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/*
* 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 dpowma(double* in, int rows, double power, double* out){
int i=0, j=0;
int symmetric=0;
doubleComplex *eigenvalues,*eigenvectors,*tmp;
double* ZEROS;
/* Data initialization */
eigenvalues = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
eigenvectors = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
tmp = (doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
ZEROS=(double*)malloc((unsigned int)(rows*rows)*sizeof(double));
/* 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;
dzerosa(ZEROS,rows,rows);
tmp = DoubleComplexMatrix(in,ZEROS,rows*rows);
/* find eigenvalues and eigenvectors */
zspec2a(tmp, rows, eigenvalues,eigenvectors);
/* for (i=0;i<rows*rows;i++) printf("%f+%f*i\n",zreals(eigenvalues[i]),zimags(eigenvalues[i])); */
/* make operation on eigenvalues and eigenvectors */
for (i=0;i<rows;i++)
eigenvalues[i+i*rows]=zpows(eigenvalues[i+i*rows],DoubleComplex(power,0));
zmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
if (symmetric){
ztransposea(eigenvectors, rows,rows, eigenvalues);
zconja(eigenvalues, rows*rows, eigenvalues);
}
else zinverma(eigenvectors, eigenvalues, rows);
zmulma(tmp, rows, rows, eigenvalues, rows, rows, eigenvectors);
for (i=0;i<rows*rows;i++) out[i]=zreals(eigenvectors[i]);
free(eigenvalues);
free(eigenvectors);
free(tmp);
}
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