Mavlink Messages for Emaxx Nav Board
Dependents: Madpulse_Speed_Control_temp Madpulse_Speed_Control_Students
Revision 1:7e9af9a921f7, committed 2017-01-20
- Comitter:
- jdawkins
- Date:
- Fri Jan 20 13:27:11 2017 +0000
- Parent:
- 0:bb2cacd02294
- Commit message:
- Fixed Asin error in mavlink_conversions.h
Changed in this revision
mavlink_conversions.h | Show annotated file Show diff for this revision Revisions of this file |
--- a/mavlink_conversions.h Fri Jan 20 13:20:58 2017 +0000 +++ b/mavlink_conversions.h Fri Jan 20 13:27:11 2017 +0000 @@ -1,212 +1,212 @@ -#ifndef _MAVLINK_CONVERSIONS_H_ -#define _MAVLINK_CONVERSIONS_H_ - -/* enable math defines on Windows */ -#ifdef _MSC_VER -#ifndef _USE_MATH_DEFINES -#define _USE_MATH_DEFINES -#endif -#endif -#include <math.h> - -#ifndef M_PI_2 - #define M_PI_2 ((float)asin(1)) -#endif - -/** - * @file mavlink_conversions.h - * - * These conversion functions follow the NASA rotation standards definition file - * available online. - * - * Their intent is to lower the barrier for MAVLink adopters to use gimbal-lock free - * (both rotation matrices, sometimes called DCM, and quaternions are gimbal-lock free) - * rotation representations. Euler angles (roll, pitch, yaw) will be phased out of the - * protocol as widely as possible. - * - * @author James Goppert - * @author Thomas Gubler <thomasgubler@gmail.com> - */ - - -/** - * Converts a quaternion to a rotation matrix - * - * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) - * @param dcm a 3x3 rotation matrix - */ -MAVLINK_HELPER void mavlink_quaternion_to_dcm(const float quaternion[4], float dcm[3][3]) -{ - double a = quaternion[0]; - double b = quaternion[1]; - double c = quaternion[2]; - double d = quaternion[3]; - double aSq = a * a; - double bSq = b * b; - double cSq = c * c; - double dSq = d * d; - dcm[0][0] = aSq + bSq - cSq - dSq; - dcm[0][1] = 2 * (b * c - a * d); - dcm[0][2] = 2 * (a * c + b * d); - dcm[1][0] = 2 * (b * c + a * d); - dcm[1][1] = aSq - bSq + cSq - dSq; - dcm[1][2] = 2 * (c * d - a * b); - dcm[2][0] = 2 * (b * d - a * c); - dcm[2][1] = 2 * (a * b + c * d); - dcm[2][2] = aSq - bSq - cSq + dSq; -} - - -/** - * Converts a rotation matrix to euler angles - * - * @param dcm a 3x3 rotation matrix - * @param roll the roll angle in radians - * @param pitch the pitch angle in radians - * @param yaw the yaw angle in radians - */ -MAVLINK_HELPER void mavlink_dcm_to_euler(const float dcm[3][3], float* roll, float* pitch, float* yaw) -{ - float phi, theta, psi; - theta = asin(-dcm[2][0]); - - if (fabsf(theta - (float)M_PI_2) < 1.0e-3f) { - phi = 0.0f; - psi = (atan2f(dcm[1][2] - dcm[0][1], - dcm[0][2] + dcm[1][1]) + phi); - - } else if (fabsf(theta + (float)M_PI_2) < 1.0e-3f) { - phi = 0.0f; - psi = atan2f(dcm[1][2] - dcm[0][1], - dcm[0][2] + dcm[1][1] - phi); - - } else { - phi = atan2f(dcm[2][1], dcm[2][2]); - psi = atan2f(dcm[1][0], dcm[0][0]); - } - - *roll = phi; - *pitch = theta; - *yaw = psi; -} - - -/** - * Converts a quaternion to euler angles - * - * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) - * @param roll the roll angle in radians - * @param pitch the pitch