/usr/include/flint/fmpz_mod_poly.h is in libflint-dev 2.5.2-17build1.
This file is owned by root:root, with mode 0o644.
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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) 2011 Sebastian Pancratz
Copyright (C) 2014 William Hart
******************************************************************************/
#ifndef FMPZ_MOD_POLY_H
#define FMPZ_MOD_POLY_H
#ifdef FMPZ_MOD_POLY_INLINES_C
#define FMPZ_MOD_POLY_INLINE FLINT_DLL
#else
#define FMPZ_MOD_POLY_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 "fmpz.h"
#include "fmpz_poly.h"
#include "fmpz_mat.h"
#ifdef __cplusplus
extern "C" {
#endif
#define FMPZ_MOD_POLY_HGCD_CUTOFF 128 /* HGCD: Basecase -> Recursion */
#define FMPZ_MOD_POLY_GCD_CUTOFF 256 /* GCD: Euclidean -> HGCD */
#define FMPZ_MOD_POLY_INV_NEWTON_CUTOFF 64 /* Inv series newton: Basecase -> Newton */
/* Type definitions *********************************************************/
typedef struct
{
fmpz * coeffs;
slong alloc;
slong length;
fmpz p;
} fmpz_mod_poly_struct;
typedef fmpz_mod_poly_struct fmpz_mod_poly_t[1];
typedef struct
{
fmpz_t res;
fmpz_t lc;
slong len0;
slong len1;
slong off;
} fmpz_mod_poly_res_struct;
typedef fmpz_mod_poly_res_struct fmpz_mod_poly_res_t[1];
typedef struct
{
fmpz_mod_poly_struct * pow;
slong len;
} fmpz_mod_poly_frobenius_powers_2exp_struct;
typedef fmpz_mod_poly_frobenius_powers_2exp_struct fmpz_mod_poly_frobenius_powers_2exp_t[1];
typedef struct
{
fmpz_mod_poly_struct * pow;
slong len;
} fmpz_mod_poly_frobenius_powers_struct;
typedef fmpz_mod_poly_frobenius_powers_struct fmpz_mod_poly_frobenius_powers_t[1];
typedef struct
{
fmpz_mat_struct A;
fmpz_mod_poly_struct poly1;
fmpz_mod_poly_struct poly2;
fmpz_mod_poly_struct poly2inv;
}
fmpz_mod_poly_matrix_precompute_arg_t;
typedef struct
{
fmpz_mat_struct A;
fmpz_mod_poly_struct res;
fmpz_mod_poly_struct poly1;
fmpz_mod_poly_struct poly3;
fmpz_mod_poly_struct poly3inv;
}
fmpz_mod_poly_compose_mod_precomp_preinv_arg_t;
/* Initialisation and memory management *************************************/
FLINT_DLL void fmpz_mod_poly_init(fmpz_mod_poly_t poly, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_init2(fmpz_mod_poly_t poly, const fmpz_t p, slong alloc);
FLINT_DLL void fmpz_mod_poly_clear(fmpz_mod_poly_t poly);
FLINT_DLL void fmpz_mod_poly_realloc(fmpz_mod_poly_t poly, slong alloc);
FLINT_DLL void fmpz_mod_poly_fit_length(fmpz_mod_poly_t poly, slong len);
/* Normalisation and truncation *********************************************/
FLINT_DLL void _fmpz_mod_poly_normalise(fmpz_mod_poly_t poly);
FMPZ_MOD_POLY_INLINE
void _fmpz_mod_poly_set_length(fmpz_mod_poly_t poly, slong len)
{
if (poly->length > len)
{
slong i;
for (i = len; i < poly->length; i++)
_fmpz_demote(poly->coeffs + i);
}
poly->length = len;
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_truncate(fmpz_mod_poly_t poly, slong len)
{
if (poly->length > len)
{
slong i;
for (i = len; i < poly->length; i++)
_fmpz_demote(poly->coeffs + i);
poly->length = len;
_fmpz_mod_poly_normalise(poly);
}
}
FLINT_DLL void fmpz_mod_poly_set_trunc(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly, slong n);
/* Randomisation ************************************************************/
FLINT_DLL void fmpz_mod_poly_randtest(fmpz_mod_poly_t f, flint_rand_t state, slong len);
FLINT_DLL void fmpz_mod_poly_randtest_irreducible(fmpz_mod_poly_t f,
flint_rand_t state, slong len);
FLINT_DLL void fmpz_mod_poly_randtest_not_zero(fmpz_mod_poly_t f,
flint_rand_t state, slong len);
FLINT_DLL void fmpz_mod_poly_randtest_monic(fmpz_mod_poly_t f, flint_rand_t state, slong len);
FLINT_DLL void fmpz_mod_poly_randtest_monic_irreducible(fmpz_mod_poly_t f,
flint_rand_t state, slong len);
FLINT_DLL void fmpz_mod_poly_randtest_trinomial(fmpz_mod_poly_t f, flint_rand_t state, slong len);
FLINT_DLL int fmpz_mod_poly_randtest_trinomial_irreducible(fmpz_mod_poly_t f,
flint_rand_t state, slong len,
slong max_attempts);
FLINT_DLL void fmpz_mod_poly_randtest_pentomial(fmpz_mod_poly_t f, flint_rand_t state, slong len);
FLINT_DLL int fmpz_mod_poly_randtest_pentomial_irreducible(fmpz_mod_poly_t f,
flint_rand_t state, slong len,
slong max_attempts);
FLINT_DLL void fmpz_mod_poly_randtest_sparse_irreducible(fmpz_mod_poly_t poly,
