// // Unit tests for the AP_Math rotations code // #include #include void setup(); void loop(); const AP_HAL::HAL& hal = AP_HAL::get_HAL(); static void print_vector(Vector3f &v) { hal.console->printf("[%.4f %.4f %.4f]\n", (double)v.x, (double)v.y, (double)v.z); } // test rotation method accuracy static void test_rotation_accuracy(void) { Matrix3f attitude; Vector3f small_rotation; float roll, pitch, yaw; float rot_angle; hal.console->printf("\nRotation method accuracy:\n"); // test roll for(int16_t i = 0; i < 90; i++ ) { // reset initial attitude attitude.from_euler(0.0f, 0.0f, 0.0f); // calculate small rotation vector rot_angle = ToRad(i); small_rotation = Vector3f(rot_angle, 0.0f, 0.0f); // apply small rotation attitude.rotate(small_rotation); // get resulting attitude's euler angles attitude.to_euler(&roll, &pitch, &yaw); // now try via from_axis_angle Matrix3f r2; r2.from_axis_angle(Vector3f(1.0f, 0.0f, 0.0f), rot_angle); attitude.from_euler(0.0f, 0.0f, 0.0f); attitude = r2 * attitude; float roll2, pitch2, yaw2; attitude.to_euler(&roll2, &pitch2, &yaw2); // display results hal.console->printf("actual angle: %d angle1:%4.2f angle2:%4.2f\n", (int)i, (double)ToDeg(roll), (double)ToDeg(roll2)); } // test pitch for(int16_t i = 0; i < 90; i++ ) { // reset initial attitude attitude.from_euler(0.0f, 0.0f, 0.0f); // calculate small rotation vector rot_angle = ToRad(i); small_rotation = Vector3f(0.0f ,rot_angle, 0.0f); // apply small rotation attitude.rotate(small_rotation); // get resulting attitude's euler angles attitude.to_euler(&roll, &pitch, &yaw); // now try via from_axis_angle Matrix3f r2; r2.from_axis_angle(Vector3f(0.0f ,1.0f, 0.0f), rot_angle); attitude.from_euler(0.0f, 0.0f, 0.0f); attitude = r2 * attitude; float roll2, pitch2, yaw2; attitude.to_euler(&roll2, &pitch2, &yaw2); // display results hal.console->printf("actual angle: %d angle1:%4.2f angle2:%4.2f\n", (int)i, (double)ToDeg(pitch), (double)ToDeg(pitch2)); } // test yaw for(int16_t i = 0; i < 90; i++ ) { // reset initial attitude attitude.from_euler(0.0f, 0.0f, 0.0f); // calculate small rotation vector rot_angle = ToRad(i); small_rotation = Vector3f(0.0f, 0.0f, rot_angle); // apply small rotation attitude.rotate(small_rotation); // get resulting attitude's euler angles attitude.to_euler(&roll, &pitch, &yaw); // now try via from_axis_angle Matrix3f r2; r2.from_axis_angle(Vector3f(0.0f, 0.0f, 1.0f), rot_angle); attitude.from_euler(0.0f, 0.0f, 0.0f); attitude = r2 * attitude; float roll2, pitch2, yaw2; attitude.to_euler(&roll2, &pitch2, &yaw2); // display results hal.console->printf("actual angle: %d angle1:%4.2f angle2:%4.2f\n", (int)i, (double)ToDeg(yaw), (double)ToDeg(yaw2)); } } static void test_euler(enum Rotation rotation, float roll, float pitch, float yaw) { Vector3f v, v1, v2, diff; Matrix3f rotmat; const float accuracy = 1.0e-6f; v.x = 1; v.y = 2; v.z = 3; v1 = v; v1.rotate(rotation); rotmat.from_euler(radians(roll), radians(pitch), radians(yaw)); v2 = v; v2 = rotmat * v2; diff = (v2 - v1); if (diff.length() > accuracy) { hal.console->printf("euler test %u failed : yaw:%d roll:%d pitch:%d\n", (unsigned)rotation, (int)yaw, (int)roll, (int)pitch); hal.console->printf("fast rotated: "); print_vector(v1); hal.console->printf("slow rotated: "); print_vector(v2); hal.console->printf("\n"); } // quaternion rotation test const float q_accuracy = 1.0e-3f; Quaternion q, qe; q.from_rotation(rotation); qe.from_euler(radians(roll), radians(pitch), radians(yaw)); float q_roll, q_pitch, q_yaw, qe_roll, qe_pitch, qe_yaw; q.to_euler(q_roll, q_pitch, q_yaw); qe.to_euler(qe_roll, qe_pitch, qe_yaw); const float roll_diff = fabsf(wrap_PI(q_roll - qe_roll)); const float pitch_diff = fabsf(wrap_PI(q_pitch - qe_pitch)); const float yaw_diff = fabsf(wrap_PI(q_yaw - qe_yaw)); if ((roll_diff > q_accuracy) || (pitch_diff > q_accuracy) || (yaw_diff > q_accuracy)) { hal.console->printf("quaternion test %u failed : yaw:%f/%f roll:%f/%f pitch:%f/%f\n", (unsigned)rotation, (double)q_yaw,(double)qe_yaw, (double)q_roll,(double)qe_roll, (double)q_pitch,(double)qe_pitch); } } static void test_rotate_inverse(void) { hal.console->printf("\nrotate inverse test(Vector (1,1,1)):\n"); Vector3f vec(1.0f,1.0f,1.0f), cmp_vec(1.0f, 1.0f, 1.0f); for (enum Rotation r = ROTATION_NONE; r < ROTATION_MAX; r = (enum Rotation)((uint8_t)r+1)) { hal.console->printf("\nROTATION(%d) ", r); vec.rotate(r); print_vector(vec); hal.console->printf("INV_ROTATION(%d)", r); vec.rotate_inverse(r); print_vector(vec); if ((vec - cmp_vec).length() > 1e-5) { hal.console->printf("Rotation Test Failed!!! %.8f\n", (double)(vec - cmp_vec).length()); return; } } } static void test_eulers(void) { hal.console->printf("euler tests\n"); test_euler(ROTATION_NONE, 0, 0, 0); test_euler(ROTATION_YAW_45, 0, 0, 45); test_euler(ROTATION_YAW_90, 0, 0, 90); test_euler(ROTATION_YAW_135, 0, 0, 135); test_euler(ROTATION_YAW_180, 0, 0, 180); test_euler(ROTATION_YAW_225, 0, 0, 225); test_euler(ROTATION_YAW_270, 0, 0, 270); test_euler(ROTATION_YAW_315, 0, 0, 315); test_euler(ROTATION_ROLL_180, 180, 0, 0); test_euler(ROTATION_ROLL_180_YAW_45, 180, 0, 45); test_euler(ROTATION_ROLL_180_YAW_90, 180, 0, 90); test_euler(ROTATION_ROLL_180_YAW_135, 180, 0, 135); test_euler(ROTATION_PITCH_180, 0, 180, 0); test_euler(ROTATION_ROLL_180_YAW_225, 180, 0, 225); test_euler(ROTATION_ROLL_180_YAW_270, 180, 0, 270); test_euler(ROTATION_ROLL_180_YAW_315, 180, 0, 315); test_euler(ROTATION_ROLL_90, 90, 0, 0); test_euler(ROTATION_ROLL_90_YAW_45, 90, 0, 45); test_euler(ROTATION_ROLL_90_YAW_90, 90, 0, 90); test_euler(ROTATION_ROLL_90_YAW_135, 90, 0, 135); test_euler(ROTATION_ROLL_270, 270, 0, 0); test_euler(ROTATION_ROLL_270_YAW_45, 270, 0, 45); test_euler(ROTATION_ROLL_270_YAW_90, 270, 0, 90); test_euler(ROTATION_ROLL_270_YAW_135, 270, 0, 135); test_euler(ROTATION_PITCH_90, 0, 90, 0); test_euler(ROTATION_PITCH_270, 0, 270, 