241 lines
8.1 KiB
C
241 lines
8.1 KiB
C
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/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Fredrik Johansson
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******************************************************************************/
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#ifndef POLY_MAT_H
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#define POLY_MAT_H
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#include <gmp.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_mat.h"
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#include "fmpz_poly.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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/* Types *********************************************************************/
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typedef struct
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{
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fmpz_poly_struct * entries;
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slong r;
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slong c;
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fmpz_poly_struct ** rows;
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} fmpz_poly_mat_struct;
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typedef fmpz_poly_mat_struct fmpz_poly_mat_t[1];
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#define fmpz_poly_mat_entry(mat,i,j) ((mat)->rows[(i)] + (j))
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/* Memory management *********************************************************/
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void fmpz_poly_mat_init(fmpz_poly_mat_t mat, slong rows, slong cols);
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void fmpz_poly_mat_init_set(fmpz_poly_mat_t mat, const fmpz_poly_mat_t src);
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void fmpz_poly_mat_swap(fmpz_poly_mat_t mat1, fmpz_poly_mat_t mat2);
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void fmpz_poly_mat_set(fmpz_poly_mat_t mat1, const fmpz_poly_mat_t mat2);
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void fmpz_poly_mat_clear(fmpz_poly_mat_t mat);
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/* Basic properties **********************************************************/
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static __inline__ slong
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fmpz_poly_mat_nrows(const fmpz_poly_mat_t mat)
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{
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return mat->r;
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}
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static __inline__ slong
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fmpz_poly_mat_ncols(const fmpz_poly_mat_t mat)
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{
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return mat->c;
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}
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/* Comparison ****************************************************************/
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int fmpz_poly_mat_equal(const fmpz_poly_mat_t mat1,
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const fmpz_poly_mat_t mat2);
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int fmpz_poly_mat_is_zero(const fmpz_poly_mat_t mat);
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int fmpz_poly_mat_is_one(const fmpz_poly_mat_t mat);
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static __inline__ int
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fmpz_poly_mat_is_empty(const fmpz_poly_mat_t mat)
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{
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return (mat->r == 0) || (mat->c == 0);
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}
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static __inline__ int
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fmpz_poly_mat_is_square(const fmpz_poly_mat_t mat)
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{
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return (mat->r == mat->c);
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}
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/* Standard matrices *********************************************************/
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void fmpz_poly_mat_zero(fmpz_poly_mat_t mat);
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void fmpz_poly_mat_one(fmpz_poly_mat_t mat);
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/* Random matrices ***********************************************************/
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void fmpz_poly_mat_randtest(fmpz_poly_mat_t mat, flint_rand_t state,
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slong len, mp_bitcnt_t bits);
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void fmpz_poly_mat_randtest_unsigned(fmpz_poly_mat_t mat, flint_rand_t state,
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slong len, mp_bitcnt_t bits);
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void fmpz_poly_mat_randtest_sparse(fmpz_poly_mat_t A, flint_rand_t state,
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slong len, mp_bitcnt_t bits, float density);
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/* Input and output **********************************************************/
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void fmpz_poly_mat_print(const fmpz_poly_mat_t mat, const char * x);
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/* Norms *********************************************************************/
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slong fmpz_poly_mat_max_bits(const fmpz_poly_mat_t A);
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slong fmpz_poly_mat_max_length(const fmpz_poly_mat_t A);
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/* Transpose *****************************************************************/
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void fmpz_poly_mat_transpose(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
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/* Truncation ****************************************************************/
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void fmpz_poly_mat_truncate(fmpz_poly_mat_t A, slong len);
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/* Scalar arithmetic *********************************************************/
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void fmpz_poly_mat_scalar_mul_fmpz_poly(fmpz_poly_mat_t B,