flint_rand_t state, slong len);
/* Attributes ***************************************************************/
#define fmpz_mod_poly_modulus(poly) (&((poly)->p))
FMPZ_MOD_POLY_INLINE
slong fmpz_mod_poly_degree(const fmpz_mod_poly_t poly)
{
return poly->length - 1;
}
FMPZ_MOD_POLY_INLINE
slong fmpz_mod_poly_length(const fmpz_mod_poly_t poly)
{
return poly->length;
}
FMPZ_MOD_POLY_INLINE
fmpz * fmpz_mod_poly_lead(const fmpz_mod_poly_t poly)
{
if (poly->length)
return poly->coeffs + (poly->length - 1);
else
return NULL;
}
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_is_one(const fmpz_mod_poly_t poly)
{
return poly->length == 1 && fmpz_is_one(poly->coeffs + 0);
}
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_is_x(const fmpz_mod_poly_t op)
{
return (op->length) == 2 && (*(op->coeffs + 1) == WORD(1)) && (*(op->coeffs + 0) == WORD(0));
}
/* Assignment and basic manipulation ****************************************/
FLINT_DLL void fmpz_mod_poly_set(fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2);
FLINT_DLL void fmpz_mod_poly_swap(fmpz_mod_poly_t poly1, fmpz_mod_poly_t poly2);
FLINT_DLL void _fmpz_mod_poly_reverse(fmpz * res, const fmpz * poly, slong len, slong n);
FLINT_DLL void fmpz_mod_poly_reverse(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly, slong n);
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_zero(fmpz_mod_poly_t poly)
{
_fmpz_mod_poly_set_length(poly, 0);
}
FLINT_DLL void fmpz_mod_poly_zero_coeffs(fmpz_mod_poly_t poly, slong i, slong j);
/* Conversion ***************************************************************/
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_set_ui(fmpz_mod_poly_t f, ulong x)
{
if (x == 0)
{
fmpz_mod_poly_zero(f);
}
else
{
fmpz_mod_poly_fit_length(f, 1);
_fmpz_mod_poly_set_length(f, 1);
fmpz_set_ui(f->coeffs, x);
fmpz_mod(f->coeffs, f->coeffs, &(f->p));
_fmpz_mod_poly_normalise(f);
}
}
FLINT_DLL void fmpz_mod_poly_set_fmpz(fmpz_mod_poly_t poly, const fmpz_t c);
FLINT_DLL void fmpz_mod_poly_set_fmpz_poly(fmpz_mod_poly_t f, const fmpz_poly_t g);
FLINT_DLL void fmpz_mod_poly_get_fmpz_poly(fmpz_poly_t f, const fmpz_mod_poly_t g);
/* Comparison ***************************************************************/
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_equal(const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2)
{
return fmpz_poly_equal((fmpz_poly_struct *) poly1,
(fmpz_poly_struct *) poly2);
}
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_equal_trunc(const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, slong n)
{
return fmpz_poly_equal_trunc((fmpz_poly_struct *) poly1,
(fmpz_poly_struct *) poly2, n);
}
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_is_zero(const fmpz_mod_poly_t poly)
{
return (poly->length == 0);
}
/* Getting and setting coefficients *****************************************/
FLINT_DLL void fmpz_mod_poly_set_coeff_fmpz(fmpz_mod_poly_t poly, slong n, const fmpz_t x);
FLINT_DLL void fmpz_mod_poly_set_coeff_ui(fmpz_mod_poly_t poly, slong n, ulong x);
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_get_coeff_fmpz(fmpz_t x, const fmpz_mod_poly_t poly, slong n)
{
if (n < poly->length)
fmpz_set(x, poly->coeffs + n);
else
fmpz_zero(x);
}
FMPZ_MOD_POLY_INLINE void fmpz_mod_poly_set_coeff_mpz(fmpz_mod_poly_t poly, slong n,
const mpz_t x)
{
fmpz_t t;
fmpz_init_set_readonly(t, x);
fmpz_mod_poly_set_coeff_fmpz(poly, n, t);
fmpz_clear_readonly(t);
}
FMPZ_MOD_POLY_INLINE void fmpz_mod_poly_get_coeff_mpz(mpz_t x, const fmpz_mod_poly_t poly, slong n)
{
fmpz_t t;
fmpz_init(t);
fmpz_mod_poly_get_coeff_fmpz(t, poly, n);
fmpz_get_mpz(x, t);
fmpz_clear(t);
}
/* Shifting *****************************************************************/
FLINT_DLL void _fmpz_mod_poly_shift_left(fmpz * res, const fmpz * poly, slong len, slong n);
FLINT_DLL void fmpz_mod_poly_shift_left(fmpz_mod_poly_t f,
const fmpz_mod_poly_t g, slong n);
FLINT_DLL void _fmpz_mod_poly_shift_right(fmpz * res, const fmpz * poly, slong len, slong n);
FLINT_DLL void fmpz_mod_poly_shift_right(fmpz_mod_poly_t f,
const fmpz_mod_poly_t g, slong n);
/* Addition and subtraction *************************************************/
FLINT_DLL void _fmpz_mod_poly_add(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_add(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2);