angle in radians - * @param yaw the yaw angle in radians - */ -MAVLINK_HELPER void mavlink_quaternion_to_euler(const float quaternion[4], float* roll, float* pitch, float* yaw) -{ - float dcm[3][3]; - mavlink_quaternion_to_dcm(quaternion, dcm); - mavlink_dcm_to_euler((const float(*)[3])dcm, roll, pitch, yaw); -} - - -/** - * Converts euler angles to a quaternion - * - * @param roll the roll angle in radians - * @param pitch the pitch angle in radians - * @param yaw the yaw angle in radians - * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) - */ -MAVLINK_HELPER void mavlink_euler_to_quaternion(float roll, float pitch, float yaw, float quaternion[4]) -{ - float cosPhi_2 = cosf(roll / 2); - float sinPhi_2 = sinf(roll / 2); - float cosTheta_2 = cosf(pitch / 2); - float sinTheta_2 = sinf(pitch / 2); - float cosPsi_2 = cosf(yaw / 2); - float sinPsi_2 = sinf(yaw / 2); - quaternion[0] = (cosPhi_2 * cosTheta_2 * cosPsi_2 + - sinPhi_2 * sinTheta_2 * sinPsi_2); - quaternion[1] = (sinPhi_2 * cosTheta_2 * cosPsi_2 - - cosPhi_2 * sinTheta_2 * sinPsi_2); - quaternion[2] = (cosPhi_2 * sinTheta_2 * cosPsi_2 + - sinPhi_2 * cosTheta_2 * sinPsi_2); - quaternion[3] = (cosPhi_2 * cosTheta_2 * sinPsi_2 - - sinPhi_2 * sinTheta_2 * cosPsi_2); -} - - -/** - * Converts a rotation matrix to a quaternion - * Reference: - * - Shoemake, Quaternions, - * http://www.cs.ucr.edu/~vbz/resources/quatut.pdf - * - * @param dcm a 3x3 rotation matrix - * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) - */ -MAVLINK_HELPER void mavlink_dcm_to_quaternion(const float dcm[3][3], float quaternion[4]) -{ - float tr = dcm[0][0] + dcm[1][1] + dcm[2][2]; - if (tr > 0.0f) { - float s = sqrtf(tr + 1.0f); - quaternion[0] = s * 0.5f; - s = 0.5f / s; - quaternion[1] = (dcm[2][1] - dcm[1][2]) * s; - quaternion[2] = (dcm[0][2] - dcm[2][0]) * s; - quaternion[3] = (dcm[1][0] - dcm[0][1]) * s; - } else { - /* Find maximum diagonal element in dcm - * store index in dcm_i */ - int dcm_i = 0; - int i; - for (i = 1; i < 3; i++) { - if (dcm[i][i] > dcm[dcm_i][dcm_i]) { - dcm_i = i; - } - } - - int dcm_j = (dcm_i + 1) % 3; - int dcm_k = (dcm_i + 2) % 3; - - float s = sqrtf((dcm[dcm_i][dcm_i] - dcm[dcm_j][dcm_j] - - dcm[dcm_k][dcm_k]) + 1.0f); - quaternion[dcm_i + 1] = s * 0.5f; - s = 0.5f / s; - quaternion[dcm_j + 1] = (dcm[dcm_i][dcm_j] + dcm[dcm_j][dcm_i]) * s; - quaternion[dcm_k + 1] = (dcm[dcm_k][dcm_i] + dcm[dcm_i][dcm_k]) * s; - quaternion[0] = (dcm[dcm_k][dcm_j] - dcm[dcm_j][dcm_k]) * s; - } -} - - -/** - * Converts euler angles to a rotation matrix - * - * @param roll the roll angle in radians - * @param pitch the pitch angle in radians - * @param yaw the yaw angle in radians - * @param dcm a 3x3 rotation matrix - */ -MAVLINK_HELPER void mavlink_euler_to_dcm(float roll, float pitch, float yaw, float dcm[3][3]) -{ - float cosPhi = cosf(roll); - float sinPhi = sinf(roll); - float cosThe = cosf(pitch); - float sinThe = sinf(pitch); - float cosPsi = cosf(yaw); - float sinPsi = sinf(yaw); - - dcm[0][0] = cosThe * cosPsi; - dcm[0][1] = -cosPhi * sinPsi + sinPhi * sinThe * cosPsi; - dcm[0][2] = sinPhi * sinPsi + cosPhi * sinThe * cosPsi; - - dcm[1][0] = cosThe * sinPsi; - dcm[1][1] = cosPhi * cosPsi + sinPhi * sinThe * sinPsi; - dcm[1][2] = -sinPhi * cosPsi + cosPhi * sinThe * sinPsi; - - dcm[2][0] = -sinThe; - dcm[2][1] = sinPhi * cosThe; - dcm[2][2] = cosPhi * cosThe; -} - -#endif +#ifndef _MAVLINK_CONVERSIONS_H_ +#define _MAVLINK_CONVERSIONS_H_ + +/* enable math defines on Windows */ +#ifdef _MSC_VER +#ifndef _USE_MATH_DEFINES +#define _USE_MATH_DEFINES +#endif +#endif +#include <math.h> + +#ifndef M_PI_2 + #define M_PI_2 ((float)asin(1)) +#endif + +/** + * @file mavlink_conversions.h + * + * These conversion functions follow the NASA rotation standards definition file + * available online. + * + * Their intent is to lower the barrier for MAVLink adopters to use gimbal-lock free + * (both rotation matrices, sometimes called DCM, and quaternions are gimbal-lock free) + * rotation representations. Euler angles (roll, pitch, yaw) will be phased out of the + * protocol as widely as possible. + * + * @author James Goppert + * @author Thomas Gubler <thomasgubler@gmail.com> + */ + + +/** + * Converts a quaternion to a rotation matrix + * + * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) + * @param dcm a 3x3 rotation matrix + */ +MAVLINK_HELPER void mavlink_quaternion_to_dcm(const float quaternion[4], float dcm[3][3]) +{ + double a = quaternion[0]; + double b = quaternion[1]; + double c = quaternion[2]; + double d = quaternion[3]; + double aSq = a * a; + double bSq = b * b; + double cSq = c * c; + double dSq = d * d; + dcm[0][0] = aSq + bSq - cSq - dSq; + dcm[0][1] = 2 * (b * c - a * d); + dcm[0][2] = 2 * (a * c + b * d); + dcm[1][0] = 2 * (b * c + a * d); + dcm[1][1] = aSq - bSq + cSq - dSq; + dcm[1][2] = 2 * (c * d - a * b); + dcm[2][0] = 2 * (b * d - a * c); + dcm[2][1] = 2 * (a * b + c * d); + dcm[2][2] = aSq - bSq - cSq + dSq; +} + + +/** + * Converts a rotation matrix to euler angles + * + * @param dcm a 3x3 rotation matrix + * @param roll the roll angle in radians + * @param pitch the pitch angle in radians + * @param yaw the yaw angle in radians + */ +MAVLINK_HELPER void mavlink_dcm_to_euler(const float dcm[3][3], float* roll, float* pitch, float* yaw) +{ + float phi, theta, psi; + theta = asin(-dcm[2][0]); + + // if (fabsf(theta - (float)M_PI_2) < 1.0e-3f) { + // phi = 0.0f; + // psi = (atan2f(dcm[1][2] - dcm[0][1], + // dcm[0][2] + dcm[1][1]) + phi); +// +// } else if (fabsf(theta + (float)M_PI_2) < 1.0e-3f) { + // phi = 0.0f; + // psi = atan2f(dcm[1][2] - dcm[0][1], + // dcm[0][2] + dcm[1][1] - phi); +// + // } else { + phi = atan2f(dcm[2][1], dcm[2][2]); + psi = atan2f(dcm[1][0], dcm[0][0]); + // } +// + *roll = phi; + *pitch = theta; + *yaw = psi; +} + +/** + * Converts a quaternion to euler angles + * + * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) + * @param roll the roll angle in radians + * @param pitch the pitch angle in radians + * @param yaw the yaw angle in radians + */ +MAVLINK_HELPER void mavlink_quaternion_to_euler(const float quaternion[4], float* roll, float* pitch, float* yaw) +{ + float dcm[3][3]; + mavlink_quaternion_to_dcm(quaternion, dcm); + mavlink_dcm_to_euler((const