[1049] | 1 |
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| 6 |
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| 7 | Network Working Group P. Deutsch
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| 8 | Request for Comments: 1951 Aladdin Enterprises
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| 9 | Category: Informational May 1996
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| 10 |
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| 11 |
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| 12 | DEFLATE Compressed Data Format Specification version 1.3
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| 13 |
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| 14 | Status of This Memo
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| 15 |
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| 16 | This memo provides information for the Internet community. This memo
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| 17 | does not specify an Internet standard of any kind. Distribution of
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| 18 | this memo is unlimited.
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| 19 |
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| 20 | IESG Note:
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| 21 |
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| 22 | The IESG takes no position on the validity of any Intellectual
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| 23 | Property Rights statements contained in this document.
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| 24 |
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| 25 | Notices
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| 26 |
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| 27 | Copyright (c) 1996 L. Peter Deutsch
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| 28 |
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| 29 | Permission is granted to copy and distribute this document for any
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| 30 | purpose and without charge, including translations into other
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| 31 | languages and incorporation into compilations, provided that the
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| 32 | copyright notice and this notice are preserved, and that any
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| 33 | substantive changes or deletions from the original are clearly
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| 34 | marked.
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| 35 |
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| 36 | A pointer to the latest version of this and related documentation in
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| 37 | HTML format can be found at the URL
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| 38 | <ftp://ftp.uu.net/graphics/png/documents/zlib/zdoc-index.html>.
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| 39 |
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| 40 | Abstract
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| 41 |
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| 42 | This specification defines a lossless compressed data format that
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| 43 | compresses data using a combination of the LZ77 algorithm and Huffman
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| 44 | coding, with efficiency comparable to the best currently available
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| 45 | general-purpose compression methods. The data can be produced or
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| 46 | consumed, even for an arbitrarily long sequentially presented input
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| 47 | data stream, using only an a priori bounded amount of intermediate
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| 48 | storage. The format can be implemented readily in a manner not
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| 49 | covered by patents.
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| 50 |
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| 51 |
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| 52 |
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| 53 |
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| 54 |
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| 55 |
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| 56 |
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| 57 |
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| 58 | Deutsch Informational [Page 1]
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| 59 | |
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| 60 |
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| 61 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 62 |
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| 63 |
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| 64 | Table of Contents
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| 65 |
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| 66 | 1. Introduction ................................................... 2
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| 67 | 1.1. Purpose ................................................... 2
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| 68 | 1.2. Intended audience ......................................... 3
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| 69 | 1.3. Scope ..................................................... 3
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| 70 | 1.4. Compliance ................................................ 3
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| 71 | 1.5. Definitions of terms and conventions used ................ 3
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| 72 | 1.6. Changes from previous versions ............................ 4
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| 73 | 2. Compressed representation overview ............................. 4
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| 74 | 3. Detailed specification ......................................... 5
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| 75 | 3.1. Overall conventions ....................................... 5
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| 76 | 3.1.1. Packing into bytes .................................. 5
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| 77 | 3.2. Compressed block format ................................... 6
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| 78 | 3.2.1. Synopsis of prefix and Huffman coding ............... 6
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| 79 | 3.2.2. Use of Huffman coding in the "deflate" format ....... 7
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| 80 | 3.2.3. Details of block format ............................. 9
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| 81 | 3.2.4. Non-compressed blocks (BTYPE=00) ................... 11
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| 82 | 3.2.5. Compressed blocks (length and distance codes) ...... 11
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| 83 | 3.2.6. Compression with fixed Huffman codes (BTYPE=01) .... 12
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| 84 | 3.2.7. Compression with dynamic Huffman codes (BTYPE=10) .. 13
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| 85 | 3.3. Compliance ............................................... 14
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| 86 | 4. Compression algorithm details ................................. 14
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| 87 | 5. References .................................................... 16
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| 88 | 6. Security Considerations ....................................... 16
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| 89 | 7. Source code ................................................... 16
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| 90 | 8. Acknowledgements .............................................. 16
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| 91 | 9. Author's Address .............................................. 17
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| 92 |
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| 93 | 1. Introduction
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| 94 |
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| 95 | 1.1. Purpose
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| 96 |
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| 97 | The purpose of this specification is to define a lossless
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| 98 | compressed data format that:
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| 99 | * Is independent of CPU type, operating system, file system,
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| 100 | and character set, and hence can be used for interchange;
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| 101 | * Can be produced or consumed, even for an arbitrarily long
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| 102 | sequentially presented input data stream, using only an a
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| 103 | priori bounded amount of intermediate storage, and hence
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| 104 | can be used in data communications or similar structures
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| 105 | such as Unix filters;
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| 106 | * Compresses data with efficiency comparable to the best
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| 107 | currently available general-purpose compression methods,
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| 108 | and in particular considerably better than the "compress"
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| 109 | program;
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| 110 | * Can be implemented readily in a manner not covered by
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| 111 | patents, and hence can be practiced freely;
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| 112 |
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| 113 |
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| 114 |
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| 115 | Deutsch Informational [Page 2]
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| 116 | |
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| 117 |
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| 118 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 119 |
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| 120 |
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| 121 | * Is compatible with the file format produced by the current
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| 122 | widely used gzip utility, in that conforming decompressors
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| 123 | will be able to read data produced by the existing gzip
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| 124 | compressor.
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| 125 |
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| 126 | The data format defined by this specification does not attempt to:
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| 127 |
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| 128 | * Allow random access to compressed data;
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| 129 | * Compress specialized data (e.g., raster graphics) as well
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| 130 | as the best currently available specialized algorithms.
