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gf2matrix.h
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/*
* Copyright 2020 Roberto Francescon
* Copyright 2022 Dominik Danelski
* This file is part of freeRaptor.
*
* freeRaptor 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 3 of the License, or
* (at your option) any later version.
* freeRaptor 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 freeRaptor. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* @author Roberto Francescon
* @author Dominik Danelski (Etua)
* @brief Definition and implementation of Galois Field GF(2) matrices
* and vectors
* @version 0.0.1
* @file gf2matrix.h
*/
#ifndef GF2MATRIX_H
#define GF2MATRIX_H
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
/** Typedef word: here as a uint32_t type */
typedef uint32_t word;
/** Size in bits of the word used for packed bits */
extern uint32_t wordsize;
/** Bit mask of the word */
extern uint32_t wordbitmask;
/** NUmber of positions to shift by to divide by word */
extern uint32_t wordshift;
/**
* Struct that defines the binary GF(2) matrix type as packed words.
* Defualt word is 32 bit long as this is the smallest unit for the raptor
* symbol.
*/
typedef struct {
uint32_t n_rows;
uint32_t n_cols;
uint32_t n_words;
word **rows;
word *m_data;
} gf2matrix;
/**
* Function that allocates the memory to accomodate for a GF(2) matrix.
* The allocated memory is initialized to zero.
* @param mat gf2matrix pointer to the selected matrix
* @param n_cols number of columns
* @param n_rows number of rows
*/
void allocate_gf2matrix(gf2matrix *mat, uint32_t n_cols, uint32_t n_rows);
/**
* Deallocate a gf2matrix
* @param mat matrix to deallocate
*/
void dealloc_gf2matrix(gf2matrix *mat);
/**
* Function that returns the number of rows of a selected GF(2) matrix
* @param mat gf2matrix pointer to the selected matrix
* @return integer number of rows
*/
uint32_t get_nrows(gf2matrix *mat);
/**
* Function that returns the number of columns of a selected GF(2) matrix
* @param mat gf2matrix pointer to the selected matrix
* @return integer number of columns
*/
uint32_t get_ncols(gf2matrix *mat);
/**
* Function that returns the number of columns of a selected GF(2) matrix
* @param mat gf2matrix pointer to the selected matrix
* @return integer number of columns
*/
uint32_t get_nwords(gf2matrix *mat);
/**
* Function that return the binary value at (n,m)
* @param mat gf2matrix pointer to the selected matrix
* @param n integer index of the selected row
* @param m integer index of the selected column
* @return binary value of the entry at position (n,m)
*/
int get_entry(gf2matrix *mat, int n, int m);
/**
* Function that returns the pointer to a specific word at index l
* @param mat gf2matrix from which to extract the word
* @param n integer index of the selected row
* @param l integer index of the selected word
*/
word *get_word(gf2matrix *mat, int n, int l);
/**
* Function that set a particular bit to the selected value
* @param mat gf2matrix pointer to the selected matrix
* @param n integer index of the selected row
* @param m integer index of the selected column
* @param val value to set at position (n,m)
*/
void set_entry(gf2matrix *mat, int n, int m, int val);
/**
* Function that swaps two rows of a given matrix
* @param mat matrix whose rows have to swapped
* @param n index of the first row to swap
* @param k index of the second row to swap
*/
void swap_rows(gf2matrix *mat, int n, int k);
/**
* Function that swaps two columns of a given matrix
* @param mat matrix whose columns have to swapped
* @param m index of the first column to swap
* @param k index of the second column to swap
*/
void swap_cols(gf2matrix *mat, int m, int k);
/**
* Function that prints the matrix.
* All the matrix, so be careful.
* Used for debugging purposes.
* @param mat gf2matrix to print
*/
void print_matrix(gf2matrix *mat);
/**
* Function allocating space and filling an identity matrix
* @param identity pointer under which the matrix should be allocated
* @param ncols number of columns
* @param nrows number of rows
*/
void create_identity_matrix(gf2matrix *identity, uint32_t ncols,
uint32_t nrows);
/**
* Matrix multiplication done in the lest efficient way possible:
* element per element
* @param matA first matrix to multiply
* @param matB second matrix to multiply
* @param return parameter result matrix
*/
void mat_mul(gf2matrix *matA, gf2matrix *matB, gf2matrix *result);
/**
* Function that inverts the given matrix, if possible, through gasussian
* elimination. If the given matrix is found not invertible, false is returned.
* @param mat gf2matrix to which to apply the Gaussia-Elimination inversion
* @return integer something NOT CLEAR
*/
int gaussjordan_inv(gf2matrix *mat);
#endif