NAME
Compression::Util - Implementation of various techniques used in data compression.
SYNOPSIS
use 5.036;
use Getopt::Std qw(getopts);
use Compression::Util qw(:all);
use constant {CHUNK_SIZE => 1 << 17};
local $Compression::Util::VERBOSE = 0;
getopts('d', \my %opts);
sub compress ($fh, $out_fh) {
while (read($fh, (my $chunk), CHUNK_SIZE)) {
print $out_fh bz2_compress($chunk);
}
}
sub decompress ($fh, $out_fh) {
while (!eof($fh)) {
print $out_fh bz2_decompress($fh);
}
}
$opts{d} ? decompress(\*STDIN, \*STDOUT) : compress(\*STDIN, \*STDOUT);
DESCRIPTION
Compression::Util is a function-based module, implementing various techniques used in data compression, such as:
* Burrows-Wheeler transform
* Move-to-front transform
* Huffman Coding
* Arithmetic Coding (in fixed bits)
* Run-length encoding
* Fibonacci coding
* Elias gamma/omega coding
* Delta coding
* Bzip2-like compression
* LZ77/LZSS compression
* LZW compression
The provided techniques can be easily combined in various ways to create powerful compressors, such as the Bzip2 compressor, which is a pipeline of the following methods:
1. Run-length encoding (RLE4)
2. Burrows-Wheeler transform (BWT)
3. Move-to-front transform (MTF)
4. Zero run-length encoding (ZRLE)
5. Huffman coding
This functionality is provided by the function bz2_compress()
, which can be explicitly implemented as:
use 5.036;
use List::Util qw(uniq);
use Compression::Util qw(:all);
my $data = do { open my $fh, '<:raw', $^X; local $/; <$fh> };
my $rle4 = rle4_encode(string2symbols($data));
my ($bwt, $idx) = bwt_encode(symbols2string($rle4));
my ($mtf, $alphabet) = mtf_encode(string2symbols($bwt));
my $rle = zrle_encode($mtf);
my $enc = pack('N', $idx)
. encode_alphabet($alphabet)
. create_huffman_entry($rle);
say "Original size : ", length($data);
say "Compressed size: ", length($enc);
# Decompress the result
bz2_decompress($enc) eq $data or die "decompression error";
TERMINOLOGY
bit
A bit value is either 1
or 0
.
bitstring
A bitstring is a string containing only 1s and 0s.
byte
A byte value is an integer between 0
and 255
, inclusive.
string
A string means a binary (non-UTF*) string.
symbols
An array of symbols means an array of non-negative integer values.
filehandle
An input filehandle is denoted by $fh
, while an output file-handle is denoted by $out_fh
.
The encoding of input and output file-handles must be set to :raw
.
HIGH-LEVEL FUNCTIONS
create_huffman_entry(\@symbols) # Create a Huffman Coding block
decode_huffman_entry($fh) # Decode a Huffman Coding block
create_ac_entry(\@symbols) # Create an Arithmetic Coding block
decode_ac_entry($fh) # Decode an Arithmetic Coding block
create_adaptive_ac_entry(\@symbols) # Create an Adaptive Arithmetic Coding block
decode_adaptive_ac_entry($fh) # Decode an Adaptive Arithmetic Coding block
mrl_compress(\@symbols) # MRL compression (MTF+ZRLE+RLE4+Huffman coding)
mrl_decompress($fh) # Inverse of the above method
bz2_compress($string) # Bzip2-like compression (RLE4+BWT+MTF+ZRLE+Huffman coding)
bz2_decompress($fh) # Inverse of the above method
bz2_compress_symbolic(\@symbols) # Bzip2-like compression (RLE4+sBWT+MTF+ZRLE+Huffman coding)
bz2_decompress_symbolic($fh) # Inverse of the above method
lz77_compress($string) # LZ77 + DEFLATE-like encoding of distances and lengths
lz77_decompress($fh) # Inverse of the above method
lzss_compress($string) # LZSS + DEFLATE-like encoding of distances and lengths
lzss_decompress($fh) # Inverse of the above method
lzhd_compress($string) # LZ77 + Huffman coding of lengths and literals + OBH for distances
lzhd_decompress($fh) # Inverse of the above method
lzw_compress($string) # LZW + abc_encode() compression
lzw_decompress($fh) # Inverse of the above method
MEDIUM-LEVEL FUNCTIONS
deltas(\@ints) # Computes the differences between integers
accumulate(\@deltas) # Inverse of the above method
delta_encode(\@ints) # Delta+RLE encoding of an array of ints
delta_decode($fh) # Inverse of the above method
fibonacci_encode(\@symbols) # Fibonacci coding of an array of symbols
fibonacci_decode($fh) # Inverse of the above method
elias_gamma_encode(\@symbols) # Elias Gamma coding method of an array of symbols
elias_gamma_decode($fh) # Inverse of the above method
elias_omega_encode(\@symbols) # Elias Omega coding method of an array of symbols
elias_omega_decode($fh) # Inverse of the above method
