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/*
* ***** BEGIN GPL LICENSE BLOCK *****
*
* 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) 2001-2002 by NaN Holding BV.
* All rights reserved.
*
* Contributor(s): Laurence Bourn, Campbell Barton
*
* ***** END GPL LICENSE BLOCK *****
*/
/** \file blender/blenlib/intern/quadric.c
* \ingroup bli
*
* \note This isn't fully complete,
* possible there are other useful functions to add here.
*
* \note try to follow BLI_math naming convention here.
*/
//#include <string.h>
#include "BLI_math.h"
#include "BLI_quadric.h" /* own include */
#define QUADRIC_FLT_TOT (sizeof(Quadric) / sizeof(float))
void BLI_quadric_from_v3_dist(Quadric *q, const float v[3], const float offset)
{
q->a2 = v[0] * v[0];
q->b2 = v[1] * v[1];
q->c2 = v[2] * v[2];
q->ab = v[0] * v[1];
q->ac = v[0] * v[2];
q->bc = v[1] * v[2];
q->ad = v[0] * offset;
q->bd = v[1] * offset;
q->cd = v[2] * offset;
q->d2 = offset * offset;
}
void BLI_quadric_to_tensor_m3(const Quadric *q, float m[3][3])
{
m[0][0] = q->a2;
m[0][1] = q->ab;
m[0][2] = q->ac;
m[1][0] = q->ab;
m[1][1] = q->b2;
m[1][2] = q->bc;
m[2][0] = q->ac;
m[2][1] = q->bc;
m[2][2] = q->c2;
}
void BLI_quadric_to_vector_v3(const Quadric *q, float v[3])
{
v[0] = q->ad;
v[1] = q->bd;
v[2] = q->cd;
}
void BLI_quadric_clear(Quadric *q)
{
memset(q, 0, sizeof(*q));
}
void BLI_quadric_add_qu_qu(Quadric *a, const Quadric *b)
{
add_vn_vn((float *)a, (float *)b, QUADRIC_FLT_TOT);
}
void BLI_quadric_add_qu_ququ(Quadric *r, const Quadric *a, const Quadric *b)
{
add_vn_vnvn((float *)r, (const float *)a, (const float *)b, QUADRIC_FLT_TOT);
}
void BLI_quadric_mul(Quadric *a, const float scalar)
{
mul_vn_fl((float *)a, QUADRIC_FLT_TOT, scalar);
}
float BLI_quadric_evaluate(const Quadric *q, const float v[3])
{
return (v[0] * v[0] * q->a2 + 2.0f * v[0] * v[1] * q->ab + 2.0f * v[0] * v[2] * q->ac + 2.0f * v[0] * q->ad +
v[1] * v[1] * q->b2 + 2.0f * v[1] * v[2] * q->bc + 2.0f * v[1] * q->bd +
v[2] * v[2] * q->c2 + 2.0f * v[2] * q->cd +
q->d2);
}
int BLI_quadric_optimize(const Quadric *q, float v[3])
{
float m[3][3];
float det;
BLI_quadric_to_tensor_m3(q, m);
det = determinant_m3(m[0][0], m[0][1], m[0][2],
m[1][0], m[1][1], m[1][2],
m[2][0], m[2][1], m[2][2]);
if (fabsf(det) > FLT_EPSILON) {
invert_m3(m);
BLI_quadric_to_vector_v3(q, v);
mul_m3_v3(m, v);
negate_v3(v);
return TRUE;
}
else {
return FALSE;
}
}
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