mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
98 lines
2.4 KiB
C
98 lines
2.4 KiB
C
/*
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Copyright (C) 2012 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include "bernoulli.h"
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#include "flint/ulong_extras.h"
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#include "flint/nmod_poly.h"
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#include "flint/nmod_vec.h"
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int main()
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{
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flint_rand_t state;
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slong nmax, n, bound, count;
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mp_limb_t p, pinv, m1, m2;
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nmod_poly_t A;
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flint_printf("rev....");
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fflush(stdout);
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flint_randinit(state);
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bound = 100000 * FLINT_MIN(1.0, arb_test_multiplier());
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p = n_nextprime(UWORD(1) << (FLINT_BITS - 1), 0);
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pinv = n_preinvert_limb(p);
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nmod_poly_init(A, p);
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nmod_poly_set_coeff_ui(A, 1, 1);
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nmod_poly_exp_series(A, A, bound);
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nmod_poly_shift_right(A, A, 1);
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nmod_poly_inv_series(A, A, bound);
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m1 = 1;
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for (n = 0; n < A->length; n++)
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{
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A->coeffs[n] = n_mulmod2_preinv(A->coeffs[n], m1, p, pinv);
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m1 = n_mulmod2_preinv(m1, n + 1, p, pinv);
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}
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for (nmax = 0; nmax < bound; nmax = 1.5 * nmax + 2)
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{
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fmpz_t numer, denom;
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bernoulli_rev_t iter;
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fmpz_init(numer);
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fmpz_init(denom);
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nmax += (nmax % 2);
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bernoulli_rev_init(iter, nmax);
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if (nmax < 8000)
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count = 4000;
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else
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count = 100;
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/* flint_printf("nmax = %wd, count = %wd\n", nmax, count); */
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for (n = nmax; n >= 0 && count > 0; n -= 2, count--)
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{
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bernoulli_rev_next(numer, denom, iter);
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m1 = fmpz_fdiv_ui(numer, p);
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m2 = fmpz_fdiv_ui(denom, p);
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m2 = n_invmod(m2, p);
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m1 = n_mulmod2_preinv(m1, m2, p, pinv);
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m2 = nmod_poly_get_coeff_ui(A, n);
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if (m1 != m2)
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{
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flint_printf("FAIL:\n");
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flint_printf("nmax = %wd, n = %wd\n", nmax, n);
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flint_printf("m1 = %wu mod %wu\n", m1, p);
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flint_printf("m2 = %wu mod %wu\n", m2, p);
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abort();
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}
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}
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bernoulli_rev_clear(iter);
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fmpz_clear(numer);
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fmpz_clear(denom);
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}
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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