mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
132 lines
3.7 KiB
C
132 lines
3.7 KiB
C
/*
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Copyright (C) 2012, 2013 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_poly.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("lgamma_series....");
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fflush(stdout);
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flint_randinit(state);
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/* special accuracy test case */
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{
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acb_poly_t a;
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acb_t c;
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acb_init(c);
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acb_poly_init(a);
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arb_set_str(acb_realref(c), "-20.25", 53);
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arb_set_str(acb_imagref(c), "1e1000", 53);
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acb_poly_set_coeff_acb(a, 0, c);
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acb_poly_set_coeff_si(a, 1, 1);
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acb_poly_lgamma_series(a, a, 3, 53);
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if (acb_rel_accuracy_bits(a->coeffs) < 40 ||
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acb_rel_accuracy_bits(a->coeffs + 1) < 40 ||
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acb_rel_accuracy_bits(a->coeffs + 2) < 40)
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{
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flint_printf("FAIL: accuracy (reflection formula)\n\n");
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acb_poly_printd(a, 15); flint_printf("\n\n");
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abort();
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}
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acb_poly_clear(a);
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acb_clear(c);
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}
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for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
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{
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slong m, n1, n2, rbits1, rbits2, rbits3;
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acb_poly_t a, b, c, d;
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rbits1 = 2 + n_randint(state, 200);
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rbits2 = 2 + n_randint(state, 200);
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rbits3 = 2 + n_randint(state, 200);
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m = 1 + n_randint(state, 30);
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n1 = 1 + n_randint(state, 30);
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n2 = 1 + n_randint(state, 30);
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acb_poly_init(a);
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acb_poly_init(b);
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acb_poly_init(c);
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acb_poly_init(d);
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acb_poly_randtest(a, state, m, rbits1, 10);
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acb_poly_randtest(b, state, m, rbits1, 10);
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acb_poly_randtest(c, state, m, rbits1, 10);
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acb_poly_lgamma_series(b, a, n1, rbits2);
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acb_poly_lgamma_series(c, a, n2, rbits3);
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acb_poly_set(d, b);
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acb_poly_truncate(d, FLINT_MIN(n1, n2));
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acb_poly_truncate(c, FLINT_MIN(n1, n2));
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if (!acb_poly_overlaps(c, d))
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{
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flint_printf("FAIL\n\n");
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flint_printf("n1 = %wd, n2 = %wd, bits2 = %wd, bits3 = %wd\n", n1, n2, rbits2, rbits3);
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flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
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flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
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flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
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abort();
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}
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/* check loggamma(a) + log(a) = loggamma(a+1) */
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acb_poly_log_series(c, a, n1, rbits2);
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acb_poly_add(c, b, c, rbits2);
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acb_poly_set(d, a);
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acb_add_ui(d->coeffs, d->coeffs, 1, rbits2);
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acb_poly_lgamma_series(d, d, n1, rbits2);
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if (!acb_poly_overlaps(c, d))
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{
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flint_printf("FAIL (functional equation)\n\n");
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flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
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flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
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flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
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flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
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abort();
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}
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acb_poly_lgamma_series(a, a, n1, rbits2);
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if (!acb_poly_overlaps(a, b))
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{
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flint_printf("FAIL (aliasing)\n\n");
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abort();
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}
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acb_poly_clear(a);
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acb_poly_clear(b);
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acb_poly_clear(c);
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acb_poly_clear(d);
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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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