/*
Copyright (C) 2013 William Hart
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#include
#include
#include
#include "flint.h"
#include "longlong.h"
#include "mpn_extras.h"
#include "ulong_extras.h"
int main(void)
{
int i, result;
mpz_t a, d, r1, r2;
gmp_randstate_t st;
mp_ptr dinv;
mp_size_t size, size2;
flint_bitcnt_t norm;
FLINT_TEST_INIT(state);
flint_printf("mod_preinvn....");
fflush(stdout);
mpz_init(a);
mpz_init(d);
mpz_init(r1);
/* don't init r2 */
gmp_randinit_default(st);
/* test flint_mpn_mod_preinvn */
for (i = 0; i < 10000; i++)
{
size = n_randint(state, 200) + 1;
size2 = n_randint(state, 200) + size;
mpz_rrandomb(a, st, size2*FLINT_BITS);
do {
mpz_rrandomb(d, st, size*FLINT_BITS);
} while (mpz_sgn(d) == 0);
/* normalise */
count_leading_zeros(norm, d->_mp_d[d->_mp_size - 1]);
mpz_mul_2exp(d, d, norm);
mpz_mul_2exp(a, a, norm);
size2 = a->_mp_size;
/* make space for r */
r2->_mp_size = size2;
r2->_mp_d = flint_malloc(r2->_mp_size*sizeof(mp_limb_t));
/* reduce a mod d */
mpz_fdiv_r(r1, a, d);
dinv = flint_malloc(size*sizeof(mp_limb_t));
flint_mpn_preinvn(dinv, d->_mp_d, size);
flint_mpn_mod_preinvn(r2->_mp_d, a->_mp_d, size2, d->_mp_d, size, dinv);
/* normalise */
while (size && r2->_mp_d[size - 1] == 0) size--;
r2->_mp_size = size;
result = (mpz_cmp(r1, r2) == 0);
if (!result)
{
flint_printf("FAIL:\n");
gmp_printf("%Zd\n", a);
gmp_printf("%Zd\n", d);
gmp_printf("%Zd\n", r1);
flint_printf("size = %wd\n", size);
flint_printf("size2 = %wd\n", size2);
abort();
}
flint_free(dinv);
flint_free(r2->_mp_d);
}
/* test flint_mpn_mod_preinvn alias r and a */
for (i = 0; i < 10000; i++)
{
size = n_randint(state, 200) + 1;
size2 = n_randint(state, 200) + size;
mpz_rrandomb(a, st, size2*FLINT_BITS);
do {
mpz_rrandomb(d, st, size*FLINT_BITS);
} while (mpz_sgn(d) == 0);
/* normalise */
count_leading_zeros(norm, d->_mp_d[d->_mp_size - 1]);
mpz_mul_2exp(d, d, norm);
mpz_mul_2exp(a, a, norm);
size2 = a->_mp_size;
/* reduce a mod d */
mpz_fdiv_r(r1, a, d);
dinv = flint_malloc(size*sizeof(mp_limb_t));
flint_mpn_preinvn(dinv, d->_mp_d, size);
flint_mpn_mod_preinvn(a->_mp_d, a->_mp_d, size2, d->_mp_d, size, dinv);
/* normalise */
while (size && a->_mp_d[size - 1] == 0) size--;
a->_mp_size = size;
result = (mpz_cmp(r1, a) == 0);
if (!result)
{
flint_printf("FAIL:\n");
gmp_printf("%Zd\n", a);
gmp_printf("%Zd\n", d);
gmp_printf("%Zd\n", r1);
flint_printf("size = %wd\n", size);
flint_printf("size2 = %wd\n", size2);
abort();
}
flint_free(dinv);
}
mpz_clear(a);
mpz_clear(d);
mpz_clear(r1);
/* don't clear r2 */
gmp_randclear(st);
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}