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

    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) 2007, David Howden
    Copyright (C) 2010, 2011 William Hart
    Copyright (C) 2011 Sebastian Pancratz
    Copyright (C) 2011 Fredrik Johansson

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

#ifndef NMOD_POLY_FACTOR_H
#define NMOD_POLY_FACTOR_H

#undef ulong
#define ulong ulongxx /* interferes with system includes */
#include <stdio.h>
#undef ulong
#include <gmp.h>
#define ulong mp_limb_t

#include "flint.h"
#include "nmod_vec.h"
#include "nmod_mat.h"
#include "ulong_extras.h"
#include "fmpz.h"

#ifdef __cplusplus
    extern "C" {
#endif

typedef struct
{
    nmod_poly_struct *p;
    slong *exp;
    slong num;
    slong alloc;
} nmod_poly_factor_struct;

/* Factoring  ****************************************************************/

typedef nmod_poly_factor_struct nmod_poly_factor_t[1];

void nmod_poly_factor_init(nmod_poly_factor_t fac);

void nmod_poly_factor_clear(nmod_poly_factor_t fac);

void nmod_poly_factor_realloc(nmod_poly_factor_t fac, slong alloc);

void nmod_poly_factor_fit_length(nmod_poly_factor_t fac, slong len);

void nmod_poly_factor_set(nmod_poly_factor_t res, const nmod_poly_factor_t fac);

void nmod_poly_factor_insert(nmod_poly_factor_t fac,
                             const nmod_poly_t poly, slong exp);

void nmod_poly_factor_print(const nmod_poly_factor_t fac);

void nmod_poly_factor_concat(nmod_poly_factor_t res,
                        const nmod_poly_factor_t fac);

void nmod_poly_factor_pow(nmod_poly_factor_t fac, slong exp);

void nmod_poly_factor_equal_deg(nmod_poly_factor_t factors,
                                const nmod_poly_t pol, slong d);

int nmod_poly_factor_equal_deg_prob(nmod_poly_t factor,
    flint_rand_t state, const nmod_poly_t pol, slong d);

void nmod_poly_factor_distinct_deg(nmod_poly_factor_t res,
                                   const nmod_poly_t poly, slong * const *degs);

ulong nmod_poly_remove(nmod_poly_t f, const nmod_poly_t p);

int nmod_poly_is_irreducible(const nmod_poly_t f);

int nmod_poly_is_irreducible_rabin(const nmod_poly_t f);

int nmod_poly_is_irreducible_ddf(const nmod_poly_t f);

int _nmod_poly_is_squarefree(mp_srcptr f, slong len, nmod_t mod);

int nmod_poly_is_squarefree(const nmod_poly_t f);

void nmod_poly_factor_cantor_zassenhaus(nmod_poly_factor_t res,
    const nmod_poly_t f);

void nmod_poly_factor_berlekamp(nmod_poly_factor_t factors,
    const nmod_poly_t f);

void nmod_poly_factor_kaltofen_shoup(nmod_poly_factor_t res,
                                     const nmod_poly_t poly);

void nmod_poly_factor_squarefree(nmod_poly_factor_t res, const nmod_poly_t f);

mp_limb_t nmod_poly_factor_with_berlekamp(nmod_poly_factor_t result,
    const nmod_poly_t input);

mp_limb_t nmod_poly_factor_with_cantor_zassenhaus(nmod_poly_factor_t result,
    const nmod_poly_t input);

mp_limb_t nmod_poly_factor_with_kaltofen_shoup(nmod_poly_factor_t result,
    const nmod_poly_t input);

mp_limb_t nmod_poly_factor(nmod_poly_factor_t result,
    const nmod_poly_t input);

#ifdef __cplusplus
    }
#endif

#endif