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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);
+
+}