241 lines
8.1 KiB
C
241 lines
8.1 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 POLY_MAT_H
|
|
#define POLY_MAT_H
|
|
|
|
#include <gmp.h>
|
|
#include "flint.h"
|
|
#include "fmpz.h"
|
|
#include "fmpz_mat.h"
|
|
#include "fmpz_poly.h"
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
|
|
/* Types *********************************************************************/
|
|
|
|
typedef struct
|
|
{
|
|
fmpz_poly_struct * entries;
|
|
slong r;
|
|
slong c;
|
|
fmpz_poly_struct ** rows;
|
|
} fmpz_poly_mat_struct;
|
|
|
|
typedef fmpz_poly_mat_struct fmpz_poly_mat_t[1];
|
|
|
|
#define fmpz_poly_mat_entry(mat,i,j) ((mat)->rows[(i)] + (j))
|
|
|
|
/* Memory management *********************************************************/
|
|
|
|
void fmpz_poly_mat_init(fmpz_poly_mat_t mat, slong rows, slong cols);
|
|
|
|
void fmpz_poly_mat_init_set(fmpz_poly_mat_t mat, const fmpz_poly_mat_t src);
|
|
|
|
void fmpz_poly_mat_swap(fmpz_poly_mat_t mat1, fmpz_poly_mat_t mat2);
|
|
|
|
void fmpz_poly_mat_set(fmpz_poly_mat_t mat1, const fmpz_poly_mat_t mat2);
|
|
|
|
void fmpz_poly_mat_clear(fmpz_poly_mat_t mat);
|
|
|
|
/* Basic properties **********************************************************/
|
|
|
|
static __inline__ slong
|
|
fmpz_poly_mat_nrows(const fmpz_poly_mat_t mat)
|
|
{
|
|
return mat->r;
|
|
}
|
|
|
|
static __inline__ slong
|
|
fmpz_poly_mat_ncols(const fmpz_poly_mat_t mat)
|
|
{
|
|
return mat->c;
|
|
}
|
|
|
|
/* Comparison ****************************************************************/
|
|
|
|
int fmpz_poly_mat_equal(const fmpz_poly_mat_t mat1,
|
|
const fmpz_poly_mat_t mat2);
|
|
|
|
int fmpz_poly_mat_is_zero(const fmpz_poly_mat_t mat);
|
|
|
|
int fmpz_poly_mat_is_one(const fmpz_poly_mat_t mat);
|
|
|
|
static __inline__ int
|
|
fmpz_poly_mat_is_empty(const fmpz_poly_mat_t mat)
|
|
{
|
|
return (mat->r == 0) || (mat->c == 0);
|
|
}
|
|
|
|
static __inline__ int
|
|
fmpz_poly_mat_is_square(const fmpz_poly_mat_t mat)
|
|
{
|
|
return (mat->r == mat->c);
|
|
}
|
|
|
|
/* Standard matrices *********************************************************/
|
|
|
|
void fmpz_poly_mat_zero(fmpz_poly_mat_t mat);
|
|
|
|
void fmpz_poly_mat_one(fmpz_poly_mat_t mat);
|
|
|
|
/* Random matrices ***********************************************************/
|
|
|
|
void fmpz_poly_mat_randtest(fmpz_poly_mat_t mat, flint_rand_t state,
|
|
slong len, mp_bitcnt_t bits);
|
|
|
|
void fmpz_poly_mat_randtest_unsigned(fmpz_poly_mat_t mat, flint_rand_t state,
|
|
slong len, mp_bitcnt_t bits);
|
|
|
|
void fmpz_poly_mat_randtest_sparse(fmpz_poly_mat_t A, flint_rand_t state,
|
|
slong len, mp_bitcnt_t bits, float density);
|
|
|
|
/* Input and output **********************************************************/
|
|
|
|
void fmpz_poly_mat_print(const fmpz_poly_mat_t mat, const char * x);
|
|
|
|
/* Norms *********************************************************************/
|
|
|
|
slong fmpz_poly_mat_max_bits(const fmpz_poly_mat_t A);
|
|
|
|
slong fmpz_poly_mat_max_length(const fmpz_poly_mat_t A);
|
|
|
|
/* Transpose *****************************************************************/
|
|
|
|
void fmpz_poly_mat_transpose(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
|
|
|
|
/* Truncation ****************************************************************/
|
|
|
|
void fmpz_poly_mat_truncate(fmpz_poly_mat_t A, slong len);
|
|
|
|
/* Scalar arithmetic *********************************************************/
|
|
|
|
void fmpz_poly_mat_scalar_mul_fmpz_poly(fmpz_poly_mat_t B,
|
|
const fmpz_poly_mat_t A, const fmpz_poly_t c);
|
|
|
|
void fmpz_poly_mat_scalar_mul_fmpz(fmpz_poly_mat_t B,
|
|
const fmpz_poly_mat_t A, const fmpz_t c);
|
|
|
|
