flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2013 Mike Hansen

    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 "nmod_poly.h"

TEST_FUNCTION_START(nmod_poly_gcdinv, state)
{
    int i, result;

    /* Generic case, most likely co-prime arguments ******************************/

    /* Compare with result from XGCD */
    for (i = 0; i < 1000; i++)
    {
        ulong p;
        nmod_poly_t a, b, d, g, s, t, u;

        p = n_randtest_prime(state, 0);

        nmod_poly_init(a, p);
        nmod_poly_init(b, p);
        nmod_poly_init(d, p);
        nmod_poly_init(g, p);
        nmod_poly_init(s, p);
        nmod_poly_init(t, p);
        nmod_poly_init(u, p);

        nmod_poly_randtest(a, state, n_randint(state, 100));
        do
            nmod_poly_randtest(b, state, n_randint(state, 100));
        while (b->length < 2);

        nmod_poly_gcdinv(d, u, a, b);
        nmod_poly_xgcd(g, s, t, a, b);

        result = ((nmod_poly_equal(d, g) && nmod_poly_equal(u, s))
                  || (nmod_poly_is_zero(d)));
        if (!result)
        {
            printf("FAIL:\n");
            printf("a = "), nmod_poly_print(a), printf("\n\n");
            printf("b = "), nmod_poly_print(b), printf("\n\n");
            printf("d = "), nmod_poly_print(d), printf("\n\n");
            printf("g = "), nmod_poly_print(g), printf("\n\n");
            printf("s = "), nmod_poly_print(s), printf("\n\n");
            printf("t = "), nmod_poly_print(t), printf("\n\n");
            printf("u = "), nmod_poly_print(u), printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        nmod_poly_clear(a);
        nmod_poly_clear(b);
        nmod_poly_clear(d);
        nmod_poly_clear(g);
        nmod_poly_clear(s);
        nmod_poly_clear(t);
        nmod_poly_clear(u);
   }

    /* Special case, arguments share a factor ********************************/

    /* Compare with result from XGCD */
    for (i = 0; i < 1000; i++)
    {
        ulong p;
        nmod_poly_t a, b, d, f, g, s, t, u;

        p = n_randtest_prime(state, 0);

        nmod_poly_init(a, p);
        nmod_poly_init(b, p);
        nmod_poly_init(d, p);
        nmod_poly_init(f, p);
        nmod_poly_init(g, p);
        nmod_poly_init(s, p);
        nmod_poly_init(t, p);
        nmod_poly_init(u, p);

        nmod_poly_randtest(a, state, n_randint(state, 100));
        do
            nmod_poly_randtest(b, state, n_randint(state, 100));
        while (b->length < 2);
        nmod_poly_randtest_not_zero(f, state, n_randint(state, 20) + 1);
        nmod_poly_mul(a, f, a);
        nmod_poly_mul(b, f, b);

        nmod_poly_gcdinv(d, u, a, b);
        nmod_poly_xgcd(g, s, t, a, b);

        result = ((nmod_poly_equal(d, g) && nmod_poly_equal(u, s))
                  || (nmod_poly_is_zero(d)));
        if (!result)
        {
            printf("FAIL:\n");
            printf("a = "), nmod_poly_print(a), printf("\n\n");
            printf("b = "), nmod_poly_print(b), printf("\n\n");
            printf("d = "), nmod_poly_print(d), printf("\n\n");
            printf("f = "), nmod_poly_print(f), printf("\n\n");
            printf("g = "), nmod_poly_print(g), printf("\n\n");
            printf("s = "), nmod_poly_print(s), printf("\n\n");
            printf("t = "), nmod_poly_print(t), printf("\n\n");
            printf("u = "), nmod_poly_print(u), printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        nmod_poly_clear(a);
        nmod_poly_clear(b);
        nmod_poly_clear(d);
        nmod_poly_clear(f);
        nmod_poly_clear(g);
        nmod_poly_clear(s);
        nmod_poly_clear(t);
        nmod_poly_clear(u);
    }

    TEST_FUNCTION_END(state);
}