1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
|
/*
* 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:
* GXML/Graphite: Geometry and Graphics Programming Library + Utilities
* Copyright (C) 2000 Bruno Levy
* Contact: Bruno Levy
* levy@loria.fr
* ISA Project
* LORIA, INRIA Lorraine,
* Campus Scientifique, BP 239
* 54506 VANDOEUVRE LES NANCY CEDEX
* FRANCE
*/
#ifndef __MATRIX_UTIL__
#define __MATRIX_UTIL__
/** \file
* \ingroup freestyle
*/
#include "../system/FreestyleConfig.h"
namespace Freestyle {
namespace OGF {
namespace MatrixUtil {
/**
* computes the eigen values and eigen vectors of a semi definite symmetric matrix
*
* \param mat: The matrix stored in column symmetric storage, i.e.
* matrix = { m11, m12, m22, m13, m23, m33, m14, m24, m34, m44 ... }
* size = n(n+1)/2
*
* \param eigen_vec: (return) = { v1, v2, v3, ..., vn }
* where vk = vk0, vk1, ..., vkn
* size = n^2, must be allocated by caller
*
* \param eigen_val: (return) are in decreasing order
* size = n, must be allocated by caller
*/
void semi_definite_symmetric_eigen(const double *mat, int n, double *eigen_vec, double *eigen_val);
} // namespace MatrixUtil
} // namespace OGF
} /* namespace Freestyle */
#endif // __MATRIX_UTIL__
|