FLINT_DLL void _fmpz_mod_poly_sub(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_add_series(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2, slong n);
FLINT_DLL void _fmpz_mod_poly_sub(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_sub(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2);
FLINT_DLL void _fmpz_mod_poly_neg(fmpz *res, const fmpz *poly, slong len, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_sub_series(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2, slong n);
FLINT_DLL void _fmpz_mod_poly_neg(fmpz *res, const fmpz *poly, slong len, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_neg(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly);
/* Scalar multiplication ****************************************************/
FLINT_DLL void _fmpz_mod_poly_scalar_mul_fmpz(fmpz *res, const fmpz *poly, slong len,
const fmpz_t x, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_scalar_mul_fmpz(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, const fmpz_t x);
/* Scalar division ****************************************************/
FLINT_DLL void _fmpz_mod_poly_scalar_div_fmpz(fmpz *res, const fmpz *poly, slong len,
const fmpz_t x, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_scalar_div_fmpz(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, const fmpz_t x);
/* Multiplication ***********************************************************/
FLINT_DLL void _fmpz_mod_poly_mul(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_mul(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2);
FLINT_DLL void _fmpz_mod_poly_mullow(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2,
const fmpz_t p, slong n);
FLINT_DLL void fmpz_mod_poly_mullow(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2, slong n);
FLINT_DLL void _fmpz_mod_poly_sqr(fmpz *res, const fmpz *poly, slong len, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_sqr(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly);
FLINT_DLL void _fmpz_mod_poly_mulmod(fmpz * res, const fmpz * poly1, slong len1,
const fmpz * poly2, slong len2, const fmpz * f,
slong lenf, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_mulmod(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, const fmpz_mod_poly_t f);
FLINT_DLL void _fmpz_mod_poly_mulmod_preinv(fmpz * res, const fmpz * poly1, slong len1,
const fmpz * poly2, slong len2, const fmpz * f, slong lenf,
const fmpz* finv, slong lenfinv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_mulmod_preinv(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, const fmpz_mod_poly_t f,
const fmpz_mod_poly_t finv);
/* Powering *****************************************************************/
FLINT_DLL void _fmpz_mod_poly_pow(fmpz *rop, const fmpz *op, slong len, ulong e,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_pow(fmpz_mod_poly_t rop, const fmpz_mod_poly_t op, ulong e);
FLINT_DLL void _fmpz_mod_poly_pow_trunc(fmpz * res, const fmpz * poly,
ulong e, slong trunc, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_pow_trunc(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, ulong e, slong trunc);
FLINT_DLL void _fmpz_mod_poly_pow_trunc_binexp(fmpz * res, const fmpz * poly,
ulong e, slong trunc, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_pow_trunc_binexp(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, ulong e, slong trunc);
FLINT_DLL void _fmpz_mod_poly_powmod_ui_binexp(fmpz * res, const fmpz * poly,
ulong e, const fmpz * f, slong lenf, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_powmod_ui_binexp(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, ulong e,
const fmpz_mod_poly_t f);
FLINT_DLL void _fmpz_mod_poly_powmod_ui_binexp_preinv(fmpz * res, const fmpz * poly,
ulong e, const fmpz * f, slong lenf,
const fmpz * finv, slong lenfinv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_powmod_ui_binexp_preinv(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, ulong e,
const fmpz_mod_poly_t f, const fmpz_mod_poly_t finv);
FLINT_DLL void _fmpz_mod_poly_powmod_fmpz_binexp(fmpz * res, const fmpz * poly,
const fmpz_t e, const fmpz * f,
slong lenf, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_powmod_fmpz_binexp(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, const fmpz_t e,
const fmpz_mod_poly_t f);
FLINT_DLL void _fmpz_mod_poly_powmod_fmpz_binexp_preinv(fmpz * res, const fmpz * poly,
const fmpz_t e, const fmpz * f, slong lenf,
const fmpz* finv, slong lenfinv,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_powmod_fmpz_binexp_preinv(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly, const fmpz_t e,
const fmpz_mod_poly_t f, const fmpz_mod_poly_t finv);
FLINT_DLL void _fmpz_mod_poly_powmod_x_fmpz_preinv(fmpz * res, const fmpz_t e, const fmpz * f,
slong lenf, const fmpz* finv, slong lenfinv,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_powmod_x_fmpz_preinv(fmpz_mod_poly_t res, const fmpz_t e,
const fmpz_mod_poly_t f, const fmpz_mod_poly_t finv);
FLINT_DLL void fmpz_mod_poly_frobenius_powers_2exp_precomp(fmpz_mod_poly_frobenius_powers_2exp_t pow,
const fmpz_mod_poly_t f, const fmpz_mod_poly_t finv, ulong m);
FLINT_DLL void fmpz_mod_poly_frobenius_powers_2exp_clear(fmpz_mod_poly_frobenius_powers_2exp_t pow);
FLINT_DLL void fmpz_mod_poly_frobenius_power(fmpz_mod_poly_t res,
fmpz_mod_poly_frobenius_powers_2exp_t pow,
const fmpz_mod_poly_t f, ulong m);
FLINT_DLL void fmpz_mod_poly_frobenius_powers_precomp(fmpz_mod_poly_frobenius_powers_t pow,
const fmpz_mod_poly_t f, const fmpz_mod_poly_t finv, ulong m);
FLINT_DLL void fmpz_mod_poly_frobenius_powers_clear(fmpz_mod_poly_frobenius_powers_t pow);
/* Division *****************************************************************/
FLINT_DLL void _fmpz_mod_poly_divrem_basecase(fmpz * Q, fmpz * R,
const fmpz * A, slong lenA, const fmpz * B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_divrem_basecase(fmpz_mod_poly_t Q, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL void _fmpz_mod_poly_div_basecase(fmpz * Q, fmpz * R,
const fmpz * A, slong lenA, const fmpz * B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_div_basecase(fmpz_mod_poly_t Q,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL void _fmpz_mod_poly_div_newton_n_preinv (fmpz* Q, const fmpz* A, slong lenA,
const fmpz* B, slong lenB, const fmpz* Binv,
slong lenBinv, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_div_newton_n_preinv(fmpz_mod_poly_t Q, const fmpz_mod_poly_t A,
const fmpz_mod_poly_t B, const fmpz_mod_poly_t Binv);
FLINT_DLL void _fmpz_mod_poly_divrem_newton_n_preinv (fmpz* Q, fmpz* R, const fmpz* A,
slong lenA, const fmpz* B, slong lenB,
const fmpz* Binv, slong lenBinv, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_divrem_newton_n_preinv(fmpz_mod_poly_t Q, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B,
const fmpz_mod_poly_t Binv);
FLINT_DLL ulong fmpz_mod_poly_remove(fmpz_mod_poly_t f, const fmpz_mod_poly_t p);
FLINT_DLL void _fmpz_mod_poly_rem_basecase(fmpz * R,
const fmpz * A, slong lenA, const fmpz * B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_rem_basecase(fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL void _fmpz_mod_poly_divrem_divconquer_recursive(fmpz * Q, fmpz * BQ, fmpz * W,
const fmpz * A, const fmpz * B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void _fmpz_mod_poly_divrem_divconquer(fmpz * Q, fmpz * R,
const fmpz * A, slong lenA, const fmpz * B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_divrem_divconquer(fmpz_mod_poly_t Q, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FMPZ_MOD_POLY_INLINE
void _fmpz_mod_poly_divrem(fmpz *Q, fmpz *R,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p)
{
_fmpz_mod_poly_divrem_divconquer(Q, R, A, lenA, B, lenB, invB, p);
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_divrem(fmpz_mod_poly_t Q, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
fmpz_mod_poly_divrem_divconquer(Q, R, A, B);
}
FLINT_DLL void _fmpz_mod_poly_divrem_f(fmpz_t f, fmpz *Q, fmpz *R,
const fmpz *A, slong lenA,
const fmpz *B, slong lenB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_divrem_f(fmpz_t f, fmpz_mod_poly_t Q, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FMPZ_MOD_POLY_INLINE
void _fmpz_mod_poly_rem(fmpz *R,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p)
{
fmpz *Q = _fmpz_vec_init(lenA - lenB + 1);
fmpz *T = _fmpz_vec_init(lenA);
if (lenA < lenB)
{
_fmpz_vec_set(R, A, lenA);
_fmpz_vec_zero(R + lenA, lenB - 1 - lenA);
} else
{
_fmpz_mod_poly_divrem_divconquer(Q, T, A, lenA, B, lenB, invB, p);
_fmpz_vec_set(R, T, lenB - 1);
}
_fmpz_vec_clear(T, lenA);
_fmpz_vec_clear(Q, lenA - lenB + 1);
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_rem(fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
fmpz_mod_poly_t Q;
fmpz_mod_poly_init(Q, &(A->p));
fmpz_mod_poly_divrem(Q, R, A, B);
fmpz_mod_poly_clear(Q);
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_rem_f(fmpz_t f, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
fmpz_mod_poly_t Q;
fmpz_mod_poly_init(Q, &(A->p));
fmpz_mod_poly_divrem_f(f, Q, R, A, B);
fmpz_mod_poly_clear(Q);
}
FLINT_DLL void _fmpz_mod_poly_div_newton_n_preinv (fmpz *Q, const fmpz* A, slong lenA,
const fmpz* B, slong lenB, const fmpz* Binv,
slong lenBinv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_div_newton_n_preinv (fmpz_mod_poly_t Q, const fmpz_mod_poly_t A,
const fmpz_mod_poly_t B, const fmpz_mod_poly_t Binv);
FLINT_DLL void _fmpz_mod_poly_divrem_newton_n_preinv (fmpz* Q, fmpz* R, const fmpz* A,
slong lenA, const fmpz* B, slong lenB,
const fmpz* Binv, slong lenBinv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_divrem_newton_n_preinv(fmpz_mod_poly_t Q, fmpz_mod_poly_t R,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B,
const fmpz_mod_poly_t Binv);
/* Power series inversion ***************************************************/
FLINT_DLL void _fmpz_mod_poly_inv_series_newton(fmpz * Qinv, const fmpz * Q, slong n,
const fmpz_t cinv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_inv_series_newton(fmpz_mod_poly_t Qinv,
const fmpz_mod_poly_t Q, slong n);
FLINT_DLL void fmpz_mod_poly_inv_series_newton_f(fmpz_t f, fmpz_mod_poly_t Qinv,
const fmpz_mod_poly_t Q, slong n);
FMPZ_MOD_POLY_INLINE void
_fmpz_mod_poly_inv_series(fmpz * Qinv, const fmpz * Q, slong n,
const fmpz_t cinv, const fmpz_t p)
{
_fmpz_mod_poly_inv_series_newton(Qinv, Q, n, cinv, p);
}
FMPZ_MOD_POLY_INLINE void
fmpz_mod_poly_inv_series(fmpz_mod_poly_t Qinv,
const fmpz_mod_poly_t Q, slong n)
{
fmpz_mod_poly_inv_series_newton(Qinv, Q, n);
}
FMPZ_MOD_POLY_INLINE void
fmpz_mod_poly_inv_series_f(fmpz_t f, fmpz_mod_poly_t Qinv,
const fmpz_mod_poly_t Q, slong n)
{
fmpz_mod_poly_inv_series_newton_f(f, Qinv, Q, n);
}
/* Power series division ***************************************************/
FLINT_DLL void _fmpz_mod_poly_div_series(fmpz * Q, const fmpz * A, slong Alen,
const fmpz * B, slong Blen, const fmpz_t p, slong n);
FLINT_DLL void fmpz_mod_poly_div_series(fmpz_mod_poly_t Q, const fmpz_mod_poly_t A,
const fmpz_mod_poly_t B, slong n);
/* Greatest common divisor **************************************************/
FLINT_DLL void fmpz_mod_poly_make_monic(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly);
FLINT_DLL void fmpz_mod_poly_make_monic_f(fmpz_t f, fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly);
FLINT_DLL slong _fmpz_mod_poly_gcd_euclidean(fmpz *G, const fmpz *A, slong lenA,
const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_gcd_euclidean(fmpz_mod_poly_t G,
const fmpz_mod_poly_t A,
const fmpz_mod_poly_t B);
FLINT_DLL slong _fmpz_mod_poly_gcd_euclidean_f(fmpz_t f, fmpz *G,
const fmpz *A, slong lenA,
const fmpz *B, slong lenB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_gcd_euclidean_f(fmpz_t f, fmpz_mod_poly_t G,
const fmpz_mod_poly_t A,
const fmpz_mod_poly_t B);
FMPZ_MOD_POLY_INLINE
slong _fmpz_mod_poly_gcd_f(fmpz_t f, fmpz *G,
const fmpz *A, slong lenA,
const fmpz *B, slong lenB, const fmpz_t p)
{
return _fmpz_mod_poly_gcd_euclidean_f(f, G, A, lenA, B, lenB, p);
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_gcd_f(fmpz_t f, fmpz_mod_poly_t G,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
fmpz_mod_poly_gcd_euclidean_f(f, G, A, B);
}
FLINT_DLL slong _fmpz_mod_poly_hgcd_recursive(fmpz **M, slong *lenM,
fmpz *A, slong *lenA, fmpz *B, slong *lenB,
const fmpz *a, slong lena, const fmpz *b, slong lenb,
fmpz *P, const fmpz_t mod, int flag, fmpz_mod_poly_res_t res);
FLINT_DLL slong _fmpz_mod_poly_hgcd(fmpz **M, slong *lenM,
fmpz *A, slong *lenA, fmpz *B, slong *lenB,
const fmpz *a, slong lena, const fmpz *b, slong lenb,
const fmpz_t mod);
FLINT_DLL slong _fmpz_mod_poly_gcd_hgcd(fmpz *G, const fmpz *A, slong lenA,
