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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 "lapack.h"
#include "logm.h"
#include "log.h"
#include "matrixMultiplication.h"
#include "matrixTranspose.h"
#include "matrixInversion.h"
#include "max.h"
#include "conj.h"
#include "spec.h"
void zlogma (doubleComplex* in, int rows, doubleComplex* out){
/* Algo : */
/* find eigenvalues and eigenvectors */
/* use formula
* logm = Vp * diag(log(diag(vp)) * inv(Vp) */
int i = 0,j = 0;
doubleComplex *eigenvalues, *eigenvectors, *tmp, *tmp2;
int hermitienne = 0;
/* 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));
tmp2 = (doubleComplex*) malloc( (unsigned int) (rows*rows)*sizeof(doubleComplex));
/* hermitian test */
for (i=0;i<rows;i++){
for(j=0;j<rows;j++)
if ( (zreals(in[i+j*rows])!=zreals(in[j+i*rows])) ||
(zimags(in[i+j*rows])!=zimags(in[j+i*rows])) ) break;
if (j!=rows) break;
}
if ((i==rows) && (j==rows)) {
hermitienne=0;
}
/* find eigenvalues and eigenvectors */
zspec2a(in,rows,eigenvalues,eigenvectors);
/* make operation on eigenvalues and eigenvectors */
/*
for (i=0;i < rows;i++) {
eigenvalues[i+i*rows] = zlogs(eigenvalues[i+i*rows]);
}
*/
for (i=0;i < rows*rows;i++) {
if (zreals(eigenvalues[i]) == 0 && zimags(eigenvalues[i]) == 0) {
eigenvalues[i]=DoubleComplex(-0.0, 0.0);
}
else {
eigenvalues[i]=zlogs(eigenvalues[i]);
}
}
/*
zloga(eigenvalues, rows*rows, eigenvalues);
*/
zmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
if (hermitienne) {
/* we use eigenvalues as a temporary matrix cause it's useless now*/
ztransposea(eigenvectors,rows,rows,eigenvalues);
zconja(eigenvalues,rows*rows,tmp2);
}
else {
zinverma(eigenvectors, tmp2, rows);
}
zmulma(tmp, rows, rows, tmp2, rows, rows, out);
free(eigenvalues);
free(eigenvectors);
free(tmp);
}
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