mirror of https://github.com/ArduPilot/ardupilot
299 lines
7.6 KiB
C++
299 lines
7.6 KiB
C++
/// -*- tab-width: 4; Mode: C++; c-basic-offset: 4; indent-tabs-mode: nil -*-
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//
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// Unit tests for the AP_Math euler code
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//
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#include <AP_HAL/AP_HAL.h>
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#include <AP_Math/AP_Math.h>
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const AP_HAL::HAL& hal = AP_HAL::get_HAL();
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#define SHOW_POLES_BREAKDOWN 0
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static float rad_diff(float rad1, float rad2)
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{
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float diff = rad1 - rad2;
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if (diff > PI) {
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diff -= 2*PI;
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}
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if (diff < -PI) {
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diff += 2*PI;
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}
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return fabsf(diff);
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}
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static void check_result(const char *msg,
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float roll, float pitch, float yaw,
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float roll2, float pitch2, float yaw2)
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{
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if (isnan(roll2) ||
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isnan(pitch2) ||
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isnan(yaw2)) {
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hal.console->printf("%s NAN eulers roll=%f pitch=%f yaw=%f\n",
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msg, roll, pitch, yaw);
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}
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if (rad_diff(roll2,roll) > ToRad(179)) {
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// reverse all 3
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roll2 += fmod(roll2+PI, 2*PI);
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pitch2 += fmod(pitch2+PI, 2*PI);
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yaw2 += fmod(yaw2+PI, 2*PI);
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}
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if (rad_diff(roll2,roll) > 0.01f ||
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rad_diff(pitch2, pitch) > 0.01f ||
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rad_diff(yaw2, yaw) > 0.01f) {
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if (pitch >= PI/2 ||
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pitch <= -PI/2 ||
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ToDeg(rad_diff(pitch, PI/2)) < 1 ||
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ToDeg(rad_diff(pitch, -PI/2)) < 1) {
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// we expect breakdown at these poles
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#if SHOW_POLES_BREAKDOWN
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hal.console->printf(
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"%s breakdown eulers roll=%f/%f pitch=%f/%f yaw=%f/%f\n",
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msg,
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ToDeg(roll), ToDeg(roll2),
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ToDeg(pitch), ToDeg(pitch2),
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ToDeg(yaw), ToDeg(yaw2));
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#endif
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} else {
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hal.console->printf(
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"%s incorrect eulers roll=%f/%f pitch=%f/%f yaw=%f/%f\n",
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msg,
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ToDeg(roll), ToDeg(roll2),
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ToDeg(pitch), ToDeg(pitch2),
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ToDeg(yaw), ToDeg(yaw2));
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}
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}
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}
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static void test_euler(float roll, float pitch, float yaw)
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{
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Matrix3f m;
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float roll2, pitch2, yaw2;
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m.from_euler(roll, pitch, yaw);
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m.to_euler(&roll2, &pitch2, &yaw2);
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check_result("test_euler", roll, pitch, yaw, roll2, pitch2, yaw2);
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}
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static const float angles[] = { 0, PI/8, PI/4, PI/2, PI,
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-PI/8, -PI/4, -PI/2, -PI};
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void test_matrix_eulers(void)
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{
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uint8_t i, j, k;
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uint8_t N = ARRAY_SIZE(angles);
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hal.console->println("rotation matrix unit tests\n");
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for (i=0; i<N; i++)
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for (j=0; j<N; j++)
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for (k=0; k<N; k++)
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test_euler(angles[i], angles[j], angles[k]);
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hal.console->println("tests done\n");
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}
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static void test_quaternion(float roll, float pitch, float yaw)
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{
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Quaternion q;
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Matrix3f m;
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float roll2, pitch2, yaw2;
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q.from_euler(roll, pitch, yaw);
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q.to_euler(roll2, pitch2, yaw2);
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check_result("test_quaternion1", roll, pitch, yaw, roll2, pitch2, yaw2);
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m.from_euler(roll, pitch, yaw);
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m.to_euler(&roll2, &pitch2, &yaw2);
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check_result("test_quaternion2", roll, pitch, yaw, roll2, pitch2, yaw2);
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m.from_euler(roll, pitch, yaw);
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q.from_rotation_matrix(m);
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q.to_euler(roll2, pitch2, yaw2);
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check_result("test_quaternion3", roll, pitch, yaw, roll2, pitch2, yaw2);
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q.rotation_matrix(m);
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m.to_euler(&roll2, &pitch2, &yaw2);
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check_result("test_quaternion4", roll, pitch, yaw, roll2, pitch2, yaw2);
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}
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void test_quaternion_eulers(void)
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{
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uint8_t i, j, k;
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uint8_t N = ARRAY_SIZE(angles);
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hal.console->println("quaternion unit tests\n");
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test_quaternion(PI/4, 0, 0);
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test_quaternion(0, PI/4, 0);
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test_quaternion(0, 0, PI/4);
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test_quaternion(-PI/4, 0, 0);
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test_quaternion(0, -PI/4, 0);
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test_quaternion(0, 0, -PI/4);
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test_quaternion(-PI/4, 1, 1);
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test_quaternion(1, -PI/4, 1);
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test_quaternion(1, 1, -PI/4);
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test_quaternion(ToRad(89), 0, 0.1f);
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test_quaternion(0, ToRad(89), 0.1f);
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test_quaternion(0.1f, 0, ToRad(89));
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test_quaternion(ToRad(91), 0, 0.1f);
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test_quaternion(0, ToRad(91), 0.1f);
