/*
Copyright (C) 2016 Arb authors
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See .
*/
#ifndef BOOL_MAT_H
#define BOOL_MAT_H
#ifdef BOOL_MAT_INLINES_C
#define BOOL_MAT_INLINE
#else
#define BOOL_MAT_INLINE static __inline__
#endif
#include
#include "flint/flint.h"
#include "flint/fmpz_mat.h"
#ifndef flint_abort
#if __FLINT_RELEASE <= 20502
#define flint_abort abort
#endif
#endif
#ifdef __cplusplus
extern "C" {
#endif
/* currently defined in the arb module, but global to the library */
double arb_test_multiplier(void);
typedef struct
{
int *entries;
slong r;
slong c;
int **rows;
}
bool_mat_struct;
typedef bool_mat_struct bool_mat_t[1];
#define bool_mat_nrows(mat) ((mat)->r)
#define bool_mat_ncols(mat) ((mat)->c)
BOOL_MAT_INLINE int
bool_mat_get_entry(const bool_mat_t mat, slong i, slong j)
{
return mat->rows[i][j];
}
BOOL_MAT_INLINE void
bool_mat_set_entry(bool_mat_t mat, slong i, slong j, int value)
{
mat->rows[i][j] = value;
}
/* Memory management */
void bool_mat_init(bool_mat_t mat, slong r, slong c);
void bool_mat_clear(bool_mat_t mat);
BOOL_MAT_INLINE void
bool_mat_swap(bool_mat_t mat1, bool_mat_t mat2)
{
bool_mat_struct t = *mat1;
*mat1 = *mat2;
*mat2 = t;
}
/* Conversions */
void bool_mat_set(bool_mat_t dest, const bool_mat_t src);
/* Random generation */
void bool_mat_randtest(bool_mat_t mat, flint_rand_t state);
void bool_mat_randtest_diagonal(bool_mat_t mat, flint_rand_t state);
void bool_mat_randtest_nilpotent(bool_mat_t mat, flint_rand_t state);
/* I/O */
void bool_mat_fprint(FILE * file, const bool_mat_t mat);
BOOL_MAT_INLINE void
bool_mat_print(const bool_mat_t mat)
{
bool_mat_fprint(stdout, mat);
}
/* Comparisons */
int bool_mat_equal(const bool_mat_t mat1, const bool_mat_t mat2);
int bool_mat_any(const bool_mat_t mat);
int bool_mat_all(const bool_mat_t mat);
int bool_mat_is_diagonal(const bool_mat_t mat);
int bool_mat_is_lower_triangular(const bool_mat_t mat);
int bool_mat_is_transitive(const bool_mat_t mat);
int bool_mat_is_nilpotent(const bool_mat_t mat);
BOOL_MAT_INLINE int
bool_mat_is_empty(const bool_mat_t mat)
{
return (mat->r == 0) || (mat->c == 0);
}
BOOL_MAT_INLINE int
bool_mat_is_square(const bool_mat_t mat)
{
return (mat->r == mat->c);
}
/* Special matrices */
void bool_mat_zero(bool_mat_t mat);
void bool_mat_one(bool_mat_t mat);
void bool_mat_directed_path(bool_mat_t mat);
void bool_mat_directed_cycle(bool_mat_t mat);
/* Transpose */
void bool_mat_transpose(bool_mat_t mat1, const bool_mat_t mat2);
/* Arithmetic */
void bool_mat_complement(bool_mat_t mat1, const bool_mat_t mat2);
void bool_mat_add(bool_mat_t res, const bool_mat_t mat1, const bool_mat_t mat2);
void bool_mat_mul(bool_mat_t res, const bool_mat_t mat1, const bool_mat_t mat2);
void bool_mat_mul_entrywise(bool_mat_t res, const bool_mat_t mat1, const bool_mat_t mat2);
void bool_mat_pow_ui(bool_mat_t B, const bool_mat_t A, ulong exp);
BOOL_MAT_INLINE void
bool_mat_sqr(bool_mat_t B, const bool_mat_t A)
{
bool_mat_mul(B, A, A);
}
/* Special functions */
int bool_mat_trace(const bool_mat_t mat);
slong bool_mat_nilpotency_degree(const bool_mat_t mat);
void bool_mat_transitive_closure(bool_mat_t dest, const bool_mat_t src);
slong bool_mat_get_strongly_connected_components(slong *partition, const bool_mat_t A);
slong bool_mat_all_pairs_longest_walk(fmpz_mat_t B, const bool_mat_t A);
#ifdef __cplusplus
}
#endif
#endif