abc_encode(\@symbols) # Adaptive Binary Concatenation method of an array of symbols
abc_decode($fh) # Inverse of the above method
obh_encode(\@symbols) # Offset bits + Huffman coding of an array of symbols
obh_decode($fh) # Inverse of the above method
bwt_encode($string) # Burrows-Wheeler transform
bwt_decode($bwt, $idx) # Inverse of Burrows-Wheeler transform
bwt_encode_symbolic(\@symbols) # Burrows-Wheeler transform over an array of symbols
bwt_decode_symbolic(\@bwt, $idx) # Inverse of symbolic Burrows-Wheeler transform
mtf_encode(\@symbols) # Move-to-front transform
mtf_decode(\@mtf, \@alphabet) # Inverse of the above method
encode_alphabet(\@alphabet) # Encode an alphabet of symbols into a binary string
decode_alphabet($fh) # Inverse of the above method
frequencies(\@symbols) # Returns a dictionary with symbol frequencies
run_length(\@symbols, $max=undef) # Run-length encoding, returning a 2D array
rle4_encode(\@symbols, $max=255) # Run-length encoding with 4 or more consecutive characters
rle4_decode(\@rle4) # Inverse of the above method
zrle_encode(\@symbols) # Run-length encoding of zeros
zrle_decode(\@zrle) # Inverse of the above method
ac_encode(\@symbols) # Arithmetic Coding applied on an array of symbols
ac_decode($bitstring, \%freq) # Inverse of the above method
adaptive_ac_encode(\@symbols) # Adaptive Arithmetic Coding applied on an array of symbols
adaptive_ac_decode($bitstring, \@alphabet) # Inverse of the above method
lzw_encode($string) # LZW encoding of a given string
lzw_decode(\@symbols) # Inverse of the above method
LOW-LEVEL FUNCTIONS
read_bit($fh, \$buffer) # Read one bit from file-handle (MSB)
read_bit_lsb($fh, \$buffer) # Read one bit from file-handle (LSB)
read_bits($fh, $len) # Read `$len` bits from file-handle (MSB)
read_bits_lsb($fh, $len) # Read `$len` bits from file-handle (LSB)
int2bits($symbol, $size) # Convert an integer to bits of width `$size` (MSB)
int2bits_lsb($symbol, $size) # Convert an integer to bits of width `$size) (LSB)
bits2int($fh, $size, \$buffer) # Inverse of `int2bits()`
bits2int_lsb($fh, $size, \$buffer) # Inverse of `int2bits_lsb()`
string2symbols($string) # Returns an array-ref of code points
symbols2string(\@symbols) # Returns a string, given an array of code points
read_null_terminated($fh) # Read a binary string that ends with NULL ("\0")
binary_vrl_encode($bitstring) # Binary variable run-length encoding
binary_vrl_decode($bitstring) # Binary variable run-length decoding
bwt_sort($string) # Burrows-Wheeler sorting
bwt_sort_symbolic(\@symbols) # Burrows-Wheeler sorting, applied on an array of symbols
huffman_encode(\@symbols, \%dict) # Huffman encoding
huffman_decode($bitstring, \%dict) # Huffman decoding, given a string of bits
huffman_from_freq(\%freq) # Create Huffman dictionaries, given an hash of frequencies
huffman_from_symbols(\@symbols) # Create Huffman dictionaries, given an array of symbols
huffman_from_code_lengths(\@lens) # Create canonical Huffman codes, given an array of code lengths
make_deflate_tables($size) # Returns the DEFLATE tables for distance and length symbols
find_deflate_index($value, \@table) # Returns the index in a DEFLATE table, given a numerical value
lz77_encode($string) # LZ77 compression of a string into literals, distances and lengths
lzss_encode($string) # LZSS compression of a string into literals, distances and lengths
lz77_decode(\@lits, \@idxs, \@lens) # Inverse of the above two methods
deflate_encode(\@lits, \@idxs, \@lens) # DEFLATE-like encoding of values returned by lzss_encode()
deflate_decode($fh) # Inverse of the above method
INTERFACE FOR HIGH-LEVEL FUNCTIONS
create_huffman_entry
create_huffman_entry(\@symbols, $out_fh); # writes to $out_fh
my $string = create_huffman_entry(\@symbols); # returns a binary string
High-level function that generates a Huffman coding block.
It takes two parameters: \@symbols
, which represents the symbols to be encoded, and $out_fh
, which is optional, and represents the file-handle where to write the result.
When the second parameter is omitted, the function returns a binary string.
decode_huffman_entry
my $symbols = decode_huffman_entry($fh);
my $symbols = decode_huffman_entry($string);
Inverse of create_huffman_entry()
.
create_ac_entry
create_ac_entry(\@symbols, $out_fh); # writes to $out_fh
my $string = create_ac_entry(\@symbols); # returns a binary string
High-level function that generates an Arithmetic Coding block.
