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authorSiddhesh Wani2015-05-25 14:46:31 +0530
committerSiddhesh Wani2015-05-25 14:46:31 +0530
commit6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26 (patch)
tree1b7bd89fdcfd01715713d8a15db471dc75a96bbf /2.3-1/src/c/matrixOperations/determ/cdeterma.c
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Original Version
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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>
+#ifndef WITHOUT_LAPACK
+#include "lapack.h"
+#else
+#include "division.h"
+#endif
+
+#include "determ.h"
+#include "multiplication.h"
+#include "subtraction.h"
+#include "addition.h"
+
+
+
+floatComplex cdeterma(floatComplex *in, int size){
+#ifndef WITHOUT_LAPACK
+ int i=0,info=0;
+ doubleComplex *inCopy,out_tmp;
+ int *vectPivot;
+ floatComplex out, tmp1,tmp2;
+
+
+ /*Calculation of the determinant*/
+ switch(size){
+ case 2 : out = cdiffs(cmuls(in[0],in[3]),cmuls(in[1],in[2]));
+ break;
+ case 3 : /*regle de Sarrus*/
+ out=FloatComplex(0,0);
+ /*Addition part*/
+ tmp1 = cmuls(in[0],in[4]);
+ tmp2 = cmuls(tmp1,in[8]);
+ out = cadds(out,tmp2);
+ tmp1 = cmuls(in[1],in[5]);
+ tmp2 = cmuls(tmp1,in[6]);
+ out = cadds(out,tmp2);
+ tmp1 = cmuls(in[2],in[3]);
+ tmp2 = cmuls(tmp1,in[7]);
+ out = cadds(out,tmp2);
+ /*Subtraction part*/
+ tmp1 = cmuls(in[0],in[5]);
+ tmp2 = cmuls(tmp1,in[7]);
+ out = cdiffs(out,tmp2);
+ tmp1 = cmuls(in[1],in[3]);
+ tmp2 = cmuls(tmp1,in[8]);
+ out = cdiffs(out,tmp2);
+ tmp1 = cmuls(in[2],in[4]);
+ tmp2 = cmuls(tmp1,in[6]);
+ out = cdiffs(out,tmp2);
+ break;
+
+ default :
+
+
+ /*We must have a doubleComplex matrix cause
+ zgetrf accept only double parameters*/
+
+ /*Copy the input matrix*/
+ inCopy=(doubleComplex*)malloc((unsigned int)(size*size)*sizeof(doubleComplex));
+ for (i=0;i<size*size;i++){
+ inCopy[i]=DoubleComplex((double)creals(in[i]),(double)cimags(in[i]));
+ }
+
+
+
+ vectPivot=(int*)malloc((unsigned int)size*sizeof(int));
+ zgetrf_ ( &size, &size, inCopy, &size, vectPivot, &info);
+
+ out_tmp=DoubleComplex(1,0);
+ for (i=0;i<size;i++){
+ if (vectPivot[i]!=i+1) out_tmp=DoubleComplex(-zreals(out_tmp),-zimags(out_tmp));
+ out_tmp=zmuls(inCopy[i*(size+1)],out_tmp);
+ }
+ out=FloatComplex((float)zreals(out_tmp),(float)zimags(out_tmp));
+
+ free(vectPivot);
+ free(inCopy);
+ }
+#else
+ int i=0,j=0,k=0;
+ floatComplex *inCopy;
+ floatComplex tmp1,tmp2;
+ floatComplex pivot;
+ floatComplex out;
+
+
+ switch(size){
+ case 2 : out = cdiffs(cmuls(in[0],in[3]),cmuls(in[1],in[2]));
+ break;
+ case 3 : /*regle de Sarrus*/
+ out=FloatComplex(0,0);
+ /*Addition part*/
+ tmp1 = cmuls(in[0],in[4]);
+ tmp2 = cmuls(tmp1,in[8]);
+ out = cadds(out,tmp2);
+ tmp1 = cmuls(in[1],in[5]);
+ tmp2 = cmuls(tmp1,in[6]);
+ out = cadds(out,tmp2);
+ tmp1 = cmuls(in[2],in[3]);
+ tmp2 = cmuls(tmp1,in[7]);
+ out = cadds(out,tmp2);
+ /*Subtraction part*/
+ tmp1 = cmuls(in[0],in[5]);
+ tmp2 = cmuls(tmp1,in[7]);
+ out = cdiffs(out,tmp2);
+ tmp1 = cmuls(in[1],in[3]);
+ tmp2 = cmuls(tmp1,in[8]);
+ out = cdiffs(out,tmp2);
+ tmp1 = cmuls(in[2],in[4]);
+ tmp2 = cmuls(tmp1,in[6]);
+ out = cdiffs(out,tmp2);
+ break;
+
+ default :
+ /*Copy the input matrix*/
+ inCopy=malloc((unsigned int)(size*size)*sizeof(floatComplex));
+ for (i=0;i<size*size;i++) inCopy[i]=in[i];
+
+ for (i=0;i<size;i++){
+ for (j=i+1;j<size;j++){
+ pivot = crdivs(inCopy[i*size+j],inCopy[i*size+i]);
+ for (k=0;k<size-i;k++){
+ inCopy[i*size+j+k*size]=cdiffs(inCopy[i*size+j+k*size],cmuls(pivot,inCopy[i*size+i+k*size]));
+ }
+ }
+ }
+ out=FloatComplex(1,0);
+ for (i=0;i<size;i++){
+ out = cmuls(out,inCopy[i*size+i]);
+ }
+ free(inCopy);
+ break;
+ }
+#endif
+
+ return out;
+}
+
+