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| 131 |
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| 132 | A simple counting argument shows that no lossless compression
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| 133 | algorithm can compress every possible input data set. For the
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| 134 | format defined here, the worst case expansion is 5 bytes per 32K-
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| 135 | byte block, i.e., a size increase of 0.015% for large data sets.
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| 136 | English text usually compresses by a factor of 2.5 to 3;
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| 137 | executable files usually compress somewhat less; graphical data
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| 138 | such as raster images may compress much more.
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| 139 |
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| 140 | 1.2. Intended audience
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| 141 |
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| 142 | This specification is intended for use by implementors of software
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| 143 | to compress data into "deflate" format and/or decompress data from
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| 144 | "deflate" format.
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| 145 |
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| 146 | The text of the specification assumes a basic background in
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| 147 | programming at the level of bits and other primitive data
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| 148 | representations. Familiarity with the technique of Huffman coding
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| 149 | is helpful but not required.
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| 150 |
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| 151 | 1.3. Scope
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| 152 |
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| 153 | The specification specifies a method for representing a sequence
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| 154 | of bytes as a (usually shorter) sequence of bits, and a method for
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| 155 | packing the latter bit sequence into bytes.
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| 156 |
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| 157 | 1.4. Compliance
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| 158 |
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| 159 | Unless otherwise indicated below, a compliant decompressor must be
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| 160 | able to accept and decompress any data set that conforms to all
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| 161 | the specifications presented here; a compliant compressor must
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| 162 | produce data sets that conform to all the specifications presented
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| 163 | here.
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| 164 |
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| 165 | 1.5. Definitions of terms and conventions used
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| 166 |
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| 167 | Byte: 8 bits stored or transmitted as a unit (same as an octet).
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| 168 | For this specification, a byte is exactly 8 bits, even on machines
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| 169 |
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| 170 |
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| 171 |
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| 172 | Deutsch Informational [Page 3]
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| 173 | |
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| 174 |
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| 175 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 176 |
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| 177 |
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| 178 | which store a character on a number of bits different from eight.
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| 179 | See below, for the numbering of bits within a byte.
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| 180 |
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| 181 | String: a sequence of arbitrary bytes.
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| 182 |
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| 183 | 1.6. Changes from previous versions
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| 184 |
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| 185 | There have been no technical changes to the deflate format since
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| 186 | version 1.1 of this specification. In version 1.2, some
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| 187 | terminology was changed. Version 1.3 is a conversion of the
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| 188 | specification to RFC style.
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| 189 |
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| 190 | 2. Compressed representation overview
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| 191 |
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| 192 | A compressed data set consists of a series of blocks, corresponding
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| 193 | to successive blocks of input data. The block sizes are arbitrary,
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| 194 | except that non-compressible blocks are limited to 65,535 bytes.
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| 195 |
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| 196 | Each block is compressed using a combination of the LZ77 algorithm
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| 197 | and Huffman coding. The Huffman trees for each block are independent
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| 198 | of those for previous or subsequent blocks; the LZ77 algorithm may
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| 199 | use a reference to a duplicated string occurring in a previous block,
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| 200 | up to 32K input bytes before.
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| 201 |
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| 202 | Each block consists of two parts: a pair of Huffman code trees that
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| 203 | describe the representation of the compressed data part, and a
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| 204 | compressed data part. (The Huffman trees themselves are compressed
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| 205 | using Huffman encoding.) The compressed data consists of a series of
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| 206 | elements of two types: literal bytes (of strings that have not been
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| 207 | detected as duplicated within the previous 32K input bytes), and
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| 208 | pointers to duplicated strings, where a pointer is represented as a
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| 209 | pair <length, backward distance>. The representation used in the
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| 210 | "deflate" format limits distances to 32K bytes and lengths to 258
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| 211 | bytes, but does not limit the size of a block, except for
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| 212 | uncompressible blocks, which are limited as noted above.
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| 213 |
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| 214 | Each type of value (literals, distances, and lengths) in the
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| 215 | compressed data is represented using a Huffman code, using one code
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| 216 | tree for literals and lengths and a separate code tree for distances.
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| 217 | The code trees for each block appear in a compact form just before
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| 218 | the compressed data for that block.
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| 219 |
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| 220 |
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| 221 |
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| 222 |
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| 223 |
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| 224 |
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| 225 |
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| 226 |
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| 227 |
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| 228 |
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| 229 | Deutsch Informational [Page 4]
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| 230 | |
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| 231 |
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| 232 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 233 |
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| 234 |
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| 235 | 3. Detailed specification
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| 236 |
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| 237 | 3.1. Overall conventions In the diagrams below, a box like this:
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| 238 |
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| 239 | +---+
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| 240 | | | <-- the vertical bars might be missing
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| 241 | +---+
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| 242 |
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| 243 | represents one byte; a box like this:
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| 244 |
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| 245 | +==============+
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| 246 | | |
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| 247 | +==============+
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| 248 |
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| 249 | represents a variable number of bytes.
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| 250 |
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| 251 | Bytes stored within a computer do not have a "bit order", since
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| 252 | they are always treated as a unit. However, a byte considered as
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| 253 | an integer between 0 and 255 does have a most- and least-
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| 254 | significant bit, and since we write numbers with the most-
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| 255 | significant digit on the left, we also write bytes with the most-
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| 256 | significant bit on the left. In the diagrams below, we number the
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| 257 | bits of a byte so that bit 0 is the least-significant bit, i.e.,
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| 258 | the bits are numbered:
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| 259 |
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| 260 | +--------+
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| 261 | |76543210|
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| 262 | +--------+
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| 263 |
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| 264 | Within a computer, a number may occupy multiple bytes. All
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| 265 | multi-byte numbers in the format described here are stored with
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| 266 | the least-significant byte first (at the lower memory address).
