194 lines
5.8 KiB
C
194 lines
5.8 KiB
C
/*=============================================================================
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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 FMPQ_MAT_H
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#define FMPQ_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 "fmpq.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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typedef struct
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{
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fmpq * entries;
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slong r;
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slong c;
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fmpq ** rows;
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} fmpq_mat_struct;
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typedef fmpq_mat_struct fmpq_mat_t[1];
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#define fmpq_mat_entry(mat,i,j) ((mat)->rows[(i)] + (j))
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#define fmpq_mat_entry_num(mat,i,j) ((fmpz *)(&((*fmpq_mat_entry(mat,i,j)).num)))
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#define fmpq_mat_entry_den(mat,i,j) ((fmpz *)(&((*fmpq_mat_entry(mat,i,j)).den)))
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#define fmpq_mat_nrows(mat) ((mat)->r)
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#define fmpq_mat_ncols(mat) ((mat)->c)
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void fmpq_mat_init(fmpq_mat_t mat, slong rows, slong cols);
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void fmpq_mat_clear(fmpq_mat_t mat);
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void fmpq_mat_print(const fmpq_mat_t mat);
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/* Random matrix generation **************************************************/
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void fmpq_mat_randbits(fmpq_mat_t mat, flint_rand_t state, mp_bitcnt_t bits);
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void fmpq_mat_randtest(fmpq_mat_t mat, flint_rand_t state, mp_bitcnt_t bits);
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/* Special matrices **********************************************************/
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void fmpq_mat_hilbert_matrix(fmpq_mat_t mat);
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/* Basic assignment **********************************************************/
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void fmpq_mat_set(fmpq_mat_t dest, const fmpq_mat_t src);
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void fmpq_mat_zero(fmpq_mat_t mat);
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void fmpq_mat_one(fmpq_mat_t mat);
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void fmpq_mat_transpose(fmpq_mat_t rop, const fmpq_mat_t op);
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/* Addition, scalar multiplication ******************************************/
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void fmpq_mat_add(fmpq_mat_t mat, const fmpq_mat_t mat1, const fmpq_mat_t mat2);
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void fmpq_mat_sub(fmpq_mat_t mat, const fmpq_mat_t mat1, const fmpq_mat_t mat2);
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void fmpq_mat_neg(fmpq_mat_t rop, const fmpq_mat_t op);
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void fmpq_mat_scalar_mul_fmpz(fmpq_mat_t rop, const fmpq_mat_t op, const fmpz_t x);
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void fmpq_mat_scalar_div_fmpz(fmpq_mat_t rop, const fmpq_mat_t op, const fmpz_t x);
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/* Basic comparison and properties *******************************************/
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int fmpq_mat_equal(const fmpq_mat_t mat1, const fmpq_mat_t mat2);
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int fmpq_mat_is_integral(const fmpq_mat_t mat);
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int fmpq_mat_is_zero(const fmpq_mat_t mat);
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static __inline__ int
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fmpq_mat_is_empty(const fmpq_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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fmpq_mat_is_square(const fmpq_mat_t mat)
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{
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return (mat->r == mat->c);
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}
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/* Integer matrix conversion *************************************************/
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int fmpq_mat_get_fmpz_mat(fmpz_mat_t dest, const fmpq_mat_t mat);
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void fmpq_mat_get_fmpz_mat_entrywise(fmpz_mat_t num, fmpz_mat_t den,
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const fmpq_mat_t mat);
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void fmpq_mat_get_fmpz_mat_matwise(fmpz_mat_t num, fmpz_t den,
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const fmpq_mat_t mat);
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void fmpq_mat_get_fmpz_mat_rowwise(fmpz_mat_t num, fmpz * den,
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const fmpq_mat_t mat);
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void fmpq_mat_get_fmpz_mat_colwise(fmpz_mat_t num, fmpz * den,
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const fmpq_mat_t mat);
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void fmpq_mat_get_fmpz_mat_rowwise_2(fmpz_mat_t num, fmpz_mat_t num2,
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fmpz * den, const fmpq_mat_t mat, const fmpq_mat_t mat2);
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void fmpq_mat_get_fmpz_mat_mod_fmpz(fmpz_mat_t dest, const fmpq_mat_t mat,
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const fmpz_t mod);
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void fmpq_mat_set_fmpz_mat(fmpq_mat_t dest, const fmpz_mat_t src);
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void fmpq_mat_set_fmpz_mat_div_fmpz(fmpq_mat_t X, const fmpz_mat_t Xmod,
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const fmpz_t div);
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int fmpq_mat_set_fmpz_mat_mod_fmpz(fmpq_mat_t X, const fmpz_mat_t Xmod,
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const fmpz_t mod);
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/* Matrix multiplication *****************************************************/
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void fmpq_mat_mul_direct(fmpq_mat_t C, const fmpq_mat_t A, const fmpq_mat_t B);
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void fmpq_mat_mul_cleared(fmpq_mat_t C, const fmpq_mat_t A,
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const fmpq_mat_t B);
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void fmpq_mat_mul(fmpq_mat_t C, const fmpq_mat_t A, const fmpq_mat_t B);
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void fmpq_mat_mul_fmpz_mat(fmpq_mat_t C, const fmpq_mat_t A,
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const fmpz_mat_t B);
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void fmpq_mat_mul_r_fmpz_mat(fmpq_mat_t C, const fmpz_mat_t A,
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const fmpq_mat_t B);
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/* Trace *********************************************************************/
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void fmpq_mat_trace(fmpq_t trace, const fmpq_mat_t mat);
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/* Determinant ***************************************************************/
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void fmpq_mat_det(fmpq_t det, const fmpq_mat_t mat);
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/* Nonsingular solving *******************************************************/
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int fmpq_mat_solve_fraction_free(fmpq_mat_t X, const fmpq_mat_t A,
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const fmpq_mat_t B);
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int fmpq_mat_solve_dixon(fmpq_mat_t X, const fmpq_mat_t A, const fmpq_mat_t B);
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/* Inverse *******************************************************************/
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int fmpq_mat_inv(fmpq_mat_t B, const fmpq_mat_t A);
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/* Echelon form **************************************************************/
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int fmpq_mat_pivot(slong * perm, fmpq_mat_t mat, slong r, slong c);
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slong fmpq_mat_rref_classical(fmpq_mat_t B, const fmpq_mat_t A);
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slong fmpq_mat_rref_fraction_free(fmpq_mat_t B, const fmpq_mat_t A);
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slong fmpq_mat_rref(fmpq_mat_t B, const fmpq_mat_t A);
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#ifdef __cplusplus
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}
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#endif
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#endif
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