/* 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("erf...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { arb_t a, b, c; slong prec1, prec2; prec1 = 2 + n_randint(state, 1000); prec2 = 2 + n_randint(state, 1000); arb_init(a); arb_init(b); arb_init(c); arb_randtest_special(a, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(b, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(c, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); switch (n_randint(state, 2)) { case 0: if (!arb_hypgeom_erf_bb(b, a, 0, prec1)) arb_hypgeom_erf(b, a, prec1); break; default: arb_hypgeom_erf(b, a, prec1); break; } switch (n_randint(state, 2)) { case 0: if (!arb_hypgeom_erf_bb(c, a, 0, prec2)) arb_hypgeom_erf(c, a, prec2); break; default: arb_hypgeom_erf(c, a, prec2); break; } if (!arb_overlaps(b, c)) { flint_printf("FAIL: overlap\n\n"); flint_printf("a = "); arb_printd(a, 30); flint_printf("\n\n"); flint_printf("b = "); arb_printd(b, 30); flint_printf("\n\n"); flint_printf("c = "); arb_printd(c, 30); flint_printf("\n\n"); flint_abort(); } arb_clear(a); arb_clear(b); arb_clear(c); } for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { arb_t a, b, c; slong prec1, prec2; prec1 = 2 + n_randint(state, 1000); prec2 = 2 + n_randint(state, 1000); arb_init(a); arb_init(b); arb_init(c); arb_randtest_special(a, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(b, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(c, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); switch (n_randint(state, 2)) { case 0: if (!arb_hypgeom_erf_bb(b, a, 1, prec1)) arb_hypgeom_erfc(b, a, prec1); break; default: arb_hypgeom_erfc(b, a, prec1); break; } switch (n_randint(state, 2)) { case 0: if (!arb_hypgeom_erf_bb(c, a, 1, prec2)) arb_hypgeom_erfc(c, a, prec2); break; default: arb_hypgeom_erfc(c, a, prec2); break; } if (!arb_overlaps(b, c)) { flint_printf("FAIL: overlap\n\n"); flint_printf("a = "); arb_printd(a, 30); flint_printf("\n\n"); flint_printf("b = "); arb_printd(b, 30); flint_printf("\n\n"); flint_printf("c = "); arb_printd(c, 30); flint_printf("\n\n"); flint_abort(); } arb_clear(a); arb_clear(b); arb_clear(c); } #if 0 for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { arb_t a, b, c; slong prec1; prec1 = 2 + n_randint(state, 5000); arb_init(a); arb_init(b); arb_init(c); arb_randtest_special(a, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(b, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(c, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_hypgeom_erfc(b, a, prec1 + 100); arb_set_round(b, b, prec1); arb_div_ui(b, b, 3, prec1); arb_mul_ui(b, b, 3, prec1); if (n_randint(state, 2)) { if (!arb_hypgeom_erf_bb(c, a, 1, prec1)) arb_hypgeom_erfc(c, a, prec1); } else arb_hypgeom_erfc(c, a, prec1); if (arb_is_finite(b) && (arb_rel_accuracy_bits(c) < arb_rel_accuracy_bits(b) - 4.0)) { flint_printf("ACCURACY (erfc)\n\n"); flint_printf("prec = %wd\n\n", prec1); flint_printf("a = "); arb_printd(a, 200); flint_printf("\n"); flint_printf("b = "); arb_printd(b, 200); flint_printf("\n"); flint_printf("c = "); arb_printd(c, 200); flint_printf("\n\n"); } arb_clear(a); arb_clear(b); arb_clear(c); } #endif #if 0 for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { arb_t a, b, c; slong prec1; prec1 = 2 + n_randint(state, 5000); arb_init(a); arb_init(b); arb_init(c); arb_randtest_special(a, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(b, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_randtest_special(c, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100)); arb_hypgeom_erf(b, a, prec1 + 100); arb_set_round(b, b, prec1); arb_div_ui(b, b, 3, prec1); arb_mul_ui(b, b, 3, prec1); if (n_randint(state, 2)) { if (!arb_hypgeom_erf_bb(c, a, 0, prec1)) arb_hypgeom_erf(c, a, prec1); } else arb_hypgeom_erf(c, a, prec1); if (arb_is_finite(b) && (arb_rel_accuracy_bits(c) < arb_rel_accuracy_bits(b) - 4.0)) { flint_printf("ACCURACY (erf)\n\n"); flint_printf("prec = %wd\n\n", prec1); flint_printf("a = "); arb_printd(a, 200); flint_printf("\n"); flint_printf("b = "); arb_printd(b, 200); flint_printf("\n"); flint_printf("c = "); arb_printd(c, 200); flint_printf("\n\n"); } arb_clear(a); arb_clear(b); arb_clear(c); } #endif flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }