Today's the day. Renamed platform to framework.
This commit is contained in:
Bastian Baetz
46
globalfunctions/math/MatrixOperations.h
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46
globalfunctions/math/MatrixOperations.h
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#ifndef MATRIXOPERATIONS_H_
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#define MATRIXOPERATIONS_H_
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#include <cmath>
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#include <stdint.h>
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template<typename T>
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class MatrixOperations {
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public:
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virtual ~MatrixOperations() {
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}
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//do not use with result == matrix1 or matrix2 //TODO?
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static void multiply(const T *matrix1, const T *matrix2, T *result,
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uint8_t rows1, uint8_t columns1, uint8_t columns2) {
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for (uint8_t resultColumn = 0; resultColumn < columns2;
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resultColumn++) {
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for (uint8_t resultRow = 0; resultRow < rows1; resultRow++) {
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result[resultColumn + columns2 * resultRow] = 0;
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for (uint8_t i = 0; i < columns1; i++) {
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result[resultColumn + columns2 * resultRow] += matrix1[i
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+ resultRow * columns1]
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* matrix2[resultColumn + i * columns2];
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}
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}
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}
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}
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static void transpose(const T *matrix, T *transposed, uint8_t size) {
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uint8_t row, column;
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transposed[0] = matrix[0];
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for (column = 1; column < size; column++) {
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transposed[column + size * column] = matrix[column + size * column];
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for (row = 0; row < column; row++) {
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T temp = matrix[column + size * row];
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transposed[column + size * row] = matrix[row + size * column];
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transposed[row + size * column] = temp;
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}
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}
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}
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private:
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MatrixOperations();
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};
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#endif /* MATRIXOPERATIONS_H_ */
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157
globalfunctions/math/QuaternionOperations.cpp
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157
globalfunctions/math/QuaternionOperations.cpp
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#include <framework/globalfunctions/math/QuaternionOperations.h>
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#include <framework/globalfunctions/math/VectorOperations.h>
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#include "VectorOperations.h"
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#include <cmath>
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#include <cstring>
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#include <stdint.h>
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QuaternionOperations::~QuaternionOperations() {
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}
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void QuaternionOperations::multiply(const double* q1, const double* q2,
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double* q) {
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double out[4];
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out[0] = q1[3] * q2[0] + q1[2] * q2[1] - q1[1] * q2[2] + q1[0] * q2[3];
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out[1] = -q1[2] * q2[0] + q1[3] * q2[1] + q1[0] * q2[2] + q1[1] * q2[3];
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out[2] = q1[1] * q2[0] - q1[0] * q2[1] + q1[3] * q2[2] + q1[2] * q2[3];
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out[3] = -q1[0] * q2[0] - q1[1] * q2[1] - q1[2] * q2[2] + q1[3] * q2[3];
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memcpy(q, out, 4 * sizeof(*q));
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}
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void QuaternionOperations::toDcm(const double* quaternion, double dcm[][3]) {
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dcm[0][0] = 2
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* (quaternion[0] * quaternion[0] + quaternion[3] * quaternion[3])
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- 1;
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dcm[0][1] = 2
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* (quaternion[0] * quaternion[1] + quaternion[2] * quaternion[3]);
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dcm[0][2] = 2
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* (quaternion[0] * quaternion[2] - quaternion[1] * quaternion[3]);
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dcm[1][0] = 2
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* (quaternion[0] * quaternion[1] - quaternion[2] * quaternion[3]);
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dcm[1][1] = 2
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* (quaternion[1] * quaternion[1] + quaternion[3] * quaternion[3])
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- 1;
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dcm[1][2] = 2
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* (quaternion[1] * quaternion[2] + quaternion[0] * quaternion[3]);
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dcm[2][0] = 2
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* (quaternion[0] * quaternion[2] + quaternion[1] * quaternion[3]);
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dcm[2][1] = 2
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* (quaternion[1] * quaternion[2] - quaternion[0] * quaternion[3]);
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dcm[2][2] = 2
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* (quaternion[2] * quaternion[2] + quaternion[3] * quaternion[3])
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- 1;
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}
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void QuaternionOperations::inverse(const double* quaternion,
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double* inverseQuaternion) {
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memcpy(inverseQuaternion, quaternion, 4 * sizeof(*quaternion));
