/* Copyright (C) 2021 Fredrik Johansson 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 "arb_hypgeom.h" int main() { slong iter; flint_rand_t state; flint_printf("gamma_upper_integration...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100 * arb_test_multiplier(); iter++) { arb_t a, z, r1, r2; slong prec1, prec2; int regularized; prec1 = 2 + n_randint(state, 80); prec2 = 2 + n_randint(state, 150); arb_init(a); arb_init(z); arb_init(r1); arb_init(r2); regularized = n_randint(state, 3); arb_randtest_precise(a, state, 1 + n_randint(state, 200), 1 + n_randint(state, 8)); arb_randtest_precise(z, state, 1 + n_randint(state, 200), 1 + n_randint(state, 8)); arb_randtest(r1, state, 1 + n_randint(state, 200), 1 + n_randint(state, 5)); arb_randtest(r2, state, 1 + n_randint(state, 200), 1 + n_randint(state, 5)); arb_add_ui(a, a, n_randint(state, 100), prec1 + 100); arb_add_ui(z, z, n_randint(state, 100), prec1 + 100); arb_hypgeom_gamma_upper_integration(r1, a, z, regularized, prec1); if (arb_is_finite(r1)) { if (n_randint(state, 2)) arb_hypgeom_gamma_upper_integration(r2, a, z, regularized, prec2); else arb_hypgeom_gamma_upper(r2, a, z, regularized, prec2); if (!arb_overlaps(r1, r2)) { flint_printf("FAIL: overlap\n\n"); flint_printf("a = "); arb_printd(a, 30); flint_printf("\n\n"); flint_printf("z = "); arb_printd(z, 30); flint_printf("\n\n"); flint_printf("r1 = "); arb_printd(r1, 30); flint_printf("\n\n"); flint_printf("r2 = "); arb_printd(r2, 30); flint_printf("\n\n"); flint_abort(); } } if (iter == 0) { prec1 = 333; arb_set_str(a, "5.25", prec1); arb_set_str(z, "1.125", prec1); arb_hypgeom_gamma_upper_integration(r1, a, z, 0, prec1); arb_set_str(r2, "35.072486673952527119466762267780775062420879980812938235868074922070540736636294202721367124421387 +/- 5.01e-97", prec1); if (!arb_overlaps(r1, r2) || arb_rel_accuracy_bits(r1) < arb_rel_accuracy_bits(r2) - 10) { flint_printf("FAIL: overlap (1)\n\n"); flint_printf("r1 = "); arb_printd(r1, 100); flint_printf("\n\n"); flint_printf("r2 = "); arb_printd(r2, 100); flint_printf("\n\n"); flint_abort(); } arb_set_str(a, "-23515.25", prec1); arb_set_str(z, "5118.125", prec1); arb_hypgeom_gamma_upper_integration(r1, a, z, 0, prec1); arb_set_str(r2, "1.2585189324946269645868452847608400602717904014578585865177198314407671242201776909963228597279e-89448 +/- 8.86e-89543", prec1); if (!arb_overlaps(r1, r2) || arb_rel_accuracy_bits(r1) < arb_rel_accuracy_bits(r2) - 10) { flint_printf("FAIL: overlap (1)\n\n"); flint_printf("r1 = "); arb_printd(r1, 100); flint_printf("\n\n"); flint_printf("r2 = "); arb_printd(r2, 100); flint_printf("\n\n"); flint_abort(); } } arb_clear(a); arb_clear(z); arb_clear(r1); arb_clear(r2); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }