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padic_mat.h
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padic_mat.h
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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
******************************************************************************/
#ifndef PADIC_MAT_H
#define PADIC_MAT_H
#undef ulong /* interferes with system includes */
#include <stdio.h>
#define ulong unsigned long
#include <mpir.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_mat.h"
#include "fmpq_mat.h"
#include "padic.h"
typedef struct
{
fmpz_mat_struct mat;
long val;
} padic_mat_struct;
typedef padic_mat_struct padic_mat_t[1];
/* Macros *******************************************************************/
#define padic_mat(A) (&((A)->mat))
#define padic_mat_unit(A, i, j) ((A)->mat.rows[i] + (j))
#define padic_mat_val(A) ((A)->val)
#define padic_mat_nrows(A) (((A)->mat).r)
#define padic_mat_ncols(A) (((A)->mat).c)
/* Memory management ********************************************************/
void padic_mat_init(padic_mat_t A, long r, long c);
void padic_mat_clear(padic_mat_t A);
void _padic_mat_canonicalise(padic_mat_t A, const padic_ctx_t ctx);
void _padic_mat_reduce(padic_mat_t A, const padic_ctx_t ctx);
void padic_mat_reduce(padic_mat_t A, const padic_ctx_t ctx);
static __inline__ int
padic_mat_is_empty(const padic_mat_t A)
{
return fmpz_mat_is_empty(padic_mat(A));
}
static __inline__ int
padic_mat_is_square(const padic_mat_t A)
{
return fmpz_mat_is_square(padic_mat(A));
}
static __inline__ int
_padic_mat_is_canonical(const padic_mat_t A, const fmpz_t p)
{
if (fmpz_mat_is_zero(padic_mat(A)))
{
return (padic_mat_val(A) == 0);
}
else
{
long i, j;
int canonical = 0;
for (i = 0; i < padic_mat(A)->r; i++)
for (j = 0; j < padic_mat(A)->c; j++)
if (!fmpz_divisible(padic_mat_unit(A, i, j), p))
canonical = 1;
return canonical;
}
}
/* Basic assignment **********************************************************/
void padic_mat_set(padic_mat_t B, const padic_mat_t A);
void padic_mat_swap(padic_mat_t A, padic_mat_t B);
void padic_mat_zero(padic_mat_t A);
void _padic_mat_one(padic_mat_t A);
void padic_mat_one(padic_mat_t A, const padic_ctx_t ctx);
/* Conversions ***************************************************************/
void padic_mat_set_fmpq_mat(padic_mat_t B,
const fmpq_mat_t A, const padic_ctx_t ctx);
void padic_mat_get_fmpq_mat(fmpq_mat_t B,
const padic_mat_t A, const padic_ctx_t ctx);
/* Entries *******************************************************************/
void padic_mat_get_entry_padic(padic_t rop,
const padic_mat_t op, long i, long j,
const padic_ctx_t ctx);
void padic_mat_set_entry_padic(padic_mat_t rop, long i, long j,
const padic_t op, const padic_ctx_t ctx);
/* Comparison ****************************************************************/
int padic_mat_equal(const padic_mat_t A, const padic_mat_t B);
int padic_mat_is_zero(const padic_mat_t A);
/* Input and output *********************************************************/
int padic_mat_fprint(FILE * file,
const padic_mat_t A, const padic_ctx_t ctx);
int padic_mat_fprint_pretty(FILE * file, const padic_mat_t A,
const padic_ctx_t ctx);
static __inline__
int padic_mat_print(const padic_mat_t A, const padic_ctx_t ctx)
{
return padic_mat_fprint(stdout, A, ctx);
}
static __inline__
int padic_mat_print_pretty(const padic_mat_t A, const padic_ctx_t ctx)
{
return padic_mat_fprint_pretty(stdout, A, ctx);
}
/* Random matrix generation *************************************************/
void padic_mat_randtest(padic_mat_t mat, flint_rand_t state,
const padic_ctx_t ctx);
/* Transpose *****************************************************************/
void padic_mat_transpose(padic_mat_t B, const padic_mat_t A);
/* Addition and subtraction **************************************************/
void _padic_mat_add(padic_mat_t C, const padic_mat_t A, const padic_mat_t B,
const padic_ctx_t ctx);
void padic_mat_add(padic_mat_t C, const padic_mat_t A, const padic_mat_t B,
const padic_ctx_t ctx);
void _padic_mat_sub(padic_mat_t C, const padic_mat_t A, const padic_mat_t B,
const padic_ctx_t ctx);
void padic_mat_sub(padic_mat_t C, const padic_mat_t A, const padic_mat_t B,
const padic_ctx_t ctx);
void _padic_mat_neg(padic_mat_t B, const padic_mat_t A);
void padic_mat_neg(padic_mat_t B, const padic_mat_t A, const padic_ctx_t ctx);
/* Scalar operations *********************************************************/
void _padic_mat_scalar_mul_padic(padic_mat_t B,
const padic_mat_t A, const padic_t c,
const padic_ctx_t ctx);
void padic_mat_scalar_mul_padic(padic_mat_t B,
const padic_mat_t A, const padic_t c,
const padic_ctx_t ctx);
void _padic_mat_scalar_mul_fmpz(padic_mat_t B,
const padic_mat_t A, const fmpz_t c,
const padic_ctx_t ctx);
void padic_mat_scalar_mul_fmpz(padic_mat_t B,
const padic_mat_t A, const fmpz_t c,
const padic_ctx_t ctx);
void padic_mat_scalar_div_fmpz(padic_mat_t B,
const padic_mat_t A, const fmpz_t c,
const padic_ctx_t ctx);
/* Multiplication ************************************************************/
void _padic_mat_mul(padic_mat_t C, const padic_mat_t A, const padic_mat_t B,
const padic_ctx_t ctx);
void padic_mat_mul(padic_mat_t C, const padic_mat_t A, const padic_mat_t B,
const padic_ctx_t ctx);
#endif