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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"
doubleComplex zdeterma(doubleComplex * in, int size){
#ifndef WITHOUT_LAPACK
doubleComplex tmp1,tmp2,out;
int i=0,info=0;
doubleComplex *inCopy;
int* vectPivot;
switch(size){
case 2 : out = zdiffs(zmuls(in[0],in[3]),zmuls(in[1],in[2]));
break;
case 3 : /*regle de Sarrus*/
out=DoubleComplex(0,0);
/*Addition Part*/
tmp1 = zmuls(in[0],in[4]);
tmp2 = zmuls(tmp1,in[8]);
out = zadds(out,tmp2);
tmp1 = zmuls(in[1],in[5]);
tmp2 = zmuls(tmp1,in[6]);
out = zadds(out,tmp2);
tmp1 = zmuls(in[2],in[3]);
tmp2 = zmuls(tmp1,in[7]);
out = zadds(out,tmp2);
/*Subtraction Part*/
tmp1 = zmuls(in[0],in[5]);
tmp2 = zmuls(tmp1,in[7]);
out = zdiffs(out,tmp2);
tmp1 = zmuls(in[1],in[3]);
tmp2 = zmuls(tmp1,in[8]);
out = zdiffs(out,tmp2);
tmp1 = zmuls(in[2],in[4]);
tmp2 = zmuls(tmp1,in[6]);
out = zdiffs(out,tmp2);
break;
default :
/*Allocate inCopy and Copy in in inCopy*/
inCopy=(doubleComplex*)malloc((unsigned int)(size*size)*sizeof(doubleComplex));
for (i=0;i<size*size;i++) inCopy[i]=in[i];
/*Calculation of determinant*/
vectPivot = (int*)malloc((unsigned int)size*sizeof(int));
zgetrf_ ( &size, &size, inCopy, &size, vectPivot, &info);
out=DoubleComplex(1,0);
for (i=0;i<size;i++){
if (vectPivot[i]!=i+1) out=DoubleComplex(-zreals(out),-zimags(out));
out=zmuls(inCopy[i*(size+1)],out);
}
free(vectPivot);
free(inCopy);
break;
}
#else
int i=0,j=0,k=0;
doubleComplex *inCopy;
doubleComplex tmp1,tmp2;
doubleComplex pivot;
doubleComplex out;
switch(size){
case 2 : out = zdiffs(zmuls(in[0],in[3]),zmuls(in[1],in[2]));
break;
case 3 : /*regle de Sarrus*/
out=DoubleComplex(0,0);
/*Addition Part*/
tmp1 = zmuls(in[0],in[4]);
tmp2 = zmuls(tmp1,in[8]);
out = zadds(out,tmp2);
tmp1 = zmuls(in[1],in[5]);
tmp2 = zmuls(tmp1,in[6]);
out = zadds(out,tmp2);
tmp1 = zmuls(in[2],in[3]);
tmp2 = zmuls(tmp1,in[7]);
out = zadds(out,tmp2);
/*Subtraction Part*/
tmp1 = zmuls(in[0],in[5]);
tmp2 = zmuls(tmp1,in[7]);
out = zdiffs(out,tmp2);
tmp1 = zmuls(in[1],in[3]);
tmp2 = zmuls(tmp1,in[8]);
out = zdiffs(out,tmp2);
tmp1 = zmuls(in[2],in[4]);
tmp2 = zmuls(tmp1,in[6]);
out = zdiffs(out,tmp2);
break;
default :
/*Copy the input matrix*/
inCopy=malloc((unsigned int)(size*size)*sizeof(doubleComplex));
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 = zrdivs(inCopy[i*size+j],inCopy[i*size+i]);
for (k=0;k<size-i;k++){
inCopy[i*size+j+k*size]=zdiffs(inCopy[i*size+j+k*size],zmuls(pivot,inCopy[i*size+i+k*size]));
}
}
}
out=DoubleComplex(1,0);
for (i=0;i<size;i++){
out = zmuls(out,inCopy[i*size+i]);
}
free(inCopy);
break;
}
#endif
return out;
}
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