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blender-archive/source/blender/blenlib/BLI_math_solvers.h
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/*
* 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 2
* 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, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* The Original Code is Copyright (C) 2015 by Blender Foundation
* All rights reserved.
* */
#ifndef __BLI_MATH_SOLVERS_H__
#define __BLI_MATH_SOLVERS_H__
/** \file
* \ingroup bli
*/
#ifdef __cplusplus
extern "C" {
#endif
#include "BLI_compiler_attrs.h"
#include "BLI_math_inline.h"
#ifdef BLI_MATH_GCC_WARN_PRAGMA
# pragma GCC diagnostic push
# pragma GCC diagnostic ignored "-Wredundant-decls"
#endif
/********************************** Eigen Solvers *********************************/
bool BLI_eigen_solve_selfadjoint_m3(const float m3[3][3], float r_eigen_values[3], float r_eigen_vectors[3][3]);
void BLI_svd_m3(const float m3[3][3], float r_U[3][3], float r_S[], float r_V[3][3]);
/***************************** Simple Solvers ************************************/
bool BLI_tridiagonal_solve(const float *a, const float *b, const float *c, const float *d, float *r_x, const int count);
bool BLI_tridiagonal_solve_cyclic(const float *a, const float *b, const float *c, const float *d, float *r_x, const int count);
/* Generic 3 variable Newton's method solver. */
typedef void (*Newton3D_DeltaFunc)(void *userdata, const float x[3], float r_delta[3]);
typedef void (*Newton3D_JacobianFunc)(void *userdata, const float x[3], float r_jacobian[3][3]);
typedef bool (*Newton3D_CorrectionFunc)(void *userdata, const float x[3], float step[3], float x_next[3]);
bool BLI_newton3d_solve(
Newton3D_DeltaFunc func_delta, Newton3D_JacobianFunc func_jacobian, Newton3D_CorrectionFunc func_correction, void *userdata,
float epsilon, int max_iterations, bool trace, const float x_init[3], float result[3]);
#ifdef BLI_MATH_GCC_WARN_PRAGMA
# pragma GCC diagnostic pop
#endif
#ifdef __cplusplus
}
#endif
#endif /* __BLI_MATH_SOLVERS_H__ */