Network Working Group                                        P. Deutsch Request for Comments: 1951                          Aladdin Enterprises Category: Informational                                        May 1996        DEFLATE Compressed Data Format Specification version 1.3
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This memo provides information for the Internet community.  This memo    does not specify an Internet standard of any kind.  Distribution of
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Copyright (c) 1996 L. Peter Deutsch
Permission is granted to copy and distribute this document for any
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A pointer to the latest version of this and related documentation in    HTML format can be found at the URL
<ftp://ftp.uu/graphics/png/documents/zlib/zdoc-index.html>. Abstract
This specification defines a lossless compressed data format that
compresses data using a combination of the LZ77 algorithm and Huffman    coding, with efficiency comparable to the best currently available
general-purpose compression methods.  The data can be produced or
consumed, even for an arbitrarily long sequentially presented input
data stream, using only an a priori bounded amount of intermediate
storage.  The format can be implemented readily in a manner not
covered by patents.
Deutsch                      Informational                      [Page 1]
Table of Contents
1. Introduction (2)
1.1. Purpose (2)
1.2. Intended audience (3)
1.3. Scope (3)
1.4. Compliance (3)
1.5.  Definitions of terms and conventions used (3)
1.6. Changes from previous versions (4)
2. Compressed representation overview (4)
3. Detailed specification (5)
3.1. Overall conventions (5)
3.1.1. Packing into bytes (5)
3.2. Compressed block format (6)
3.2.1. Synopsis of prefix and Huffman coding (6)
3.2.2. Use of Huffman coding in the "deflate" format (7)
3.2.3. Details of block format (9)
3.2.4. Non-compressed blocks (BTYPE=00) (11)
3.2.5. Compressed blocks (length and distance codes) (11)
3.2.6. Compression with fixed Huffman codes (BTYPE=01) (12)
3.2.7. Compression with dynamic Huffman codes (BTYPE=10) .. 13
3.3. Compliance (14)
4. Compression algorithm details (14)
5. References (16)
6. Security Considerations (16)
7. Source code (16)
8. Acknowledgements (16)
9. Author’s Address (17)
1. Introduction
1.1. Purpose
The purpose of this specification is to define a lossless
compressed data format that:
* Is independent of CPU type, operating system, file system,
and character set, and hence can be used for interchange;
* Can be produced or consumed, even for an arbitrarily long
sequentially presented input data stream, using only an a
priori bounded amount of intermediate storage, and hence
can be used in data communications or similar structures
such as Unix filters;
* Compresses data with efficiency comparable to the best
currently available general-purpose compression methods,
and in particular considerably better than the "compress"
program;
* Can be implemented readily in a manner not covered by
patents, and hence can be practiced freely;
Deutsch                      Informational                      [Page 2]
* Is compatible with the file format produced by the current
widely used gzip utility, in that conforming decompressors
will be able to read data produced by the existing gzip
compressor.
The data format defined by this specification does not attempt to:          * Allow random access to compressed data;
* Compress specialized data (e.g., raster graphics) as well
as the best currently available specialized algorithms.
A simple counting argument shows that no lossless compression
algorithm can compress every possible input data set.  For the
format defined here, the worst case expansion is 5 bytes per 32K-      byte block, i.e., a size increase of 0.015% for large data sets.
English text usually compresses by a factor of 2.5 to 3;
executable files usually compress somewhat less; graphical data
ignore subsequent bad blocks
such as raster images may compress much more.
1.2. Intended audience
This specification is intended for use by implementors of software      to compress data into "deflate" format and/or decompress data from      "deflate" format.
The text of the specification assumes a basic background in
programming at the level of bits and other primitive data
representations.  Familiarity with the technique of Huffman coding      is helpful but not required.
1.3. Scope
The specification specifies a method for representing a sequence
of bytes as a (usually shorter) sequence of bits, and a method for      packing the latter bit sequence into bytes.
1.4. Compliance
Unless otherwise indicated below, a compliant decompressor must be      able to accept and decompress any data set that conforms to all
the specifications presented here; a compliant compressor must
produce data sets that conform to all the specifications presented      here.
1.5.  Definitions of terms and conventions used
Byte: 8 bits stored or transmitted as a unit (same as an octet).
For this specification, a byte is exactly 8 bits, even on machines Deutsch                      Informational                      [Page 3]
which store a character on a number of bits different from eight.      See below, for the numbering of bits within a byte.
String: a sequence of arbitrary bytes.
1.6. Changes from previous versions
There have been no technical changes to the deflate format since
version 1.1 of this specification.  In version 1.2, some
terminology was changed.  Version 1.3 is a conversion of the
specification to RFC style.
2. Compressed representation overview
A compressed data set consists of a series of blocks, corresponding
to successive blocks of input data.  The block sizes are arbitrary,
except that non-compressible blocks are limited to 65,535 bytes.
Each block is compressed using a combination of the LZ77 algorithm
and Huffman coding. The Huffman trees for each block are independent    of those for previous or subsequent blocks; the LZ77 algorithm may
use a reference to a duplicated string occurring in a previous block,  up to 32K input bytes before.
Each block consists of two parts: a pair of Huffman code trees that
describe the representation of the compressed data part, and a
compressed data part.  (The Huffman trees themselves are compressed
using Huffman encoding.)  The compressed data consists of a series of    elements of two types: literal bytes (of strings that have not been
detected as duplicated within the previous 32K input bytes), and
pointers to duplicated strings, where a pointer is represented as a
pair <length, backward distance>.  The representation used in the
"deflate" format limits distances to 32K bytes and lengths to 258
bytes, but does not limit the size of a block, except for
uncompressible blocks, which are limited as noted above.
Each type of value (literals, distances, and lengths) in the
compressed data is represented using a Huffman code, using one code
tree for literals and lengths and a separate code tree for distances.  The code trees for each block appear in a compact form just before
the compressed data for that block.
Deutsch                      Informational                      [Page 4]
3. Detailed specification
3.1. Overall conventions In the diagrams below, a box like this:
+---+
|  | <-- the vertical bars might be missing
+---+
represents one byte; a box like this:
+==============+
|              |
+==============+
represents a variable number of bytes.
Bytes stored within a computer do not have a "bit order", since
they are always treated as a unit.  However, a byte considered as      an integer between 0 and 255 does have a most- and least-
significant bit, and since we write numbers with the most-
significant digit on the left, we also write bytes with the most-      significant bit on the left.  In the diagrams below, we number the      bits of a byte so that bit 0 is the least-significant bit, i.e.,
the bits are numbered:
+--------+
|76543210|
+--------+
Within a computer, a number may occupy multiple bytes.  All
multi-byte numbers in the format described here are stored with
the least-significant byte first (at the lower memory address).
For example, the decimal number 520 is stored as:
0        1
+--------+--------+
|00001000|00000010|
+--------+--------+
^        ^
|        |
|        + more significant byte = 2 x 256
+ less significant byte = 8
3.1.1. Packing into bytes
This document does not address the issue of the order in which          bits of a byte are transmitted on a bit-sequential medium,
since the final data format described here is byte- rather than Deutsch                      Informational                      [Page 5]
bit-oriented.  However, we describe the compressed block format          in below, as a sequence of data elements of various bit
lengths, not a sequence of bytes.  We must therefore specify
how to pack these data elements into bytes to form the final
compressed byte sequence:
* Data elements are packed into bytes in order of
increasing bit number within the byte, i.e., starting
with the least-significant bit of the byte.
* Data elements other than Huffman codes are packed
starting with the least-significant bit of the data
element.
* Huffman codes are packed starting with the most-
significant bit of the code.
In other words, if one were to print out the compressed data as          a sequence of bytes, starting with the first byte at the
*right* margin and proceeding to the *left*, with the most-
significant bit of each byte on the left as usual, one would be          able to parse the result from right to left, with fixed-width
elements in the correct MSB-to-LSB order and Huffman codes in
bit-reversed order (i.e., with the first bit of the code in the          relative LSB position).
3.2. Compressed block format
3.2.1. Synopsis of prefix and Huffman coding
Prefix coding represents symbols from an a priori known
alphabet by bit sequences (codes), one code for each symbol, in          a manner such that different symbols may be represented by bit          sequences of different lengths, but a parser can always parse
an encoded string unambiguously symbol-by-symbol.
We define a prefix code in terms of a binary tree in which the          two edges descending from each non-leaf node are labeled 0 and          1 and in which the leaf nodes correspond one-for-one with (are          labeled with) the symbols of the alphabet; then the code for a          symbol is the sequence of 0’s and 1’s on the edges leading from          the root to the leaf labeled with that symbol.  For example: Deutsch                      Informational                      [Page 6]

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