pqc/external/flint-2.4.3/fmpz_mod_poly/test/t-compose_horner.c

/*=============================================================================

    This file is part of FLINT.

    FLINT is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    FLINT is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with FLINT; if not, write to the Free Software
    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301 USA

=============================================================================*/
/******************************************************************************

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

******************************************************************************/

#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_mod_poly.h"
#include "ulong_extras.h"

int
main(void)
{
    int i, result;
    FLINT_TEST_INIT(state);

    flint_printf("compose_horner....");
    fflush(stdout);

    

    /* Check aliasing of a and c */
    for (i = 0; i < 100; i++)
    {
        fmpz_t p;
        fmpz_mod_poly_t a, b, c;

        fmpz_init(p);
        fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS);
        fmpz_add_ui(p, p, 2);

        fmpz_mod_poly_init(a, p);
        fmpz_mod_poly_init(b, p);
        fmpz_mod_poly_init(c, p);
        fmpz_mod_poly_randtest(a, state, n_randint(state, 80));
        fmpz_mod_poly_randtest(b, state, n_randint(state, 30));

        fmpz_mod_poly_compose_horner(c, a, b);
        fmpz_mod_poly_compose_horner(a, a, b);

        result = (fmpz_mod_poly_equal(a, c));
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpz_mod_poly_print(a), flint_printf("\n\n");
            fmpz_mod_poly_print(b), flint_printf("\n\n");
            fmpz_mod_poly_print(c), flint_printf("\n\n");
            abort();
        }

        fmpz_mod_poly_clear(a);
        fmpz_mod_poly_clear(b);
        fmpz_mod_poly_clear(c);
        fmpz_clear(p);
    }

    /* Check aliasing of b and c */
    for (i = 0; i < 100; i++)
    {
        fmpz_t p;
        fmpz_mod_poly_t a, b, c;

        fmpz_init(p);
        fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS);
        fmpz_add_ui(p, p, 2);

        fmpz_mod_poly_init(a, p);
        fmpz_mod_poly_init(b, p);
        fmpz_mod_poly_init(c, p);
        fmpz_mod_poly_randtest(a, state, n_randint(state, 80));
        fmpz_mod_poly_randtest(b, state, n_randint(state, 30));

        fmpz_mod_poly_compose_horner(c, a, b);
        fmpz_mod_poly_compose_horner(b, a, b);

        result = (fmpz_mod_poly_equal(b, c));
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpz_mod_poly_print(a), flint_printf("\n\n");
            fmpz_mod_poly_print(b), flint_printf("\n\n");
            fmpz_mod_poly_print(c), flint_printf("\n\n");
            abort();
        }

        fmpz_mod_poly_clear(a);
        fmpz_mod_poly_clear(b);
        fmpz_mod_poly_clear(c);
        fmpz_clear(p);
    }

    /* Compare with composition over Z[X] */
    for (i = 0; i < 100; i++)
    {
        fmpz_t p;
        fmpz_mod_poly_t a, b, c, d;
        fmpz_poly_t A, B, C;

        fmpz_init(p);
        fmpz_randtest_unsigned(p, state, 2 * FLINT_BITS);
        fmpz_add_ui(p, p, 2);

        fmpz_mod_poly_init(a, p);
        fmpz_mod_poly_init(b, p);
        fmpz_mod_poly_init(c, p);
        fmpz_mod_poly_init(d, p);
        fmpz_mod_poly_randtest(a, state, n_randint(state, 80));
        fmpz_mod_poly_randtest(b, state, n_randint(state, 30));

        fmpz_poly_init(A);
        fmpz_poly_init(B);
        fmpz_poly_init(C);
        fmpz_mod_poly_get_fmpz_poly(A, a);
        fmpz_mod_poly_get_fmpz_poly(B, b);

        fmpz_mod_poly_compose_horner(c, a, b);
        fmpz_poly_compose(C, A, B);
        fmpz_mod_poly_set_fmpz_poly(d, C);

        result = (fmpz_mod_poly_equal(c, d));
        if (!result)
        {
            flint_printf("FAIL:\n");
            fmpz_mod_poly_print(a), flint_printf("\n\n");
            fmpz_mod_poly_print(b), flint_printf("\n\n");
            fmpz_mod_poly_print(c), flint_printf("\n\n");
            fmpz_mod_poly_print(d), flint_printf("\n\n");
            abort();
        }

        fmpz_mod_poly_clear(a);
        fmpz_mod_poly_clear(b);
        fmpz_mod_poly_clear(c);
        fmpz_mod_poly_clear(d);
        fmpz_poly_clear(A);
        fmpz_poly_clear(B);
        fmpz_poly_clear(C);
        fmpz_clear(p);
    }

    FLINT_TEST_CLEANUP(state);
    
    flint_printf("PASS\n");
    return 0;
}