It takes two parameters: \@symbols
, which represents the symbols to be encoded, and $out_fh
, which is optional, and represents the file-handle where to write the result.
When the second parameter is omitted, the function returns a binary string.
decode_ac_entry
my $symbols = decode_ac_entry($fh);
my $symbols = decode_ac_entry($string);
Inverse of create_ac_entry()
.
create_adaptive_ac_entry
create_adaptive_ac_entry(\@symbols, $out_fh); # writes to $out_fh
my $string = create_adaptive_ac_entry(\@symbols); # returns a binary string
High-level function that generates an Adaptive Arithmetic Coding block.
It takes two parameters: \@symbols
, which represents the symbols to be encoded, and $out_fh
, which is optional, and represents the file-handle where to write the result.
When the second parameter is omitted, the function returns a binary string.
decode_adaptive_ac_entry
my $symbols = decode_adaptive_ac_entry($fh);
my $symbols = decode_adaptive_ac_entry($string);
Inverse of create_adaptive_ac_entry()
.
lz77_compress
# With Huffman coding
lz77_compress($data, $out_fh); # writes to file-handle
my $string = lz77_compress($data); # returns a binary string
# With Arithmetic Coding
lz77_compress($data, $out_fh, \&create_ac_entry); # writes to file-handle
my $string = lz77_compress($data, undef, \&create_ac_entry); # returns a binary string
High-level function that performs LZ77 (Lempel-Ziv 1977) compression on the provided data, using the pipeline:
1. lz77_encode
2. deflate_encode
lzss_compress
# With Huffman coding
lzss_compress($data, $out_fh); # writes to file-handle
my $string = lzss_compress($data); # returns a binary string
# With Arithmetic Coding
lzss_compress($data, $out_fh, \&create_ac_entry); # writes to file-handle
my $string = lzss_compress($data, undef, \&create_ac_entry); # returns a binary string
High-level function that performs LZSS (Lempel-Ziv-Storer-Szymanski) compression on the provided data, using the pipeline:
1. lzss_encode
2. deflate_encode
It takes a single parameter, $data
, representing the data string to be compressed.
lz77_decompress / lzss_decompress
# Writing to file-handle
lzss_decompress($fh, $out_fh);
lzss_decompress($string, $out_fh);
# Writing to file-handle (does Arithmetic decoding)
lzss_decompress($fh, $out_fh, \&decode_ac_entry);
lzss_decompress($string, $out_fh, \&decode_ac_entry);
# Returning the results
my $data = lzss_decompress($fh);
my $data = lzss_decompress($string);
# Returning the results (does Arithmetic decoding)
my $data = lzss_decompress($fh, undef, \&decode_ac_entry);
my $data = lzss_decompress($string, undef, \&decode_ac_entry);
Inverse of lzss_compress()
and lz77_compress()
.
lzhd_compress
# With Huffman coding
lzhd_compress($data, $out_fh); # writes to file-handle
my $string = lzhd_compress($data); # returns a binary string
# With Arithmetic Coding
lzhd_compress($data, $out_fh, \&create_ac_entry); # writes to file-handle
my $string = lzhd_compress($data, undef, \&create_ac_entry); # returns a binary string
High-level function that performs LZ77 (Lempel-Ziv 1977) compression on the provided data, using the pipeline:
1. lz77_encode
2. create_huffman_entry(literals)
3. create_huffman_entry(lengths)
4. obh_encode(distances)
It takes a single parameter, $data
, representing the data string to be compressed.
lzhd_decompress
# Writing to file-handle
lzhd_decompress($fh, $out_fh);
lzhd_decompress($string, $out_fh);
# Writing to file-handle (does Arithmetic decoding)
lzhd_decompress($fh, $out_fh, \&decode_ac_entry);
lzhd_decompress($string, $out_fh, \&decode_ac_entry);
# Returning the results
my $data = lzhd_decompress($fh);
my $data = lzhd_decompress($string);
# Returning the results (does Arithmetic decoding)
my $data = lzhd_decompress($fh, undef, \&decode_ac_entry);
my $data = lzhd_decompress($string, undef, \&decode_ac_entry);
Inverse of lzhd_compress()
.
lzw_compress
lzw_compress($data, $out_fh); # writes to file-handle
my $string = lzw_compress($data); # returns a binary string
High-level function that performs LZW (Lempel-Ziv-Welch) compression on the provided data, using the pipeline:
1. lzw_encode
2. abc_encode
It takes a single parameter, $data
, representing the data string to be compressed.
lzw_decompress
# Writing to filehandle
lzw_decompress($fh, $out_fh);
lzw_decompress($string, $out_fh);
# Returning the results
my $data = lzw_decompress($fh);
my $data = lzw_decompress($string);
Performs Lempel-Ziv-Welch (LZW) decompression on the provided string or file-handle. Inverse of lzw_compress()
.
