ardupilot/libraries/AP_Math/polyfit.cpp

63 lines
1.7 KiB
C++

/*
polynomial fitting class, originally written by Siddharth Bharat Purohit
re-worked for ArduPilot by Andrew Tridgell
*/
#include "polyfit.h"
#include "AP_Math.h"
#include "vector3.h"
template <uint8_t order, typename xtype, typename vtype>
void PolyFit<order,xtype,vtype>::update(xtype x, vtype y)
{
xtype temp = 1;
for (int8_t i = 2*(order-1); i >= 0; i--) {
int8_t k = (i<order)?0:i - order + 1;
for (int8_t j = i - k; j >= k; j--) {
mat[j][i-j] += temp;
}
temp *= x;
}
temp = 1;
for (int8_t i = order-1; i >= 0; i--) {
vec[i] += y * temp;
temp *= x;
}
}
template <uint8_t order, typename xtype, typename vtype>
bool PolyFit<order,xtype,vtype>::get_polynomial(vtype res[order]) const
{
// we dynamically allocate the inverse matrix to keep stack usage low
xtype *inv_mat = NEW_NOTHROW xtype[order*order];
if (inv_mat == nullptr) {
return false;
}
if (!mat_inverse(&mat[0][0], inv_mat, order)) {
delete[] inv_mat;
return false;
}
// the summation must be done with double precision to get
// good accuracy
Vector3d resd[order] {};
for (uint8_t i = 0; i < order; i++) {
for (uint8_t j = 0; j < order; j++) {
resd[i].x += vec[j].x * inv_mat[i*order+j];
resd[i].y += vec[j].y * inv_mat[i*order+j];
resd[i].z += vec[j].z * inv_mat[i*order+j];
}
}
for (uint8_t j = 0; j < order; j++) {
res[j].x = resd[j].x;
res[j].y = resd[j].y;
res[j].z = resd[j].z;
}
delete[] inv_mat;
return true;
}
// instantiate for order 4 double with Vector3f
template class PolyFit<4, double, Vector3f>;