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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 <stdio.h>
#include <malloc.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"
void zlogma (doubleComplex* in, int rows, doubleComplex* out){
/* Algo : */
/* trouver les valeurs propres vp */
/* en déduire les vecteurs propres Vp */
/* utiliser la formule suivante
* logm = Vp * diag(log(diag(vp)) * inv(Vp) */
int i;
doubleComplex *eigenvalues, *eigenvectors, *tmp;
int hermitienne = 0;
int info = 0; /* Used by LAPACK */
int iWorkSize = 0; /* Used by LAPACK */
doubleComplex *pdblWork = NULL; /* Used by LAPACK */
doubleComplex *pdblRWork = NULL; /* Used by LAPACK */
doubleComplex * pdblLeftvectors = NULL; /* Used by LAPACK */
/* Data initialization */
eigenvalues = malloc((uint)(rows*rows)*sizeof(doubleComplex));
eigenvectors = malloc((uint)(rows*rows)*sizeof(doubleComplex));
tmp = malloc((uint)(rows*rows)*sizeof(doubleComplex));
iWorkSize = max(1,2*rows);
pdblWork = malloc((uint)(iWorkSize)*sizeof(doubleComplex));
pdblRWork = malloc((uint)(2*rows)*sizeof(doubleComplex));
/* Copy in in inCopy */
for (i=0;i<rows*rows;i++)
out[i] = in[i];
/* regarde si in est hermitienne */
ztransposea(in,rows,rows,tmp);
zconja(tmp,rows*rows,tmp);
for (i=0;i<rows*rows;i++){
if ( (zreals(in[i])!=zreals(tmp[i])) || (zimags(in[i])!=zimags(tmp[i])) ) break;
}
if (i==rows*rows) hermitienne = 1;
/* trouver les valeurs propres vp ainsi que les vecteurs propres*/
if (hermitienne){
printf("wazaaaaaaa\n");
C2F(zheev)( "V", "U", &rows, out, &rows, eigenvalues,
pdblWork, &iWorkSize, pdblRWork, &info );
/* stocker les valeurs propres comme il faut parce qu'elle sont mal rangées
une fois sorties de zheev*/
for(i=rows-1;i>=0;i--) {
/* on le fait en descendant sinon on écrase l'element 0 alors qu'il doit etre réutilisé
---> erreur */
if ( ((i+i*rows)/rows)%2 == 0)
eigenvalues[i*rows+i] = DoubleComplex(zreals(eigenvalues[(i*rows+i)/(2*rows)]),0);
else eigenvalues[i*rows+i] = DoubleComplex(zimags(eigenvalues[(i*rows+i)/(2*rows)]),0);
}
for (i=1;i<rows;i++) eigenvalues[i]=DoubleComplex(0,0);
eigenvectors = out;
}
else {
printf("passe\n");
C2F(zgeev)( "N", "V", &rows, out, &rows, eigenvalues,
pdblLeftvectors, &rows, eigenvectors, &rows, pdblWork, &iWorkSize,
pdblRWork, &info );
for(i=0;i<rows;i++) {
eigenvalues[i*rows+i] = eigenvalues[i];
if ((i*rows+i)!=i) eigenvalues[i] = DoubleComplex(0,0);
}
}
/* utiliser la formule suivante
* logm = Vp * diag(log(diag(vp)) * inv(Vp) */
/* diag(log(diag(vp)) */
for (i=0;i<rows*rows;i++){
if ((i%(rows+1))==0) /* teste si i est sur la diagonale */
eigenvalues[i] = zlogs(eigenvalues[i]);
else eigenvalues[i] = DoubleComplex(0,0);
}
/* Vp * diag(log(diag(vp)) */
zmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
/* Vp' ou inv(Vp) */
if (hermitienne) {
/* we use eigenvalues as a temporary matrix cause it's useless now*/
ztransposea(eigenvectors,rows,rows,eigenvalues);
zconja(eigenvalues,rows*rows,eigenvectors);
}
else zinverma(eigenvectors, eigenvectors, rows);
/* Vp * diag(log(diag(vp))*inv(Vp) */
zmulma(tmp, rows, rows, eigenvectors, rows, rows, out);
/* FIXME : pb with eigenvectors */
eigenvectors=NULL;
free(eigenvalues);
free(eigenvectors);
free(tmp);
free(pdblWork);
free(pdblRWork);
}
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