/* Copyright (C) 2019 D.H.J. Polymath This file is part of Arb. Arb is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License (LGPL) as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. See . */ #include "acb_dirichlet.h" int main() { slong iter; flint_rand_t state; flint_printf("zeta_zero...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 200 * arb_test_multiplier(); iter++) { acb_t v1, v2, z1, z2; fmpz_t n, m; slong prec1, prec2; acb_init(v1); acb_init(v2); acb_init(z1); acb_init(z2); fmpz_init(n); fmpz_init(m); fmpz_randtest_unsigned(n, state, 20); fmpz_add_ui(n, n, 1); if (n_randint(state, 10) != 0) { prec1 = 2 + n_randtest(state) % 50; prec2 = 2 + n_randtest(state) % 200; } else { prec1 = 2 + n_randtest(state) % 200; prec2 = 2 + n_randtest(state) % 600; } acb_dirichlet_zeta_zero(z1, n, prec1); acb_dirichlet_zeta_zero(z2, n, prec2); acb_dirichlet_zeta(v1, z1, prec1 + 20); acb_dirichlet_zeta(v2, z2, prec2 + 20); if (!acb_overlaps(z1, z2) || !acb_contains_zero(v1) || !acb_contains_zero(v2)) { flint_printf("FAIL: overlap\n\n"); flint_printf("n = "); fmpz_print(n); flint_printf(" prec1 = %wd prec2 = %wd\n\n", prec1, prec2); flint_printf("z1 = "); acb_printn(z1, 100, 0); flint_printf("\n\n"); flint_printf("z2 = "); acb_printn(z2, 100, 0); flint_printf("\n\n"); flint_printf("v1 = "); acb_printn(v1, 100, 0); flint_printf("\n\n"); flint_printf("v2 = "); acb_printn(v2, 100, 0); flint_printf("\n\n"); flint_abort(); } if (acb_rel_accuracy_bits(z1) < prec1 - 3 || acb_rel_accuracy_bits(z2) < prec2 - 3) { flint_printf("FAIL: accuracy\n\n"); flint_printf("n = "); fmpz_print(n); flint_printf(" prec1 = %wd prec2 = %wd\n\n", prec1, prec2); flint_printf("acc(z1) = %wd, acc(z2) = %wd\n\n", acb_rel_accuracy_bits(z1), acb_rel_accuracy_bits(z2)); flint_printf("z1 = "); acb_printn(z1, 100, 0); flint_printf("\n\n"); flint_printf("z2 = "); acb_printn(z2, 100, 0); flint_printf("\n\n"); flint_abort(); } acb_clear(z1); acb_clear(z2); acb_clear(v1); acb_clear(v2); fmpz_clear(n); fmpz_clear(m); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }