mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
98 lines
2.7 KiB
C
98 lines
2.7 KiB
C
/*
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Copyright (C) 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.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("coth....");
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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 x, y, a, b, c, d;
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slong prec1, prec2;
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prec1 = 2 + n_randint(state, 200);
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prec2 = prec1 + 30;
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acb_init(x);
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acb_init(y);
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acb_init(a);
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acb_init(b);
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acb_init(c);
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acb_init(d);
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acb_randtest(x, state, 1 + n_randint(state, 200), 2 + n_randint(state, 100));
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acb_randtest(y, state, 1 + n_randint(state, 200), 2 + n_randint(state, 100));
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acb_coth(a, x, prec1);
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acb_coth(b, x, prec2);
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/* check consistency */
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if (!acb_overlaps(a, b))
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{
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flint_printf("FAIL: overlap\n\n");
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flint_printf("x = "); acb_print(x); flint_printf("\n\n");
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flint_printf("a = "); acb_print(a); flint_printf("\n\n");
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flint_printf("b = "); acb_print(b); flint_printf("\n\n");
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abort();
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}
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/* check coth(x+y) = (1 + coth(x) coth(y)) / (coth(x) + coth(y)) */
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acb_add(b, x, y, prec1);
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acb_coth(b, b, prec1);
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acb_coth(c, y, prec1);
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acb_add(d, a, c, prec1);
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acb_mul(c, a, c, prec1);
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acb_add_ui(c, c, 1, prec1);
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acb_div(d, c, d, prec1);
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if (!acb_overlaps(b, d))
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{
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flint_printf("FAIL: functional equation\n\n");
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flint_printf("x = "); acb_print(x); flint_printf("\n\n");
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flint_printf("y = "); acb_print(y); flint_printf("\n\n");
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flint_printf("b = "); acb_print(b); flint_printf("\n\n");
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flint_printf("d = "); acb_print(d); flint_printf("\n\n");
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abort();
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}
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acb_coth(x, x, prec1);
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if (!acb_overlaps(a, x))
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{
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flint_printf("FAIL: aliasing\n\n");
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flint_printf("a = "); acb_print(a); flint_printf("\n\n");
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flint_printf("x = "); acb_print(x); flint_printf("\n\n");
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abort();
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}
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acb_clear(x);
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acb_clear(y);
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acb_clear(a);
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acb_clear(b);
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acb_clear(c);
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acb_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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