Added MadgwickAHRS

nopnop2002 · nopnop2002 · commit 2d49c153f4af · 2023-03-17T12:03:02.000+09:00
diff --git a/components/MadgwickAHRS/CMakeLists.txt b/components/MadgwickAHRS/CMakeLists.txt
@@ -0,0 +1,3 @@
+idf_component_register(SRCS "MadgwickAHRS.cpp"
+                      PRIV_REQUIRES esp_timer
+                      INCLUDE_DIRS ".")
diff --git a/components/MadgwickAHRS/MadgwickAHRS.cpp b/components/MadgwickAHRS/MadgwickAHRS.cpp
@@ -0,0 +1,260 @@
+//=============================================================================================
+// MadgwickAHRS.c
+//=============================================================================================
+//
+// Implementation of Madgwick's IMU and AHRS algorithms.
+// 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
+// 19/02/2012	SOH Madgwick	Magnetometer measurement is normalised
+//
+//=============================================================================================
+
+//-------------------------------------------------------------------------------------------
+// Header files
+
+#include "MadgwickAHRS.h"
+#include <math.h>
+
+//-------------------------------------------------------------------------------------------
+// Definitions
+
+#define sampleFreqDef   512.0f          // sample frequency in Hz
+#define betaDef         0.1f            // 2 * proportional gain
+
+
+//============================================================================================
+// Functions
+
+//-------------------------------------------------------------------------------------------
+// AHRS algorithm update
+
+Madgwick::Madgwick() {
+	beta = betaDef;
+	q0 = 1.0f;
+	q1 = 0.0f;
+	q2 = 0.0f;
+	q3 = 0.0f;
+	invSampleFreq = 1.0f / sampleFreqDef;
+	anglesComputed = 0;
+}
+
+void Madgwick::update(float gx, float gy, float gz, float ax, float ay, float az, float mx, float my, float mz, float dt) {
+	float recipNorm;
+	float s0, s1, s2, s3;
+	float qDot1, qDot2, qDot3, qDot4;
+	float hx, hy;
+	float _2q0mx, _2q0my, _2q0mz, _2q1mx, _2bx, _2bz, _4bx, _4bz, _2q0, _2q1, _2q2, _2q3, _2q0q2, _2q2q3, q0q0, q0q1, q0q2, q0q3, q1q1, q1q2, q1q3, q2q2, q2q3, q3q3;
+
+	// 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, dt);
+		return;
+	}
+
+	// Convert gyroscope degrees/sec to radians/sec
+	gx *= 0.0174533f;
+	gy *= 0.0174533f;
+	gz *= 0.0174533f;
+
+	// Rate of change of quaternion from gyroscope
+	qDot1 = 0.5f * (-q1 * gx - q2 * gy - q3 * gz);
+	qDot2 = 0.5f * (q0 * gx + q2 * gz - q3 * gy);
+	qDot3 = 0.5f * (q0 * gy - q1 * gz + q3 * gx);
+	qDot4 = 0.5f * (q0 * gz + q1 * gy - q2 * gx);
+
+	// 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
+		_2q0mx = 2.0f * q0 * mx;
+		_2q0my = 2.0f * q0 * my;
+		_2q0mz = 2.0f * q0 * mz;
+		_2q1mx = 2.0f * q1 * mx;
+		_2q0 = 2.0f * q0;
+		_2q1 = 2.0f * q1;
+		_2q2 = 2.0f * q2;
+		_2q3 = 2.0f * q3;
+		_2q0q2 = 2.0f * q0 * q2;
+		_2q2q3 = 2.0f * q2 * q3;
+		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 = mx * q0q0 - _2q0my * q3 + _2q0mz * q2 + mx * q1q1 + _2q1 * my * q2 + _2q1 * mz * q3 - mx * q2q2 - mx * q3q3;
+		hy = _2q0mx * q3 + my * q0q0 - _2q0mz * q1 + _2q1mx * q2 - my * q1q1 + my * q2q2 + _2q2 * mz * q3 - my * q3q3;
+		_2bx = sqrtf(hx * hx + hy * hy);
+		_2bz = -_2q0mx * q2 + _2q0my * q1 + mz * q0q0 + _2q1mx * q3 - mz * q1q1 + _2q2 * my * q3 - mz * q2q2 + mz * q3q3;