0); test_euler(ROTATION_PITCH_180_YAW_90, 0, 180, 90); test_euler(ROTATION_PITCH_180_YAW_270, 0, 180, 270); test_euler(ROTATION_ROLL_90_PITCH_90, 90, 90, 0); test_euler(ROTATION_ROLL_180_PITCH_90,180, 90, 0); test_euler(ROTATION_ROLL_270_PITCH_90,270, 90, 0); test_euler(ROTATION_ROLL_90_PITCH_180, 90, 180, 0); test_euler(ROTATION_ROLL_270_PITCH_180,270,180, 0); test_euler(ROTATION_ROLL_90_PITCH_270, 90, 270, 0); test_euler(ROTATION_ROLL_180_PITCH_270,180,270, 0); test_euler(ROTATION_ROLL_270_PITCH_270,270,270, 0); test_euler(ROTATION_ROLL_90_PITCH_180_YAW_90, 90, 180, 90); test_euler(ROTATION_ROLL_90_YAW_270, 90, 0, 270); test_euler(ROTATION_ROLL_90_PITCH_68_YAW_293,90,68.8,293.3); test_euler(ROTATION_ROLL_45,45,0,0); test_euler(ROTATION_ROLL_315,315,0,0); test_euler(ROTATION_PITCH_7, 0, 7, 0); } static bool have_rotation(const Matrix3f &m) { Matrix3f mt = m.transposed(); for (enum Rotation r = ROTATION_NONE; r < ROTATION_MAX; r = (enum Rotation)((uint8_t)(r + 1))) { Vector3f v(1.0f, 2.0f, 3.0f); Vector3f v2 = v; v2.rotate(r); v2 = mt * v2; if ((v2 - v).length() < 0.01f) { return true; } } return false; } static void missing_rotations(void) { hal.console->printf("testing for missing rotations\n"); for (uint16_t yaw = 0; yaw < 360; yaw += 90) for (uint16_t pitch = 0; pitch < 360; pitch += 90) for (uint16_t roll = 0; roll < 360; roll += 90) { Matrix3f m; m.from_euler(ToRad(roll), ToRad(pitch), ToRad(yaw)); if (!have_rotation(m)) { hal.console->printf("Missing rotation (%u, %u, %u)\n", roll, pitch, yaw); } } } static void test_rotate_matrix(void) { for (enum Rotation r = ROTATION_NONE; r < ROTATION_MAX; r = (enum Rotation)((uint8_t)r+1)) { //hal.console->printf("\nROTATION(%d)\n", r); Vector3f vec(1,2,3); Vector3f vec2 = vec; vec.rotate(r); Matrix3f m; m.from_rotation(r); vec2 = m * vec2; //print_vector(vec); //print_vector(vec2); if ((vec - vec2).length() > 1e-5) { hal.console->printf("Rotation Test Failed!!! %.8f\n", (double)(vec - vec2).length()); return; } } hal.console->printf("test_rotate_matrix passed\n"); } static void test_rotation_duplicates(void) { for (enum Rotation r = (enum Rotation)((uint8_t)ROTATION_MAX-1); r > ROTATION_NONE; r = (enum Rotation)((uint8_t)r-1)) { for (enum Rotation r2 = ROTATION_NONE; r2 < r; r2 = (enum Rotation)((uint8_t)r2+1)) { if (rotation_equal(r,r2)) { hal.console->printf("Rotation %i same as %i\n", r, r2); } } } hal.console->printf("test_rotation_duplicates done\n"); } /* * rotation tests */ void setup(void) { hal.console->begin(115200); hal.console->printf("rotation unit tests\n\n"); test_rotation_accuracy(); hal.console->printf("\n\n"); test_eulers(); hal.console->printf("\n\n"); missing_rotations(); hal.console->printf("\n\n"); test_rotate_inverse(); hal.console->printf("\n\n"); test_rotate_matrix(); hal.console->printf("\n\n"); test_rotation_duplicates(); hal.console->printf("\n\n"); hal.console->printf("rotation unit tests done\n\n"); return; } void loop(void) {} AP_HAL_MAIN();