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https://github.com/betaflight/betaflight.git
synced 2025-07-16 21:05:35 +03:00
HEADFREE true 3D (second edition)...
reduced memory footprint ... rebased squashed cleanup
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36a6cfc2b1
commit
7146c40ca8
11 changed files with 181 additions and 92 deletions
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@ -27,7 +27,6 @@
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#include "build/debug.h"
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#include "common/axis.h"
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#include "common/maths.h"
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#include "config/parameter_group.h"
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#include "config/parameter_group_ids.h"
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@ -87,14 +86,19 @@ static float throttleAngleScale;
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static float fc_acc;
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static float smallAngleCosZ = 0;
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static float magneticDeclination = 0.0f; // calculated at startup from config
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static imuRuntimeConfig_t imuRuntimeConfig;
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STATIC_UNIT_TESTED float q0 = 1.0f, q1 = 0.0f, q2 = 0.0f, q3 = 0.0f; // quaternion of sensor frame relative to earth frame
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STATIC_UNIT_TESTED float rMat[3][3];
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attitudeEulerAngles_t attitude = { { 0, 0, 0 } }; // absolute angle inclination in multiple of 0.1 degree 180 deg = 1800
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// quaternion of sensor frame relative to earth frame
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STATIC_UNIT_TESTED quaternion q = QUATERNION_INITIALIZE;
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STATIC_UNIT_TESTED quaternionProducts qP = QUATERNION_PRODUCTS_INITIALIZE;
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// headfree quaternions
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quaternion headfree = QUATERNION_INITIALIZE;
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quaternion offset = QUATERNION_INITIALIZE;
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// absolute angle inclination in multiple of 0.1 degree 180 deg = 1800
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attitudeEulerAngles_t attitude = EULER_INITIALIZE;
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PG_REGISTER_WITH_RESET_TEMPLATE(imuConfig_t, imuConfig, PG_IMU_CONFIG, 0);
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@ -106,34 +110,24 @@ PG_RESET_TEMPLATE(imuConfig_t, imuConfig,
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.acc_unarmedcal = 1
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);
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STATIC_UNIT_TESTED void imuComputeRotationMatrix(void)
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{
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float q1q1 = sq(q1);
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float q2q2 = sq(q2);
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float q3q3 = sq(q3);
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STATIC_UNIT_TESTED void imuComputeRotationMatrix(void){
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imuQuaternionComputeProducts(&q, &qP);
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float q0q1 = q0 * q1;
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float q0q2 = q0 * q2;
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float q0q3 = q0 * q3;
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float q1q2 = q1 * q2;
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float q1q3 = q1 * q3;
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float q2q3 = q2 * q3;
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rMat[0][0] = 1.0f - 2.0f * qP.yy - 2.0f * qP.zz;
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rMat[0][1] = 2.0f * (qP.xy + -qP.wz);
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rMat[0][2] = 2.0f * (qP.xz - -qP.wy);
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rMat[0][0] = 1.0f - 2.0f * q2q2 - 2.0f * q3q3;
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rMat[0][1] = 2.0f * (q1q2 + -q0q3);
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rMat[0][2] = 2.0f * (q1q3 - -q0q2);
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rMat[1][0] = 2.0f * (qP.xy - -qP.wz);
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rMat[1][1] = 1.0f - 2.0f * qP.xx - 2.0f * qP.zz;
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rMat[1][2] = 2.0f * (qP.yz + -qP.wx);
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rMat[1][0] = 2.0f * (q1q2 - -q0q3);
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rMat[1][1] = 1.0f - 2.0f * q1q1 - 2.0f * q3q3;
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rMat[1][2] = 2.0f * (q2q3 + -q0q1);
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rMat[2][0] = 2.0f * (q1q3 + -q0q2);
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rMat[2][1] = 2.0f * (q2q3 - -q0q1);
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rMat[2][2] = 1.0f - 2.0f * q1q1 - 2.0f * q2q2;
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rMat[2][0] = 2.0f * (qP.xz + -qP.wy);
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rMat[2][1] = 2.0f * (qP.yz - -qP.wx);
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rMat[2][2] = 1.0f - 2.0f * qP.xx - 2.0f * qP.yy;
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#if defined(SIMULATOR_BUILD) && defined(SKIP_IMU_CALC) && !defined(SET_IMU_FROM_EULER)
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rMat[1][0] = -2.0f * (q1q2 - -q0q3);
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rMat[2][0] = -2.0f * (q1q3 + -q0q2);
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rMat[1][0] = -2.0f * (qP.xy - -qP.wz);
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rMat[2][0] = -2.0f * (qP.xz + -qP.wy);
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#endif
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}
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@ -345,31 +339,42 @@ static void imuMahonyAHRSupdate(float dt, float gx, float gy, float gz,
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gy *= (0.5f * dt);
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gz *= (0.5f * dt);
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const float qa = q0;
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const float qb = q1;
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const float qc = q2;
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q0 += (-qb * gx - qc * gy - q3 * gz);
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q1 += (qa * gx + qc * gz - q3 * gy);
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q2 += (qa * gy - qb * gz + q3 * gx);
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q3 += (qa * gz + qb * gy - qc * gx);
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quaternion buffer;
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buffer.w = q.w;
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buffer.x = q.x;
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buffer.y = q.y;
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buffer.z = q.z;
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q.w += (-buffer.x * gx - buffer.y * gy - buffer.z * gz);
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q.x += (+buffer.w * gx + buffer.y * gz - buffer.z * gy);
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q.y += (+buffer.w * gy - buffer.x * gz + buffer.z * gx);
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q.z += (+buffer.w * gz + buffer.x * gy - buffer.y * gx);
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// Normalise quaternion
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recipNorm = invSqrt(sq(q0) + sq(q1) + sq(q2) + sq(q3));
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q0 *= recipNorm;
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q1 *= recipNorm;
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q2 *= recipNorm;
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q3 *= recipNorm;
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recipNorm = invSqrt(sq(q.w) + sq(q.x) + sq(q.y) + sq(q.z));
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q.w *= recipNorm;
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q.x *= recipNorm;
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q.y *= recipNorm;
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q.z *= recipNorm;
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// Pre-compute rotation matrix from quaternion
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imuComputeRotationMatrix();
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}
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STATIC_UNIT_TESTED void imuUpdateEulerAngles(void)
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{
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/* Compute pitch/roll angles */
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attitude.values.roll = lrintf(atan2f(rMat[2][1], rMat[2][2]) * (1800.0f / M_PIf));
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attitude.values.pitch = lrintf(((0.5f * M_PIf) - acosf(-rMat[2][0])) * (1800.0f / M_PIf));
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attitude.values.yaw = lrintf((-atan2f(rMat[1][0], rMat[0][0]) * (1800.0f / M_PIf) + magneticDeclination));
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STATIC_UNIT_TESTED void imuUpdateEulerAngles(void){
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quaternionProducts buffer;
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if (FLIGHT_MODE(HEADFREE_MODE)) {
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imuQuaternionComputeProducts(&headfree, &buffer);
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attitude.values.roll = lrintf(atan2_approx((+2.0f * (buffer.wx + buffer.yz)), (+1.0f - 2.0f * (buffer.xx + buffer.yy))) * (1800.0f / M_PIf));
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attitude.values.pitch = lrintf(((0.5f * M_PIf) - acos_approx(+2.0f * (buffer.wy - buffer.xz))) * (1800.0f / M_PIf));
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attitude.values.yaw = lrintf((-atan2_approx((+2.0f * (buffer.wz + buffer.xy)), (+1.0f - 2.0f * (buffer.yy + buffer.zz))) * (1800.0f / M_PIf)));
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} else {
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attitude.values.roll = lrintf(atan2_approx(rMat[2][1], rMat[2][2]) * (1800.0f / M_PIf));
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attitude.values.pitch = lrintf(((0.5f * M_PIf) - acos_approx(-rMat[2][0])) * (1800.0f / M_PIf));
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attitude.values.yaw = lrintf((-atan2_approx(rMat[1][0], rMat[0][0]) * (1800.0f / M_PIf)));
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}
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if (attitude.values.yaw < 0)
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attitude.values.yaw += 3600;
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@ -485,7 +490,7 @@ int16_t calculateThrottleAngleCorrection(uint8_t throttle_correction_value)
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if (rMat[2][2] <= 0.015f) {
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return 0;
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}
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int angle = lrintf(acosf(rMat[2][2]) * throttleAngleScale);
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int angle = lrintf(acos_approx(rMat[2][2]) * throttleAngleScale);
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if (angle > 900)
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angle = 900;
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return lrintf(throttle_correction_value * sin_approx(angle / (900.0f * M_PIf / 2.0f)));
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@ -506,10 +511,10 @@ void imuSetAttitudeQuat(float w, float x, float y, float z)
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{
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IMU_LOCK;
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q0 = w;
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q1 = x;
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q2 = y;
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q3 = z;
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q.w = w;
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q.x = x;
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q.y = y;
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q.z = z;
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imuComputeRotationMatrix();
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imuUpdateEulerAngles();
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@ -528,3 +533,62 @@ void imuSetHasNewData(uint32_t dt)
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IMU_UNLOCK;
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}
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#endif
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void imuQuaternionComputeProducts(quaternion *quat, quaternionProducts *quatProd) {
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quatProd->ww = quat->w * quat->w;
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quatProd->wx = quat->w * quat->x;
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quatProd->wy = quat->w * quat->y;
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quatProd->wz = quat->w * quat->z;
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quatProd->xx = quat->x * quat->x;
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quatProd->xy = quat->x * quat->y;
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quatProd->xz = quat->x * quat->z;
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quatProd->yy = quat->y * quat->y;
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quatProd->yz = quat->y * quat->z;
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quatProd->zz = quat->z * quat->z;
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}
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bool imuQuaternionHeadfreeOffsetSet(void) {
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if ((ABS(attitude.values.roll) < 450) && (ABS(attitude.values.pitch) < 450)) {
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const float yaw = -atan2_approx((+2.0f * (qP.wz + qP.xy)), (+1.0f - 2.0f * (qP.yy + qP.zz)));
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offset.w = cos_approx(yaw/2);
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offset.x = 0;
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offset.y = 0;
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offset.z = sin_approx(yaw/2);
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return(true);
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} else {
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return(false);
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}
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}
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void imuQuaternionMultiplication(quaternion *q1, quaternion *q2, quaternion *result) {
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const float A = (q1->w + q1->x) * (q2->w + q2->x);
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const float B = (q1->z - q1->y) * (q2->y - q2->z);
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const float C = (q1->w - q1->x) * (q2->y + q2->z);
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const float D = (q1->y + q1->z) * (q2->w - q2->x);
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const float E = (q1->x + q1->z) * (q2->x + q2->y);
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const float F = (q1->x - q1->z) * (q2->x - q2->y);
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const float G = (q1->w + q1->y) * (q2->w - q2->z);
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const float H = (q1->w - q1->y) * (q2->w + q2->z);
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result->w = B + (- E - F + G + H) / 2.0f;
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result->x = A - (+ E + F + G + H) / 2.0f;
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result->y = C + (+ E - F + G - H) / 2.0f;
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result->z = D + (+ E - F - G + H) / 2.0f;
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}
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void imuQuaternionHeadfreeTransformVectorEarthToBody(t_fp_vector_def *v) {
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quaternionProducts buffer;
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imuQuaternionMultiplication(&offset, &q, &headfree);
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imuQuaternionComputeProducts(&headfree, &buffer);
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const float x = (buffer.ww + buffer.xx - buffer.yy - buffer.zz) * v->X + 2.0f * (buffer.xy + buffer.wz) * v->Y + 2.0f * (buffer.xz - buffer.wy) * v->Z;
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const float y = 2.0f * (buffer.xy - buffer.wz) * v->X + (buffer.ww - buffer.xx + buffer.yy - buffer.zz) * v->Y + 2.0f * (buffer.yz + buffer.wx) * v->Z;
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const float z = 2.0f * (buffer.xz + buffer.wy) * v->X + 2.0f * (buffer.yz - buffer.wx) * v->Y + (buffer.ww - buffer.xx - buffer.yy + buffer.zz) * v->Z;
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v->X = x;
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v->Y = y;
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v->Z = z;
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}
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