pqc/external/flint-2.4.3/padic/test/t-teichmuller.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, 2012 Sebastian Pancratz

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

#include "ulong_extras.h"
#include "padic.h"

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

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

    

    /* Check aliasing (x 1,000) */
    for (i = 0; i < 1000; i++)
    {
        fmpz_t p;
        slong N;
        padic_ctx_t ctx;

        padic_t a, b, c;

        fmpz_init_set_ui(p, n_randtest_prime(state, 0));
        N = n_randint(state, PADIC_TEST_PREC_MAX);
        padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);

        padic_init2(a, N);
        padic_init2(b, N);
        padic_init2(c, N);

        padic_randtest_int(a, state, ctx);
        padic_set(b, a, ctx);

        padic_teichmuller(c, b, ctx);
        padic_teichmuller(b, b, ctx);

        result = (padic_equal(b, c));
        if (!result)
        {
            flint_printf("FAIL (aliasing):\n\n");
            flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
            flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
            flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
            abort();
        }

        padic_clear(a);
        padic_clear(b);
        padic_clear(c);

        fmpz_clear(p);
        padic_ctx_clear(ctx);
    }

    /* Check x^p == x for word-sized p (x 10,000)*/
    for (i = 0; i < 10000; i++)
    {
        fmpz_t p;
        slong prime, N;
        padic_ctx_t ctx;

        padic_t a, b, c;

        prime = n_randprime(state, 2 + n_randint(state, FLINT_BITS - 2), 0);
        fmpz_init_set_ui(p, prime);
        N = n_randint(state, PADIC_TEST_PREC_MAX);
        padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);

        padic_init2(a, N);
        padic_init2(b, N);
        padic_init2(c, N);

        padic_randtest_int(a, state, ctx);

        padic_teichmuller(b, a, ctx);
        padic_pow_si(c, b, fmpz_get_si(p), ctx);

        result = (padic_equal(b, c));
        if (!result)
        {
            flint_printf("FAIL (x^p == x):\n\n");
            flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
            flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
            flint_printf("c = "), padic_print(c, ctx), flint_printf("\n");
            abort();
        }

        padic_clear(a);
        padic_clear(b);
        padic_clear(c);

        fmpz_clear(p);
        padic_ctx_clear(ctx);
    }

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