const fmpz *B, slong lenB, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_gcd_hgcd(fmpz_mod_poly_t G,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FMPZ_MOD_POLY_INLINE
slong _fmpz_mod_poly_gcd(fmpz *G, const fmpz *A, slong lenA,
const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p)
{
if (FLINT_MIN(lenA, lenB) < FMPZ_MOD_POLY_GCD_CUTOFF)
return _fmpz_mod_poly_gcd_euclidean(G, A, lenA, B, lenB, invB, p);
else
return _fmpz_mod_poly_gcd_hgcd(G, A, lenA, B, lenB, p);
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_gcd(fmpz_mod_poly_t G,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
if (FLINT_MIN(A->length, B->length) < FMPZ_MOD_POLY_GCD_CUTOFF)
fmpz_mod_poly_gcd_euclidean(G, A, B);
else
fmpz_mod_poly_gcd_hgcd(G, A, B);
}
FLINT_DLL slong _fmpz_mod_poly_xgcd_euclidean(fmpz *G, fmpz *S, fmpz *T,
const fmpz *A, slong lenA,
const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL slong _fmpz_mod_poly_xgcd_euclidean_f(fmpz_t f, fmpz *G, fmpz *S, fmpz *T,
const fmpz *A, slong lenA,
const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_xgcd_euclidean(fmpz_mod_poly_t G,
fmpz_mod_poly_t S, fmpz_mod_poly_t T,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL void fmpz_mod_poly_xgcd_euclidean_f(fmpz_t f, fmpz_mod_poly_t G,
fmpz_mod_poly_t S, fmpz_mod_poly_t T,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL slong _fmpz_mod_poly_xgcd_hgcd(fmpz *G, fmpz *S, fmpz *T,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_xgcd_hgcd(fmpz_mod_poly_t G, fmpz_mod_poly_t S,
fmpz_mod_poly_t T, const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FMPZ_MOD_POLY_INLINE slong
_fmpz_mod_poly_xgcd(fmpz *G, fmpz *S, fmpz *T,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p)
{
if (FLINT_MIN(lenA, lenB) < FMPZ_MOD_POLY_GCD_CUTOFF)
return _fmpz_mod_poly_xgcd_euclidean(G, S, T, A, lenA, B, lenB, invB, p);
else
return _fmpz_mod_poly_xgcd_hgcd(G, S, T, A, lenA, B, lenB, p);
}
FMPZ_MOD_POLY_INLINE slong
_fmpz_mod_poly_xgcd_f(fmpz_t f, fmpz *G, fmpz *S, fmpz *T,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t invB, const fmpz_t p)
{
return _fmpz_mod_poly_xgcd_euclidean_f(f, G, S, T, A, lenA, B, lenB, invB, p);
}
FMPZ_MOD_POLY_INLINE void
fmpz_mod_poly_xgcd(fmpz_mod_poly_t G, fmpz_mod_poly_t S, fmpz_mod_poly_t T,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
if (FLINT_MIN(A->length, B->length) < FMPZ_MOD_POLY_GCD_CUTOFF)
fmpz_mod_poly_xgcd_euclidean(G, S, T, A, B);
else
fmpz_mod_poly_xgcd_hgcd(G, S, T, A, B);
}
FMPZ_MOD_POLY_INLINE void
fmpz_mod_poly_xgcd_f(fmpz_t f, fmpz_mod_poly_t G, fmpz_mod_poly_t S, fmpz_mod_poly_t T,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B)
{
fmpz_mod_poly_xgcd_euclidean_f(f, G, S, T, A, B);
}
FLINT_DLL slong _fmpz_mod_poly_gcdinv(fmpz *G, fmpz *S,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_gcdinv(fmpz_mod_poly_t G, fmpz_mod_poly_t S,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL slong _fmpz_mod_poly_gcdinv_f(fmpz_t f, fmpz *G, fmpz *S,
const fmpz *A, slong lenA, const fmpz *B, slong lenB,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_gcdinv_f(fmpz_t f, fmpz_mod_poly_t G, fmpz_mod_poly_t S,
const fmpz_mod_poly_t A, const fmpz_mod_poly_t B);
FLINT_DLL int _fmpz_mod_poly_invmod(fmpz *A,
const fmpz *B, slong lenB,
const fmpz *P, slong lenP, const fmpz_t p);
FLINT_DLL int _fmpz_mod_poly_invmod_f(fmpz_t f, fmpz *A,
const fmpz *B, slong lenB,
const fmpz *P, slong lenP, const fmpz_t p);
FLINT_DLL int fmpz_mod_poly_invmod(fmpz_mod_poly_t A,
const fmpz_mod_poly_t B, const fmpz_mod_poly_t P);
FLINT_DLL int fmpz_mod_poly_invmod_f(fmpz_t f, fmpz_mod_poly_t A,
const fmpz_mod_poly_t B, const fmpz_mod_poly_t P);
/* Resultant ***************************************************************/
FLINT_DLL void _fmpz_mod_poly_resultant_euclidean(fmpz_t res,
const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_resultant_euclidean(fmpz_t r, const fmpz_mod_poly_t f,
const fmpz_mod_poly_t g);
FLINT_DLL void _fmpz_mod_poly_resultant_hgcd(fmpz_t res, const fmpz *A, slong lenA,
const fmpz *B, slong lenB, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_resultant_hgcd(fmpz_t res, const fmpz_mod_poly_t A,
const fmpz_mod_poly_t B);
FMPZ_MOD_POLY_INLINE void
_fmpz_mod_poly_resultant(fmpz_t res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2, const fmpz_t mod)
{
if (len1 < FMPZ_MOD_POLY_GCD_CUTOFF)
_fmpz_mod_poly_resultant_euclidean(res, poly1, len1, poly2, len2, mod);
else
_fmpz_mod_poly_resultant_hgcd(res, poly1, len1, poly2, len2, mod);
}
FMPZ_MOD_POLY_INLINE void
fmpz_mod_poly_resultant(fmpz_t res, const fmpz_mod_poly_t f,
const fmpz_mod_poly_t g)
{
if (FLINT_MAX(f->length, g->length) < FMPZ_MOD_POLY_GCD_CUTOFF)
fmpz_mod_poly_resultant_euclidean(res, f, g);
else
fmpz_mod_poly_resultant_hgcd(res, f, g);
}
/* Discriminant ************************************************************/
FLINT_DLL void _fmpz_mod_poly_discriminant(fmpz_t d, const fmpz *poly,
slong len, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_discriminant(fmpz_t d, const fmpz_mod_poly_t f);
/* Derivative **************************************************************/
FLINT_DLL void _fmpz_mod_poly_derivative(fmpz *res, const fmpz *poly, slong len,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_derivative(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly);
/* Evaluation **************************************************************/
FLINT_DLL void _fmpz_mod_poly_evaluate_fmpz(fmpz_t res, const fmpz *poly, slong len,
const fmpz_t a, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_evaluate_fmpz(fmpz_t res,
const fmpz_mod_poly_t poly, const fmpz_t a);
FLINT_DLL fmpz_poly_struct ** _fmpz_mod_poly_tree_alloc(slong len);
FLINT_DLL void _fmpz_mod_poly_tree_free(fmpz_poly_struct ** tree, slong len);
FLINT_DLL void _fmpz_mod_poly_tree_build(fmpz_poly_struct ** tree,
const fmpz * roots, slong len, const fmpz_t mod);
FLINT_DLL void _fmpz_mod_poly_evaluate_fmpz_vec_iter(fmpz * ys, const fmpz * coeffs,
slong len, const fmpz * xs, slong n, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_evaluate_fmpz_vec_iter(fmpz * ys,
const fmpz_mod_poly_t poly, const fmpz * xs, slong n);
FLINT_DLL void _fmpz_mod_poly_evaluate_fmpz_vec_fast_precomp(fmpz * vs,
const fmpz * poly, slong plen, fmpz_poly_struct * const * tree,
slong len, const fmpz_t mod);
FLINT_DLL void _fmpz_mod_poly_evaluate_fmpz_vec_fast(fmpz * ys,
const fmpz * poly, slong plen, const fmpz * xs, slong n, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_evaluate_fmpz_vec_fast(fmpz * ys,
const fmpz_mod_poly_t poly, const fmpz * xs, slong n);
FLINT_DLL void _fmpz_mod_poly_evaluate_fmpz_vec(fmpz * ys, const fmpz * coeffs,
slong len, const fmpz * xs, slong n, const fmpz_t mod);
FLINT_DLL void fmpz_mod_poly_evaluate_fmpz_vec(fmpz * ys,
const fmpz_mod_poly_t poly, const fmpz * xs, slong n);
/* Composition *************************************************************/
FLINT_DLL void _fmpz_mod_poly_compose_horner(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_horner(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2);
FLINT_DLL void _fmpz_mod_poly_compose_divconquer(fmpz *res,
const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2,
const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_divconquer(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2);
FMPZ_MOD_POLY_INLINE
void _fmpz_mod_poly_compose(fmpz *res, const fmpz *poly1, slong len1,
const fmpz *poly2, slong len2,
const fmpz_t p)
{
_fmpz_mod_poly_compose_divconquer(res, poly1, len1, poly2, len2, p);
}
FMPZ_MOD_POLY_INLINE
void fmpz_mod_poly_compose(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2)
{
fmpz_mod_poly_compose_divconquer(res, poly1, poly2);
}
/* Modular composition ******************************************************/
FLINT_DLL void _fmpz_mod_poly_compose_mod(fmpz * res, const fmpz * f, slong lenf, const fmpz * g,
const fmpz * h, slong lenh, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_mod(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, const fmpz_mod_poly_t poly3);
FLINT_DLL void _fmpz_mod_poly_compose_mod_brent_kung(fmpz * res, const fmpz * poly1, slong len1,
const fmpz * poly2, const fmpz * poly3, slong len3, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_mod_brent_kung(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, const fmpz_mod_poly_t poly3);
FLINT_DLL void _fmpz_mod_poly_reduce_matrix_mod_poly (fmpz_mat_t A, const fmpz_mat_t B,
const fmpz_mod_poly_t f);
FLINT_DLL void _fmpz_mod_poly_precompute_matrix (fmpz_mat_t A, const fmpz * poly1,
const fmpz * poly2, slong len2, const fmpz * poly2inv,
slong len2inv, const fmpz_t p);
