i should have done this ages ago

This commit is contained in:
Marius Eggert 2024-02-12 14:20:04 +01:00
parent b5e7179af1
commit d5a52eadbb
4 changed files with 210 additions and 0 deletions

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@ -6,6 +6,7 @@
#include "fsfw/globalfunctions/constants.h"
#include "fsfw/globalfunctions/math/MatrixOperations.h"
#include "fsfw/globalfunctions/math/VectorOperations.h"
#include "fsfw/globalfunctions/sign.h"
void CoordinateTransformations::positionEcfToEci(const double* ecfPosition, double* eciPosition,
timeval* timeUTC) {
@ -207,3 +208,61 @@ void CoordinateTransformations::getTransMatrixECITOECF(timeval timeUTC, double T
MatrixOperations<double>::multiply(mTheta[0], Ttemp[0], Tfi[0], 3, 3, 3);
};
void CoordinateTransformations::cartesianFromLatLongAlt(const double lat, const double longi,
const double alt, double* cartesianOutput) {
/* @brief: cartesianFromLatLongAlt() - calculates cartesian coordinates in ECEF from latitude,
* longitude and altitude
* @param: lat geodetic latitude [rad]
* longi longitude [rad]
* alt altitude [m]
* cartesianOutput Cartesian Coordinates in ECEF (3x1)
* @source: Fundamentals of Spacecraft Attitude Determination and Control, P.34ff
* Landis Markley and John L. Crassidis*/
double radiusPolar = 6356752.314;
double radiusEqua = 6378137;
double eccentricity = sqrt(1 - pow(radiusPolar, 2) / pow(radiusEqua, 2));
double auxRadius = radiusEqua / sqrt(1 - pow(eccentricity, 2) * pow(sin(lat), 2));
cartesianOutput[0] = (auxRadius + alt) * cos(lat) * cos(longi);
cartesianOutput[1] = (auxRadius + alt) * cos(lat) * sin(longi);
cartesianOutput[2] = ((1 - pow(eccentricity, 2)) * auxRadius + alt) * sin(lat);
};
void CoordinateTransformations::latLongAltFromCartesian(const double* vector, double& latitude,
double& longitude, double& altitude) {
/* @brief: latLongAltFromCartesian() - calculates latitude, longitude and altitude from
* cartesian coordinates in ECEF
* @param: x x-value of position vector [m]
* y y-value of position vector [m]
* z z-value of position vector [m]
* latitude geodetic latitude [rad]
* longitude longitude [rad]
* altitude altitude [m]
* @source: Fundamentals of Spacecraft Attitude Determination and Control, P.35 f
* Landis Markley and John L. Crassidis*/
// From World Geodetic System the Earth Radii
double a = 6378137.0; // semimajor axis [m]
double b = 6356752.3142; // semiminor axis [m]
// Calculation
double e2 = 1 - pow(b, 2) / pow(a, 2);
double epsilon2 = pow(a, 2) / pow(b, 2) - 1;
double rho = sqrt(pow(vector[0], 2) + pow(vector[1], 2));
double p = std::abs(vector[2]) / epsilon2;
double s = pow(rho, 2) / (e2 * epsilon2);
double q = pow(p, 2) - pow(b, 2) + s;
double u = p / sqrt(q);
double v = pow(b, 2) * pow(u, 2) / q;
double P = 27 * v * s / q;
double Q = pow(sqrt(P + 1) + sqrt(P), 2. / 3.);
double t = (1 + Q + 1 / Q) / 6;
double c = sqrt(pow(u, 2) - 1 + 2 * t);
double w = (c - u) / 2;
double d = sign(vector[2]) * sqrt(q) * (w + sqrt(sqrt(pow(t, 2) + v) - u * w - t / 2 - 1. / 4.));
double N = a * sqrt(1 + epsilon2 * pow(d, 2) / pow(b, 2));
latitude = asin((epsilon2 + 1) * d / N);
altitude = rho * cos(latitude) + vector[2] * sin(latitude) - pow(a, 2) / N;
longitude = atan2(vector[1], vector[0]);
}

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@ -23,6 +23,12 @@ class CoordinateTransformations {
static void getEarthRotationMatrix(timeval timeUTC, double matrix[][3]);
static void cartesianFromLatLongAlt(const double lat, const double longi, const double alt,
double* cartesianOutput);
static void latLongAltFromCartesian(const double* vector, double& latitude, double& longitude,
double& altitude);
private:
CoordinateTransformations();
static void ecfToEci(const double* ecfCoordinates, double* eciCoordinates,

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@ -4,6 +4,7 @@
#include <stdint.h>
#include <cmath>
#include <utility>
template <typename T1, typename T2 = T1, typename T3 = T2>
class MatrixOperations {
@ -95,6 +96,141 @@ class MatrixOperations {
}
}
}
static bool isFinite(const T1 *inputMatrix, uint8_t rows, uint8_t cols) {
for (uint8_t col = 0; col < cols; col++) {
for (uint8_t row = 0; row < rows; row++) {
if (not isfinite(inputMatrix[row * cols + cols])) {
return false;
}
}
}
return true;
}
static void writeSubmatrix(T1 *mainMatrix, T1 *subMatrix, uint8_t subRows, uint8_t subCols,
uint8_t mainRows, uint8_t mainCols, uint8_t startRow,
uint8_t startCol) {
if ((startRow + subRows > mainRows) or (startCol + subCols > mainCols)) {
return;
}
for (uint8_t row = 0; row < subRows; row++) {
for (uint8_t col = 0; col < subCols; col++) {
mainMatrix[(startRow + row) * mainCols + (startCol + col)] = subMatrix[row * subCols + col];
}
}
}
static ReturnValue_t inverseMatrix(const T1 *inputMatrix, T1 *inverse, uint8_t size) {
// Stopwatch stopwatch;
T1 matrix[size][size], identity[size][size];
// reformat array to matrix
for (uint8_t row = 0; row < size; row++) {
for (uint8_t col = 0; col < size; col++) {
matrix[row][col] = inputMatrix[row * size + col];
}
}
// init identity matrix
std::memset(identity, 0.0, sizeof(identity));
for (uint8_t diag = 0; diag < size; diag++) {
identity[diag][diag] = 1;
}
// gauss-jordan algo
// sort matrix such as no diag entry shall be 0
for (uint8_t row = 0; row < size; row++) {
if (matrix[row][row] == 0.0) {
bool swaped = false;
uint8_t rowIndex = 0;
while ((rowIndex < size) && !swaped) {
if ((matrix[rowIndex][row] != 0.0) && (matrix[row][rowIndex] != 0.0)) {
for (uint8_t colIndex = 0; colIndex < size; colIndex++) {
std::swap(matrix[row][colIndex], matrix[rowIndex][colIndex]);
std::swap(identity[row][colIndex], identity[rowIndex][colIndex]);
}
swaped = true;
}
rowIndex++;
}
if (!swaped) {
return returnvalue::FAILED; // matrix not invertible
}
}
}
for (int row = 0; row < size; row++) {
if (matrix[row][row] == 0.0) {
uint8_t rowIndex;
if (row == 0) {
rowIndex = size - 1;
} else {
rowIndex = row - 1;
}
for (uint8_t colIndex = 0; colIndex < size; colIndex++) {
std::swap(matrix[row][colIndex], matrix[rowIndex][colIndex]);
std::swap(identity[row][colIndex], identity[rowIndex][colIndex]);
}
row--;
if (row < 0) {
return returnvalue::FAILED; // Matrix is not invertible
}
}
}
// remove non diag elements in matrix (jordan)
for (int row = 0; row < size; row++) {
for (int rowIndex = 0; rowIndex < size; rowIndex++) {
if (row != rowIndex) {
double ratio = matrix[rowIndex][row] / matrix[row][row];
for (int colIndex = 0; colIndex < size; colIndex++) {
matrix[rowIndex][colIndex] -= ratio * matrix[row][colIndex];
identity[rowIndex][colIndex] -= ratio * identity[row][colIndex];
}
}
}
}
// normalize rows in matrix (gauss)
for (int row = 0; row < size; row++) {
for (int col = 0; col < size; col++) {
identity[row][col] = identity[row][col] / matrix[row][row];
}
}
std::memcpy(inverse, identity, sizeof(identity));
return returnvalue::OK; // successful inversion
}
static void inverseMatrixDimThree(const T1 *matrix, T1 *output) {
int i, j;
double determinant = 0;
double mat[3][3] = {{matrix[0], matrix[1], matrix[2]},
{matrix[3], matrix[4], matrix[5]},
{matrix[6], matrix[7], matrix[8]}};
for (i = 0; i < 3; i++) {
determinant = determinant + (mat[0][i] * (mat[1][(i + 1) % 3] * mat[2][(i + 2) % 3] -
mat[1][(i + 2) % 3] * mat[2][(i + 1) % 3]));
}
// cout<<"\n\ndeterminant: "<<determinant;
// cout<<"\n\nInverse of matrix is: \n";
for (i = 0; i < 3; i++) {
for (j = 0; j < 3; j++) {
output[i * 3 + j] = ((mat[(j + 1) % 3][(i + 1) % 3] * mat[(j + 2) % 3][(i + 2) % 3]) -
(mat[(j + 1) % 3][(i + 2) % 3] * mat[(j + 2) % 3][(i + 1) % 3])) /
determinant;
}
}
}
static void skewMatrix(const T1 *vector, T2 *result) {
// Input Dimension [3], Output [3][3]
result[0] = 0;
result[1] = -vector[2];
result[2] = vector[1];
result[3] = vector[2];
result[4] = 0;
result[5] = -vector[0];
result[6] = -vector[1];
result[7] = vector[0];
result[8] = 0;
}
};
#endif /* MATRIXOPERATIONS_H_ */

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@ -99,6 +99,15 @@ class VectorOperations {
static void copy(const T *in, T *out, uint8_t size) { mulScalar(in, 1, out, size); }
static bool isFinite(const T *inputVector, uint8_t size) {
for (uint8_t i = 0; i < size; i++) {
if (not isfinite(inputVector[i])) {
return false;
}
}
return true;
}
private:
VectorOperations();
};