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/* ---------------------------------------------------------------------
*
* -- Integer Matrix Library (IML)
* (C) Copyright 2004, 2006 All Rights Reserved
*
* -- IML routines -- Version 1.0.1 -- November, 2006
*
* Author : Zhuliang Chen
* Contributor(s) : Arne Storjohann
* University of Waterloo -- School of Computer Science
* Waterloo, Ontario, N2L3G1 Canada
*
* ---------------------------------------------------------------------
*
* -- Copyright notice and Licensing terms:
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions, and the following disclaimer in
* the documentation and/or other materials provided with the distri-
* bution.
* 3. The name of the University, the IML group, or the names of its
* contributors may not be used to endorse or promote products deri-
* ved from this software without specific written permission.
*
* -- Disclaimer:
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY
* OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPE-
* CIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
* TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
* OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEO-
* RY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (IN-
* CLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
*/
#include <stdio.h>
#include <stdlib.h>
#include "gmp.h"
#include "iml.h"
long *randomLongMat (const long n, const long m, const long bd);
mpz_t *randomMPMat (const long n, const long m, const mpz_t mp_bd);
int
main (void)
{
long i, j, n, m, bd, s, *A;
mpz_t *mp_B, *mp_N;
/* generate a n x m random left hand side matrix A */
n = 5;
m = 10;
bd = 34; /* entris of A satisfying -2^bd < e < 2^bd */
A = randomLongMat (n, m, bd);
fprintf (stdout, "Input system:\n");
for (i = 0; i < n; i++)
{
fprintf (stdout, " ");
for (j = 0; j < m; j++)
fprintf (stdout, "%ld\t", A[i * m + j]);
fprintf (stdout, "\n");
}
s = nullspaceLong (n, m, A, &mp_N);
fprintf (stdout, "Dimension of nullspace: ");
fprintf (stdout, " %ld\n", s);
for (i = 0; i < m; i++)
{
for (j = 0; j < s; j++)
gmp_fprintf (stdout, " %Zd", mp_N[i * s + j]);
fprintf (stdout, "\n");
}
free (A);
for (i = 0; i < m * s; i++)
mpz_clear (mp_N[i]);
free (mp_N);
return 0;
}
/* generate a n x m random dense signed long matrix with entries lying in
* (-2^bd, 2^bd)
*/
long *
randomLongMat (const long n, const long m, const long bd)
{
long i, j;
mpz_t mp_rand, mp_sign;
gmp_randstate_t state;
unsigned long seed;
FILE *devrandom;
long *M;
static unsigned long inc = 0;
M = (long *) malloc (n * m * sizeof (long));
mpz_init (mp_sign);
mpz_init (mp_rand);
gmp_randinit_default (state);
seed = 387439;
/* generate random seed using /dev/random */
if ((devrandom = fopen ("/dev/urandom", "r")) != NULL)
{
fread (&seed, sizeof (seed), 1, devrandom);
fclose (devrandom);
}
seed += inc;
inc += 1;
gmp_randseed_ui (state, seed);
for (i = 0; i < n * m; i++)
{
mpz_urandomb (mp_rand, state, bd);
mpz_urandomb (mp_sign, state, 1);
if (mpz_sgn (mp_sign) == 0)
mpz_neg (mp_rand, mp_rand);
M[i] = mpz_get_si (mp_rand);
}
mpz_clear (mp_rand);
gmp_randclear (state);
mpz_clear (mp_sign);
return M;
}
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