.941544065f, 0.336889853f, + 0.945607325f, 0.325310292f, + 0.949528181f, 0.313681740f, + 0.953306040f, 0.302005949f, + 0.956940336f, 0.290284677f, + 0.960430519f, 0.278519689f, + 0.963776066f, 0.266712757f, + 0.966976471f, 0.254865660f, + 0.970031253f, 0.242980180f, + 0.972939952f, 0.231058108f, + 0.975702130f, 0.219101240f, + 0.978317371f, 0.207111376f, + 0.980785280f, 0.195090322f, + 0.983105487f, 0.183039888f, + 0.985277642f, 0.170961889f, + 0.987301418f, 0.158858143f, + 0.989176510f, 0.146730474f, + 0.990902635f, 0.134580709f, + 0.992479535f, 0.122410675f, + 0.993906970f, 0.110222207f, + 0.995184727f, 0.098017140f, + 0.996312612f, 0.085797312f, + 0.997290457f, 0.073564564f, + 0.998118113f, 0.061320736f, + 0.998795456f, 0.049067674f, + 0.999322385f, 0.036807223f, + 0.999698819f, 0.024541229f, + 0.999924702f, 0.012271538f, + 1.000000000f, 0.000000000f, + 0.999924702f, -0.012271538f, + 0.999698819f, -0.024541229f, + 0.999322385f, -0.036807223f, + 0.998795456f, -0.049067674f, + 0.998118113f, -0.061320736f, + 0.997290457f, -0.073564564f, + 0.996312612f, -0.085797312f, + 0.995184727f, -0.098017140f, + 0.993906970f, -0.110222207f, + 0.992479535f, -0.122410675f, + 0.990902635f, -0.134580709f, + 0.989176510f, -0.146730474f, + 0.987301418f, -0.158858143f, + 0.985277642f, -0.170961889f, + 0.983105487f, -0.183039888f, + 0.980785280f, -0.195090322f, + 0.978317371f, -0.207111376f, + 0.975702130f, -0.219101240f, + 0.972939952f, -0.231058108f, + 0.970031253f, -0.242980180f, + 0.966976471f, -0.254865660f, + 0.963776066f, -0.266712757f, + 0.960430519f, -0.278519689f, + 0.956940336f, -0.290284677f, + 0.953306040f, -0.302005949f, + 0.949528181f, -0.313681740f, + 0.945607325f, -0.325310292f, + 0.941544065f, -0.336889853f, + 0.937339012f, -0.348418680f, + 0.932992799f, -0.359895037f, + 0.928506080f, -0.371317194f, + 0.923879533f, -0.382683432f, + 0.919113852f, -0.393992040f, + 0.914209756f, -0.405241314f, + 0.909167983f, -0.416429560f, + 0.903989293f, -0.427555093f, + 0.898674466f, -0.438616239f, + 0.893224301f, -0.449611330f, + 0.887639620f, -0.460538711f, + 0.881921264f, -0.471396737f, + 0.876070094f, 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-0.960430519f, + 0.266712757f, -0.963776066f, + 0.254865660f, -0.966976471f, + 0.242980180f, -0.970031253f, + 0.231058108f, -0.972939952f, + 0.219101240f, -0.975702130f, + 0.207111376f, -0.978317371f, + 0.195090322f, -0.980785280f, + 0.183039888f, -0.983105487f, + 0.170961889f, -0.985277642f, + 0.158858143f, -0.987301418f, + 0.146730474f, -0.989176510f, + 0.134580709f, -0.990902635f, + 0.122410675f, -0.992479535f, + 0.110222207f, -0.993906970f, + 0.098017140f, -0.995184727f, + 0.085797312f, -0.996312612f, + 0.073564564f, -0.997290457f, + 0.061320736f, -0.998118113f, + 0.049067674f, -0.998795456f, + 0.036807223f, -0.999322385f, + 0.024541229f, -0.999698819f, + 0.012271538f, -0.999924702f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) +const float32_t twiddleCoef_rfft_1024[1024] = { + 0.000000000f, 1.000000000f, + 0.006135885f, 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-0.999322385f, + 0.035274239f, -0.999377670f, + 0.033741172f, -0.999430605f, + 0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALL_TABLES) */ + +/** + @ingroup RealFFT + */ + +/** + @addtogroup RealFFT_Table Real FFT Tables + @{ + */ + +/** + @par + Generation of realCoefA array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32) +const float32_t realCoefA[8192] = { + 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f, + 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f, + 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f, + 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f, + 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f, + 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f, + 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f, + 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f, + 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f, + 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f, + 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0.485045909881592f, 0.499776333570480f, + 0.485429257154465f, 0.499787658452988f, 0.485812574625015f, 0.499798685312271f, + 0.486195921897888f, 0.499809414148331f, 0.486579269170761f, 0.499819844961166f, + 0.486962646245956f, 0.499830007553101f, 0.487346023321152f, 0.499839842319489f, + 0.487729400396347f, 0.499849408864975f, 0.488112777471542f, 0.499858677387238f, + 0.488496154546738f, 0.499867647886276f, 0.488879561424255f, 0.499876320362091f, + 0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f, + 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f, + 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f, + 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f, + 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f, + 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f, + 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f, + 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f, + 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f, + 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f, + 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f, + 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f, + 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f, + 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f, +}; + + +/** + @par + Generation of realCoefB array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ */ + +const float32_t realCoefB[8192] = { + 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f, + 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f, + 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f, + 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f, + 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f, + 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f, + 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f, + 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f, + 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f, + 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f, + 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f, + 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f, + 0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f, + 0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f, + 0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f, + 0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f, + 0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f, + 0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f, + 0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f, + 0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f, + 0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f, + 0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f, + 0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f, + 0.517637133598328f, 0.499688833951950f, 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for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q31 format + round(pATable[i] * pow(2, 31)) +*/ +const q31_t realCoefAQ31[8192] = { + (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c, + (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a, + (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8, + (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74, + (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee, + (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547, + (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e, + (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594, + (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489, + (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c, + (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d, + (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c, + (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a, + (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356, + (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80, + (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188, + (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e, + (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731, + (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3, + (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452, + (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae, + (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8, + (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff, + (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3, + (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4, + (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872, + (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd, + (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364, + (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8, + (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7, + (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3, + (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b, + (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e, + (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd, + (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047, + (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c, + (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac, + (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7, + (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c, + (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b, + (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5, + (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018, + (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54, + (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a, + (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859, + (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421, + (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1, + (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939, + (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289, + (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1, + (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0, + (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986, + (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33, + (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6, + (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910, + (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f, + (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44, + (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d, + (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc, + (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f, + (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6, + (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1, + (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf, + (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1, + (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145, + (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb, + (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03, + (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d, + (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07, + (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3, + (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e, + (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa, + (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4, + (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce, + (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97, + (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e, + (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92, + (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3, + (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2, + (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c, + (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223, + (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85, + (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2, + (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9, + (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a, + (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5, + (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548, + (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64, + (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48, + (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3, + (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065, + (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d, + (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b, + (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e, + (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6, + (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33, + (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42, + (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815, + (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa, + (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901, + (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019, + (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2, + (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a, + (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3, + (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa, + (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf, + (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762, + (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2, + (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be, + (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686, + (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09, + (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147, + (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e, + (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee, + (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257, + (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77, + (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f, + (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add, + (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120, + (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119, + (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6, + (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26, + (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39, + (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff, + (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276, + (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d, + (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075, + (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb, + (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530, + (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613, + (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3, + (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df, + (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6, + (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58, + (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94, + (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678, + (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05, + (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a, + (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, 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(q31_t)0x3acd6e81, (q31_t)0x3fc9e1c6, (q31_t)0x3ad9f4f8, (q31_t)0x3fcae5cd, + (q31_t)0x3ae67ba2, (q31_t)0x3fcbe75e, (q31_t)0x3af3027e, (q31_t)0x3fcce67a, + (q31_t)0x3aff898c, (q31_t)0x3fcde320, (q31_t)0x3b0c10cb, (q31_t)0x3fcedd50, + (q31_t)0x3b18983b, (q31_t)0x3fcfd50b, (q31_t)0x3b251fdc, (q31_t)0x3fd0ca4f, + (q31_t)0x3b31a7ac, (q31_t)0x3fd1bd1e, (q31_t)0x3b3e2fac, (q31_t)0x3fd2ad77, + (q31_t)0x3b4ab7db, (q31_t)0x3fd39b5a, (q31_t)0x3b574039, (q31_t)0x3fd486c7, + (q31_t)0x3b63c8c4, (q31_t)0x3fd56fbe, (q31_t)0x3b70517d, (q31_t)0x3fd6563f, + (q31_t)0x3b7cda63, (q31_t)0x3fd73a4a, (q31_t)0x3b896375, (q31_t)0x3fd81bdf, + (q31_t)0x3b95ecb4, (q31_t)0x3fd8fafe, (q31_t)0x3ba2761e, (q31_t)0x3fd9d7a7, + (q31_t)0x3baeffb3, (q31_t)0x3fdab1d9, (q31_t)0x3bbb8973, (q31_t)0x3fdb8996, + (q31_t)0x3bc8135c, (q31_t)0x3fdc5edc, (q31_t)0x3bd49d70, (q31_t)0x3fdd31ac, + (q31_t)0x3be127ac, (q31_t)0x3fde0205, (q31_t)0x3bedb212, (q31_t)0x3fdecfe8, + (q31_t)0x3bfa3c9f, (q31_t)0x3fdf9b55, (q31_t)0x3c06c754, (q31_t)0x3fe0644b, + (q31_t)0x3c135231, (q31_t)0x3fe12acb, (q31_t)0x3c1fdd34, (q31_t)0x3fe1eed5, + (q31_t)0x3c2c685d, (q31_t)0x3fe2b067, (q31_t)0x3c38f3ac, (q31_t)0x3fe36f84, + (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659, + (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354, + (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674, + (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9, + (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23, + (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2, + (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065, + (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d, + (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39, + (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858, + (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c, + (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703, + (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e, + (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c, + (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d, + (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01, + (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718, + (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652, + (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae, + (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d, + (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf, + (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092, + (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78, + (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280, + (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa, + (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6, + (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364, + (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3, + (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4, + (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77, + (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c, + (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82, + (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9, + (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12, + (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c, + (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128, + (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6, + (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4, +}; + + +/** + @par + Generation of realCoefBQ31 array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q31 format + round(pBTable[i] * pow(2, 31)) + */ + +const q31_t realCoefBQ31[8192] = { + (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4, + (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6, + (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128, + (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c, + (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12, + (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9, + (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82, + (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c, + (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77, + (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4, + (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3, + (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364, + (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6, + (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa, + (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280, + (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78, + (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092, + (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf, + (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d, + (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae, + (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652, + (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718, + (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01, + (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d, + (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c, + (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e, + (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703, + (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c, + (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858, + (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39, + (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d, + (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065, + (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2, + (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23, + (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9, + (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674, + (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354, + (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659, + (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84, + (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5, + (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b, + (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8, + (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac, + (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996, + (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7, + (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf, + (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f, + (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7, + (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77, + (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f, + (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50, + (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a, + (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd, + (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a, + (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0, + (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1, + (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc, + (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3, + (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334, + (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1, + (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a, + (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f, + (q31_t)0x4613e1c5, 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(q31_t)0x4596bdd7, (q31_t)0xc03e96f6, (q31_t)0x458a3908, (q31_t)0xc03d7f44, + (q31_t)0x457db403, (q31_t)0xc03c6a07, (q31_t)0x45712ec7, (q31_t)0xc03b573f, + (q31_t)0x4564a955, (q31_t)0xc03a46ed, (q31_t)0x455823ae, (q31_t)0xc0393910, + (q31_t)0x454b9dd3, (q31_t)0xc0382da8, (q31_t)0x453f17c3, (q31_t)0xc03724b6, + (q31_t)0x4532917f, (q31_t)0xc0361e3a, (q31_t)0x45260b08, (q31_t)0xc0351a33, + (q31_t)0x4519845e, (q31_t)0xc03418a2, (q31_t)0x450cfd82, (q31_t)0xc0331986, + (q31_t)0x45007674, (q31_t)0xc0321ce0, (q31_t)0x44f3ef35, (q31_t)0xc03122b0, + (q31_t)0x44e767c5, (q31_t)0xc0302af5, (q31_t)0x44dae024, (q31_t)0xc02f35b1, + (q31_t)0x44ce5854, (q31_t)0xc02e42e2, (q31_t)0x44c1d054, (q31_t)0xc02d5289, + (q31_t)0x44b54825, (q31_t)0xc02c64a6, (q31_t)0x44a8bfc7, (q31_t)0xc02b7939, + (q31_t)0x449c373c, (q31_t)0xc02a9042, (q31_t)0x448fae83, (q31_t)0xc029a9c1, + (q31_t)0x4483259d, (q31_t)0xc028c5b6, (q31_t)0x44769c8b, (q31_t)0xc027e421, + (q31_t)0x446a134c, (q31_t)0xc0270502, (q31_t)0x445d89e2, (q31_t)0xc0262859, + (q31_t)0x4451004d, (q31_t)0xc0254e27, (q31_t)0x4444768d, (q31_t)0xc024766a, + (q31_t)0x4437eca4, (q31_t)0xc023a124, (q31_t)0x442b6290, (q31_t)0xc022ce54, + (q31_t)0x441ed854, (q31_t)0xc021fdfb, (q31_t)0x44124dee, (q31_t)0xc0213018, + (q31_t)0x4405c361, (q31_t)0xc02064ab, (q31_t)0x43f938ac, (q31_t)0xc01f9bb5, + (q31_t)0x43ecadcf, (q31_t)0xc01ed535, (q31_t)0x43e022cc, (q31_t)0xc01e112b, + (q31_t)0x43d397a3, (q31_t)0xc01d4f99, (q31_t)0x43c70c54, (q31_t)0xc01c907c, + (q31_t)0x43ba80df, (q31_t)0xc01bd3d6, (q31_t)0x43adf546, (q31_t)0xc01b19a7, + (q31_t)0x43a16988, (q31_t)0xc01a61ee, (q31_t)0x4394dda7, (q31_t)0xc019acac, + (q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c, + (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047, + (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd, + (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e, + (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b, + (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3, + (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7, + (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8, + (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364, + (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd, + (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872, + (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4, + (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3, + (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff, + (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8, + (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae, + (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452, + (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3, + (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731, + (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e, + (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188, + (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80, + (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356, + (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a, + (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c, + (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d, + (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c, + (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489, + (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594, + (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e, + (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547, + (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee, + (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74, + (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8, + (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a, + (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c, +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15) +/** + @par + Generation fixed-point realCoefAQ15 array in Q15 format: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q15 format + round(pATable[i] * pow(2, 15)) + */ +const q15_t __ALIGNED(4) realCoefAQ15[8192] = { + (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000, + (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000, + (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001, + (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001, + (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002, + (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003, + (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004, + (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005, + (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006, + (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007, + (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009, + (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b, + (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d, + (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f, + (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011, + (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013, + (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016, + (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018, + (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b, + (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e, + (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021, + (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024, + (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028, + (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b, + (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f, + (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033, + (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037, + (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b, + (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040, + (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044, + (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049, + (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e, + (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053, + (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058, + (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d, + (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062, + (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068, + (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e, + (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074, + (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a, + (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080, + (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086, + (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d, + (q15_t)0x3795, (q15_t)0xc08e, (q15_t)0x3788, (q15_t)0xc090, (q15_t)0x377c, (q15_t)0xc092, (q15_t)0x376f, (q15_t)0xc093, + (q15_t)0x3763, (q15_t)0xc095, (q15_t)0x3757, (q15_t)0xc097, (q15_t)0x374a, (q15_t)0xc098, (q15_t)0x373e, (q15_t)0xc09a, + (q15_t)0x3731, (q15_t)0xc09c, (q15_t)0x3725, (q15_t)0xc09e, (q15_t)0x3718, (q15_t)0xc09f, (q15_t)0x370c, (q15_t)0xc0a1, + (q15_t)0x36ff, (q15_t)0xc0a3, (q15_t)0x36f3, (q15_t)0xc0a5, (q15_t)0x36e7, (q15_t)0xc0a6, (q15_t)0x36da, (q15_t)0xc0a8, + (q15_t)0x36ce, (q15_t)0xc0aa, (q15_t)0x36c1, (q15_t)0xc0ac, (q15_t)0x36b5, (q15_t)0xc0ae, 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(q15_t)0x3fc6, (q15_t)0x3aa8, (q15_t)0x3fc7, + (q15_t)0x3ab4, (q15_t)0x3fc8, (q15_t)0x3ac1, (q15_t)0x3fc9, (q15_t)0x3acd, (q15_t)0x3fca, (q15_t)0x3ada, (q15_t)0x3fcb, + (q15_t)0x3ae6, (q15_t)0x3fcc, (q15_t)0x3af3, (q15_t)0x3fcd, (q15_t)0x3b00, (q15_t)0x3fce, (q15_t)0x3b0c, (q15_t)0x3fcf, + (q15_t)0x3b19, (q15_t)0x3fd0, (q15_t)0x3b25, (q15_t)0x3fd1, (q15_t)0x3b32, (q15_t)0x3fd2, (q15_t)0x3b3e, (q15_t)0x3fd3, + (q15_t)0x3b4b, (q15_t)0x3fd4, (q15_t)0x3b57, (q15_t)0x3fd5, (q15_t)0x3b64, (q15_t)0x3fd5, (q15_t)0x3b70, (q15_t)0x3fd6, + (q15_t)0x3b7d, (q15_t)0x3fd7, (q15_t)0x3b89, (q15_t)0x3fd8, (q15_t)0x3b96, (q15_t)0x3fd9, (q15_t)0x3ba2, (q15_t)0x3fda, + (q15_t)0x3baf, (q15_t)0x3fdb, (q15_t)0x3bbc, (q15_t)0x3fdc, (q15_t)0x3bc8, (q15_t)0x3fdc, (q15_t)0x3bd5, (q15_t)0x3fdd, + (q15_t)0x3be1, (q15_t)0x3fde, (q15_t)0x3bee, (q15_t)0x3fdf, (q15_t)0x3bfa, (q15_t)0x3fe0, (q15_t)0x3c07, (q15_t)0x3fe0, + (q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3, + (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6, + (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9, + (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec, + (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee, + (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0, + (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2, + (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4, + (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6, + (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8, + (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9, + (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb, + (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc, + (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd, + (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe, + (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff, + (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff, + (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000, + (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000, + (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000, +}; + +/** + @par + Generation of real_CoefB array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q15 format + round(pBTable[i] * pow(2, 15)) +*/ +const q15_t __ALIGNED(4) realCoefBQ15[8192] = { + (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000, + (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000, + (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff, + (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff, + (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe, + (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd, + (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc, + (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb, + (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa, + (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9, + (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7, + (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5, + (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3, + (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1, + (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef, + (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed, + (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea, + (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8, + (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5, + (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2, + (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf, + (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc, + (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8, + (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5, + (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1, + (q15_t)0x44e7, (q15_t)0x3fd0, (q15_t)0x44f4, (q15_t)0x3fcf, (q15_t)0x4500, (q15_t)0x3fce, (q15_t)0x450d, (q15_t)0x3fcd, + (q15_t)0x451a, (q15_t)0x3fcc, (q15_t)0x4526, (q15_t)0x3fcb, (q15_t)0x4533, (q15_t)0x3fca, (q15_t)0x453f, (q15_t)0x3fc9, + (q15_t)0x454c, (q15_t)0x3fc8, (q15_t)0x4558, (q15_t)0x3fc7, (q15_t)0x4565, (q15_t)0x3fc6, (q15_t)0x4571, (q15_t)0x3fc5, + (q15_t)0x457e, (q15_t)0x3fc4, (q15_t)0x458a, (q15_t)0x3fc3, (q15_t)0x4597, (q15_t)0x3fc1, (q15_t)0x45a3, (q15_t)0x3fc0, + (q15_t)0x45b0, (q15_t)0x3fbf, (q15_t)0x45bc, (q15_t)0x3fbe, (q15_t)0x45c9, (q15_t)0x3fbd, (q15_t)0x45d5, (q15_t)0x3fbc, + (q15_t)0x45e2, (q15_t)0x3fbb, (q15_t)0x45ee, (q15_t)0x3fb9, (q15_t)0x45fb, (q15_t)0x3fb8, (q15_t)0x4607, (q15_t)0x3fb7, + (q15_t)0x4614, (q15_t)0x3fb6, (q15_t)0x4620, (q15_t)0x3fb5, (q15_t)0x462d, (q15_t)0x3fb4, (q15_t)0x4639, (q15_t)0x3fb2, + (q15_t)0x4646, (q15_t)0x3fb1, (q15_t)0x4652, (q15_t)0x3fb0, (q15_t)0x465f, (q15_t)0x3faf, (q15_t)0x466b, (q15_t)0x3fad, + (q15_t)0x4678, (q15_t)0x3fac, (q15_t)0x4684, (q15_t)0x3fab, (q15_t)0x4691, (q15_t)0x3faa, (q15_t)0x469d, (q15_t)0x3fa8, + (q15_t)0x46aa, (q15_t)0x3fa7, (q15_t)0x46b6, (q15_t)0x3fa6, (q15_t)0x46c3, (q15_t)0x3fa4, (q15_t)0x46cf, (q15_t)0x3fa3, + (q15_t)0x46dc, (q15_t)0x3fa2, (q15_t)0x46e8, (q15_t)0x3fa0, (q15_t)0x46f5, (q15_t)0x3f9f, (q15_t)0x4701, (q15_t)0x3f9e, + (q15_t)0x470e, (q15_t)0x3f9c, (q15_t)0x471a, (q15_t)0x3f9b, (q15_t)0x4727, (q15_t)0x3f99, (q15_t)0x4733, (q15_t)0x3f98, + (q15_t)0x4740, (q15_t)0x3f97, (q15_t)0x474c, (q15_t)0x3f95, (q15_t)0x4759, (q15_t)0x3f94, (q15_t)0x4765, (q15_t)0x3f92, + (q15_t)0x4772, (q15_t)0x3f91, (q15_t)0x477e, (q15_t)0x3f8f, (q15_t)0x478b, (q15_t)0x3f8e, (q15_t)0x4797, (q15_t)0x3f8c, + (q15_t)0x47a4, (q15_t)0x3f8b, (q15_t)0x47b0, (q15_t)0x3f89, (q15_t)0x47bd, (q15_t)0x3f88, (q15_t)0x47c9, (q15_t)0x3f86, + (q15_t)0x47d6, (q15_t)0x3f85, (q15_t)0x47e2, (q15_t)0x3f83, (q15_t)0x47ef, (q15_t)0x3f82, (q15_t)0x47fb, (q15_t)0x3f80, + (q15_t)0x4807, (q15_t)0x3f7f, (q15_t)0x4814, (q15_t)0x3f7d, (q15_t)0x4820, (q15_t)0x3f7b, (q15_t)0x482d, (q15_t)0x3f7a, + (q15_t)0x4839, (q15_t)0x3f78, (q15_t)0x4846, (q15_t)0x3f77, (q15_t)0x4852, (q15_t)0x3f75, (q15_t)0x485f, (q15_t)0x3f73, + (q15_t)0x486b, (q15_t)0x3f72, (q15_t)0x4878, (q15_t)0x3f70, (q15_t)0x4884, (q15_t)0x3f6e, (q15_t)0x4891, (q15_t)0x3f6d, + (q15_t)0x489d, (q15_t)0x3f6b, (q15_t)0x48a9, (q15_t)0x3f69, (q15_t)0x48b6, (q15_t)0x3f68, (q15_t)0x48c2, (q15_t)0x3f66, + (q15_t)0x48cf, (q15_t)0x3f64, (q15_t)0x48db, (q15_t)0x3f62, (q15_t)0x48e8, (q15_t)0x3f61, (q15_t)0x48f4, (q15_t)0x3f5f, + (q15_t)0x4901, (q15_t)0x3f5d, (q15_t)0x490d, (q15_t)0x3f5b, (q15_t)0x4919, (q15_t)0x3f5a, (q15_t)0x4926, (q15_t)0x3f58, + (q15_t)0x4932, (q15_t)0x3f56, (q15_t)0x493f, (q15_t)0x3f54, (q15_t)0x494b, (q15_t)0x3f52, (q15_t)0x4958, (q15_t)0x3f51, + (q15_t)0x4964, (q15_t)0x3f4f, (q15_t)0x4970, (q15_t)0x3f4d, (q15_t)0x497d, (q15_t)0x3f4b, (q15_t)0x4989, (q15_t)0x3f49, + (q15_t)0x4996, (q15_t)0x3f47, (q15_t)0x49a2, (q15_t)0x3f45, (q15_t)0x49af, (q15_t)0x3f43, (q15_t)0x49bb, (q15_t)0x3f42, + (q15_t)0x49c7, (q15_t)0x3f40, (q15_t)0x49d4, (q15_t)0x3f3e, (q15_t)0x49e0, (q15_t)0x3f3c, (q15_t)0x49ed, (q15_t)0x3f3a, + (q15_t)0x49f9, (q15_t)0x3f38, (q15_t)0x4a06, (q15_t)0x3f36, (q15_t)0x4a12, (q15_t)0x3f34, (q15_t)0x4a1e, (q15_t)0x3f32, + (q15_t)0x4a2b, (q15_t)0x3f30, (q15_t)0x4a37, (q15_t)0x3f2e, (q15_t)0x4a44, (q15_t)0x3f2c, (q15_t)0x4a50, (q15_t)0x3f2a, + (q15_t)0x4a5c, (q15_t)0x3f28, (q15_t)0x4a69, (q15_t)0x3f26, (q15_t)0x4a75, (q15_t)0x3f24, (q15_t)0x4a82, (q15_t)0x3f22, + (q15_t)0x4a8e, (q15_t)0x3f20, (q15_t)0x4a9a, (q15_t)0x3f1e, (q15_t)0x4aa7, (q15_t)0x3f1c, (q15_t)0x4ab3, (q15_t)0x3f19, + (q15_t)0x4ac0, (q15_t)0x3f17, (q15_t)0x4acc, (q15_t)0x3f15, (q15_t)0x4ad8, (q15_t)0x3f13, (q15_t)0x4ae5, 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(q15_t)0x493f, (q15_t)0xc0ac, + (q15_t)0x4932, (q15_t)0xc0aa, (q15_t)0x4926, (q15_t)0xc0a8, (q15_t)0x4919, (q15_t)0xc0a6, (q15_t)0x490d, (q15_t)0xc0a5, + (q15_t)0x4901, (q15_t)0xc0a3, (q15_t)0x48f4, (q15_t)0xc0a1, (q15_t)0x48e8, (q15_t)0xc09f, (q15_t)0x48db, (q15_t)0xc09e, + (q15_t)0x48cf, (q15_t)0xc09c, (q15_t)0x48c2, (q15_t)0xc09a, (q15_t)0x48b6, (q15_t)0xc098, (q15_t)0x48a9, (q15_t)0xc097, + (q15_t)0x489d, (q15_t)0xc095, (q15_t)0x4891, (q15_t)0xc093, (q15_t)0x4884, (q15_t)0xc092, (q15_t)0x4878, (q15_t)0xc090, + (q15_t)0x486b, (q15_t)0xc08e, (q15_t)0x485f, (q15_t)0xc08d, (q15_t)0x4852, (q15_t)0xc08b, (q15_t)0x4846, (q15_t)0xc089, + (q15_t)0x4839, (q15_t)0xc088, (q15_t)0x482d, (q15_t)0xc086, (q15_t)0x4820, (q15_t)0xc085, (q15_t)0x4814, (q15_t)0xc083, + (q15_t)0x4807, (q15_t)0xc081, (q15_t)0x47fb, (q15_t)0xc080, (q15_t)0x47ef, (q15_t)0xc07e, (q15_t)0x47e2, (q15_t)0xc07d, + (q15_t)0x47d6, (q15_t)0xc07b, (q15_t)0x47c9, (q15_t)0xc07a, (q15_t)0x47bd, (q15_t)0xc078, (q15_t)0x47b0, (q15_t)0xc077, + (q15_t)0x47a4, (q15_t)0xc075, (q15_t)0x4797, (q15_t)0xc074, (q15_t)0x478b, (q15_t)0xc072, (q15_t)0x477e, (q15_t)0xc071, + (q15_t)0x4772, (q15_t)0xc06f, (q15_t)0x4765, (q15_t)0xc06e, (q15_t)0x4759, (q15_t)0xc06c, (q15_t)0x474c, (q15_t)0xc06b, + (q15_t)0x4740, (q15_t)0xc069, (q15_t)0x4733, (q15_t)0xc068, (q15_t)0x4727, (q15_t)0xc067, (q15_t)0x471a, (q15_t)0xc065, + (q15_t)0x470e, (q15_t)0xc064, (q15_t)0x4701, (q15_t)0xc062, (q15_t)0x46f5, (q15_t)0xc061, (q15_t)0x46e8, (q15_t)0xc060, + (q15_t)0x46dc, (q15_t)0xc05e, (q15_t)0x46cf, (q15_t)0xc05d, (q15_t)0x46c3, (q15_t)0xc05c, (q15_t)0x46b6, (q15_t)0xc05a, + (q15_t)0x46aa, (q15_t)0xc059, (q15_t)0x469d, (q15_t)0xc058, (q15_t)0x4691, (q15_t)0xc056, (q15_t)0x4684, (q15_t)0xc055, + (q15_t)0x4678, (q15_t)0xc054, (q15_t)0x466b, (q15_t)0xc053, (q15_t)0x465f, (q15_t)0xc051, (q15_t)0x4652, (q15_t)0xc050, + (q15_t)0x4646, (q15_t)0xc04f, (q15_t)0x4639, (q15_t)0xc04e, (q15_t)0x462d, (q15_t)0xc04c, (q15_t)0x4620, (q15_t)0xc04b, + (q15_t)0x4614, (q15_t)0xc04a, (q15_t)0x4607, (q15_t)0xc049, (q15_t)0x45fb, (q15_t)0xc048, (q15_t)0x45ee, (q15_t)0xc047, + (q15_t)0x45e2, (q15_t)0xc045, (q15_t)0x45d5, (q15_t)0xc044, (q15_t)0x45c9, (q15_t)0xc043, (q15_t)0x45bc, (q15_t)0xc042, + (q15_t)0x45b0, (q15_t)0xc041, (q15_t)0x45a3, (q15_t)0xc040, (q15_t)0x4597, (q15_t)0xc03f, (q15_t)0x458a, (q15_t)0xc03d, + (q15_t)0x457e, (q15_t)0xc03c, (q15_t)0x4571, (q15_t)0xc03b, (q15_t)0x4565, (q15_t)0xc03a, (q15_t)0x4558, (q15_t)0xc039, + (q15_t)0x454c, (q15_t)0xc038, (q15_t)0x453f, (q15_t)0xc037, (q15_t)0x4533, (q15_t)0xc036, (q15_t)0x4526, (q15_t)0xc035, + (q15_t)0x451a, (q15_t)0xc034, (q15_t)0x450d, (q15_t)0xc033, (q15_t)0x4500, (q15_t)0xc032, (q15_t)0x44f4, (q15_t)0xc031, + (q15_t)0x44e7, (q15_t)0xc030, (q15_t)0x44db, (q15_t)0xc02f, (q15_t)0x44ce, (q15_t)0xc02e, (q15_t)0x44c2, (q15_t)0xc02d, + (q15_t)0x44b5, (q15_t)0xc02c, (q15_t)0x44a9, (q15_t)0xc02b, (q15_t)0x449c, (q15_t)0xc02b, (q15_t)0x4490, (q15_t)0xc02a, + (q15_t)0x4483, (q15_t)0xc029, (q15_t)0x4477, (q15_t)0xc028, (q15_t)0x446a, (q15_t)0xc027, (q15_t)0x445e, (q15_t)0xc026, + (q15_t)0x4451, (q15_t)0xc025, (q15_t)0x4444, (q15_t)0xc024, (q15_t)0x4438, (q15_t)0xc024, (q15_t)0x442b, (q15_t)0xc023, + (q15_t)0x441f, (q15_t)0xc022, (q15_t)0x4412, (q15_t)0xc021, (q15_t)0x4406, (q15_t)0xc020, (q15_t)0x43f9, (q15_t)0xc020, + (q15_t)0x43ed, (q15_t)0xc01f, (q15_t)0x43e0, (q15_t)0xc01e, (q15_t)0x43d4, (q15_t)0xc01d, (q15_t)0x43c7, (q15_t)0xc01d, + (q15_t)0x43bb, (q15_t)0xc01c, (q15_t)0x43ae, (q15_t)0xc01b, (q15_t)0x43a1, (q15_t)0xc01a, (q15_t)0x4395, (q15_t)0xc01a, + (q15_t)0x4388, (q15_t)0xc019, (q15_t)0x437c, (q15_t)0xc018, (q15_t)0x436f, (q15_t)0xc018, (q15_t)0x4363, (q15_t)0xc017, + (q15_t)0x4356, (q15_t)0xc016, (q15_t)0x434a, (q15_t)0xc016, (q15_t)0x433d, (q15_t)0xc015, (q15_t)0x4330, (q15_t)0xc014, + (q15_t)0x4324, (q15_t)0xc014, (q15_t)0x4317, (q15_t)0xc013, (q15_t)0x430b, (q15_t)0xc013, (q15_t)0x42fe, (q15_t)0xc012, + (q15_t)0x42f2, (q15_t)0xc011, (q15_t)0x42e5, (q15_t)0xc011, (q15_t)0x42d9, (q15_t)0xc010, (q15_t)0x42cc, (q15_t)0xc010, + (q15_t)0x42c0, (q15_t)0xc00f, (q15_t)0x42b3, (q15_t)0xc00f, (q15_t)0x42a6, (q15_t)0xc00e, (q15_t)0x429a, (q15_t)0xc00e, + (q15_t)0x428d, (q15_t)0xc00d, (q15_t)0x4281, (q15_t)0xc00d, (q15_t)0x4274, (q15_t)0xc00c, (q15_t)0x4268, (q15_t)0xc00c, + (q15_t)0x425b, (q15_t)0xc00b, (q15_t)0x424e, (q15_t)0xc00b, (q15_t)0x4242, (q15_t)0xc00a, (q15_t)0x4235, (q15_t)0xc00a, + (q15_t)0x4229, (q15_t)0xc009, (q15_t)0x421c, (q15_t)0xc009, (q15_t)0x4210, (q15_t)0xc009, (q15_t)0x4203, (q15_t)0xc008, + (q15_t)0x41f7, (q15_t)0xc008, (q15_t)0x41ea, (q15_t)0xc007, (q15_t)0x41dd, (q15_t)0xc007, (q15_t)0x41d1, (q15_t)0xc007, + (q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005, + (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004, + (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003, + (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002, + (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001, + (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001, + (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000, + (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000, + (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000, +}; + +#endif +/** + @} end of RealFFT_Table group + */ + +/** + @ingroup DCT4_IDCT4 + */ + +/** + @addtogroup DCT4_IDCT4_Table DCT Type IV Tables + @{ + */ + +/** + @brief Weights Table + */ + +/** + @par + Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
+ @par + C command to generate the table + 
+  for(i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos (i*c);
+    weights[(2*i)+1] = -sin (i*c);
+  }
+ @par + where N is the Number of weights to be calculated and c is pi/(2*N) + @par + In the tables below the real and imaginary values are placed alternatively, hence the + array length is 2*N. + */ + + +/** + @par + cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+ @par + C command to generate the table + @par + 
 for(i = 0; i< N; i++)
+  {
+     cos_factors[i]= 2 * cos((2*i+1)*c/2);
+  }
+ @par + where N is the number of factors to generate and c is pi/(2*N) +*/ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128) + const float32_t Weights_128[256] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, -0.012271538285719925f, + 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, -0.036807222941358832f, + 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, -0.061320736302208578f, + 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, -0.085797312344439894f, + 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, -0.110222207293883060f, + 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, -0.134580708507126170f, + 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, -0.158858143333861450f, + 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, -0.183039887955140950f, + 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, -0.207111376192218560f, + 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, -0.231058108280671110f, + 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, -0.254865659604514570f, + 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, -0.278519689385053060f, + 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, -0.302005949319228080f, + 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, -0.325310292162262930f, + 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, -0.348418680249434560f, + 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, -0.371317193951837540f, + 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, -0.393992040061048100f, + 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, -0.416429560097637150f, + 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, -0.438616238538527660f, + 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, -0.460538710958240010f, + 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, -0.482183772079122720f, + 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, -0.503538383725717580f, + 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, -0.524589682678468950f, + 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, -0.545324988422046460f, + 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, -0.565731810783613120f, + 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, -0.585797857456438860f, + 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, -0.605511041404325550f, + 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, -0.624859488142386340f, + 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, -0.643831542889791390f, + 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, -0.662415777590171780f, + 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, -0.680600997795453020f, + 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, -0.698376249408972920f, + 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, -0.715730825283818590f, + 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, -0.732654271672412820f, + 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, -0.749136394523459260f, + 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, -0.765167265622458960f, + 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, -0.780737228572094380f, + 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, -0.795836904608883460f, + 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, 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0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, -0.937339011912574960f, + 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, -0.945607325380521280f, + 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, -0.953306040354193750f, + 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, -0.960430519415565790f, + 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, -0.966976471044852070f, + 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, -0.972939952205560070f, + 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, -0.978317370719627650f, + 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, -0.983105487431216290f, + 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, -0.987301418157858430f, + 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, -0.990902635427780010f, + 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, -0.993906970002356060f, + 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, -0.996312612182778000f, + 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, -0.998118112900149180f, + 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, -0.999322384588349540f, + 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, -0.999924701839144500f +}; + + const float32_t cos_factors_128[128] = { + 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, + 0.999077727752645360f, + 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, + 0.995767414467659820f, + 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, + 0.990058210262297120f, + 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, + 0.981963869109555240f, + 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, + 0.971503890986251780f, + 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0.000191747598192208f +}; + #endif + +/** + @brief Weights Table + */ + +/** + @par + Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
+ @par + C command to generate the table + 
+  for(i = 0; i< N; i++)
+  { 
+    weights[(2*i)]   =  cos(i*c);
+    weights[(2*i)+1] = -sin(i*c);
+  }
+ @par + where N is the Number of weights to be calculated and c is pi/(2*N) + @par + Converted the output to q15 format by multiplying with 2^31 and saturated if required. + @par + In the tables below the real and imaginary values are placed alternatively, hence the + array length is 2*N. + */ + +/** + @par + cosFactor tables are generated using the formula : 
 cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+ @par + C command to generate the table + 
+  for (i = 0; i< N; i++)
+  {
+    cos_factors[i] = 2 * cos((2*i+1)*c/2);
+  }
+ @par + where N is the number of factors to generate and c is pi/(2*N) + @par + Then converted to q15 format by multiplying with 2^31 and saturated if required. +*/ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128) + + const q15_t __ALIGNED(4) WeightsQ15_128[256] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7fe9, (q15_t)0xfb4a, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f87, (q15_t)0xf505, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7ed5, (q15_t)0xeec7, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7dd6, (q15_t)0xe893, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7c89, (q15_t)0xe26d, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7aef, (q15_t)0xdc5a, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7909, (q15_t)0xd65d, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x76d9, (q15_t)0xd079, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x745f, (q15_t)0xcab3, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x719e, (q15_t)0xc50e, + (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6e96, (q15_t)0xbf8d, + (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6b4a, (q15_t)0xba33, + (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x67bd, (q15_t)0xb505, + (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x63ef, (q15_t)0xb005, + (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x5fe3, (q15_t)0xab36, + (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5b9d, (q15_t)0xa69c, + (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x571d, (q15_t)0xa239, + (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5269, (q15_t)0x9e0f, + (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4d81, (q15_t)0x9a23, + (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4869, (q15_t)0x9674, + (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4325, (q15_t)0x9307, + (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3db8, (q15_t)0x8fdd, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3824, (q15_t)0x8cf9, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x326e, (q15_t)0x8a5b, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2c98, (q15_t)0x8806, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x26a8, (q15_t)0x85fb, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x209f, (q15_t)0x843b, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1a82, (q15_t)0x82c7, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x1455, (q15_t)0x81a1, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1139, (q15_t)0x812b, (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xe1b, (q15_t)0x80c8, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xafb, (q15_t)0x8079, (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x7d9, (q15_t)0x803e, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x324, (q15_t)0x800a, (q15_t)0x192, (q15_t)0x8003 +}; + const q15_t __ALIGNED(4) cos_factorsQ15_128[128] = { + (q15_t)0x7fff, (q15_t)0x7ffa, (q15_t)0x7ff0, (q15_t)0x7fe1, (q15_t)0x7fce, (q15_t)0x7fb5, (q15_t)0x7f97, (q15_t)0x7f75, + (q15_t)0x7f4d, (q15_t)0x7f21, (q15_t)0x7ef0, (q15_t)0x7eba, (q15_t)0x7e7f, (q15_t)0x7e3f, (q15_t)0x7dfa, (q15_t)0x7db0, + (q15_t)0x7d62, (q15_t)0x7d0f, (q15_t)0x7cb7, (q15_t)0x7c5a, (q15_t)0x7bf8, (q15_t)0x7b92, (q15_t)0x7b26, (q15_t)0x7ab6, + (q15_t)0x7a42, (q15_t)0x79c8, (q15_t)0x794a, (q15_t)0x78c7, (q15_t)0x7840, (q15_t)0x77b4, (q15_t)0x7723, (q15_t)0x768e, + (q15_t)0x75f4, (q15_t)0x7555, (q15_t)0x74b2, (q15_t)0x740b, (q15_t)0x735f, (q15_t)0x72af, (q15_t)0x71fa, (q15_t)0x7141, + (q15_t)0x7083, (q15_t)0x6fc1, (q15_t)0x6efb, (q15_t)0x6e30, (q15_t)0x6d62, (q15_t)0x6c8f, (q15_t)0x6bb8, (q15_t)0x6adc, + (q15_t)0x69fd, (q15_t)0x6919, (q15_t)0x6832, (q15_t)0x6746, (q15_t)0x6657, (q15_t)0x6563, (q15_t)0x646c, (q15_t)0x6371, + (q15_t)0x6271, (q15_t)0x616f, (q15_t)0x6068, (q15_t)0x5f5e, (q15_t)0x5e50, (q15_t)0x5d3e, (q15_t)0x5c29, (q15_t)0x5b10, + (q15_t)0x59f3, (q15_t)0x58d4, (q15_t)0x57b0, (q15_t)0x568a, (q15_t)0x5560, (q15_t)0x5433, (q15_t)0x5302, (q15_t)0x51ce, + (q15_t)0x5097, (q15_t)0x4f5e, (q15_t)0x4e21, (q15_t)0x4ce1, (q15_t)0x4b9e, (q15_t)0x4a58, (q15_t)0x490f, (q15_t)0x47c3, + (q15_t)0x4675, (q15_t)0x4524, (q15_t)0x43d0, (q15_t)0x427a, (q15_t)0x4121, (q15_t)0x3fc5, (q15_t)0x3e68, (q15_t)0x3d07, + (q15_t)0x3ba5, (q15_t)0x3a40, (q15_t)0x38d8, (q15_t)0x376f, (q15_t)0x3604, (q15_t)0x3496, (q15_t)0x3326, (q15_t)0x31b5, + (q15_t)0x3041, (q15_t)0x2ecc, (q15_t)0x2d55, (q15_t)0x2bdc, (q15_t)0x2a61, (q15_t)0x28e5, (q15_t)0x2767, (q15_t)0x25e8, + (q15_t)0x2467, (q15_t)0x22e5, (q15_t)0x2161, (q15_t)0x1fdc, (q15_t)0x1e56, (q15_t)0x1ccf, (q15_t)0x1b47, (q15_t)0x19bd, + (q15_t)0x1833, (q15_t)0x16a8, (q15_t)0x151b, (q15_t)0x138e, (q15_t)0x1201, (q15_t)0x1072, (q15_t)0xee3, (q15_t)0xd53, + (q15_t)0xbc3, (q15_t)0xa33, (q15_t)0x8a2, (q15_t)0x710, (q15_t)0x57f, (q15_t)0x3ed, (q15_t)0x25b, (q15_t)0xc9 +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512) + const q15_t __ALIGNED(4) WeightsQ15_512[1024] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7ffe, (q15_t)0xfed3, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff8, (q15_t)0xfd41, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fed, (q15_t)0xfbaf, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fdd, (q15_t)0xfa1d, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fc8, (q15_t)0xf88b, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fae, (q15_t)0xf6fa, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f8f, (q15_t)0xf569, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f6b, (q15_t)0xf3d9, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f43, (q15_t)0xf249, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f15, (q15_t)0xf0b9, + (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7ee3, (q15_t)0xef2a, + (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eab, (q15_t)0xed9c, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e6f, (q15_t)0xec0e, + (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e2e, (q15_t)0xea81, + (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7de8, (q15_t)0xe8f6, + (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7d9d, (q15_t)0xe76a, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d4e, (q15_t)0xe5e0, + (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7cf9, (q15_t)0xe457, + (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7ca0, (q15_t)0xe2cf, + (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c42, (q15_t)0xe148, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bdf, (q15_t)0xdfc2, + (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b77, (q15_t)0xde3e, + (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b0b, (q15_t)0xdcbb, + (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7a9a, (q15_t)0xdb39, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a24, (q15_t)0xd9b8, + (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79a9, (q15_t)0xd839, + (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x792a, (q15_t)0xd6bc, + (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78a6, (q15_t)0xd540, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x781d, (q15_t)0xd3c6, + (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x7790, (q15_t)0xd24d, + (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x76fe, (q15_t)0xd0d7, + (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7668, (q15_t)0xcf62, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75cc, (q15_t)0xcdef, + (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x752d, (q15_t)0xcc7e, + (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x7489, (q15_t)0xcb0e, + (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x73e0, (q15_t)0xc9a1, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7333, (q15_t)0xc836, + (q15_t)0x7307, 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(q15_t)0x90d3, + (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e10, (q15_t)0x900e, + (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3caf, (q15_t)0x8f4d, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b4c, (q15_t)0x8e91, + (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x39e6, (q15_t)0x8dd9, + (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x387e, (q15_t)0x8d25, + (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3714, (q15_t)0x8c76, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35a8, (q15_t)0x8bcb, + (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x343a, (q15_t)0x8b25, + (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x32ca, (q15_t)0x8a83, + (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x3158, (q15_t)0x89e5, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x2fe4, (q15_t)0x894d, + (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2e6e, (q15_t)0x88b9, + (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2cf7, (q15_t)0x8829, + (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2b7d, (q15_t)0x879e, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a02, (q15_t)0x8718, + (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x2886, (q15_t)0x8696, + (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2707, (q15_t)0x8619, + (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x2588, (q15_t)0x85a1, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2407, (q15_t)0x852d, + (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x2284, (q15_t)0x84be, + (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2100, (q15_t)0x8454, + (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1f7b, (q15_t)0x83ef, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1df5, (q15_t)0x838f, + (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1c6d, (q15_t)0x8333, + (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1ae4, (q15_t)0x82dc, + (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x195b, (q15_t)0x828a, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x17d0, (q15_t)0x823d, + (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x1645, (q15_t)0x81f4, + (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x14b8, (q15_t)0x81b1, + (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x132b, (q15_t)0x8172, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x119d, (q15_t)0x8138, + (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x100e, (q15_t)0x8103, + (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xe7f, (q15_t)0x80d3, + (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xcef, (q15_t)0x80a8, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xb5f, (q15_t)0x8082, + (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa33, (q15_t)0x8069, (q15_t)0x9ce, (q15_t)0x8061, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x83d, (q15_t)0x8044, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x775, (q15_t)0x8038, (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6ac, (q15_t)0x802d, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x51a, (q15_t)0x801b, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x451, (q15_t)0x8013, (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x388, (q15_t)0x800d, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x1f6, (q15_t)0x8004, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x12d, (q15_t)0x8002, (q15_t)0xc9, (q15_t)0x8001, (q15_t)0x64, (q15_t)0x8001 +}; + + const q15_t __ALIGNED(4) cos_factorsQ15_512[512] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ff9, (q15_t)0x7ff7, + (q15_t)0x7ff4, (q15_t)0x7ff2, (q15_t)0x7fee, (q15_t)0x7feb, (q15_t)0x7fe7, (q15_t)0x7fe3, (q15_t)0x7fdf, (q15_t)0x7fda, + (q15_t)0x7fd6, (q15_t)0x7fd0, (q15_t)0x7fcb, (q15_t)0x7fc5, (q15_t)0x7fbf, (q15_t)0x7fb8, (q15_t)0x7fb1, (q15_t)0x7faa, + (q15_t)0x7fa3, (q15_t)0x7f9b, (q15_t)0x7f93, (q15_t)0x7f8b, (q15_t)0x7f82, (q15_t)0x7f79, (q15_t)0x7f70, (q15_t)0x7f67, + (q15_t)0x7f5d, (q15_t)0x7f53, (q15_t)0x7f48, (q15_t)0x7f3d, (q15_t)0x7f32, (q15_t)0x7f27, (q15_t)0x7f1b, (q15_t)0x7f0f, + (q15_t)0x7f03, (q15_t)0x7ef6, (q15_t)0x7ee9, (q15_t)0x7edc, (q15_t)0x7ecf, (q15_t)0x7ec1, (q15_t)0x7eb3, (q15_t)0x7ea4, + (q15_t)0x7e95, (q15_t)0x7e86, (q15_t)0x7e77, (q15_t)0x7e67, (q15_t)0x7e57, (q15_t)0x7e47, (q15_t)0x7e37, (q15_t)0x7e26, + (q15_t)0x7e14, (q15_t)0x7e03, (q15_t)0x7df1, (q15_t)0x7ddf, (q15_t)0x7dcd, (q15_t)0x7dba, (q15_t)0x7da7, (q15_t)0x7d94, + (q15_t)0x7d80, (q15_t)0x7d6c, (q15_t)0x7d58, (q15_t)0x7d43, (q15_t)0x7d2f, (q15_t)0x7d19, (q15_t)0x7d04, (q15_t)0x7cee, + (q15_t)0x7cd8, (q15_t)0x7cc2, (q15_t)0x7cab, (q15_t)0x7c94, (q15_t)0x7c7d, (q15_t)0x7c66, (q15_t)0x7c4e, (q15_t)0x7c36, + (q15_t)0x7c1d, (q15_t)0x7c05, (q15_t)0x7beb, (q15_t)0x7bd2, (q15_t)0x7bb9, (q15_t)0x7b9f, (q15_t)0x7b84, (q15_t)0x7b6a, + (q15_t)0x7b4f, (q15_t)0x7b34, (q15_t)0x7b19, (q15_t)0x7afd, (q15_t)0x7ae1, (q15_t)0x7ac5, (q15_t)0x7aa8, (q15_t)0x7a8b, + (q15_t)0x7a6e, (q15_t)0x7a50, (q15_t)0x7a33, (q15_t)0x7a15, (q15_t)0x79f6, (q15_t)0x79d8, (q15_t)0x79b9, (q15_t)0x7999, + (q15_t)0x797a, (q15_t)0x795a, (q15_t)0x793a, (q15_t)0x7919, (q15_t)0x78f9, (q15_t)0x78d8, (q15_t)0x78b6, (q15_t)0x7895, + (q15_t)0x7873, (q15_t)0x7851, (q15_t)0x782e, (q15_t)0x780c, (q15_t)0x77e9, (q15_t)0x77c5, (q15_t)0x77a2, (q15_t)0x777e, + (q15_t)0x775a, (q15_t)0x7735, (q15_t)0x7710, (q15_t)0x76eb, (q15_t)0x76c6, (q15_t)0x76a0, (q15_t)0x767b, (q15_t)0x7654, + (q15_t)0x762e, (q15_t)0x7607, (q15_t)0x75e0, (q15_t)0x75b9, (q15_t)0x7591, (q15_t)0x7569, (q15_t)0x7541, (q15_t)0x7519, + (q15_t)0x74f0, (q15_t)0x74c7, (q15_t)0x749e, (q15_t)0x7474, (q15_t)0x744a, (q15_t)0x7420, (q15_t)0x73f6, (q15_t)0x73cb, + (q15_t)0x73a0, (q15_t)0x7375, (q15_t)0x7349, (q15_t)0x731d, (q15_t)0x72f1, (q15_t)0x72c5, (q15_t)0x7298, (q15_t)0x726b, + (q15_t)0x723e, (q15_t)0x7211, (q15_t)0x71e3, (q15_t)0x71b5, (q15_t)0x7186, (q15_t)0x7158, (q15_t)0x7129, (q15_t)0x70fa, + (q15_t)0x70cb, (q15_t)0x709b, (q15_t)0x706b, (q15_t)0x703b, (q15_t)0x700a, (q15_t)0x6fda, (q15_t)0x6fa9, (q15_t)0x6f77, + (q15_t)0x6f46, (q15_t)0x6f14, (q15_t)0x6ee2, (q15_t)0x6eaf, (q15_t)0x6e7d, (q15_t)0x6e4a, (q15_t)0x6e17, (q15_t)0x6de3, + (q15_t)0x6db0, (q15_t)0x6d7c, (q15_t)0x6d48, (q15_t)0x6d13, (q15_t)0x6cde, (q15_t)0x6ca9, (q15_t)0x6c74, (q15_t)0x6c3f, + (q15_t)0x6c09, (q15_t)0x6bd3, (q15_t)0x6b9c, (q15_t)0x6b66, (q15_t)0x6b2f, (q15_t)0x6af8, (q15_t)0x6ac1, (q15_t)0x6a89, + (q15_t)0x6a51, (q15_t)0x6a19, (q15_t)0x69e1, (q15_t)0x69a8, (q15_t)0x696f, (q15_t)0x6936, (q15_t)0x68fd, (q15_t)0x68c3, + (q15_t)0x6889, (q15_t)0x684f, (q15_t)0x6815, (q15_t)0x67da, (q15_t)0x679f, (q15_t)0x6764, (q15_t)0x6729, (q15_t)0x66ed, + (q15_t)0x66b1, (q15_t)0x6675, (q15_t)0x6639, (q15_t)0x65fc, (q15_t)0x65bf, (q15_t)0x6582, (q15_t)0x6545, (q15_t)0x6507, + (q15_t)0x64c9, (q15_t)0x648b, (q15_t)0x644d, (q15_t)0x640e, (q15_t)0x63cf, (q15_t)0x6390, (q15_t)0x6351, (q15_t)0x6311, + (q15_t)0x62d2, (q15_t)0x6292, (q15_t)0x6251, (q15_t)0x6211, (q15_t)0x61d0, (q15_t)0x618f, (q15_t)0x614e, (q15_t)0x610d, + (q15_t)0x60cb, (q15_t)0x6089, (q15_t)0x6047, (q15_t)0x6004, (q15_t)0x5fc2, (q15_t)0x5f7f, (q15_t)0x5f3c, (q15_t)0x5ef9, + (q15_t)0x5eb5, (q15_t)0x5e71, (q15_t)0x5e2d, (q15_t)0x5de9, (q15_t)0x5da5, (q15_t)0x5d60, (q15_t)0x5d1b, (q15_t)0x5cd6, + (q15_t)0x5c91, (q15_t)0x5c4b, (q15_t)0x5c06, (q15_t)0x5bc0, (q15_t)0x5b79, (q15_t)0x5b33, (q15_t)0x5aec, (q15_t)0x5aa5, + (q15_t)0x5a5e, (q15_t)0x5a17, (q15_t)0x59d0, (q15_t)0x5988, (q15_t)0x5940, (q15_t)0x58f8, (q15_t)0x58af, (q15_t)0x5867, + (q15_t)0x581e, (q15_t)0x57d5, (q15_t)0x578c, (q15_t)0x5742, (q15_t)0x56f9, (q15_t)0x56af, (q15_t)0x5665, (q15_t)0x561a, + (q15_t)0x55d0, (q15_t)0x5585, (q15_t)0x553a, (q15_t)0x54ef, (q15_t)0x54a4, (q15_t)0x5458, (q15_t)0x540d, (q15_t)0x53c1, + (q15_t)0x5375, (q15_t)0x5328, (q15_t)0x52dc, (q15_t)0x528f, (q15_t)0x5242, (q15_t)0x51f5, (q15_t)0x51a8, (q15_t)0x515a, + (q15_t)0x510c, (q15_t)0x50bf, (q15_t)0x5070, (q15_t)0x5022, (q15_t)0x4fd4, (q15_t)0x4f85, (q15_t)0x4f36, (q15_t)0x4ee7, + (q15_t)0x4e98, (q15_t)0x4e48, (q15_t)0x4df9, (q15_t)0x4da9, (q15_t)0x4d59, (q15_t)0x4d09, (q15_t)0x4cb8, (q15_t)0x4c68, + (q15_t)0x4c17, (q15_t)0x4bc6, (q15_t)0x4b75, (q15_t)0x4b24, (q15_t)0x4ad2, (q15_t)0x4a81, (q15_t)0x4a2f, (q15_t)0x49dd, + (q15_t)0x498a, (q15_t)0x4938, (q15_t)0x48e6, (q15_t)0x4893, (q15_t)0x4840, (q15_t)0x47ed, (q15_t)0x479a, (q15_t)0x4746, + (q15_t)0x46f3, (q15_t)0x469f, (q15_t)0x464b, (q15_t)0x45f7, (q15_t)0x45a3, (q15_t)0x454e, (q15_t)0x44fa, (q15_t)0x44a5, + (q15_t)0x4450, (q15_t)0x43fb, (q15_t)0x43a5, (q15_t)0x4350, (q15_t)0x42fa, (q15_t)0x42a5, (q15_t)0x424f, (q15_t)0x41f9, + (q15_t)0x41a2, (q15_t)0x414c, (q15_t)0x40f6, (q15_t)0x409f, (q15_t)0x4048, (q15_t)0x3ff1, (q15_t)0x3f9a, (q15_t)0x3f43, + (q15_t)0x3eeb, (q15_t)0x3e93, (q15_t)0x3e3c, (q15_t)0x3de4, (q15_t)0x3d8c, (q15_t)0x3d33, (q15_t)0x3cdb, (q15_t)0x3c83, + (q15_t)0x3c2a, (q15_t)0x3bd1, (q15_t)0x3b78, (q15_t)0x3b1f, (q15_t)0x3ac6, (q15_t)0x3a6c, (q15_t)0x3a13, (q15_t)0x39b9, + (q15_t)0x395f, (q15_t)0x3906, (q15_t)0x38ab, (q15_t)0x3851, (q15_t)0x37f7, (q15_t)0x379c, (q15_t)0x3742, (q15_t)0x36e7, + (q15_t)0x368c, (q15_t)0x3631, (q15_t)0x35d6, (q15_t)0x357b, (q15_t)0x351f, (q15_t)0x34c4, (q15_t)0x3468, (q15_t)0x340c, + (q15_t)0x33b0, (q15_t)0x3354, (q15_t)0x32f8, (q15_t)0x329c, (q15_t)0x3240, (q15_t)0x31e3, (q15_t)0x3186, (q15_t)0x312a, + (q15_t)0x30cd, (q15_t)0x3070, (q15_t)0x3013, (q15_t)0x2fb5, (q15_t)0x2f58, (q15_t)0x2efb, (q15_t)0x2e9d, (q15_t)0x2e3f, + (q15_t)0x2de2, (q15_t)0x2d84, (q15_t)0x2d26, (q15_t)0x2cc8, (q15_t)0x2c69, (q15_t)0x2c0b, (q15_t)0x2bad, (q15_t)0x2b4e, + (q15_t)0x2aef, (q15_t)0x2a91, (q15_t)0x2a32, (q15_t)0x29d3, (q15_t)0x2974, (q15_t)0x2915, (q15_t)0x28b5, (q15_t)0x2856, + (q15_t)0x27f6, (q15_t)0x2797, (q15_t)0x2737, (q15_t)0x26d8, (q15_t)0x2678, (q15_t)0x2618, (q15_t)0x25b8, (q15_t)0x2558, + (q15_t)0x24f7, (q15_t)0x2497, (q15_t)0x2437, (q15_t)0x23d6, (q15_t)0x2376, (q15_t)0x2315, (q15_t)0x22b4, (q15_t)0x2254, + (q15_t)0x21f3, (q15_t)0x2192, (q15_t)0x2131, (q15_t)0x20d0, (q15_t)0x206e, (q15_t)0x200d, (q15_t)0x1fac, (q15_t)0x1f4a, + (q15_t)0x1ee9, (q15_t)0x1e87, (q15_t)0x1e25, (q15_t)0x1dc4, (q15_t)0x1d62, (q15_t)0x1d00, (q15_t)0x1c9e, (q15_t)0x1c3c, + (q15_t)0x1bda, (q15_t)0x1b78, (q15_t)0x1b16, (q15_t)0x1ab3, (q15_t)0x1a51, (q15_t)0x19ef, (q15_t)0x198c, (q15_t)0x192a, + (q15_t)0x18c7, (q15_t)0x1864, (q15_t)0x1802, (q15_t)0x179f, (q15_t)0x173c, (q15_t)0x16d9, (q15_t)0x1676, (q15_t)0x1613, + (q15_t)0x15b0, (q15_t)0x154d, (q15_t)0x14ea, (q15_t)0x1487, (q15_t)0x1423, (q15_t)0x13c0, (q15_t)0x135d, (q15_t)0x12f9, + (q15_t)0x1296, (q15_t)0x1232, (q15_t)0x11cf, (q15_t)0x116b, (q15_t)0x1108, (q15_t)0x10a4, (q15_t)0x1040, (q15_t)0xfdd, + (q15_t)0xf79, (q15_t)0xf15, (q15_t)0xeb1, (q15_t)0xe4d, (q15_t)0xde9, (q15_t)0xd85, (q15_t)0xd21, (q15_t)0xcbd, + (q15_t)0xc59, (q15_t)0xbf5, (q15_t)0xb91, (q15_t)0xb2d, (q15_t)0xac9, (q15_t)0xa65, (q15_t)0xa00, (q15_t)0x99c, + (q15_t)0x938, (q15_t)0x8d4, (q15_t)0x86f, (q15_t)0x80b, (q15_t)0x7a7, (q15_t)0x742, (q15_t)0x6de, (q15_t)0x67a, + (q15_t)0x615, (q15_t)0x5b1, (q15_t)0x54c, (q15_t)0x4e8, (q15_t)0x483, (q15_t)0x41f, (q15_t)0x3ba, (q15_t)0x356, + (q15_t)0x2f1, (q15_t)0x28d, (q15_t)0x228, (q15_t)0x1c4, (q15_t)0x15f, (q15_t)0xfb, (q15_t)0x96, (q15_t)0x32 +}; + + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048) + const q15_t __ALIGNED(4) WeightsQ15_2048[4096] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffb5, + (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff51, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeec, + (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffd, (q15_t)0xfe88, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe23, + (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffa, (q15_t)0xfdbe, + (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff8, (q15_t)0xfd5a, + (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff6, (q15_t)0xfcf5, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfc91, + (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc2c, + (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbc8, + (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7fea, (q15_t)0xfb64, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe6, (q15_t)0xfaff, + (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe2, (q15_t)0xfa9b, + (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fde, (q15_t)0xfa36, + (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fd9, (q15_t)0xf9d2, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd4, (q15_t)0xf96d, + (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fcf, (q15_t)0xf909, + (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fc9, (q15_t)0xf8a5, + (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc3, (q15_t)0xf840, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbd, (q15_t)0xf7dc, + (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb7, (q15_t)0xf778, + (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb0, (q15_t)0xf713, + (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7fa9, (q15_t)0xf6af, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa1, (q15_t)0xf64b, + (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f99, (q15_t)0xf5e7, + (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f91, (q15_t)0xf582, + (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f89, (q15_t)0xf51e, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f80, (q15_t)0xf4ba, + (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f77, (q15_t)0xf456, + (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f6e, (q15_t)0xf3f2, + (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f64, (q15_t)0xf38e, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5a, (q15_t)0xf32a, + (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f50, (q15_t)0xf2c6, + (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f45, (q15_t)0xf262, + (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3b, (q15_t)0xf1fe, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f2f, (q15_t)0xf19a, + (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f24, (q15_t)0xf136, + (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f18, (q15_t)0xf0d2, + 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(q15_t)0x8067, (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9e7, (q15_t)0x8063, + (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x983, (q15_t)0x805b, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x951, (q15_t)0x8057, (q15_t)0x938, (q15_t)0x8056, (q15_t)0x91f, (q15_t)0x8054, + (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8bb, (q15_t)0x804d, + (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x888, (q15_t)0x8049, (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x856, (q15_t)0x8046, + (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x824, (q15_t)0x8043, (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x7f2, (q15_t)0x8040, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x78e, (q15_t)0x803a, + (q15_t)0x775, (q15_t)0x8038, (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x742, (q15_t)0x8035, (q15_t)0x729, (q15_t)0x8034, + (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6c5, (q15_t)0x802e, + (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x693, (q15_t)0x802c, (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x660, (q15_t)0x8029, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x615, (q15_t)0x8026, (q15_t)0x5fc, (q15_t)0x8024, + (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x598, (q15_t)0x8020, + (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x565, (q15_t)0x801e, (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x533, (q15_t)0x801c, + (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4cf, (q15_t)0x8018, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x483, (q15_t)0x8015, (q15_t)0x46a, (q15_t)0x8014, + (q15_t)0x451, (q15_t)0x8013, (q15_t)0x438, (q15_t)0x8012, (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x406, (q15_t)0x8011, + (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3a1, (q15_t)0x800e, + (q15_t)0x388, (q15_t)0x800d, (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x356, (q15_t)0x800c, (q15_t)0x33d, (q15_t)0x800b, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2d8, (q15_t)0x8009, + (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x274, (q15_t)0x8007, + (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x242, (q15_t)0x8006, (q15_t)0x228, (q15_t)0x8005, (q15_t)0x20f, (q15_t)0x8005, + (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1ab, (q15_t)0x8003, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x178, (q15_t)0x8003, (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x146, (q15_t)0x8002, + (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x114, (q15_t)0x8002, (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xe2, (q15_t)0x8001, + (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xaf, (q15_t)0x8001, (q15_t)0x96, (q15_t)0x8001, (q15_t)0x7d, (q15_t)0x8001, + (q15_t)0x64, (q15_t)0x8001, (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x32, (q15_t)0x8001, (q15_t)0x19, (q15_t)0x8001 +}; + const q15_t __ALIGNED(4) cos_factorsQ15_2048[2048] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, + (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, + (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, + (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff1, (q15_t)0x7ff0, + (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7fea, + (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe3, (q15_t)0x7fe2, + (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fda, (q15_t)0x7fd9, + (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd0, (q15_t)0x7fce, + (q15_t)0x7fcd, (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc4, (q15_t)0x7fc3, + (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fbe, (q15_t)0x7fbc, (q15_t)0x7fbb, (q15_t)0x7fb9, (q15_t)0x7fb7, (q15_t)0x7fb6, + (q15_t)0x7fb4, (q15_t)0x7fb2, (q15_t)0x7fb1, (q15_t)0x7faf, (q15_t)0x7fad, (q15_t)0x7fab, (q15_t)0x7fa9, (q15_t)0x7fa8, + (q15_t)0x7fa6, (q15_t)0x7fa4, (q15_t)0x7fa2, (q15_t)0x7fa0, (q15_t)0x7f9e, (q15_t)0x7f9c, (q15_t)0x7f9a, (q15_t)0x7f98, + (q15_t)0x7f96, (q15_t)0x7f94, (q15_t)0x7f92, (q15_t)0x7f90, (q15_t)0x7f8e, (q15_t)0x7f8c, (q15_t)0x7f8a, (q15_t)0x7f88, + (q15_t)0x7f86, (q15_t)0x7f83, (q15_t)0x7f81, (q15_t)0x7f7f, (q15_t)0x7f7d, (q15_t)0x7f7b, (q15_t)0x7f78, (q15_t)0x7f76, + (q15_t)0x7f74, (q15_t)0x7f71, (q15_t)0x7f6f, (q15_t)0x7f6d, (q15_t)0x7f6a, (q15_t)0x7f68, (q15_t)0x7f65, (q15_t)0x7f63, + (q15_t)0x7f60, (q15_t)0x7f5e, (q15_t)0x7f5b, (q15_t)0x7f59, (q15_t)0x7f56, (q15_t)0x7f54, (q15_t)0x7f51, (q15_t)0x7f4f, + (q15_t)0x7f4c, (q15_t)0x7f49, (q15_t)0x7f47, (q15_t)0x7f44, (q15_t)0x7f41, (q15_t)0x7f3f, (q15_t)0x7f3c, (q15_t)0x7f39, + (q15_t)0x7f36, (q15_t)0x7f34, (q15_t)0x7f31, (q15_t)0x7f2e, (q15_t)0x7f2b, (q15_t)0x7f28, (q15_t)0x7f25, (q15_t)0x7f23, + (q15_t)0x7f20, (q15_t)0x7f1d, (q15_t)0x7f1a, (q15_t)0x7f17, (q15_t)0x7f14, (q15_t)0x7f11, (q15_t)0x7f0e, (q15_t)0x7f0b, + (q15_t)0x7f08, (q15_t)0x7f04, (q15_t)0x7f01, (q15_t)0x7efe, (q15_t)0x7efb, (q15_t)0x7ef8, (q15_t)0x7ef5, (q15_t)0x7ef1, + (q15_t)0x7eee, (q15_t)0x7eeb, (q15_t)0x7ee8, (q15_t)0x7ee4, (q15_t)0x7ee1, (q15_t)0x7ede, (q15_t)0x7eda, (q15_t)0x7ed7, + (q15_t)0x7ed4, (q15_t)0x7ed0, (q15_t)0x7ecd, (q15_t)0x7ec9, (q15_t)0x7ec6, (q15_t)0x7ec3, (q15_t)0x7ebf, (q15_t)0x7ebb, + (q15_t)0x7eb8, (q15_t)0x7eb4, (q15_t)0x7eb1, (q15_t)0x7ead, (q15_t)0x7eaa, (q15_t)0x7ea6, (q15_t)0x7ea2, (q15_t)0x7e9f, + (q15_t)0x7e9b, (q15_t)0x7e97, (q15_t)0x7e94, (q15_t)0x7e90, (q15_t)0x7e8c, (q15_t)0x7e88, (q15_t)0x7e84, (q15_t)0x7e81, + (q15_t)0x7e7d, (q15_t)0x7e79, (q15_t)0x7e75, (q15_t)0x7e71, (q15_t)0x7e6d, (q15_t)0x7e69, (q15_t)0x7e65, (q15_t)0x7e61, + (q15_t)0x7e5d, (q15_t)0x7e59, (q15_t)0x7e55, (q15_t)0x7e51, (q15_t)0x7e4d, (q15_t)0x7e49, (q15_t)0x7e45, (q15_t)0x7e41, + (q15_t)0x7e3d, (q15_t)0x7e39, (q15_t)0x7e34, (q15_t)0x7e30, (q15_t)0x7e2c, (q15_t)0x7e28, (q15_t)0x7e24, (q15_t)0x7e1f, + (q15_t)0x7e1b, (q15_t)0x7e17, (q15_t)0x7e12, (q15_t)0x7e0e, (q15_t)0x7e0a, (q15_t)0x7e05, (q15_t)0x7e01, (q15_t)0x7dfc, + (q15_t)0x7df8, (q15_t)0x7df3, (q15_t)0x7def, (q15_t)0x7dea, (q15_t)0x7de6, (q15_t)0x7de1, (q15_t)0x7ddd, (q15_t)0x7dd8, + (q15_t)0x7dd4, (q15_t)0x7dcf, (q15_t)0x7dca, (q15_t)0x7dc6, (q15_t)0x7dc1, (q15_t)0x7dbc, (q15_t)0x7db8, (q15_t)0x7db3, + (q15_t)0x7dae, (q15_t)0x7da9, (q15_t)0x7da5, (q15_t)0x7da0, (q15_t)0x7d9b, (q15_t)0x7d96, (q15_t)0x7d91, (q15_t)0x7d8c, + (q15_t)0x7d87, (q15_t)0x7d82, (q15_t)0x7d7e, (q15_t)0x7d79, (q15_t)0x7d74, (q15_t)0x7d6f, (q15_t)0x7d6a, (q15_t)0x7d65, + (q15_t)0x7d60, (q15_t)0x7d5a, (q15_t)0x7d55, (q15_t)0x7d50, (q15_t)0x7d4b, (q15_t)0x7d46, (q15_t)0x7d41, (q15_t)0x7d3c, + (q15_t)0x7d36, (q15_t)0x7d31, (q15_t)0x7d2c, (q15_t)0x7d27, (q15_t)0x7d21, (q15_t)0x7d1c, (q15_t)0x7d17, (q15_t)0x7d11, + (q15_t)0x7d0c, (q15_t)0x7d07, (q15_t)0x7d01, (q15_t)0x7cfc, (q15_t)0x7cf6, (q15_t)0x7cf1, (q15_t)0x7cec, (q15_t)0x7ce6, + (q15_t)0x7ce1, (q15_t)0x7cdb, (q15_t)0x7cd5, (q15_t)0x7cd0, (q15_t)0x7cca, (q15_t)0x7cc5, (q15_t)0x7cbf, (q15_t)0x7cb9, + (q15_t)0x7cb4, (q15_t)0x7cae, (q15_t)0x7ca8, (q15_t)0x7ca3, (q15_t)0x7c9d, (q15_t)0x7c97, (q15_t)0x7c91, (q15_t)0x7c8c, + (q15_t)0x7c86, (q15_t)0x7c80, (q15_t)0x7c7a, (q15_t)0x7c74, (q15_t)0x7c6e, (q15_t)0x7c69, (q15_t)0x7c63, (q15_t)0x7c5d, + (q15_t)0x7c57, (q15_t)0x7c51, (q15_t)0x7c4b, (q15_t)0x7c45, (q15_t)0x7c3f, (q15_t)0x7c39, (q15_t)0x7c33, (q15_t)0x7c2d, + (q15_t)0x7c26, (q15_t)0x7c20, (q15_t)0x7c1a, (q15_t)0x7c14, (q15_t)0x7c0e, (q15_t)0x7c08, (q15_t)0x7c01, (q15_t)0x7bfb, + (q15_t)0x7bf5, (q15_t)0x7bef, (q15_t)0x7be8, (q15_t)0x7be2, (q15_t)0x7bdc, (q15_t)0x7bd5, (q15_t)0x7bcf, (q15_t)0x7bc9, + (q15_t)0x7bc2, (q15_t)0x7bbc, (q15_t)0x7bb5, (q15_t)0x7baf, (q15_t)0x7ba8, (q15_t)0x7ba2, (q15_t)0x7b9b, (q15_t)0x7b95, + (q15_t)0x7b8e, (q15_t)0x7b88, (q15_t)0x7b81, (q15_t)0x7b7a, (q15_t)0x7b74, (q15_t)0x7b6d, (q15_t)0x7b67, (q15_t)0x7b60, + (q15_t)0x7b59, (q15_t)0x7b52, (q15_t)0x7b4c, (q15_t)0x7b45, (q15_t)0x7b3e, (q15_t)0x7b37, (q15_t)0x7b31, (q15_t)0x7b2a, + (q15_t)0x7b23, (q15_t)0x7b1c, (q15_t)0x7b15, (q15_t)0x7b0e, (q15_t)0x7b07, (q15_t)0x7b00, (q15_t)0x7af9, (q15_t)0x7af2, + (q15_t)0x7aeb, (q15_t)0x7ae4, (q15_t)0x7add, (q15_t)0x7ad6, (q15_t)0x7acf, (q15_t)0x7ac8, (q15_t)0x7ac1, (q15_t)0x7aba, + (q15_t)0x7ab3, (q15_t)0x7aac, (q15_t)0x7aa4, (q15_t)0x7a9d, (q15_t)0x7a96, (q15_t)0x7a8f, (q15_t)0x7a87, (q15_t)0x7a80, + (q15_t)0x7a79, (q15_t)0x7a72, (q15_t)0x7a6a, (q15_t)0x7a63, (q15_t)0x7a5c, (q15_t)0x7a54, (q15_t)0x7a4d, (q15_t)0x7a45, + (q15_t)0x7a3e, (q15_t)0x7a36, (q15_t)0x7a2f, (q15_t)0x7a27, (q15_t)0x7a20, (q15_t)0x7a18, (q15_t)0x7a11, (q15_t)0x7a09, + (q15_t)0x7a02, (q15_t)0x79fa, (q15_t)0x79f2, (q15_t)0x79eb, (q15_t)0x79e3, (q15_t)0x79db, (q15_t)0x79d4, (q15_t)0x79cc, + (q15_t)0x79c4, (q15_t)0x79bc, (q15_t)0x79b5, (q15_t)0x79ad, (q15_t)0x79a5, (q15_t)0x799d, (q15_t)0x7995, (q15_t)0x798e, + (q15_t)0x7986, (q15_t)0x797e, (q15_t)0x7976, (q15_t)0x796e, (q15_t)0x7966, (q15_t)0x795e, (q15_t)0x7956, (q15_t)0x794e, + (q15_t)0x7946, (q15_t)0x793e, (q15_t)0x7936, (q15_t)0x792e, (q15_t)0x7926, (q15_t)0x791e, (q15_t)0x7915, (q15_t)0x790d, + (q15_t)0x7905, (q15_t)0x78fd, (q15_t)0x78f5, (q15_t)0x78ec, (q15_t)0x78e4, (q15_t)0x78dc, (q15_t)0x78d4, (q15_t)0x78cb, + (q15_t)0x78c3, (q15_t)0x78bb, (q15_t)0x78b2, (q15_t)0x78aa, (q15_t)0x78a2, (q15_t)0x7899, (q15_t)0x7891, (q15_t)0x7888, + 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(q15_t)0x1098, (q15_t)0x107f, + (q15_t)0x1066, (q15_t)0x104d, (q15_t)0x1034, (q15_t)0x101b, (q15_t)0x1002, (q15_t)0xfe9, (q15_t)0xfd0, (q15_t)0xfb7, + (q15_t)0xf9e, (q15_t)0xf85, (q15_t)0xf6c, (q15_t)0xf53, (q15_t)0xf3a, (q15_t)0xf21, (q15_t)0xf08, (q15_t)0xef0, + (q15_t)0xed7, (q15_t)0xebe, (q15_t)0xea5, (q15_t)0xe8c, (q15_t)0xe73, (q15_t)0xe5a, (q15_t)0xe41, (q15_t)0xe28, + (q15_t)0xe0f, (q15_t)0xdf6, (q15_t)0xddd, (q15_t)0xdc4, (q15_t)0xdab, (q15_t)0xd92, (q15_t)0xd79, (q15_t)0xd60, + (q15_t)0xd47, (q15_t)0xd2e, (q15_t)0xd15, (q15_t)0xcfc, (q15_t)0xce3, (q15_t)0xcca, (q15_t)0xcb1, (q15_t)0xc98, + (q15_t)0xc7f, (q15_t)0xc66, (q15_t)0xc4d, (q15_t)0xc34, (q15_t)0xc1b, (q15_t)0xc02, (q15_t)0xbe9, (q15_t)0xbd0, + (q15_t)0xbb7, (q15_t)0xb9e, (q15_t)0xb85, (q15_t)0xb6c, (q15_t)0xb53, (q15_t)0xb3a, (q15_t)0xb20, (q15_t)0xb07, + (q15_t)0xaee, (q15_t)0xad5, (q15_t)0xabc, (q15_t)0xaa3, (q15_t)0xa8a, (q15_t)0xa71, (q15_t)0xa58, (q15_t)0xa3f, + (q15_t)0xa26, (q15_t)0xa0d, (q15_t)0x9f4, (q15_t)0x9db, (q15_t)0x9c2, (q15_t)0x9a9, (q15_t)0x990, (q15_t)0x977, + (q15_t)0x95e, (q15_t)0x944, (q15_t)0x92b, (q15_t)0x912, (q15_t)0x8f9, (q15_t)0x8e0, (q15_t)0x8c7, (q15_t)0x8ae, + (q15_t)0x895, (q15_t)0x87c, (q15_t)0x863, (q15_t)0x84a, (q15_t)0x831, (q15_t)0x818, (q15_t)0x7fe, (q15_t)0x7e5, + (q15_t)0x7cc, (q15_t)0x7b3, (q15_t)0x79a, (q15_t)0x781, (q15_t)0x768, (q15_t)0x74f, (q15_t)0x736, (q15_t)0x71d, + (q15_t)0x704, (q15_t)0x6ea, (q15_t)0x6d1, (q15_t)0x6b8, (q15_t)0x69f, (q15_t)0x686, (q15_t)0x66d, (q15_t)0x654, + (q15_t)0x63b, (q15_t)0x622, (q15_t)0x609, (q15_t)0x5ef, (q15_t)0x5d6, (q15_t)0x5bd, (q15_t)0x5a4, (q15_t)0x58b, + (q15_t)0x572, (q15_t)0x559, (q15_t)0x540, (q15_t)0x527, (q15_t)0x50d, (q15_t)0x4f4, (q15_t)0x4db, (q15_t)0x4c2, + (q15_t)0x4a9, (q15_t)0x490, (q15_t)0x477, (q15_t)0x45e, (q15_t)0x445, (q15_t)0x42b, (q15_t)0x412, (q15_t)0x3f9, + (q15_t)0x3e0, (q15_t)0x3c7, (q15_t)0x3ae, (q15_t)0x395, (q15_t)0x37c, (q15_t)0x362, (q15_t)0x349, (q15_t)0x330, + (q15_t)0x317, (q15_t)0x2fe, (q15_t)0x2e5, (q15_t)0x2cc, (q15_t)0x2b3, (q15_t)0x299, (q15_t)0x280, (q15_t)0x267, + (q15_t)0x24e, (q15_t)0x235, (q15_t)0x21c, (q15_t)0x203, (q15_t)0x1ea, (q15_t)0x1d0, (q15_t)0x1b7, (q15_t)0x19e, + (q15_t)0x185, (q15_t)0x16c, (q15_t)0x153, (q15_t)0x13a, (q15_t)0x121, (q15_t)0x107, (q15_t)0xee, (q15_t)0xd5, + (q15_t)0xbc, (q15_t)0xa3, (q15_t)0x8a, (q15_t)0x71, (q15_t)0x57, (q15_t)0x3e, (q15_t)0x25, (q15_t)0xc + +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192) + const q15_t __ALIGNED(4) WeightsQ15_8192[16384] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfffa, (q15_t)0x7fff, (q15_t)0xfff4, (q15_t)0x7fff, (q15_t)0xffee, + (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffe1, (q15_t)0x7fff, (q15_t)0xffdb, (q15_t)0x7fff, (q15_t)0xffd5, + (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc8, (q15_t)0x7fff, (q15_t)0xffc2, (q15_t)0x7fff, (q15_t)0xffbb, + (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffaf, (q15_t)0x7fff, (q15_t)0xffa9, (q15_t)0x7fff, (q15_t)0xffa2, + (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff96, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff89, + (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff7d, (q15_t)0x7fff, (q15_t)0xff76, (q15_t)0x7fff, (q15_t)0xff70, + (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff63, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff57, + (q15_t)0x7fff, (q15_t)0xff51, (q15_t)0x7fff, (q15_t)0xff4a, (q15_t)0x7fff, (q15_t)0xff44, (q15_t)0x7fff, (q15_t)0xff3e, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff31, (q15_t)0x7fff, (q15_t)0xff2b, (q15_t)0x7fff, (q15_t)0xff25, + (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff18, (q15_t)0x7fff, (q15_t)0xff12, (q15_t)0x7fff, (q15_t)0xff0b, + (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeff, (q15_t)0x7ffe, (q15_t)0xfef9, (q15_t)0x7ffe, (q15_t)0xfef2, + (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffe, (q15_t)0xfee6, (q15_t)0x7ffe, (q15_t)0xfedf, (q15_t)0x7ffe, (q15_t)0xfed9, + (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfecd, (q15_t)0x7ffe, (q15_t)0xfec6, (q15_t)0x7ffe, (q15_t)0xfec0, + (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfeb3, (q15_t)0x7ffe, (q15_t)0xfead, (q15_t)0x7ffe, (q15_t)0xfea7, + (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffe, (q15_t)0xfe9a, (q15_t)0x7ffd, (q15_t)0xfe94, (q15_t)0x7ffd, (q15_t)0xfe8e, + (q15_t)0x7ffd, (q15_t)0xfe88, (q15_t)0x7ffd, (q15_t)0xfe81, (q15_t)0x7ffd, (q15_t)0xfe7b, (q15_t)0x7ffd, (q15_t)0xfe75, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe68, (q15_t)0x7ffd, (q15_t)0xfe62, (q15_t)0x7ffd, (q15_t)0xfe5c, + (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffd, (q15_t)0xfe4f, (q15_t)0x7ffd, (q15_t)0xfe49, (q15_t)0x7ffc, (q15_t)0xfe42, + (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe36, (q15_t)0x7ffc, (q15_t)0xfe30, (q15_t)0x7ffc, (q15_t)0xfe29, + (q15_t)0x7ffc, (q15_t)0xfe23, (q15_t)0x7ffc, (q15_t)0xfe1d, (q15_t)0x7ffc, (q15_t)0xfe16, (q15_t)0x7ffc, (q15_t)0xfe10, + (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffc, (q15_t)0xfe04, (q15_t)0x7ffb, (q15_t)0xfdfd, (q15_t)0x7ffb, (q15_t)0xfdf7, + (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdea, (q15_t)0x7ffb, (q15_t)0xfde4, (q15_t)0x7ffb, (q15_t)0xfdde, + (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffb, (q15_t)0xfdd1, (q15_t)0x7ffb, (q15_t)0xfdcb, (q15_t)0x7ffb, (q15_t)0xfdc5, + (q15_t)0x7ffa, (q15_t)0xfdbe, (q15_t)0x7ffa, (q15_t)0xfdb8, (q15_t)0x7ffa, (q15_t)0xfdb2, (q15_t)0x7ffa, (q15_t)0xfdac, + (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ffa, (q15_t)0xfd9f, (q15_t)0x7ffa, (q15_t)0xfd99, (q15_t)0x7ffa, (q15_t)0xfd93, + (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd86, (q15_t)0x7ff9, (q15_t)0xfd80, (q15_t)0x7ff9, (q15_t)0xfd79, + (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff9, (q15_t)0xfd6d, (q15_t)0x7ff9, (q15_t)0xfd67, (q15_t)0x7ff9, (q15_t)0xfd60, + (q15_t)0x7ff8, (q15_t)0xfd5a, (q15_t)0x7ff8, (q15_t)0xfd54, (q15_t)0x7ff8, (q15_t)0xfd4d, (q15_t)0x7ff8, (q15_t)0xfd47, + (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff8, (q15_t)0xfd3b, (q15_t)0x7ff8, (q15_t)0xfd34, (q15_t)0x7ff8, (q15_t)0xfd2e, + (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd21, (q15_t)0x7ff7, (q15_t)0xfd1b, (q15_t)0x7ff7, (q15_t)0xfd15, + (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff7, (q15_t)0xfd08, (q15_t)0x7ff7, (q15_t)0xfd02, (q15_t)0x7ff6, (q15_t)0xfcfc, + (q15_t)0x7ff6, (q15_t)0xfcf5, (q15_t)0x7ff6, (q15_t)0xfcef, (q15_t)0x7ff6, (q15_t)0xfce9, (q15_t)0x7ff6, (q15_t)0xfce3, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcd6, (q15_t)0x7ff5, (q15_t)0xfcd0, (q15_t)0x7ff5, (q15_t)0xfcc9, + (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff5, (q15_t)0xfcbd, (q15_t)0x7ff5, (q15_t)0xfcb7, (q15_t)0x7ff5, (q15_t)0xfcb0, + (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfca4, (q15_t)0x7ff4, (q15_t)0xfc9e, (q15_t)0x7ff4, (q15_t)0xfc97, + (q15_t)0x7ff4, (q15_t)0xfc91, (q15_t)0x7ff4, (q15_t)0xfc8b, (q15_t)0x7ff3, (q15_t)0xfc84, (q15_t)0x7ff3, (q15_t)0xfc7e, + (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff3, (q15_t)0xfc72, (q15_t)0x7ff3, (q15_t)0xfc6b, (q15_t)0x7ff2, (q15_t)0xfc65, + (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc58, (q15_t)0x7ff2, (q15_t)0xfc52, (q15_t)0x7ff2, (q15_t)0xfc4c, + (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc3f, (q15_t)0x7ff1, (q15_t)0xfc39, (q15_t)0x7ff1, (q15_t)0xfc33, + (q15_t)0x7ff1, (q15_t)0xfc2c, (q15_t)0x7ff1, (q15_t)0xfc26, (q15_t)0x7ff0, (q15_t)0xfc20, (q15_t)0x7ff0, (q15_t)0xfc1a, + (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7ff0, (q15_t)0xfc0d, (q15_t)0x7ff0, (q15_t)0xfc07, (q15_t)0x7fef, (q15_t)0xfc01, + (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fef, (q15_t)0xfbf4, (q15_t)0x7fef, (q15_t)0xfbee, (q15_t)0x7fef, (q15_t)0xfbe7, + (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbdb, (q15_t)0x7fee, (q15_t)0xfbd5, (q15_t)0x7fee, (q15_t)0xfbce, + (q15_t)0x7fee, (q15_t)0xfbc8, (q15_t)0x7fed, (q15_t)0xfbc2, (q15_t)0x7fed, (q15_t)0xfbbb, (q15_t)0x7fed, (q15_t)0xfbb5, + (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fed, (q15_t)0xfba9, (q15_t)0x7fec, (q15_t)0xfba2, (q15_t)0x7fec, (q15_t)0xfb9c, + (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7fec, (q15_t)0xfb8f, (q15_t)0x7fec, (q15_t)0xfb89, (q15_t)0x7feb, (q15_t)0xfb83, + (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7feb, (q15_t)0xfb76, (q15_t)0x7feb, (q15_t)0xfb70, (q15_t)0x7fea, (q15_t)0xfb6a, + (q15_t)0x7fea, (q15_t)0xfb64, (q15_t)0x7fea, (q15_t)0xfb5d, (q15_t)0x7fea, (q15_t)0xfb57, (q15_t)0x7fea, (q15_t)0xfb51, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe9, (q15_t)0xfb44, (q15_t)0x7fe9, (q15_t)0xfb3e, (q15_t)0x7fe9, (q15_t)0xfb38, + (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe8, (q15_t)0xfb2b, (q15_t)0x7fe8, (q15_t)0xfb25, (q15_t)0x7fe8, (q15_t)0xfb1e, + (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe7, (q15_t)0xfb12, (q15_t)0x7fe7, (q15_t)0xfb0c, (q15_t)0x7fe7, (q15_t)0xfb05, + (q15_t)0x7fe6, (q15_t)0xfaff, (q15_t)0x7fe6, (q15_t)0xfaf9, (q15_t)0x7fe6, (q15_t)0xfaf3, (q15_t)0x7fe6, (q15_t)0xfaec, + (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe5, (q15_t)0xfae0, (q15_t)0x7fe5, (q15_t)0xfad9, (q15_t)0x7fe5, (q15_t)0xfad3, + (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe4, (q15_t)0xfac7, (q15_t)0x7fe4, (q15_t)0xfac0, (q15_t)0x7fe4, (q15_t)0xfaba, + (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe3, (q15_t)0xfaad, (q15_t)0x7fe3, (q15_t)0xfaa7, (q15_t)0x7fe3, (q15_t)0xfaa1, + (q15_t)0x7fe2, (q15_t)0xfa9b, (q15_t)0x7fe2, (q15_t)0xfa94, (q15_t)0x7fe2, (q15_t)0xfa8e, (q15_t)0x7fe2, (q15_t)0xfa88, + (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe1, (q15_t)0xfa7b, (q15_t)0x7fe1, (q15_t)0xfa75, (q15_t)0x7fe0, (q15_t)0xfa6f, + (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fe0, (q15_t)0xfa62, (q15_t)0x7fe0, (q15_t)0xfa5c, (q15_t)0x7fdf, (q15_t)0xfa56, + (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fdf, (q15_t)0xfa49, (q15_t)0x7fdf, (q15_t)0xfa43, (q15_t)0x7fde, (q15_t)0xfa3c, + (q15_t)0x7fde, (q15_t)0xfa36, (q15_t)0x7fde, (q15_t)0xfa30, (q15_t)0x7fdd, (q15_t)0xfa2a, (q15_t)0x7fdd, (q15_t)0xfa23, + (q15_t)0x7fdd, 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(q15_t)0x356, (q15_t)0x800c, (q15_t)0x350, (q15_t)0x800b, (q15_t)0x349, (q15_t)0x800b, (q15_t)0x343, (q15_t)0x800b, + (q15_t)0x33d, (q15_t)0x800b, (q15_t)0x337, (q15_t)0x800b, (q15_t)0x330, (q15_t)0x800b, (q15_t)0x32a, (q15_t)0x800b, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x31d, (q15_t)0x800a, (q15_t)0x317, (q15_t)0x800a, (q15_t)0x311, (q15_t)0x800a, + (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x304, (q15_t)0x800a, (q15_t)0x2fe, (q15_t)0x8009, (q15_t)0x2f8, (q15_t)0x8009, + (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2eb, (q15_t)0x8009, (q15_t)0x2e5, (q15_t)0x8009, (q15_t)0x2df, (q15_t)0x8009, + (q15_t)0x2d8, (q15_t)0x8009, (q15_t)0x2d2, (q15_t)0x8008, (q15_t)0x2cc, (q15_t)0x8008, (q15_t)0x2c5, (q15_t)0x8008, + (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2b9, (q15_t)0x8008, (q15_t)0x2b3, (q15_t)0x8008, (q15_t)0x2ac, (q15_t)0x8008, + (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x2a0, (q15_t)0x8007, (q15_t)0x299, (q15_t)0x8007, (q15_t)0x293, (q15_t)0x8007, + (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x287, (q15_t)0x8007, (q15_t)0x280, (q15_t)0x8007, (q15_t)0x27a, (q15_t)0x8007, + (q15_t)0x274, (q15_t)0x8007, (q15_t)0x26d, (q15_t)0x8006, (q15_t)0x267, (q15_t)0x8006, (q15_t)0x261, (q15_t)0x8006, + (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x254, (q15_t)0x8006, (q15_t)0x24e, (q15_t)0x8006, (q15_t)0x248, (q15_t)0x8006, + (q15_t)0x242, (q15_t)0x8006, (q15_t)0x23b, (q15_t)0x8005, (q15_t)0x235, (q15_t)0x8005, (q15_t)0x22f, (q15_t)0x8005, + (q15_t)0x228, (q15_t)0x8005, (q15_t)0x222, (q15_t)0x8005, (q15_t)0x21c, (q15_t)0x8005, (q15_t)0x216, (q15_t)0x8005, + (q15_t)0x20f, (q15_t)0x8005, (q15_t)0x209, (q15_t)0x8005, (q15_t)0x203, (q15_t)0x8005, (q15_t)0x1fc, (q15_t)0x8004, + (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1f0, (q15_t)0x8004, (q15_t)0x1ea, (q15_t)0x8004, (q15_t)0x1e3, (q15_t)0x8004, + (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1d7, (q15_t)0x8004, (q15_t)0x1d0, (q15_t)0x8004, (q15_t)0x1ca, (q15_t)0x8004, + (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1be, (q15_t)0x8004, (q15_t)0x1b7, (q15_t)0x8003, (q15_t)0x1b1, (q15_t)0x8003, + (q15_t)0x1ab, (q15_t)0x8003, (q15_t)0x1a4, (q15_t)0x8003, (q15_t)0x19e, (q15_t)0x8003, (q15_t)0x198, (q15_t)0x8003, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x18b, (q15_t)0x8003, (q15_t)0x185, (q15_t)0x8003, (q15_t)0x17f, (q15_t)0x8003, + (q15_t)0x178, (q15_t)0x8003, (q15_t)0x172, (q15_t)0x8003, (q15_t)0x16c, (q15_t)0x8003, (q15_t)0x166, (q15_t)0x8002, + (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x159, (q15_t)0x8002, (q15_t)0x153, (q15_t)0x8002, (q15_t)0x14d, (q15_t)0x8002, + (q15_t)0x146, (q15_t)0x8002, (q15_t)0x140, (q15_t)0x8002, (q15_t)0x13a, (q15_t)0x8002, (q15_t)0x133, (q15_t)0x8002, + (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x127, (q15_t)0x8002, (q15_t)0x121, (q15_t)0x8002, (q15_t)0x11a, (q15_t)0x8002, + (q15_t)0x114, (q15_t)0x8002, (q15_t)0x10e, (q15_t)0x8002, (q15_t)0x107, (q15_t)0x8002, (q15_t)0x101, (q15_t)0x8002, + (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xf5, (q15_t)0x8001, (q15_t)0xee, (q15_t)0x8001, (q15_t)0xe8, (q15_t)0x8001, + (q15_t)0xe2, (q15_t)0x8001, (q15_t)0xdb, (q15_t)0x8001, (q15_t)0xd5, (q15_t)0x8001, (q15_t)0xcf, (q15_t)0x8001, + (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xc2, (q15_t)0x8001, (q15_t)0xbc, (q15_t)0x8001, (q15_t)0xb6, (q15_t)0x8001, + (q15_t)0xaf, (q15_t)0x8001, (q15_t)0xa9, (q15_t)0x8001, (q15_t)0xa3, (q15_t)0x8001, (q15_t)0x9d, (q15_t)0x8001, + (q15_t)0x96, (q15_t)0x8001, (q15_t)0x90, (q15_t)0x8001, (q15_t)0x8a, (q15_t)0x8001, (q15_t)0x83, (q15_t)0x8001, + (q15_t)0x7d, (q15_t)0x8001, (q15_t)0x77, (q15_t)0x8001, (q15_t)0x71, (q15_t)0x8001, (q15_t)0x6a, (q15_t)0x8001, + (q15_t)0x64, (q15_t)0x8001, (q15_t)0x5e, (q15_t)0x8001, (q15_t)0x57, (q15_t)0x8001, (q15_t)0x51, (q15_t)0x8001, + (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x45, (q15_t)0x8001, (q15_t)0x3e, (q15_t)0x8001, (q15_t)0x38, (q15_t)0x8001, + (q15_t)0x32, (q15_t)0x8001, (q15_t)0x2b, (q15_t)0x8001, (q15_t)0x25, (q15_t)0x8001, (q15_t)0x1f, (q15_t)0x8001, + (q15_t)0x19, (q15_t)0x8001, (q15_t)0x12, (q15_t)0x8001, (q15_t)0xc, (q15_t)0x8001, (q15_t)0x6, (q15_t)0x8001 +}; + + const q15_t __ALIGNED(4) cos_factorsQ15_8192[8192] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, + (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, + (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, + (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, + (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, + (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, + (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, + (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, + (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, + (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, + (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, + (q15_t)0x7ff6, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, + (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, + (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, + (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff0, (q15_t)0x7ff0, + (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, + (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fed, + (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7feb, + (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fe9, + (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, + (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, + (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, + (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe1, + (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdf, + (q15_t)0x7fdf, (q15_t)0x7fdf, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fdd, (q15_t)0x7fdd, + (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, + (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd8, (q15_t)0x7fd8, + (q15_t)0x7fd8, (q15_t)0x7fd8, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd6, (q15_t)0x7fd6, + (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd3, (q15_t)0x7fd3, + (q15_t)0x7fd3, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd0, + (q15_t)0x7fd0, (q15_t)0x7fd0, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fce, (q15_t)0x7fce, (q15_t)0x7fce, + (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcb, (q15_t)0x7fcb, + (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc8, (q15_t)0x7fc8, + (q15_t)0x7fc8, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc6, (q15_t)0x7fc5, (q15_t)0x7fc5, + (q15_t)0x7fc5, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc3, (q15_t)0x7fc3, (q15_t)0x7fc2, (q15_t)0x7fc2, + (q15_t)0x7fc2, (q15_t)0x7fc1, (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fbf, (q15_t)0x7fbf, + (q15_t)0x7fbf, (q15_t)0x7fbe, (q15_t)0x7fbe, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbc, (q15_t)0x7fbc, + (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fba, (q15_t)0x7fba, (q15_t)0x7fb9, (q15_t)0x7fb9, (q15_t)0x7fb8, + (q15_t)0x7fb8, (q15_t)0x7fb8, (q15_t)0x7fb7, (q15_t)0x7fb7, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb5, + (q15_t)0x7fb5, (q15_t)0x7fb4, (q15_t)0x7fb4, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb2, (q15_t)0x7fb2, + (q15_t)0x7fb1, (q15_t)0x7fb1, (q15_t)0x7fb0, (q15_t)0x7fb0, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7fae, + (q15_t)0x7fae, (q15_t)0x7fad, (q15_t)0x7fad, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fab, (q15_t)0x7fab, + (q15_t)0x7faa, (q15_t)0x7faa, (q15_t)0x7fa9, (q15_t)0x7fa9, (q15_t)0x7fa8, (q15_t)0x7fa8, (q15_t)0x7fa7, (q15_t)0x7fa7, + (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa6, 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(q15_t)0xe50, + (q15_t)0xe4a, (q15_t)0xe44, (q15_t)0xe3e, (q15_t)0xe37, (q15_t)0xe31, (q15_t)0xe2b, (q15_t)0xe25, (q15_t)0xe1e, + (q15_t)0xe18, (q15_t)0xe12, (q15_t)0xe0c, (q15_t)0xe05, (q15_t)0xdff, (q15_t)0xdf9, (q15_t)0xdf3, (q15_t)0xdec, + (q15_t)0xde6, (q15_t)0xde0, (q15_t)0xdda, (q15_t)0xdd3, (q15_t)0xdcd, (q15_t)0xdc7, (q15_t)0xdc1, (q15_t)0xdba, + (q15_t)0xdb4, (q15_t)0xdae, (q15_t)0xda8, (q15_t)0xda1, (q15_t)0xd9b, (q15_t)0xd95, (q15_t)0xd8f, (q15_t)0xd88, + (q15_t)0xd82, (q15_t)0xd7c, (q15_t)0xd76, (q15_t)0xd6f, (q15_t)0xd69, (q15_t)0xd63, (q15_t)0xd5d, (q15_t)0xd56, + (q15_t)0xd50, (q15_t)0xd4a, (q15_t)0xd44, (q15_t)0xd3d, (q15_t)0xd37, (q15_t)0xd31, (q15_t)0xd2b, (q15_t)0xd24, + (q15_t)0xd1e, (q15_t)0xd18, (q15_t)0xd12, (q15_t)0xd0b, (q15_t)0xd05, (q15_t)0xcff, (q15_t)0xcf9, (q15_t)0xcf2, + (q15_t)0xcec, (q15_t)0xce6, (q15_t)0xce0, (q15_t)0xcd9, (q15_t)0xcd3, (q15_t)0xccd, (q15_t)0xcc7, (q15_t)0xcc0, + (q15_t)0xcba, (q15_t)0xcb4, (q15_t)0xcae, (q15_t)0xca7, (q15_t)0xca1, (q15_t)0xc9b, (q15_t)0xc95, (q15_t)0xc8e, + (q15_t)0xc88, (q15_t)0xc82, (q15_t)0xc7c, (q15_t)0xc75, (q15_t)0xc6f, (q15_t)0xc69, (q15_t)0xc63, (q15_t)0xc5c, + (q15_t)0xc56, (q15_t)0xc50, (q15_t)0xc4a, (q15_t)0xc43, (q15_t)0xc3d, (q15_t)0xc37, (q15_t)0xc31, (q15_t)0xc2a, + (q15_t)0xc24, (q15_t)0xc1e, (q15_t)0xc18, (q15_t)0xc11, (q15_t)0xc0b, (q15_t)0xc05, (q15_t)0xbff, (q15_t)0xbf8, + (q15_t)0xbf2, (q15_t)0xbec, (q15_t)0xbe6, (q15_t)0xbdf, (q15_t)0xbd9, (q15_t)0xbd3, (q15_t)0xbcd, (q15_t)0xbc6, + (q15_t)0xbc0, (q15_t)0xbba, (q15_t)0xbb4, (q15_t)0xbad, (q15_t)0xba7, (q15_t)0xba1, (q15_t)0xb9b, (q15_t)0xb94, + (q15_t)0xb8e, (q15_t)0xb88, (q15_t)0xb81, (q15_t)0xb7b, (q15_t)0xb75, (q15_t)0xb6f, (q15_t)0xb68, (q15_t)0xb62, + (q15_t)0xb5c, (q15_t)0xb56, (q15_t)0xb4f, (q15_t)0xb49, (q15_t)0xb43, (q15_t)0xb3d, (q15_t)0xb36, (q15_t)0xb30, + (q15_t)0xb2a, (q15_t)0xb24, (q15_t)0xb1d, (q15_t)0xb17, (q15_t)0xb11, (q15_t)0xb0b, (q15_t)0xb04, (q15_t)0xafe, + (q15_t)0xaf8, (q15_t)0xaf2, (q15_t)0xaeb, (q15_t)0xae5, (q15_t)0xadf, (q15_t)0xad8, (q15_t)0xad2, (q15_t)0xacc, + (q15_t)0xac6, (q15_t)0xabf, (q15_t)0xab9, (q15_t)0xab3, (q15_t)0xaad, (q15_t)0xaa6, (q15_t)0xaa0, (q15_t)0xa9a, + (q15_t)0xa94, (q15_t)0xa8d, (q15_t)0xa87, (q15_t)0xa81, (q15_t)0xa7b, (q15_t)0xa74, (q15_t)0xa6e, (q15_t)0xa68, + (q15_t)0xa62, (q15_t)0xa5b, (q15_t)0xa55, (q15_t)0xa4f, (q15_t)0xa48, (q15_t)0xa42, (q15_t)0xa3c, (q15_t)0xa36, + (q15_t)0xa2f, (q15_t)0xa29, (q15_t)0xa23, (q15_t)0xa1d, (q15_t)0xa16, (q15_t)0xa10, (q15_t)0xa0a, (q15_t)0xa04, + (q15_t)0x9fd, (q15_t)0x9f7, (q15_t)0x9f1, (q15_t)0x9eb, (q15_t)0x9e4, (q15_t)0x9de, (q15_t)0x9d8, (q15_t)0x9d1, + (q15_t)0x9cb, (q15_t)0x9c5, (q15_t)0x9bf, (q15_t)0x9b8, (q15_t)0x9b2, (q15_t)0x9ac, (q15_t)0x9a6, (q15_t)0x99f, + (q15_t)0x999, (q15_t)0x993, (q15_t)0x98d, (q15_t)0x986, (q15_t)0x980, (q15_t)0x97a, (q15_t)0x973, (q15_t)0x96d, + (q15_t)0x967, (q15_t)0x961, (q15_t)0x95a, (q15_t)0x954, (q15_t)0x94e, (q15_t)0x948, (q15_t)0x941, (q15_t)0x93b, + (q15_t)0x935, (q15_t)0x92f, (q15_t)0x928, (q15_t)0x922, (q15_t)0x91c, (q15_t)0x915, (q15_t)0x90f, (q15_t)0x909, + (q15_t)0x903, (q15_t)0x8fc, (q15_t)0x8f6, (q15_t)0x8f0, (q15_t)0x8ea, (q15_t)0x8e3, (q15_t)0x8dd, (q15_t)0x8d7, + (q15_t)0x8d1, (q15_t)0x8ca, (q15_t)0x8c4, (q15_t)0x8be, (q15_t)0x8b7, (q15_t)0x8b1, (q15_t)0x8ab, (q15_t)0x8a5, + (q15_t)0x89e, (q15_t)0x898, (q15_t)0x892, (q15_t)0x88c, (q15_t)0x885, (q15_t)0x87f, (q15_t)0x879, (q15_t)0x872, + (q15_t)0x86c, (q15_t)0x866, (q15_t)0x860, (q15_t)0x859, (q15_t)0x853, (q15_t)0x84d, (q15_t)0x847, (q15_t)0x840, + (q15_t)0x83a, (q15_t)0x834, (q15_t)0x82e, (q15_t)0x827, (q15_t)0x821, (q15_t)0x81b, (q15_t)0x814, (q15_t)0x80e, + (q15_t)0x808, (q15_t)0x802, (q15_t)0x7fb, (q15_t)0x7f5, (q15_t)0x7ef, (q15_t)0x7e9, (q15_t)0x7e2, (q15_t)0x7dc, + (q15_t)0x7d6, (q15_t)0x7cf, (q15_t)0x7c9, (q15_t)0x7c3, (q15_t)0x7bd, (q15_t)0x7b6, (q15_t)0x7b0, (q15_t)0x7aa, + (q15_t)0x7a4, (q15_t)0x79d, (q15_t)0x797, (q15_t)0x791, (q15_t)0x78a, (q15_t)0x784, (q15_t)0x77e, (q15_t)0x778, + (q15_t)0x771, (q15_t)0x76b, (q15_t)0x765, (q15_t)0x75f, (q15_t)0x758, (q15_t)0x752, (q15_t)0x74c, (q15_t)0x745, + (q15_t)0x73f, (q15_t)0x739, (q15_t)0x733, (q15_t)0x72c, (q15_t)0x726, (q15_t)0x720, (q15_t)0x71a, (q15_t)0x713, + (q15_t)0x70d, (q15_t)0x707, (q15_t)0x700, (q15_t)0x6fa, (q15_t)0x6f4, (q15_t)0x6ee, (q15_t)0x6e7, (q15_t)0x6e1, + (q15_t)0x6db, (q15_t)0x6d5, (q15_t)0x6ce, (q15_t)0x6c8, (q15_t)0x6c2, (q15_t)0x6bb, (q15_t)0x6b5, (q15_t)0x6af, + (q15_t)0x6a9, (q15_t)0x6a2, (q15_t)0x69c, (q15_t)0x696, (q15_t)0x690, (q15_t)0x689, (q15_t)0x683, (q15_t)0x67d, + (q15_t)0x676, (q15_t)0x670, (q15_t)0x66a, (q15_t)0x664, (q15_t)0x65d, (q15_t)0x657, (q15_t)0x651, (q15_t)0x64a, + (q15_t)0x644, (q15_t)0x63e, (q15_t)0x638, (q15_t)0x631, (q15_t)0x62b, (q15_t)0x625, (q15_t)0x61f, (q15_t)0x618, + (q15_t)0x612, (q15_t)0x60c, (q15_t)0x605, (q15_t)0x5ff, (q15_t)0x5f9, (q15_t)0x5f3, (q15_t)0x5ec, (q15_t)0x5e6, + (q15_t)0x5e0, (q15_t)0x5da, (q15_t)0x5d3, (q15_t)0x5cd, (q15_t)0x5c7, (q15_t)0x5c0, (q15_t)0x5ba, (q15_t)0x5b4, + (q15_t)0x5ae, (q15_t)0x5a7, (q15_t)0x5a1, (q15_t)0x59b, (q15_t)0x594, (q15_t)0x58e, (q15_t)0x588, (q15_t)0x582, + (q15_t)0x57b, (q15_t)0x575, (q15_t)0x56f, (q15_t)0x569, (q15_t)0x562, (q15_t)0x55c, (q15_t)0x556, (q15_t)0x54f, + (q15_t)0x549, (q15_t)0x543, (q15_t)0x53d, (q15_t)0x536, (q15_t)0x530, (q15_t)0x52a, (q15_t)0x523, (q15_t)0x51d, + (q15_t)0x517, (q15_t)0x511, (q15_t)0x50a, (q15_t)0x504, (q15_t)0x4fe, (q15_t)0x4f8, (q15_t)0x4f1, (q15_t)0x4eb, + (q15_t)0x4e5, (q15_t)0x4de, (q15_t)0x4d8, (q15_t)0x4d2, (q15_t)0x4cc, (q15_t)0x4c5, (q15_t)0x4bf, (q15_t)0x4b9, + (q15_t)0x4b2, (q15_t)0x4ac, (q15_t)0x4a6, (q15_t)0x4a0, (q15_t)0x499, (q15_t)0x493, (q15_t)0x48d, (q15_t)0x487, + (q15_t)0x480, (q15_t)0x47a, (q15_t)0x474, (q15_t)0x46d, (q15_t)0x467, (q15_t)0x461, (q15_t)0x45b, (q15_t)0x454, + (q15_t)0x44e, (q15_t)0x448, (q15_t)0x441, (q15_t)0x43b, (q15_t)0x435, (q15_t)0x42f, (q15_t)0x428, (q15_t)0x422, + (q15_t)0x41c, (q15_t)0x415, (q15_t)0x40f, (q15_t)0x409, (q15_t)0x403, (q15_t)0x3fc, (q15_t)0x3f6, (q15_t)0x3f0, + (q15_t)0x3ea, (q15_t)0x3e3, (q15_t)0x3dd, (q15_t)0x3d7, (q15_t)0x3d0, (q15_t)0x3ca, (q15_t)0x3c4, (q15_t)0x3be, + (q15_t)0x3b7, (q15_t)0x3b1, (q15_t)0x3ab, (q15_t)0x3a4, (q15_t)0x39e, (q15_t)0x398, (q15_t)0x392, (q15_t)0x38b, + (q15_t)0x385, (q15_t)0x37f, (q15_t)0x378, (q15_t)0x372, (q15_t)0x36c, (q15_t)0x366, (q15_t)0x35f, (q15_t)0x359, + (q15_t)0x353, (q15_t)0x34c, (q15_t)0x346, (q15_t)0x340, (q15_t)0x33a, (q15_t)0x333, (q15_t)0x32d, (q15_t)0x327, + (q15_t)0x321, (q15_t)0x31a, (q15_t)0x314, (q15_t)0x30e, (q15_t)0x307, (q15_t)0x301, (q15_t)0x2fb, (q15_t)0x2f5, + (q15_t)0x2ee, (q15_t)0x2e8, (q15_t)0x2e2, (q15_t)0x2db, (q15_t)0x2d5, (q15_t)0x2cf, (q15_t)0x2c9, (q15_t)0x2c2, + (q15_t)0x2bc, (q15_t)0x2b6, (q15_t)0x2af, (q15_t)0x2a9, (q15_t)0x2a3, (q15_t)0x29d, (q15_t)0x296, (q15_t)0x290, + (q15_t)0x28a, (q15_t)0x283, (q15_t)0x27d, (q15_t)0x277, (q15_t)0x271, (q15_t)0x26a, (q15_t)0x264, (q15_t)0x25e, + (q15_t)0x258, (q15_t)0x251, (q15_t)0x24b, (q15_t)0x245, (q15_t)0x23e, (q15_t)0x238, (q15_t)0x232, (q15_t)0x22c, + (q15_t)0x225, (q15_t)0x21f, (q15_t)0x219, (q15_t)0x212, (q15_t)0x20c, (q15_t)0x206, (q15_t)0x200, (q15_t)0x1f9, + (q15_t)0x1f3, (q15_t)0x1ed, (q15_t)0x1e6, (q15_t)0x1e0, (q15_t)0x1da, (q15_t)0x1d4, (q15_t)0x1cd, (q15_t)0x1c7, + (q15_t)0x1c1, (q15_t)0x1ba, (q15_t)0x1b4, (q15_t)0x1ae, (q15_t)0x1a8, (q15_t)0x1a1, (q15_t)0x19b, (q15_t)0x195, + (q15_t)0x18e, (q15_t)0x188, (q15_t)0x182, (q15_t)0x17c, (q15_t)0x175, (q15_t)0x16f, (q15_t)0x169, (q15_t)0x162, + (q15_t)0x15c, (q15_t)0x156, (q15_t)0x150, (q15_t)0x149, (q15_t)0x143, (q15_t)0x13d, (q15_t)0x137, (q15_t)0x130, + (q15_t)0x12a, (q15_t)0x124, (q15_t)0x11d, (q15_t)0x117, (q15_t)0x111, (q15_t)0x10b, (q15_t)0x104, (q15_t)0xfe, + (q15_t)0xf8, (q15_t)0xf1, (q15_t)0xeb, (q15_t)0xe5, (q15_t)0xdf, (q15_t)0xd8, (q15_t)0xd2, (q15_t)0xcc, + (q15_t)0xc5, (q15_t)0xbf, (q15_t)0xb9, (q15_t)0xb3, (q15_t)0xac, (q15_t)0xa6, (q15_t)0xa0, (q15_t)0x99, + (q15_t)0x93, (q15_t)0x8d, (q15_t)0x87, (q15_t)0x80, (q15_t)0x7a, (q15_t)0x74, (q15_t)0x6d, (q15_t)0x67, + (q15_t)0x61, (q15_t)0x5b, (q15_t)0x54, (q15_t)0x4e, (q15_t)0x48, (q15_t)0x41, (q15_t)0x3b, (q15_t)0x35, + (q15_t)0x2f, (q15_t)0x28, (q15_t)0x22, (q15_t)0x1c, (q15_t)0x15, (q15_t)0xf, (q15_t)0x9, (q15_t)0x3 +}; + #endif + +/** + @par + Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