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| 267 | For example, the decimal number 520 is stored as:
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| 268 |
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| 269 | 0 1
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| 270 | +--------+--------+
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| 271 | |00001000|00000010|
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| 272 | +--------+--------+
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| 273 | ^ ^
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| 274 | | |
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| 275 | | + more significant byte = 2 x 256
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| 276 | + less significant byte = 8
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| 277 |
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| 278 | 3.1.1. Packing into bytes
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| 279 |
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| 280 | This document does not address the issue of the order in which
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| 281 | bits of a byte are transmitted on a bit-sequential medium,
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| 282 | since the final data format described here is byte- rather than
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| 283 |
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| 284 |
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| 285 |
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| 286 | Deutsch Informational [Page 5]
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| 287 | |
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| 288 |
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| 289 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 290 |
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| 291 |
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| 292 | bit-oriented. However, we describe the compressed block format
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| 293 | in below, as a sequence of data elements of various bit
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| 294 | lengths, not a sequence of bytes. We must therefore specify
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| 295 | how to pack these data elements into bytes to form the final
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| 296 | compressed byte sequence:
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| 297 |
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| 298 | * Data elements are packed into bytes in order of
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| 299 | increasing bit number within the byte, i.e., starting
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| 300 | with the least-significant bit of the byte.
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| 301 | * Data elements other than Huffman codes are packed
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| 302 | starting with the least-significant bit of the data
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| 303 | element.
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| 304 | * Huffman codes are packed starting with the most-
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| 305 | significant bit of the code.
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| 306 |
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| 307 | In other words, if one were to print out the compressed data as
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| 308 | a sequence of bytes, starting with the first byte at the
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| 309 | *right* margin and proceeding to the *left*, with the most-
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| 310 | significant bit of each byte on the left as usual, one would be
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| 311 | able to parse the result from right to left, with fixed-width
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| 312 | elements in the correct MSB-to-LSB order and Huffman codes in
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| 313 | bit-reversed order (i.e., with the first bit of the code in the
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| 314 | relative LSB position).
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| 315 |
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| 316 | 3.2. Compressed block format
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| 317 |
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| 318 | 3.2.1. Synopsis of prefix and Huffman coding
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| 319 |
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| 320 | Prefix coding represents symbols from an a priori known
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| 321 | alphabet by bit sequences (codes), one code for each symbol, in
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| 322 | a manner such that different symbols may be represented by bit
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| 323 | sequences of different lengths, but a parser can always parse
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| 324 | an encoded string unambiguously symbol-by-symbol.
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| 325 |
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| 326 | We define a prefix code in terms of a binary tree in which the
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| 327 | two edges descending from each non-leaf node are labeled 0 and
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| 328 | 1 and in which the leaf nodes correspond one-for-one with (are
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| 329 | labeled with) the symbols of the alphabet; then the code for a
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| 330 | symbol is the sequence of 0's and 1's on the edges leading from
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| 331 | the root to the leaf labeled with that symbol. For example:
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| 332 |
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| 333 |
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| 334 |
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| 335 |
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| 336 |
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| 337 |
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| 338 |
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| 339 |
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| 340 |
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| 341 |
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| 342 |
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| 343 | Deutsch Informational [Page 6]
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| 344 | |
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| 345 |
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| 346 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 347 |
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| 348 |
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| 349 | /\ Symbol Code
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| 350 | 0 1 ------ ----
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| 351 | / \ A 00
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| 352 | /\ B B 1
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| 353 | 0 1 C 011
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| 354 | / \ D 010
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| 355 | A /\
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| 356 | 0 1
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| 357 | / \
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| 358 | D C
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| 359 |
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| 360 | A parser can decode the next symbol from an encoded input
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| 361 | stream by walking down the tree from the root, at each step
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| 362 | choosing the edge corresponding to the next input bit.
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| 363 |
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| 364 | Given an alphabet with known symbol frequencies, the Huffman
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| 365 | algorithm allows the construction of an optimal prefix code
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| 366 | (one which represents strings with those symbol frequencies
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| 367 | using the fewest bits of any possible prefix codes for that
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| 368 | alphabet). Such a code is called a Huffman code. (See
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| 369 | reference [1] in Chapter 5, references for additional
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| 370 | information on Huffman codes.)
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| 371 |
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| 372 | Note that in the "deflate" format, the Huffman codes for the
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| 373 | various alphabets must not exceed certain maximum code lengths.
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| 374 | This constraint complicates the algorithm for computing code
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| 375 | lengths from symbol frequencies. Again, see Chapter 5,
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| 376 | references for details.
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| 377 |
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| 378 | 3.2.2. Use of Huffman coding in the "deflate" format
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| 379 |
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| 380 | The Huffman codes used for each alphabet in the "deflate"
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| 381 | format have two additional rules:
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| 382 |
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| 383 | * All codes of a given bit length have lexicographically
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| 384 | consecutive values, in the same order as the symbols
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| 385 | they represent;
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| 386 |
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| 387 | * Shorter codes lexicographically precede longer codes.
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| 388 |
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| 389 |
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| 390 |
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| 391 |
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| 392 |
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| 393 |
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| 394 |
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| 395 |
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| 396 |
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| 397 |
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| 398 |
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| 399 |
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| 400 | Deutsch Informational [Page 7]
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| 401 | |
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| 402 |
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| 403 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 404 |
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| 405 |
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| 406 | We could recode the example above to follow this rule as
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| 407 | follows, assuming that the order of the alphabet is ABCD:
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| 408 |
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| 409 | Symbol Code
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| 410 | ------ ----
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| 411 | A 10
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| 412 | B 0
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| 413 | C 110
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| 414 | D 111
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| 415 |
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| 416 | I.e., 0 precedes 10 which precedes 11x, and 110 and 111 are
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| 417 | lexicographically consecutive.
