flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2013 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 "acb.h"

TEST_FUNCTION_START(acb_sqrt, state)
{
    slong iter;

    /* check (a^(1/2))^2 = a */
    for (iter = 0; iter < 10000 * 0.1 * flint_test_multiplier(); iter++)
    {
        acb_t a, b, c;
        slong prec;

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

        acb_randtest(a, state, 1 + n_randint(state, 2000), 10);
        acb_randtest(b, state, 1 + n_randint(state, 2000), 10);

        prec = 2 + n_randint(state, 2000);

        acb_sqrt(b, a, prec);
        acb_mul(c, b, b, prec);

        if (!acb_contains(c, a))
        {
            flint_printf("FAIL: containment\n\n");
            flint_printf("a = "); acb_print(a); flint_printf("\n\n");
            flint_printf("b = "); acb_print(b); flint_printf("\n\n");
            flint_printf("c = "); acb_print(c); flint_printf("\n\n");
            flint_abort();
        }

        acb_sqrt(a, a, prec);
        if (!acb_equal(a, b))
        {
            flint_printf("FAIL: aliasing\n\n");
            flint_printf("a = "); acb_print(a); flint_printf("\n\n");
            flint_printf("b = "); acb_print(b); flint_printf("\n\n");
            flint_abort();
        }

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

    TEST_FUNCTION_END(state);
}