Alexander Gavrilov
8bdc391c54
The legacy algorithm only considers two adjacent points when computing the bezier handles, which cannot produce satisfactory results. Animators are often forced to manually adjust all curves. The new approach instead solves a system of equations to trace a cubic spline with continuous second derivative through the whole segment of auto points, delimited at ends by keyframes with handles set by other requirements. This algorithm also adjusts Vector handles that face ordinary bezier keyframes to achieve zero acceleration at the Vector keyframe, instead of simply pointing it at the adjacent point. Original idea and implementation by Benoit Bolsee <benoit.bolsee@online.be>; code mostly rewritten to improve code clarity and extensibility. Reviewers: aligorith Differential Revision: https://developer.blender.org/D2884
73 lines
2.2 KiB
C++
73 lines
2.2 KiB
C++
/*
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* ***** BEGIN GPL LICENSE BLOCK *****
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* The Original Code is Copyright (C) 2015 by Blender Foundation
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* All rights reserved.
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*
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* The Original Code is: all of this file.
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*
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* ***** END GPL LICENSE BLOCK *****
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* */
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#ifndef __BLI_MATH_SOLVERS_H__
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#define __BLI_MATH_SOLVERS_H__
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/** \file BLI_math_solvers.h
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* \ingroup bli
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*/
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#ifdef __cplusplus
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extern "C" {
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#endif
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#include "BLI_compiler_attrs.h"
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#include "BLI_math_inline.h"
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#ifdef BLI_MATH_GCC_WARN_PRAGMA
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# pragma GCC diagnostic push
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# pragma GCC diagnostic ignored "-Wredundant-decls"
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#endif
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/********************************** Eigen Solvers *********************************/
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bool BLI_eigen_solve_selfadjoint_m3(const float m3[3][3], float r_eigen_values[3], float r_eigen_vectors[3][3]);
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void BLI_svd_m3(const float m3[3][3], float r_U[3][3], float r_S[], float r_V[3][3]);
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/***************************** Simple Solvers ************************************/
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bool BLI_tridiagonal_solve(const float *a, const float *b, const float *c, const float *d, float *r_x, const int count);
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bool BLI_tridiagonal_solve_cyclic(const float *a, const float *b, const float *c, const float *d, float *r_x, const int count);
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/**************************** Inline Definitions ******************************/
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#if 0 /* None so far. */
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# if BLI_MATH_DO_INLINE
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# include "intern/math_geom_inline.c"
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# endif
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#endif
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#ifdef BLI_MATH_GCC_WARN_PRAGMA
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# pragma GCC diagnostic pop
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#endif
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#ifdef __cplusplus
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}
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#endif
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#endif /* __BLI_MATH_SOLVERS_H__ */
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