added original Mahony alg for comparation; impr IMU calbration
This commit is contained in:
170
mculoop/main.c
170
mculoop/main.c
@@ -60,7 +60,7 @@ static void usart_setup(void) {
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usart_enable(USART1);
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usart_enable(USART1);
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}
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}
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const uint32_t systic_freq = 50 * 1000;
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const uint32_t systic_freq = 100 * 1000;
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static void systick_setup(void) {
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static void systick_setup(void) {
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g_sys_tick_counter = 0;
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g_sys_tick_counter = 0;
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@@ -114,7 +114,100 @@ double invSqrt(double x) {
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return 1.0f / sqrt(x);
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return 1.0f / sqrt(x);
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}
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}
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void ahrs_update(double dt, quaternion_t* q, mpu_value_t* m) {
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volatile float twoKp = (2.0f * 0.5f); // 2 * proportional gain (Kp)
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volatile float twoKi = (2.0f * 0.0f); // 2 * integral gain (Ki)
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volatile float integralFBx = 0.0f;
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volatile float integralFBy = 0.0f;
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volatile float integralFBz = 0.0f;
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void quaternion_update_mahony(double dt, quaternion_t* q, mpu_value_t* m) {
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double q0 = q->w;
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double q1 = q->x;
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double q2 = q->y;
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double q3 = q->z; // quaternion of sensor frame relative to auxiliary frame
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double gx = m->gx;
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double gy = m->gy;
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double gz = m->gz;
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double ax = m->ax;
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double ay = m->ay;
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double az = m->az;
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double recipNorm;
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double halfvx, halfvy, halfvz;
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double halfex, halfey, halfez;
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double qa, qb, qc;
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// Compute feedback only if accelerometer measurement valid (avoids NaN in accelerometer normalisation)
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if(!((ax == 0.0f) && (ay == 0.0f) && (az == 0.0f))) {
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// Normalise accelerometer measurement
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recipNorm = invSqrt(ax*ax + ay*ay + az*az);
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ax *= recipNorm;
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ay *= recipNorm;
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az *= recipNorm;
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// Estimated direction of gravity and vector perpendicular to magnetic flux
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halfvx = q1*q3 - q0*q2;
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halfvy = q0*q1 + q2*q3;
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halfvz = q0*q0 - 0.5f + q3*q3;
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// Error is sum of cross product between estimated and measured direction of gravity
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halfex = (ay*halfvz - az*halfvy);
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halfey = (az*halfvx - ax*halfvz);
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halfez = (ax*halfvy - ay*halfvx);
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// Compute and apply integral feedback if enabled
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if(twoKi > 0.0f) {
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integralFBx += twoKi*halfex*dt; // integral error scaled by Ki
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integralFBy += twoKi*halfey*dt;
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integralFBz += twoKi*halfez*dt;
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gx += integralFBx; // apply integral feedback
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gy += integralFBy;
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gz += integralFBz;
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}
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else {
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integralFBx = 0.0f; // prevent integral windup
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integralFBy = 0.0f;
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integralFBz = 0.0f;
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}
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// Apply proportional feedback
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gx += twoKp*halfex;
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gy += twoKp*halfey;
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gz += twoKp*halfez;
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}
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// Integrate rate of change of quaternion
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gx *= (0.5f*dt); // pre-multiply common factors
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gy *= (0.5f*dt);
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gz *= (0.5f*dt);
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qa = q0;
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qb = q1;
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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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// Normalise quaternion
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recipNorm = invSqrt(q0*q0 + q1*q1 + q2*q2 + q3*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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q->w = q0;
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q->x = q1;
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q->y = q2;
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q->z = q3;
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}
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void quaternion_update(double dt, quaternion_t* q, mpu_value_t* m) {
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double q0 = q->w;
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double q0 = q->w;
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double q1 = q->x;
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double q1 = q->x;
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@@ -133,16 +226,15 @@ void ahrs_update(double dt, quaternion_t* q, mpu_value_t* m) {
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double recipNorm;
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double recipNorm;
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double s0, s1, s2, s3;
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double s0, s1, s2, s3;
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double qDot1, qDot2, qDot3, qDot4;
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double qDot1, qDot2, qDot3, qDot4;
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double _2q0, _2q1, _2q2, _2q3, _4q0, _4q1, _4q2, _8q1, _8q2, q0q0, q1q1, q2q2, q3q3;
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// Rate of change of quaternion from gyroscope
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// Rate of change of quaternion from gyroscope
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qDot1 = 0.5f * (-q1*gx - q2*gy - q3*gz);
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qDot1 = 0.5 * (-q1*gx - q2*gy - q3*gz);
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qDot2 = 0.5f * ( q0*gx + q2*gz - q3*gy);
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qDot2 = 0.5 * ( q0*gx + q2*gz - q3*gy);
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qDot3 = 0.5f * ( q0*gy - q1*gz + q3*gx);
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qDot3 = 0.5 * ( q0*gy - q1*gz + q3*gx);
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qDot4 = 0.5f * ( q0*gz + q1*gy - q2*gx);
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qDot4 = 0.5 * ( q0*gz + q1*gy - q2*gx);
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// Compute feedback only if accelerometer measurement valid (avoids NaN in accelerometer normalisation)
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// Compute feedback only if accelerometer measurement valid (avoids NaN in accelerometer normalisation)
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if (!((ax == 0.0f) && (ay == 0.0f) && (az == 0.0f))) {
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if (!((ax == 0.0) && (ay == 0.0) && (az == 0.0))) {
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// Normalise accelerometer measurement
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// Normalise accelerometer measurement
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recipNorm = invSqrt(ax*ax + ay*ay + az*az);
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recipNorm = invSqrt(ax*ax + ay*ay + az*az);
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@@ -150,28 +242,14 @@ void ahrs_update(double dt, quaternion_t* q, mpu_value_t* m) {
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ay *= recipNorm;
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ay *= recipNorm;
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az *= recipNorm;
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az *= recipNorm;
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// Auxiliary variables to avoid repeated arithmetic
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_2q0 = 2.0f * q0;
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_2q1 = 2.0f * q1;
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_2q2 = 2.0f * q2;
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_2q3 = 2.0f * q3;
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_4q0 = 4.0f * q0;
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_4q1 = 4.0f * q1;
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_4q2 = 4.0f * q2;
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_8q1 = 8.0f * q1;
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_8q2 = 8.0f * q2;
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q0q0 = q0 * q0;
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q1q1 = q1 * q1;
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q2q2 = q2 * q2;
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q3q3 = q3 * q3;
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// Gradient decent algorithm corrective step
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// Gradient decent algorithm corrective step
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s0 = _4q0*q2q2 + _2q2*ax + _4q0*q1q1 - _2q1*ay;
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s0 = 4.0*q0*q2*q2 + 2.0*q2*ax + 4.0*q0*q1*q1 - 2.0*q1*ay;
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s1 = _4q1*q3q3 - _2q3*ax + 4.0f*q0q0*q1 - _2q0*ay - _4q1 + _8q1*q1q1 + _8q1*q2q2 + _4q1*az;
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s1 = 4.0*q1*q3*q3 - 2.0*q3*ax + 4.0*q0*q0*q1 - 2.0*q0*ay - 4.0*q1 + 8.0*q1*q1*q1 + 8.0*q1*q2*q2 + 4.0*q1*az;
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s2 = 4.0f*q0q0*q2 + _2q0*ax + _4q2*q3q3 - _2q3*ay - _4q2 + _8q2*q1q1 + _8q2*q2q2 + _4q2*az;
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s2 = 4.0*q0*q0*q2 + 2.0*q0*ax + 4.0*q2*q3*q3 - 2.0*q3*ay - 4.0*q2 + 8.0*q2*q1*q1 + 8.0*q2*q2*q2 + 4.0*q2*az;
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s3 = 4.0f*q1q1*q3 - _2q1*ax + 4.0f*q2q2*q3 - _2q2*ay;
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s3 = 4.0*q1*q1*q3 - 2.0*q1*ax + 4.0*q2*q2*q3 - 2.0*q2*ay;
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recipNorm = invSqrt(s0*s0 + s1*s1 + s2*s2 + s3*s3); // normalise step magnitude
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// Normalise step magnitude
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recipNorm = invSqrt(s0*s0 + s1*s1 + s2*s2 + s3*s3);
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s0 *= recipNorm;
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s0 *= recipNorm;
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s1 *= recipNorm;
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s1 *= recipNorm;
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s2 *= recipNorm;
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s2 *= recipNorm;
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@@ -203,6 +281,7 @@ void ahrs_update(double dt, quaternion_t* q, mpu_value_t* m) {
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q->z = q3;
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q->z = q3;
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}
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}
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double radian2degrees(double radians) {
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double radian2degrees(double radians) {
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return radians * (180.0f / M_PI);
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return radians * (180.0f / M_PI);
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}
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}
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@@ -245,12 +324,12 @@ angle_t quaternion2xyz(quaternion_t* q) {
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double t0 = (x + z)*(x - z); // x^2-z^2
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double t0 = (x + z)*(x - z); // x^2-z^2
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double t1 = (w + y)*(w - y); // w^2-y^2
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double t1 = (w + y)*(w - y); // w^2-y^2
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double xx = 0.5f * (t0 + t1); // 1/2 x of x'
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double xx = 0.5 * (t0 + t1); // 1/2 x of x'
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double xy = x*y + w*z; // 1/2 y of x'
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double xy = x*y + w*z; // 1/2 y of x'
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double xz = w*y - x*z; // 1/2 z of x'
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double xz = w*y - x*z; // 1/2 z of x'
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double t = xx*xx + xy*xy; // cos(theta)^2
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double t = xx*xx + xy*xy; // cos(theta)^2
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double yz = 2.0f * (y*z + w*x); // z of y'
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double yz = 2.0 * (y*z + w*x); // z of y'
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a.z = atan2(xy, xx); // yaw (psi)
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a.z = atan2(xy, xx); // yaw (psi)
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a.y = atan(xz /sqrt(t)); // pitch (theta)
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a.y = atan(xz /sqrt(t)); // pitch (theta)
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@@ -263,6 +342,13 @@ angle_t quaternion2xyz(quaternion_t* q) {
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return a;
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return a;
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}
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}
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void angle_norm(angle_t* a) {
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double n = sqrt(a->x*a->x + a->y*a->y + a->z*a->z);
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a->x *= n;
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a->y *= n;
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a->z *= n;
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}
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int main(void) {
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int main(void) {
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@@ -273,35 +359,29 @@ int main(void) {
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i2c_setup();
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i2c_setup();
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systick_setup();
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systick_setup();
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printf("==== start ====\r\n");
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mpu_t mpu;
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mpu_t mpu;
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printf("==== mpu initialize ====\r\n");
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mpu_setup(&mpu, I2C1, 0x68);
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mpu_setup(&mpu, I2C1, 0x68);
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_delay(10);
