mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
126 lines
4 KiB
C
126 lines
4 KiB
C
/*=============================================================================
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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
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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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ARB 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 ARB; 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) 2015 Fredrik Johansson
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******************************************************************************/
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#include "acb_hypgeom.h"
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int main()
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{
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slong iter;
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flint_rand_t state;
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flint_printf("legendre_p....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 2000; iter++)
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{
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acb_t n, na, nb, m, z, res1, res2, res3, t, u;
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slong prec1, prec2, ebits;
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int type;
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acb_init(n);
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acb_init(na);
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acb_init(nb);
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acb_init(m);
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acb_init(z);
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acb_init(res1);
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acb_init(res2);
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acb_init(res3);
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acb_init(t);
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acb_init(u);
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prec1 = 2 + n_randint(state, 300);
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prec2 = 2 + n_randint(state, 300);
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ebits = 1 + n_randint(state, 10);
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if (n_randint(state, 2))
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{
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acb_set_si(m, n_randint(state, 20) - 10);
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acb_set_si(n, n_randint(state, 20) - 10);
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}
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else
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{
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acb_randtest_param(n, state, 1 + n_randint(state, 400), ebits);
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acb_randtest_param(m, state, 1 + n_randint(state, 400), ebits);
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}
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acb_randtest_param(z, state, 1 + n_randint(state, 400), ebits);
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acb_sub_ui(na, n, 1, prec2);
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acb_add_ui(nb, n, 1, prec2);
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type = n_randint(state, 2);
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acb_hypgeom_legendre_p(res1, n, m, z, type, prec1);
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acb_hypgeom_legendre_p(res2, na, m, z, type, prec2);
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acb_hypgeom_legendre_p(res3, nb, m, z, type, prec2);
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acb_add(t, n, m, prec2);
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acb_mul(t, t, res2, prec2);
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acb_sub(u, n, m, prec2);
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acb_add_ui(u, u, 1, prec2);
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acb_mul(u, u, res3, prec2);
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acb_add(t, t, u, prec2);
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acb_mul_2exp_si(u, n, 1);
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acb_add_ui(u, u, 1, prec2);
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acb_mul(u, u, z, prec2);
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acb_mul(u, u, res1, prec2);
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if (!acb_overlaps(t, u))
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{
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flint_printf("FAIL: consistency\n\n");
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flint_printf("iter = %wd, prec1 = %wd, prec2 = %wd\n\n", iter, prec1, prec2);
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flint_printf("type = %d\n\n", type);
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flint_printf("n = "); acb_printd(n, 30); flint_printf("\n\n");
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flint_printf("m = "); acb_printd(m, 30); flint_printf("\n\n");
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flint_printf("z = "); acb_printd(z, 30); flint_printf("\n\n");
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flint_printf("res1 = "); acb_printd(res1, 30); flint_printf("\n\n");
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flint_printf("res2 = "); acb_printd(res2, 30); flint_printf("\n\n");
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flint_printf("res3 = "); acb_printd(res3, 30); flint_printf("\n\n");
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flint_printf("t = "); acb_printd(t, 30); flint_printf("\n\n");
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flint_printf("u = "); acb_printd(u, 30); flint_printf("\n\n");
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abort();
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}
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acb_clear(n);
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acb_clear(na);
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acb_clear(nb);
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acb_clear(m);
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acb_clear(z);
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acb_clear(res1);
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acb_clear(res2);
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acb_clear(res3);
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acb_clear(t);
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acb_clear(u);
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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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