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/*
Copyright (C) 2011 Fredrik Johansson
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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "test_helpers.h"
#include "fmpz.h"
#include "fmpz_vec.h"
#include "arith.h"
TEST_FUNCTION_START(arith_euler_number_vec, state)
{
fmpz * r;
fmpz_t s, t;
slong k, n;
for (n = 2; n <= 3000; n += (n<100) ? 2 : n/3)
{
n += n % 2;
r = _fmpz_vec_init(n + 1);
fmpz_init(s);
fmpz_init(t);
arith_euler_number_vec(r, n + 1);
/* sum binomial(n,k) E_k = 0 */
fmpz_set_ui(t, UWORD(1));
for (k = 0; k <= n; k++)
{
fmpz_addmul(s, r + k, t);
fmpz_mul_ui(t, t, n - k);
fmpz_divexact_ui(t, t, k + 1);
}
if (!fmpz_is_zero(s))
{
flint_printf("ERROR: sum over 0,...,n = %wd\n", n);
_fmpz_vec_print(r, n + 1);
fflush(stdout);
flint_abort();
}
fmpz_clear(s);
fmpz_clear(t);
_fmpz_vec_clear(r, n + 1);
}
TEST_FUNCTION_END(state);
}