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const fmpz_poly_mat_t A, const fmpz_poly_t c);
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void fmpz_poly_mat_scalar_mul_fmpz(fmpz_poly_mat_t B,
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const fmpz_poly_mat_t A, const fmpz_t c);
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/* Matrix arithmetic *********************************************************/
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void fmpz_poly_mat_add(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
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const fmpz_poly_mat_t B);
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void fmpz_poly_mat_sub(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
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const fmpz_poly_mat_t B);
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void fmpz_poly_mat_neg(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
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void fmpz_poly_mat_mul(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
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const fmpz_poly_mat_t B);
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void fmpz_poly_mat_mul_classical(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
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const fmpz_poly_mat_t B);
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void fmpz_poly_mat_mul_KS(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
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const fmpz_poly_mat_t B);
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void fmpz_poly_mat_mullow(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
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const fmpz_poly_mat_t B, slong len);
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void fmpz_poly_mat_sqr(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
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void fmpz_poly_mat_sqr_classical(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
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void fmpz_poly_mat_sqr_KS(fmpz_poly_mat_t B, const fmpz_poly_mat_t A);
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void fmpz_poly_mat_sqrlow(fmpz_poly_mat_t B, const fmpz_poly_mat_t A, slong len);
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void fmpz_poly_mat_pow(fmpz_poly_mat_t B, const fmpz_poly_mat_t A, ulong exp);
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void
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fmpz_poly_mat_pow_trunc(fmpz_poly_mat_t B, const fmpz_poly_mat_t A, ulong exp,
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slong len);
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void fmpz_poly_mat_prod(fmpz_poly_mat_t res,
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fmpz_poly_mat_t * const factors, slong n);
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/* Evaluation ****************************************************************/
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void fmpz_poly_mat_evaluate_fmpz(fmpz_mat_t B,
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const fmpz_poly_mat_t A, const fmpz_t x);
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/* Row reduction *************************************************************/
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slong fmpz_poly_mat_find_pivot_any(const fmpz_poly_mat_t mat,
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slong start_row, slong end_row, slong c);
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slong fmpz_poly_mat_find_pivot_partial(const fmpz_poly_mat_t mat,
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slong start_row, slong end_row, slong c);
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slong fmpz_poly_mat_fflu(fmpz_poly_mat_t B, fmpz_poly_t den, slong * perm,
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const fmpz_poly_mat_t A, int rank_check);
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slong fmpz_poly_mat_rref(fmpz_poly_mat_t B, fmpz_poly_t den,
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const fmpz_poly_mat_t A);
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/* Trace *********************************************************************/
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void fmpz_poly_mat_trace(fmpz_poly_t trace, const fmpz_poly_mat_t mat);
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/* Determinant and rank ******************************************************/
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void fmpz_poly_mat_det(fmpz_poly_t det, const fmpz_poly_mat_t A);
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void fmpz_poly_mat_det_fflu(fmpz_poly_t det, const fmpz_poly_mat_t A);
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void fmpz_poly_mat_det_interpolate(fmpz_poly_t det, const fmpz_poly_mat_t A);
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slong fmpz_poly_mat_rank(const fmpz_poly_mat_t A);
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/* Inverse *******************************************************************/
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int fmpz_poly_mat_inv(fmpz_poly_mat_t Ainv, fmpz_poly_t den,
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const fmpz_poly_mat_t A);
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/* Nullspace *****************************************************************/
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slong fmpz_poly_mat_nullspace(fmpz_poly_mat_t res, const fmpz_poly_mat_t mat);
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/* Solving *******************************************************************/
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int fmpz_poly_mat_solve(fmpz_poly_mat_t X, fmpz_poly_t den,
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const fmpz_poly_mat_t A, const fmpz_poly_mat_t B);
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int fmpz_poly_mat_solve_fflu(fmpz_poly_mat_t X, fmpz_poly_t den,
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const fmpz_poly_mat_t A, const fmpz_poly_mat_t B);
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void fmpz_poly_mat_solve_fflu_precomp(fmpz_poly_mat_t X,
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const slong * perm,
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const fmpz_poly_mat_t FFLU, const fmpz_poly_mat_t B);
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#ifdef __cplusplus
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}
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#endif
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#endif
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