Original Version

1 files changed, 64 insertions, 0 deletions

diff --git a/src/c/matrixOperations/powm/zpowma.c b/src/c/matrixOperations/powm/zpowma.c
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+++ b/src/c/matrixOperations/powm/zpowma.c
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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 "matrixPow.h"
+#include "spec.h"
+#include "pow.h"
+#include "matrixTranspose.h"
+#include "conj.h"
+#include "matrixInversion.h"
+#include "matrixMultiplication.h"
+
+void zpowma(doubleComplex* in, int rows, doubleComplex power, doubleComplex* out){
+	int i=0, j=0;
+	int hermitian=0;
+	doubleComplex *eigenvalues,*eigenvectors,*tmp;
+	
+	/* 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));
+	
+	/* hermitian test*/
+	for(i=0;i<rows;i++) {
+		for (j=0;j<rows;j++)
+			if ((zreals(in[i*rows+j])!=zreals(in[j*rows+i])) || (zimags(in[i*rows+j])!=-zimags(in[j*rows+i]))) break;
+		
+		if (j!=rows) break;
+	}
+	
+	if ((i==rows)&&(j==rows)) hermitian=1;
+	
+	
+	/* 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]=zpows(eigenvalues[i+i*rows],power);
+			
+	zmulma(eigenvectors, rows, rows, eigenvalues, rows, rows, tmp);
+	
+	if (hermitian){		
+		ztransposea(eigenvectors, rows,rows, eigenvalues);
+		zconja(eigenvalues, rows*rows, eigenvalues);
+	}
+	else zinverma(eigenvectors, eigenvalues, rows);
+	
+	zmulma(tmp, rows, rows, eigenvalues, rows, rows, out);
+	
+	free(eigenvalues);
+	free(eigenvectors);
+	free(tmp);
+	
+}