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| 418 |
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| 419 | Given this rule, we can define the Huffman code for an alphabet
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| 420 | just by giving the bit lengths of the codes for each symbol of
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| 421 | the alphabet in order; this is sufficient to determine the
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| 422 | actual codes. In our example, the code is completely defined
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| 423 | by the sequence of bit lengths (2, 1, 3, 3). The following
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| 424 | algorithm generates the codes as integers, intended to be read
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| 425 | from most- to least-significant bit. The code lengths are
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| 426 | initially in tree[I].Len; the codes are produced in
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| 427 | tree[I].Code.
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| 428 |
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| 429 | 1) Count the number of codes for each code length. Let
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| 430 | bl_count[N] be the number of codes of length N, N >= 1.
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| 431 |
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| 432 | 2) Find the numerical value of the smallest code for each
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| 433 | code length:
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| 434 |
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| 435 | code = 0;
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| 436 | bl_count[0] = 0;
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| 437 | for (bits = 1; bits <= MAX_BITS; bits++) {
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| 438 | code = (code + bl_count[bits-1]) << 1;
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| 439 | next_code[bits] = code;
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| 440 | }
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| 441 |
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| 442 | 3) Assign numerical values to all codes, using consecutive
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| 443 | values for all codes of the same length with the base
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| 444 | values determined at step 2. Codes that are never used
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| 445 | (which have a bit length of zero) must not be assigned a
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| 446 | value.
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| 447 |
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| 448 | for (n = 0; n <= max_code; n++) {
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| 449 | len = tree[n].Len;
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| 450 | if (len != 0) {
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| 451 | tree[n].Code = next_code[len];
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| 452 | next_code[len]++;
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| 453 | }
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| 454 |
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| 455 |
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| 456 |
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| 457 | Deutsch Informational [Page 8]
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| 458 | |
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| 459 |
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| 460 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 461 |
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| 462 |
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| 463 | }
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| 464 |
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| 465 | Example:
|
---|
| 466 |
|
---|
| 467 | Consider the alphabet ABCDEFGH, with bit lengths (3, 3, 3, 3,
|
---|
| 468 | 3, 2, 4, 4). After step 1, we have:
|
---|
| 469 |
|
---|
| 470 | N bl_count[N]
|
---|
| 471 | - -----------
|
---|
| 472 | 2 1
|
---|
| 473 | 3 5
|
---|
| 474 | 4 2
|
---|
| 475 |
|
---|
| 476 | Step 2 computes the following next_code values:
|
---|
| 477 |
|
---|
| 478 | N next_code[N]
|
---|
| 479 | - ------------
|
---|
| 480 | 1 0
|
---|
| 481 | 2 0
|
---|
| 482 | 3 2
|
---|
| 483 | 4 14
|
---|
| 484 |
|
---|
| 485 | Step 3 produces the following code values:
|
---|
| 486 |
|
---|
| 487 | Symbol Length Code
|
---|
| 488 | ------ ------ ----
|
---|
| 489 | A 3 010
|
---|
| 490 | B 3 011
|
---|
| 491 | C 3 100
|
---|
| 492 | D 3 101
|
---|
| 493 | E 3 110
|
---|
| 494 | F 2 00
|
---|
| 495 | G 4 1110
|
---|
| 496 | H 4 1111
|
---|
| 497 |
|
---|
| 498 | 3.2.3. Details of block format
|
---|
| 499 |
|
---|
| 500 | Each block of compressed data begins with 3 header bits
|
---|
| 501 | containing the following data:
|
---|
| 502 |
|
---|
| 503 | first bit BFINAL
|
---|
| 504 | next 2 bits BTYPE
|
---|
| 505 |
|
---|
| 506 | Note that the header bits do not necessarily begin on a byte
|
---|
| 507 | boundary, since a block does not necessarily occupy an integral
|
---|
| 508 | number of bytes.
|
---|
| 509 |
|
---|
| 510 |
|
---|
| 511 |
|
---|
| 512 |
|
---|
| 513 |
|
---|
| 514 | Deutsch Informational [Page 9]
|
---|
| 515 | |
---|
| 516 |
|
---|
| 517 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 518 |
|
---|
| 519 |
|
---|
| 520 | BFINAL is set if and only if this is the last block of the data
|
---|
| 521 | set.
|
---|
| 522 |
|
---|
| 523 | BTYPE specifies how the data are compressed, as follows:
|
---|
| 524 |
|
---|
| 525 | 00 - no compression
|
---|
| 526 | 01 - compressed with fixed Huffman codes
|
---|
| 527 | 10 - compressed with dynamic Huffman codes
|
---|
| 528 | 11 - reserved (error)
|
---|
| 529 |
|
---|
| 530 | The only difference between the two compressed cases is how the
|
---|
| 531 | Huffman codes for the literal/length and distance alphabets are
|
---|
| 532 | defined.
|
---|
| 533 |
|
---|
| 534 | In all cases, the decoding algorithm for the actual data is as
|
---|
| 535 | follows:
|
---|
| 536 |
|
---|
| 537 | do
|
---|
| 538 | read block header from input stream.