FLINT_DLL void * _fmpz_mod_poly_precompute_matrix_worker(void * arg_ptr);
FLINT_DLL void fmpz_mod_poly_precompute_matrix(fmpz_mat_t A, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, const fmpz_mod_poly_t poly2inv);
FLINT_DLL void _fmpz_mod_poly_compose_mod_brent_kung_precomp_preinv(fmpz * res,
const fmpz * poly1, slong len1, const fmpz_mat_t A, const fmpz * poly3,
slong len3, const fmpz * poly3inv, slong len3inv, const fmpz_t p);
FLINT_DLL void * _fmpz_mod_poly_compose_mod_brent_kung_precomp_preinv_worker(void * arg_ptr);
FLINT_DLL void fmpz_mod_poly_compose_mod_brent_kung_precomp_preinv(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mat_t A,
const fmpz_mod_poly_t poly3, const fmpz_mod_poly_t poly3inv);
FLINT_DLL void _fmpz_mod_poly_compose_mod_brent_kung_preinv(fmpz * res, const fmpz * poly1,
slong len1, const fmpz * poly2, const fmpz * poly3, slong len3,
const fmpz * poly3inv, slong len3inv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_mod_brent_kung_preinv(fmpz_mod_poly_t res,
const fmpz_mod_poly_t poly1, const fmpz_mod_poly_t poly2,
const fmpz_mod_poly_t poly3, const fmpz_mod_poly_t poly3inv);
FLINT_DLL void _fmpz_mod_poly_compose_mod_horner(fmpz * res, const fmpz * f, slong lenf, const fmpz * g,
const fmpz * h, slong lenh, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_mod_horner(fmpz_mod_poly_t res, const fmpz_mod_poly_t poly1,
const fmpz_mod_poly_t poly2, const fmpz_mod_poly_t poly3);
FLINT_DLL void _fmpz_mod_poly_compose_mod_brent_kung_vec_preinv(fmpz_mod_poly_struct * res,
const fmpz_mod_poly_struct * polys, slong len1, slong l,
const fmpz * poly, slong len, const fmpz * polyinv,
slong leninv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_mod_brent_kung_vec_preinv(fmpz_mod_poly_struct * res,
const fmpz_mod_poly_struct * polys, slong len1, slong n,
const fmpz_mod_poly_t poly, const fmpz_mod_poly_t polyinv);
FLINT_DLL void _fmpz_mod_poly_compose_mod_brent_kung_vec_preinv_threaded(fmpz_mod_poly_struct * res,
const fmpz_mod_poly_struct *
polys, slong lenpolys,
slong l, const fmpz * poly,
slong len,
const fmpz * polyinv,
slong leninv, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_compose_mod_brent_kung_vec_preinv_threaded(fmpz_mod_poly_struct * res,
const fmpz_mod_poly_struct *
polys, slong len1, slong n,
const fmpz_mod_poly_t poly,
const fmpz_mod_poly_t polyinv);
/* Radix conversion *********************************************************/
typedef struct {
fmpz *V;
fmpz *W;
fmpz **Rpow;
fmpz **Rinv;
slong degR;
slong k;
fmpz invL;
} fmpz_mod_poly_radix_struct;
typedef fmpz_mod_poly_radix_struct fmpz_mod_poly_radix_t[1];
FLINT_DLL void _fmpz_mod_poly_radix_init(fmpz **Rpow, fmpz **Rinv,
const fmpz *R, slong lenR, slong k,
const fmpz_t invL, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_radix_init(fmpz_mod_poly_radix_t D,
const fmpz_mod_poly_t R, slong degF);
FLINT_DLL void fmpz_mod_poly_radix_clear(fmpz_mod_poly_radix_t D);
FLINT_DLL void _fmpz_mod_poly_radix(fmpz **B, const fmpz *F, fmpz **Rpow, fmpz **Rinv,
slong degR, slong k, slong i, fmpz *W, const fmpz_t p);
FLINT_DLL void fmpz_mod_poly_radix(fmpz_mod_poly_struct **B, const fmpz_mod_poly_t F,
const fmpz_mod_poly_radix_t D);
/* Input and output *********************************************************/
FLINT_DLL int _fmpz_mod_poly_fprint(FILE * file, const fmpz *poly, slong len,
const fmpz_t p);
FLINT_DLL int fmpz_mod_poly_fprint(FILE * file, const fmpz_mod_poly_t poly);
FLINT_DLL int fmpz_mod_poly_fread(FILE * file, fmpz_mod_poly_t poly);
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_fprint_pretty(FILE * file,
const fmpz_mod_poly_t poly, const char * x)
{
return _fmpz_poly_fprint_pretty(file, poly->coeffs, poly->length, x);
}
FMPZ_MOD_POLY_INLINE
int _fmpz_mod_poly_print(const fmpz *poly, slong len, const fmpz_t p)
{
return _fmpz_mod_poly_fprint(stdout, poly, len, p);
}
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_print(const fmpz_mod_poly_t poly)
{
return fmpz_mod_poly_fprint(stdout, poly);
}
FMPZ_MOD_POLY_INLINE
int fmpz_mod_poly_print_pretty(const fmpz_mod_poly_t poly, const char * x)
{
return fmpz_mod_poly_fprint_pretty(stdout, poly, x);
}
#ifdef __cplusplus
}
#endif
#include "fmpz_mod_poly_factor.h"
#endif
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