bz2_compress
# Using Huffman Coding
bz2_compress($data, $out_fh); # writes to file-handle
my $string = bz2_compress($data); # returns a binary string
# Using Arithmetic Coding
bz2_compress($data, $out_fh, \&create_ac_entry); # writes to file-handle
my $string = bz2_compress($data, undef, \&create_ac_entry); # returns a binary string
High-level function that performs Bzip2-like compression on the provided data, using the pipeline:
1. rle4_encode
2. bwt_encode
3. mtf_encode
4. zrle_encode
5. create_huffman_entry
It takes a parameter string, $data
, representing the data to be compressed.
The function returns a binary string representing the compressed data.
When the additional optional argument, $out_fh
, is provided, the compressed data is written to it.
bz2_decompress
# Writes to file-handle
bz2_decompress($fh, $out_fh);
bz2_decompress($string, $out_fh);
# Writes to file-handle (does Arithmetic decoding)
bz2_decompress($fh, $out_fh, \&decode_ac_entry);
bz2_decompress($string, $out_fh, \&decode_ac_entry);
# Returns the data
my $data = bz2_decompress($fh);
my $data = bz2_decompress($string);
# Returns the data (does Arithmetic decoding)
my $data = bz2_decompress($fh, undef, \&decode_ac_entry);
my $data = bz2_decompress($string, undef, \&decode_ac_entry);
Inverse of bz2_compress()
.
bz2_compress_symbolic
# Does Huffman coding
bz2_compress_symbolic(\@symbols, $out_fh); # writes to file-handle
my $string = bz2_compress_symbolic(\@symbols); # returns a binary string
# Does Arithmetic coding
bz2_compress_symbolic(\@symbols, $out_fh, \&create_ac_entry); # writes to file-handle
my $string = bz2_compress_symbolic(\@symbols, undef, \&create_ac_entry); # returns a binary string
Similar to bz2_compress()
, except that it accepts an arbitrary array-ref of non-negative integer values as input. It is also a bit slower on large inputs.
bz2_decompress_symbolic
# Using Huffman coding
my $symbols = bz2_decompress_symbolic($fh);
my $symbols = bz2_decompress_symbolic($string);
# Using Arithmetic coding
my $symbols = bz2_decompress_symbolic($fh, \&decode_ac_entry);
my $symbols = bz2_decompress_symbolic($string, \&decode_ac_entry);
Inverse of bz2_compress_symbolic()
.
mrl_compress
# Does Huffman coding
mrl_compress(\@symbols, $out_fh); # writes to file-handle
my $string = mrl_compress(\@symbols); # returns a binary string
# Does Arithmetic coding
mrl_compress(\@symbols, $out_fh, \&create_ac_entry); # writes to file-handle
my $string = mrl_compress(\@symbols, undef, \&create_ac_entry); # returns a binary string
A fast compression method, using the following pipeline:
1. mtf_encode
2. zrle_encode
3. rle4_encode
4. create_huffman_entry
It accepts an arbitrary array-ref of non-negative integer values as input.
mrl_decompress
# Using Huffman coding
my $symbols = mrl_decompress($fh);
my $symbols = mrl_decompress($string);
# Using Arithmetic coding
my $symbols = mrl_decompress($fh, \&decode_ac_entry);
my $symbols = mrl_decompress($string, \&decode_ac_entry);
Inverse of mrl_compress()
.
INTERFACE FOR MEDIUM-LEVEL FUNCTIONS
frequencies
my $freq = frequencies(\@symbols);
Returns an hash ref dictionary with frequencies, given an array of symbols.
deltas
my $deltas = deltas(\@integers);
Computes the differences between consecutive integers, returning an array.
accumulate
my $integers = accumulate(\@deltas);
Inverse of deltas()
.
delta_encode
my $string = delta_encode(\@integers);
Encodes a sequence of integers (including negative integers) using Delta + Run-length + Elias omega coding, returning a binary string.
Delta encoding calculates the difference between consecutive integers in the sequence and encodes these differences using Elias omega coding. When it's beneficial, runs of identitical symbols are collapsed with RLE.
It takes two parameters: \@integers
, representing the sequence of arbitrary integers to be encoded, and an optional parameter which defaults to 0
. If the second parameter is set to a true value, double Elias omega coding is performed, which results in better compression for very large integers.
delta_decode
# Given a file-handle
my $integers = delta_decode($fh);
# Given a string
my $integers = delta_decode($string);
Inverse of delta_encode()
.
fibonacci_encode
my $string = fibonacci_encode(\@symbols);
Encodes a sequence of non-negative integers using Fibonacci coding, returning a binary string.
fibonacci_decode
# Given a file-handle
my $symbols = fibonacci_decode($fh);
# Given a binary string
my $symbols = fibonacci_decode($string);
Inverse of fibonacci_encode()
.
elias_gamma_encode
my $string = elias_gamma_encode(\@symbols);
Encodes a sequence of non-negative integers using Elias Gamma coding, returning a binary string.
elias_gamma_decode
# Given a file-handle
my $symbols = elias_gamma_decode($fh);
# Given a binary string
my $symbols = elias_gamma_decode($string);
Inverse of elias_gamma_encode()
.
elias_omega_encode
my $string = elias_omega_encode(\@symbols);
Encodes a sequence of non-negative integers using Elias Omega coding, returning a binary string.
elias_omega_decode
# Given a file-handle
my $symbols = elias_omega_decode($fh);
# Given a binary string
my $symbols = elias_omega_decode($string);
Inverse of elias_omega_encode()
.
abc_encode
my $string = abc_encode(\@symbols);
Encodes a sequence of non-negative integers using the Adaptive Binary Concatenation encoding method.
This method is particularly effective in encoding a sequence of integers that are in ascending order.
abc_decode
# Given a filehandle
my $symbols = abc_decode($fh);
# Given a binary string
my $symbols = abc_decode($string);
Inverse of abc_encode()
.
obh_encode
# With Huffman Coding
my $string = obh_encode(\@symbols);
# With Arithemtic Coding
my $string = obh_encode(\@symbols, \&create_ac_entry);
Encodes a sequence of non-negative integers using offset bits and Huffman coding.
This method is particularly effective in encoding a sequence of moderately large random integers, such as the list of distances returned by lz77_encode()
.
obh_decode
# Given a filehandle
my $symbols = obh_decode($fh); # Huffman decoding
my $symbols = obh_decode($fh, \&decode_ac_entry); # Arithemtic decoding
# Given a binary string
my $symbols = obh_decode($string); # Huffman decoding
my $symbols = obh_decode($string, \&decode_ac_entry); # Arithemtic decoding
Inverse of obh_encode()
.
bwt_encode
my ($bwt, $idx) = bwt_encode($string);
my ($bwt, $idx) = bwt_encode($string, $lookahead_len);
Applies the Burrows-Wheeler Transform (BWT) to a given string.
It returns two values: $bwt
, which represents the transformed string, and $idx
, which holds the index of the original string in the sorted list of rotations.
It takes an optional argument $lookahead_len
, which defaults to 128
, representing the length of look-ahead during sorting.
bwt_decode
my $string = bwt_decode($bwt, $idx);
Reverses the Burrows-Wheeler Transform (BWT) applied to a string.
It takes two parameters: $bwt
, which is the transformed string, and $idx
, which represents the index of the original string in the sorted list of rotations.
The function returns the original string.
bwt_encode_symbolic
my ($bwt_symbols, $idx) = bwt_encode_symbolic(\@symbols);
Applies the Burrows-Wheeler Transform (BWT) to a sequence of symbolic elements.
It takes a single parameter \@symbols
, which represents the sequence of numerical symbols to be transformed.
The function returns two elements: $bwt_symbols
, which represents the transformed symbolic sequence, and $idx
, the index of the original sequence in the sorted list of rotations.
bwt_decode_symbolic
my $symbols = bwt_decode_symbolic(\@bwt_symbols, $idx);
Reverses the Burrows-Wheeler Transform (BWT) applied to a sequence of symbolic elements.
It takes two parameters: \@bwt_symbols
, which represents the transformed symbolic sequence, and $idx
, the index of the original sequence in the sorted list of rotations.
The function returns the original sequence of symbolic elements.
mtf_encode
my $mtf = mtf_encode(\@symbols, \@alphabet);
my ($mtf, $alphabet) = mtf_encode(\@symbols);
Performs Move-To-Front (MTF) encoding on a sequence of symbols.
It takes one parameter: \@symbols
, representing the sequence of symbols to be encoded.
The function returns the encoded MTF sequence and the sorted list of unique symbols in the input data, representing the alphabet.
Optionally, the alphabet can be provided as a second argument. When two arguments are provided, only the MTF sequence is returned.
mtf_decode
my $symbols = mtf_decode(\@mtf, \@alphabet);
Inverse of mtf_encode()
.
encode_alphabet
my $string = encode_alphabet(\@alphabet);
Efficienlty encodes an alphabet of symbols into a binary string.
decode_alphabet
my $alphabet = decode_alphabet($fh);
my $alphabet = decode_alphabet($string);
Decodes an encoded alphabet, given a file-handle or a binary string, returning an array of symbols. Inverse of encode_alphabet()
.
run_length
my $rl = run_length(\@symbols);
my $rl = run_length(\@symbols, $max_run);
Performs Run-Length Encoding (RLE) on a sequence of symbolic elements.
It takes two parameters: \@symbols
, representing an array of symbols, and $max_run
, indicating the maximum run length allowed.
