flint-sys 0.9.0

/*
    Copyright (C) 2009, 2011 William Hart
    Copyright (C) 2010 Sebastian Pancratz

    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 "ulong_extras.h"
#include "fmpz.h"

TEST_FUNCTION_START(fmpz_root, state)
{
    int i, result, exact;

    /* Comparison with mpz routines */
    for (i = 0; i < 10000 * flint_test_multiplier(); i++)
    {
        fmpz_t f, g;
        mpz_t mf, mf2, mg;
        slong n;

        fmpz_init(f);
        fmpz_init(g);

        mpz_init(mf);
        mpz_init(mf2);
        mpz_init(mg);

        n = n_randint(state, 20) + 1;

        fmpz_randtest(g, state, 200);
        if ((n & 1) == 0)
            fmpz_abs(g, g);
        fmpz_get_mpz(mg, g);

        if (n_randint(state, 2))
        {
            fmpz_root(f, g, n);
        }
        else /* test aliasing */
        {
            fmpz_set(f, g);
            fmpz_root(f, f, n);
        }

        mpz_root(mf, mg, n);

        fmpz_get_mpz(mf2, f);

        result = (mpz_cmp(mf2, mf) == 0) && _fmpz_is_canonical(f);
        if (!result)
        {
            flint_printf("FAIL:\n");
            gmp_printf("mf = %Zd, mf2 = %Zd, mg = %Zd, root = %Md\n", mf, mf2, mg, n);
            fflush(stdout);
            flint_abort();
        }

        fmpz_clear(f);
        fmpz_clear(g);

        mpz_clear(mf);
        mpz_clear(mf2);
        mpz_clear(mg);
    }

    /* Exact powers */
    for (i = 0; i < 10000 * flint_test_multiplier(); i++)
    {
        fmpz_t f, g, pow;
        slong n;

        fmpz_init(f);
        fmpz_init(g);
        fmpz_init(pow);

        n = n_randint(state, 20) + 1;

        fmpz_randtest(g, state, 200);
        if ((n & 1) == 0)
            fmpz_abs(g, g);

        fmpz_pow_ui(pow, g, n);

        exact = fmpz_root(f, pow, n);

        result = (exact && fmpz_equal(f, g));
        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("g = "); fmpz_print(g); flint_printf("\n");
            flint_printf("f = "); fmpz_print(f); flint_printf("\n");
            flint_printf("exact = %d, n = %wu\n", exact, n);
            fflush(stdout);
            flint_abort();
        }

        fmpz_clear(f);
        fmpz_clear(g);
        fmpz_clear(pow);
    }

    /* Not exact powers */
    for (i = 0; i < 10000 * flint_test_multiplier(); i++)
    {
        fmpz_t f, g, pow;
        slong n;

        fmpz_init(f);
        fmpz_init(g);
        fmpz_init(pow);

        n = n_randint(state, 20) + 2;

        while (fmpz_cmp_ui(g, 2) < 0)
            fmpz_randtest_unsigned(g, state, 200);

        while (fmpz_is_zero(f))
            fmpz_randm(f, state, g);

        fmpz_pow_ui(pow, g, n);
        fmpz_add(pow, pow, f);

        if ((n & 1) != 0 && n_randint(state, 2) == 0)
        {
            fmpz_neg(g, g);
            fmpz_neg(pow, pow);
        }

        exact = fmpz_root(f, pow, n);

        result = (!exact && fmpz_equal(f, g));
        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("g = "); fmpz_print(g); flint_printf("\n");
            flint_printf("f = "); fmpz_print(f); flint_printf("\n");
            flint_printf("exact = %d, n = %wu\n", exact, n);
            fflush(stdout);
            flint_abort();
        }

        fmpz_clear(f);
        fmpz_clear(g);
        fmpz_clear(pow);
    }

    TEST_FUNCTION_END(state);
}