114 lines
4.3 KiB
C
114 lines
4.3 KiB
C
|
/* MOD2DENSE.H - Interface to module for handling dense mod2 matrices. */
|
||
|
|
|
||
|
|
/* Copyright (c) 1995-2012 by Radford M. Neal.
|
||
|
|
*
|
||
|
|
* Permission is granted for anyone to copy, use, modify, and distribute
|
||
|
|
* these programs and accompanying documents for any purpose, provided
|
||
|
|
* this copyright notice is retained and prominently displayed, and note
|
||
|
|
* is made of any changes made to these programs. These programs and
|
||
|
|
* documents are distributed without any warranty, express or implied.
|
||
|
|
* As the programs were written for research purposes only, they have not
|
||
|
|
* been tested to the degree that would be advisable in any important
|
||
|
|
* application. All use of these programs is entirely at the user's own
|
||
|
|
* risk.
|
||
|
|
*/
|
||
|
|
|
||
|
|
|
||
|
|
/* This module implements operations on matrices of mod2 elements (bits,
|
||
|
|
with addition and multiplication being done modulo 2). The matrices
|
||
|
|
are stored with consecutive bits of a column packed into words, and
|
||
|
|
the procedures are implemented where possible using bit operations
|
||
|
|
on these words. This is an appropriate representation when the matrices
|
||
|
|
are dense (ie, 0s and 1s are about equally frequent).
|
||
|
|
|
||
|
|
All procedures in this module display an error message on standard
|
||
|
|
error and terminate the program if passed an invalid argument (indicative
|
||
|
|
of a programming error), or if memory cannot be allocated. Errors from
|
||
|
|
invalid contents of a file result in an error code being returned to the
|
||
|
|
caller, with no message being printed by this module.
|
||
|
|
*/
|
||
|
|
|
||
|
|
|
||
|
|
#include <stdint.h> /* Has the definition of uint32_t used below */
|
||
|
|
|
||
|
|
/* PACKING OF BITS INTO WORDS. Bits are packed into 32-bit words, with
|
||
|
|
the low-order bit coming first. */
|
||
|
|
|
||
|
|
typedef uint32_t mod2word; /* Data type that holds packed bits. If uint32_t
|
||
|
|
doesn't exist, change it to unsigned long */
|
||
|
|
|
||
|
|
#define mod2_wordsize 32 /* Number of bits that fit in a mod2word. Can't
|
||
|
|
be increased without changing intio module */
|
||
|
|
|
||
|
|
#define mod2_wordsize_shift 5 /* Amount to shift by to divide by wordsize */
|
||
|
|
#define mod2_wordsize_mask 0x1f /* What to AND with to produce mod wordsize */
|
||
|
|
|
||
|
|
/* Extract the i'th bit of a mod2word. */
|
||
|
|
|
||
|
|
#define mod2_getbit(w,i) (((w)>>(i))&1)
|
||
|
|
|
||
|
|
/* Make a word like w, but with the i'th bit set to 1 (if it wasn't already). */
|
||
|
|
|
||
|
|
#define mod2_setbit1(w,i) ((w)|(1<<(i)))
|
||
|
|
|
||
|
|
/* Make a word like w, but with the i'th bit set to 0 (if it wasn't already). */
|
||
|
|
|
||
|
|
#define mod2_setbit0(w,i) ((w)&(~(1<<(i))))
|
||
|
|
|
||
|
|
|
||
|
|
/* STRUCTURE REPRESENTING A DENSE MATRIX. These structures are dynamically
|
||
|
|
allocated using mod2dense_allocate (or by other procedures that call
|
||
|
|
mod2dense_allocate). They should be freed with mod2dense_free when no
|
||
|
|
longer required.
|
||
|
|
|
||
|
|
Direct access to this structure should be avoided except in low-level
|
||
|
|
routines. Use the macros and procedures defined below instead. */
|
||
|
|
|
||
|
|
typedef struct
|
||
|
|
{
|
||
|
|
int n_rows; /* Number of rows in the matrix */
|
||
|
|
int n_cols; /* Number of columns in the matrix */
|
||
|
|
|
||
|
|
int n_words; /* Number of words used to store a column of bits */
|
||
|
|
|
||
|
|
mod2word **col; /* Pointer to array of pointers to columns */
|
||
|
|
|
||
|
|
mod2word *bits; /* Pointer to storage block for bits in this matrix
|
||
|
|
(pieces of this block are pointed to from col) */
|
||
|
|
} mod2dense;
|
||
|
|
|
||
|
|
|
||
|
|
/* MACROS. */
|
||
|
|
|
||
|
|
#define mod2dense_rows(m) ((m)->n_rows) /* Get the number of rows or columns */
|
||
|
|
#define mod2dense_cols(m) ((m)->n_cols) /* in a matrix */
|
||
|
|
|
||
|
|
|
||
|
|
/* PROCEDURES. */
|
||
|
|
|
||
|
|
mod2dense *mod2dense_allocate (int, int);
|
||
|
|
void mod2dense_free (mod2dense *);
|
||
|
|
|
||
|
|
void mod2dense_clear (mod2dense *);
|
||
|
|
void mod2dense_copy (mod2dense *, mod2dense *);
|
||
|
|
void mod2dense_copyrows (mod2dense*, mod2dense *, int *);
|
||
|
|
void mod2dense_copycols (mod2dense*, mod2dense *, int *);
|
||
|
|
|
||
|
|
void mod2dense_print (FILE *, mod2dense *);
|
||
|
|
int mod2dense_write (FILE *, mod2dense *);
|
||
|
|
mod2dense *mod2dense_read (FILE *);
|
||
|
|
|
||
|
|
int mod2dense_get (mod2dense *, int, int);
|
||
|
|
void mod2dense_set (mod2dense *, int, int, int);
|
||
|
|
int mod2dense_flip(mod2dense *, int, int);
|
||
|
|
|
||
|
|
void mod2dense_transpose (mod2dense *, mod2dense *);
|
||
|
|
void mod2dense_add (mod2dense *, mod2dense *, mod2dense *);
|
||
|
|
void mod2dense_multiply (mod2dense *, mod2dense *, mod2dense *);
|
||
|
|
|
||
|
|
int mod2dense_equal (mod2dense *, mod2dense *);
|
||
|
|
|
||
|
|
int mod2dense_invert (mod2dense *, mod2dense *);
|
||
|
|
int mod2dense_forcibly_invert (mod2dense *, mod2dense *, int *, int *);
|
||
|
|
int mod2dense_invert_selected (mod2dense *, mod2dense *, int *, int *);
|