The function returns a 2D-array, with pairs: [symbol, run_length]
, such that the following code reconstructs the \@symbols
array:
my @symbols = map { ($_->[0]) x $_->[1] } @$rl;
By default, the maximum run-length is unlimited.
rle4_encode
my $rle4 = rle4_encode(\@symbols);
my $rle4 = rle4_encode(\@symbols, $max_run);
Performs Run-Length Encoding (RLE) on a sequence of symbolic elements, specifically designed for runs of four or more consecutive symbols.
It takes two parameters: \@symbols
, representing an array of symbols, and $max_run
, indicating the maximum run length allowed during encoding.
The function returns the encoded RLE sequence as an array-ref of symbols.
By default, the maximum run-length is limited to 255
.
rle4_decode
my $symbols = rle4_decode($rle4);
Inverse of rle4_encode()
.
zrle_encode
my $zrle = zrle_encode(\@symbols);
Performs Zero-Run-Length Encoding (ZRLE) on a sequence of symbolic elements.
It takes a single parameter \@symbols
, representing the sequence of symbols to be encoded, and returns the encoded ZRLE sequence as an array-ref of symbols.
This function efficiently encodes only runs of zeros, but also increments each symbol by 1
.
zrle_decode
my $symbols = zrle_decode($zrle);
Inverse of zrle_encode()
.
ac_encode
my ($bitstring, $freq) = ac_encode(\@symbols);
Performs Arithmetic Coding on the provided symbols.
It takes a single parameter, \@symbols
, representing the symbols to be encoded.
The function returns two values: $bitstring
, which is a string of 1s and 0s, and $freq
, representing the frequency table used for encoding.
ac_decode
my $symbols = ac_decode($bits_fh, \%freq);
my $symbols = ac_decode($bitstring, \%freq);
Performs Arithmetic Coding decoding using the provided frequency table and a string of 1s and 0s. Inverse of ac_encode()
.
It takes two parameters: $bitstring
, representing a string of 1s and 0s containing the arithmetic coded data, and \%freq
, representing the frequency table used for encoding.
The function returns the decoded sequence of symbols.
adaptive_ac_encode
my ($bitstring, $alphabet) = adaptive_ac_encode(\@symbols);
Performs Adaptive Arithmetic Coding on the provided symbols.
It takes a single parameter, \@symbols
, representing the symbols to be encoded.
The function returns two values: $bitstring
, which is a string of 1s and 0s, and $alphabet
, which is an array-ref of distinct sorted symbols.
adaptive_ac_decode
my $symbols = adaptive_ac_decode($bits_fh, \@alphabet);
my $symbols = adaptive_ac_decode($bitstring, \@alphabet);
Performs Adaptive Arithmetic Coding decoding using the provided frequency table and a string of 1s and 0s.
It takes two parameters: $bitstring
, representing a string of 1s and 0s containing the adaptive arithmetic coded data, and \@alphabet
, representing the array of distinct sorted symbols that appear in the encoded data.
The function returns the decoded sequence of symbols.
lzw_encode
my $symbols = lzw_encode($string);
Performs Lempel-Ziv-Welch (LZW) encoding on the provided string.
It takes a single parameter, $string
, representing the data to be compressed. The function returns the encoded symbols.
lzw_decode
my $string = lzw_decode(\@symbols);
Performs Lempel-Ziv-Welch (LZW) decoding on the provided symbols. Inverse of lzw_encode()
.
It takes a single parameter, \@symbols
, representing the encoded symbols to be decompressed. The function returns the decoded string.
INTERFACE FOR LOW-LEVEL FUNCTIONS
read_bit
my $bit = read_bit($fh, \$buffer);
Reads a single bit from a file-handle $fh
(MSB order).
The function stores the extra bits inside the $buffer
, reading one character at a time from the filehandle.
read_bit_lsb
my $bit = read_bit_lsb($fh, \$buffer);
Reads a single bit from a file-handle $fh
(LSB order).
The function stores the extra bits inside the $buffer
, reading one character at a time from the filehandle.
read_bits
my $bitstring = read_bits($fh, $bits_len);
Reads a specified number of bits ($bits_len
) from a file-handle ($fh
) and returns them as a string, in MSB order.
read_bits_lsb
my $bitstring = read_bits_lsb($fh, $bits_len);
Reads a specified number of bits ($bits_len
) from a file-handle ($fh
) and returns them as a string, in LSB order.
int2bits
my $bitstring = int2bits($symbol, $size)
Convert a non-negative integer to a bitstring of width $size
, in MSB order.
int2bits_lsb
my $bitstring = int2bits_lsb($symbol, $size)
Convert a non-negative integer to a bitstring of width $size
, in LSB order.
bits2int
my $integer = bits2int($fh, $size, \$buffer)
Read $size
bits from file-handle $fh
and convert them to an integer, in MSB order. Inverse of int2bits()
.