|
---|
| 539 | if stored with no compression
|
---|
| 540 | skip any remaining bits in current partially
|
---|
| 541 | processed byte
|
---|
| 542 | read LEN and NLEN (see next section)
|
---|
| 543 | copy LEN bytes of data to output
|
---|
| 544 | otherwise
|
---|
| 545 | if compressed with dynamic Huffman codes
|
---|
| 546 | read representation of code trees (see
|
---|
| 547 | subsection below)
|
---|
| 548 | loop (until end of block code recognized)
|
---|
| 549 | decode literal/length value from input stream
|
---|
| 550 | if value < 256
|
---|
| 551 | copy value (literal byte) to output stream
|
---|
| 552 | otherwise
|
---|
| 553 | if value = end of block (256)
|
---|
| 554 | break from loop
|
---|
| 555 | otherwise (value = 257..285)
|
---|
| 556 | decode distance from input stream
|
---|
| 557 |
|
---|
| 558 | move backwards distance bytes in the output
|
---|
| 559 | stream, and copy length bytes from this
|
---|
| 560 | position to the output stream.
|
---|
| 561 | end loop
|
---|
| 562 | while not last block
|
---|
| 563 |
|
---|
| 564 | Note that a duplicated string reference may refer to a string
|
---|
| 565 | in a previous block; i.e., the backward distance may cross one
|
---|
| 566 | or more block boundaries. However a distance cannot refer past
|
---|
| 567 | the beginning of the output stream. (An application using a
|
---|
| 568 |
|
---|
| 569 |
|
---|
| 570 |
|
---|
| 571 | Deutsch Informational [Page 10]
|
---|
| 572 | |
---|
| 573 |
|
---|
| 574 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 575 |
|
---|
| 576 |
|
---|
| 577 | preset dictionary might discard part of the output stream; a
|
---|
| 578 | distance can refer to that part of the output stream anyway)
|
---|
| 579 | Note also that the referenced string may overlap the current
|
---|
| 580 | position; for example, if the last 2 bytes decoded have values
|
---|
| 581 | X and Y, a string reference with <length = 5, distance = 2>
|
---|
| 582 | adds X,Y,X,Y,X to the output stream.
|
---|
| 583 |
|
---|
| 584 | We now specify each compression method in turn.
|
---|
| 585 |
|
---|
| 586 | 3.2.4. Non-compressed blocks (BTYPE=00)
|
---|
| 587 |
|
---|
| 588 | Any bits of input up to the next byte boundary are ignored.
|
---|
| 589 | The rest of the block consists of the following information:
|
---|
| 590 |
|
---|
| 591 | 0 1 2 3 4...
|
---|
| 592 | +---+---+---+---+================================+
|
---|
| 593 | | LEN | NLEN |... LEN bytes of literal data...|
|
---|
| 594 | +---+---+---+---+================================+
|
---|
| 595 |
|
---|
| 596 | LEN is the number of data bytes in the block. NLEN is the
|
---|
| 597 | one's complement of LEN.
|
---|
| 598 |
|
---|
| 599 | 3.2.5. Compressed blocks (length and distance codes)
|
---|
| 600 |
|
---|
| 601 | As noted above, encoded data blocks in the "deflate" format
|
---|
| 602 | consist of sequences of symbols drawn from three conceptually
|
---|
| 603 | distinct alphabets: either literal bytes, from the alphabet of
|
---|
| 604 | byte values (0..255), or <length, backward distance> pairs,
|
---|
| 605 | where the length is drawn from (3..258) and the distance is
|
---|
| 606 | drawn from (1..32,768). In fact, the literal and length
|
---|
| 607 | alphabets are merged into a single alphabet (0..285), where
|
---|
| 608 | values 0..255 represent literal bytes, the value 256 indicates
|
---|
| 609 | end-of-block, and values 257..285 represent length codes
|
---|
| 610 | (possibly in conjunction with extra bits following the symbol
|
---|
| 611 | code) as follows:
|
---|
| 612 |
|
---|
| 613 |
|
---|
| 614 |
|
---|
| 615 |
|
---|
| 616 |
|
---|
| 617 |
|
---|
| 618 |
|
---|
| 619 |
|
---|
| 620 |
|
---|
| 621 |
|
---|
| 622 |
|
---|
| 623 |
|
---|
| 624 |
|
---|
| 625 |
|
---|
| 626 |
|
---|
| 627 |
|
---|
| 628 | Deutsch Informational [Page 11]
|
---|
| 629 | |
---|
| 630 |
|
---|
| 631 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 632 |
|
---|
| 633 |
|
---|
| 634 | Extra Extra Extra
|
---|
| 635 | Code Bits Length(s) Code Bits Lengths Code Bits Length(s)
|
---|
| 636 | ---- ---- ------ ---- ---- ------- ---- ---- -------
|
---|
| 637 | 257 0 3 267 1 15,16 277 4 67-82
|
---|
| 638 | 258 0 4 268 1 17,18 278 4 83-98
|
---|
| 639 | 259 0 5 269 2 19-22 279 4 99-114
|
---|
| 640 | 260 0 6 270 2 23-26 280 4 115-130
|
---|
| 641 | 261 0 7 271 2 27-30 281 5 131-162
|
---|
| 642 | 262 0 8 272 2 31-34 282 5 163-194
|
---|
| 643 | 263 0 9 273 3 35-42 283 5 195-226
|
---|
| 644 | 264 0 10 274 3 43-50 284 5 227-257
|
---|
| 645 | 265 1 11,12 275 3 51-58 285 0 258
|
---|
| 646 | 266 1 13,14 276 3 59-66
|
---|
| 647 |
|
---|
| 648 | The extra bits should be interpreted as a machine integer
|
---|
| 649 | stored with the most-significant bit first, e.g., bits 1110
|
---|
| 650 | represent the value 14.
