This repository has been archived by the owner on Jun 23, 2024. It is now read-only.
-
Notifications
You must be signed in to change notification settings - Fork 3
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Documented non-DMP software. Checked switching between DMP & non-DMP
- Loading branch information
Vedran
committed
Jan 28, 2018
1 parent
57ea78a
commit 88bbe3d
Showing
9 changed files
with
409 additions
and
29 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,274 @@ | ||
//============================================================================================= | ||
// MahonyAHRS.c | ||
//============================================================================================= | ||
// | ||
// Madgwick's implementation of Mayhony's AHRS algorithm. | ||
// See: http://www.x-io.co.uk/open-source-imu-and-ahrs-algorithms/ | ||
// | ||
// From the x-io website "Open-source resources available on this website are | ||
// provided under the GNU General Public Licence unless an alternative licence | ||
// is provided in source." | ||
// | ||
// Date Author Notes | ||
// 29/09/2011 SOH Madgwick Initial release | ||
// 02/10/2011 SOH Madgwick Optimised for reduced CPU load | ||
// | ||
// Algorithm paper: | ||
// http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=4608934&url=http%3A%2F%2Fieeexplore.ieee.org%2Fstamp%2Fstamp.jsp%3Ftp%3D%26arnumber%3D4608934 | ||
// | ||
//============================================================================================= | ||
|
||
//------------------------------------------------------------------------------------------- | ||
// Header files | ||
|
||
#include "MahonyAHRS.h" | ||
#include <math.h> | ||
|
||
//------------------------------------------------------------------------------------------- | ||
// Definitions | ||
|
||
#define DEFAULT_SAMPLE_FREQ 20.0f // sample frequency in Hz | ||
#define twoKpDef (2.0f * 0.5f) // 2 * proportional gain | ||
#define twoKiDef (2.0f * 0.0f) // 2 * integral gain | ||
|
||
|
||
//============================================================================================ | ||
// Functions | ||
|
||
//------------------------------------------------------------------------------------------- | ||
// AHRS algorithm update | ||
|
||
Mahony::Mahony() | ||
{ | ||
twoKp = twoKpDef; // 2 * proportional gain (Kp) | ||
twoKi = twoKiDef; // 2 * integral gain (Ki) | ||
q0 = 1.0f; | ||
q1 = 0.0f; | ||
q2 = 0.0f; | ||
q3 = 0.0f; | ||
integralFBx = 0.0f; | ||
integralFBy = 0.0f; | ||
integralFBz = 0.0f; | ||
anglesComputed = 0; | ||
invSampleFreq = 1.0f / DEFAULT_SAMPLE_FREQ; | ||
} | ||
|
||
void Mahony::update(float gx, float gy, float gz, float ax, float ay, float az, float mx, float my, float mz) | ||
{ | ||
float recipNorm; | ||
float q0q0, q0q1, q0q2, q0q3, q1q1, q1q2, q1q3, q2q2, q2q3, q3q3; | ||
float hx, hy, bx, bz; | ||
float halfvx, halfvy, halfvz, halfwx, halfwy, halfwz; | ||
float halfex, halfey, halfez; | ||
float qa, qb, qc; | ||
|
||
// Use IMU algorithm if magnetometer measurement invalid | ||
// (avoids NaN in magnetometer normalisation) | ||
if((mx == 0.0f) && (my == 0.0f) && (mz == 0.0f)) { | ||
updateIMU(gx, gy, gz, ax, ay, az); | ||
return; | ||
} | ||
|
||
// Convert gyroscope degrees/sec to radians/sec | ||
gx *= 0.0174533f; | ||
gy *= 0.0174533f; | ||
gz *= 0.0174533f; | ||
|
||
// Compute feedback only if accelerometer measurement valid | ||
// (avoids NaN in accelerometer normalisation) | ||
if(!((ax == 0.0f) && (ay == 0.0f) && (az == 0.0f))) { | ||
|
||
// Normalise accelerometer measurement | ||
recipNorm = invSqrt(ax * ax + ay * ay + az * az); | ||
ax *= recipNorm; | ||
ay *= recipNorm; | ||
az *= recipNorm; | ||
|
||
// Normalise magnetometer measurement | ||
recipNorm = invSqrt(mx * mx + my * my + mz * mz); | ||
mx *= recipNorm; | ||
my *= recipNorm; | ||
mz *= recipNorm; | ||
|
||
// Auxiliary variables to avoid repeated arithmetic | ||
q0q0 = q0 * q0; | ||
q0q1 = q0 * q1; | ||
q0q2 = q0 * q2; | ||
q0q3 = q0 * q3; | ||
q1q1 = q1 * q1; | ||
q1q2 = q1 * q2; | ||
q1q3 = q1 * q3; | ||
q2q2 = q2 * q2; | ||
q2q3 = q2 * q3; | ||
