121 lines
3.1 KiB
C
121 lines
3.1 KiB
C
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/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Fredrik Johansson
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include <mpfr.h>
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#include "flint.h"
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#include "arith.h"
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#include "fmpz_vec.h"
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#include "ulong_extras.h"
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int main(void)
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{
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fmpz * b1;
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fmpz * b2;
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slong n, k;
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const slong maxn = 400;
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FLINT_TEST_INIT(state);
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flint_printf("bell_number....");
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fflush(stdout);
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b1 = _fmpz_vec_init(maxn);
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/* Consistency test */
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for (n = 0; n < maxn; n++)
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arith_bell_number(b1 + n, n);
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for (n = 0; n < maxn; n++)
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{
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b2 = _fmpz_vec_init(n);
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arith_bell_number_vec(b2, n);
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if (!_fmpz_vec_equal(b1, b2, n))
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{
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flint_printf("FAIL:\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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_fmpz_vec_clear(b2, n);
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}
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/* Compare with B_n = sum of Stirling numbers of 2nd kind */
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for (n = 0; n < 1000; n += (n < 50) ? + 1 : n/4)
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{
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b2 = _fmpz_vec_init(n+1);
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arith_stirling_number_2_vec(b2, n, n+1);
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for (k = 1; k <= n; k++)
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fmpz_add(b2, b2, b2 + k);
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arith_bell_number(b1, n);
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if (!fmpz_equal(b1, b2))
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{
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flint_printf("FAIL:\n");
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flint_printf("n = %wd\n", n);
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fmpz_print(b1);
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flint_printf("\n");
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fmpz_print(b2);
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flint_printf("\n");
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abort();
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}
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/* Also check nmod value */
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{
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nmod_t mod;
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mp_limb_t bb;
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nmod_init(&mod, n_randtest_prime(state, 0));
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bb = arith_bell_number_nmod(n, mod);
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if (fmpz_fdiv_ui(b1, mod.n) != bb)
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{
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flint_printf("FAIL:\n");
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flint_printf("n = %wd\n", n);
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fmpz_print(b1);
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flint_printf("\n");
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flint_printf("should be %wu mod %wu\n", bb, mod.n);
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abort();
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}
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}
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_fmpz_vec_clear(b2, n+1);
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}
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_fmpz_vec_clear(b1, maxn);
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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