|
---|
| 651 |
|
---|
| 652 | Extra Extra Extra
|
---|
| 653 | Code Bits Dist Code Bits Dist Code Bits Distance
|
---|
| 654 | ---- ---- ---- ---- ---- ------ ---- ---- --------
|
---|
| 655 | 0 0 1 10 4 33-48 20 9 1025-1536
|
---|
| 656 | 1 0 2 11 4 49-64 21 9 1537-2048
|
---|
| 657 | 2 0 3 12 5 65-96 22 10 2049-3072
|
---|
| 658 | 3 0 4 13 5 97-128 23 10 3073-4096
|
---|
| 659 | 4 1 5,6 14 6 129-192 24 11 4097-6144
|
---|
| 660 | 5 1 7,8 15 6 193-256 25 11 6145-8192
|
---|
| 661 | 6 2 9-12 16 7 257-384 26 12 8193-12288
|
---|
| 662 | 7 2 13-16 17 7 385-512 27 12 12289-16384
|
---|
| 663 | 8 3 17-24 18 8 513-768 28 13 16385-24576
|
---|
| 664 | 9 3 25-32 19 8 769-1024 29 13 24577-32768
|
---|
| 665 |
|
---|
| 666 | 3.2.6. Compression with fixed Huffman codes (BTYPE=01)
|
---|
| 667 |
|
---|
| 668 | The Huffman codes for the two alphabets are fixed, and are not
|
---|
| 669 | represented explicitly in the data. The Huffman code lengths
|
---|
| 670 | for the literal/length alphabet are:
|
---|
| 671 |
|
---|
| 672 | Lit Value Bits Codes
|
---|
| 673 | --------- ---- -----
|
---|
| 674 | 0 - 143 8 00110000 through
|
---|
| 675 | 10111111
|
---|
| 676 | 144 - 255 9 110010000 through
|
---|
| 677 | 111111111
|
---|
| 678 | 256 - 279 7 0000000 through
|
---|
| 679 | 0010111
|
---|
| 680 | 280 - 287 8 11000000 through
|
---|
| 681 | 11000111
|
---|
| 682 |
|
---|
| 683 |
|
---|
| 684 |
|
---|
| 685 | Deutsch Informational [Page 12]
|
---|
| 686 | |
---|
| 687 |
|
---|
| 688 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 689 |
|
---|
| 690 |
|
---|
| 691 | The code lengths are sufficient to generate the actual codes,
|
---|
| 692 | as described above; we show the codes in the table for added
|
---|
| 693 | clarity. Literal/length values 286-287 will never actually
|
---|
| 694 | occur in the compressed data, but participate in the code
|
---|
| 695 | construction.
|
---|
| 696 |
|
---|
| 697 | Distance codes 0-31 are represented by (fixed-length) 5-bit
|
---|
| 698 | codes, with possible additional bits as shown in the table
|
---|
| 699 | shown in Paragraph 3.2.5, above. Note that distance codes 30-
|
---|
| 700 | 31 will never actually occur in the compressed data.
|
---|
| 701 |
|
---|
| 702 | 3.2.7. Compression with dynamic Huffman codes (BTYPE=10)
|
---|
| 703 |
|
---|
| 704 | The Huffman codes for the two alphabets appear in the block
|
---|
| 705 | immediately after the header bits and before the actual
|
---|
| 706 | compressed data, first the literal/length code and then the
|
---|
| 707 | distance code. Each code is defined by a sequence of code
|
---|
| 708 | lengths, as discussed in Paragraph 3.2.2, above. For even
|
---|
| 709 | greater compactness, the code length sequences themselves are
|
---|
| 710 | compressed using a Huffman code. The alphabet for code lengths
|
---|
| 711 | is as follows:
|
---|
| 712 |
|
---|
| 713 | 0 - 15: Represent code lengths of 0 - 15
|
---|
| 714 | 16: Copy the previous code length 3 - 6 times.
|
---|
| 715 | The next 2 bits indicate repeat length
|
---|
| 716 | (0 = 3, ... , 3 = 6)
|
---|
| 717 | Example: Codes 8, 16 (+2 bits 11),
|
---|
| 718 | 16 (+2 bits 10) will expand to
|
---|
| 719 | 12 code lengths of 8 (1 + 6 + 5)
|
---|
| 720 | 17: Repeat a code length of 0 for 3 - 10 times.
|
---|
| 721 | (3 bits of length)
|
---|
| 722 | 18: Repeat a code length of 0 for 11 - 138 times
|
---|
| 723 | (7 bits of length)
|
---|
| 724 |
|
---|
| 725 | A code length of 0 indicates that the corresponding symbol in
|
---|
| 726 | the literal/length or distance alphabet will not occur in the
|
---|
| 727 | block, and should not participate in the Huffman code
|
---|
| 728 | construction algorithm given earlier. If only one distance
|
---|
| 729 | code is used, it is encoded using one bit, not zero bits; in
|
---|
| 730 | this case there is a single code length of one, with one unused
|
---|
| 731 | code. One distance code of zero bits means that there are no
|
---|
| 732 | distance codes used at all (the data is all literals).
