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MarlinFirmware/Marlin/src/libs/least_squares_fit.cpp
2021-03-24 22:56:48 -05:00

70 lines
2.2 KiB
C++

/**
* Marlin 3D Printer Firmware
* Copyright (c) 2020 MarlinFirmware [https://github.com/MarlinFirmware/Marlin]
*
* Based on Sprinter and grbl.
* Copyright (c) 2011 Camiel Gubbels / Erik van der Zalm
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*
*/
/**
* Least Squares Best Fit by Roxy and Ed Williams
*
* This algorithm is high speed and has a very small code footprint.
* Its results are identical to both the Iterative Least-Squares published
* earlier by Roxy and the QR_SOLVE solution. If used in place of QR_SOLVE
* it saves roughly 10K of program memory. It also does not require all of
* coordinates to be present during the calculations. Each point can be
* probed and then discarded.
*/
#include "../inc/MarlinConfig.h"
#if NEED_LSF
#include "least_squares_fit.h"
#include <math.h>
int finish_incremental_LSF(struct linear_fit_data *lsf) {
const float N = lsf->N;
if (N == 0.0)
return 1;
const float RN = 1.0f / N,
xbar = lsf->xbar * RN,
ybar = lsf->ybar * RN,
zbar = lsf->zbar * RN,
x2bar = lsf->x2bar * RN - sq(xbar),
y2bar = lsf->y2bar * RN - sq(ybar),
xybar = lsf->xybar * RN - xbar * ybar,
yzbar = lsf->yzbar * RN - ybar * zbar,
xzbar = lsf->xzbar * RN - xbar * zbar,
DD = x2bar * y2bar - sq(xybar);
if (ABS(DD) <= 1e-10 * (lsf->max_absx + lsf->max_absy))
return 1;
lsf->A = (yzbar * xybar - xzbar * y2bar) / DD;
lsf->B = (xzbar * xybar - yzbar * x2bar) / DD;
lsf->D = -(zbar + lsf->A * xbar + lsf->B * ybar);
return 0;
}
#endif // NEED_LSF