148 lines
4.5 KiB
C
148 lines
4.5 KiB
C
/*=============================================================================
|
|
|
|
This file is part of FLINT.
|
|
|
|
FLINT is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
FLINT is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with FLINT; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2010 William Hart
|
|
Copyright (C) 2011 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include <stdio.h>
|
|
#include <stdlib.h>
|
|
#include <gmp.h>
|
|
#include "flint.h"
|
|
#include "nmod_poly.h"
|
|
#include "ulong_extras.h"
|
|
|
|
int
|
|
main(void)
|
|
{
|
|
int i, result = 1;
|
|
FLINT_TEST_INIT(state);
|
|
|
|
|
|
flint_printf("exp_series....");
|
|
fflush(stdout);
|
|
|
|
/* Check exp(A+B) = exp(A) * exp(B) */
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t A, B, AB, expA, expB, expAB, S;
|
|
slong n;
|
|
slong N = 100;
|
|
mp_limb_t mod;
|
|
|
|
/* Make sure to workout the Newton code */
|
|
if (n_randint(state, 10) == 1)
|
|
N = 2000;
|
|
|
|
mod = n_randtest_prime(state, 0);
|
|
n = n_randtest(state) % N;
|
|
n = FLINT_MIN(n, mod);
|
|
|
|
nmod_poly_init(A, mod);
|
|
nmod_poly_init(B, mod);
|
|
nmod_poly_init(AB, mod);
|
|
nmod_poly_init(expA, mod);
|
|
nmod_poly_init(expB, mod);
|
|
nmod_poly_init(expAB, mod);
|
|
nmod_poly_init(S, mod);
|
|
|
|
nmod_poly_randtest(A, state, n_randint(state, N));
|
|
nmod_poly_set_coeff_ui(A, 0, UWORD(0));
|
|
nmod_poly_randtest(B, state, n_randint(state, N));
|
|
nmod_poly_set_coeff_ui(B, 0, UWORD(0));
|
|
|
|
/* Randomly generate a monomial */
|
|
if (n_randlimb(state) % 100 == 0)
|
|
{
|
|
nmod_poly_zero(A);
|
|
nmod_poly_set_coeff_ui(A, n_randlimb(state) % (n+5), \
|
|
n_randtest_not_zero(state) % mod);
|
|
nmod_poly_set_coeff_ui(A, 0, UWORD(0));
|
|
}
|
|
|
|
nmod_poly_exp_series(expA, A, n);
|
|
nmod_poly_exp_series(expB, B, n);
|
|
nmod_poly_add(AB, A, B);
|
|
nmod_poly_exp_series(expAB, AB, n);
|
|
nmod_poly_mullow(S, expA, expB, n);
|
|
|
|
result = nmod_poly_equal(S, expAB);
|
|
|
|
if (!result)
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("n = %wd, mod = %wu\n", n, mod);
|
|
flint_printf("A: "); nmod_poly_print(A), flint_printf("\n\n");
|
|
flint_printf("B: "); nmod_poly_print(B), flint_printf("\n\n");
|
|
flint_printf("exp(A): "); nmod_poly_print(expA), flint_printf("\n\n");
|
|
flint_printf("exp(B): "); nmod_poly_print(expB), flint_printf("\n\n");
|
|
flint_printf("exp(A+B): "); nmod_poly_print(expAB), flint_printf("\n\n");
|
|
flint_printf("exp(A)*exp(B): "); nmod_poly_print(S), flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
nmod_poly_clear(A);
|
|
nmod_poly_clear(B);
|
|
nmod_poly_clear(AB);
|
|
nmod_poly_clear(expA);
|
|
nmod_poly_clear(expB);
|
|
nmod_poly_clear(expAB);
|
|
nmod_poly_clear(S);
|
|
}
|
|
|
|
/* Check aliasing */
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
|
{
|
|
nmod_poly_t A, B;
|
|
slong n;
|
|
mp_limb_t mod;
|
|
mod = n_randtest_prime(state, 0);
|
|
n = n_randtest(state) % 50;
|
|
n = FLINT_MIN(n, mod);
|
|
|
|
nmod_poly_init(A, mod);
|
|
nmod_poly_init(B, mod);
|
|
nmod_poly_randtest(A, state, n_randint(state, 50));
|
|
nmod_poly_set_coeff_ui(A, 0, UWORD(0));
|
|
|
|
nmod_poly_exp_series(B, A, n);
|
|
nmod_poly_exp_series(A, A, n);
|
|
|
|
result = nmod_poly_equal(A, B);
|
|
if (!result)
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
nmod_poly_print(A), flint_printf("\n\n");
|
|
nmod_poly_print(B), flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
nmod_poly_clear(A);
|
|
nmod_poly_clear(B);
|
|
}
|
|
|
|
FLINT_TEST_CLEANUP(state);
|
|
|
|
flint_printf("PASS\n");
|
|
return 0;
|
|
}
|