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VectorOperations<double>::mulScalar(inverseQuaternion, -1,
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inverseQuaternion, 3);
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}
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QuaternionOperations::QuaternionOperations() {
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}
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void QuaternionOperations::normalize(const double* quaternion,
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double* unitQuaternion) {
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VectorOperations<double>::normalize(quaternion, unitQuaternion, 4);
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}
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float QuaternionOperations::norm(const double* quaternion) {
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return VectorOperations<double>::norm(quaternion, 4);
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}
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void QuaternionOperations::fromDcm(const double dcm[][3], double* quaternion,
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uint8_t *index) {
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double a[4];
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a[0] = 1 + dcm[0][0] - dcm[1][1] - dcm[2][2];
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a[1] = 1 - dcm[0][0] + dcm[1][1] - dcm[2][2];
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a[2] = 1 - dcm[0][0] - dcm[1][1] + dcm[2][2];
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a[3] = 1 + dcm[0][0] + dcm[1][1] + dcm[2][2];
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uint8_t maxAIndex = 0;
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VectorOperations<double>::maxAbsValue(a, 4, &maxAIndex);
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if (index != 0) {
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*index = maxAIndex;
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}
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switch (maxAIndex) {
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case 0:
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quaternion[0] = 0.5 * sqrt(a[0]);
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quaternion[1] = (dcm[0][1] + dcm[1][0]) / (2 * sqrt(a[0]));
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quaternion[2] = (dcm[0][2] + dcm[2][0]) / (2 * sqrt(a[0]));
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quaternion[3] = (dcm[1][2] - dcm[2][1]) / (2 * sqrt(a[0]));
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break;
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case 1:
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quaternion[0] = (dcm[0][1] + dcm[1][0]) / (2 * sqrt(a[1]));
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quaternion[1] = 0.5 * sqrt(a[1]);
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quaternion[2] = (dcm[1][2] + dcm[2][1]) / (2 * sqrt(a[1]));
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quaternion[3] = (dcm[2][0] - dcm[0][2]) / (2 * sqrt(a[1]));
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break;
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case 2:
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quaternion[0] = (dcm[0][2] + dcm[2][0]) / (2 * sqrt(a[2]));
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quaternion[1] = (dcm[1][2] + dcm[2][1]) / (2 * sqrt(a[2]));
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quaternion[2] = 0.5 * sqrt(a[2]);
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quaternion[3] = (dcm[0][1] - dcm[1][0]) / (2 * sqrt(a[2]));
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break;
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case 3:
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quaternion[0] = (dcm[1][2] - dcm[2][1]) / (2 * sqrt(a[3]));
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quaternion[1] = (dcm[2][0] - dcm[0][2]) / (2 * sqrt(a[3]));
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quaternion[2] = (dcm[0][1] - dcm[1][0]) / (2 * sqrt(a[3]));
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quaternion[3] = 0.5 * sqrt(a[3]);
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break;
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}
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}
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void QuaternionOperations::toDcm(const double* quaternion, float dcm[][3]) {
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dcm[0][0] = 2
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* (quaternion[0] * quaternion[0] + quaternion[3] * quaternion[3])
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- 1;
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dcm[0][1] = 2
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* (quaternion[0] * quaternion[1] + quaternion[2] * quaternion[3]);
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dcm[0][2] = 2
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* (quaternion[0] * quaternion[2] - quaternion[1] * quaternion[3]);
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dcm[1][0] = 2
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* (quaternion[0] * quaternion[1] - quaternion[2] * quaternion[3]);
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dcm[1][1] = 2
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* (quaternion[1] * quaternion[1] + quaternion[3] * quaternion[3])
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- 1;
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dcm[1][2] = 2
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* (quaternion[1] * quaternion[2] + quaternion[0] * quaternion[3]);
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dcm[2][0] = 2
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* (quaternion[0] * quaternion[2] + quaternion[1] * quaternion[3]);
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dcm[2][1] = 2
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* (quaternion[1] * quaternion[2] - quaternion[0] * quaternion[3]);
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dcm[2][2] = 2
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* (quaternion[2] * quaternion[2] + quaternion[3] * quaternion[3])
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- 1;
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}
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void QuaternionOperations::normalize(double* quaternion) {
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normalize(quaternion, quaternion);
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}
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double QuaternionOperations::getAngle(const double* quaternion, bool abs) {
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if (quaternion[3] >= 0) {
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return 2 * acos(quaternion[3]);
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} else {
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if (abs) {
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return 2 * acos(-quaternion[3]);
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} else {
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return -2 * acos(-quaternion[3]);
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}
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}
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}
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35
globalfunctions/math/QuaternionOperations.h
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35
