arb/acb_hypgeom/test/t-erfc.c

/*=============================================================================

    This file is part of ARB.

    ARB is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    ARB is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with ARB; if not, write to the Free Software
    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

=============================================================================*/
/******************************************************************************

    Copyright (C) 2014 Fredrik Johansson

******************************************************************************/

#include "acb_hypgeom.h"

int main()
{
    slong iter;
    flint_rand_t state;

    flint_printf("erfc....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        acb_t a, b, c;
        slong prec1, prec2, prec3, prec4;

        prec1 = 2 + n_randint(state, 1000);
        prec2 = 2 + n_randint(state, 1000);
        prec3 = 2 + n_randint(state, 1000);
        prec4 = 2 + n_randint(state, 1000);

        acb_init(a);
        acb_init(b);
        acb_init(c);

        acb_randtest_special(a, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100));
        acb_randtest_special(b, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100));
        acb_randtest_special(c, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 100));

        switch (n_randint(state, 4))
        {
            case 0:
                acb_hypgeom_erf_asymp(b, a, 1, prec1, prec3);
                break;
            case 1:
                acb_hypgeom_erf(b, a, prec1);
                acb_sub_ui(b, b, 1, prec1);
                acb_neg(b, b);
                break;
            default:
                acb_hypgeom_erfc(b, a, prec1);
        }

        switch (n_randint(state, 4))
        {
            case 0:
                acb_hypgeom_erf_asymp(c, a, 1, prec2, prec4);
                break;
            case 1:
                acb_hypgeom_erf(c, a, prec2);
                acb_sub_ui(c, c, 1, prec2);
                acb_neg(c, c);
                break;
            default:
                acb_hypgeom_erfc(c, a, prec2);
        }

        if (!acb_overlaps(b, c))
        {
            flint_printf("FAIL: overlap\n\n");
            flint_printf("a = "); acb_printd(a, 30); flint_printf("\n\n");
            flint_printf("b = "); acb_printd(b, 30); flint_printf("\n\n");
            flint_printf("c = "); acb_printd(c, 30); flint_printf("\n\n");
            abort();
        }

        acb_clear(a);
        acb_clear(b);
        acb_clear(c);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}