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_delay(100);
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mpu_calibrate(&mpu, 20000);
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mpu_calibrate(&mpu, 20000);
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printf("==== mpu ====\r\n");
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printf("==== mpu started ====\r\n");
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mpu_value_t mval;
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mpu_value_t mval;
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uint32_t prev_ts = 0, last_ts = 0;
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quaternion_t q;
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quaternion_t q;
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quaternion_init(&q);
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quaternion_init(&q);
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int i = 0;
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uint32_t prev_ts = 0;
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uint32_t last_ts = 0;
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printf("==== main loop ====\r\n");
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while (true) {
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while (true) {
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mpu_read(&mpu, &mval);
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mpu_read(&mpu, &mval);
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gpio_toggle(GPIOB, GPIO6);
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//if ((i % 350) == 0) {
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// printf("gx=%8.4f gy=%8.4f gz=%8.4f ax=%8.4f ay=%8.4f az=%8.4f \r\n", mval.gx, mval.gy, mval.gz, mval.ax, mval.ay, mval.az);
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//}
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i++;
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last_ts = g_sys_tick_counter;
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last_ts = g_sys_tick_counter;
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float dt = (float)(last_ts - prev_ts) / (float)systic_freq;
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double dt = (float)(last_ts - prev_ts) / (float)systic_freq;
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prev_ts = last_ts;
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prev_ts = last_ts;
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ahrs_update(dt, &q, &mval);
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quaternion_update(dt, &q, &mval);
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angle_t a = quaternion2xyz(&q);
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angle_t a = quaternion2xyz(&q);
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angle_degress(&a);
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angle_degress(&a);
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@@ -94,6 +94,9 @@
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#define MPU_PWR2_STBY_YG_BIT 1
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#define MPU_PWR2_STBY_YG_BIT 1
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#define MPU_PWR2_STBY_ZG_BIT 0
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#define MPU_PWR2_STBY_ZG_BIT 0
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//static void i2cdev_reg_setbits(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t mask);
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//static void i2cdev_reg_cleanbits(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t mask);
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//static uint8_t i2cdev_read_reg8(uint32_t i2c, uint8_t addr, uint8_t reg);
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//static uint8_t i2cdev_read_reg8(uint32_t i2c, uint8_t addr, uint8_t reg);
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static void i2cdev_write_reg8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t value);
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static void i2cdev_write_reg8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t value);
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static void i2cdev_read_seq8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t* buffer, uint8_t size);
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static void i2cdev_read_seq8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t* buffer, uint8_t size);
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@@ -105,7 +108,13 @@ static void i2cdev_write_reg8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t v
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i2c_transfer7(i2c, addr, buffer, 2, NULL, 0);
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i2c_transfer7(i2c, addr, buffer, 2, NULL, 0);
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}
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}
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//static void i2cdev_reg_setbit(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t mask) {
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//static uint8_t i2cdev_read_reg8(uint32_t i2c, uint8_t addr, uint8_t reg) {
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// uint8_t val;
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// i2c_transfer7(i2c, addr, ®, 1, &val, 1);
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// return val;
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//}
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//static void i2cdev_reg_setbits(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t mask) {
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// uint8_t buffer[2];
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// uint8_t buffer[2];
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// buffer[0] = reg;
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// buffer[0] = reg;