float(*)[3])dcm, roll, pitch, yaw); +} + + +/** + * Converts euler angles to a quaternion + * + * @param roll the roll angle in radians + * @param pitch the pitch angle in radians + * @param yaw the yaw angle in radians + * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) + */ +MAVLINK_HELPER void mavlink_euler_to_quaternion(float roll, float pitch, float yaw, float quaternion[4]) +{ + float cosPhi_2 = cosf(roll / 2); + float sinPhi_2 = sinf(roll / 2); + float cosTheta_2 = cosf(pitch / 2); + float sinTheta_2 = sinf(pitch / 2); + float cosPsi_2 = cosf(yaw / 2); + float sinPsi_2 = sinf(yaw / 2); + quaternion[0] = (cosPhi_2 * cosTheta_2 * cosPsi_2 + + sinPhi_2 * sinTheta_2 * sinPsi_2); + quaternion[1] = (sinPhi_2 * cosTheta_2 * cosPsi_2 - + cosPhi_2 * sinTheta_2 * sinPsi_2); + quaternion[2] = (cosPhi_2 * sinTheta_2 * cosPsi_2 + + sinPhi_2 * cosTheta_2 * sinPsi_2); + quaternion[3] = (cosPhi_2 * cosTheta_2 * sinPsi_2 - + sinPhi_2 * sinTheta_2 * cosPsi_2); +} + + +/** + * Converts a rotation matrix to a quaternion + * Reference: + * - Shoemake, Quaternions, + * http://www.cs.ucr.edu/~vbz/resources/quatut.pdf + * + * @param dcm a 3x3 rotation matrix + * @param quaternion a [w, x, y, z] ordered quaternion (null-rotation being 1 0 0 0) + */ +MAVLINK_HELPER void mavlink_dcm_to_quaternion(const float dcm[3][3], float quaternion[4]) +{ + float tr = dcm[0][0] + dcm[1][1] + dcm[2][2]; + if (tr > 0.0f) { + float s = sqrtf(tr + 1.0f); + quaternion[0] = s * 0.5f; + s = 0.5f / s; + quaternion[1] = (dcm[2][1] - dcm[1][2]) * s; + quaternion[2] = (dcm[0][2] - dcm[2][0]) * s; + quaternion[3] = (dcm[1][0] - dcm[0][1]) * s; + } else { + /* Find maximum diagonal element in dcm + * store index in dcm_i */ + int dcm_i = 0; + int i; + for (i = 1; i < 3; i++) { + if (dcm[i][i] > dcm[dcm_i][dcm_i]) { + dcm_i = i; + } + } + + int dcm_j = (dcm_i + 1) % 3; + int dcm_k = (dcm_i + 2) % 3; + + float s = sqrtf((dcm[dcm_i][dcm_i] - dcm[dcm_j][dcm_j] - + dcm[dcm_k][dcm_k]) + 1.0f); + quaternion[dcm_i + 1] = s * 0.5f; + s = 0.5f / s; + quaternion[dcm_j + 1] = (dcm[dcm_i][dcm_j] + dcm[dcm_j][dcm_i]) * s; + quaternion[dcm_k + 1] = (dcm[dcm_k][dcm_i] + dcm[dcm_i][dcm_k]) * s; + quaternion[0] = (dcm[dcm_k][dcm_j] - dcm[dcm_j][dcm_k]) * s; + } +} + + +/** + * Converts euler angles to a rotation matrix + * + * @param roll the roll angle in radians + * @param pitch the pitch angle in radians + * @param yaw the yaw angle in radians + * @param dcm a 3x3 rotation matrix + */ +MAVLINK_HELPER void mavlink_euler_to_dcm(float roll, float pitch, float yaw, float dcm[3][3]) +{ + float cosPhi = cosf(roll); + float sinPhi = sinf(roll); + float cosThe = cosf(pitch); + float sinThe = sinf(pitch); + float cosPsi = cosf(yaw); + float sinPsi = sinf(yaw); + + dcm[0][0] = cosThe * cosPsi; + dcm[0][1] = -cosPhi * sinPsi + sinPhi * sinThe * cosPsi; + dcm[0][2] = sinPhi * sinPsi + cosPhi * sinThe * cosPsi; + + dcm[1][0] = cosThe * sinPsi; + dcm[1][1] = cosPhi * cosPsi + sinPhi * sinThe * sinPsi; + dcm[1][2] = -sinPhi * cosPsi + cosPhi * sinThe * sinPsi; + + dcm[2][0] = -sinThe; + dcm[2][1] = sinPhi * cosThe; + dcm[2][2] = cosPhi * cosThe; +} + +#endif +