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/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008-2008 - INRIA - Allan SIMON
*
* 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 "matrixDivision.h"
#include "lapack.h"
void drdiva ( double* in1, int lines1, int columns1 ,
double* in2, int lines2, int columns2 ,
double* out ){
/* creation of all temp variable , maybe some of them are not accurate and could be deleted
**/
int iexit = 0 ;
int iwork = 0 ;
int info = 0 ;
int imax = 0 ;
int rank = 0 ;
int tMinLinCol1 = 0 ;
int temp = 0;
int i = 0 , j = 0 ,ij = 0 ,ji = 0;
int* pIpiv = (int*) malloc( sizeof(int) * (unsigned int) columns1);
int* pIwork = (int*) malloc( sizeof(int) * (unsigned int) columns1);
int* pJpvt = (int*) malloc( sizeof(int) * (unsigned int) lines1);
double* work = NULL;
double anorm = 0;
double rcond = 0 ;
double epsilon = getRelativeMachinePrecision() ;
double* transpOfIn1 = (double*) malloc(sizeof(double) * (unsigned int) lines1 * (unsigned int) columns1);
double* transpOfIn2 = (double*) malloc(sizeof(double) * (unsigned int) lines2 * (unsigned int) columns2);
double* copyOfTransIn1 = (double*) malloc( sizeof(double) * (unsigned int) lines1 * (unsigned int) columns1);
/* adaptation of the original code in scilab
iWorkMin = Max(4 * _iCols1, Max(Min(_iRows1, _iCols1) + 3 * _iRows1 + 1,
2 * Min(_iRows1, _iCols1) + _iRows2));
*/
if (lines1 > columns1)
tMinLinCol1 = columns1 ;
else
tMinLinCol1 = lines1;
if ( (tMinLinCol1 + 3 * lines1 + 1) > (2*tMinLinCol1 + lines2))
temp = tMinLinCol1 + 3 * lines1 + 1;
else
temp = 2*tMinLinCol1 + lines2;
if ( 4* columns1 > temp )
iwork = 4* columns1 ;
else
iwork = temp ;
work = (double*) malloc (sizeof(double) *(unsigned int) iwork );
anorm = getOneNorm( &lines1, &columns1 , in1 , work);
/* end of allocation area*/
dtransposea ( in1, lines1, columns1, transpOfIn1);
dtransposea ( in2, lines2, columns2, transpOfIn2) ;
/* case of a square matrix */
if ( lines1 == columns1 )
{
drowcata ( in1, lines1, columns1, NULL, 0 , 0 , copyOfTransIn1 ) ;
/*/ put here algo of LU fact of in1 dgetrf ( &columns1 , &columns1 , in1 , &columns1 , pIpiv , &info )
//return value in pIpiv*/
dgetrf_ ( &columns1 , &columns1 , in1 , &columns1 , pIpiv , &info );
if ( info == 0 )
{
/*/to get 1-norm of in1 put here algo dgecon which return rcond*/
dgecon_("1" , &columns1, copyOfTransIn1 , &columns1, &anorm,
&rcond, work, pIwork, &info);
if ( rcond > sqrt(epsilon ))
{/* put here algo to resolv linear equation in1 * X = in2 , the return value go in in2
// put here algo to copy in2 in out */
resolveSystemLinear (&columns1, &lines2, copyOfTransIn1, pIpiv,
transpOfIn2, &info) ;
dtransposea ( transpOfIn2 , columns2 , lines2 , out) ;
iexit = 1;
}
}
}
/* non-square matrix case */
if ( iexit== 0)
{
rcond = sqrt(epsilon );
if (lines1 < columns1)
imax = columns1 ;
else
imax = lines1;
dgelsy_ (&columns1, &lines1, &lines2, transpOfIn1 , &columns1,
transpOfIn2, &imax, pJpvt, &rcond, &rank, work,
&iwork, &info);
if (info == 0)
for(j = 0 ; j < lines1 ; j++)
{
for(i = 0 ; i < lines2 ; i++)
{
ij = i + j * lines2;
if ( lines1 > columns1 )
ji = j + i *lines1 ;
else
ji = j + i *columns1;
out[ij] = transpOfIn2[ji];
}
}
}
/* then we free all the allocated memory */
free ( pIpiv ) ;
free ( pIwork) ;
free ( work ) ;
free (transpOfIn1) ;
free (transpOfIn2) ;
free (copyOfTransIn1);
}
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