flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2020 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 "fmpz.h"
#include "fmpz_mod.h"
#include "fmpz_mod_poly.h"

TEST_FUNCTION_START(fmpz_mod_poly_powers_mod_naive, state)
{
    int i, result;
    fmpz_mod_ctx_t ctx;

    fmpz_mod_ctx_init_ui(ctx, 2);

    /* Compare with powmod */
    for (i = 0; i < 100 * flint_test_multiplier(); i++)
    {
        fmpz_mod_poly_t f, g, pow;
        fmpz_mod_poly_struct * res;
        fmpz_t n;
        ulong exp;
        slong j;

        fmpz_init(n);

        fmpz_randprime(n, state, 100, 0);
        fmpz_mod_ctx_set_modulus(ctx, n);
        exp = n_randint(state, 32);

        fmpz_mod_poly_init(f, ctx);
        fmpz_mod_poly_init(g, ctx);
        fmpz_mod_poly_init(pow, ctx);

        res = (fmpz_mod_poly_struct *) flint_malloc(exp*sizeof(fmpz_mod_poly_struct));

        for (j = 0; j < exp; j++)
            fmpz_mod_poly_init(res + j, ctx);

        fmpz_mod_poly_randtest(f, state, n_randint(state, 50), ctx);
        fmpz_mod_poly_randtest_not_zero(g, state, n_randint(state, 50) + 1, ctx);

        fmpz_mod_poly_powers_mod_naive(res, f, exp, g, ctx);

        result = 1;
        j = 0;

        if (exp > 0)
        {
            fmpz_mod_poly_one(pow, ctx);
            result = fmpz_mod_poly_equal(res + 0, pow, ctx);
        }

        for (j = 1 ; j < exp && result; j++)
        {
            fmpz_mod_poly_mulmod(pow, pow, f, g, ctx);
            result &= fmpz_mod_poly_equal(res + j, pow, ctx);
        }

        j--;

        if (!result)
        {
            flint_printf("FAIL:\n");
            flint_printf("exp: %wu\n\n", exp);
            flint_printf("f:\n"); fmpz_mod_poly_print(f, ctx), flint_printf("\n\n");
            flint_printf("g:\n"); fmpz_mod_poly_print(g, ctx), flint_printf("\n\n");
            flint_printf("j: %w\n", j);
            flint_printf("pow:\n"); fmpz_mod_poly_print(pow, ctx), flint_printf("\n\n");
            flint_printf("res[%w]:\n", j); fmpz_mod_poly_print(res + j, ctx), flint_printf("\n\n");
            fflush(stdout);
            flint_abort();
        }

        fmpz_mod_poly_clear(f, ctx);
        fmpz_mod_poly_clear(g, ctx);
        fmpz_mod_poly_clear(pow, ctx);

        for (j = 0; j < exp; j++)
            fmpz_mod_poly_clear(res + j, ctx);

        flint_free(res);

        fmpz_clear(n);
    }

    fmpz_mod_ctx_clear(ctx);

    TEST_FUNCTION_END(state);
}