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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 <stdlib.h>
#include <stdio.h>
#include <assert.h>
#include <math.h>
#include "hilb.h"
#define SIZE 6
static void shilbaTest ( void ){
int i = 0 ;
int j = 0 ;
float Result[] =
{36.0f,-630.0f,3360.0f,-7560.0f,7560.0f,-2772.0f,
-630.0f,14700.0f,-88200.0f,211680.0f,-220500.0f,83160.0f,
3360.0f,-88200.0f,564480.0f,-1411200.0f,1512000.0f,-582120.0f,
-7560.0f,211680.0f,-1411200.0f,3628800.0f,-3969000.0f,1552320.0f,
7560.0f,-220500.0f,1512000.0f,-3969000.0f,4410000.0f,-1746360.0f,
-2772.0f,83160.0f,-582120.0f,1552320.0f,-1746360.0f,698544.0f};
float out[SIZE*SIZE] ;
shilba ( out , SIZE ) ;
for (i = 0 ; i < SIZE ; i++)
{
printf ("\n\t" ) ;
for ( j = 0 ; j < SIZE; j++)
printf ("%e\t" , out[i + j*SIZE] );
}
for ( i = 0 ; i < SIZE*SIZE ; i++ )
{
assert ( fabs ( out[i] - Result[i] ) / fabs( out[i]) < 1e-06 ) ;
}
printf ("\n\n" ) ;
}
static void dhilbaTest ( void ){
int i = 0 ;
int j = 0 ;
double Result[] =
{36,-630,3360,-7560,7560,-2772,
-630,14700,-88200,211680,-220500,83160,
3360,-88200,564480,-1411200,1512000,-582120,
-7560,211680,-1411200,3628800,-3969000,1552320,
7560,-220500,1512000,-3969000,4410000,-1746360,
-2772,83160,-582120,1552320,-1746360,698544}
;
double out[SIZE*SIZE] ;
dhilba ( out , SIZE ) ;
for (i = 0 ; i < SIZE ; i++)
{
printf ("\n\t" ) ;
for ( j = 0 ; j < SIZE; j++)
printf ("%e\t" , out[i + j*SIZE] );
}
for ( i = 0 ; i < SIZE*SIZE ; i++ )
{
assert ( fabs ( out[i] - Result[i] ) / fabs( out[i]) < 1e-16 ) ;
}
printf ("\n\n" ) ;
}
static int testHilbert(void) {
printf("\n>>>>Hilbert's Matrix Tests\n");
printf("\n\t>>> Float Test\n");
shilbaTest();
printf("\n\t>>> Double Test\n");
dhilbaTest();
return 0;
}
int main(void) {
assert(testHilbert() == 0);
return 0;
}
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