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test_quaternion(0.1f, 0, ToRad(91));
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for (i=0; i<N; i++)
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for (j=0; j<N; j++)
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for (k=0; k<N; k++)
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test_quaternion(angles[i], angles[j], angles[k]);
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hal.console->println("tests done\n");
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}
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static void test_conversion(float roll, float pitch, float yaw)
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{
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Quaternion q;
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Matrix3f m, m2;
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float roll2, pitch2, yaw2;
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float roll3, pitch3, yaw3;
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q.from_euler(roll, pitch, yaw);
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q.to_euler(roll2, pitch2, yaw2);
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check_result("test_conversion1", roll, pitch, yaw, roll2, pitch2, yaw2);
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q.rotation_matrix(m);
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m.to_euler(&roll2, &pitch2, &yaw2);
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m2.from_euler(roll, pitch, yaw);
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m2.to_euler(&roll3, &pitch3, &yaw3);
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if (m.is_nan()) {
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hal.console->printf("NAN matrix roll=%f pitch=%f yaw=%f\n",
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roll, pitch, yaw);
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}
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check_result("test_conversion2", roll, pitch, yaw, roll2, pitch2, yaw2);
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check_result("test_conversion3", roll, pitch, yaw, roll3, pitch3, yaw3);
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}
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void test_conversions(void)
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{
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uint8_t i, j, k;
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uint8_t N = ARRAY_SIZE(angles);
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hal.console->println("matrix/quaternion tests\n");
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test_conversion(1, 1.1f, 1.2f);
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test_conversion(1, -1.1f, 1.2f);
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test_conversion(1, -1.1f, -1.2f);
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test_conversion(-1, 1.1f, -1.2f);
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test_conversion(-1, 1.1f, 1.2f);
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for (i=0; i<N; i++)
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for (j=0; j<N; j++)
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for (k=0; k<N; k++)
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test_conversion(angles[i], angles[j], angles[k]);
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hal.console->println("tests done\n");
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}
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void test_frame_transforms(void)
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{
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Vector3f v, v2;
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Quaternion q;
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Matrix3f m;
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hal.console->println("frame transform tests\n");
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q.from_euler(ToRad(45), ToRad(45), ToRad(45));
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q.normalize();
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m.from_euler(ToRad(45), ToRad(45), ToRad(45));
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v2 = v = Vector3f(0, 0, 1);
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q.earth_to_body(v2);
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hal.console->printf("%f %f %f\n", v2.x, v2.y, v2.z);
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v2 = m * v;
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hal.console->printf("%f %f %f\n\n", v2.x, v2.y, v2.z);
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v2 = v = Vector3f(0, 1, 0);
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q.earth_to_body(v2);
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hal.console->printf("%f %f %f\n", v2.x, v2.y, v2.z);
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v2 = m * v;
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hal.console->printf("%f %f %f\n\n", v2.x, v2.y, v2.z);
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v2 = v = Vector3f(1, 0, 0);
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q.earth_to_body(v2);
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hal.console->printf("%f %f %f\n", v2.x, v2.y, v2.z);
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v2 = m * v;
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hal.console->printf("%f %f %f\n", v2.x, v2.y, v2.z);
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}
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// generate a random float between -1 and 1
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static float rand_num(void)
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{
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float ret = ((unsigned)random()) % 2000000;
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return (ret - 1.0e6f) / 1.0e6f;
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}
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void test_matrix_rotate(void)
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{
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Matrix3f m1, m2, diff;
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Vector3f r;
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m1.identity();
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m2.identity();
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r.x = rand_num();
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r.y = rand_num();
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r.z = rand_num();
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for (uint16_t i = 0; i<1000; i++) {
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// old method
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Matrix3f temp_matrix;
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temp_matrix.a.x = 0;
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temp_matrix.a.y = -r.z;
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temp_matrix.a.z = r.y;
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temp_matrix.b.x = r.z;
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temp_matrix.b.y = 0;
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temp_matrix.b.z = -r.x;
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temp_matrix.c.x = -r.y;
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temp_matrix.c.y = r.x;
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temp_matrix.c.z = 0;
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temp_matrix = m1 * temp_matrix;
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m1 += temp_matrix;
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// new method
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m2.rotate(r);
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// check they behave in the same way
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diff = m1 - m2;
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float err = diff.a.length() + diff.b.length() + diff.c.length();
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if (err > 0) {
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hal.console->printf("ERROR: i=%u err=%f\n", (unsigned)i, err);
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}
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}
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}
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/*
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* euler angle tests
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*/
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void setup(void)
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{
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hal.console->println("euler unit tests\n");
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test_conversion(0, PI, 0);
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test_frame_transforms();
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test_conversions();
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test_quaternion_eulers();
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test_matrix_eulers();
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test_matrix_rotate();
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}
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void loop(void){}
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AP_HAL_MAIN();
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