mirror of
https://github.com/vale981/arb
synced 2025-03-04 17:01:40 -05:00
101 lines
3.1 KiB
C
101 lines
3.1 KiB
C
/*
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Copyright (C) 2019 D.H.J. Polymath
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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("hardy_z_zeros....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 20 * arb_test_multiplier(); iter++)
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{
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arb_t x1, x2, v1, v2;
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acb_t t;
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fmpz_t n, k;
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slong prec1, prec2;
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slong len, i;
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const slong maxlen = 5;
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arb_ptr p;
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arb_init(x1);
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arb_init(x2);
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arb_init(v1);
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arb_init(v2);
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acb_init(t);
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fmpz_init(n);
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fmpz_init(k);
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p = _arb_vec_init(maxlen);
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fmpz_randtest_unsigned(n, state, 20);
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fmpz_add_ui(n, n, 1);
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prec1 = 2 + n_randtest(state) % 50;
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prec2 = 2 + n_randtest(state) % 200;
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len = 1 + n_randint(state, maxlen);
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i = n_randint(state, len);
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acb_dirichlet_hardy_z_zeros(p, n, len, prec1);
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arb_set(x1, p + i);
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fmpz_add_si(k, n, i);
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acb_dirichlet_hardy_z_zero(x2, k, prec2);
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acb_set_arb(t, x1);
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acb_dirichlet_hardy_z(t, t, NULL, NULL, 1, prec1 + 20);
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arb_set(v1, acb_realref(t));
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acb_set_arb(t, x2);
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acb_dirichlet_hardy_z(t, t, NULL, NULL, 1, prec2 + 20);
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arb_set(v2, acb_realref(t));
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if (!arb_overlaps(x1, x2) || !arb_contains_zero(v1) || !arb_contains_zero(v2))
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{
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flint_printf("FAIL: overlap\n\n");
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flint_printf("n = "); fmpz_print(n);
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flint_printf(" prec1 = %wd prec2 = %wd\n\n", prec1, prec2);
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flint_printf("x1 = "); arb_printn(x1, 100, 0); flint_printf("\n\n");
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flint_printf("x2 = "); arb_printn(x2, 100, 0); flint_printf("\n\n");
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flint_printf("v1 = "); arb_printn(v1, 100, 0); flint_printf("\n\n");
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flint_printf("v2 = "); arb_printn(v2, 100, 0); flint_printf("\n\n");
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flint_abort();
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}
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if (arb_rel_accuracy_bits(x1) < prec1 - 3 || arb_rel_accuracy_bits(x2) < prec2 - 3)
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{
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flint_printf("FAIL: accuracy\n\n");
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flint_printf("n = "); fmpz_print(n);
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flint_printf(" prec1 = %wd prec2 = %wd\n\n", prec1, prec2);
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flint_printf("acc(x1) = %wd, acc(x2) = %wd\n\n", arb_rel_accuracy_bits(x1), arb_rel_accuracy_bits(x2));
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flint_printf("x1 = "); arb_printn(x1, 100, 0); flint_printf("\n\n");
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flint_printf("x2 = "); arb_printn(x2, 100, 0); flint_printf("\n\n");
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flint_abort();
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}
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arb_clear(x1);
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arb_clear(x2);
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arb_clear(v1);
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arb_clear(v2);
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acb_clear(t);
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fmpz_clear(n);
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fmpz_clear(k);
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_arb_vec_clear(p, maxlen);
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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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