+		_4bx = 2.0f * _2bx;
+		_4bz = 2.0f * _2bz;
+
+		// Gradient decent algorithm corrective step
+		s0 = -_2q2 * (2.0f * q1q3 - _2q0q2 - ax) + _2q1 * (2.0f * q0q1 + _2q2q3 - ay) - _2bz * q2 * (_2bx * (0.5f - q2q2 - q3q3) + _2bz * (q1q3 - q0q2) - mx) + (-_2bx * q3 + _2bz * q1) * (_2bx * (q1q2 - q0q3) + _2bz * (q0q1 + q2q3) - my) + _2bx * q2 * (_2bx * (q0q2 + q1q3) + _2bz * (0.5f - q1q1 - q2q2) - mz);
+		s1 = _2q3 * (2.0f * q1q3 - _2q0q2 - ax) + _2q0 * (2.0f * q0q1 + _2q2q3 - ay) - 4.0f * q1 * (1 - 2.0f * q1q1 - 2.0f * q2q2 - az) + _2bz * q3 * (_2bx * (0.5f - q2q2 - q3q3) + _2bz * (q1q3 - q0q2) - mx) + (_2bx * q2 + _2bz * q0) * (_2bx * (q1q2 - q0q3) + _2bz * (q0q1 + q2q3) - my) + (_2bx * q3 - _4bz * q1) * (_2bx * (q0q2 + q1q3) + _2bz * (0.5f - q1q1 - q2q2) - mz);
+		s2 = -_2q0 * (2.0f * q1q3 - _2q0q2 - ax) + _2q3 * (2.0f * q0q1 + _2q2q3 - ay) - 4.0f * q2 * (1 - 2.0f * q1q1 - 2.0f * q2q2 - az) + (-_4bx * q2 - _2bz * q0) * (_2bx * (0.5f - q2q2 - q3q3) + _2bz * (q1q3 - q0q2) - mx) + (_2bx * q1 + _2bz * q3) * (_2bx * (q1q2 - q0q3) + _2bz * (q0q1 + q2q3) - my) + (_2bx * q0 - _4bz * q2) * (_2bx * (q0q2 + q1q3) + _2bz * (0.5f - q1q1 - q2q2) - mz);
+		s3 = _2q1 * (2.0f * q1q3 - _2q0q2 - ax) + _2q2 * (2.0f * q0q1 + _2q2q3 - ay) + (-_4bx * q3 + _2bz * q1) * (_2bx * (0.5f - q2q2 - q3q3) + _2bz * (q1q3 - q0q2) - mx) + (-_2bx * q0 + _2bz * q2) * (_2bx * (q1q2 - q0q3) + _2bz * (q0q1 + q2q3) - my) + _2bx * q1 * (_2bx * (q0q2 + q1q3) + _2bz * (0.5f - q1q1 - q2q2) - mz);
+		recipNorm = invSqrt(s0 * s0 + s1 * s1 + s2 * s2 + s3 * s3); // normalise step magnitude
+		s0 *= recipNorm;
+		s1 *= recipNorm;
+		s2 *= recipNorm;
+		s3 *= recipNorm;
+
+		// Apply feedback step
+		qDot1 -= beta * s0;
+		qDot2 -= beta * s1;
+		qDot3 -= beta * s2;
+		qDot4 -= beta * s3;
+	}
+
+	// Integrate rate of change of quaternion to yield quaternion
+	//q0 += qDot1 * invSampleFreq;
+	//q1 += qDot2 * invSampleFreq;
+	//q2 += qDot3 * invSampleFreq;
+	//q3 += qDot4 * invSampleFreq;
+	q0 += qDot1 * dt;
+	q1 += qDot2 * dt;
+	q2 += qDot3 * dt;
+	q3 += qDot4 * dt;
+
+	// 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 Madgwick::updateIMU(float gx, float gy, float gz, float ax, float ay, float az, float dt) {
+	float recipNorm;
+	float s0, s1, s2, s3;
+	float qDot1, qDot2, qDot3, qDot4;
+	float _2q0, _2q1, _2q2, _2q3, _4q0, _4q1, _4q2 ,_8q1, _8q2, q0q0, q1q1, q2q2, q3q3;
+
+	// Convert gyroscope degrees/sec to radians/sec
+	gx *= 0.0174533f;
+	gy *= 0.0174533f;
+	gz *= 0.0174533f;
+
+	// Rate of change of quaternion from gyroscope
+	qDot1 = 0.5f * (-q1 * gx - q2 * gy - q3 * gz);
+	qDot2 = 0.5f * (q0 * gx + q2 * gz - q3 * gy);
+	qDot3 = 0.5f * (q0 * gy - q1 * gz + q3 * gx);
+	qDot4 = 0.5f * (q0 * gz + q1 * gy - q2 * gx);
+
+	// 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;
+
+		// Auxiliary variables to avoid repeated arithmetic
+		_2q0 = 2.0f * q0;
+		_2q1 = 2.0f * q1;
+		_2q2 = 2.0f * q2;
+		_2q3 = 2.0f * q3;
+		_4q0 = 4.0f * q0;
+		_4q1 = 4.0f * q1;
+		_4q2 = 4.0f * q2;
+		_8q1 = 8.0f * q1;
+		_8q2 = 8.0f * q2;
+		q0q0 = q0 * q0;
+		q1q1 = q1 * q1;
+		q2q2 = q2 * q2;
+		q3q3 = q3 * q3;
+
+		// Gradient decent algorithm corrective step
+		s0 = _4q0 * q2q2 + _2q2 * ax + _4q0 * q1q1 - _2q1 * ay;
+		s1 = _4q1 * q3q3 - _2q3 * ax + 4.0f * q0q0 * q1 - _2q0 * ay - _4q1 + _8q1 * q1q1 + _8q1 * q2q2 + _4q1 * az;
