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/* Copyright (C) 2016 - IIT Bombay - FOSSEE
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
Author: Siddhesh Wani
Organization: FOSSEE, IIT Bombay
Email: toolbox@scilab.in
*/
#include <stdlib.h>
#ifndef WITHOUT_LAPACK
#include "lapack.h"
#endif
#include "determ.h"
#include "lapack.h"
int8 i8determa(int8 * in, int size){
#ifndef WITHOUT_LAPACK
int i=0, info=0;
int8 out=0;
int8 *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=(int8*)malloc((unsigned int)(size*size)*sizeof(int8));
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;
int8 out=0, pivot=0;
int8 *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(int8));
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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