|
---|
| 733 |
|
---|
| 734 | We can now define the format of the block:
|
---|
| 735 |
|
---|
| 736 | 5 Bits: HLIT, # of Literal/Length codes - 257 (257 - 286)
|
---|
| 737 | 5 Bits: HDIST, # of Distance codes - 1 (1 - 32)
|
---|
| 738 | 4 Bits: HCLEN, # of Code Length codes - 4 (4 - 19)
|
---|
| 739 |
|
---|
| 740 |
|
---|
| 741 |
|
---|
| 742 | Deutsch Informational [Page 13]
|
---|
| 743 | |
---|
| 744 |
|
---|
| 745 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 746 |
|
---|
| 747 |
|
---|
| 748 | (HCLEN + 4) x 3 bits: code lengths for the code length
|
---|
| 749 | alphabet given just above, in the order: 16, 17, 18,
|
---|
| 750 | 0, 8, 7, 9, 6, 10, 5, 11, 4, 12, 3, 13, 2, 14, 1, 15
|
---|
| 751 |
|
---|
| 752 | These code lengths are interpreted as 3-bit integers
|
---|
| 753 | (0-7); as above, a code length of 0 means the
|
---|
| 754 | corresponding symbol (literal/length or distance code
|
---|
| 755 | length) is not used.
|
---|
| 756 |
|
---|
| 757 | HLIT + 257 code lengths for the literal/length alphabet,
|
---|
| 758 | encoded using the code length Huffman code
|
---|
| 759 |
|
---|
| 760 | HDIST + 1 code lengths for the distance alphabet,
|
---|
| 761 | encoded using the code length Huffman code
|
---|
| 762 |
|
---|
| 763 | The actual compressed data of the block,
|
---|
| 764 | encoded using the literal/length and distance Huffman
|
---|
| 765 | codes
|
---|
| 766 |
|
---|
| 767 | The literal/length symbol 256 (end of data),
|
---|
| 768 | encoded using the literal/length Huffman code
|
---|
| 769 |
|
---|
| 770 | The code length repeat codes can cross from HLIT + 257 to the
|
---|
| 771 | HDIST + 1 code lengths. In other words, all code lengths form
|
---|
| 772 | a single sequence of HLIT + HDIST + 258 values.
|
---|
| 773 |
|
---|
| 774 | 3.3. Compliance
|
---|
| 775 |
|
---|
| 776 | A compressor may limit further the ranges of values specified in
|
---|
| 777 | the previous section and still be compliant; for example, it may
|
---|
| 778 | limit the range of backward pointers to some value smaller than
|
---|
| 779 | 32K. Similarly, a compressor may limit the size of blocks so that
|
---|
| 780 | a compressible block fits in memory.
|
---|
| 781 |
|
---|
| 782 | A compliant decompressor must accept the full range of possible
|
---|
| 783 | values defined in the previous section, and must accept blocks of
|
---|
| 784 | arbitrary size.
|
---|
| 785 |
|
---|
| 786 | 4. Compression algorithm details
|
---|
| 787 |
|
---|
| 788 | While it is the intent of this document to define the "deflate"
|
---|
| 789 | compressed data format without reference to any particular
|
---|
| 790 | compression algorithm, the format is related to the compressed
|
---|
| 791 | formats produced by LZ77 (Lempel-Ziv 1977, see reference [2] below);
|
---|
| 792 | since many variations of LZ77 are patented, it is strongly
|
---|
| 793 | recommended that the implementor of a compressor follow the general
|
---|
| 794 | algorithm presented here, which is known not to be patented per se.
|
---|
| 795 | The material in this section is not part of the definition of the
|
---|
| 796 |
|
---|
| 797 |
|
---|
| 798 |
|
---|
| 799 | Deutsch Informational [Page 14]
|
---|
| 800 | |
---|
| 801 |
|
---|
| 802 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 803 |
|
---|
| 804 |
|
---|
| 805 | specification per se, and a compressor need not follow it in order to
|
---|
| 806 | be compliant.
|
---|
| 807 |
|
---|
| 808 | The compressor terminates a block when it determines that starting a
|
---|
| 809 | new block with fresh trees would be useful, or when the block size
|
---|
| 810 | fills up the compressor's block buffer.
|
---|
| 811 |
|
---|
| 812 | The compressor uses a chained hash table to find duplicated strings,
|
---|
| 813 | using a hash function that operates on 3-byte sequences. At any
|
---|
| 814 | given point during compression, let XYZ be the next 3 input bytes to
|
---|
| 815 | be examined (not necessarily all different, of course). First, the
|
---|
| 816 | compressor examines the hash chain for XYZ. If the chain is empty,
|
---|
| 817 | the compressor simply writes out X as a literal byte and advances one
|
---|
| 818 | byte in the input. If the hash chain is not empty, indicating that
|
---|
| 819 | the sequence XYZ (or, if we are unlucky, some other 3 bytes with the
|
---|
| 820 | same hash function value) has occurred recently, the compressor
|
---|
| 821 | compares all strings on the XYZ hash chain with the actual input data
|
---|
| 822 | sequence starting at the current point, and selects the longest
|
---|
| 823 | match.
|
---|
| 824 |
|
---|
| 825 | The compressor searches the hash chains starting with the most recent
|
---|
| 826 | strings, to favor small distances and thus take advantage of the
|
---|
| 827 | Huffman encoding. The hash chains are singly linked. There are no
|
---|
| 828 | deletions from the hash chains; the algorithm simply discards matches
|
---|
| 829 | that are too old. To avoid a worst-case situation, very long hash
|
---|
| 830 | chains are arbitrarily truncated at a certain length, determined by a
|
---|
| 831 | run-time parameter.
|
---|
| 832 |
|
---|
| 833 | To improve overall compression, the compressor optionally defers the
|
---|
| 834 | selection of matches ("lazy matching"): after a match of length N has
|
---|
| 835 | been found, the compressor searches for a longer match starting at
|
---|
| 836 | the next input byte. If it finds a longer match, it truncates the
|
---|
| 837 | previous match to a length of one (thus producing a single literal
|
---|
| 838 | byte) and then emits the longer match. Otherwise, it emits the
|
---|
| 839 | original match, and, as described above, advances N bytes before
|
---|
| 840 | continuing.
