flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2010 Andy Novocin

    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 "fmpz.h"
#include "fmpz_poly.h"
#include "fmpz_poly_factor.h"

TEST_FUNCTION_START(fmpz_poly_factor_zassenhaus, state)
{
    slong i;

    for (i = 0; i < 500 * flint_test_multiplier(); i++)
    {
        fmpz_t c;
        fmpz_poly_t f, g, h, t;
        fmpz_poly_factor_t fac;
        slong j, k, n = n_randint(state, 7) + 1;
        slong facs1 = 0, facs2 = 0;

        fmpz_init(c);
        fmpz_poly_init(f);
        fmpz_poly_init(g);
        fmpz_poly_init(h);
        fmpz_poly_init(t);
        fmpz_poly_factor_init(fac);

        fmpz_randtest_not_zero(c, state, n_randint(state, 100) + 1);
        fmpz_poly_set_fmpz(f, c);

        for (j = 0; j < n; j++)
        {
            do {
               fmpz_poly_randtest(g, state, n_randint(state, 35/n) + 2,
                                                        n_randint(state, 100));
            } while (g->length == 0);
            k = 0;
            while (k < g->length && fmpz_is_zero(g->coeffs + k))
               k++;
            facs1 += k; /* count powers of x separately */
            if (k < g->length - 1)
               facs1++; /* rough lower bound of factors of f */
            fmpz_poly_mul(f, f, g);
        }

        fmpz_poly_factor_zassenhaus(fac, f);

        fmpz_poly_set_fmpz(h, &fac->c);
        for (j = 0; j < fac->num; j++)
        {
            if (fac->exp[j] == 1)
                fmpz_poly_mul(h, h, fac->p + j);
            else
            {
                fmpz_poly_pow(t, fac->p + j, fac->exp[j]);
                fmpz_poly_mul(h, h, t);
            }
            facs2 += fac->exp[j];
        }

        if (!fmpz_poly_equal(f, h) || facs1 > facs2)
        {
            flint_printf("FAIL:\n");
            flint_printf("facs1 = %wd, facs2 = %wd\n", facs1, facs2);
            flint_printf("f = "), fmpz_poly_print_pretty(f, "x"), flint_printf("\n\n");
            flint_printf("h = "), fmpz_poly_print(h), flint_printf("\n\n");
            flint_printf("fac = "), fmpz_poly_factor_print(fac), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        for (j = 0; j < fac->num; j++)
        {
            for (k = j + 1; k < fac->num; k++)
            {
                if (fmpz_poly_equal(fac->p + j, fac->p + k))
                {
                    flint_printf("FAIL (repeated factor):\n");
                    flint_printf("facs1 = %wd, facs2 = %wd\n", facs1, facs2);
                    flint_printf("f = "), fmpz_poly_print(f), flint_printf("\n\n");
                    flint_printf("h = "), fmpz_poly_print(h), flint_printf("\n\n");
                    flint_printf("fac = "), fmpz_poly_factor_print(fac), flint_printf("\n\n");
                    fflush(stdout);
                    flint_abort();
                }
            }

            fmpz_poly_content(c, fac->p + j);
            if (!fmpz_is_one(c) || fmpz_sgn(fmpz_poly_lead(fac->p + j)) < 0)
            {
                flint_printf("FAIL (factor not reduced):\n");
                flint_printf("facs1 = %wd, facs2 = %wd\n", facs1, facs2);
                flint_printf("f = "), fmpz_poly_print(f), flint_printf("\n\n");
                flint_printf("h = "), fmpz_poly_print(h), flint_printf("\n\n");
                flint_printf("fac = "), fmpz_poly_factor_print(fac), flint_printf("\n\n");
                fflush(stdout);
                flint_abort();
            }
        }

        fmpz_clear(c);
        fmpz_poly_clear(f);
        fmpz_poly_clear(g);
        fmpz_poly_clear(h);
        fmpz_poly_clear(t);
        fmpz_poly_factor_clear(fac);
    }

    TEST_FUNCTION_END(state);
}