/* 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("hardy_z_zero...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 20 * arb_test_multiplier(); iter++) { arb_t x1, x2, v1, v2; acb_t t; fmpz_t n; slong prec1, prec2; arb_init(x1); arb_init(x2); arb_init(v1); arb_init(v2); acb_init(t); fmpz_init(n); fmpz_randtest_unsigned(n, state, 20); fmpz_add_ui(n, n, 1); prec1 = 2 + n_randtest(state) % 50; prec2 = 2 + n_randtest(state) % 200; acb_dirichlet_hardy_z_zero(x1, n, prec1); acb_dirichlet_hardy_z_zero(x2, n, prec2); acb_set_arb(t, x1); acb_dirichlet_hardy_z(t, t, NULL, NULL, 1, prec1 + 20); arb_set(v1, acb_realref(t)); acb_set_arb(t, x2); acb_dirichlet_hardy_z(t, t, NULL, NULL, 1, prec2 + 20); arb_set(v2, acb_realref(t)); if (!arb_overlaps(x1, x2) || !arb_contains_zero(v1) || !arb_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("x1 = "); arb_printn(x1, 100, 0); flint_printf("\n\n"); flint_printf("x2 = "); arb_printn(x2, 100, 0); flint_printf("\n\n"); flint_printf("v1 = "); arb_printn(v1, 100, 0); flint_printf("\n\n"); flint_printf("v2 = "); arb_printn(v2, 100, 0); flint_printf("\n\n"); flint_abort(); } if (arb_rel_accuracy_bits(x1) < prec1 - 3 || arb_rel_accuracy_bits(x2) < 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(x1) = %wd, acc(x2) = %wd\n\n", arb_rel_accuracy_bits(x1), arb_rel_accuracy_bits(x2)); flint_printf("x1 = "); arb_printn(x1, 100, 0); flint_printf("\n\n"); flint_printf("x2 = "); arb_printn(x2, 100, 0); flint_printf("\n\n"); flint_abort(); } arb_clear(x1); arb_clear(x2); arb_clear(v1); arb_clear(v2); acb_clear(t); fmpz_clear(n); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }