82 lines
2.2 KiB
C
82 lines
2.2 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 "profiler.h"
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#include "fmpz.h"
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#include "fmpz_vec.h"
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int main()
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{
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fmpz * r;
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fmpz_t s, t;
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slong k, n;
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FLINT_TEST_INIT(state);
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flint_printf("euler_number_vec....");
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fflush(stdout);
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for (n = 2; n <= 3000; n += (n<100) ? 2 : n/3)
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{
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n += n % 2;
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r = _fmpz_vec_init(n + 1);
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fmpz_init(s);
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fmpz_init(t);
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arith_euler_number_vec(r, n + 1);
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/* sum binomial(n,k) E_k = 0 */
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fmpz_set_ui(t, UWORD(1));
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for (k = 0; k <= n; k++)
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{
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fmpz_addmul(s, r + k, t);
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fmpz_mul_ui(t, t, n - k);
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fmpz_divexact_ui(t, t, k + 1);
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}
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if (!fmpz_is_zero(s))
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{
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flint_printf("ERROR: sum over 0,...,n = %wd\n", n);
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_fmpz_vec_print(r, n + 1);
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abort();
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}
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fmpz_clear(s);
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fmpz_clear(t);
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_fmpz_vec_clear(r, n + 1);
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}
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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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