flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2020 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 "fmpq.h"
#include "qqbar.h"

TEST_FUNCTION_START(qqbar_pow_fmpq, state)
{
    slong iter;

    /* Check x^m x^n = x^(m+n) */
    for (iter = 0; iter < 100 * 0.1 * flint_test_multiplier(); iter++)
    {
        qqbar_t x, xm, xn, xmxn, xmn;
        fmpq_t m, n, mn;

        qqbar_init(x);
        qqbar_init(xm);
        qqbar_init(xn);
        qqbar_init(xmxn);
        qqbar_init(xmn);
        fmpq_init(m);
        fmpq_init(n);
        fmpq_init(mn);

        if (n_randint(state, 2))
        {
            qqbar_root_of_unity(x, n_randint(state, 100), 1 + n_randint(state, 10));

            fmpq_set_si(m, n_randtest(state), 1 + n_randint(state, 5));
            fmpq_set_si(n, n_randtest(state), 1 + n_randint(state, 5));
        }
        else
        {
            do {
                qqbar_randtest(x, state, 4, 10);
                fmpq_randtest(m, state, 3);
                fmpq_randtest(n, state, 3);
            } while (qqbar_is_zero(x) && (fmpq_sgn(m) < 0 || fmpq_sgn(n) < 0));
        }

        fmpq_add(mn, m, n);

        qqbar_pow_fmpq(xm, x, m);
        qqbar_pow_fmpq(xn, x, n);
        qqbar_pow_fmpq(xmn, x, mn);

        qqbar_mul(xmxn, xm, xn);

        if (!qqbar_equal(xmxn, xmn))
        {
            flint_printf("FAIL!\n");
            flint_printf("x = "); qqbar_print(x); flint_printf("\n\n");
            flint_printf("m = "); fmpq_print(m); flint_printf("\n\n");
            flint_printf("n = "); fmpq_print(n); flint_printf("\n\n");
            flint_printf("xm = "); qqbar_print(xm); flint_printf("\n\n");
            flint_printf("xn = "); qqbar_print(xn); flint_printf("\n\n");
            flint_printf("xmxn = "); qqbar_print(xmxn); flint_printf("\n\n");
            flint_printf("xmn = "); qqbar_print(xmn); flint_printf("\n\n");
            flint_abort();
        }

        qqbar_clear(x);
        qqbar_clear(xm);
        qqbar_clear(xn);
        qqbar_clear(xmxn);
        qqbar_clear(xmn);
        fmpq_clear(m);
        fmpq_clear(n);
        fmpq_clear(mn);
    }

    TEST_FUNCTION_END(state);
}