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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 "max.h"
void dspec2a(double* in, int rows,double* eigenvalues,double* eigenvectors){
int i=0, j=0, ij=0, ij1=0;
int symmetric=0;
int INFO=0;
int iWorkSize = 0;
double* pdblWork;
double* outReal;
double* outImag;
double* pdblLeftvectors;
double* pdblRightvectors;
double* inCopy;
/* FIXME : malloc here */
inCopy = (double*)malloc((unsigned int)(rows*rows) * sizeof(double));
outReal = (double*)malloc((unsigned int)rows * sizeof(double));
outImag = NULL;
pdblLeftvectors=NULL;
pdblRightvectors=NULL;
iWorkSize = 4*rows;
pdblWork = (double*)malloc((unsigned int)iWorkSize * sizeof(double));
for(i=0;i<rows*rows;i++) inCopy[i]=in[i];
/* look if the matrix is symmetric */
for (i=0;i<rows;i++){
for (j=0;j<rows;j++)
if (in[i*rows+j]!=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)) symmetric=1;
/* apply lapack function according to symmetry */
if(symmetric){
C2F(dsyev)( "V", "U", &rows, inCopy, &rows, outReal, pdblWork, &iWorkSize, &INFO );
/* Computation of eigenvectors */
for (i=0;i<rows*rows;i++) eigenvectors[i] = inCopy[i];
}
else {
pdblRightvectors=(double*)malloc((unsigned int)(rows*rows) * sizeof(double));
outImag = (double*)malloc((unsigned int)rows * sizeof(double));
C2F(dgeev)( "N", "V", &rows, inCopy, &rows, outReal, outImag,
pdblLeftvectors, &rows, pdblRightvectors, &rows, pdblWork, &iWorkSize, &INFO );
/* Computation of eigenvectors */
j=0;
while (j<rows)
{
if (outImag[j]==0)
{
for(i = 0 ; i < rows ; i++)
{
ij = i + j * rows;
eigenvectors[ij] = pdblRightvectors[ij];
}
j = j + 1;
}
else
{
for(i = 0 ; i < rows ; i++)
{
ij = i + j * rows;
ij1 = i + (j + 1) * rows;
eigenvectors[ij] = pdblRightvectors[ij];
eigenvectors[ij1] = pdblRightvectors[ij];
}
j = j + 2;
}
}
}
/* Computation of eigenvalues */
dzerosa(eigenvalues,1,rows*rows);
for (i=0;i<rows;i++) eigenvalues[i+i*rows]=outReal[i];
free(inCopy);
free(outReal);
free(outImag);
free(pdblLeftvectors);
free(pdblRightvectors);
free(pdblWork);
}
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