globalfunctions/math/QuaternionOperations.h
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#ifndef QUATERNIONOPERATIONS_H_
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#define QUATERNIONOPERATIONS_H_
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#include <stdint.h>
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class QuaternionOperations {
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public:
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virtual ~QuaternionOperations();
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static void multiply(const double *q1, const double *q2, double *q);
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static void fromDcm(const double dcm[][3],double *quaternion, uint8_t *index = 0);
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static void toDcm(const double *quaternion, double dcm[][3]);
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static void toDcm(const double *quaternion, float dcm[][3]);
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static float norm(const double *quaternion);
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static void normalize(double *quaternion);
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static void normalize(const double *quaternion, double *unitQuaternion);
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static void inverse(const double *quaternion, double *inverseQuaternion);
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/**
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* returns angle in ]-Pi;Pi] or [0;Pi] if abs == true
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*/
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static double getAngle(const double *quaternion, bool abs = false);
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private:
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QuaternionOperations();
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};
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#endif /* QUATERNIONOPERATIONS_H_ */
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83
globalfunctions/math/VectorOperations.h
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83
globalfunctions/math/VectorOperations.h
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#ifndef VECTOROPERATIONS_
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#define VECTOROPERATIONS_
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#include <stdint.h>
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#include <cmath>
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template<typename T>
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class VectorOperations {
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public:
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virtual ~VectorOperations() {
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}
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static void cross(const T left[], const T right[], T out[]) {
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T temp[3] = { 0, 0, 0 };
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temp[0] = left[1] * right[2] - left[2] * right[1];
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temp[1] = left[2] * right[0] - left[0] * right[2];
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temp[2] = left[0] * right[1] - left[1] * right[0];
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out[0] = temp[0];
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out[1] = temp[1];
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out[2] = temp[2];
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}
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static T dot(const T a[], const T b[]) {
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return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
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}
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static void mulScalar(const T vector[], T scalar, T out[], uint8_t size) {
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for (; size > 0; size--) {
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out[size - 1] = vector[size - 1] * scalar;
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}
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}
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static void add(const T vector1[], const T vector2[], T sum[],
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uint8_t size = 3) {
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for (; size > 0; size--) {
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sum[size - 1] = vector1[size - 1] + vector2[size - 1];
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}
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}
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static void subtract(const T vector1[], const T vector2[], T sum[],
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uint8_t size = 3) {
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for (; size > 0; size--) {
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sum[size - 1] = vector1[size - 1] - vector2[size - 1];
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}
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}
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static T norm(const T *vector, uint8_t size) {
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T result = 0;
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for (; size > 0; size--) {
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result += vector[size - 1] * vector[size - 1];
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}
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result = sqrt(result);
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return result;
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}
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static void normalize(const T *vector, T *normalizedVector, uint8_t size) {
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mulScalar(vector, 1 / norm(vector, size), normalizedVector, size);
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}
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static T maxAbsValue(const T *vector, uint8_t size, uint8_t *index = 0) {
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T max = -1;
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for (; size > 0; size--) {
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T abs = vector[size - 1];
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if (abs < 0) {
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abs = -abs;
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}
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if (abs > max) {
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max = abs;
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if (index != 0) {
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*index = size - 1;
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}
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}
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}
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return max;
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}
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private:
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VectorOperations();
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};
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#endif /* VECTOROPERATIONS_ */
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