bits2int_lsb
my $integer = bits2int_lsb($fh, $size, \$buffer)
Read $size
bits from file-handle $fh
and convert them to an integer, in LSB order. Inverse of int2bits_lsb()
.
string2symbols
my $symbols = string2symbols($string)
Returns an array-ref of code points, given a string.
symbols2string
my $string = symbols2string(\@symbols)
Returns a string, given an array-ref of code points.
read_null_terminated
my $string = read_null_terminated($fh)
Read a string from file-handle $fh
that ends with a NULL character ("\0").
binary_vrl_encode
my $bitstring_enc = binary_vrl_encode($bitstring);
Given a string of 1s and 0s, returns back a bitstring of 1s and 0s encoded using variable run-length encoding.
binary_vrl_decode
my $bitstring = binary_vrl_decode($bitstring_enc);
Given an encoded bitstring, returned by binary_vrl_encode()
, gives back the decoded string of 1s and 0s.
bwt_sort
my $indices = bwt_sort($string);
my $indices = bwt_sort($string, $lookahead_len);
Low-level function that sorts the rotations of a given string using the Burrows-Wheeler Transform (BWT) algorithm.
It takes two parameters: $string
, which is the input string to be transformed, and $LOOKAHEAD_LEN
(optional), representing the length of look-ahead during sorting.
The function returns an array-ref of indices.
There is probably no need to call this function explicitly. Use bwt_encode()
instead!
bwt_sort_symbolic
my $indices = bwt_sort_symbolic(\@symbols);
Low-level function that sorts the rotations of a sequence of symbolic elements using the Burrows-Wheeler Transform (BWT) algorithm.
It takes a single parameter \@symbols
, which represents the input sequence of symbolic elements. The function returns an array of indices.
There is probably no need to call this function explicitly. Use bwt_encode_symbolic()
instead!
huffman_from_freq
my $dict = huffman_from_freq(\%freq);
my ($dict, $rev_dict) = huffman_from_freq(\%freq);
Low-level function that constructs Huffman prefix codes, based on the frequency of symbols provided in a hash table.
It takes a single parameter, \%freq
, representing the hash table where keys are symbols, and values are their corresponding frequencies.
The function returns two values: $dict
, which represents the constructed Huffman dictionary, and $rev_dict
, which holds the reverse mapping of Huffman codes to symbols.
The prefix codes are in canonical form, as defined in RFC 1951 (Section 3.2.2).
huffman_from_symbols
my $dict = huffman_from_symbols(\@symbols);
my ($dict, $rev_dict) = huffman_from_symbols(\@symbols);
Low-level function that constructs Huffman prefix codes, given an array of symbols.
It takes a single parameter, \@symbols
, from which it computes the frequency of each symbol and generates the corresponding Huffman prefix codes.
The function returns two values: $dict
, which represents the constructed Huffman dictionary, and $rev_dict
, which holds the reverse mapping of Huffman codes to symbols.
The prefix codes are in canonical form, as defined in RFC 1951 (Section 3.2.2).
huffman_from_code_lengths
my $dict = huffman_from_code_lengths(\@code_lengths);
my ($dict, $rev_dict) = huffman_from_code_lengths(\@code_lengths);
Low-level function that constructs a dictionary of canonical prefix codes, given an array of code lengths, as defined in RFC 1951 (Section 3.2.2).
It takes a single parameter, \@code_lengths
, where entry $i
in the array corresponds to the code length for symbol $i
.
The function returns two values: $dict
, which represents the constructed Huffman dictionary, and $rev_dict
, which holds the reverse mapping of Huffman codes to symbols.
huffman_encode
my $bitstring = huffman_encode(\@symbols, $dict);
Low-level function that performs Huffman encoding on a sequence of symbols using a provided dictionary, returned by huffman_from_freq()
.
It takes two parameters: \@symbols
, representing the sequence of symbols to be encoded, and $dict
, representing the Huffman dictionary mapping symbols to their corresponding Huffman codes.
The function returns a concatenated string of 1s and 0s, representing the Huffman-encoded sequence of symbols.
huffman_decode
my $symbols = huffman_decode($bitstring, $rev_dict);
Low-level function that decodes a Huffman-encoded binary string into a sequence of symbols using a provided reverse dictionary.
It takes two parameters: $bitstring
, representing the Huffman-encoded string of 1s and 0s, as returned by huffman_encode()
, and $rev_dict
, representing the reverse dictionary mapping Huffman codes to their corresponding symbols.
The function returns the decoded sequence of symbols as an array-ref.
lzss_encode
my ($literals, $distances, $lengths) = lzss_encode($data);
Low-level function that performs LZSS (Lempel-Ziv-Storer-Szymanski) compression on the provided data.
It takes a single parameter, $data
, representing the data string to be compressed.
The function returns three values: $literals
, which is an array-ref of uncompressed bytes, $distances
, which contains the relative back-reference distances, and $lengths
, which holds the lengths of the matched sub-strings.