+		s2 = 4.0f * q0q0 * q2 + _2q0 * ax + _4q2 * q3q3 - _2q3 * ay - _4q2 + _8q2 * q1q1 + _8q2 * q2q2 + _4q2 * az;
+		s3 = 4.0f * q1q1 * q3 - _2q1 * ax + 4.0f * q2q2 * q3 - _2q2 * ay;
+		recipNorm = invSqrt(s0 * s0 + s1 * s1 + s2 * s2 + s3 * s3); // normalise step magnitude
+		s0 *= recipNorm;
+		s1 *= recipNorm;
+		s2 *= recipNorm;
+		s3 *= recipNorm;
+
+		// Apply feedback step
+		qDot1 -= beta * s0;
+		qDot2 -= beta * s1;
+		qDot3 -= beta * s2;
+		qDot4 -= beta * s3;
+	}
+
+	// Integrate rate of change of quaternion to yield quaternion
+	//q0 += qDot1 * invSampleFreq;
+	//q1 += qDot2 * invSampleFreq;
+	//q2 += qDot3 * invSampleFreq;
+	//q3 += qDot4 * invSampleFreq;
+	q0 += qDot1 * dt;
+	q1 += qDot2 * dt;
+	q2 += qDot3 * dt;
+	q3 += qDot4 * dt;
+
+	// 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 Madgwick::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 Madgwick::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;
+}
+
+
diff --git a/components/MadgwickAHRS/MadgwickAHRS.h b/components/MadgwickAHRS/MadgwickAHRS.h
@@ -0,0 +1,74 @@
+//=============================================================================================
+// MadgwickAHRS.h
+//=============================================================================================
+//
+// Implementation of Madgwick's IMU and AHRS algorithms.
+// 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
+//
+//=============================================================================================
+#ifndef MadgwickAHRS_h
+#define MadgwickAHRS_h
+#include <math.h>
+
+//--------------------------------------------------------------------------------------------
+// Variable declaration
+class Madgwick{
+private:
+    static float invSqrt(float x);
+    float beta;				// algorithm gain
+    float q0;
+    float q1;
+    float q2;
+    float q3;	// quaternion of sensor frame relative to auxiliary frame
+    float invSampleFreq;
+    float roll;
+    float pitch;
+    float yaw;
+    char anglesComputed;
+    void computeAngles();
+
+//-------------------------------------------------------------------------------------------
+// Function declarations
+public:
+    Madgwick(void);
+    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, float dt);
+    void updateIMU(float gx, float gy, float gz, float ax, float ay, float az, float dt);
+    //float getPitch(){return atan2f(2.0f * q2 * q3 - 2.0f * q0 * q1, 2.0f * q0 * q0 + 2.0f * q3 * q3 - 1.0f);};
+    //float getRoll(){return -1.0f * asinf(2.0f * q1 * q3 + 2.0f * q0 * q2);};
+    //float getYaw(){return atan2f(2.0f * q1 * q2 - 2.0f * q0 * q3, 2.0f * q0 * q0 + 2.0f * q1 * q1 - 1.0f);};
+    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
+
diff --git a/components/MadgwickAHRS/component.mk b/components/MadgwickAHRS/component.mk
@@ -0,0 +1,10 @@
+#
+# Main component makefile.
+#
+# This Makefile can be left empty. By default, it will take the sources in the 
+# src/ directory, compile them and link them into lib(subdirectory_name).a 
+# in the build directory. This behaviour is entirely configurable,
+# please read the ESP-IDF documents if you need to do this.
+#
+
+COMPONENT_ADD_INCLUDEDIRS=.

Original file line number	Diff line number	Diff line change
`@@ -0,0 +1,3 @@`
	`1`	`+idf_component_register(SRCS "MadgwickAHRS.cpp"`
	`2`	`+ PRIV_REQUIRES esp_timer`
	`3`	`+ INCLUDE_DIRS ".")`