/* Matrix arithmetic *********************************************************/
|
|
|
|
void fmpz_poly_mat_add(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
|
|
const fmpz_poly_mat_t B);
|
|
|
|
void fmpz_poly_mat_sub(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
|
|
const fmpz_poly_mat_t B);
|
|
|
|
void fmpz_poly_mat_neg(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
|
|
|
|
void fmpz_poly_mat_mul(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
|
|
const fmpz_poly_mat_t B);
|
|
|
|
void fmpz_poly_mat_mul_classical(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
|
|
const fmpz_poly_mat_t B);
|
|
|
|
void fmpz_poly_mat_mul_KS(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
|
|
const fmpz_poly_mat_t B);
|
|
|
|
void fmpz_poly_mat_mullow(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
|
|
const fmpz_poly_mat_t B, slong len);
|
|
|
|
void fmpz_poly_mat_sqr(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
|
|
|
|
void fmpz_poly_mat_sqr_classical(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
|
|
|
|
void fmpz_poly_mat_sqr_KS(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
|
|
|
|
void fmpz_poly_mat_sqrlow(fmpz_poly_mat_t B, const fmpz_poly_mat_t A, slong len);
|
|
|
|
void fmpz_poly_mat_pow(fmpz_poly_mat_t B, const fmpz_poly_mat_t A, ulong exp);
|
|
|
|
void
|
|
fmpz_poly_mat_pow_trunc(fmpz_poly_mat_t B, const fmpz_poly_mat_t A, ulong exp,
|
|
slong len);
|
|
|
|
void fmpz_poly_mat_prod(fmpz_poly_mat_t res,
|
|
fmpz_poly_mat_t * const factors, slong n);
|
|
|
|
/* Evaluation ****************************************************************/
|
|
|
|
void fmpz_poly_mat_evaluate_fmpz(fmpz_mat_t B,
|
|
const fmpz_poly_mat_t A, const fmpz_t x);
|
|
|
|
/* Row reduction *************************************************************/
|
|
|
|
slong fmpz_poly_mat_find_pivot_any(const fmpz_poly_mat_t mat,
|
|
slong start_row, slong end_row, slong c);
|
|
|
|
slong fmpz_poly_mat_find_pivot_partial(const fmpz_poly_mat_t mat,
|
|
slong start_row, slong end_row, slong c);
|
|
|
|
slong fmpz_poly_mat_fflu(fmpz_poly_mat_t B, fmpz_poly_t den, slong * perm,
|
|
const fmpz_poly_mat_t A, int rank_check);
|
|
|
|
slong fmpz_poly_mat_rref(fmpz_poly_mat_t B, fmpz_poly_t den,
|
|
const fmpz_poly_mat_t A);
|
|
|
|
/* Trace *********************************************************************/
|
|
|
|
void fmpz_poly_mat_trace(fmpz_poly_t trace, const fmpz_poly_mat_t mat);
|
|
|
|
/* Determinant and rank ******************************************************/
|
|
|
|
void fmpz_poly_mat_det(fmpz_poly_t det, const fmpz_poly_mat_t A);
|
|
|
|
void fmpz_poly_mat_det_fflu(fmpz_poly_t det, const fmpz_poly_mat_t A);
|
|
|
|
void fmpz_poly_mat_det_interpolate(fmpz_poly_t det, const fmpz_poly_mat_t A);
|
|
|
|
slong fmpz_poly_mat_rank(const fmpz_poly_mat_t A);
|
|
|
|
/* Inverse *******************************************************************/
|
|
|
|
int fmpz_poly_mat_inv(fmpz_poly_mat_t Ainv, fmpz_poly_t den,
|
|
const fmpz_poly_mat_t A);
|
|
|
|
/* Nullspace *****************************************************************/
|
|
|
|
slong fmpz_poly_mat_nullspace(fmpz_poly_mat_t res, const fmpz_poly_mat_t mat);
|
|
|
|
/* Solving *******************************************************************/
|
|
|
|
int fmpz_poly_mat_solve(fmpz_poly_mat_t X, fmpz_poly_t den,
|
|
const fmpz_poly_mat_t A, const fmpz_poly_mat_t B);
|
|
|
|
int fmpz_poly_mat_solve_fflu(fmpz_poly_mat_t X, fmpz_poly_t den,
|
|
const fmpz_poly_mat_t A, const fmpz_poly_mat_t B);
|
|
|
|
void fmpz_poly_mat_solve_fflu_precomp(fmpz_poly_mat_t X,
|
|
const slong * perm,
|
|
const fmpz_poly_mat_t FFLU, const fmpz_poly_mat_t B);
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif
|