mirror of
https://github.com/vale981/arb
synced 2025-03-04 17:01:40 -05:00
129 lines
4 KiB
C
129 lines
4 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("zeta_nzeros....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 130 + 20 * arb_test_multiplier(); iter++)
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{
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arb_t x, y, t;
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arf_t f1, f2;
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fmpz_t n, m, k1, k2;
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acb_t z;
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slong prec1, prec2;
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arb_init(x);
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arb_init(y);
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arb_init(t);
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acb_init(z);
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arf_init(f1);
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arf_init(f2);
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fmpz_init(n);
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fmpz_init(m);
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fmpz_init(k1);
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fmpz_init(k2);
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if (iter < 130)
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{
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fmpz_set_si(n, iter + 1);
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}
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else
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{
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fmpz_randtest_unsigned(n, state, 20);
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fmpz_add_ui(n, n, 131);
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}
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prec1 = 2 + n_randtest(state) % 50;
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prec2 = 2 + n_randtest(state) % 200;
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acb_dirichlet_hardy_z_zero(t, n, prec1);
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acb_dirichlet_zeta_nzeros(x, t, prec2);
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fmpz_sub_ui(m, n, 1);
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if (!arb_contains_fmpz(x, n) || !arb_contains_fmpz(x, m))
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{
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flint_printf("FAIL: zero containment\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("t = "); arb_printn(t, 100, 0); flint_printf("\n\n");
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flint_printf("x = "); arb_printn(x, 100, 0); flint_printf("\n\n");
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flint_abort();
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}
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arb_get_lbound_arf(f1, t, prec1);
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arb_get_ubound_arf(f2, t, prec1);
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_acb_dirichlet_exact_zeta_nzeros(k1, f1);
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_acb_dirichlet_exact_zeta_nzeros(k2, f2);
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if (!(fmpz_cmp(k1, n) < 0 && fmpz_cmp(k2, n) >= 0))
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{
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flint_printf("FAIL: near a zero\n\n");
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flint_printf("n = "); fmpz_print(n); flint_printf("\n\n");
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flint_printf("t = "); arb_printn(t, 100, 0); flint_printf("\n\n");
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flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
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flint_printf("f2 = "); arf_print(f2); flint_printf("\n\n");
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flint_printf("k1 = "); fmpz_print(k1); flint_printf("\n\n");
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flint_printf("k2 = "); fmpz_print(k2); flint_printf("\n\n");
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flint_abort();
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}
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fmpz_sub_ui(m, n, 2);
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acb_dirichlet_gram_point(t, m, NULL, NULL, prec1);
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arb_get_lbound_arf(f1, t, prec1);
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arb_get_ubound_arf(f2, t, prec1);
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arb_set_interval_arf(t, f1, f2, prec1);
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acb_set_arb(z, t);
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acb_dirichlet_hardy_z(z, z, NULL, NULL, 1, prec1);
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if (!acb_contains_zero(z))
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{
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_acb_dirichlet_exact_zeta_nzeros(k1, f1);
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_acb_dirichlet_exact_zeta_nzeros(k2, f2);
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if (!fmpz_equal(k1, k2))
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{
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flint_printf("FAIL: near a gram point\n\n");
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flint_printf("m = "); fmpz_print(m); flint_printf("\n\n");
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flint_printf("t = "); arb_printn(t, 100, 0); flint_printf("\n\n");
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flint_printf("f1 = "); arf_print(f1); flint_printf("\n\n");
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flint_printf("f2 = "); arf_print(f2); flint_printf("\n\n");
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flint_printf("k1 = "); fmpz_print(k1); flint_printf("\n\n");
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flint_printf("k2 = "); fmpz_print(k2); flint_printf("\n\n");
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flint_abort();
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}
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}
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arb_clear(x);
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arb_clear(y);
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arb_clear(t);
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acb_clear(z);
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arf_clear(f1);
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arf_clear(f2);
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fmpz_clear(n);
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fmpz_clear(m);
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fmpz_clear(k1);
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fmpz_clear(k2);
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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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