A back-reference is returned only when it's beneficial (i.e.: when it may not inflate the data). Otherwise, the corresponding index and length are both set to 0
.
The output can be decompressed with lz77_decode()
.
lz77_encode
my ($literals, $distances, $lengths) = lz77_encode($data);
Low-level function that performs LZ77 (Lempel-Ziv 1977) compression on the provided data.
It takes a single parameter, $data
, representing the data string to be compressed.
The function returns three values: $literals
, which is an array-ref of uncompressed bytes, $distances
, which contains the relative back-reference distances of the matched sub-strings, and $lengths
, which holds the lengths of the matched sub-strings.
Lengths are limited to 255
.
lz77_decode / lzss_decode
my $data = lz77_decode($literals, $distances, $lengths);
my $data = lzss_decode($literals, $distances, $lengths);
Low-level function that performs LZ77 (Lempel-Ziv 1977) decompression using the provided literals, distances, and lengths of matched sub-strings.
It takes three parameters: $literals
, representing the array-ref of uncompressed bytes, $distances
, containing the relative back-reference distances of the matched sub-strings, and $lengths
, holding the lengths of the matched sub-strings.
The function returns the decompressed data as a string.
deflate_encode
# Returns a binary string
my $string = deflate_encode(\@literals, \@distances, \@lengths);
my $string = deflate_encode(\@literals, \@distances, \@lengths, \&create_ac_entry);
Low-level function that encodes the results returned by lz77_encode()
and lzss_encode()
, using a DEFLATE-like approach, combined with Huffman coding.
An optional argument can be provided as \&create_ac_entry
to use Arithmetic Coding instead of Huffman coding. The default value is \&create_huffman_entry
.
deflate_decode
# Huffman decoding
my ($literals, $distances, $lengths) = deflate_decode($fh);
my ($literals, $distances, $lengths) = deflate_decode($string);
# Arithmetic decoding
my ($literals, $distances, $lengths) = deflate_decode($fh, \&decode_ac_entry);
my ($literals, $distances, $lengths) = deflate_decode($string, \&decode_ac_entry);
Inverse of deflate_encode()
.
make_deflate_tables
my ($DISTANCE_SYMBOLS, $LENGTH_SYMBOLS, $LENGTH_INDICES) = make_deflate_tables($size);
Low-level function that returns a list of tables used in encoding the relative back-reference distances and lengths returned by lz77_encode()
and lzss_encode()
.
There is no need to call this function explicitly. Use deflate_encode()
instead!
find_deflate_index
my $index = find_deflate_index($value, $DISTANCE_SYMBOLS);
Low-level function that returns the index inside the DEFLATE tables for a given value.
EXPORT
Each function can be exported individually, as:
use Compression::Util qw(bz2_compress);
By specifying the :all keyword, will export all the exportable functions:
use Compression::Util qw(:all);
Nothing is exported by default.
SEE ALSO
Data Compression (Summer 2023) - Lecture 4 - The Unix 'compress' Program: https://youtube.com/watch?v=1cJL9Va80Pk
Data Compression (Summer 2023) - Lecture 5 - Basic Techniques: https://youtube.com/watch?v=TdFWb8mL5Gk
Data Compression (Summer 2023) - Lecture 11 - DEFLATE (gzip): https://youtube.com/watch?v=SJPvNi4HrWQ
Data Compression (Summer 2023) - Lecture 12 - The Burrows-Wheeler Transform (BWT): https://youtube.com/watch?v=rQ7wwh4HRZM
Data Compression (Summer 2023) - Lecture 13 - BZip2: https://youtube.com/watch?v=cvoZbBZ3M2A
Data Compression (Summer 2023) - Lecture 15 - Infinite Precision in Finite Bits: https://youtube.com/watch?v=EqKbT3QdtOI
Information Retrieval WS 17/18, Lecture 4: Compression, Codes, Entropy: https://youtube.com/watch?v=A_F94FV21Ek
COMP526 7-5 SS7.4 Run length encoding: https://youtube.com/watch?v=3jKLjmV1bL8
COMP526 Unit 7-6 2020-03-24 Compression - Move-to-front transform: https://youtube.com/watch?v=Q2pinaj3i9Y
Basic arithmetic coder in C++: https://github.com/billbird/arith32
My blog post on "Lossless Data Compression": https://trizenx.blogspot.com/2023/09/lossless-data-compression.html
REPOSITORY
BUGS AND LIMITATIONS
Please report any bugs or feature requests to: https://github.com/trizen/Compression-Util.
AUTHOR
Daniel "Trizen" Șuteu <trizen@cpan.org>
ACKNOWLEDGEMENTS
Special thanks to professor Bill Bird for the awesome YouTube lectures on data compression.
LICENSE
This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself, either Perl version 5.38.2 or, at your option, any later version of Perl 5 you may have available.