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/*
Copyright (C) 2021 Fredrik Johansson
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "test_helpers.h"
#include "arb_hypgeom.h"
TEST_FUNCTION_START(arb_hypgeom_erf, state)
{
slong iter;
for (iter = 0; iter < 10000 * 0.1 * flint_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 * 0.1 * flint_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 * 0.1 * flint_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 * 0.1 * flint_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
TEST_FUNCTION_END(state);
}