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// buffer[1] = 0x00;
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// buffer[1] = 0x00;
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@@ -114,23 +123,25 @@ static void i2cdev_write_reg8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t v
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// i2c_transfer7(i2c, addr, buffer, 2, NULL, 0);
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// i2c_transfer7(i2c, addr, buffer, 2, NULL, 0);
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//}
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//}
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//static uint8_t i2cdev_read_reg8(uint32_t i2c, uint8_t addr, uint8_t reg) {
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//static void i2cdev_reg_cleanbits(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t mask) {
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// uint8_t val;
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// uint8_t buffer[2];
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// i2c_transfer7(i2c, addr, ®, 1, &val, 1);
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// buffer[0] = reg;
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// return val;
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// buffer[1] = 0x00;
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// i2c_transfer7(i2c, addr, &buffer[0], 1, &buffer[1], 1);
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// buffer[1] &= ~(mask);
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// i2c_transfer7(i2c, addr, buffer, 2, NULL, 0);
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//}
|
//}
|
||||||
|
|
||||||
|
|
||||||
static void i2cdev_read_seq8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t* buffer, uint8_t size) {
|
static void i2cdev_read_seq8(uint32_t i2c, uint8_t addr, uint8_t reg, uint8_t* buffer, uint8_t size) {
|
||||||
i2c_transfer7(i2c, addr, ®, 1, buffer, size);
|
i2c_transfer7(i2c, addr, ®, 1, buffer, size);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
#define MPU_GYRO_LSB MPU_GYRO_LSB_1000
|
#define MPU_GYRO_LSB MPU_GYRO_LSB_1000
|
||||||
#define MPU_GYRO_FS MPU_GYRO_FS_1000
|
#define MPU_GYRO_FS MPU_GYRO_FS_1000
|
||||||
|
|
||||||
#define MPU_ACCEL_LSB MPU_ACCEL_LSB_16
|
#define MPU_ACCEL_LSB MPU_ACCEL_LSB_16
|
||||||
#define MPU_ACCEL_FS MPU_ACCEL_FS_16
|
#define MPU_ACCEL_FS MPU_ACCEL_FS_16
|
||||||
|
|
||||||
void mpu_setup(mpu_t* mpu, uint32_t i2c, uint8_t addr) {
|
void mpu_setup(mpu_t* mpu, uint32_t i2c, uint8_t addr) {
|
||||||
|
|
||||||
@@ -145,8 +156,7 @@ void mpu_setup(mpu_t* mpu, uint32_t i2c, uint8_t addr) {
|
|||||||
mpu->err.gz = 0;
|
mpu->err.gz = 0;
|
||||||
|
|
||||||
//i2cdev_write_reg8(i2c, addr, MPU_REG_PWR_MGMT_1, 1 << MPU_PWR1_DEVICE_RESET_BIT);
|
//i2cdev_write_reg8(i2c, addr, MPU_REG_PWR_MGMT_1, 1 << MPU_PWR1_DEVICE_RESET_BIT);
|
||||||
|
//for (int i = 0; i < 10000; i++) __asm__("nop");
|
||||||
for (int i = 0; i < 10000; i++) __asm__("nop");
|
|
||||||
|
|
||||||
i2cdev_write_reg8(i2c, addr, MPU_REG_PWR_MGMT_1, 0x00);
|
i2cdev_write_reg8(i2c, addr, MPU_REG_PWR_MGMT_1, 0x00);
|
||||||
|
|
||||||
@@ -169,17 +179,17 @@ static void mpu_rawread(mpu_t* mpu, mpu_value_t* val) {
|
|||||||
int16_t gy = (((int16_t)buffer[10]) << 8) | buffer[11];
|
int16_t gy = (((int16_t)buffer[10]) << 8) | buffer[11];
|
||||||
int16_t gz = (((int16_t)buffer[12]) << 8) | buffer[13];
|
int16_t gz = (((int16_t)buffer[12]) << 8) | buffer[13];
|
||||||
|
|
||||||
val->ax = (float)ax / (float)MPU_ACCEL_LSB;
|
val->ax = (double)ax / (double)MPU_ACCEL_LSB;
|
||||||
val->ay = (float)ay / (float)MPU_ACCEL_LSB;
|
val->ay = (double)ay / (double)MPU_ACCEL_LSB;
|
||||||
val->az = (float)az / (float)MPU_ACCEL_LSB;
|
val->az = (double)az / (double)MPU_ACCEL_LSB;
|
||||||
|
|
||||||
val->gx = (float)gx / (float)MPU_GYRO_LSB;
|
val->gx = (double)gx / (double)MPU_GYRO_LSB;
|
||||||
val->gy = (float)gy / (float)MPU_GYRO_LSB;
|
val->gy = (double)gy / (double)MPU_GYRO_LSB;
|
||||||
val->gz = (float)gz / (float)MPU_GYRO_LSB;
|
val->gz = (double)gz / (double)MPU_GYRO_LSB;
|
||||||
|
|
||||||
val->gx *= M_PI / 180.0f;
|
val->gx *= M_PI / 180.0;
|
||||||
val->gy *= M_PI / 180.0f;
|
val->gy *= M_PI / 180.0;
|
||||||
val->gz *= M_PI / 180.0f;
|
val->gz *= M_PI / 180.0;
|
||||||
|
|
||||||
}
|
}
|
||||||
|
|
||||||
@@ -195,13 +205,15 @@ void mpu_calibrate(mpu_t* mpu, int count) {
|
|||||||
for (int i = 0; i < count; i++) {
|
for (int i = 0; i < count; i++) {
|
||||||
mpu_rawread(mpu, &val);
|
mpu_rawread(mpu, &val);
|
||||||
|
|
||||||
mpu->err.gx += (float)val.gx / count;
|
mpu->err.gx += val.gx / (double)count;
|
||||||
mpu->err.gy += (float)val.gy / count;
|
mpu->err.gy += val.gy / (double)count;
|
||||||
mpu->err.gz += (float)val.gz / count;
|
mpu->err.gz += val.gz / (double)count;
|
||||||
|
|
||||||
|
mpu->err.ax += val.ax / (double)count;
|
||||||
|
mpu->err.ay += val.ay / (double)count;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
void mpu_read(mpu_t* mpu, mpu_value_t* val) {
|
void mpu_read(mpu_t* mpu, mpu_value_t* val) {
|
||||||
mpu_rawread(mpu, val);
|
mpu_rawread(mpu, val);
|
||||||
|
|
||||||
@@ -209,4 +221,7 @@ void mpu_read(mpu_t* mpu, mpu_value_t* val) {
|
|||||||
val->gy -= mpu->err.gy;
|
val->gy -= mpu->err.gy;
|
||||||
val->gz -= mpu->err.gz;
|
val->gz -= mpu->err.gz;
|
||||||
|
|
||||||
|
val->ax -= mpu->err.ax;
|
||||||
|
val->ay -= mpu->err.ay;
|
||||||
|
val->az -= mpu->err.az;
|
||||||
}
|
}
|
||||||
|
|||||||
@@ -6,12 +6,12 @@
|
|||||||
#include <stdint.h>
|
#include <stdint.h>
|
||||||
|
|
||||||
typedef struct {
|
typedef struct {
|
||||||
float ax;
|
double ax;
|
||||||
float ay;
|
double ay;
|
||||||
float az;
|
double az;
|
||||||
float gx;
|
double gx;
|
||||||
float gy;
|
double gy;
|
||||||
float gz;
|
double gz;
|
||||||
} mpu_value_t;
|
} mpu_value_t;
|
||||||
|
|
||||||
typedef struct {
|
typedef struct {
|
||||||
|
|||||||
Reference in New Issue
Block a user