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
66
67
68
69
70
71
72
|
/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008 - INRIA - Arnaud TORSET
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
*/
#include <stdlib.h>
#include "matrixPow.h"
#include "spec.h"
#include "pow.h"
#include "matrixTranspose.h"
#include "conj.h"
#include "zeros.h"
#include "matrixInversion.h"
#include "matrixMultiplication.h"
void spowma(float* in, int rows, float power, float* out){
int i=0, j=0;
int symmetric=0;
floatComplex *eigenvalues,*eigenvectors,*tmp;
float* ZEROS;
/* Data initialization */
eigenvalues = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
eigenvectors = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
tmp = (floatComplex*)malloc((unsigned int)(rows*rows)*sizeof(floatComplex));
ZEROS = (float*)malloc((unsigned int)(rows*rows)*sizeof(float));
/* symmetric test*/
for(i=0;i<rows;i++) {
for (j=0;j<rows;j++)
if (in[i*rows+j]!=in[j*rows+i]) break;
if (j!=rows) break;
}
if ((i==rows)&&(j==rows)) symmetric=1;
szerosa(ZEROS,rows,rows);
tmp = FloatComplexMatrix(in,ZEROS,rows*rows);
/* find eigenvalues and eigenvectors */
cspec2a(tmp, rows, eigenvalues,eigenvectors);
/* make operation on eigenvalues and eigenvectors */
for (i=0;i<rows;i++)
eigenvalues[i+i*rows]=cpows(eigenvalues[i+i*rows],FloatComplex(power,0));
cmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
if (symmetric){
ctransposea(eigenvectors, rows,rows, eigenvalues);
cconja(eigenvalues, rows*rows, eigenvalues);
}
else cinverma(eigenvectors, eigenvalues, rows);
cmulma(tmp, rows, rows, eigenvalues, rows, rows, eigenvectors);
for (i=0;i<rows*rows;i++) out[i]=creals(eigenvectors[i]);
free(eigenvalues);
free(eigenvectors);
free(tmp);
}
|