q3q3 = q3 * q3; | ||
|
||
// Reference direction of Earth's magnetic field | ||
hx = 2.0f * (mx * (0.5f - q2q2 - q3q3) + my * (q1q2 - q0q3) + mz * (q1q3 + q0q2)); | ||
hy = 2.0f * (mx * (q1q2 + q0q3) + my * (0.5f - q1q1 - q3q3) + mz * (q2q3 - q0q1)); | ||
bx = sqrtf(hx * hx + hy * hy); | ||
bz = 2.0f * (mx * (q1q3 - q0q2) + my * (q2q3 + q0q1) + mz * (0.5f - q1q1 - q2q2)); | ||
|
||
// Estimated direction of gravity and magnetic field | ||
halfvx = q1q3 - q0q2; | ||
halfvy = q0q1 + q2q3; | ||
halfvz = q0q0 - 0.5f + q3q3; | ||
halfwx = bx * (0.5f - q2q2 - q3q3) + bz * (q1q3 - q0q2); | ||
halfwy = bx * (q1q2 - q0q3) + bz * (q0q1 + q2q3); | ||
halfwz = bx * (q0q2 + q1q3) + bz * (0.5f - q1q1 - q2q2); | ||
|
||
// Error is sum of cross product between estimated direction | ||
// and measured direction of field vectors | ||
halfex = (ay * halfvz - az * halfvy) + (my * halfwz - mz * halfwy); | ||
halfey = (az * halfvx - ax * halfvz) + (mz * halfwx - mx * halfwz); | ||
halfez = (ax * halfvy - ay * halfvx) + (mx * halfwy - my * halfwx); | ||
|
||
// Compute and apply integral feedback if enabled | ||
if(twoKi > 0.0f) { | ||
// integral error scaled by Ki | ||
integralFBx += twoKi * halfex * invSampleFreq; | ||
integralFBy += twoKi * halfey * invSampleFreq; | ||
integralFBz += twoKi * halfez * invSampleFreq; | ||
gx += integralFBx; // apply integral feedback | ||
gy += integralFBy; | ||
gz += integralFBz; | ||
} else { | ||
integralFBx = 0.0f; // prevent integral windup | ||
integralFBy = 0.0f; | ||
integralFBz = 0.0f; | ||
} | ||
|
||
// Apply proportional feedback | ||
gx += twoKp * halfex; | ||
gy += twoKp * halfey; | ||
gz += twoKp * halfez; | ||
} | ||
|
||
// Integrate rate of change of quaternion | ||
gx *= (0.5f * invSampleFreq); // pre-multiply common factors | ||
gy *= (0.5f * invSampleFreq); | ||
gz *= (0.5f * invSampleFreq); | ||
qa = q0; | ||
qb = q1; | ||
qc = q2; | ||
q0 += (-qb * gx - qc * gy - q3 * gz); | ||
q1 += (qa * gx + qc * gz - q3 * gy); | ||
q2 += (qa * gy - qb * gz + q3 * gx); | ||
q3 += (qa * gz + qb * gy - qc * gx); | ||
|
||
// Normalise quaternion | ||
recipNorm = invSqrt(q0 * q0 + q1 * q1 + q2 * q2 + q3 * q3); | ||
q0 *= recipNorm; | ||
q1 *= recipNorm; | ||
q2 *= recipNorm; | ||
q3 *= recipNorm; | ||
anglesComputed = 0; | ||
} | ||
|
||
//------------------------------------------------------------------------------------------- | ||
// IMU algorithm update | ||
|
||
void Mahony::updateIMU(float gx, float gy, float gz, float ax, float ay, float az) | ||
{ | ||
float recipNorm; | ||
float halfvx, halfvy, halfvz; | ||
float halfex, halfey, halfez; | ||
float qa, qb, qc; | ||
|
||
// Convert gyroscope degrees/sec to radians/sec | ||
gx *= 0.0174533f; | ||
gy *= 0.0174533f; | ||
gz *= 0.0174533f; | ||
|
||
// Compute feedback only if accelerometer measurement valid | ||
// (avoids NaN in accelerometer normalisation) | ||
if(!((ax == 0.0f) && (ay == 0.0f) && (az == 0.0f))) { | ||
|
||
// Normalise accelerometer measurement | ||
recipNorm = invSqrt(ax * ax + ay * ay + az * az); | ||
ax *= recipNorm; | ||
ay *= recipNorm; | ||
az *= recipNorm; | ||
|
||
// Estimated direction of gravity | ||
halfvx = q1 * q3 - q0 * q2; | ||
halfvy = q0 * q1 + q2 * q3; | ||
halfvz = q0 * q0 - 0.5f + q3 * q3; | ||
|
||
// Error is sum of cross product between estimated | ||
// and measured direction of gravity | ||
halfex = (ay * halfvz - az * halfvy); | ||
halfey = (az * halfvx - ax * halfvz); | ||
halfez = (ax * halfvy - ay * halfvx); | ||
|
||
// Compute and apply integral feedback if enabled | ||
if(twoKi > 0.0f) { | ||
// integral error scaled by Ki | ||
integralFBx += twoKi * halfex * invSampleFreq; | ||
integralFBy += twoKi * halfey * invSampleFreq; | ||
integralFBz += twoKi * halfez * invSampleFreq; | ||
gx += integralFBx; // apply integral feedback | ||
gy += integralFBy; | ||
gz += integralFBz; | ||
} else { | ||
integralFBx = 0.0f; // prevent integral windup | ||
integralFBy = 0.0f; | ||
integralFBz = 0.0f; | ||
} | ||
|
||
// Apply proportional feedback | ||
gx += twoKp * halfex; | ||
gy += twoKp * halfey; | ||
gz += twoKp * halfez; | ||
