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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);
+
+}
+