mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
6bf072eb59
This will allow us to not loose the julia session on error. See also https://github.com/wbhart/flint2/pull/243
100 lines
2.9 KiB
C
100 lines
2.9 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_dirichlet.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("zeta_bound....");
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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 s, sb, z;
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arb_t x, y;
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slong prec, i;
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mag_t zbound;
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acb_init(s);
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acb_init(sb);
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acb_init(z);
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arb_init(x);
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arb_init(y);
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mag_init(zbound);
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acb_randtest(s, state, 2 + n_randint(state, 100), 4);
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if (n_randint(state, 2))
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arb_set_d(acb_realref(s), -0.5 + n_randint(state, 32) / 16.0);
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mag_zero(arb_radref(acb_realref(s)));
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mag_zero(arb_radref(acb_imagref(s)));
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/* create a larger interval containing s */
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acb_set(sb, s);
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for (i = 0; i < 2; i++)
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{
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arb_randtest(x, state, 2 + n_randint(state, 100), 2);
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arb_add(x, x, acb_realref(s), 2 * MAG_BITS);
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arb_intersection(acb_realref(sb), acb_realref(sb), x, 2 * MAG_BITS);
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arb_randtest(x, state, 2 + n_randint(state, 100), 2);
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arb_add(x, x, acb_imagref(s), 2 * MAG_BITS);
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arb_intersection(acb_imagref(sb), acb_imagref(sb), x, 2 * MAG_BITS);
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}
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acb_dirichlet_zeta_bound(zbound, sb);
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if (!mag_is_inf(zbound))
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{
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for (prec = 64; ; prec *= 2)
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{
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acb_zeta(z, s, prec);
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if (acb_rel_accuracy_bits(z) > MAG_BITS)
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break;
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}
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acb_abs(x, z, 2 * MAG_BITS);
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arb_zero(y);
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arf_set_mag(arb_midref(y), zbound);
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if (!arb_le(x, y))
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{
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flint_printf("FAIL: bound\n\n");
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flint_printf("iter = %wd\n", iter);
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flint_printf("s = "); acb_printn(s, 50, 0); flint_printf("\n\n");
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flint_printf("sb = "); acb_printn(sb, 50, 0); flint_printf("\n\n");
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flint_printf("z = "); acb_printn(z, 50, 0); flint_printf("\n\n");
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flint_printf("zbound = "); mag_printd(zbound, 10); flint_printf("\n\n");
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flint_printf("x = "); arb_printn(x, 50, 0); flint_printf("\n\n");
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flint_printf("y = "); arb_printn(y, 50, 0); flint_printf("\n\n");
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flint_abort();
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}
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}
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acb_clear(s);
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acb_clear(sb);
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acb_clear(z);
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arb_clear(x);
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arb_clear(y);
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mag_clear(zbound);
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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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