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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 "spec.h"
#include "lapack.h"
#include "zeros.h"
#include "stdio.h"
#include "conj.h"
void zspec2a(doubleComplex* in, int rows,doubleComplex* eigenvalues, doubleComplex* eigenvectors){
int i = 0, j = 0;
int hermitian = 0;
int INFO = 0;
int iWorkSize = 0;
doubleComplex* pdblWork;
doubleComplex* pdblLeftvectors;
doubleComplex* pdblRightvectors;
doubleComplex* pdblRWork;
double* pdblRWork2;
double* outReal;
double* outImag;
doubleComplex* inCopy;
inCopy = (doubleComplex*)malloc((unsigned int)(rows*rows) * sizeof(doubleComplex));
outReal = (double*)malloc((unsigned int)rows * sizeof(double));
outImag = (double*)malloc((unsigned int)rows * sizeof(double));
pdblLeftvectors=NULL;
pdblRightvectors=NULL;
iWorkSize = 2*rows;
pdblWork = (doubleComplex*)malloc((unsigned int)iWorkSize * sizeof(doubleComplex));
pdblRWork = NULL;
pdblRWork2 = NULL;
for(i=0;i<rows*rows;i++) {
inCopy[i]=DoubleComplex(zreals(in[i]),zimags(in[i]));
eigenvectors[i]=DoubleComplex(zreals(in[i]),zimags(in[i]));
}
zzerosa(eigenvalues,1,rows*rows);
/* look if the matrix is symmetric */
for (i=0;i<rows;i++){
for (j=0;j<rows;j++)
if ( (zreals(in[i*rows+j])!=zreals(zconjs(in[i+j*rows]))) ||
(zimags(in[i*rows+j])!=zimags(zconjs(in[i+j*rows]))) )
break;
if (j!=rows) break;
}
/* the matrix is symmetric if the 2 loops goes to end i.e
i==rows and j==rows */
if ((i==rows)&&(j==rows)) hermitian=1;
/* apply lapack function according to symmetry */
if(hermitian){
pdblRWork2 = (double*)malloc((unsigned int)(3*rows) * sizeof(double));
C2F(zheev)( "V", "U", &rows, eigenvectors, &rows, outReal, pdblWork, &iWorkSize, pdblRWork2, &INFO );
dzerosa(outImag,1,rows);
for (i=0;i<rows;i++) eigenvalues[i+i*rows]=DoubleComplex(outReal[i],outImag[i]);
}
else {
pdblRWork = (doubleComplex*)malloc((unsigned int)(3*rows) * sizeof(doubleComplex));
C2F(zgeev)( "N", "V", &rows, inCopy, &rows, eigenvalues,
pdblLeftvectors, &rows, eigenvectors, &rows, pdblWork, &iWorkSize,
pdblRWork, &INFO );
for (i=1;i<rows;i++) {
eigenvalues[i+i*rows]=DoubleComplex(zreals(eigenvalues[i]),zimags(eigenvalues[i]));
eigenvalues[i]=DoubleComplex(0,0);
}
}
free(inCopy);
free(outReal);
free(outImag);
free(pdblWork);
free(pdblRWork);
free(pdblRWork2);
free(pdblLeftvectors);
free(pdblRightvectors);
}
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