mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
130 lines
3.9 KiB
C
130 lines
3.9 KiB
C
/*
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Copyright (C) 2016 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 "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("beta_lower....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
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{
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acb_t a, a1, b, b1, z, w, wa1, wb1, t, u;
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slong prec;
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int regularized;
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acb_init(a);
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acb_init(a1);
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acb_init(b);
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acb_init(b1);
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acb_init(z);
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acb_init(w);
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acb_init(wa1);
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acb_init(wb1);
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acb_init(t);
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acb_init(u);
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regularized = n_randint(state, 2);
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prec = 2 + n_randint(state, 100);
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acb_randtest_param(a, state, 1 + n_randint(state, 100), 1 + n_randint(state, 10));
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acb_randtest_param(b, state, 1 + n_randint(state, 100), 1 + n_randint(state, 10));
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acb_randtest_param(z, state, 1 + n_randint(state, 100), 1 + n_randint(state, 10));
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acb_add_ui(a1, a, 1, prec);
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acb_add_ui(b1, b, 1, prec);
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acb_hypgeom_beta_lower(w, a, b, z, regularized, prec);
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acb_hypgeom_beta_lower(wa1, a1, b, z, regularized, prec);
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acb_hypgeom_beta_lower(wb1, a, b1, z, regularized, prec);
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if (regularized)
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{
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acb_mul(t, wa1, a, prec);
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acb_addmul(t, wb1, b, prec);
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acb_add(u, a, b, prec);
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acb_div(t, t, u, prec);
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}
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else
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{
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acb_add(t, wa1, wb1, prec);
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}
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if (!acb_overlaps(w, t))
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{
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flint_printf("FAIL: contiguous relation\n\n");
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flint_printf("regularized = %d\n\n", regularized);
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flint_printf("a = "); acb_printd(a, 30); flint_printf("\n\n");
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flint_printf("b = "); acb_printd(b, 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("w = "); acb_printd(w, 30); flint_printf("\n\n");
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flint_printf("wa1 = "); acb_printd(wa1, 30); flint_printf("\n\n");
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flint_printf("wb1 = "); acb_printd(wb1, 30); flint_printf("\n\n");
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flint_printf("t = "); acb_printd(t, 30); flint_printf("\n\n");
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abort();
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}
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/* test I(a,b;z) = 1-I(b,a,1-z) */
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if (!regularized)
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{
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acb_add(t, a, b, prec);
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acb_gamma(t, t, prec);
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acb_mul(w, w, t, prec);
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acb_rgamma(t, a, prec);
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acb_mul(w, w, t, prec);
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acb_rgamma(t, b, prec);
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acb_mul(w, w, t, prec);
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}
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acb_sub_ui(t, z, 1, prec);
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acb_neg(t, t);
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acb_hypgeom_beta_lower(t, b, a, t, 1, prec);
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acb_sub_ui(t, t, 1, prec);
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acb_neg(t, t);
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if (!acb_overlaps(w, t))
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{
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flint_printf("FAIL: symmetry\n\n");
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flint_printf("regularized = %d\n\n", regularized);
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flint_printf("a = "); acb_printd(a, 30); flint_printf("\n\n");
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flint_printf("b = "); acb_printd(b, 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("w = "); acb_printd(w, 30); flint_printf("\n\n");
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flint_printf("t = "); acb_printd(t, 30); flint_printf("\n\n");
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abort();
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}
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acb_clear(a);
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acb_clear(a1);
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acb_clear(b);
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acb_clear(b1);
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acb_clear(z);
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acb_clear(w);
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acb_clear(wa1);
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acb_clear(wb1);
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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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