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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 "matrixInversion.h"
#include "matrixMultiplication.h"
void cpowma(floatComplex* in, int rows, floatComplex power, floatComplex* out){
int i=0, j=0;
int hermitian=0;
floatComplex *eigenvalues,*eigenvectors,*tmp;
/* 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));
/* symmetric test*/
for(i=0;i<rows;i++) {
for (j=0;j<rows;j++)
if ((creals(in[i*rows+j])!=creals(in[j*rows+i])) || (cimags(in[i*rows+j])!=-cimags(in[j*rows+i]))) break;
if (j!=rows) break;
}
if ((i==rows)&&(j==rows)) hermitian=1;
/* find eigenvalues and eigenvectors */
cspec2a(in, rows, eigenvalues,eigenvectors);
/* make operation on eigenvalues and eigenvectors */
for (i=0;i<rows;i++)
eigenvalues[i+i*rows]=cpows(eigenvalues[i+i*rows],power);
cmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
if (hermitian){
ctransposea(eigenvectors, rows,rows, eigenvalues);
cconja(eigenvalues, rows*rows, eigenvalues);
}
else cinverma(eigenvectors, eigenvalues, rows);
cmulma(tmp, rows, rows, eigenvalues, rows, rows, out);
free(eigenvalues);
free(eigenvectors);
free(tmp);
}
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