} | ||
|
||
// Integrate rate of change of quaternion | ||
gx *= (0.5f * invSampleFreq); // pre-multiply common factors | ||
gy *= (0.5f * invSampleFreq); | ||
gz *= (0.5f * invSampleFreq); | ||
qa = q0; | ||
qb = q1; | ||
qc = q2; | ||
q0 += (-qb * gx - qc * gy - q3 * gz); | ||
q1 += (qa * gx + qc * gz - q3 * gy); | ||
q2 += (qa * gy - qb * gz + q3 * gx); | ||
q3 += (qa * gz + qb * gy - qc * gx); | ||
|
||
// Normalise quaternion | ||
recipNorm = invSqrt(q0 * q0 + q1 * q1 + q2 * q2 + q3 * q3); | ||
q0 *= recipNorm; | ||
q1 *= recipNorm; | ||
q2 *= recipNorm; | ||
q3 *= recipNorm; | ||
anglesComputed = 0; | ||
} | ||
|
||
//------------------------------------------------------------------------------------------- | ||
// Fast inverse square-root | ||
// See: http://en.wikipedia.org/wiki/Fast_inverse_square_root | ||
|
||
float Mahony::invSqrt(float x) | ||
{ | ||
float halfx = 0.5f * x; | ||
float y = x; | ||
long i = *(long*)&y; | ||
i = 0x5f3759df - (i>>1); | ||
y = *(float*)&i; | ||
y = y * (1.5f - (halfx * y * y)); | ||
y = y * (1.5f - (halfx * y * y)); | ||
return y; | ||
} | ||
|
||
//------------------------------------------------------------------------------------------- | ||
|
||
void Mahony::computeAngles() | ||
{ | ||
roll = atan2f(q0*q1 + q2*q3, 0.5f - q1*q1 - q2*q2); | ||
pitch = asinf(-2.0f * (q1*q3 - q0*q2)); | ||
yaw = atan2f(q1*q2 + q0*q3, 0.5f - q2*q2 - q3*q3); | ||
anglesComputed = 1; | ||
} | ||
|
||
|
||
//============================================================================================ | ||
// END OF CODE | ||
//============================================================================================ |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,66 @@ | ||
//============================================================================================= | ||
// MahonyAHRS.h | ||
//============================================================================================= | ||
// | ||
// Madgwick's implementation of Mayhony's AHRS algorithm. | ||
// See: http://www.x-io.co.uk/open-source-imu-and-ahrs-algorithms/ | ||
// | ||
// Date Author Notes | ||
// 29/09/2011 SOH Madgwick Initial release | ||
// 02/10/2011 SOH Madgwick Optimised for reduced CPU load | ||
// | ||
//============================================================================================= | ||
#ifndef MahonyAHRS_h | ||
#define MahonyAHRS_h | ||
#include <math.h> | ||
|
||
//-------------------------------------------------------------------------------------------- | ||
// Variable declaration | ||
|
||
class Mahony { | ||
private: | ||
float twoKp; // 2 * proportional gain (Kp) | ||
float twoKi; // 2 * integral gain (Ki) | ||
float q0, q1, q2, q3; // quaternion of sensor frame relative to auxiliary frame | ||
float integralFBx, integralFBy, integralFBz; // integral error terms scaled by Ki | ||
float invSampleFreq; | ||
float roll, pitch, yaw; | ||
char anglesComputed; | ||
static float invSqrt(float x); | ||
void computeAngles(); | ||
|
||
//------------------------------------------------------------------------------------------- | ||
// Function declarations | ||
|
||
public: | ||
Mahony(); | ||
void begin(float sampleFrequency) { invSampleFreq = 1.0f / sampleFrequency; } | ||
void update(float gx, float gy, float gz, float ax, float ay, float az, float mx, float my, float mz); | ||
void updateIMU(float gx, float gy, float gz, float ax, float ay, float az); | ||
float getRoll() { | ||
if (!anglesComputed) computeAngles(); | ||
return roll * 57.29578f; | ||
} | ||
float getPitch() { | ||
if (!anglesComputed) computeAngles(); | ||
return pitch * 57.29578f; | ||
} | ||
float getYaw() { | ||
if (!anglesComputed) computeAngles(); | ||
return yaw * 57.29578f + 180.0f; | ||
} | ||
float getRollRadians() { | ||
if (!anglesComputed) computeAngles(); | ||
return roll; | ||
} | ||
float getPitchRadians() { | ||
if (!anglesComputed) computeAngles(); | ||
return pitch; | ||
} | ||
float getYawRadians() { | ||
if (!anglesComputed) computeAngles(); | ||
return yaw; | ||
} | ||
}; | ||
|
||
#endif |
Oops, something went wrong.