+ @par + C command to generate the table + 
+  for (i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos(i*c);
+    weights[(2*i)+1] = -sin(i*c);
+  }
+ @par + where N is the Number of weights to be calculated and c is pi/(2*N) + @par + Convert the output to q31 format by multiplying with 2^31 and saturated if required. + @par + In the tables below the real and imaginary values are placed alternatively, hence the + array length is 2*N. + */ + +/** + @par + cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+ @par + C command to generate the table + 
+  for (i = 0; i< N; i++)
+  {
+    cos_factors[i] = 2 * cos((2*i+1)*c/2);
+  }
+ @par + where N is the number of factors to generate and c is pi/(2*N) + @par + Then converted to q31 format by multiplying with 2^31 and saturated if required. +*/ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128) + const q31_t WeightsQ31_128[256] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f872bf3, (q31_t)0xf50497fb, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7dd6668f, (q31_t)0xe8922622, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7c894bde, (q31_t)0xe26cb01b, + (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7aef6323, (q31_t)0xdc597781, + (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, + (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x76d94989, (q31_t)0xd078ad9e, + (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, + (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x719e2cd2, (q31_t)0xc50d1149, + (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, + (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6b4af279, (q31_t)0xba32ca71, + (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x67bd0fbd, (q31_t)0xb5049368, + (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x63ef3290, (q31_t)0xb0049ab3, + (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, + (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, + (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x571deefa, (q31_t)0xa2386284, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x5269126e, (q31_t)0x9e0effc1, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4d8162c4, (q31_t)0x9a22042d, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4869e665, (q31_t)0x9673db94, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4325c135, (q31_t)0x9306cb04, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3db832a6, (q31_t)0x8fdcef66, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x382493b0, (q31_t)0x8cf83c30, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2c98fbba, (q31_t)0x88054677, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x26a82186, (q31_t)0x85fa1153, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x209f701c, (q31_t)0x843a1d70, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1a82a026, (q31_t)0x82c67f14, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x145576b1, (q31_t)0x81a01b6d, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, + (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x07d95b9e, (q31_t)0x803daa6a, + (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x01921d20, (q31_t)0x800277a6 +}; + const q31_t cos_factorsQ31_128[128] = { + (q31_t)0x7fff6216, (q31_t)0x7ffa72d1, (q31_t)0x7ff09478, (q31_t)0x7fe1c76b, (q31_t)0x7fce0c3e, (q31_t)0x7fb563b3, + (q31_t)0x7f97cebd, (q31_t)0x7f754e80, + (q31_t)0x7f4de451, (q31_t)0x7f2191b4, (q31_t)0x7ef05860, (q31_t)0x7eba3a39, (q31_t)0x7e7f3957, (q31_t)0x7e3f57ff, + (q31_t)0x7dfa98a8, (q31_t)0x7db0fdf8, + (q31_t)0x7d628ac6, (q31_t)0x7d0f4218, (q31_t)0x7cb72724, (q31_t)0x7c5a3d50, (q31_t)0x7bf88830, (q31_t)0x7b920b89, + (q31_t)0x7b26cb4f, (q31_t)0x7ab6cba4, + (q31_t)0x7a4210d8, (q31_t)0x79c89f6e, (q31_t)0x794a7c12, (q31_t)0x78c7aba2, (q31_t)0x78403329, (q31_t)0x77b417df, + (q31_t)0x77235f2d, (q31_t)0x768e0ea6, + (q31_t)0x75f42c0b, (q31_t)0x7555bd4c, (q31_t)0x74b2c884, (q31_t)0x740b53fb, (q31_t)0x735f6626, (q31_t)0x72af05a7, + (q31_t)0x71fa3949, (q31_t)0x71410805, + (q31_t)0x708378ff, (q31_t)0x6fc19385, (q31_t)0x6efb5f12, (q31_t)0x6e30e34a, (q31_t)0x6d6227fa, (q31_t)0x6c8f351c, + (q31_t)0x6bb812d1, (q31_t)0x6adcc964, + (q31_t)0x69fd614a, (q31_t)0x6919e320, (q31_t)0x683257ab, (q31_t)0x6746c7d8, (q31_t)0x66573cbb, (q31_t)0x6563bf92, + (q31_t)0x646c59bf, (q31_t)0x637114cc, + (q31_t)0x6271fa69, (q31_t)0x616f146c, (q31_t)0x60686ccf, (q31_t)0x5f5e0db3, (q31_t)0x5e50015d, (q31_t)0x5d3e5237, + (q31_t)0x5c290acc, (q31_t)0x5b1035cf, + (q31_t)0x59f3de12, (q31_t)0x58d40e8c, (q31_t)0x57b0d256, (q31_t)0x568a34a9, (q31_t)0x556040e2, (q31_t)0x5433027d, + (q31_t)0x53028518, (q31_t)0x51ced46e, + (q31_t)0x5097fc5e, (q31_t)0x4f5e08e3, (q31_t)0x4e210617, (q31_t)0x4ce10034, (q31_t)0x4b9e0390, (q31_t)0x4a581c9e, + (q31_t)0x490f57ee, (q31_t)0x47c3c22f, + (q31_t)0x46756828, (q31_t)0x452456bd, (q31_t)0x43d09aed, (q31_t)0x427a41d0, (q31_t)0x4121589b, (q31_t)0x3fc5ec98, + (q31_t)0x3e680b2c, (q31_t)0x3d07c1d6, + (q31_t)0x3ba51e29, (q31_t)0x3a402dd2, (q31_t)0x38d8fe93, (q31_t)0x376f9e46, (q31_t)0x36041ad9, (q31_t)0x34968250, + (q31_t)0x3326e2c3, (q31_t)0x31b54a5e, + (q31_t)0x3041c761, (q31_t)0x2ecc681e, (q31_t)0x2d553afc, (q31_t)0x2bdc4e6f, (q31_t)0x2a61b101, (q31_t)0x28e5714b, + (q31_t)0x27679df4, (q31_t)0x25e845b6, + (q31_t)0x24677758, (q31_t)0x22e541af, (q31_t)0x2161b3a0, (q31_t)0x1fdcdc1b, (q31_t)0x1e56ca1e, (q31_t)0x1ccf8cb3, + (q31_t)0x1b4732ef, (q31_t)0x19bdcbf3, + (q31_t)0x183366e9, (q31_t)0x16a81305, (q31_t)0x151bdf86, (q31_t)0x138edbb1, (q31_t)0x120116d5, (q31_t)0x1072a048, + (q31_t)0xee38766, (q31_t)0xd53db92, + (q31_t)0xbc3ac35, (q31_t)0xa3308bd, (q31_t)0x8a2009a, (q31_t)0x710a345, (q31_t)0x57f0035, (q31_t)0x3ed26e6, (q31_t)0x25b26d7, + (q31_t)0xc90f88 +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) + const q31_t WeightsQ31_512[1024] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff871a2, (q31_t)0xfd40565c, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fed5791, (q31_t)0xfbae5e89, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fc85854, (q31_t)0xf88afe42, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f434563, (q31_t)0xf2482c8a, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7ee34636, (q31_t)0xef29b243, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7de8a670, (q31_t)0xe8f50273, + (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5, + (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb, + (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, + (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c71eaf9, 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(q31_t)0x59f3de12, (q31_t)0xa4efca31, (q31_t)0x59ac3cfd, (q31_t)0xa4a94043, + (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x591c550e, (q31_t)0xa41cd599, (q31_t)0x58d40e8c, (q31_t)0xa3d6f534, (q31_t)0x588b9140, (q31_t)0xa3914da8, + (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x57f9f2f8, (q31_t)0xa306a9c8, (q31_t)0x57b0d256, (q31_t)0xa2c1adc9, (q31_t)0x57677b9d, (q31_t)0xa27ceb4f, + (q31_t)0x571deefa, (q31_t)0xa2386284, (q31_t)0x56d42c99, (q31_t)0xa1f41392, (q31_t)0x568a34a9, (q31_t)0xa1affea3, (q31_t)0x56400758, (q31_t)0xa16c23e1, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x55ab0d46, (q31_t)0xa0e51d8c, (q31_t)0x556040e2, (q31_t)0xa0a1f24d, (q31_t)0x55153fd4, (q31_t)0xa05f01e1, + (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x547ea073, (q31_t)0x9fd9d22a, (q31_t)0x5433027d, (q31_t)0x9f979331, (q31_t)0x53e73097, (q31_t)0x9f558fb0, + (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x534ef1b5, (q31_t)0x9ed23bb9, (q31_t)0x53028518, (q31_t)0x9e90eb94, (q31_t)0x52b5e546, (q31_t)0x9e4fd78a, + (q31_t)0x5269126e, (q31_t)0x9e0effc1, (q31_t)0x521c0cc2, (q31_t)0x9dce6463, (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x518169a5, (q31_t)0x9d4de385, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x5049c999, (q31_t)0x9c4fbd93, + (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f0f1126, (q31_t)0x9b556f81, + (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, + (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4c9087b1, (q31_t)0x996c816f, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b4ccf4d, (q31_t)0x987df449, + (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a062fbd, (q31_t)0x979364b5, + (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x48bcb599, (q31_t)0x96acdbbe, + (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47706d93, (q31_t)0x95ca6247, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x4621647d, (q31_t)0x94ec010b, + (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x4578db93, (q31_t)0x947e5c33, (q31_t)0x452456bd, (q31_t)0x9447ed2f, (q31_t)0x44cfa740, (q31_t)0x9411c09e, + (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4425c923, (q31_t)0x93a62f57, (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x437b42e1, (q31_t)0x933ba968, + (q31_t)0x4325c135, (q31_t)0x9306cb04, (q31_t)0x42d0161e, (q31_t)0x92d22fd9, (q31_t)0x427a41d0, (q31_t)0x929dd806, (q31_t)0x42244481, (q31_t)0x9269c3ac, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x40cab958, (q31_t)0x919c1781, + (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4, + (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e10320d, (q31_t)0x900d8b69, + (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b4c18ba, (q31_t)0x8e904298, + (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x39e6975e, (q31_t)0x8dd829e4, + (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x387eda8e, (q31_t)0x8d2477d8, + (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3714f02a, (q31_t)0x8c753362, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35a8e625, (q31_t)0x8bca6343, + (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x34f219a8, (q31_t)0x8b76a8e4, (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x343aca87, (q31_t)0x8b240e11, + (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x32caab6f, (q31_t)0x8a823a36, + (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x3158970e, (q31_t)0x89e4edef, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c, + (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2e6ec792, (q31_t)0x88b80432, + (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2cf72939, (q31_t)0x88287256, + (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a02c7b8, (q31_t)0x8717304e, + (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x288621b9, (q31_t)0x86958aac, + (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2707ebc7, (q31_t)0x86189359, + (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x2588349d, (q31_t)0x85a04f28, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x24070b08, (q31_t)0x852cc2bb, + (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2345eff8, (q31_t)0x84f4c2d4, (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22847de0, (q31_t)0x84bdf286, + (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21009c0c, (q31_t)0x8453e2cf, + (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1df5163f, (q31_t)0x838e1507, + (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1c6d9053, (q31_t)0x83325e97, + (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, + (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x195b49ea, (q31_t)0x8289644b, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16451a83, (q31_t)0x81f3c2d7, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x132b7bf9, (q31_t)0x8171914e, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x119d8941, (q31_t)0x8137c8e6, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, + (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0f475bff, (q31_t)0x80ea4712, (q31_t)0x0ee38766, (q31_t)0x80de6e4c, (q31_t)0x0e7fa99e, (q31_t)0x80d2e3f2, + (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, (q31_t)0x0db7d376, (q31_t)0x80bcba9d, (q31_t)0x0d53db92, (q31_t)0x80b21baf, (q31_t)0x0cefdb76, (q31_t)0x80a7cb49, + (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0c27c389, (q31_t)0x8094162c, (q31_t)0x0bc3ac35, (q31_t)0x808ab180, (q31_t)0x0b5f8d9f, (q31_t)0x80819b74, + (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x0a973ba5, (q31_t)0x80705b50, (q31_t)0x0a3308bd, (q31_t)0x80683143, (q31_t)0x09cecf89, (q31_t)0x806055eb, + (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x09064b3a, (q31_t)0x80518b6b, (q31_t)0x08a2009a, (q31_t)0x804a9c4d, (q31_t)0x083db0a7, (q31_t)0x8043fbf6, + (q31_t)0x07d95b9e, (q31_t)0x803daa6a, (q31_t)0x077501be, (q31_t)0x8037a7ac, (q31_t)0x0710a345, (q31_t)0x8031f3c2, (q31_t)0x06ac406f, (q31_t)0x802c8ead, + (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x05e36ea9, (q31_t)0x8022b114, (q31_t)0x057f0035, (q31_t)0x801e3895, (q31_t)0x051a8e5c, (q31_t)0x801a0ef8, + (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x0451a177, (q31_t)0x8012a86f, (q31_t)0x03ed26e6, (q31_t)0x800f6b88, (q31_t)0x0388a9ea, (q31_t)0x800c7d8c, + (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x02bfa9a4, (q31_t)0x80078e5e, (q31_t)0x025b26d7, (q31_t)0x80058d2f, (q31_t)0x01f6a297, (q31_t)0x8003daf1, + (q31_t)0x01921d20, (q31_t)0x800277a6, (q31_t)0x012d96b1, (q31_t)0x8001634e, (q31_t)0x00c90f88, (q31_t)0x80009dea, (q31_t)0x006487e3, (q31_t)0x8000277a +}; + const q31_t cos_factorsQ31_512[512] = { + (q31_t)0x7ffff621, (q31_t)0x7fffa72c, (q31_t)0x7fff0943, (q31_t)0x7ffe1c65, (q31_t)0x7ffce093, (q31_t)0x7ffb55ce, + (q31_t)0x7ff97c18, (q31_t)0x7ff75370, + (q31_t)0x7ff4dbd9, (q31_t)0x7ff21553, (q31_t)0x7feeffe1, (q31_t)0x7feb9b85, (q31_t)0x7fe7e841, (q31_t)0x7fe3e616, + (q31_t)0x7fdf9508, (q31_t)0x7fdaf519, + (q31_t)0x7fd6064c, (q31_t)0x7fd0c8a3, (q31_t)0x7fcb3c23, (q31_t)0x7fc560cf, (q31_t)0x7fbf36aa, (q31_t)0x7fb8bdb8, + (q31_t)0x7fb1f5fc, (q31_t)0x7faadf7c, + (q31_t)0x7fa37a3c, (q31_t)0x7f9bc640, (q31_t)0x7f93c38c, (q31_t)0x7f8b7227, (q31_t)0x7f82d214, (q31_t)0x7f79e35a, + (q31_t)0x7f70a5fe, (q31_t)0x7f671a05, + (q31_t)0x7f5d3f75, (q31_t)0x7f531655, (q31_t)0x7f489eaa, (q31_t)0x7f3dd87c, (q31_t)0x7f32c3d1, (q31_t)0x7f2760af, + (q31_t)0x7f1baf1e, (q31_t)0x7f0faf25, + (q31_t)0x7f0360cb, (q31_t)0x7ef6c418, (q31_t)0x7ee9d914, (q31_t)0x7edc9fc6, (q31_t)0x7ecf1837, (q31_t)0x7ec14270, + (q31_t)0x7eb31e78, (q31_t)0x7ea4ac58, + (q31_t)0x7e95ec1a, (q31_t)0x7e86ddc6, (q31_t)0x7e778166, (q31_t)0x7e67d703, (q31_t)0x7e57dea7, (q31_t)0x7e47985b, + (q31_t)0x7e37042a, (q31_t)0x7e26221f, + (q31_t)0x7e14f242, (q31_t)0x7e0374a0, (q31_t)0x7df1a942, (q31_t)0x7ddf9034, (q31_t)0x7dcd2981, (q31_t)0x7dba7534, + (q31_t)0x7da77359, (q31_t)0x7d9423fc, + (q31_t)0x7d808728, (q31_t)0x7d6c9ce9, (q31_t)0x7d58654d, (q31_t)0x7d43e05e, (q31_t)0x7d2f0e2b, (q31_t)0x7d19eebf, + (q31_t)0x7d048228, (q31_t)0x7ceec873, + (q31_t)0x7cd8c1ae, (q31_t)0x7cc26de5, (q31_t)0x7cabcd28, (q31_t)0x7c94df83, (q31_t)0x7c7da505, (q31_t)0x7c661dbc, + (q31_t)0x7c4e49b7, (q31_t)0x7c362904, + (q31_t)0x7c1dbbb3, (q31_t)0x7c0501d2, (q31_t)0x7bebfb70, (q31_t)0x7bd2a89e, (q31_t)0x7bb9096b, (q31_t)0x7b9f1de6, + (q31_t)0x7b84e61f, (q31_t)0x7b6a6227, + (q31_t)0x7b4f920e, (q31_t)0x7b3475e5, (q31_t)0x7b190dbc, (q31_t)0x7afd59a4, (q31_t)0x7ae159ae, (q31_t)0x7ac50dec, + (q31_t)0x7aa8766f, (q31_t)0x7a8b9348, + (q31_t)0x7a6e648a, (q31_t)0x7a50ea47, (q31_t)0x7a332490, (q31_t)0x7a151378, (q31_t)0x79f6b711, (q31_t)0x79d80f6f, + (q31_t)0x79b91ca4, (q31_t)0x7999dec4, + (q31_t)0x797a55e0, (q31_t)0x795a820e, (q31_t)0x793a6361, (q31_t)0x7919f9ec, (q31_t)0x78f945c3, (q31_t)0x78d846fb, + (q31_t)0x78b6fda8, (q31_t)0x789569df, + (q31_t)0x78738bb3, (q31_t)0x7851633b, (q31_t)0x782ef08b, (q31_t)0x780c33b8, (q31_t)0x77e92cd9, (q31_t)0x77c5dc01, + (q31_t)0x77a24148, (q31_t)0x777e5cc3, + (q31_t)0x775a2e89, (q31_t)0x7735b6af, (q31_t)0x7710f54c, (q31_t)0x76ebea77, (q31_t)0x76c69647, (q31_t)0x76a0f8d2, + (q31_t)0x767b1231, (q31_t)0x7654e279, + (q31_t)0x762e69c4, (q31_t)0x7607a828, (q31_t)0x75e09dbd, (q31_t)0x75b94a9c, (q31_t)0x7591aedd, (q31_t)0x7569ca99, + (q31_t)0x75419de7, (q31_t)0x751928e0, + (q31_t)0x74f06b9e, (q31_t)0x74c7663a, (q31_t)0x749e18cd, (q31_t)0x74748371, (q31_t)0x744aa63f, (q31_t)0x74208150, + (q31_t)0x73f614c0, (q31_t)0x73cb60a8, + (q31_t)0x73a06522, (q31_t)0x73752249, (q31_t)0x73499838, (q31_t)0x731dc70a, (q31_t)0x72f1aed9, (q31_t)0x72c54fc1, + (q31_t)0x7298a9dd, (q31_t)0x726bbd48, + (q31_t)0x723e8a20, (q31_t)0x7211107e, (q31_t)0x71e35080, (q31_t)0x71b54a41, (q31_t)0x7186fdde, (q31_t)0x71586b74, + (q31_t)0x7129931f, (q31_t)0x70fa74fc, + (q31_t)0x70cb1128, (q31_t)0x709b67c0, (q31_t)0x706b78e3, (q31_t)0x703b44ad, (q31_t)0x700acb3c, (q31_t)0x6fda0cae, + (q31_t)0x6fa90921, (q31_t)0x6f77c0b3, + (q31_t)0x6f463383, (q31_t)0x6f1461b0, (q31_t)0x6ee24b57, (q31_t)0x6eaff099, (q31_t)0x6e7d5193, (q31_t)0x6e4a6e66, + (q31_t)0x6e174730, (q31_t)0x6de3dc11, + (q31_t)0x6db02d29, (q31_t)0x6d7c3a98, (q31_t)0x6d48047e, (q31_t)0x6d138afb, (q31_t)0x6cdece2f, (q31_t)0x6ca9ce3b, + (q31_t)0x6c748b3f, (q31_t)0x6c3f055d, + (q31_t)0x6c093cb6, (q31_t)0x6bd3316a, (q31_t)0x6b9ce39b, (q31_t)0x6b66536b, (q31_t)0x6b2f80fb, (q31_t)0x6af86c6c, + (q31_t)0x6ac115e2, (q31_t)0x6a897d7d, + (q31_t)0x6a51a361, (q31_t)0x6a1987b0, (q31_t)0x69e12a8c, (q31_t)0x69a88c19, (q31_t)0x696fac78, (q31_t)0x69368bce, + (q31_t)0x68fd2a3d, (q31_t)0x68c387e9, + (q31_t)0x6889a4f6, (q31_t)0x684f8186, (q31_t)0x68151dbe, (q31_t)0x67da79c3, (q31_t)0x679f95b7, (q31_t)0x676471c0, + (q31_t)0x67290e02, (q31_t)0x66ed6aa1, + (q31_t)0x66b187c3, (q31_t)0x6675658c, (q31_t)0x66390422, (q31_t)0x65fc63a9, (q31_t)0x65bf8447, (q31_t)0x65826622, + (q31_t)0x6545095f, (q31_t)0x65076e25, + (q31_t)0x64c99498, (q31_t)0x648b7ce0, (q31_t)0x644d2722, (q31_t)0x640e9386, (q31_t)0x63cfc231, (q31_t)0x6390b34a, + (q31_t)0x635166f9, (q31_t)0x6311dd64, + (q31_t)0x62d216b3, (q31_t)0x6292130c, (q31_t)0x6251d298, (q31_t)0x6211557e, (q31_t)0x61d09be5, (q31_t)0x618fa5f7, + (q31_t)0x614e73da, (q31_t)0x610d05b7, + (q31_t)0x60cb5bb7, (q31_t)0x60897601, (q31_t)0x604754bf, (q31_t)0x6004f819, (q31_t)0x5fc26038, (q31_t)0x5f7f8d46, + (q31_t)0x5f3c7f6b, (q31_t)0x5ef936d1, + (q31_t)0x5eb5b3a2, (q31_t)0x5e71f606, (q31_t)0x5e2dfe29, (q31_t)0x5de9cc33, (q31_t)0x5da5604f, (q31_t)0x5d60baa7, + (q31_t)0x5d1bdb65, (q31_t)0x5cd6c2b5, + (q31_t)0x5c9170bf, (q31_t)0x5c4be5b0, (q31_t)0x5c0621b2, (q31_t)0x5bc024f0, (q31_t)0x5b79ef96, (q31_t)0x5b3381ce, + (q31_t)0x5aecdbc5, (q31_t)0x5aa5fda5, + (q31_t)0x5a5ee79a, (q31_t)0x5a1799d1, (q31_t)0x59d01475, (q31_t)0x598857b2, (q31_t)0x594063b5, (q31_t)0x58f838a9, + (q31_t)0x58afd6bd, (q31_t)0x58673e1b, + (q31_t)0x581e6ef1, (q31_t)0x57d5696d, (q31_t)0x578c2dba, (q31_t)0x5742bc06, (q31_t)0x56f9147e, (q31_t)0x56af3750, + (q31_t)0x566524aa, (q31_t)0x561adcb9, + (q31_t)0x55d05faa, (q31_t)0x5585adad, (q31_t)0x553ac6ee, (q31_t)0x54efab9c, (q31_t)0x54a45be6, (q31_t)0x5458d7f9, + (q31_t)0x540d2005, (q31_t)0x53c13439, + (q31_t)0x537514c2, (q31_t)0x5328c1d0, (q31_t)0x52dc3b92, (q31_t)0x528f8238, (q31_t)0x524295f0, (q31_t)0x51f576ea, + (q31_t)0x51a82555, (q31_t)0x515aa162, + (q31_t)0x510ceb40, (q31_t)0x50bf031f, (q31_t)0x5070e92f, (q31_t)0x50229da1, (q31_t)0x4fd420a4, (q31_t)0x4f857269, + (q31_t)0x4f369320, (q31_t)0x4ee782fb, + (q31_t)0x4e984229, (q31_t)0x4e48d0dd, (q31_t)0x4df92f46, (q31_t)0x4da95d96, (q31_t)0x4d595bfe, (q31_t)0x4d092ab0, + (q31_t)0x4cb8c9dd, (q31_t)0x4c6839b7, + (q31_t)0x4c177a6e, (q31_t)0x4bc68c36, (q31_t)0x4b756f40, (q31_t)0x4b2423be, (q31_t)0x4ad2a9e2, (q31_t)0x4a8101de, + (q31_t)0x4a2f2be6, (q31_t)0x49dd282a, + (q31_t)0x498af6df, (q31_t)0x49389836, (q31_t)0x48e60c62, (q31_t)0x48935397, (q31_t)0x48406e08, (q31_t)0x47ed5be6, + (q31_t)0x479a1d67, (q31_t)0x4746b2bc, + (q31_t)0x46f31c1a, (q31_t)0x469f59b4, (q31_t)0x464b6bbe, (q31_t)0x45f7526b, (q31_t)0x45a30df0, (q31_t)0x454e9e80, + (q31_t)0x44fa0450, (q31_t)0x44a53f93, + (q31_t)0x4450507e, (q31_t)0x43fb3746, (q31_t)0x43a5f41e, (q31_t)0x4350873c, (q31_t)0x42faf0d4, (q31_t)0x42a5311b, + (q31_t)0x424f4845, (q31_t)0x41f93689, + (q31_t)0x41a2fc1a, (q31_t)0x414c992f, (q31_t)0x40f60dfb, (q31_t)0x409f5ab6, (q31_t)0x40487f94, (q31_t)0x3ff17cca, + (q31_t)0x3f9a5290, (q31_t)0x3f430119, + (q31_t)0x3eeb889c, (q31_t)0x3e93e950, (q31_t)0x3e3c2369, (q31_t)0x3de4371f, (q31_t)0x3d8c24a8, (q31_t)0x3d33ec39, + (q31_t)0x3cdb8e09, (q31_t)0x3c830a50, + (q31_t)0x3c2a6142, (q31_t)0x3bd19318, (q31_t)0x3b78a007, (q31_t)0x3b1f8848, (q31_t)0x3ac64c0f, (q31_t)0x3a6ceb96, + (q31_t)0x3a136712, (q31_t)0x39b9bebc, + (q31_t)0x395ff2c9, (q31_t)0x39060373, (q31_t)0x38abf0ef, (q31_t)0x3851bb77, (q31_t)0x37f76341, (q31_t)0x379ce885, + (q31_t)0x37424b7b, (q31_t)0x36e78c5b, + (q31_t)0x368cab5c, (q31_t)0x3631a8b8, (q31_t)0x35d684a6, (q31_t)0x357b3f5d, (q31_t)0x351fd918, (q31_t)0x34c4520d, + (q31_t)0x3468aa76, (q31_t)0x340ce28b, + (q31_t)0x33b0fa84, (q31_t)0x3354f29b, (q31_t)0x32f8cb07, (q31_t)0x329c8402, (q31_t)0x32401dc6, (q31_t)0x31e39889, + (q31_t)0x3186f487, (q31_t)0x312a31f8, + (q31_t)0x30cd5115, (q31_t)0x30705217, (q31_t)0x30133539, (q31_t)0x2fb5fab2, (q31_t)0x2f58a2be, (q31_t)0x2efb2d95, + (q31_t)0x2e9d9b70, (q31_t)0x2e3fec8b, + (q31_t)0x2de2211e, (q31_t)0x2d843964, (q31_t)0x2d263596, (q31_t)0x2cc815ee, (q31_t)0x2c69daa6, (q31_t)0x2c0b83fa, + (q31_t)0x2bad1221, (q31_t)0x2b4e8558, + (q31_t)0x2aefddd8, (q31_t)0x2a911bdc, (q31_t)0x2a323f9e, (q31_t)0x29d34958, (q31_t)0x29743946, (q31_t)0x29150fa1, + (q31_t)0x28b5cca5, (q31_t)0x2856708d, + (q31_t)0x27f6fb92, (q31_t)0x27976df1, (q31_t)0x2737c7e3, (q31_t)0x26d809a5, (q31_t)0x26783370, (q31_t)0x26184581, + (q31_t)0x25b84012, (q31_t)0x2558235f, + (q31_t)0x24f7efa2, (q31_t)0x2497a517, (q31_t)0x243743fa, (q31_t)0x23d6cc87, (q31_t)0x23763ef7, (q31_t)0x23159b88, + (q31_t)0x22b4e274, (q31_t)0x225413f8, + (q31_t)0x21f3304f, (q31_t)0x219237b5, (q31_t)0x21312a65, (q31_t)0x20d0089c, (q31_t)0x206ed295, (q31_t)0x200d888d, + (q31_t)0x1fac2abf, (q31_t)0x1f4ab968, + (q31_t)0x1ee934c3, (q31_t)0x1e879d0d, (q31_t)0x1e25f282, (q31_t)0x1dc4355e, (q31_t)0x1d6265dd, (q31_t)0x1d00843d, + (q31_t)0x1c9e90b8, (q31_t)0x1c3c8b8c, + (q31_t)0x1bda74f6, (q31_t)0x1b784d30, (q31_t)0x1b161479, (q31_t)0x1ab3cb0d, (q31_t)0x1a517128, (q31_t)0x19ef0707, + (q31_t)0x198c8ce7, (q31_t)0x192a0304, + (q31_t)0x18c7699b, (q31_t)0x1864c0ea, (q31_t)0x1802092c, (q31_t)0x179f429f, (q31_t)0x173c6d80, (q31_t)0x16d98a0c, + (q31_t)0x1676987f, (q31_t)0x16139918, + (q31_t)0x15b08c12, (q31_t)0x154d71aa, (q31_t)0x14ea4a1f, (q31_t)0x148715ae, (q31_t)0x1423d492, (q31_t)0x13c0870a, + (q31_t)0x135d2d53, (q31_t)0x12f9c7aa, + (q31_t)0x1296564d, (q31_t)0x1232d979, (q31_t)0x11cf516a, (q31_t)0x116bbe60, (q31_t)0x11082096, (q31_t)0x10a4784b, + (q31_t)0x1040c5bb, (q31_t)0xfdd0926, + (q31_t)0xf7942c7, (q31_t)0xf1572dc, (q31_t)0xeb199a4, (q31_t)0xe4db75b, (q31_t)0xde9cc40, (q31_t)0xd85d88f, (q31_t)0xd21dc87, + (q31_t)0xcbdd865, + (q31_t)0xc59cc68, (q31_t)0xbf5b8cb, (q31_t)0xb919dcf, (q31_t)0xb2d7baf, (q31_t)0xac952aa, (q31_t)0xa6522fe, (q31_t)0xa00ece8, + (q31_t)0x99cb0a7, + (q31_t)0x9386e78, (q31_t)0x8d42699, (q31_t)0x86fd947, (q31_t)0x80b86c2, (q31_t)0x7a72f45, (q31_t)0x742d311, (q31_t)0x6de7262, + (q31_t)0x67a0d76, + (q31_t)0x615a48b, (q31_t)0x5b137df, (q31_t)0x54cc7b1, (q31_t)0x4e8543e, (q31_t)0x483ddc3, (q31_t)0x41f6480, (q31_t)0x3bae8b2, + (q31_t)0x3566a96, + (q31_t)0x2f1ea6c, (q31_t)0x28d6870, (q31_t)0x228e4e2, (q31_t)0x1c45ffe, (q31_t)0x15fda03, (q31_t)0xfb5330, (q31_t)0x96cbc1, + (q31_t)0x3243f5 +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) + const q31_t WeightsQ31_2048[4096] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, + (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff8719, (q31_t)0xff501258, + (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, + (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffc8549, (q31_t)0xfe227eac, + (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, + (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, + (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4319d, (q31_t)0xfc9075af, + (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, + (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0, + (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feab61a, (q31_t)0xfb630459, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b, + (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3, + (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fde7471, (q31_t)0xfa35ac9f, + (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed, + (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fcf6ce8, (q31_t)0xf908750a, + (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574, + (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc3dda9, (q31_t)0xf83fba68, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423, + (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5, + (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb037bf, (q31_t)0xf712c6ea, + (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8, + (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc, + (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f91b694, (q31_t)0xf581d07b, + (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f895182, (q31_t)0xf51da273, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f809dc5, (q31_t)0xf4b97b21, + (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f779b62, (q31_t)0xf4555ac5, + (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f72fcb4, (q31_t)0xf4234d45, (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a, + (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5abc8a, (q31_t)0xf32925d3, + (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f507fc7, (q31_t)0xf2c523b2, + (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f45f47b, (q31_t)0xf26129ba, + (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f2ff263, (q31_t)0xf1994f3d, + (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f247ba5, (q31_t)0xf1356f32, + (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f18b679, (q31_t)0xf0d19848, + (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f0040f6, (q31_t)0xf00a06c8, + (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef390ae, (q31_t)0xefa64cae, + (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee69217, (q31_t)0xef429caa, + (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7ed94538, (q31_t)0xeedef6f9, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9, + (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88, + (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eaf8943, (q31_t)0xedb44642, + (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea1039b, (q31_t)0xed50cc46, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e922fd6, (q31_t)0xeced5dd0, + (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e830dff, (q31_t)0xec89fb1e, + (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e739e1d, (q31_t)0xec26a46d, + (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e63e03b, (q31_t)0xebc359fb, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e53d462, (q31_t)0xeb601c04, + (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e4bb13c, (q31_t)0xeb2e81ca, (q31_t)0x7e47985b, (q31_t)0xeb15b5e1, (q31_t)0x7e437a9c, (q31_t)0xeafceac6, + (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e3b3083, (q31_t)0xeacb56ff, (q31_t)0x7e37042a, (q31_t)0xeab28e56, (q31_t)0x7e32d2f4, (q31_t)0xea99c67e, + (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, (q31_t)0x7e2a61ed, (q31_t)0xea683949, (q31_t)0x7e26221f, (q31_t)0xea4f73ee, (q31_t)0x7e21dd73, (q31_t)0xea36af69, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e194584, (q31_t)0xea0528e5, (q31_t)0x7e14f242, (q31_t)0xe9ec66e8, (q31_t)0x7e109a24, (q31_t)0xe9d3a5c5, + (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7e07db52, (q31_t)0xe9a22610, (q31_t)0x7e0374a0, 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(q31_t)0x17e958ea, (q31_t)0x8240d673, + (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x17868eb3, (q31_t)0x822e358b, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x1723b5f9, (q31_t)0x821be240, + (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, + (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x165dd9f0, (q31_t)0x81f824ae, + (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x1597c6b7, (q31_t)0x81d59e13, + (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x1534a901, (q31_t)0x81c4cf7d, + (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14d17e36, (q31_t)0x81b44ec4, + (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x146e4694, (q31_t)0x81a41bf4, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x140b0258, (q31_t)0x81943715, + (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13a7b1bf, (q31_t)0x8184a032, + (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x13445505, (q31_t)0x81755754, + (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12e0ec6a, (q31_t)0x81665c84, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x127d7829, (q31_t)0x8157afcd, + (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x1219f880, (q31_t)0x81495136, + (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11b66dad, (q31_t)0x813b40ca, + (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x10ef377d, (q31_t)0x81200a90, + (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, + (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x1027d784, (q31_t)0x81060d63, + (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfc41876, (q31_t)0x80f98446, + (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf604faf, (q31_t)0x80ed4984, + (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xefc7d6b, (q31_t)0x80e15d24, + (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, + (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, + (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, + (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, + (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd08dc3f, (q31_t)0x80aa5806, + (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xca4d620, (q31_t)0x80a04289, + (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc40c835, (q31_t)0x80967b9f, + (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbdcb2bb, (q31_t)0x808d034c, + (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb7895f0, (q31_t)0x8083d998, + (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb147211, (q31_t)0x807afe87, + (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xab0475c, (q31_t)0x8072721f, + (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa4c1610, (q31_t)0x806a3466, + (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9e7de6a, (q31_t)0x80624560, + (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x983a0a7, (q31_t)0x805aa512, + (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x91f5d06, (q31_t)0x80535381, + (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8bb13c5, (q31_t)0x804c50b2, + (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x856c520, (q31_t)0x80459ca9, + (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x7f27157, (q31_t)0x803f376a, + (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x78e18a7, (q31_t)0x803920f8, + (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x729bb4e, (q31_t)0x80335959, + (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6c5598a, (q31_t)0x802de08e, + (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x660f398, (q31_t)0x8028b69c, + (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x5fc89b8, (q31_t)0x8023db86, + (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5981c26, (q31_t)0x801f4f4f, + (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x533ab20, (q31_t)0x801b11fa, + (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4cf36e5, (q31_t)0x80172388, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x46abfb3, (q31_t)0x801383fe, + (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x40645c7, (q31_t)0x8010335c, + (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3a1c960, (q31_t)0x800d31a5, + (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x33d4abb, (q31_t)0x800a7edb, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2d8ca16, (q31_t)0x80081b00, + (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x27447b0, (q31_t)0x80060614, + (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x20fc3c6, (q31_t)0x8004401a, + (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1ab3e97, (q31_t)0x8002c912, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x146b860, (q31_t)0x8001a0fd, + (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0xe23160, (q31_t)0x8000c7dc, + (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x7da9d4, (q31_t)0x80003daf, + (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x1921fb, (q31_t)0x80000278 +}; + const q31_t cos_factorsQ31_2048[2048] = { + (q31_t)0x7fffff62, (q31_t)0x7ffffa73, (q31_t)0x7ffff094, (q31_t)0x7fffe1c6, (q31_t)0x7fffce09, (q31_t)0x7fffb55c, + (q31_t)0x7fff97c1, (q31_t)0x7fff7536, + (q31_t)0x7fff4dbb, (q31_t)0x7fff2151, (q31_t)0x7ffeeff8, (q31_t)0x7ffeb9b0, (q31_t)0x7ffe7e79, (q31_t)0x7ffe3e52, + (q31_t)0x7ffdf93c, (q31_t)0x7ffdaf37, + (q31_t)0x7ffd6042, (q31_t)0x7ffd0c5f, (q31_t)0x7ffcb38c, (q31_t)0x7ffc55ca, (q31_t)0x7ffbf319, (q31_t)0x7ffb8b78, + (q31_t)0x7ffb1ee9, (q31_t)0x7ffaad6a, + (q31_t)0x7ffa36fc, (q31_t)0x7ff9bba0, (q31_t)0x7ff93b54, (q31_t)0x7ff8b619, (q31_t)0x7ff82bef, (q31_t)0x7ff79cd6, + (q31_t)0x7ff708ce, (q31_t)0x7ff66fd7, + (q31_t)0x7ff5d1f1, (q31_t)0x7ff52f1d, (q31_t)0x7ff48759, (q31_t)0x7ff3daa6, (q31_t)0x7ff32905, (q31_t)0x7ff27275, + (q31_t)0x7ff1b6f6, (q31_t)0x7ff0f688, + (q31_t)0x7ff0312c, (q31_t)0x7fef66e1, (q31_t)0x7fee97a7, (q31_t)0x7fedc37e, (q31_t)0x7fecea67, (q31_t)0x7fec0c62, + (q31_t)0x7feb296d, (q31_t)0x7fea418b, + (q31_t)0x7fe954ba, (q31_t)0x7fe862fa, (q31_t)0x7fe76c4c, (q31_t)0x7fe670b0, (q31_t)0x7fe57025, (q31_t)0x7fe46aac, + (q31_t)0x7fe36045, (q31_t)0x7fe250ef, + (q31_t)0x7fe13cac, (q31_t)0x7fe0237a, (q31_t)0x7fdf055a, (q31_t)0x7fdde24d, (q31_t)0x7fdcba51, (q31_t)0x7fdb8d67, + (q31_t)0x7fda5b8f, (q31_t)0x7fd924ca, + (q31_t)0x7fd7e917, (q31_t)0x7fd6a875, (q31_t)0x7fd562e7, (q31_t)0x7fd4186a, (q31_t)0x7fd2c900, (q31_t)0x7fd174a8, + (q31_t)0x7fd01b63, (q31_t)0x7fcebd31, + (q31_t)0x7fcd5a11, (q31_t)0x7fcbf203, (q31_t)0x7fca8508, (q31_t)0x7fc91320, (q31_t)0x7fc79c4b, (q31_t)0x7fc62089, + (q31_t)0x7fc49fda, (q31_t)0x7fc31a3d, + (q31_t)0x7fc18fb4, (q31_t)0x7fc0003e, (q31_t)0x7fbe6bdb, (q31_t)0x7fbcd28b, (q31_t)0x7fbb344e, (q31_t)0x7fb99125, + (q31_t)0x7fb7e90f, (q31_t)0x7fb63c0d, + (q31_t)0x7fb48a1e, (q31_t)0x7fb2d343, (q31_t)0x7fb1177b, (q31_t)0x7faf56c7, (q31_t)0x7fad9127, (q31_t)0x7fabc69b, + (q31_t)0x7fa9f723, (q31_t)0x7fa822bf, + (q31_t)0x7fa6496e, (q31_t)0x7fa46b32, (q31_t)0x7fa2880b, (q31_t)0x7fa09ff7, (q31_t)0x7f9eb2f8, (q31_t)0x7f9cc10d, + (q31_t)0x7f9aca37, (q31_t)0x7f98ce76, + (q31_t)0x7f96cdc9, (q31_t)0x7f94c831, (q31_t)0x7f92bdad, (q31_t)0x7f90ae3f, (q31_t)0x7f8e99e6, (q31_t)0x7f8c80a1, + (q31_t)0x7f8a6272, (q31_t)0x7f883f58, + (q31_t)0x7f861753, (q31_t)0x7f83ea64, (q31_t)0x7f81b88a, (q31_t)0x7f7f81c6, (q31_t)0x7f7d4617, (q31_t)0x7f7b057e, + (q31_t)0x7f78bffb, (q31_t)0x7f76758e, + (q31_t)0x7f742637, (q31_t)0x7f71d1f6, (q31_t)0x7f6f78cb, (q31_t)0x7f6d1ab6, (q31_t)0x7f6ab7b8, (q31_t)0x7f684fd0, + (q31_t)0x7f65e2ff, (q31_t)0x7f637144, + (q31_t)0x7f60faa0, (q31_t)0x7f5e7f13, (q31_t)0x7f5bfe9d, (q31_t)0x7f59793e, (q31_t)0x7f56eef5, (q31_t)0x7f545fc5, + (q31_t)0x7f51cbab, (q31_t)0x7f4f32a9, + (q31_t)0x7f4c94be, (q31_t)0x7f49f1eb, (q31_t)0x7f474a30, (q31_t)0x7f449d8c, (q31_t)0x7f41ec01, (q31_t)0x7f3f358d, + (q31_t)0x7f3c7a31, (q31_t)0x7f39b9ee, + (q31_t)0x7f36f4c3, (q31_t)0x7f342ab1, (q31_t)0x7f315bb7, (q31_t)0x7f2e87d6, (q31_t)0x7f2baf0d, (q31_t)0x7f28d15d, + (q31_t)0x7f25eec7, (q31_t)0x7f230749, + (q31_t)0x7f201ae5, (q31_t)0x7f1d299a, (q31_t)0x7f1a3368, (q31_t)0x7f173850, (q31_t)0x7f143852, (q31_t)0x7f11336d, + (q31_t)0x7f0e29a3, (q31_t)0x7f0b1af2, + (q31_t)0x7f08075c, (q31_t)0x7f04eedf, (q31_t)0x7f01d17d, (q31_t)0x7efeaf36, (q31_t)0x7efb8809, (q31_t)0x7ef85bf7, + (q31_t)0x7ef52b00, (q31_t)0x7ef1f524, + (q31_t)0x7eeeba62, (q31_t)0x7eeb7abc, (q31_t)0x7ee83632, (q31_t)0x7ee4ecc3, (q31_t)0x7ee19e6f, (q31_t)0x7ede4b38, + (q31_t)0x7edaf31c, (q31_t)0x7ed7961c, + (q31_t)0x7ed43438, (q31_t)0x7ed0cd70, (q31_t)0x7ecd61c5, (q31_t)0x7ec9f137, (q31_t)0x7ec67bc5, (q31_t)0x7ec3016f, + (q31_t)0x7ebf8237, (q31_t)0x7ebbfe1c, + (q31_t)0x7eb8751e, (q31_t)0x7eb4e73d, (q31_t)0x7eb1547a, (q31_t)0x7eadbcd4, (q31_t)0x7eaa204c, (q31_t)0x7ea67ee2, + (q31_t)0x7ea2d896, (q31_t)0x7e9f2d68, + (q31_t)0x7e9b7d58, (q31_t)0x7e97c867, (q31_t)0x7e940e94, (q31_t)0x7e904fe0, (q31_t)0x7e8c8c4b, (q31_t)0x7e88c3d5, + (q31_t)0x7e84f67e, (q31_t)0x7e812447, + (q31_t)0x7e7d4d2f, (q31_t)0x7e797136, (q31_t)0x7e75905d, (q31_t)0x7e71aaa4, (q31_t)0x7e6dc00c, (q31_t)0x7e69d093, + (q31_t)0x7e65dc3b, (q31_t)0x7e61e303, + (q31_t)0x7e5de4ec, (q31_t)0x7e59e1f5, (q31_t)0x7e55da20, (q31_t)0x7e51cd6c, (q31_t)0x7e4dbbd9, (q31_t)0x7e49a567, + (q31_t)0x7e458a17, (q31_t)0x7e4169e9, + (q31_t)0x7e3d44dd, (q31_t)0x7e391af3, (q31_t)0x7e34ec2b, (q31_t)0x7e30b885, (q31_t)0x7e2c8002, (q31_t)0x7e2842a2, + (q31_t)0x7e240064, (q31_t)0x7e1fb94a, + (q31_t)0x7e1b6d53, (q31_t)0x7e171c7f, (q31_t)0x7e12c6ce, (q31_t)0x7e0e6c42, (q31_t)0x7e0a0cd9, (q31_t)0x7e05a894, + (q31_t)0x7e013f74, (q31_t)0x7dfcd178, + (q31_t)0x7df85ea0, (q31_t)0x7df3e6ee, (q31_t)0x7def6a60, (q31_t)0x7deae8f7, (q31_t)0x7de662b3, (q31_t)0x7de1d795, + (q31_t)0x7ddd479d, (q31_t)0x7dd8b2ca, + (q31_t)0x7dd4191d, (q31_t)0x7dcf7a96, (q31_t)0x7dcad736, (q31_t)0x7dc62efc, (q31_t)0x7dc181e8, (q31_t)0x7dbccffc, + (q31_t)0x7db81936, (q31_t)0x7db35d98, + (q31_t)0x7dae9d21, (q31_t)0x7da9d7d2, (q31_t)0x7da50dab, (q31_t)0x7da03eab, (q31_t)0x7d9b6ad3, (q31_t)0x7d969224, + (q31_t)0x7d91b49e, (q31_t)0x7d8cd240, + (q31_t)0x7d87eb0a, (q31_t)0x7d82fefe, (q31_t)0x7d7e0e1c, (q31_t)0x7d791862, (q31_t)0x7d741dd2, (q31_t)0x7d6f1e6c, + (q31_t)0x7d6a1a31, (q31_t)0x7d65111f, + (q31_t)0x7d600338, (q31_t)0x7d5af07b, (q31_t)0x7d55d8e9, (q31_t)0x7d50bc82, (q31_t)0x7d4b9b46, (q31_t)0x7d467536, + (q31_t)0x7d414a51, (q31_t)0x7d3c1a98, + (q31_t)0x7d36e60b, (q31_t)0x7d31acaa, (q31_t)0x7d2c6e76, (q31_t)0x7d272b6e, (q31_t)0x7d21e393, (q31_t)0x7d1c96e5, + (q31_t)0x7d174564, (q31_t)0x7d11ef11, + (q31_t)0x7d0c93eb, (q31_t)0x7d0733f3, (q31_t)0x7d01cf29, (q31_t)0x7cfc658d, (q31_t)0x7cf6f720, (q31_t)0x7cf183e1, + (q31_t)0x7cec0bd1, (q31_t)0x7ce68ef0, + (q31_t)0x7ce10d3f, (q31_t)0x7cdb86bd, (q31_t)0x7cd5fb6a, (q31_t)0x7cd06b48, (q31_t)0x7ccad656, (q31_t)0x7cc53c94, + (q31_t)0x7cbf9e03, (q31_t)0x7cb9faa2, + (q31_t)0x7cb45272, (q31_t)0x7caea574, (q31_t)0x7ca8f3a7, (q31_t)0x7ca33d0c, (q31_t)0x7c9d81a3, (q31_t)0x7c97c16b, + (q31_t)0x7c91fc66, (q31_t)0x7c8c3294, + (q31_t)0x7c8663f4, (q31_t)0x7c809088, (q31_t)0x7c7ab84e, (q31_t)0x7c74db48, (q31_t)0x7c6ef976, (q31_t)0x7c6912d7, + (q31_t)0x7c63276d, (q31_t)0x7c5d3737, + (q31_t)0x7c574236, (q31_t)0x7c514869, (q31_t)0x7c4b49d2, (q31_t)0x7c45466f, (q31_t)0x7c3f3e42, (q31_t)0x7c39314b, + (q31_t)0x7c331f8a, (q31_t)0x7c2d08ff, + (q31_t)0x7c26edab, (q31_t)0x7c20cd8d, (q31_t)0x7c1aa8a6, (q31_t)0x7c147ef6, (q31_t)0x7c0e507e, (q31_t)0x7c081d3d, + (q31_t)0x7c01e534, (q31_t)0x7bfba863, + (q31_t)0x7bf566cb, (q31_t)0x7bef206b, (q31_t)0x7be8d544, (q31_t)0x7be28556, (q31_t)0x7bdc30a1, (q31_t)0x7bd5d726, + (q31_t)0x7bcf78e5, (q31_t)0x7bc915dd, + (q31_t)0x7bc2ae10, (q31_t)0x7bbc417e, (q31_t)0x7bb5d026, (q31_t)0x7baf5a09, (q31_t)0x7ba8df28, (q31_t)0x7ba25f82, + (q31_t)0x7b9bdb18, (q31_t)0x7b9551ea, + (q31_t)0x7b8ec3f8, (q31_t)0x7b883143, (q31_t)0x7b8199ca, (q31_t)0x7b7afd8f, (q31_t)0x7b745c91, (q31_t)0x7b6db6d0, + (q31_t)0x7b670c4d, (q31_t)0x7b605d09, + (q31_t)0x7b59a902, (q31_t)0x7b52f03a, (q31_t)0x7b4c32b1, (q31_t)0x7b457068, (q31_t)0x7b3ea95d, (q31_t)0x7b37dd92, + (q31_t)0x7b310d07, (q31_t)0x7b2a37bc, + (q31_t)0x7b235db2, (q31_t)0x7b1c7ee8, (q31_t)0x7b159b5f, (q31_t)0x7b0eb318, (q31_t)0x7b07c612, (q31_t)0x7b00d44d, + (q31_t)0x7af9ddcb, (q31_t)0x7af2e28b, + (q31_t)0x7aebe28d, (q31_t)0x7ae4ddd2, (q31_t)0x7addd45b, (q31_t)0x7ad6c626, (q31_t)0x7acfb336, (q31_t)0x7ac89b89, + (q31_t)0x7ac17f20, (q31_t)0x7aba5dfc, + (q31_t)0x7ab3381d, (q31_t)0x7aac0d82, (q31_t)0x7aa4de2d, (q31_t)0x7a9daa1d, (q31_t)0x7a967153, (q31_t)0x7a8f33d0, + (q31_t)0x7a87f192, (q31_t)0x7a80aa9c, + (q31_t)0x7a795eec, (q31_t)0x7a720e84, (q31_t)0x7a6ab963, (q31_t)0x7a635f8a, (q31_t)0x7a5c00f9, (q31_t)0x7a549db0, + (q31_t)0x7a4d35b0, (q31_t)0x7a45c8f9, + (q31_t)0x7a3e578b, (q31_t)0x7a36e166, (q31_t)0x7a2f668c, (q31_t)0x7a27e6fb, (q31_t)0x7a2062b5, (q31_t)0x7a18d9b9, + (q31_t)0x7a114c09, (q31_t)0x7a09b9a4, + (q31_t)0x7a02228a, (q31_t)0x79fa86bc, (q31_t)0x79f2e63a, (q31_t)0x79eb4105, (q31_t)0x79e3971c, (q31_t)0x79dbe880, + (q31_t)0x79d43532, (q31_t)0x79cc7d31, + (q31_t)0x79c4c07e, (q31_t)0x79bcff19, (q31_t)0x79b53903, (q31_t)0x79ad6e3c, (q31_t)0x79a59ec3, (q31_t)0x799dca9a, + (q31_t)0x7995f1c1, (q31_t)0x798e1438, + (q31_t)0x798631ff, (q31_t)0x797e4b16, (q31_t)0x79765f7f, (q31_t)0x796e6f39, (q31_t)0x79667a44, (q31_t)0x795e80a1, + (q31_t)0x79568250, (q31_t)0x794e7f52, + (q31_t)0x794677a6, (q31_t)0x793e6b4e, (q31_t)0x79365a49, (q31_t)0x792e4497, (q31_t)0x79262a3a, (q31_t)0x791e0b31, + (q31_t)0x7915e77c, (q31_t)0x790dbf1d, + (q31_t)0x79059212, (q31_t)0x78fd605d, (q31_t)0x78f529fe, (q31_t)0x78eceef6, (q31_t)0x78e4af44, (q31_t)0x78dc6ae8, + (q31_t)0x78d421e4, (q31_t)0x78cbd437, + (q31_t)0x78c381e2, (q31_t)0x78bb2ae5, (q31_t)0x78b2cf41, (q31_t)0x78aa6ef5, (q31_t)0x78a20a03, (q31_t)0x7899a06a, + (q31_t)0x7891322a, (q31_t)0x7888bf45, + (q31_t)0x788047ba, (q31_t)0x7877cb89, (q31_t)0x786f4ab4, (q31_t)0x7866c53a, (q31_t)0x785e3b1c, (q31_t)0x7855ac5a, + (q31_t)0x784d18f4, (q31_t)0x784480ea, + (q31_t)0x783be43e, (q31_t)0x783342ef, (q31_t)0x782a9cfe, (q31_t)0x7821f26b, (q31_t)0x78194336, (q31_t)0x78108f60, + (q31_t)0x7807d6e9, (q31_t)0x77ff19d1, + (q31_t)0x77f65819, (q31_t)0x77ed91c0, (q31_t)0x77e4c6c9, (q31_t)0x77dbf732, (q31_t)0x77d322fc, (q31_t)0x77ca4a27, + (q31_t)0x77c16cb4, (q31_t)0x77b88aa3, + (q31_t)0x77afa3f5, (q31_t)0x77a6b8a9, (q31_t)0x779dc8c0, (q31_t)0x7794d43b, (q31_t)0x778bdb19, (q31_t)0x7782dd5c, + (q31_t)0x7779db03, (q31_t)0x7770d40f, + (q31_t)0x7767c880, (q31_t)0x775eb857, (q31_t)0x7755a394, (q31_t)0x774c8a36, (q31_t)0x77436c40, (q31_t)0x773a49b0, + (q31_t)0x77312287, (q31_t)0x7727f6c6, + (q31_t)0x771ec66e, (q31_t)0x7715917d, (q31_t)0x770c57f5, (q31_t)0x770319d6, (q31_t)0x76f9d721, (q31_t)0x76f08fd5, + (q31_t)0x76e743f4, (q31_t)0x76ddf37c, + (q31_t)0x76d49e70, (q31_t)0x76cb44cf, (q31_t)0x76c1e699, (q31_t)0x76b883d0, (q31_t)0x76af1c72, (q31_t)0x76a5b082, + (q31_t)0x769c3ffe, (q31_t)0x7692cae8, + (q31_t)0x7689513f, (q31_t)0x767fd304, (q31_t)0x76765038, (q31_t)0x766cc8db, (q31_t)0x76633ced, (q31_t)0x7659ac6f, + (q31_t)0x76501760, (q31_t)0x76467dc2, + (q31_t)0x763cdf94, (q31_t)0x76333cd8, (q31_t)0x7629958c, (q31_t)0x761fe9b3, (q31_t)0x7616394c, (q31_t)0x760c8457, + (q31_t)0x7602cad5, (q31_t)0x75f90cc7, + (q31_t)0x75ef4a2c, (q31_t)0x75e58305, (q31_t)0x75dbb753, (q31_t)0x75d1e715, (q31_t)0x75c8124d, (q31_t)0x75be38fa, + (q31_t)0x75b45b1d, (q31_t)0x75aa78b6, + (q31_t)0x75a091c6, (q31_t)0x7596a64d, (q31_t)0x758cb64c, (q31_t)0x7582c1c2, (q31_t)0x7578c8b0, (q31_t)0x756ecb18, + (q31_t)0x7564c8f8, (q31_t)0x755ac251, + (q31_t)0x7550b725, (q31_t)0x7546a772, (q31_t)0x753c933a, (q31_t)0x75327a7d, (q31_t)0x75285d3b, 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(q31_t)0x169bb4b7, (q31_t)0x1682f774, (q31_t)0x166a3953, (q31_t)0x16517a55, (q31_t)0x1638ba7a, (q31_t)0x161ff9c4, + (q31_t)0x16073834, (q31_t)0x15ee75cb, + (q31_t)0x15d5b288, (q31_t)0x15bcee6f, (q31_t)0x15a4297f, (q31_t)0x158b63b9, (q31_t)0x15729d1f, (q31_t)0x1559d5b1, + (q31_t)0x15410d70, (q31_t)0x1528445d, + (q31_t)0x150f7a7a, (q31_t)0x14f6afc7, (q31_t)0x14dde445, (q31_t)0x14c517f4, (q31_t)0x14ac4ad7, (q31_t)0x14937cee, + (q31_t)0x147aae3a, (q31_t)0x1461debc, + (q31_t)0x14490e74, (q31_t)0x14303d65, (q31_t)0x14176b8e, (q31_t)0x13fe98f1, (q31_t)0x13e5c58e, (q31_t)0x13ccf167, + (q31_t)0x13b41c7d, (q31_t)0x139b46d0, + (q31_t)0x13827062, (q31_t)0x13699933, (q31_t)0x1350c144, (q31_t)0x1337e897, (q31_t)0x131f0f2c, (q31_t)0x13063505, + (q31_t)0x12ed5a21, (q31_t)0x12d47e83, + (q31_t)0x12bba22b, (q31_t)0x12a2c51b, (q31_t)0x1289e752, (q31_t)0x127108d2, (q31_t)0x1258299c, (q31_t)0x123f49b2, + (q31_t)0x12266913, (q31_t)0x120d87c1, + (q31_t)0x11f4a5bd, (q31_t)0x11dbc307, (q31_t)0x11c2dfa2, (q31_t)0x11a9fb8d, (q31_t)0x119116c9, (q31_t)0x11783159, + (q31_t)0x115f4b3c, (q31_t)0x11466473, + (q31_t)0x112d7d00, (q31_t)0x111494e4, (q31_t)0x10fbac1e, (q31_t)0x10e2c2b2, (q31_t)0x10c9d89e, (q31_t)0x10b0ede5, + (q31_t)0x10980287, (q31_t)0x107f1686, + (q31_t)0x106629e1, (q31_t)0x104d3c9b, (q31_t)0x10344eb4, (q31_t)0x101b602d, (q31_t)0x10027107, (q31_t)0xfe98143, + (q31_t)0xfd090e1, (q31_t)0xfb79fe4, + (q31_t)0xf9eae4c, (q31_t)0xf85bc19, (q31_t)0xf6cc94e, (q31_t)0xf53d5ea, (q31_t)0xf3ae1ee, (q31_t)0xf21ed5d, (q31_t)0xf08f836, + (q31_t)0xef0027b, + (q31_t)0xed70c2c, (q31_t)0xebe154b, (q31_t)0xea51dd8, (q31_t)0xe8c25d5, (q31_t)0xe732d42, (q31_t)0xe5a3421, (q31_t)0xe413a72, + (q31_t)0xe284036, + (q31_t)0xe0f456f, (q31_t)0xdf64a1c, (q31_t)0xddd4e40, (q31_t)0xdc451dc, (q31_t)0xdab54ef, (q31_t)0xd92577b, (q31_t)0xd795982, + (q31_t)0xd605b03, + (q31_t)0xd475c00, (q31_t)0xd2e5c7b, (q31_t)0xd155c73, (q31_t)0xcfc5bea, (q31_t)0xce35ae1, (q31_t)0xcca5959, (q31_t)0xcb15752, + (q31_t)0xc9854cf, + (q31_t)0xc7f51cf, (q31_t)0xc664e53, (q31_t)0xc4d4a5d, (q31_t)0xc3445ee, (q31_t)0xc1b4107, (q31_t)0xc023ba7, (q31_t)0xbe935d2, + (q31_t)0xbd02f87, + (q31_t)0xbb728c7, (q31_t)0xb9e2193, (q31_t)0xb8519ed, (q31_t)0xb6c11d5, (q31_t)0xb53094d, (q31_t)0xb3a0055, (q31_t)0xb20f6ee, + (q31_t)0xb07ed19, + (q31_t)0xaeee2d7, (q31_t)0xad5d829, (q31_t)0xabccd11, (q31_t)0xaa3c18e, (q31_t)0xa8ab5a2, (q31_t)0xa71a94f, (q31_t)0xa589c94, + (q31_t)0xa3f8f73, + (q31_t)0xa2681ed, (q31_t)0xa0d7403, (q31_t)0x9f465b5, (q31_t)0x9db5706, (q31_t)0x9c247f5, (q31_t)0x9a93884, (q31_t)0x99028b3, + (q31_t)0x9771884, + (q31_t)0x95e07f8, (q31_t)0x944f70f, (q31_t)0x92be5ca, (q31_t)0x912d42c, (q31_t)0x8f9c233, (q31_t)0x8e0afe2, (q31_t)0x8c79d3a, + (q31_t)0x8ae8a3a, + (q31_t)0x89576e5, (q31_t)0x87c633c, (q31_t)0x8634f3e, (q31_t)0x84a3aee, (q31_t)0x831264c, (q31_t)0x8181159, (q31_t)0x7fefc16, + (q31_t)0x7e5e685, + (q31_t)0x7ccd0a5, (q31_t)0x7b3ba78, (q31_t)0x79aa400, (q31_t)0x7818d3c, (q31_t)0x768762e, (q31_t)0x74f5ed7, (q31_t)0x7364738, + (q31_t)0x71d2f52, + (q31_t)0x7041726, (q31_t)0x6eafeb4, (q31_t)0x6d1e5fe, (q31_t)0x6b8cd05, (q31_t)0x69fb3c9, (q31_t)0x6869a4c, (q31_t)0x66d808f, + (q31_t)0x6546692, + (q31_t)0x63b4c57, (q31_t)0x62231de, (q31_t)0x6091729, (q31_t)0x5effc38, (q31_t)0x5d6e10c, (q31_t)0x5bdc5a7, (q31_t)0x5a4aa09, + (q31_t)0x58b8e34, + (q31_t)0x5727228, (q31_t)0x55955e6, (q31_t)0x540396f, (q31_t)0x5271cc4, (q31_t)0x50dffe7, (q31_t)0x4f4e2d8, (q31_t)0x4dbc597, + (q31_t)0x4c2a827, + (q31_t)0x4a98a88, (q31_t)0x4906cbb, (q31_t)0x4774ec1, (q31_t)0x45e309a, (q31_t)0x4451249, (q31_t)0x42bf3cd, (q31_t)0x412d528, + (q31_t)0x3f9b65b, + (q31_t)0x3e09767, (q31_t)0x3c7784d, (q31_t)0x3ae590d, (q31_t)0x39539a9, (q31_t)0x37c1a22, (q31_t)0x362fa78, (q31_t)0x349daac, + (q31_t)0x330bac1, + (q31_t)0x3179ab5, (q31_t)0x2fe7a8c, (q31_t)0x2e55a44, (q31_t)0x2cc39e1, (q31_t)0x2b31961, (q31_t)0x299f8c7, (q31_t)0x280d813, + (q31_t)0x267b747, + (q31_t)0x24e9662, (q31_t)0x2357567, (q31_t)0x21c5457, (q31_t)0x2033331, (q31_t)0x1ea11f7, (q31_t)0x1d0f0ab, (q31_t)0x1b7cf4d, + (q31_t)0x19eaddd, + (q31_t)0x1858c5e, (q31_t)0x16c6ad0, (q31_t)0x1534934, (q31_t)0x13a278a, (q31_t)0x12105d5, (q31_t)0x107e414, (q31_t)0xeec249, + (q31_t)0xd5a075, + (q31_t)0xbc7e99, (q31_t)0xa35cb5, (q31_t)0x8a3acb, (q31_t)0x7118dc, (q31_t)0x57f6e9, (q31_t)0x3ed4f2, (q31_t)0x25b2f8, + (q31_t)0xc90fe +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) + const q31_t WeightsQ31_8192[16384] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffffd9, (q31_t)0xfff9b781, (q31_t)0x7fffff62, (q31_t)0xfff36f02, (q31_t)0x7ffffe9d, (q31_t)0xffed2684, + (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffffc25, (q31_t)0xffe09586, (q31_t)0x7ffffa73, (q31_t)0xffda4d08, (q31_t)0x7ffff872, (q31_t)0xffd40489, + (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7ffff382, (q31_t)0xffc7738c, (q31_t)0x7ffff094, (q31_t)0xffc12b0e, (q31_t)0x7fffed57, (q31_t)0xffbae290, + (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, (q31_t)0x7fffe5f0, (q31_t)0xffae5195, (q31_t)0x7fffe1c6, (q31_t)0xffa80917, (q31_t)0x7fffdd4d, (q31_t)0xffa1c09a, + (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffd36f, (q31_t)0xff952fa0, (q31_t)0x7fffce09, (q31_t)0xff8ee724, (q31_t)0x7fffc854, (q31_t)0xff889ea7, + (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffbbfe, (q31_t)0xff7c0db0, (q31_t)0x7fffb55c, (q31_t)0xff75c535, (q31_t)0x7fffae6c, (q31_t)0xff6f7cba, + (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff9f9e, (q31_t)0xff62ebc5, (q31_t)0x7fff97c1, (q31_t)0xff5ca34b, (q31_t)0x7fff8f94, (q31_t)0xff565ad1, + (q31_t)0x7fff8719, (q31_t)0xff501258, (q31_t)0x7fff7e4f, (q31_t)0xff49c9df, (q31_t)0x7fff7536, (q31_t)0xff438167, (q31_t)0x7fff6bcd, (q31_t)0xff3d38ef, + (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff5810, (q31_t)0xff30a801, (q31_t)0x7fff4dbb, (q31_t)0xff2a5f8b, (q31_t)0x7fff4317, (q31_t)0xff241715, + (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff2ce2, (q31_t)0xff17862b, (q31_t)0x7fff2151, (q31_t)0xff113db7, (q31_t)0x7fff1572, (q31_t)0xff0af543, + (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffefcc5, (q31_t)0xfefe645e, (q31_t)0x7ffeeff8, (q31_t)0xfef81bec, (q31_t)0x7ffee2dd, (q31_t)0xfef1d37b, + (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, (q31_t)0x7ffec7b9, (q31_t)0xfee5429a, (q31_t)0x7ffeb9b0, (q31_t)0xfedefa2b, (q31_t)0x7ffeab59, (q31_t)0xfed8b1bd, + (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe8dbd, (q31_t)0xfecc20e2, (q31_t)0x7ffe7e79, (q31_t)0xfec5d876, (q31_t)0x7ffe6ee5, (q31_t)0xfebf900a, + (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe4ed2, (q31_t)0xfeb2ff36, (q31_t)0x7ffe3e52, (q31_t)0xfeacb6cc, (q31_t)0x7ffe2d83, (q31_t)0xfea66e64, + (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffe0af8, (q31_t)0xfe99dd96, (q31_t)0x7ffdf93c, (q31_t)0xfe939530, (q31_t)0x7ffde731, (q31_t)0xfe8d4ccb, + (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, (q31_t)0x7ffdc22e, (q31_t)0xfe80bc04, (q31_t)0x7ffdaf37, (q31_t)0xfe7a73a2, (q31_t)0x7ffd9bf0, (q31_t)0xfe742b41, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd7476, (q31_t)0xfe679a81, (q31_t)0x7ffd6042, (q31_t)0xfe615223, (q31_t)0x7ffd4bc0, (q31_t)0xfe5b09c5, + (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffd21ce, (q31_t)0xfe4e790d, (q31_t)0x7ffd0c5f, (q31_t)0xfe4830b3, (q31_t)0x7ffcf6a0, (q31_t)0xfe41e85a, + (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffcca37, (q31_t)0xfe3557ab, (q31_t)0x7ffcb38c, (q31_t)0xfe2f0f55, (q31_t)0x7ffc9c92, (q31_t)0xfe28c700, + (q31_t)0x7ffc8549, (q31_t)0xfe227eac, (q31_t)0x7ffc6db1, (q31_t)0xfe1c365a, (q31_t)0x7ffc55ca, (q31_t)0xfe15ee09, (q31_t)0x7ffc3d94, (q31_t)0xfe0fa5b8, + (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffc0c3b, (q31_t)0xfe03151c, (q31_t)0x7ffbf319, (q31_t)0xfdfccccf, (q31_t)0x7ffbd9a7, (q31_t)0xfdf68484, + (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffba5d7, (q31_t)0xfde9f3f1, (q31_t)0x7ffb8b78, (q31_t)0xfde3aba9, (q31_t)0x7ffb70cb, (q31_t)0xfddd6363, + (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffb3a83, (q31_t)0xfdd0d2db, (q31_t)0x7ffb1ee9, (q31_t)0xfdca8a99, (q31_t)0x7ffb0300, (q31_t)0xfdc44258, + (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, (q31_t)0x7ffaca40, (q31_t)0xfdb7b1da, (q31_t)0x7ffaad6a, (q31_t)0xfdb1699e, (q31_t)0x7ffa9045, (q31_t)0xfdab2162, + (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ffa550e, (q31_t)0xfd9e90f0, (q31_t)0x7ffa36fc, (q31_t)0xfd9848b9, (q31_t)0x7ffa189c, (q31_t)0xfd920084, + (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff9daed, (q31_t)0xfd85701e, (q31_t)0x7ff9bba0, (q31_t)0xfd7f27ed, (q31_t)0x7ff99c03, (q31_t)0xfd78dfbd, + (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff95bdd, (q31_t)0xfd6c4f64, (q31_t)0x7ff93b54, (q31_t)0xfd660739, (q31_t)0x7ff91a7b, (q31_t)0xfd5fbf10, + (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, (q31_t)0x7ff8d7de, (q31_t)0xfd532ec3, (q31_t)0x7ff8b619, (q31_t)0xfd4ce69f, (q31_t)0x7ff89405, (q31_t)0xfd469e7c, + (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff84ef0, (q31_t)0xfd3a0e3d, (q31_t)0x7ff82bef, (q31_t)0xfd33c61f, (q31_t)0x7ff8089f, (q31_t)0xfd2d7e04, + (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff7c113, (q31_t)0xfd20edd2, (q31_t)0x7ff79cd6, (q31_t)0xfd1aa5bc, (q31_t)0x7ff7784a, (q31_t)0xfd145da7, + (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff72e46, (q31_t)0xfd07cd83, (q31_t)0x7ff708ce, (q31_t)0xfd018574, (q31_t)0x7ff6e307, (q31_t)0xfcfb3d67, + (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, (q31_t)0x7ff6968b, (q31_t)0xfceead52, (q31_t)0x7ff66fd7, (q31_t)0xfce8654b, (q31_t)0x7ff648d4, (q31_t)0xfce21d45, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff5f9e1, (q31_t)0xfcd58d3f, (q31_t)0x7ff5d1f1, (q31_t)0xfccf453f, (q31_t)0x7ff5a9b2, (q31_t)0xfcc8fd41, + (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff55848, (q31_t)0xfcbc6d4c, (q31_t)0x7ff52f1d, (q31_t)0xfcb62554, (q31_t)0x7ff505a2, (q31_t)0xfcafdd5e, + (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4b1c0, (q31_t)0xfca34d78, (q31_t)0x7ff48759, (q31_t)0xfc9d0588, (q31_t)0x7ff45ca3, (q31_t)0xfc96bd9b, + (q31_t)0x7ff4319d, (q31_t)0xfc9075af, (q31_t)0x7ff40649, (q31_t)0xfc8a2dc6, (q31_t)0x7ff3daa6, (q31_t)0xfc83e5de, (q31_t)0x7ff3aeb4, (q31_t)0xfc7d9df9, + (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff355e4, (q31_t)0xfc710e36, (q31_t)0x7ff32905, (q31_t)0xfc6ac657, (q31_t)0x7ff2fbd7, (q31_t)0xfc647e7b, + (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff2a08f, (q31_t)0xfc57eec9, (q31_t)0x7ff27275, (q31_t)0xfc51a6f3, (q31_t)0x7ff2440b, (q31_t)0xfc4b5f20, + (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1e64c, (q31_t)0xfc3ecf80, (q31_t)0x7ff1b6f6, (q31_t)0xfc3887b3, (q31_t)0x7ff18751, (q31_t)0xfc323fe9, + (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, (q31_t)0x7ff1271a, (q31_t)0xfc25b05c, (q31_t)0x7ff0f688, (q31_t)0xfc1f6899, (q31_t)0x7ff0c5a7, (q31_t)0xfc1920d8, + (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7ff062f9, (q31_t)0xfc0c915e, (q31_t)0x7ff0312c, (q31_t)0xfc0649a5, (q31_t)0x7fefff0f, (q31_t)0xfc0001ee, + (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7fef99ea, (q31_t)0xfbf37287, (q31_t)0x7fef66e1, (q31_t)0xfbed2ad8, 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(q31_t)0x4f4e2d8, (q31_t)0x801893b4, (q31_t)0x4ee9b8c, (q31_t)0x80185592, + (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4e20cec, (q31_t)0x8017da3b, (q31_t)0x4dbc597, (q31_t)0x80179d06, (q31_t)0x4d57e40, (q31_t)0x80176020, + (q31_t)0x4cf36e5, (q31_t)0x80172388, (q31_t)0x4c8ef88, (q31_t)0x8016e740, (q31_t)0x4c2a827, (q31_t)0x8016ab46, (q31_t)0x4bc60c4, (q31_t)0x80166f9c, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x4afd1f4, (q31_t)0x8015f933, (q31_t)0x4a98a88, (q31_t)0x8015be75, (q31_t)0x4a34319, (q31_t)0x80158406, + (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x496b432, (q31_t)0x80151015, (q31_t)0x4906cbb, (q31_t)0x8014d693, (q31_t)0x48a2540, (q31_t)0x80149d5f, + (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x47d9643, (q31_t)0x80142be5, (q31_t)0x4774ec1, (q31_t)0x8013f39e, (q31_t)0x471073b, (q31_t)0x8013bba7, + (q31_t)0x46abfb3, (q31_t)0x801383fe, (q31_t)0x4647828, (q31_t)0x80134ca4, (q31_t)0x45e309a, (q31_t)0x80131599, (q31_t)0x457e90a, (q31_t)0x8012dedd, + (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x44b59e1, (q31_t)0x80127251, (q31_t)0x4451249, (q31_t)0x80123c82, (q31_t)0x43ecaae, (q31_t)0x80120701, + (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x4323b70, (q31_t)0x80119ced, (q31_t)0x42bf3cd, (q31_t)0x80116859, (q31_t)0x425ac28, (q31_t)0x80113414, + (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x4191cd5, (q31_t)0x8010cc78, (q31_t)0x412d528, (q31_t)0x8010991f, (q31_t)0x40c8d79, (q31_t)0x80106616, + (q31_t)0x40645c7, (q31_t)0x8010335c, (q31_t)0x3fffe12, (q31_t)0x801000f1, (q31_t)0x3f9b65b, (q31_t)0x800fced4, (q31_t)0x3f36ea2, (q31_t)0x800f9d07, + (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3e6df28, (q31_t)0x800f3a59, (q31_t)0x3e09767, (q31_t)0x800f0978, (q31_t)0x3da4fa4, (q31_t)0x800ed8e6, + (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3cdc017, (q31_t)0x800e78af, (q31_t)0x3c7784d, (q31_t)0x800e490a, (q31_t)0x3c13080, (q31_t)0x800e19b4, + (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3b4a0e0, (q31_t)0x800dbbf5, (q31_t)0x3ae590d, (q31_t)0x800d8d8b, (q31_t)0x3a81137, (q31_t)0x800d5f71, + (q31_t)0x3a1c960, (q31_t)0x800d31a5, (q31_t)0x39b8185, (q31_t)0x800d0429, (q31_t)0x39539a9, (q31_t)0x800cd6fb, (q31_t)0x38ef1ca, (q31_t)0x800caa1c, + (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x3826207, (q31_t)0x800c514c, (q31_t)0x37c1a22, (q31_t)0x800c255a, (q31_t)0x375d23a, (q31_t)0x800bf9b7, + (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3694265, (q31_t)0x800ba35d, (q31_t)0x362fa78, (q31_t)0x800b78a7, (q31_t)0x35cb288, (q31_t)0x800b4e40, + (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x35022a2, (q31_t)0x800afa5e, (q31_t)0x349daac, (q31_t)0x800ad0e3, (q31_t)0x34392b4, (q31_t)0x800aa7b8, + (q31_t)0x33d4abb, (q31_t)0x800a7edb, (q31_t)0x33702bf, (q31_t)0x800a564e, (q31_t)0x330bac1, (q31_t)0x800a2e0f, (q31_t)0x32a72c1, (q31_t)0x800a061f, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x31de2bb, (q31_t)0x8009b72c, (q31_t)0x3179ab5, (q31_t)0x80099029, (q31_t)0x31152ae, (q31_t)0x80096975, + (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x304c299, (q31_t)0x80091cf9, (q31_t)0x2fe7a8c, (q31_t)0x8008f732, (q31_t)0x2f8327d, (q31_t)0x8008d1ba, + (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2eba259, (q31_t)0x800887b6, (q31_t)0x2e55a44, (q31_t)0x8008632a, (q31_t)0x2df122e, (q31_t)0x80083eed, + (q31_t)0x2d8ca16, (q31_t)0x80081b00, (q31_t)0x2d281fc, (q31_t)0x8007f761, (q31_t)0x2cc39e1, (q31_t)0x8007d411, (q31_t)0x2c5f1c3, (q31_t)0x8007b110, + (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2b96184, (q31_t)0x80076bfb, (q31_t)0x2b31961, (q31_t)0x800749e7, (q31_t)0x2acd13d, (q31_t)0x80072822, + (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x2a040f0, (q31_t)0x8006e585, (q31_t)0x299f8c7, (q31_t)0x8006c4ac, (q31_t)0x293b09c, (q31_t)0x8006a423, + (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x2872043, (q31_t)0x800663fd, (q31_t)0x280d813, (q31_t)0x80064460, (q31_t)0x27a8fe2, (q31_t)0x80062513, + (q31_t)0x27447b0, (q31_t)0x80060614, (q31_t)0x26dff7c, (q31_t)0x8005e764, (q31_t)0x267b747, (q31_t)0x8005c904, (q31_t)0x2616f10, (q31_t)0x8005aaf2, + (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x254de9e, (q31_t)0x80056fbb, (q31_t)0x24e9662, (q31_t)0x80055296, (q31_t)0x2484e26, (q31_t)0x800535c0, + (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x23bbda8, (q31_t)0x8004fd00, (q31_t)0x2357567, (q31_t)0x8004e117, (q31_t)0x22f2d25, (q31_t)0x8004c57d, + (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x2229c9d, (q31_t)0x80048f35, (q31_t)0x21c5457, (q31_t)0x80047488, (q31_t)0x2160c0f, (q31_t)0x80045a29, + (q31_t)0x20fc3c6, (q31_t)0x8004401a, (q31_t)0x2097b7c, (q31_t)0x80042659, (q31_t)0x2033331, (q31_t)0x80040ce7, (q31_t)0x1fceae4, (q31_t)0x8003f3c5, + (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1f05a48, (q31_t)0x8003c26c, (q31_t)0x1ea11f7, (q31_t)0x8003aa36, (q31_t)0x1e3c9a6, (q31_t)0x8003924f, + (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1d73900, (q31_t)0x8003636e, (q31_t)0x1d0f0ab, (q31_t)0x80034c74, (q31_t)0x1caa855, (q31_t)0x800335c9, + (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1be17a6, (q31_t)0x80030960, (q31_t)0x1b7cf4d, (q31_t)0x8002f3a1, (q31_t)0x1b186f3, (q31_t)0x8002de32, + (q31_t)0x1ab3e97, (q31_t)0x8002c912, (q31_t)0x1a4f63b, (q31_t)0x8002b440, (q31_t)0x19eaddd, (q31_t)0x80029fbe, (q31_t)0x198657f, (q31_t)0x80028b8a, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x18bd4bf, (q31_t)0x80026410, (q31_t)0x1858c5e, (q31_t)0x800250c9, (q31_t)0x17f43fc, (q31_t)0x80023dd2, + (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x172b335, (q31_t)0x800218cf, (q31_t)0x16c6ad0, (q31_t)0x800206c4, (q31_t)0x166226a, (q31_t)0x8001f508, + (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x159919c, (q31_t)0x8001d27d, (q31_t)0x1534934, (q31_t)0x8001c1ae, (q31_t)0x14d00ca, (q31_t)0x8001b12e, + (q31_t)0x146b860, (q31_t)0x8001a0fd, (q31_t)0x1406ff6, (q31_t)0x8001911b, (q31_t)0x13a278a, (q31_t)0x80018187, (q31_t)0x133df1e, (q31_t)0x80017243, + (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x1274e43, (q31_t)0x800154a7, (q31_t)0x12105d5, (q31_t)0x80014650, (q31_t)0x11abd66, (q31_t)0x80013847, + (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x10e2c85, (q31_t)0x80011d23, (q31_t)0x107e414, (q31_t)0x80011008, (q31_t)0x1019ba2, (q31_t)0x8001033b, + (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0x0f50abd, (q31_t)0x8000ea8e, (q31_t)0x0eec249, (q31_t)0x8000deaf, (q31_t)0x0e879d5, (q31_t)0x8000d31e, + (q31_t)0x0e23160, (q31_t)0x8000c7dc, (q31_t)0x0dbe8eb, (q31_t)0x8000bce9, (q31_t)0x0d5a075, (q31_t)0x8000b245, (q31_t)0x0cf57ff, (q31_t)0x8000a7f0, + (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0c2c711, (q31_t)0x80009433, (q31_t)0x0bc7e99, (q31_t)0x80008aca, (q31_t)0x0b63621, (q31_t)0x800081b1, + (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x0a9a52f, (q31_t)0x8000706c, (q31_t)0x0a35cb5, (q31_t)0x8000683f, (q31_t)0x09d143b, (q31_t)0x80006062, + (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x0908346, (q31_t)0x80005194, (q31_t)0x08a3acb, (q31_t)0x80004aa4, (q31_t)0x083f250, (q31_t)0x80004402, + (q31_t)0x07da9d4, (q31_t)0x80003daf, (q31_t)0x0776159, (q31_t)0x800037ac, (q31_t)0x07118dc, (q31_t)0x800031f7, (q31_t)0x06ad060, (q31_t)0x80002c91, + (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x05e3f66, (q31_t)0x800022b3, (q31_t)0x057f6e9, (q31_t)0x80001e3a, (q31_t)0x051ae6b, (q31_t)0x80001a10, + (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x0451d70, (q31_t)0x800012a9, (q31_t)0x03ed4f2, (q31_t)0x80000f6c, (q31_t)0x0388c74, (q31_t)0x80000c7e, + (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x02bfb77, (q31_t)0x8000078e, (q31_t)0x025b2f8, (q31_t)0x8000058d, (q31_t)0x01f6a7a, (q31_t)0x800003db, + (q31_t)0x01921fb, (q31_t)0x80000278, (q31_t)0x012d97c, (q31_t)0x80000163, (q31_t)0x00c90fe, (q31_t)0x8000009e, (q31_t)0x006487f, (q31_t)0x80000027 +}; + const q31_t cos_factorsQ31_8192[8192] = { + (q31_t)0x7ffffff6, (q31_t)0x7fffffa7, (q31_t)0x7fffff09, (q31_t)0x7ffffe1c, (q31_t)0x7ffffce1, (q31_t)0x7ffffb56, (q31_t)0x7ffff97c, (q31_t)0x7ffff753, + (q31_t)0x7ffff4dc, (q31_t)0x7ffff215, (q31_t)0x7fffef00, (q31_t)0x7fffeb9b, (q31_t)0x7fffe7e8, (q31_t)0x7fffe3e5, (q31_t)0x7fffdf94, (q31_t)0x7fffdaf3, + (q31_t)0x7fffd604, (q31_t)0x7fffd0c6, (q31_t)0x7fffcb39, (q31_t)0x7fffc55c, (q31_t)0x7fffbf31, (q31_t)0x7fffb8b7, (q31_t)0x7fffb1ee, (q31_t)0x7fffaad6, + (q31_t)0x7fffa36f, (q31_t)0x7fff9bb9, (q31_t)0x7fff93b4, (q31_t)0x7fff8b61, (q31_t)0x7fff82be, (q31_t)0x7fff79cc, (q31_t)0x7fff708b, (q31_t)0x7fff66fc, + (q31_t)0x7fff5d1d, (q31_t)0x7fff52ef, (q31_t)0x7fff4873, (q31_t)0x7fff3da8, (q31_t)0x7fff328d, (q31_t)0x7fff2724, (q31_t)0x7fff1b6b, (q31_t)0x7fff0f64, + (q31_t)0x7fff030e, (q31_t)0x7ffef669, (q31_t)0x7ffee975, (q31_t)0x7ffedc31, (q31_t)0x7ffece9f, (q31_t)0x7ffec0be, (q31_t)0x7ffeb28e, (q31_t)0x7ffea40f, + (q31_t)0x7ffe9542, (q31_t)0x7ffe8625, (q31_t)0x7ffe76b9, (q31_t)0x7ffe66fe, (q31_t)0x7ffe56f5, (q31_t)0x7ffe469c, (q31_t)0x7ffe35f4, (q31_t)0x7ffe24fe, + (q31_t)0x7ffe13b8, (q31_t)0x7ffe0224, (q31_t)0x7ffdf040, (q31_t)0x7ffdde0e, (q31_t)0x7ffdcb8d, (q31_t)0x7ffdb8bc, (q31_t)0x7ffda59d, (q31_t)0x7ffd922f, + (q31_t)0x7ffd7e72, (q31_t)0x7ffd6a66, (q31_t)0x7ffd560b, (q31_t)0x7ffd4161, (q31_t)0x7ffd2c68, (q31_t)0x7ffd1720, (q31_t)0x7ffd0189, (q31_t)0x7ffceba4, + (q31_t)0x7ffcd56f, (q31_t)0x7ffcbeeb, (q31_t)0x7ffca819, (q31_t)0x7ffc90f7, (q31_t)0x7ffc7987, (q31_t)0x7ffc61c7, (q31_t)0x7ffc49b9, (q31_t)0x7ffc315b, + (q31_t)0x7ffc18af, (q31_t)0x7ffbffb4, (q31_t)0x7ffbe66a, (q31_t)0x7ffbccd0, (q31_t)0x7ffbb2e8, (q31_t)0x7ffb98b1, (q31_t)0x7ffb7e2b, (q31_t)0x7ffb6356, + (q31_t)0x7ffb4833, (q31_t)0x7ffb2cc0, (q31_t)0x7ffb10fe, (q31_t)0x7ffaf4ed, (q31_t)0x7ffad88e, (q31_t)0x7ffabbdf, (q31_t)0x7ffa9ee2, (q31_t)0x7ffa8195, + (q31_t)0x7ffa63fa, (q31_t)0x7ffa460f, (q31_t)0x7ffa27d6, (q31_t)0x7ffa094e, (q31_t)0x7ff9ea76, (q31_t)0x7ff9cb50, (q31_t)0x7ff9abdb, (q31_t)0x7ff98c17, + (q31_t)0x7ff96c04, (q31_t)0x7ff94ba2, (q31_t)0x7ff92af1, (q31_t)0x7ff909f2, (q31_t)0x7ff8e8a3, (q31_t)0x7ff8c705, (q31_t)0x7ff8a519, (q31_t)0x7ff882dd, + (q31_t)0x7ff86053, (q31_t)0x7ff83d79, (q31_t)0x7ff81a51, (q31_t)0x7ff7f6da, (q31_t)0x7ff7d313, (q31_t)0x7ff7aefe, (q31_t)0x7ff78a9a, (q31_t)0x7ff765e7, + (q31_t)0x7ff740e5, (q31_t)0x7ff71b94, (q31_t)0x7ff6f5f4, (q31_t)0x7ff6d005, (q31_t)0x7ff6a9c8, (q31_t)0x7ff6833b, (q31_t)0x7ff65c5f, (q31_t)0x7ff63535, + (q31_t)0x7ff60dbb, (q31_t)0x7ff5e5f3, (q31_t)0x7ff5bddc, (q31_t)0x7ff59576, (q31_t)0x7ff56cc0, (q31_t)0x7ff543bc, (q31_t)0x7ff51a69, (q31_t)0x7ff4f0c7, + (q31_t)0x7ff4c6d6, (q31_t)0x7ff49c96, (q31_t)0x7ff47208, (q31_t)0x7ff4472a, (q31_t)0x7ff41bfd, (q31_t)0x7ff3f082, (q31_t)0x7ff3c4b7, (q31_t)0x7ff3989e, + (q31_t)0x7ff36c36, (q31_t)0x7ff33f7e, (q31_t)0x7ff31278, (q31_t)0x7ff2e523, (q31_t)0x7ff2b77f, (q31_t)0x7ff2898c, (q31_t)0x7ff25b4a, (q31_t)0x7ff22cb9, + (q31_t)0x7ff1fdd9, (q31_t)0x7ff1ceab, (q31_t)0x7ff19f2d, (q31_t)0x7ff16f61, (q31_t)0x7ff13f45, (q31_t)0x7ff10edb, (q31_t)0x7ff0de22, (q31_t)0x7ff0ad19, + (q31_t)0x7ff07bc2, (q31_t)0x7ff04a1c, (q31_t)0x7ff01827, (q31_t)0x7fefe5e4, (q31_t)0x7fefb351, (q31_t)0x7fef806f, (q31_t)0x7fef4d3e, (q31_t)0x7fef19bf, + (q31_t)0x7feee5f0, (q31_t)0x7feeb1d3, (q31_t)0x7fee7d67, (q31_t)0x7fee48ac, 