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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"
#endif
#include "determ.h"
#include "lapack.h"
double ddeterma(double * in, int size){
#ifndef WITHOUT_LAPACK
int i=0, info=0;
double out=0;
double *inCopy=NULL;
int* tmp=NULL;
/*Calculation of the determinant*/
switch (size){
case 2 : out = in[0]*in[3]-in[1]*in[2];
break;
case 3 : /*regle de Sarrus*/
out = in[0]*in[4]*in[8]+in[1]*in[5]*in[6]+in[2]*in[3]*in[7]
-in[0]*in[5]*in[7]-in[1]*in[3]*in[8]-in[2]*in[4]*in[6];
break;
default :
/*Copy the input matrix*/
inCopy=(double*)malloc((unsigned int)(size*size)*sizeof(double));
for (i=0;i<size*size;i++) inCopy[i]=in[i];
tmp=(int*)malloc((unsigned int)size*sizeof(int));
dgetrf_(&size, &size, inCopy, &size, tmp, &info);
out=1;
for (i=0;i<size;i++){
if (tmp[i]!=i+1) out=-out;
out=inCopy[i*(size+1)]*out;
}
free(tmp);
free(inCopy);
break;
}
#else
int i=0, j=0, k=0;
double out=0, pivot=0;
double *inCopy=NULL;
/*Calculation of the determinant*/
switch (size){
case 2 : out = in[0]*in[3]-in[1]*in[2];
break;
case 3 : /*regle de Sarrus*/
out = in[0]*in[4]*in[8]+in[1]*in[5]*in[6]+in[2]*in[3]*in[7]
-in[0]*in[5]*in[7]-in[1]*in[3]*in[8]-in[2]*in[4]*in[6];
break;
default :
/*Copy the input matrix*/
inCopy=malloc((unsigned int)(size*size)*sizeof(double));
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 = inCopy[i*size+j]/inCopy[i*size+i];
for (k=0;k<size-i;k++){
inCopy[i*size+j+k*size]-=pivot*inCopy[i*size+i+k*size];
}
}
}
out=1;
for (i=0;i<size;i++){
out *= inCopy[i*size+i];
}
free(inCopy);
break;
}
#endif
return out;
}
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