pqc/external/flint-2.4.3/nmod_poly_mat.h
2014-05-24 23:16:06 +02:00

228 lines
7.4 KiB
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 Fredrik Johansson
******************************************************************************/
#ifndef NMOD_POLY_MAT_H
#define NMOD_POLY_MAT_H
#include <gmp.h>
#include "flint.h"
#include "ulong_extras.h"
#include "nmod_vec.h"
#include "nmod_poly.h"
#include "nmod_mat.h"
#ifdef __cplusplus
extern "C" {
#endif
/* Types *********************************************************************/
typedef struct
{
nmod_poly_struct * entries;
slong r;
slong c;
nmod_poly_struct ** rows;
mp_limb_t modulus;
} nmod_poly_mat_struct;
typedef nmod_poly_mat_struct nmod_poly_mat_t[1];
#define nmod_poly_mat_entry(mat,i,j) ((mat)->rows[(i)] + (j))
/* Memory management *********************************************************/
void nmod_poly_mat_init(nmod_poly_mat_t mat, slong rows, slong cols, mp_limb_t n);
void nmod_poly_mat_init_set(nmod_poly_mat_t mat, const nmod_poly_mat_t src);
void nmod_poly_mat_swap(nmod_poly_mat_t mat1, nmod_poly_mat_t mat2);
void nmod_poly_mat_set(nmod_poly_mat_t mat1, const nmod_poly_mat_t mat2);
void nmod_poly_mat_clear(nmod_poly_mat_t mat);
/* Basic properties **********************************************************/
static __inline__ slong
nmod_poly_mat_nrows(const nmod_poly_mat_t mat)
{
return mat->r;
}
static __inline__ slong
nmod_poly_mat_ncols(const nmod_poly_mat_t mat)
{
return mat->c;
}
static __inline__ mp_limb_t
nmod_poly_mat_modulus(const nmod_poly_mat_t mat)
{
return mat->modulus;
}
/* Comparison ****************************************************************/
int nmod_poly_mat_equal(const nmod_poly_mat_t mat1,
const nmod_poly_mat_t mat2);
int nmod_poly_mat_is_zero(const nmod_poly_mat_t mat);
int nmod_poly_mat_is_one(const nmod_poly_mat_t mat);
static __inline__ int
nmod_poly_mat_is_empty(const nmod_poly_mat_t mat)
{
return (mat->r == 0) || (mat->c == 0);
}
static __inline__ int
nmod_poly_mat_is_square(const nmod_poly_mat_t mat)
{
return (mat->r == mat->c);
}
/* Standard matrices *********************************************************/
void nmod_poly_mat_zero(nmod_poly_mat_t mat);
void nmod_poly_mat_one(nmod_poly_mat_t mat);
/* Random matrices ***********************************************************/
void nmod_poly_mat_randtest(nmod_poly_mat_t mat, flint_rand_t state,
slong len);
void nmod_poly_mat_randtest_sparse(nmod_poly_mat_t A, flint_rand_t state,
slong len, float density);
/* Input and output **********************************************************/
void nmod_poly_mat_print(const nmod_poly_mat_t mat, const char * x);
/* Norms *********************************************************************/
slong nmod_poly_mat_max_length(const nmod_poly_mat_t A);
/* Scalar arithmetic *********************************************************/
void nmod_poly_mat_scalar_mul_nmod_poly(nmod_poly_mat_t B,
const nmod_poly_mat_t A, const nmod_poly_t c);
void nmod_poly_mat_scalar_mul_nmod(nmod_poly_mat_t B,
const nmod_poly_mat_t A, mp_limb_t c);
/* Matrix arithmetic *********************************************************/
void nmod_poly_mat_add(nmod_poly_mat_t C, const nmod_poly_mat_t A,
const nmod_poly_mat_t B);
void nmod_poly_mat_sub(nmod_poly_mat_t C, const nmod_poly_mat_t A,
const nmod_poly_mat_t B);
void nmod_poly_mat_neg(nmod_poly_mat_t B, const nmod_poly_mat_t A);
void nmod_poly_mat_mul(nmod_poly_mat_t C, const nmod_poly_mat_t A,
const nmod_poly_mat_t B);
void nmod_poly_mat_mul_interpolate(nmod_poly_mat_t C, const nmod_poly_mat_t A,
const nmod_poly_mat_t B);
void nmod_poly_mat_mul_classical(nmod_poly_mat_t C, const nmod_poly_mat_t A,
const nmod_poly_mat_t B);
void nmod_poly_mat_mul_KS(nmod_poly_mat_t C, const nmod_poly_mat_t A,
const nmod_poly_mat_t B);
void nmod_poly_mat_sqr(nmod_poly_mat_t B, const nmod_poly_mat_t A);
void nmod_poly_mat_sqr_classical(nmod_poly_mat_t B, const nmod_poly_mat_t A);
void nmod_poly_mat_sqr_KS(nmod_poly_mat_t B, const nmod_poly_mat_t A);
void nmod_poly_mat_sqr_interpolate(nmod_poly_mat_t B, const nmod_poly_mat_t A);
void nmod_poly_mat_pow(nmod_poly_mat_t B, const nmod_poly_mat_t A, ulong exp);
/* Evaluation ****************************************************************/
void nmod_poly_mat_evaluate_nmod(nmod_mat_t B, const nmod_poly_mat_t A, mp_limb_t x);
/* Row reduction *************************************************************/
slong nmod_poly_mat_find_pivot_any(const nmod_poly_mat_t mat,
slong start_row, slong end_row, slong c);
slong nmod_poly_mat_find_pivot_partial(const nmod_poly_mat_t mat,
slong start_row, slong end_row, slong c);
slong nmod_poly_mat_fflu(nmod_poly_mat_t B, nmod_poly_t den, slong * perm,
const nmod_poly_mat_t A, int rank_check);
slong nmod_poly_mat_rref(nmod_poly_mat_t B, nmod_poly_t den,
const nmod_poly_mat_t A);
/* Trace *********************************************************************/
void nmod_poly_mat_trace(nmod_poly_t trace, const nmod_poly_mat_t mat);
/* Determinant and rank ******************************************************/
void nmod_poly_mat_det(nmod_poly_t det, const nmod_poly_mat_t A);
void nmod_poly_mat_det_fflu(nmod_poly_t det, const nmod_poly_mat_t A);
void nmod_poly_mat_det_interpolate(nmod_poly_t det, const nmod_poly_mat_t A);
slong nmod_poly_mat_rank(const nmod_poly_mat_t A);
/* Inverse *******************************************************************/
int nmod_poly_mat_inv(nmod_poly_mat_t Ainv, nmod_poly_t den,
const nmod_poly_mat_t A);
/* Nullspace *****************************************************************/
slong nmod_poly_mat_nullspace(nmod_poly_mat_t res, const nmod_poly_mat_t mat);
/* Solving *******************************************************************/
int nmod_poly_mat_solve(nmod_poly_mat_t X, nmod_poly_t den,
const nmod_poly_mat_t A, const nmod_poly_mat_t B);
int nmod_poly_mat_solve_fflu(nmod_poly_mat_t X, nmod_poly_t den,
const nmod_poly_mat_t A, const nmod_poly_mat_t B);
void nmod_poly_mat_solve_fflu_precomp(nmod_poly_mat_t X,
const slong * perm,
const nmod_poly_mat_t FFLU, const nmod_poly_mat_t B);
#ifdef __cplusplus
}
#endif
#endif