flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2013 William Hart

    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 "mpn_extras.h"

TEST_FUNCTION_START(flint_mpn_divrem_preinvn, state)
{
    int i, result;
    mpz_t a, d, q1, q2, r1, r2;
    gmp_randstate_t st;
    mp_ptr dinv;
    mp_size_t size, size2;
    flint_bitcnt_t norm;

    mpz_init(a);
    mpz_init(d);
    mpz_init(q1);
    mpz_init(r1);
    /* don't init r2, q2 */

    gmp_randinit_default(st);

    /* test flint_mpn_divrem_preinvn */
    for (i = 0; i < 10000 * flint_test_multiplier(); i++)
    {
        int alias = n_randint(state, 2);

        size = n_randint(state, 20) + 1;
        size2 = n_randint(state, 20) + size;

        mpz_rrandomb(a, st, size2 * FLINT_BITS);
        do {
            mpz_rrandomb(d, st, size * FLINT_BITS);
        } while (mpz_sgn(d) == 0);

        /* normalise */
        norm = flint_clz(d->_mp_d[d->_mp_size - 1]);
        mpz_mul_2exp(d, d, norm);
        mpz_mul_2exp(a, a, norm);
        size2 = a->_mp_size;

        /* allocate space */
        q2->_mp_size = size2 - size + 1;
        q2->_mp_d = flint_malloc(q2->_mp_size*sizeof(mp_limb_t));

        r2->_mp_size = size2;
        r2->_mp_d = flint_malloc(r2->_mp_size*sizeof(mp_limb_t));

        /* reduce a mod d */
        mpz_fdiv_qr(q1, r1, a, d);

        dinv = flint_malloc(size*sizeof(mp_limb_t));
        flint_mpn_preinvn(dinv, d->_mp_d, size);

        if (alias)
        {
            q2->_mp_d[q2->_mp_size - 1] = flint_mpn_divrem_preinvn(q2->_mp_d, a->_mp_d, a->_mp_d, size2, d->_mp_d, size, dinv);

            /* normalise */
            while (size && a->_mp_d[size - 1] == 0) size--;
            a->_mp_size = size;
        }
        else
        {
            q2->_mp_d[q2->_mp_size - 1] = flint_mpn_divrem_preinvn(q2->_mp_d, r2->_mp_d, a->_mp_d, size2, d->_mp_d, size, dinv);

            /* normalise */
            while (size && r2->_mp_d[size - 1] == 0) size--;
            r2->_mp_size = size;
        }

        size2 = q2->_mp_size;
        while (size2 && q2->_mp_d[size2 - 1] == 0) size2--;
        q2->_mp_size = size2;

        result = (mpz_cmp(r1, alias ? a : r2) == 0 && mpz_cmp(q1, q2) == 0);
        if (!result)
            TEST_FUNCTION_FAIL(
                    "%{mpz}\n"
                    "%{mpz}\n"
                    "%{mpz}\n"
                    "%{mpz}\n"
                    "%{mpz}\n"
                    "%{mpz}\n"
                    "size = %wd\n"
                    "size2 = %wd\n",
                    a, d, r1, r2, q1, q2, size, size2);

        flint_free(dinv);
        flint_free(q2->_mp_d);
        flint_free(r2->_mp_d);
    }

    mpz_clear(a);
    mpz_clear(d);
    mpz_clear(q1);
    mpz_clear(r1);
    /* don't clear r2, q2 */
    gmp_randclear(st);

    TEST_FUNCTION_END(state);
}