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(q31_t)0x93b90a0, + (q31_t)0x9354c4f, (q31_t)0x92f07f8, (q31_t)0x928c39b, (q31_t)0x9227f39, (q31_t)0x91c3ad2, (q31_t)0x915f664, (q31_t)0x90fb1f1, (q31_t)0x9096d79, + (q31_t)0x90328fb, (q31_t)0x8fce477, (q31_t)0x8f69fee, (q31_t)0x8f05b5f, (q31_t)0x8ea16cb, (q31_t)0x8e3d231, (q31_t)0x8dd8d92, (q31_t)0x8d748ed, + (q31_t)0x8d10443, (q31_t)0x8cabf93, (q31_t)0x8c47ade, (q31_t)0x8be3624, (q31_t)0x8b7f164, (q31_t)0x8b1ac9f, (q31_t)0x8ab67d4, (q31_t)0x8a52304, + (q31_t)0x89ede2f, (q31_t)0x8989955, (q31_t)0x8925475, (q31_t)0x88c0f90, (q31_t)0x885caa5, (q31_t)0x87f85b5, (q31_t)0x87940c1, (q31_t)0x872fbc6, + (q31_t)0x86cb6c7, (q31_t)0x86671c2, (q31_t)0x8602cb9, (q31_t)0x859e7aa, (q31_t)0x853a296, (q31_t)0x84d5d7d, (q31_t)0x847185e, (q31_t)0x840d33b, + (q31_t)0x83a8e12, (q31_t)0x83448e5, (q31_t)0x82e03b2, (q31_t)0x827be7a, (q31_t)0x821793e, (q31_t)0x81b33fc, (q31_t)0x814eeb5, (q31_t)0x80ea969, + (q31_t)0x8086419, (q31_t)0x8021ec3, (q31_t)0x7fbd968, (q31_t)0x7f59409, (q31_t)0x7ef4ea4, (q31_t)0x7e9093b, (q31_t)0x7e2c3cd, (q31_t)0x7dc7e5a, + (q31_t)0x7d638e2, (q31_t)0x7cff365, (q31_t)0x7c9ade4, (q31_t)0x7c3685d, (q31_t)0x7bd22d2, (q31_t)0x7b6dd42, (q31_t)0x7b097ad, (q31_t)0x7aa5214, + (q31_t)0x7a40c76, (q31_t)0x79dc6d3, (q31_t)0x797812b, (q31_t)0x7913b7f, (q31_t)0x78af5ce, (q31_t)0x784b019, (q31_t)0x77e6a5e, (q31_t)0x77824a0, + (q31_t)0x771dedc, (q31_t)0x76b9914, (q31_t)0x7655347, (q31_t)0x75f0d76, (q31_t)0x758c7a1, (q31_t)0x75281c6, (q31_t)0x74c3be7, (q31_t)0x745f604, + (q31_t)0x73fb01c, (q31_t)0x7396a30, (q31_t)0x733243f, (q31_t)0x72cde4a, (q31_t)0x7269851, (q31_t)0x7205253, (q31_t)0x71a0c50, (q31_t)0x713c64a, + (q31_t)0x70d803f, (q31_t)0x7073a2f, (q31_t)0x700f41b, (q31_t)0x6faae03, (q31_t)0x6f467e7, (q31_t)0x6ee21c6, (q31_t)0x6e7dba1, (q31_t)0x6e19578, + (q31_t)0x6db4f4a, (q31_t)0x6d50919, (q31_t)0x6cec2e3, (q31_t)0x6c87ca9, (q31_t)0x6c2366a, (q31_t)0x6bbf028, (q31_t)0x6b5a9e1, (q31_t)0x6af6396, + (q31_t)0x6a91d47, (q31_t)0x6a2d6f4, (q31_t)0x69c909d, (q31_t)0x6964a42, (q31_t)0x69003e3, (q31_t)0x689bd80, (q31_t)0x6837718, (q31_t)0x67d30ad, + (q31_t)0x676ea3d, (q31_t)0x670a3ca, (q31_t)0x66a5d53, (q31_t)0x66416d8, (q31_t)0x65dd058, (q31_t)0x65789d5, (q31_t)0x651434e, (q31_t)0x64afcc3, + (q31_t)0x644b634, (q31_t)0x63e6fa2, (q31_t)0x638290b, (q31_t)0x631e271, (q31_t)0x62b9bd3, (q31_t)0x6255531, (q31_t)0x61f0e8b, (q31_t)0x618c7e1, + (q31_t)0x6128134, (q31_t)0x60c3a83, (q31_t)0x605f3ce, (q31_t)0x5ffad15, (q31_t)0x5f96659, (q31_t)0x5f31f99, (q31_t)0x5ecd8d6, (q31_t)0x5e6920e, + (q31_t)0x5e04b43, (q31_t)0x5da0475, (q31_t)0x5d3bda3, (q31_t)0x5cd76cd, (q31_t)0x5c72ff4, (q31_t)0x5c0e917, (q31_t)0x5baa237, (q31_t)0x5b45b53, + (q31_t)0x5ae146b, (q31_t)0x5a7cd80, (q31_t)0x5a18692, (q31_t)0x59b3fa0, (q31_t)0x594f8aa, (q31_t)0x58eb1b2, (q31_t)0x5886ab5, (q31_t)0x58223b6, + (q31_t)0x57bdcb3, (q31_t)0x57595ac, (q31_t)0x56f4ea2, (q31_t)0x5690795, (q31_t)0x562c085, (q31_t)0x55c7971, (q31_t)0x556325a, (q31_t)0x54feb3f, + (q31_t)0x549a422, (q31_t)0x5435d01, (q31_t)0x53d15dd, (q31_t)0x536ceb5, (q31_t)0x530878a, (q31_t)0x52a405d, (q31_t)0x523f92c, (q31_t)0x51db1f7, + (q31_t)0x5176ac0, (q31_t)0x5112385, (q31_t)0x50adc48, (q31_t)0x5049507, (q31_t)0x4fe4dc3, (q31_t)0x4f8067c, (q31_t)0x4f1bf32, (q31_t)0x4eb77e5, + (q31_t)0x4e53095, (q31_t)0x4dee942, (q31_t)0x4d8a1ec, (q31_t)0x4d25a93, (q31_t)0x4cc1337, (q31_t)0x4c5cbd8, (q31_t)0x4bf8476, (q31_t)0x4b93d11, + (q31_t)0x4b2f5a9, (q31_t)0x4acae3e, (q31_t)0x4a666d1, (q31_t)0x4a01f60, (q31_t)0x499d7ed, (q31_t)0x4939077, (q31_t)0x48d48fe, (q31_t)0x4870182, + (q31_t)0x480ba04, (q31_t)0x47a7282, (q31_t)0x4742afe, (q31_t)0x46de377, (q31_t)0x4679bee, (q31_t)0x4615461, (q31_t)0x45b0cd2, (q31_t)0x454c541, + (q31_t)0x44e7dac, (q31_t)0x4483615, (q31_t)0x441ee7c, (q31_t)0x43ba6df, (q31_t)0x4355f40, (q31_t)0x42f179f, (q31_t)0x428cffb, (q31_t)0x4228854, + (q31_t)0x41c40ab, (q31_t)0x415f8ff, (q31_t)0x40fb151, (q31_t)0x40969a0, (q31_t)0x40321ed, (q31_t)0x3fcda37, (q31_t)0x3f6927f, (q31_t)0x3f04ac4, + (q31_t)0x3ea0307, (q31_t)0x3e3bb48, (q31_t)0x3dd7386, (q31_t)0x3d72bc2, (q31_t)0x3d0e3fb, (q31_t)0x3ca9c32, (q31_t)0x3c45467, (q31_t)0x3be0c99, + (q31_t)0x3b7c4c9, (q31_t)0x3b17cf7, (q31_t)0x3ab3523, (q31_t)0x3a4ed4c, (q31_t)0x39ea573, (q31_t)0x3985d97, (q31_t)0x39215ba, (q31_t)0x38bcdda, + (q31_t)0x38585f8, (q31_t)0x37f3e14, (q31_t)0x378f62e, (q31_t)0x372ae46, (q31_t)0x36c665b, (q31_t)0x3661e6f, (q31_t)0x35fd680, (q31_t)0x3598e8f, + (q31_t)0x353469c, (q31_t)0x34cfea8, (q31_t)0x346b6b1, (q31_t)0x3406eb8, (q31_t)0x33a26bd, (q31_t)0x333dec0, (q31_t)0x32d96c1, (q31_t)0x3274ec0, + (q31_t)0x32106bd, (q31_t)0x31abeb9, (q31_t)0x31476b2, (q31_t)0x30e2ea9, (q31_t)0x307e69f, (q31_t)0x3019e93, (q31_t)0x2fb5684, (q31_t)0x2f50e74, + (q31_t)0x2eec663, (q31_t)0x2e87e4f, (q31_t)0x2e2363a, (q31_t)0x2dbee22, (q31_t)0x2d5a609, (q31_t)0x2cf5def, (q31_t)0x2c915d2, (q31_t)0x2c2cdb4, + (q31_t)0x2bc8594, (q31_t)0x2b63d73, (q31_t)0x2aff54f, (q31_t)0x2a9ad2a, (q31_t)0x2a36504, (q31_t)0x29d1cdc, (q31_t)0x296d4b2, (q31_t)0x2908c87, + (q31_t)0x28a445a, (q31_t)0x283fc2b, (q31_t)0x27db3fb, (q31_t)0x2776bc9, (q31_t)0x2712396, (q31_t)0x26adb62, (q31_t)0x264932b, (q31_t)0x25e4af4, + (q31_t)0x25802bb, (q31_t)0x251ba80, (q31_t)0x24b7244, (q31_t)0x2452a07, (q31_t)0x23ee1c8, (q31_t)0x2389988, (q31_t)0x2325147, (q31_t)0x22c0904, + (q31_t)0x225c0bf, (q31_t)0x21f787a, (q31_t)0x2193033, (q31_t)0x212e7eb, (q31_t)0x20c9fa1, (q31_t)0x2065757, (q31_t)0x2000f0b, (q31_t)0x1f9c6be, + (q31_t)0x1f37e6f, (q31_t)0x1ed3620, (q31_t)0x1e6edcf, (q31_t)0x1e0a57d, (q31_t)0x1da5d2a, (q31_t)0x1d414d6, (q31_t)0x1cdcc80, (q31_t)0x1c7842a, + (q31_t)0x1c13bd2, (q31_t)0x1baf37a, (q31_t)0x1b4ab20, (q31_t)0x1ae62c5, (q31_t)0x1a81a69, (q31_t)0x1a1d20c, (q31_t)0x19b89ae, (q31_t)0x1954150, + (q31_t)0x18ef8f0, (q31_t)0x188b08f, (q31_t)0x182682d, (q31_t)0x17c1fcb, (q31_t)0x175d767, (q31_t)0x16f8f03, (q31_t)0x169469d, (q31_t)0x162fe37, + (q31_t)0x15cb5d0, (q31_t)0x1566d68, (q31_t)0x15024ff, (q31_t)0x149dc96, (q31_t)0x143942b, (q31_t)0x13d4bc0, (q31_t)0x1370354, (q31_t)0x130bae7, + (q31_t)0x12a727a, (q31_t)0x1242a0c, (q31_t)0x11de19d, (q31_t)0x117992e, (q31_t)0x11150be, (q31_t)0x10b084d, (q31_t)0x104bfdb, (q31_t)0xfe7769, + (q31_t)0xf82ef6, (q31_t)0xf1e683, (q31_t)0xeb9e0f, (q31_t)0xe5559b, (q31_t)0xdf0d26, (q31_t)0xd8c4b0, (q31_t)0xd27c3a, (q31_t)0xcc33c3, + (q31_t)0xc5eb4c, (q31_t)0xbfa2d5, (q31_t)0xb95a5d, (q31_t)0xb311e4, (q31_t)0xacc96b, (q31_t)0xa680f2, (q31_t)0xa03878, (q31_t)0x99effe, + (q31_t)0x93a784, (q31_t)0x8d5f09, (q31_t)0x87168e, (q31_t)0x80ce12, (q31_t)0x7a8597, (q31_t)0x743d1a, (q31_t)0x6df49e, (q31_t)0x67ac21, + (q31_t)0x6163a5, (q31_t)0x5b1b27, (q31_t)0x54d2aa, (q31_t)0x4e8a2c, (q31_t)0x4841af, (q31_t)0x41f931, (q31_t)0x3bb0b3, (q31_t)0x356835, + (q31_t)0x2f1fb6, (q31_t)0x28d738, (q31_t)0x228eb9, (q31_t)0x1c463b, (q31_t)0x15fdbc, (q31_t)0xfb53d, (q31_t)0x96cbe, (q31_t)0x3243f +}; + #endif + +/** + @} end of DCT4_IDCT4_Table group + */ + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15) +/** + @brief Q15 table for reciprocal +*/ +const q15_t __ALIGNED(4) armRecipTableQ15[64] = { + 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, + 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, + 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, + 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, + 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, + 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, + 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, + 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, + 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, + 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, + 0x41CC, 0x4146, 0x40C2, 0x4040 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31) + +/** + @brief Q31 table for reciprocal +*/ +const q31_t armRecipTableQ31[64] = { + 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, + 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, + 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, + 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, + 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, + 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, + 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, + 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, + 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, + 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, + 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32) +/** + @par + Example code for the generation of the floating-point sine table: + 
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }
+ @par + where PI value is 3.14159265358979 + */ +const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = { + 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f, + 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f, + 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f, + 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f, + 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f, + 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f, + 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f, + 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f, + 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f, + 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f, + 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f, + 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f, + 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f, + 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f, + 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f, + 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f, + 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f, + 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f, + 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f, + 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f, + 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f, + 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f, + 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f, + 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f, + 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f, + 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f, + 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f, + 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f, + 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f, + 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f, + 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f, + 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f, + 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f, + 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f, + 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f, + 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f, + 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f, + 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f, + 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f, + 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f, + 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f, + 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f, + 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f, + -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f, + -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f, + -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, + -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, + -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, + -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, + -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, + -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, + -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, + -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, + -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, + -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, + -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, + -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, + -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, + -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, + -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, + -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, + -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, + -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, + -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, + -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, + -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, + -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, + -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, + -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, + -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, + -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, + -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, + -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, + -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, + -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, + -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, + -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, + -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, + -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, + -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, + -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, + -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, + -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, + -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, + -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, + -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, + -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, + -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, + -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, + -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, + -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, + -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, + -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, + -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f +}; +#endif /* defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31) +/** + @par + Table values are in Q31 (1.31 fixed-point format) and generation is done in + three steps. First, generate sin values in floating point: + 
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }
+ where PI value is 3.14159265358979 + @par + Second, convert floating-point to Q31 (Fixed point): + (sinTable[i] * pow(2, 31)) + @par + Finally, round to the nearest integer value: + sinTable[i] += (sinTable[i] > 0 ? 0.5 : -0.5); + */ +const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = { + 0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L, + 184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L, + 341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L, + 496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L, + 648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L, + 797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L, + 941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L, + 1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L, + 1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L, + 1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L, + 1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L, + 1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L, + 1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L, + 1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L, + 1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L, + 1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L, + 1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L, + 2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L, + 2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L, + 2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L, + 2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L, + 2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L, + 2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L, + 2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L, + 2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L, + 2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L, + 2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L, + 1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L, + 1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L, + 1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L, + 1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L, + 1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L, + 1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L, + 1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L, + 1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L, + 1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L, + 988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L, + 846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L, + 698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L, + 547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L, + 393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L, + 236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L, + 79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L, + -105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L, + -262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L, + -418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L, + -572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L, + -723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L, + -870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L, + -1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L, + -1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L, + -1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L, + -1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L, + -1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L, + -1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L, + -1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L, + -1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L, + -1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L, + -1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L, + -1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L, + -1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L, + -2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L, + -2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L, + -2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L, + -2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L, + -2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L, + -2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L, + -2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L, + -2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L, + -2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L, + -2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L, + -2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L, + -2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L, + -1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L, + -1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L, + -1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L, + -1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L, + -1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L, + -1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L, + -1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L, + -1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L, + -1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L, + -1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L, + -1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L, + -1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L, + -918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L, + -772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L, + -623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L, + -470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L, + -315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L, + -157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0 +}; + +#endif /* defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15) +/** + @par + Table values are in Q15 (1.15 fixed-point format) and generation is done in + three steps. First, generate sin values in floating point: + 
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }
+ where PI value is 3.14159265358979 + @par + Second, convert floating-point to Q15 (Fixed point): + (sinTable[i] * pow(2, 15)) + @par + Finally, round to the nearest integer value: + sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); + */ +const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = { + 0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808, + 5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512, + 9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279, + 13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846, + 17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160, + 20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170, + 23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833, + 26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106, + 28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957, + 30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357, + 31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286, + 32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729, + 32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679, + 32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138, + 32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114, + 30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622, + 29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684, + 27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330, + 25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595, + 22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520, + 19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151, + 15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540, + 12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351, + 7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612, + 3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206, + -1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205, + -5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127, + -9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540, + -12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800, + -16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868, + -19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706, + -22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279, + -24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557, + -26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511, + -28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118, + -30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357, + -31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214, + -32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679, + -32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746, + -32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413, + -32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686, + -31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572, + -30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086, + -28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246, + -27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073, + -24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595, + -22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841, + -19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846, + -16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646, + -13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279, + -9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393, + -5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411, + -2009, -1608, -1206, -804, -402, 0 +}; +#endif /* defined(ARM_ALL_FAST_TABLES) */ + +#if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) +const q31_t sqrtTable_Q31[256] = { + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x5ffffffe, 0x7ffffffa, 0x5e88c596, 0x7a39e2ff, + 0x5d2238d8, 0x74dfa6b1, 0x5bcb268e, 0x6fe69562, + 0x5a827998, 0x6b454dba, 0x5947373a, 0x66f39063, + 0x58187bf8, 0x62ea1669, 0x56f578e6, 0x5f226e5f, + 0x55dd714e, 0x5b96df40, 0x54cfb8b0, 0x58424fca, + 0x53cbb102, 0x552031c7, 0x52d0c92c, 0x522c7048, + 0x51de7bb2, 0x4f6360a9, 0x50f44d86, 0x4cc1b594, + 0x5011cd0a, 0x4a4473f6, 0x4f36911a, 0x47e8e962, + 0x4e62384e, 0x45aca3d0, 0x4d946838, 0x438d6a6a, + 0x4cccccca, 0x41893746, 0x4c0b17c0, 0x3f9e31fa, + 0x4b4f0022, 0x3dcaaac3, 0x4a9841ce, 0x3c0d1660, + 0x49e69d14, 0x3a640a53, 0x4939d654, 0x38ce39a6, + 0x4891b5b2, 0x374a720b, 0x47ee06ba, 0x35d7993c, + 0x474e9830, 0x3474aacc, 0x46b33bc0, 0x3320b60c, + 0x461bc5d2, 0x31dadc4f, 0x45880d4c, 0x30a24f3c, + 0x44f7eb6a, 0x2f764f6a, 0x446b3b92, 0x2e562b0b, + 0x43e1db32, 0x2d413cc9, 0x435ba98a, 0x2c36eab0, + 0x42d887a4, 0x2b36a542, 0x42585824, 0x2a3fe69b, + 0x41daff34, 0x295231b0, 0x41606266, 0x286d118d, + 0x40e868a4, 0x279018c3, 0x4072fa10, 0x26bae0c8, + 0x3ffffffe, 0x25ed0979, 0x3f8f64d2, 0x25263894, + 0x3f2113f8, 0x24661958, 0x3eb4f9d8, 0x23ac5c10, + 0x3e4b03ba, 0x22f8b5bb, 0x3de31fc4, 0x224adfba, + 0x3d7d3cee, 0x21a2977a, 0x3d194ae8, 0x20ff9e30, + 0x3cb73a24, 0x2061b89a, 0x3c56fbba, 0x1fc8aebb, + 0x3bf88166, 0x1f344ba6, 0x3b9bbd80, 0x1ea45d4b, + 0x3b40a2f0, 0x1e18b448, 0x3ae7252e, 0x1d9123b9, + 0x3a8f382c, 0x1d0d8113, 0x3a38d062, 0x1c8da3fb, + 0x39e3e2b6, 0x1c116628, 0x39906482, 0x1b98a33c, + 0x393e4b8a, 0x1b2338aa, 0x38ed8df6, 0x1ab1059a, + 0x389e2250, 0x1a41eace, 0x384fff7a, 0x19d5ca89, + 0x38031cb2, 0x196c887b, 0x37b77184, 0x190609a9, + 0x376cf5ce, 0x18a2345b, 0x3723a1ba, 0x1840f00a, + 0x36db6db6, 0x17e22550, 0x36945276, 0x1785bdd2, + 0x364e48f4, 0x172ba43e, 0x36094a64, 0x16d3c42c, + 0x35c55036, 0x167e0a1f, 0x35825414, 0x162a6372, + 0x35404fde, 0x15d8be4d, 0x34ff3dac, 0x1589099d, + 0x34bf17c4, 0x153b3508, 0x347fd89e, 0x14ef30e4, + 0x34417ade, 0x14a4ee2a, 0x3403f956, 0x145c5e76, + 0x33c74f02, 0x141573fa, 0x338b7706, 0x13d02171, + 0x33506cae, 0x138c5a28, 0x33162b6a, 0x134a11e6, + 0x32dcaed0, 0x13093cee, 0x32a3f294, 0x12c9cffa, + 0x326bf292, 0x128bc034, 0x3234aac0, 0x124f0330, + 0x31fe1736, 0x12138ee5, 0x31c83428, 0x11d959b0, + 0x3192fde6, 0x11a05a45, 0x315e70de, 0x116887b5, + 0x312a8994, 0x1131d960, 0x30f744aa, 0x10fc46fd, + 0x30c49ed6, 0x10c7c88b, 0x309294ea, 0x10945653, + 0x306123cc, 0x1061e8e6, 0x30304878, 0x10307919 +}; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) +const q15_t sqrtTable_Q15[256] = { + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x5fff, 0x7fff, 0x5e88, 0x7a39, + 0x5d22, 0x74df, 0x5bcb, 0x6fe6, + 0x5a82, 0x6b45, 0x5947, 0x66f3, + 0x5818, 0x62ea, 0x56f5, 0x5f22, + 0x55dd, 0x5b96, 0x54cf, 0x5842, + 0x53cb, 0x5520, 0x52d0, 0x522c, + 0x51de, 0x4f63, 0x50f4, 0x4cc1, + 0x5011, 0x4a44, 0x4f36, 0x47e8, + 0x4e62, 0x45ac, 0x4d94, 0x438d, + 0x4ccc, 0x4189, 0x4c0b, 0x3f9e, + 0x4b4f, 0x3dca, 0x4a98, 0x3c0d, + 0x49e6, 0x3a64, 0x4939, 0x38ce, + 0x4891, 0x374a, 0x47ee, 0x35d7, + 0x474e, 0x3474, 0x46b3, 0x3320, + 0x461b, 0x31da, 0x4588, 0x30a2, + 0x44f7, 0x2f76, 0x446b, 0x2e56, + 0x43e1, 0x2d41, 0x435b, 0x2c36, + 0x42d8, 0x2b36, 0x4258, 0x2a3f, + 0x41da, 0x2952, 0x4160, 0x286d, + 0x40e8, 0x2790, 0x4072, 0x26ba, + 0x3fff, 0x25ed, 0x3f8f, 0x2526, + 0x3f21, 0x2466, 0x3eb4, 0x23ac, + 0x3e4b, 0x22f8, 0x3de3, 0x224a, + 0x3d7d, 0x21a2, 0x3d19, 0x20ff, + 0x3cb7, 0x2061, 0x3c56, 0x1fc8, + 0x3bf8, 0x1f34, 0x3b9b, 0x1ea4, + 0x3b40, 0x1e18, 0x3ae7, 0x1d91, + 0x3a8f, 0x1d0d, 0x3a38, 0x1c8d, + 0x39e3, 0x1c11, 0x3990, 0x1b98, + 0x393e, 0x1b23, 0x38ed, 0x1ab1, + 0x389e, 0x1a41, 0x384f, 0x19d5, + 0x3803, 0x196c, 0x37b7, 0x1906, + 0x376c, 0x18a2, 0x3723, 0x1840, + 0x36db, 0x17e2, 0x3694, 0x1785, + 0x364e, 0x172b, 0x3609, 0x16d3, + 0x35c5, 0x167e, 0x3582, 0x162a, + 0x3540, 0x15d8, 0x34ff, 0x1589, + 0x34bf, 0x153b, 0x347f, 0x14ef, + 0x3441, 0x14a4, 0x3403, 0x145c, + 0x33c7, 0x1415, 0x338b, 0x13d0, + 0x3350, 0x138c, 0x3316, 0x134a, + 0x32dc, 0x1309, 0x32a3, 0x12c9, + 0x326b, 0x128b, 0x3234, 0x124f, + 0x31fe, 0x1213, 0x31c8, 0x11d9, + 0x3192, 0x11a0, 0x315e, 0x1168, + 0x312a, 0x1131, 0x30f7, 0x10fc, + 0x30c4, 0x10c7, 0x3092, 0x1094, + 0x3061, 0x1061, 0x3030, 0x1030 +}; + #endif +#endif /* defined(ARM_MATH_MVEI) */ + + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */ + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) +const float32_t exp_tab[8] = { + (1.f), + (0.0416598916054f), + (0.500000596046f), + (0.0014122662833f), + (1.00000011921f), + (0.00833693705499f), + (0.166665703058f), + (0.000195780929062f), +}; + +const float32_t __logf_lut_f32[8] = { + -2.295614848256274, /*p0*/ + -2.470711633419806, /*p4*/ + -5.686926051100417, /*p2*/ + -0.165253547131978, /*p6*/ + +5.175912446351073, /*p1*/ + +0.844006986174912, /*p5*/ + +4.584458825456749, /*p3*/ + +0.014127821926000 /*p7*/ +}; + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) + +/* haming weight LUT for bytes */ +#define B2(n) n, n + 1, n + 1, n + 2 +#define B4(n) B2(n) , B2(n + 1), B2(n + 1), B2(n + 2) +#define B6(n) B4(n) , B4(n + 1), B4(n + 1), B4(n + 2) + +// Lookup table that store the reverse of each table +const unsigned char hwLUT[256] = { B6(0), B6(1), B6(1), B6(2) }; + +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/CommonTables/arm_const_structs.c new file mode 100644 index 0000000000..5d3f7aae58 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/CommonTables/arm_const_structs.c @@ -0,0 +1,663 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.c + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_const_structs.h" + +/* +ALLOW TABLE is true when config table is enabled and the Tramsform folder is included +for compilation. +*/ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +/* Floating-point structs */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 = { + 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 = { + 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 = { + 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 = { + 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 = { + 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 = { + 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 = { + 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 = { + 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 = { + 4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH +}; +#endif + +/* Floating-point structs */ +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT F32 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = { + 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH +}; +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = { + 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = { + 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = { + 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = { + 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = { + 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = { + 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = { + 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = { + 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH +}; +#endif + +#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + +/* Fixed-point structs */ + +#if !defined(ARM_MATH_MVEI) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = { + 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = { + 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = { + 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = { + 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = { + 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = { + 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = { + 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = { + 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = { + 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = { + 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = { + 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = { + 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = { + 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = { + 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = { + 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = { + 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = { + 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = { + 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif + +#endif /* !defined(ARM_MATH_MVEI) */ + +/* Structure for real-value inputs */ +/* Double precision strucs */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 = { + { 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH }, + 32U, + (float64_t *)twiddleCoefF64_rfft_32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 = { + { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH }, + 64U, + (float64_t *)twiddleCoefF64_rfft_64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 = { + { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH }, + 128U, + (float64_t *)twiddleCoefF64_rfft_128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 = { + { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH }, + 256U, + (float64_t *)twiddleCoefF64_rfft_256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 = { + { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH }, + 512U, + (float64_t *)twiddleCoefF64_rfft_512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 = { + { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH }, + 1024U, + (float64_t *)twiddleCoefF64_rfft_1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 = { + { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH }, + 2048U, + (float64_t *)twiddleCoefF64_rfft_2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 = { + { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH }, + 4096U, + (float64_t *)twiddleCoefF64_rfft_4096 +}; +#endif + +/* Floating-point structs */ + +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = { + { 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH }, + 32U, + (float32_t *)twiddleCoef_rfft_32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = { + { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH }, + 64U, + (float32_t *)twiddleCoef_rfft_64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = { + { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH }, + 128U, + (float32_t *)twiddleCoef_rfft_128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = { + { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH }, + 256U, + (float32_t *)twiddleCoef_rfft_256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = { + { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH }, + 512U, + (float32_t *)twiddleCoef_rfft_512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = { + { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH }, + 1024U, + (float32_t *)twiddleCoef_rfft_1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = { + { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH }, + 2048U, + (float32_t *)twiddleCoef_rfft_2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = { + { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH }, + 4096U, + (float32_t *)twiddleCoef_rfft_4096 +}; +#endif + +#endif /* #if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + +/* Fixed-point structs */ +/* q31_t */ + +#if !defined(ARM_MATH_MVEI) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = { + 32U, + 0, + 1, + 256U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len16 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = { + 64U, + 0, + 1, + 128U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = { + 128U, + 0, + 1, + 64U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = { + 256U, + 0, + 1, + 32U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = { + 512U, + 0, + 1, + 16U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = { + 1024U, + 0, + 1, + 8U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = { + 2048U, + 0, + 1, + 4U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = { + 4096U, + 0, + 1, + 2U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = { + 8192U, + 0, + 1, + 1U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len4096 +}; +#endif + + + +/* q15_t */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = { + 32U, + 0, + 1, + 256U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len16 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = { + 64U, + 0, + 1, + 128U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = { + 128U, + 0, + 1, + 64U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = { + 256U, + 0, + 1, + 32U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = { + 512U, + 0, + 1, + 16U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = { + 1024U, + 0, + 1, + 8U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = { + 2048U, + 0, + 1, + 4U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = { + 4096U, + 0, + 1, + 2U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = { + 8192U, + 0, + 1, + 1U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len4096 +}; +#endif + +#endif /* !defined(ARM_MATH_MVEI) */ + + +#endif diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c new file mode 100644 index 0000000000..76736d5bf4 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c @@ -0,0 +1,308 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q15.c + * Description: Converts the elements of the floating-point vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + @brief Converts the elements of the floating-point vector to Q15 vector. + @param[in] pSrc points to the floating-point input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.
+
+ + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + + @note + In order to apply rounding, the library should be rebuilt with the ROUNDING macro + defined in the preprocessor section of project options. + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t maxQ = (float32_t) Q15_MAX; + f32x4x2_t tmp; + q15x8_t vecDst; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + tmp = vld2q(pSrc); + + tmp.val[0] = vmulq(tmp.val[0], maxQ); + tmp.val[1] = vmulq(tmp.val[1], maxQ); + + vecDst = vqmovnbq(vecDst, vcvtaq_s32_f32(tmp.val[0])); + vecDst = vqmovntq(vecDst, vcvtaq_s32_f32(tmp.val[1])); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + pDst += 8; + pSrc += 8; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrc++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pSrc++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 32768.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 32768.0f); + float32x4_t r; + uint32x4_t cmp; + float32_t in; + #endif + + int32x4_t cvt; + int16x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + + pIn += 4; + + cvt = vcvtq_n_s32_f32(inV,15); + outV = vqmovn_s32(cvt); + + vst1_s16(pDst, outV); + pDst += 4; + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + + cvt = vcvtq_n_s32_f32(inV,15); + outV = vqmovn_s32(cvt); + + vst1_s16(pDst, outV); + pDst += 4; + pIn += 4; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c new file mode 100644 index 0000000000..802129d568 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_bitreversal2.c + * Description: Bitreversal functions + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + + +/** + @brief In-place 64 bit reversal function. + @param[in,out] pSrc points to in-place buffer of unknown 64-bit data type + @param[in] bitRevLen bit reversal table length + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_64( + uint64_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) +{ + uint64_t a, b, i, tmp; + + for (i = 0; i < bitRevLen; ) + { + a = pBitRevTab[i ] >> 2; + b = pBitRevTab[i + 1] >> 2; + + //real + tmp = pSrc[a]; + pSrc[a] = pSrc[b]; + pSrc[b] = tmp; + + //complex + tmp = pSrc[a+1]; + pSrc[a+1] = pSrc[b+1]; + pSrc[b+1] = tmp; + + i += 2; + } +} + +/** + @brief In-place 32 bit reversal function. + @param[in,out] pSrc points to in-place buffer of unknown 32-bit data type + @param[in] bitRevLen bit reversal table length + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_32( + uint32_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) +{ + uint32_t a, b, i, tmp; + + for (i = 0; i < bitRevLen; ) + { + a = pBitRevTab[i ] >> 2; + b = pBitRevTab[i + 1] >> 2; + + //real + tmp = pSrc[a]; + pSrc[a] = pSrc[b]; + pSrc[b] = tmp; + + //complex + tmp = pSrc[a+1]; + pSrc[a+1] = pSrc[b+1]; + pSrc[b+1] = tmp; + + i += 2; + } +} + + +/** + @brief In-place 16 bit reversal function. + @param[in,out] pSrc points to in-place buffer of unknown 16-bit data type + @param[in] bitRevLen bit reversal table length + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_16( + uint16_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) +{ + uint16_t a, b, i, tmp; + + for (i = 0; i < bitRevLen; ) + { + a = pBitRevTab[i ] >> 2; + b = pBitRevTab[i + 1] >> 2; + + //real + tmp = pSrc[a]; + pSrc[a] = pSrc[b]; + pSrc[b] = tmp; + + //complex + tmp = pSrc[a+1]; + pSrc[a+1] = pSrc[b+1]; + pSrc[b+1] = tmp; + + i += 2; + } +} diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c new file mode 100644 index 0000000000..a25fc824a3 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c @@ -0,0 +1,949 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_q15.c + * Description: Combined Radix Decimation in Q15 Frequency CFFT processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEI) + +#include "arm_vec_fft.h" + + +static void arm_bitreversal_16_inpl_mve( + uint16_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) + +{ + uint32_t *src = (uint32_t *)pSrc; + uint32_t blkCnt; /* loop counters */ + uint32x4_t bitRevTabOff; + uint16x8_t one = vdupq_n_u16(1); + + blkCnt = (bitRevLen / 2) / 4; + while (blkCnt > 0U) { + bitRevTabOff = vldrhq_u16(pBitRevTab); + pBitRevTab += 8; + + uint32x4_t bitRevOff1 = vmullbq_int_u16(bitRevTabOff, one); + uint32x4_t bitRevOff2 = vmulltq_int_u16(bitRevTabOff, one); + + bitRevOff1 = bitRevOff1 >> 3; + bitRevOff2 = bitRevOff2 >> 3; + + uint32x4_t in1 = vldrwq_gather_shifted_offset_u32(src, bitRevOff1); + uint32x4_t in2 = vldrwq_gather_shifted_offset_u32(src, bitRevOff2); + + vstrwq_scatter_shifted_offset_u32(src, bitRevOff1, in2); + vstrwq_scatter_shifted_offset_u32(src, bitRevOff2, in1); + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = bitRevLen & 7; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp16q(blkCnt); + + bitRevTabOff = vldrhq_z_u16(pBitRevTab, p0); + + uint32x4_t bitRevOff1 = vmullbq_int_u16(bitRevTabOff, one); + uint32x4_t bitRevOff2 = vmulltq_int_u16(bitRevTabOff, one); + + bitRevOff1 = bitRevOff1 >> 3; + bitRevOff2 = bitRevOff2 >> 3; + + uint32x4_t in1 = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff1, p0); + uint32x4_t in2 = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff2, p0); + + vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff1, in2, p0); + vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff2, in1, p0); + } +} + +static void _arm_radix4_butterfly_q15_mve( + const arm_cfft_instance_q15 * S, + q15_t *pSrc, + uint32_t fftLen) +{ + q15x8_t vecTmp0, vecTmp1; + q15x8_t vecSum0, vecDiff0, vecSum1, vecDiff1; + q15x8_t vecA, vecB, vecC, vecD; + q15x8_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q15_t *), (4 - 16) * sizeof(q15_t *), + (8 - 16) * sizeof(q15_t *), (12 - 16) * sizeof(q15_t *) + }; + + /* + * Process first stages + * Each stage in middle stages provides two down scaling of the input + */ + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + + for (int k = fftLen / 4u; k > 1; k >>= 2u) + { + for (int i = 0; i < iter; i++) + { + q15_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + q15_t const *pW1, *pW2, *pW3; + q15_t *inA = pSrc + CMPLX_DIM * i * n1; + q15_t *inB = inA + n2 * CMPLX_DIM; + q15_t *inC = inB + n2 * CMPLX_DIM; + q15_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 4; + /* + * load 4 x q15 complex pair + */ + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + while (blkCnt > 0U) + { + vecB = vldrhq_s16(inB); + vecD = vldrhq_s16(inD); + + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vhaddq(vecSum0, vecSum1); + vst1q(inA, vecTmp0); + inA += 8; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vhsubq(vecSum0, vecSum1); + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + + vst1q(inB, vecTmp1); + inB += 8; + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + vst1q(inC, vecTmp1); + inC += 8; + + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + vst1q(inD, vecTmp1); + inD += 8; + + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + blkCnt = (fftLen >> 4); + while (blkCnt > 0U) + { + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecB = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 4); + vecD = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 12); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * pre-load for next iteration + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + vecTmp0 = vhaddq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64, (q15x8_t) vecTmp0); + + vecTmp0 = vhsubq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 4, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 12, (q15x8_t) vecTmp0); + + blkCnt--; + } + +} + +static void arm_cfft_radix4by2_q15_mve(const arm_cfft_instance_q15 *S, q15_t *pSrc, uint32_t fftLen) +{ + uint32_t n2; + q15_t *pIn0; + q15_t *pIn1; + const q15_t *pCoef = S->pTwiddle; + uint32_t blkCnt; + q15x8_t vecIn0, vecIn1, vecSum, vecDiff; + q15x8_t vecCmplxTmp, vecTw; + q15_t const *pCoefVec; + + n2 = fftLen >> 1; + + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + pCoefVec = pCoef; + + blkCnt = n2 / 4; + + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn1 = *(q15x8_t *) pIn1; + + vecIn0 = vecIn0 >> 1; + vecIn1 = vecIn1 >> 1; + vecSum = vhaddq(vecIn0, vecIn1); + vst1q(pIn0, vecSum); + pIn0 += 8; + + vecTw = vld1q(pCoefVec); + pCoefVec += 8; + + vecDiff = vhsubq(vecIn0, vecIn1); + vecCmplxTmp = MVE_CMPLX_MULT_FX_AxConjB(vecDiff, vecTw); + vst1q(pIn1, vecCmplxTmp); + pIn1 += 8; + + blkCnt--; + } + + _arm_radix4_butterfly_q15_mve(S, pSrc, n2); + + _arm_radix4_butterfly_q15_mve(S, pSrc + fftLen, n2); + + + pIn0 = pSrc; + blkCnt = (fftLen << 1) >> 3; + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vst1q(pIn0, vecIn0); + pIn0 += 8; + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (fftLen << 1) & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vstrhq_p(pIn0, vecIn0, p0); + } +} + +static void _arm_radix4_butterfly_inverse_q15_mve(const arm_cfft_instance_q15 *S,q15_t *pSrc, uint32_t fftLen) +{ + q15x8_t vecTmp0, vecTmp1; + q15x8_t vecSum0, vecDiff0, vecSum1, vecDiff1; + q15x8_t vecA, vecB, vecC, vecD; + q15x8_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q15_t *), (4 - 16) * sizeof(q15_t *), + (8 - 16) * sizeof(q15_t *), (12 - 16) * sizeof(q15_t *) + }; + + + /* + * Process first stages + * Each stage in middle stages provides two down scaling of the input + */ + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + + for (int k = fftLen / 4u; k > 1; k >>= 2u) + { + for (int i = 0; i < iter; i++) + { + q15_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + q15_t const *pW1, *pW2, *pW3; + q15_t *inA = pSrc + CMPLX_DIM * i * n1; + q15_t *inB = inA + n2 * CMPLX_DIM; + q15_t *inC = inB + n2 * CMPLX_DIM; + q15_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 4; + /* + * load 4 x q15 complex pair + */ + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + while (blkCnt > 0U) + { + vecB = vldrhq_s16(inB); + vecD = vldrhq_s16(inD); + + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vhaddq(vecSum0, vecSum1); + vst1q(inA, vecTmp0); + inA += 8; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vhsubq(vecSum0, vecSum1); + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + + vst1q(inB, vecTmp1); + inB += 8; + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + vst1q(inC, vecTmp1); + inC += 8; + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + vst1q(inD, vecTmp1); + inD += 8; + + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + blkCnt = (fftLen >> 4); + while (blkCnt > 0U) + { + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecB = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 4); + vecD = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 12); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * pre-load for next iteration + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + vecTmp0 = vhaddq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64, (q15x8_t) vecTmp0); + + vecTmp0 = vhsubq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 4, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 12, (q15x8_t) vecTmp0); + + blkCnt--; + } +} + +static void arm_cfft_radix4by2_inverse_q15_mve(const arm_cfft_instance_q15 *S, q15_t *pSrc, uint32_t fftLen) +{ + uint32_t n2; + q15_t *pIn0; + q15_t *pIn1; + const q15_t *pCoef = S->pTwiddle; + + uint32_t blkCnt; + q15x8_t vecIn0, vecIn1, vecSum, vecDiff; + q15x8_t vecCmplxTmp, vecTw; + q15_t const *pCoefVec; + + n2 = fftLen >> 1; + + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + pCoefVec = pCoef; + + blkCnt = n2 / 4; + + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn1 = *(q15x8_t *) pIn1; + + vecIn0 = vecIn0 >> 1; + vecIn1 = vecIn1 >> 1; + vecSum = vhaddq(vecIn0, vecIn1); + vst1q(pIn0, vecSum); + pIn0 += 8; + + vecTw = vld1q(pCoefVec); + pCoefVec += 8; + + vecDiff = vhsubq(vecIn0, vecIn1); + vecCmplxTmp = vqrdmlsdhq(vuninitializedq_s16() , vecDiff, vecTw); + vecCmplxTmp = vqrdmladhxq(vecCmplxTmp, vecDiff, vecTw); + vst1q(pIn1, vecCmplxTmp); + pIn1 += 8; + + blkCnt--; + } + + + _arm_radix4_butterfly_inverse_q15_mve(S, pSrc, n2); + + _arm_radix4_butterfly_inverse_q15_mve(S, pSrc + fftLen, n2); + + pIn0 = pSrc; + blkCnt = (fftLen << 1) >> 3; + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vst1q(pIn0, vecIn0); + pIn0 += 8; + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (fftLen << 1) & 7; + while (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vstrhq_p(pIn0, vecIn0, p0); + } +} + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for Q15 complex FFT. + @param[in] S points to an instance of Q15 CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * pSrc, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t fftLen = S->fftLen; + + if (ifftFlag == 1U) { + + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_inverse_q15_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q15_mve(S, pSrc, fftLen); + break; + } + } else { + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_q15_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q15_mve(S, pSrc, fftLen); + break; + } + } + + + if (bitReverseFlag) + { + + arm_bitreversal_16_inpl_mve((uint16_t*)pSrc, S->bitRevLength, S->pBitRevTable); + + } +} + +#else + +extern void arm_radix4_butterfly_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_bitreversal_16( + uint16_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +void arm_cfft_radix4by2_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef); + +void arm_cfft_radix4by2_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for Q15 complex FFT. + @param[in] S points to an instance of Q15 CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen; + + if (ifftFlag == 1U) + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle ); + break; + } + } + else + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle ); + break; + } + } + + if ( bitReverseFlag ) + arm_bitreversal_16 ((uint16_t*) p1, S->bitRevLength, S->pBitRevTable); +} + +/** + @} end of ComplexFFT group + */ + +void arm_cfft_radix4by2_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef) +{ + uint32_t i; + uint32_t n2; + q15_t p0, p1, p2, p3; +#if defined (ARM_MATH_DSP) + q31_t T, S, R; + q31_t coeff, out1, out2; + const q15_t *pC = pCoef; + q15_t *pSi = pSrc; + q15_t *pSl = pSrc + fftLen; +#else + uint32_t l; + q15_t xt, yt, cosVal, sinVal; +#endif + + n2 = fftLen >> 1U; + +#if defined (ARM_MATH_DSP) + + for (i = n2; i > 0; i--) + { + coeff = read_q15x2_ia ((q15_t **) &pC); + + T = read_q15x2 (pSi); + T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + S = read_q15x2 (pSl); + S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + R = __QSUB16(T, S); + + write_q15x2_ia (&pSi, __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(coeff, R) >> 16U; + out2 = __SMUSDX(coeff, R); +#else + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + } + +#else /* #if defined (ARM_MATH_DSP) */ + + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2 * i]; + sinVal = pCoef[2 * i + 1]; + + l = i + n2; + + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16U)) ); + + pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16U)) ); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* first col */ + arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2U); + + /* second col */ + arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U); + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + p0 = pSrc[4 * i + 0]; + p1 = pSrc[4 * i + 1]; + p2 = pSrc[4 * i + 2]; + p3 = pSrc[4 * i + 3]; + + p0 <<= 1U; + p1 <<= 1U; + p2 <<= 1U; + p3 <<= 1U; + + pSrc[4 * i + 0] = p0; + pSrc[4 * i + 1] = p1; + pSrc[4 * i + 2] = p2; + pSrc[4 * i + 3] = p3; + } + +} + +void arm_cfft_radix4by2_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef) +{ + uint32_t i; + uint32_t n2; + q15_t p0, p1, p2, p3; +#if defined (ARM_MATH_DSP) + q31_t T, S, R; + q31_t coeff, out1, out2; + const q15_t *pC = pCoef; + q15_t *pSi = pSrc; + q15_t *pSl = pSrc + fftLen; +#else + uint32_t l; + q15_t xt, yt, cosVal, sinVal; +#endif + + n2 = fftLen >> 1U; + +#if defined (ARM_MATH_DSP) + + for (i = n2; i > 0; i--) + { + coeff = read_q15x2_ia ((q15_t **) &pC); + + T = read_q15x2 (pSi); + T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + S = read_q15x2 (pSl); + S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + R = __QSUB16(T, S); + + write_q15x2_ia (&pSi, __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(coeff, R) >> 16U; + out2 = __SMUADX(coeff, R); +#else + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + } + +#else /* #if defined (ARM_MATH_DSP) */ + + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2 * i]; + sinVal = pCoef[2 * i + 1]; + + l = i + n2; + + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16U)) ); + + pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16U)) ); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* first col */ + arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2U); + + /* second col */ + arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U); + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + p0 = pSrc[4 * i + 0]; + p1 = pSrc[4 * i + 1]; + p2 = pSrc[4 * i + 2]; + p3 = pSrc[4 * i + 3]; + + p0 <<= 1U; + p1 <<= 1U; + p2 <<= 1U; + p3 <<= 1U; + + pSrc[4 * i + 0] = p0; + pSrc[4 * i + 1] = p1; + pSrc[4 * i + 2] = p2; + pSrc[4 * i + 3] = p3; + } +} + +#endif /* defined(ARM_MATH_MVEI) */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c new file mode 100644 index 0000000000..f02d19894e --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c @@ -0,0 +1,1809 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_q15.c + * Description: This file has function definition of Radix-4 FFT & IFFT function and + * In-place bit reversal using bit reversal table + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +void arm_radix4_butterfly_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier); + +void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier); + +void arm_bitreversal_q15( + q15_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + + +/** + @brief Processing function for the Q15 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future. + @param[in] S points to an instance of the Q15 CFFT/CIFFT structure. + @param[in,out] pSrc points to the complex data buffer. Processing occurs in-place. + @return none + + @par Input and output formats: + Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + Hence the output format is different for different FFT sizes. + The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: + @par + \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT" + \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT" + */ + +void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + //arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** + @} end of ComplexFFT group + */ + +/* + * Radix-4 FFT algorithm used is : + * + * Input real and imaginary data: + * x(n) = xa + j * ya + * x(n+N/4 ) = xb + j * yb + * x(n+N/2 ) = xc + j * yc + * x(n+3N 4) = xd + j * yd + * + * + * Output real and imaginary data: + * x(4r) = xa'+ j * ya' + * x(4r+1) = xb'+ j * yb' + * x(4r+2) = xc'+ j * yc' + * x(4r+3) = xd'+ j * yd' + * + * + * Twiddle factors for radix-4 FFT: + * Wn = co1 + j * (- si1) + * W2n = co2 + j * (- si2) + * W3n = co3 + j * (- si3) + + * The real and imaginary output values for the radix-4 butterfly are + * xa' = xa + xb + xc + xd + * ya' = ya + yb + yc + yd + * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) + * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) + * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) + * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) + * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) + * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) + * + */ + +/** + @brief Core function for the Q15 CFFT butterfly process. + @param[in,out] pSrc16 points to the in-place buffer of Q15 data type + @param[in] fftLen length of the FFT + @param[in] pCoef16 points to twiddle coefficient buffer + @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + */ + +void arm_radix4_butterfly_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier) +{ + +#if defined (ARM_MATH_DSP) + + q31_t R, S, T, U; + q31_t C1, C2, C3, out1, out2; + uint32_t n1, n2, ic, i0, j, k; + + q15_t *ptr1; + q15_t *pSi0; + q15_t *pSi1; + q15_t *pSi2; + q15_t *pSi3; + + q31_t xaya, xbyb, xcyc, xdyd; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + j = n2; + + pSi0 = pSrc16; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */ + T = __SHADD16(T, 0); /* it turns out doing this twice is 2 cycles, the alternative takes 3 cycles */ +/* + in = ((int16_t) (T & 0xFFFF)) >> 2; // alternative code that takes 3 cycles + T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); +*/ + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + S = __SHADD16(S, 0); + S = __SHADD16(S, 0); + + /* R = packed((ya + yc), (xa + xc) ) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc) ) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed((yb + yd), (xb + xd) ) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&pSi0, __SHADD16(R, T)); + + /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ + R = __QSUB16(R, T); + + /* co2 & si2 are read from SIMD Coefficient pointer */ + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = __SMUAD(C2, R) >> 16U; + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUSDX(C2, R); +#else + /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUSDX(R, C2) >> 16U; + /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out2 = __SMUAD(C2, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+fftLen/4 */ + /* T = packed(yb, xb) */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Butterfly calculations */ + /* U = packed(yd, xd) */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QASX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QSAX(S, T); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QSAX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QASX(S, T); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* co1 & si1 are read from SIMD Coefficient pointer */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + /* Butterfly process for the i0+fftLen/2 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = __SMUAD(C1, S) >> 16U; + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = __SMUSDX(C1, S); +#else + /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out1 = __SMUSDX(S, C1) >> 16U; + /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out2 = __SMUAD(C1, S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xb', yb') in little endian format */ + write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF)); + + /* co3 & si3 are read from SIMD Coefficient pointer */ + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out1 = __SMUAD(C3, R) >> 16U; + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out2 = __SMUSDX(C3, R); +#else + /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out1 = __SMUSDX(R, C3) >> 16U; + /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out2 = __SMUAD(C3, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xd', yd') in little endian format */ + write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + pSi0 = pSrc16 + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + + /* R = packed( (ya + yc), (xa + xc)) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed( (yb + yd), (xb + xd)) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = __SHADD16(R, T); + out1 = __SHADD16(out1, 0); + write_q15x2 (pSi0, out1); + pSi0 += 2 * n1; + + /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ + R = __SHSUB16(R, T); + +#ifndef ARM_MATH_BIG_ENDIAN + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = __SMUAD(C2, R) >> 16U; + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUSDX(C2, R); +#else + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUSDX(R, C2) >> 16U; + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out2 = __SMUAD(C2, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi1 += 2 * n1; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHASX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHSAX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUAD(C1, S) >> 16U; + out2 = __SMUSDX(C1, S); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHSAX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHASX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUSDX(S, C1) >> 16U; + out2 = __SMUAD(C1, S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi2 += 2 * n1; + + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(C3, R) >> 16U; + out2 = __SMUSDX(C3, R); +#else + out1 = __SMUSDX(R, C3) >> 16U; + out2 = __SMUAD(C3, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi3 += 2 * n1; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + j = fftLen >> 2; + + ptr1 = &pSrc16[0]; + + /* start of last stage process */ + + /* Butterfly implementation */ + do + { + /* Read xa (real), ya(imag) input */ + xaya = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xb (real), yb(imag) input */ + xbyb = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xc (real), yc(imag) input */ + xcyc = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xd (real), yd(imag) input */ + xdyd = read_q15x2_ia ((q15_t **) &ptr1); + + /* R = packed((ya + yc), (xa + xc)) */ + R = __QADD16(xaya, xcyc); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&ptr1, __SHADD16(R, T)); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + write_q15x2_ia (&ptr1, __SHSUB16(R, T)); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(xaya, xcyc); + + /* Read yd (real), xd(imag) input */ + /* T = packed( (yb - yd), (xb - xd)) */ + U = __QSUB16(xbyb, xdyd); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); +#else + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } while (--j); + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + + +#else /* #if defined (ARM_MATH_DSP) */ + + q15_t R0, R1, S0, S1, T0, T1, U0, U1; + q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; + uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + i0 = 0U; + j = n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + + /* input is down scale by 4 to avoid overflow */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U] >> 2U; + T1 = pSrc16[(i0 * 2U) + 1U] >> 2U; + + /* input is down scale by 4 to avoid overflow */ + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U] >> 2U; + S1 = pSrc16[(i2 * 2U) + 1U] >> 2U; + + /* R0 = (ya + yc) */ + R0 = __SSAT(T0 + S0, 16U); + /* R1 = (xa + xc) */ + R1 = __SSAT(T1 + S1, 16U); + + /* S0 = (ya - yc) */ + S0 = __SSAT(T0 - S0, 16); + /* S1 = (xa - xc) */ + S1 = __SSAT(T1 - S1, 16); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + + /* input is down scale by 4 to avoid overflow */ + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1] >> 2U; + + /* T0 = (yb + yd) */ + T0 = __SSAT(T0 + U0, 16U); + /* T1 = (xb + xd) */ + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* ya' = ya + yb + yc + yd */ + /* xa' = xa + xb + xc + xd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd) */ + /* R1 = (xa + xc) - (xb + xd) */ + R0 = __SSAT(R0 - T0, 16U); + R1 = __SSAT(R1 - T1, 16U); + + /* co2 & si2 are read from Coefficient pointer */ + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[(2U * ic * 2U) + 1]; + + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U); + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+fftLen/4 */ + /* input is down scale by 4 to avoid overflow */ + /* T0 = yb, T1 = xb */ + T0 = pSrc16[i1 * 2U] >> 2; + T1 = pSrc16[(i1 * 2U) + 1] >> 2; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1] = out2; + + /* Butterfly calculations */ + /* input is down scale by 4 to avoid overflow */ + /* U0 = yd, U1 = xd */ + U0 = pSrc16[i3 * 2U] >> 2; + U1 = pSrc16[(i3 * 2U) + 1] >> 2; + /* T0 = yb-yd */ + T0 = __SSAT(T0 - U0, 16); + /* T1 = xb-xd */ + T1 = __SSAT(T1 - U1, 16); + + /* R1 = (ya-yc) + (xb- xd), R0 = (xa-xc) - (yb-yd)) */ + R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16); + R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16); + + /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */ + S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16U); + S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16U); + + /* co1 & si1 are read from Coefficient pointer */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1]; + /* Butterfly process for the i0+fftLen/2 sample */ + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16); + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16); + + /* writing output(xb', yb') in little endian format */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1] = out2; + + /* Co3 & si3 are read from Coefficient pointer */ + Co3 = pCoef16[3U * (ic * 2U)]; + Si3 = pCoef16[(3U * (ic * 2U)) + 1]; + /* Butterfly process for the i0+3fftLen/4 sample */ + /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ + out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U); + /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ + out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U); + /* writing output(xd', yd') in little endian format */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1] = out2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + Co2 = pCoef16[2U * (ic * 2U)]; + Si2 = pCoef16[(2U * (ic * 2U)) + 1U]; + Co3 = pCoef16[3U * (ic * 2U)]; + Si3 = pCoef16[(3U * (ic * 2U)) + 1U]; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16); + R1 = __SSAT(T1 + S1, 16); + + /* S0 = (ya - yc), S1 =(xa - xc) */ + S0 = __SSAT(T0 - S0, 16); + S1 = __SSAT(T1 - S1, 16); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16); + T1 = __SSAT(T1 + U1, 16); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = ((R0 >> 1U) + (T0 >> 1U)) >> 1U; + out2 = ((R1 >> 1U) + (T1 >> 1U)) >> 1U; + + pSrc16[i0 * 2U] = out1; + pSrc16[(2U * i0) + 1U] = out2; + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U); + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = yb-yd, T1 = xb-xd */ + T0 = __SSAT(T0 - U0, 16); + T1 = __SSAT(T1 - U1, 16); + + /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */ + R0 = (S0 >> 1U) - (T1 >> 1U); + R1 = (S1 >> 1U) + (T0 >> 1U); + + /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */ + S0 = (S0 >> 1U) + (T1 >> 1U); + S1 = (S1 >> 1U) - (T0 >> 1U); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16U); + + out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16U); + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Butterfly process for the i0+3fftLen/4 sample */ + out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U); + + out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U); + /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + n1 = n2; + n2 >>= 2U; + + /* start of last stage process */ + + /* Butterfly implementation */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd)) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + pSrc16[i1 * 2U] = R0; + pSrc16[(i1 * 2U) + 1U] = R1; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + /* T0 = (yb - yd), T1 = (xb - xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* writing the butterfly processed i0 + fftLen/2 sample */ + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + pSrc16[i2 * 2U] = (S0 >> 1U) + (T1 >> 1U); + pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U); + + /* writing the butterfly processed i0 + 3fftLen/4 sample */ + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + pSrc16[i3 * 2U] = (S0 >> 1U) - (T1 >> 1U); + pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U); + + } + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +/** + @brief Core function for the Q15 CIFFT butterfly process. + @param[in,out] pSrc16 points to the in-place buffer of Q15 data type + @param[in] fftLen length of the FFT + @param[in] pCoef16 points to twiddle coefficient buffer + @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + @return none + */ + +/* + * Radix-4 IFFT algorithm used is : + * + * CIFFT uses same twiddle coefficients as CFFT function + * x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] + * + * + * IFFT is implemented with following changes in equations from FFT + * + * Input real and imaginary data: + * x(n) = xa + j * ya + * x(n+N/4 ) = xb + j * yb + * x(n+N/2 ) = xc + j * yc + * x(n+3N 4) = xd + j * yd + * + * + * Output real and imaginary data: + * x(4r) = xa'+ j * ya' + * x(4r+1) = xb'+ j * yb' + * x(4r+2) = xc'+ j * yc' + * x(4r+3) = xd'+ j * yd' + * + * + * Twiddle factors for radix-4 IFFT: + * Wn = co1 + j * (si1) + * W2n = co2 + j * (si2) + * W3n = co3 + j * (si3) + + * The real and imaginary output values for the radix-4 butterfly are + * xa' = xa + xb + xc + xd + * ya' = ya + yb + yc + yd + * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) + * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) + * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) + * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) + * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) + * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) + * + */ + +void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier) +{ + +#if defined (ARM_MATH_DSP) + + q31_t R, S, T, U; + q31_t C1, C2, C3, out1, out2; + uint32_t n1, n2, ic, i0, j, k; + + q15_t *ptr1; + q15_t *pSi0; + q15_t *pSi1; + q15_t *pSi2; + q15_t *pSi3; + + q31_t xaya, xbyb, xcyc, xdyd; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + j = n2; + + pSi0 = pSrc16; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + S = __SHADD16(S, 0); + S = __SHADD16(S, 0); + + /* R = packed((ya + yc), (xa + xc) ) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc) ) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed((yb + yd), (xb + xd) ) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&pSi0, __SHADD16(R, T)); + + /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ + R = __QSUB16(R, T); + + /* co2 & si2 are read from SIMD Coefficient pointer */ + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = __SMUSD(C2, R) >> 16U; + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUADX(C2, R); +#else + /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUADX(C2, R) >> 16U; + /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out2 = __SMUSD(__QSUB16(0, C2), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+fftLen/4 */ + /* T = packed(yb, xb) */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Butterfly calculations */ + /* U = packed(yd, xd) */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QSAX(S, T); + /* S = packed((ya-yc) + (xb- xd), (xa-xc) - (yb-yd)) */ + S = __QASX(S, T); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QASX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QSAX(S, T); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* co1 & si1 are read from SIMD Coefficient pointer */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + /* Butterfly process for the i0+fftLen/2 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = __SMUSD(C1, S) >> 16U; + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = __SMUADX(C1, S); +#else + /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out1 = __SMUADX(C1, S) >> 16U; + /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out2 = __SMUSD(__QSUB16(0, C1), S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xb', yb') in little endian format */ + write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF)); + + /* co3 & si3 are read from SIMD Coefficient pointer */ + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out1 = __SMUSD(C3, R) >> 16U; + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out2 = __SMUADX(C3, R); +#else + /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out1 = __SMUADX(C3, R) >> 16U; + /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out2 = __SMUSD(__QSUB16(0, C3), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xd', yd') in little endian format */ + write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + pSi0 = pSrc16 + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + + /* R = packed( (ya + yc), (xa + xc)) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed( (yb + yd), (xb + xd)) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = __SHADD16(R, T); + out1 = __SHADD16(out1, 0); + write_q15x2 (pSi0, out1); + pSi0 += 2 * n1; + + /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ + R = __SHSUB16(R, T); + +#ifndef ARM_MATH_BIG_ENDIAN + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = __SMUSD(C2, R) >> 16U; + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUADX(C2, R); +#else + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUADX(R, C2) >> 16U; + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out2 = __SMUSD(__QSUB16(0, C2), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi1 += 2 * n1; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHSAX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHASX(S, T); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUSD(C1, S) >> 16U; + out2 = __SMUADX(C1, S); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHASX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHSAX(S, T); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUADX(S, C1) >> 16U; + out2 = __SMUSD(__QSUB16(0, C1), S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi2 += 2 * n1; + + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(C3, R) >> 16U; + out2 = __SMUADX(C3, R); +#else + out1 = __SMUADX(C3, R) >> 16U; + out2 = __SMUSD(__QSUB16(0, C3), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi3 += 2 * n1; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + j = fftLen >> 2; + + ptr1 = &pSrc16[0]; + + /* start of last stage process */ + + /* Butterfly implementation */ + do + { + /* Read xa (real), ya(imag) input */ + xaya = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xb (real), yb(imag) input */ + xbyb = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xc (real), yc(imag) input */ + xcyc = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xd (real), yd(imag) input */ + xdyd = read_q15x2_ia ((q15_t **) &ptr1); + + /* R = packed((ya + yc), (xa + xc)) */ + R = __QADD16(xaya, xcyc); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&ptr1, __SHADD16(R, T)); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + write_q15x2_ia (&ptr1, __SHSUB16(R, T)); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(xaya, xcyc); + + /* Read yd (real), xd(imag) input */ + /* T = packed( (yb - yd), (xb - xd)) */ + U = __QSUB16(xbyb, xdyd); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); +#else + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } while (--j); + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + + +#else /* arm_radix4_butterfly_inverse_q15 */ + + q15_t R0, R1, S0, S1, T0, T1, U0, U1; + q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; + uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + i0 = 0U; + + j = n2; + + /* Input is in 1.15(q15) format */ + + /* Start of first stage process */ + do + { + /* Butterfly implementation */ + + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U] >> 2U; + T1 = pSrc16[(i0 * 2U) + 1U] >> 2U; + /* input is down scale by 4 to avoid overflow */ + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U] >> 2U; + S1 = pSrc16[(i2 * 2U) + 1U] >> 2U; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + /* Read yd (real), xd(imag) input */ + /* input is down scale by 4 to avoid overflow */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1U] >> 2U; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */ + R0 = __SSAT(R0 - T0, 16U); + R1 = __SSAT(R1 - T1, 16U); + /* co2 & si2 are read from Coefficient pointer */ + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[(2U * ic * 2U) + 1U]; + /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ + out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16U); + /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+fftLen/4 */ + /* input is down scale by 4 to avoid overflow */ + /* T0 = yb, T1 = xb */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + /* input is down scale by 4 to avoid overflow */ + /* U0 = yd, U1 = xd) */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1U] >> 2U; + + /* T0 = yb-yd, T1 = xb-xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ + R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16); + R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16); + /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ + S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16); + S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16); + + /* co1 & si1 are read from Coefficient pointer */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + /* Butterfly process for the i0+fftLen/2 sample */ + /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ + out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U); + /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ + out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U); + /* writing output(xb', yb') in little endian format */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Co3 & si3 are read from Coefficient pointer */ + Co3 = pCoef16[3U * ic * 2U]; + Si3 = pCoef16[(3U * ic * 2U) + 1U]; + /* Butterfly process for the i0+3fftLen/4 sample */ + /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ + out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U); + /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ + out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U); + /* writing output(xd', yd') in little endian format */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* End of first stage process */ + + /* data is in 4.11(q11) format */ + + + /* Start of Middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[2U * ic * 2U + 1U]; + Co3 = pCoef16[3U * ic * 2U]; + Si3 = pCoef16[(3U * ic * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = ((R0 >> 1U) + (T0 >> 1U)) >> 1U; + pSrc16[(i0 * 2U) + 1U] = ((R1 >> 1U) + (T1 >> 1U)) >> 1U; + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */ + out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16); + /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16); + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = yb-yd, T1 = xb-xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ + R0 = (S0 >> 1U) + (T1 >> 1U); + R1 = (S1 >> 1U) - (T0 >> 1U); + + /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ + S0 = (S0 >> 1U) - (T1 >> 1U); + S1 = (S1 >> 1U) + (T0 >> 1U); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U); + out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U); + /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ + /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Butterfly process for the i0+3fftLen/4 sample */ + out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U); + + out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U); + /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ + /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + + + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* End of Middle stages process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* start of last stage process */ + + + /* Initializations for the last stage */ + n1 = n2; + n2 >>= 2U; + + /* Butterfly implementation */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + pSrc16[i1 * 2U] = R0; + pSrc16[(i1 * 2U) + 1U] = R1; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + /* T0 = (yb - yd), T1 = (xb - xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* writing the butterfly processed i0 + fftLen/2 sample */ + /* xb' = (xa-yb-xc+yd) */ + /* yb' = (ya+xb-yc-xd) */ + pSrc16[i2 * 2U] = (S0 >> 1U) - (T1 >> 1U); + pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U); + + + /* writing the butterfly processed i0 + 3fftLen/4 sample */ + /* xd' = (xa+yb-xc-yd) */ + /* yd' = (ya-xb-yc+xd) */ + pSrc16[i3 * 2U] = (S0 >> 1U) + (T1 >> 1U); + pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U); + } + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + +#endif /* #if defined (ARM_MATH_DSP) */ + +} diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c new file mode 100644 index 0000000000..11e175cf68 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c @@ -0,0 +1,239 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_q15.c + * Description: RFFT & RIFFT Q15 initialisation function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Initialization function for the Q15 RFFT/RIFFT. + @param[in,out] S points to an instance of the Q15 RFFT/RIFFT structure + @param[in] fftLenReal length of the FFT + @param[in] ifftFlagR flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length + + @par Details + The parameter fftLenReal specifies length of RFFT/RIFFT Process. + Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. + @par + The parameter ifftFlagR controls whether a forward or inverse transform is computed. + Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + This function also initializes Twiddle factor table. + */ + +arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (q15_t *) realCoefAQ15; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (q15_t *) realCoefBQ15; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initialization of coef modifier depending on the FFT length */ + switch (S->fftLenReal) + { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) + case 8192U: + S->twidCoefRModifier = 1U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),4096); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len4096; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) + case 4096U: + S->twidCoefRModifier = 2U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),2048); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len2048; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) + case 2048U: + S->twidCoefRModifier = 4U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),1024); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len1024; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) + case 1024U: + S->twidCoefRModifier = 8U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),512); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len512; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) + case 512U: + S->twidCoefRModifier = 16U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),256); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len256; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) + case 256U: + S->twidCoefRModifier = 32U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),128); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len128; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) + case 128U: + S->twidCoefRModifier = 64U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),64); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len64; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) + case 64U: + S->twidCoefRModifier = 128U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),32); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len32; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) + case 32U: + S->twidCoefRModifier = 256U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),16); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len16; + #endif + break; +#endif + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* return the status of RFFT Init function */ + return (status); +} + +/** + @} end of RealFFT group + */ diff --git a/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c new file mode 100644 index 0000000000..8f19e8de65 --- /dev/null +++ b/src/modules/gyro_fft/CMSIS_5/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c @@ -0,0 +1,592 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_q15.c + * Description: RFFT & RIFFT Q15 process function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier); + +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier); + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Processing function for the Q15 RFFT/RIFFT. + @param[in] S points to an instance of the Q15 RFFT/RIFFT structure + @param[in] pSrc points to input buffer (Source buffer is modified by this function.) + @param[out] pDst points to output buffer + @return none + + @par Input an output formats + Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + Hence the output format is different for different RFFT sizes. + The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: + @par + \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT" + @par + \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT" + @par + If the input buffer is of length N, the output buffer must have length 2*N. + The input buffer is modified by this function. + */ + +void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst) +{ +#if defined(ARM_MATH_MVEI) + const arm_cfft_instance_q15 *S_CFFT = &(S->cfftInst); +#else + const arm_cfft_instance_q15 *S_CFFT = S->pCfft; +#endif + uint32_t L2 = S->fftLenReal >> 1U; + uint32_t i; + + /* Calculation of RIFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + /* Complex IFFT process */ + arm_cfft_q15 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR); + + for(i = 0; i < S->fftLenReal; i++) + { + pDst[i] = pDst[i] << 1U; + } + } + else + { + /* Calculation of RFFT of input */ + + /* Complex FFT process */ + arm_cfft_q15 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR); + + /* Real FFT core process */ + arm_split_rfft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } + +} + +/** + @} end of RealFFT group + */ + +/** + @brief Core Real FFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + + @par + The function implements a Real FFT + */ + +#if defined(ARM_MATH_MVEI) +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + q15_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U - 14]; /* temp pointers for output buffer */ + q15_t const *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U - 14]; /* temp pointers for input buffer */ + q15_t const *pVecSrc1; + q15_t *pVecDst1; + q15x8x2_t vecIn, vecSum; + uint32_t blkCnt; + uint16x8_t vecStridesFwd, vecStridesBkwd; + q15x8_t vecInBkwd, vecCoefFwd0, vecCoefFwd1; + + /* + * Init coefficient pointers + */ + pCoefA = &pATable[modifier * 2U]; + pCoefB = &pBTable[modifier * 2U]; + /* + * scatter / gather offsets + * for ascending & descending addressing + */ + vecStridesFwd = vidupq_u16((uint32_t)0, 2); // 0, 2, 4, 6, 8, 10, 12, 14 + vecStridesBkwd = vddupq_u16(14, 2); // 14, 12, 10, 8, 6, 4, 2, 0 + vecStridesFwd = vecStridesFwd * (uint16_t) modifier; + + pVecSrc1 = (q15_t const *) pSrc1; + pVecDst1 = pDst1; + + blkCnt = fftLen >> 3; + while (blkCnt > 0U) + { + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefA, vecStridesFwd); + vecCoefFwd1 = vldrhq_gather_shifted_offset(&pCoefA[1], vecStridesFwd); + vecIn = vld2q(pVecSrc1); + pVecSrc1 += 16; + /* + * outR = *pSrc1 * CoefA1; + */ + vecSum.val[0] = vrmulhq(vecIn.val[0], vecCoefFwd0); + /* + * outI = *pSrc1++ * CoefA2; + */ + vecSum.val[1] = vrmulhq(vecIn.val[0], vecCoefFwd1); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outR -= (*pSrc1 + *pSrc2) * CoefA2; + */ + vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd); + vecSum.val[0] = vqsubq(vecSum.val[0], vrmulhq(vecInBkwd, vecCoefFwd1)); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outI += *pSrc1++ * CoefA1; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vrmulhq(vecIn.val[1], vecCoefFwd0)); + + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefB, vecStridesFwd); + /* + * outI -= *pSrc2-- * CoefB1; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vrmulhq(vecInBkwd, vecCoefFwd0)); + + vecInBkwd = vldrhq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd); + /* + * outI -= *pSrc2 * CoefA2; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vrmulhq(vecInBkwd, vecCoefFwd1)); + /* + * outR += *pSrc2-- * CoefB1; + */ + vecSum.val[0] = vqaddq(vecSum.val[0], vrmulhq(vecInBkwd, vecCoefFwd0)); + + vst2q(pVecDst1, vecSum); + pVecDst1 += 16; + /* + * write complex conjugate output + */ + vecSum.val[1] = -vecSum.val[1]; + vstrhq_scatter_shifted_offset(pDst2, vecStridesBkwd, vecSum.val[1]); + vstrhq_scatter_shifted_offset(&pDst2[-1], vecStridesBkwd, vecSum.val[0]); + /* + * update fwd and backwd offsets + */ + vecStridesFwd = vecStridesFwd + (uint16_t)(modifier * 16U); + /* cannot use negative 16-bit offsets (would lead to positive 32-65K jump*/ + //vecStridesBkwd = vecStridesBkwd - (uint16_t)16; + pSrc2 = pSrc2 - 16; + pDst2 = pDst2 - 16; + + blkCnt--; + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[(2U * fftLen) + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; +} +#else +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + const q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pSrc1, *pSrc2; +#if defined (ARM_MATH_DSP) + q15_t *pD1, *pD2; +#endif + + /* Init coefficient pointers */ + pCoefA = &pATable[modifier * 2]; + pCoefB = &pBTable[modifier * 2]; + + pSrc1 = &pSrc[2]; + pSrc2 = &pSrc[(2U * fftLen) - 2U]; + +#if defined (ARM_MATH_DSP) + + i = 1U; + pD1 = pDst + 2; + pD2 = pDst + (4U * fftLen) - 2; + + for (i = fftLen - 1; i > 0; i--) + { + /* + outR = ( pSrc[2 * i] * pATable[2 * i] + - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]) + */ + + +#ifndef ARM_MATH_BIG_ENDIAN + /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */ + outR = __SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA)); +#else + /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */ + outR = -(__SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA))); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* pSrc[2 * n - 2 * i] * pBTable[2 * i] + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ + outR = __SMLAD(read_q15x2 (pSrc2), read_q15x2((q15_t *) pCoefB), outR) >> 16U; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ +#ifndef ARM_MATH_BIG_ENDIAN + outI = __SMUSDX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB)); +#else + outI = __SMUSDX(read_q15x2 ((q15_t *) pCoefB), read_q15x2_da (&pSrc2)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */ + outI = __SMLADX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), outI); + + /* write output */ + *pD1++ = (q15_t) outR; + *pD1++ = outI >> 16U; + + /* write complex conjugate output */ + pD2[0] = (q15_t) outR; + pD2[1] = -(outI >> 16U); + pD2 -= 2; + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1U; + pDst[2U * fftLen + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1U; + pDst[1] = 0; + +#else + + i = 1U; + + while (i < fftLen) + { + /* + outR = ( pSrc[2 * i] * pATable[2 * i] + - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + outR = *pSrc1 * *pCoefA; + outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1)); + outR = outR + (*pSrc2 * *pCoefB); + outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16; + + /* + outI = ( pIn[2 * i + 1] * pATable[2 * i] + + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + outI = *pSrc2 * *(pCoefB + 1); + outI = outI - (*(pSrc2 + 1) * *pCoefB); + outI = outI + (*(pSrc1 + 1) * *pCoefA); + outI = outI + (*pSrc1 * *(pCoefA + 1)); + + /* update input pointers */ + pSrc1 += 2U; + pSrc2 -= 2U; + + /* write output */ + pDst[2U * i] = (q15_t) outR; + pDst[2U * i + 1U] = outI >> 16U; + + /* write complex conjugate output */ + pDst[(4U * fftLen) - (2U * i)] = (q15_t) outR; + pDst[((4U * fftLen) - (2U * i)) + 1U] = -(outI >> 16U); + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + + i++; + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[2U * fftLen + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; + +#endif /* #if defined (ARM_MATH_DSP) */ +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @brief Core Real IFFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + + @par + The function implements a Real IFFT + */ + +#if defined(ARM_MATH_MVEI) + +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + q15_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t const *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U - 14U]; + q15_t *pDst1 = &pDst[0]; + q15_t const *pVecSrc1; + q15_t *pVecDst1; + q15x8x2_t vecIn, vecSum; + uint32_t blkCnt; + uint16x8_t vecStridesFwd, vecStridesBkwd; + q15x8_t vecInBkwd, vecCoefFwd0, vecCoefFwd1; + + /* + * Init coefficient pointers + */ + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + /* + * scatter / gather offsets + * for ascending & descending addressing + */ + vecStridesFwd = vidupq_u16((uint32_t)0, 2); // 0, 2, 4, 6, 8, 10, 12, 14 + vecStridesBkwd = vddupq_u16(14, 2); // 14, 12, 10, 8, 6, 4, 2, 0 + vecStridesFwd = vecStridesFwd * (uint16_t) modifier; + + + pVecSrc1 = (q15_t const *) pSrc1; + pVecDst1 = pDst1; + + blkCnt = fftLen >> 3; + while (blkCnt > 0U) + { + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefA, vecStridesFwd); + vecCoefFwd1 = vldrhq_gather_shifted_offset(&pCoefA[1], vecStridesFwd); + vecIn = vld2q(pVecSrc1); + pVecSrc1 += 16; + /* + * outR = *pSrc1 * CoefA1; + */ + vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0); + /* + * outI = -(*pSrc1++) * CoefA2; + */ + vecIn.val[0] = vnegq(vecIn.val[0]); + vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outR += (*pSrc1 + *pSrc2) * CoefA2; + */ + vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd); + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1)); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outI += *pSrc1++ * CoefA1; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0)); + + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefB, vecStridesFwd); + /* + * outI -= *pSrc2-- * CoefB1; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0)); + + vecInBkwd = vldrhq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd); + /* + * outI += *pSrc2 * CoefA2; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1)); + /* + * outR += *pSrc2-- * CoefB1; + */ + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0)); + + vst2q(pVecDst1, vecSum); + pVecDst1 += 16; + /* + * update fwd and backwd offsets + */ + vecStridesFwd = vecStridesFwd + (uint16_t)(modifier * 16U); + + /* cannot use negative 16-bit offsets (would lead to positive 32-65K jump*/ + //vecStridesBkwd = vecStridesBkwd - (uint16_t)16; + pSrc2 = pSrc2 - 16; + blkCnt--; + } +} +#else +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + const q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pSrc1, *pSrc2; + q15_t *pDst1 = &pDst[0]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + pSrc1 = &pSrc[0]; + pSrc2 = &pSrc[2 * fftLen]; + + i = fftLen; + while (i > 0U) + { + /* + outR = ( pIn[2 * i] * pATable[2 * i] + + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + - pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + +#if defined (ARM_MATH_DSP) + +#ifndef ARM_MATH_BIG_ENDIAN + /* pIn[2 * n - 2 * i] * pBTable[2 * i] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ + outR = __SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB)); +#else + /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */ + outR = -(__SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB))); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + pIn[2 * n - 2 * i] * pBTable[2 * i] */ + outR = __SMLAD(read_q15x2(pSrc1), read_q15x2 ((q15_t *) pCoefA), outR) >> 16U; + + /* -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + outI = __SMUADX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB)); + + /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */ +#ifndef ARM_MATH_BIG_ENDIAN + outI = __SMLSDX(read_q15x2 ((q15_t *) pCoefA), read_q15x2_ia (&pSrc1), -outI); +#else + outI = __SMLSDX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), -outI); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* write output */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst1, __PKHBT(outR, (outI >> 16U), 16)); +#else + write_q15x2_ia (&pDst1, __PKHBT((outI >> 16U), outR, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + +#else /* #if defined (ARM_MATH_DSP) */ + + outR = *pSrc2 * *pCoefB; + outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1)); + outR = outR + (*pSrc1 * *pCoefA); + outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16; + + outI = *(pSrc1 + 1) * *pCoefA; + outI = outI - (*pSrc1 * *(pCoefA + 1)); + outI = outI - (*pSrc2 * *(pCoefB + 1)); + outI = outI - (*(pSrc2 + 1) * *(pCoefB)); + + /* update input pointers */ + pSrc1 += 2U; + pSrc2 -= 2U; + + /* write output */ + *pDst1++ = (q15_t) outR; + *pDst1++ = (q15_t) (outI >> 16); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* update coefficient pointer */ + pCoefB = pCoefB + (2 * modifier); + pCoefA = pCoefA + (2 * modifier); + + i--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ diff --git a/src/examples/gyro_fft/CMakeLists.txt b/src/modules/gyro_fft/CMakeLists.txt similarity index 55% rename from src/examples/gyro_fft/CMakeLists.txt rename to src/modules/gyro_fft/CMakeLists.txt index cb75d5940e..8af2756d77 100644 --- a/src/examples/gyro_fft/CMakeLists.txt +++ b/src/modules/gyro_fft/CMakeLists.txt @@ -1,6 +1,6 @@ ############################################################################ # -# Copyright (c) 2020 PX4 Development Team. All rights reserved. +# Copyright (c) 2020-2021 PX4 Development Team. All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions @@ -31,40 +31,20 @@ # ############################################################################ - -px4_add_git_submodule(TARGET git_cmsis_v5 PATH "${CMAKE_CURRENT_SOURCE_DIR}/CMSIS_5") - -# Needed to include the configBoot module -# Define the path to CMSIS-DSP (ROOT is defined on command line when using cmake) -set(ROOT ${CMAKE_CURRENT_SOURCE_DIR}/CMSIS_5) -set(DSP ${ROOT}/CMSIS/DSP) - -set(GCC ON CACHE BOOL "") -set(PLATFORM "FVP" CACHE STRING "") -set(ARM_CPU ${ARCHITECTURE} CACHE STRING "Set ARM CPU. Default : cortex-m4") - -set(FASTMATH ON CACHE BOOL "") -set(TRANSFORM ON CACHE BOOL "") -#set(CONFIGTABLE ON CACHE BOOL "") -#set(ALLFAST ON CACHE BOOL "") -#set(ALLFFT ON CACHE BOOL "") +set(CMSIS_ROOT ${CMAKE_CURRENT_SOURCE_DIR}/CMSIS_5) +set(CMSIS_DSP ${CMSIS_ROOT}/CMSIS/DSP) add_compile_options( - #-Wno-strict-prototypes -Wno-error - -DARM_FFT_ALLOW_TABLES - -DARM_ALL_FFT_TABLES - -DARM_TABLE_TWIDDLECOEF_Q15_128 - -DARM_TABLE_BITREVIDX_FXT_128 - -DARM_TABLE_REALCOEF_Q15 - - -DARMCM4_FP -DARM_MATH_LOOPUNROLL - -DCORTEXM ) +if(${PX4_PLATFORM} MATCHES "NuttX") + add_compile_options(-DARM_MATH_DSP) +endif() + add_compile_options($<$:-Wno-nested-externs>) px4_add_module( @@ -75,33 +55,26 @@ px4_add_module( COMPILE_FLAGS ${MAX_CUSTOM_OPT_LEVEL} INCLUDES - ${ROOT}/CMSIS/Core/Include - ${DSP}/Include + ${CMSIS_ROOT}/CMSIS/Core/Include + ${CMSIS_DSP}/Include SRCS GyroFFT.cpp GyroFFT.hpp - ${DSP}/Source/BasicMathFunctions/arm_shift_q15.c - - ${DSP}/Source/CommonTables/arm_common_tables.c - ${DSP}/Source/CommonTables/arm_const_structs.c - - ${DSP}/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c - - ${DSP}/Source/TransformFunctions/arm_bitreversal2.c - - #${DSP}/Source/TransformFunctions/arm_cfft_init_q15.c - ${DSP}/Source/TransformFunctions/arm_cfft_q15.c - ${DSP}/Source/TransformFunctions/arm_cfft_radix4_q15.c - - ${DSP}/Source/TransformFunctions/arm_rfft_init_q15.c - ${DSP}/Source/TransformFunctions/arm_rfft_q15.c - #${DSP}/Source/TransformFunctions/arm_rfft_radix4_q15.c - - ${DSP}/Source/SupportFunctions/arm_float_to_q15.c - ${DSP}/Source/BasicMathFunctions/arm_mult_q15.c - + ${CMSIS_ROOT}/CMSIS/Core/Include/cmsis_compiler.h + ${CMSIS_ROOT}/CMSIS/Core/Include/cmsis_gcc.h + ${CMSIS_DSP}/Include/arm_common_tables.h + ${CMSIS_DSP}/Include/arm_const_structs.h + ${CMSIS_DSP}/Include/arm_math.h + ${CMSIS_DSP}/Source/BasicMathFunctions/arm_mult_q15.c + ${CMSIS_DSP}/Source/CommonTables/arm_common_tables.c + ${CMSIS_DSP}/Source/CommonTables/arm_const_structs.c + ${CMSIS_DSP}/Source/SupportFunctions/arm_float_to_q15.c + ${CMSIS_DSP}/Source/TransformFunctions/arm_bitreversal2.c + ${CMSIS_DSP}/Source/TransformFunctions/arm_cfft_q15.c + ${CMSIS_DSP}/Source/TransformFunctions/arm_cfft_radix4_q15.c + ${CMSIS_DSP}/Source/TransformFunctions/arm_rfft_init_q15.c + ${CMSIS_DSP}/Source/TransformFunctions/arm_rfft_q15.c DEPENDS - git_cmsis_v5 px4_work_queue ) diff --git a/src/examples/gyro_fft/GyroFFT.cpp b/src/modules/gyro_fft/GyroFFT.cpp similarity index 99% rename from src/examples/gyro_fft/GyroFFT.cpp rename to src/modules/gyro_fft/GyroFFT.cpp index 2cca1c2af8..af8f647fb4 100644 --- a/src/examples/gyro_fft/GyroFFT.cpp +++ b/src/modules/gyro_fft/GyroFFT.cpp @@ -38,7 +38,6 @@ #include using namespace matrix; -using math::radians; GyroFFT::GyroFFT() : ModuleParams(nullptr), @@ -167,7 +166,7 @@ void GyroFFT::VehicleIMUStatusUpdate() } // helper function used for frequency estimation -static constexpr float tau(float x) +static float tau(float x) { float p1 = logf(3.f * powf(x, 2.f) + 6 * x + 1); float part1 = x + 1 - sqrtf(2.f / 3.f); diff --git a/src/examples/gyro_fft/GyroFFT.hpp b/src/modules/gyro_fft/GyroFFT.hpp similarity index 97% rename from src/examples/gyro_fft/GyroFFT.hpp rename to src/modules/gyro_fft/GyroFFT.hpp index 509dacfd1f..c9100874a7 100644 --- a/src/examples/gyro_fft/GyroFFT.hpp +++ b/src/modules/gyro_fft/GyroFFT.hpp @@ -1,6 +1,6 @@ /**************************************************************************** * - * Copyright (c) 2020 PX4 Development Team. All rights reserved. + * Copyright (c) 2020-2021 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions @@ -33,7 +33,6 @@ #pragma once -#include #include #include #include diff --git a/src/examples/gyro_fft/parameters.c b/src/modules/gyro_fft/parameters.c similarity index 100% rename from src/examples/gyro_fft/parameters.c rename to src/modules/gyro_fft/parameters.c