|
---|
| 841 |
|
---|
| 842 | Run-time parameters also control this "lazy match" procedure. If
|
---|
| 843 | compression ratio is most important, the compressor attempts a
|
---|
| 844 | complete second search regardless of the length of the first match.
|
---|
| 845 | In the normal case, if the current match is "long enough", the
|
---|
| 846 | compressor reduces the search for a longer match, thus speeding up
|
---|
| 847 | the process. If speed is most important, the compressor inserts new
|
---|
| 848 | strings in the hash table only when no match was found, or when the
|
---|
| 849 | match is not "too long". This degrades the compression ratio but
|
---|
| 850 | saves time since there are both fewer insertions and fewer searches.
|
---|
| 851 |
|
---|
| 852 |
|
---|
| 853 |
|
---|
| 854 |
|
---|
| 855 |
|
---|
| 856 | Deutsch Informational [Page 15]
|
---|
| 857 | |
---|
| 858 |
|
---|
| 859 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
---|
| 860 |
|
---|
| 861 |
|
---|
| 862 | 5. References
|
---|
| 863 |
|
---|
| 864 | [1] Huffman, D. A., "A Method for the Construction of Minimum
|
---|
| 865 | Redundancy Codes", Proceedings of the Institute of Radio
|
---|
| 866 | Engineers, September 1952, Volume 40, Number 9, pp. 1098-1101.
|
---|
| 867 |
|
---|
| 868 | [2] Ziv J., Lempel A., "A Universal Algorithm for Sequential Data
|
---|
| 869 | Compression", IEEE Transactions on Information Theory, Vol. 23,
|
---|
| 870 | No. 3, pp. 337-343.
|
---|
| 871 |
|
---|
| 872 | [3] Gailly, J.-L., and Adler, M., ZLIB documentation and sources,
|
---|
| 873 | available in ftp://ftp.uu.net/pub/archiving/zip/doc/
|
---|
| 874 |
|
---|
| 875 | [4] Gailly, J.-L., and Adler, M., GZIP documentation and sources,
|
---|
| 876 | available as gzip-*.tar in ftp://prep.ai.mit.edu/pub/gnu/
|
---|
| 877 |
|
---|
| 878 | [5] Schwartz, E. S., and Kallick, B. "Generating a canonical prefix
|
---|
| 879 | encoding." Comm. ACM, 7,3 (Mar. 1964), pp. 166-169.
|
---|
| 880 |
|
---|
| 881 | [6] Hirschberg and Lelewer, "Efficient decoding of prefix codes,"
|
---|
| 882 | Comm. ACM, 33,4, April 1990, pp. 449-459.
|
---|
| 883 |
|
---|
| 884 | 6. Security Considerations
|
---|
| 885 |
|
---|
| 886 | Any data compression method involves the reduction of redundancy in
|
---|
| 887 | the data. Consequently, any corruption of the data is likely to have
|
---|
| 888 | severe effects and be difficult to correct. Uncompressed text, on
|
---|
| 889 | the other hand, will probably still be readable despite the presence
|
---|
| 890 | of some corrupted bytes.
|
---|
| 891 |
|
---|
| 892 | It is recommended that systems using this data format provide some
|
---|
| 893 | means of validating the integrity of the compressed data. See
|
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| 894 | reference [3], for example.
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| 895 |
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| 896 | 7. Source code
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| 897 |
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| 898 | Source code for a C language implementation of a "deflate" compliant
|
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| 899 | compressor and decompressor is available within the zlib package at
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| 900 | ftp://ftp.uu.net/pub/archiving/zip/zlib/.
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| 901 |
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| 902 | 8. Acknowledgements
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| 903 |
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| 904 | Trademarks cited in this document are the property of their
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| 905 | respective owners.
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| 906 |
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| 907 | Phil Katz designed the deflate format. Jean-Loup Gailly and Mark
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| 908 | Adler wrote the related software described in this specification.
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| 909 | Glenn Randers-Pehrson converted this document to RFC and HTML format.
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| 910 |
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| 911 |
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| 912 |
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| 913 | Deutsch Informational [Page 16]
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| 914 | |
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| 915 |
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| 916 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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| 917 |
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| 918 |
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| 919 | 9. Author's Address
|
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| 920 |
|
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| 921 | L. Peter Deutsch
|
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| 922 | Aladdin Enterprises
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| 923 | 203 Santa Margarita Ave.
|
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| 924 | Menlo Park, CA 94025
|
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| 925 |
|
---|
| 926 | Phone: (415) 322-0103 (AM only)
|
---|
| 927 | FAX: (415) 322-1734
|
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| 928 | EMail: <ghost@aladdin.com>
|
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| 929 |
|
---|
| 930 | Questions about the technical content of this specification can be
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| 931 | sent by email to:
|
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| 932 |
|
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| 933 | Jean-Loup Gailly <gzip@prep.ai.mit.edu> and
|
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| 934 | Mark Adler <madler@alumni.caltech.edu>
|
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| 935 |
|
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| 936 | Editorial comments on this specification can be sent by email to:
|
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| 937 |
|
---|
| 938 | L. Peter Deutsch <ghost@aladdin.com> and
|
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| 939 | Glenn Randers-Pehrson <randeg@alumni.rpi.edu>
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| 940 |
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| 941 |
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| 942 |
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| 966 |
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| 967 |
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| 968 |
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| 969 |
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| 970 | Deutsch Informational [Page 17]
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| 971 | |
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| 972 |
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