File: nmod_poly_factor.h

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

    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
    Copyright (C) 2015 Tommy Hofmann

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

#ifndef NMOD_POLY_FACTOR_H
#define NMOD_POLY_FACTOR_H

#ifdef NMOD_POLY_FACTOR_INLINES_C
#define NMOD_POLY_FACTOR_INLINE FLINT_DLL
#else
#define NMOD_POLY_FACTOR_INLINE static __inline__
#endif

#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;

typedef struct
{
    nmod_poly_struct * baby;
    nmod_poly_struct res;
    nmod_poly_struct H;
    nmod_poly_struct v;
    nmod_poly_struct vinv;
    slong m;
}
nmod_poly_interval_poly_arg_t;

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

typedef nmod_poly_factor_struct nmod_poly_factor_t[1];

FLINT_DLL void nmod_poly_factor_init(nmod_poly_factor_t fac);

FLINT_DLL void nmod_poly_factor_clear(nmod_poly_factor_t fac);

FLINT_DLL void nmod_poly_factor_realloc(nmod_poly_factor_t fac, slong alloc);

FLINT_DLL void nmod_poly_factor_fit_length(nmod_poly_factor_t fac, slong len);

FLINT_DLL void nmod_poly_factor_set(nmod_poly_factor_t res, const nmod_poly_factor_t fac);

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

FLINT_DLL void nmod_poly_factor_print(const nmod_poly_factor_t fac);

FLINT_DLL void nmod_poly_factor_concat(nmod_poly_factor_t res,
                        const nmod_poly_factor_t fac);

FLINT_DLL void nmod_poly_factor_pow(nmod_poly_factor_t fac, slong exp);

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

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

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

FLINT_DLL ulong nmod_poly_remove(nmod_poly_t f, const nmod_poly_t p);

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

FLINT_DLL ulong nmod_poly_remove(nmod_poly_t f, const nmod_poly_t p);

FLINT_DLL int nmod_poly_is_irreducible(const nmod_poly_t f);

FLINT_DLL int nmod_poly_is_irreducible_rabin(const nmod_poly_t f);

FLINT_DLL int nmod_poly_is_irreducible_ddf(const nmod_poly_t f);

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

FLINT_DLL int nmod_poly_is_squarefree(const nmod_poly_t f);

FLINT_DLL void nmod_poly_factor_cantor_zassenhaus(nmod_poly_factor_t res,
    const nmod_poly_t f);

FLINT_DLL void nmod_poly_factor_berlekamp(nmod_poly_factor_t factors,
    const nmod_poly_t f);

FLINT_DLL void nmod_poly_factor_kaltofen_shoup(nmod_poly_factor_t res,
                                     const nmod_poly_t poly);

FLINT_DLL void nmod_poly_factor_squarefree(nmod_poly_factor_t res, const nmod_poly_t f);

FLINT_DLL mp_limb_t nmod_poly_factor_with_berlekamp(nmod_poly_factor_t result,
    const nmod_poly_t input);

FLINT_DLL mp_limb_t nmod_poly_factor_with_cantor_zassenhaus(nmod_poly_factor_t result,
    const nmod_poly_t input);

FLINT_DLL mp_limb_t nmod_poly_factor_with_kaltofen_shoup(nmod_poly_factor_t result,
    const nmod_poly_t input);

FLINT_DLL mp_limb_t nmod_poly_factor(nmod_poly_factor_t result,
    const nmod_poly_t input);

FLINT_DLL void * _nmod_poly_interval_poly_worker(void* arg_ptr);

#ifdef __cplusplus
    }
#endif

#endif