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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 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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61
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62
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63 Table of Contents
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64
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65 1. Introduction ................................................... 2
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66 1.1. Purpose ................................................... 2
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67 1.2. Intended audience ......................................... 3
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68 1.3. Scope ..................................................... 3
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69 1.4. Compliance ................................................ 3
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70 1.5. Definitions of terms and conventions used ................ 3
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71 1.6. Changes from previous versions ............................ 4
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72 2. Compressed representation overview ............................. 4
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73 3. Detailed specification ......................................... 5
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74 3.1. Overall conventions ....................................... 5
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75 3.1.1. Packing into bytes .................................. 5
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76 3.2. Compressed block format ................................... 6
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77 3.2.1. Synopsis of prefix and Huffman coding ............... 6
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78 3.2.2. Use of Huffman coding in the "deflate" format ....... 7
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79 3.2.3. Details of block format ............................. 9
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80 3.2.4. Non-compressed blocks (BTYPE=00) ................... 11
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81 3.2.5. Compressed blocks (length and distance codes) ...... 11
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82 3.2.6. Compression with fixed Huffman codes (BTYPE=01) .... 12
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83 3.2.7. Compression with dynamic Huffman codes (BTYPE=10) .. 13
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84 3.3. Compliance ............................................... 14
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85 4. Compression algorithm details ................................. 14
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86 5. References .................................................... 16
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87 6. Security Considerations ....................................... 16
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88 7. Source code ................................................... 16
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89 8. Acknowledgements .............................................. 16
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90 9. Author's Address .............................................. 17
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91
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92 1. Introduction
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93
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94 1.1. Purpose
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95
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96 The purpose of this specification is to define a lossless
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97 compressed data format that:
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98 * Is independent of CPU type, operating system, file system,
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99 and character set, and hence can be used for interchange;
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100 * Can be produced or consumed, even for an arbitrarily long
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101 sequentially presented input data stream, using only an a
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102 priori bounded amount of intermediate storage, and hence
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103 can be used in data communications or similar structures
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104 such as Unix filters;
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105 * Compresses data with efficiency comparable to the best
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106 currently available general-purpose compression methods,
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107 and in particular considerably better than the "compress"
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108 program;
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109 * Can be implemented readily in a manner not covered by
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110 patents, and hence can be practiced freely;
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111
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112
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113
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114 Deutsch Informational [Page 2]
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115
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116 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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117
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118
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119 * Is compatible with the file format produced by the current
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120 widely used gzip utility, in that conforming decompressors
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121 will be able to read data produced by the existing gzip
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122 compressor.
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123
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124 The data format defined by this specification does not attempt to:
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125
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126 * Allow random access to compressed data;
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127 * Compress specialized data (e.g., raster graphics) as well
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128 as the best currently available specialized algorithms.
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129
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130 A simple counting argument shows that no lossless compression
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131 algorithm can compress every possible input data set. For the
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132 format defined here, the worst case expansion is 5 bytes per 32K-
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133 byte block, i.e., a size increase of 0.015% for large data sets.
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134 English text usually compresses by a factor of 2.5 to 3;
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135 executable files usually compress somewhat less; graphical data
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136 such as raster images may compress much more.
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137
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138 1.2. Intended audience
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139
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140 This specification is intended for use by implementors of software
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141 to compress data into "deflate" format and/or decompress data from
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142 "deflate" format.
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143
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144 The text of the specification assumes a basic background in
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145 programming at the level of bits and other primitive data
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146 representations. Familiarity with the technique of Huffman coding
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147 is helpful but not required.
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148
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149 1.3. Scope
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150
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151 The specification specifies a method for representing a sequence
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152 of bytes as a (usually shorter) sequence of bits, and a method for
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153 packing the latter bit sequence into bytes.
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154
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155 1.4. Compliance
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156
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157 Unless otherwise indicated below, a compliant decompressor must be
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158 able to accept and decompress any data set that conforms to all
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159 the specifications presented here; a compliant compressor must
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160 produce data sets that conform to all the specifications presented
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161 here.
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162
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163 1.5. Definitions of terms and conventions used
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164
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165 Byte: 8 bits stored or transmitted as a unit (same as an octet).
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166 For this specification, a byte is exactly 8 bits, even on machines
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167
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168
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169
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170 Deutsch Informational [Page 3]
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171
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172 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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173
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174
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175 which store a character on a number of bits different from eight.
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176 See below, for the numbering of bits within a byte.
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177
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178 String: a sequence of arbitrary bytes.
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179
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180 1.6. Changes from previous versions
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181
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182 There have been no technical changes to the deflate format since
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183 version 1.1 of this specification. In version 1.2, some
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184 terminology was changed. Version 1.3 is a conversion of the
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185 specification to RFC style.
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186
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187 2. Compressed representation overview
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188
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189 A compressed data set consists of a series of blocks, corresponding
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190 to successive blocks of input data. The block sizes are arbitrary,
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191 except that non-compressible blocks are limited to 65,535 bytes.
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192
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193 Each block is compressed using a combination of the LZ77 algorithm
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194 and Huffman coding. The Huffman trees for each block are independent
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195 of those for previous or subsequent blocks; the LZ77 algorithm may
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196 use a reference to a duplicated string occurring in a previous block,
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197 up to 32K input bytes before.
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198
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199 Each block consists of two parts: a pair of Huffman code trees that
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200 describe the representation of the compressed data part, and a
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201 compressed data part. (The Huffman trees themselves are compressed
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202 using Huffman encoding.) The compressed data consists of a series of
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203 elements of two types: literal bytes (of strings that have not been
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204 detected as duplicated within the previous 32K input bytes), and
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205 pointers to duplicated strings, where a pointer is represented as a
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206 pair <length, backward distance>. The representation used in the
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207 "deflate" format limits distances to 32K bytes and lengths to 258
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208 bytes, but does not limit the size of a block, except for
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209 uncompressible blocks, which are limited as noted above.
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210
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211 Each type of value (literals, distances, and lengths) in the
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212 compressed data is represented using a Huffman code, using one code
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213 tree for literals and lengths and a separate code tree for distances.
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214 The code trees for each block appear in a compact form just before
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215 the compressed data for that block.
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216
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217
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218
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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 Deutsch Informational [Page 4]
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227
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228 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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229
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230
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231 3. Detailed specification
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232
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233 3.1. Overall conventions In the diagrams below, a box like this:
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234
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235 +---+
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236 | | <-- the vertical bars might be missing
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237 +---+
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238
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239 represents one byte; a box like this:
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240
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241 +==============+
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242 | |
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243 +==============+
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244
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245 represents a variable number of bytes.
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246
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247 Bytes stored within a computer do not have a "bit order", since
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248 they are always treated as a unit. However, a byte considered as
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249 an integer between 0 and 255 does have a most- and least-
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250 significant bit, and since we write numbers with the most-
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251 significant digit on the left, we also write bytes with the most-
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252 significant bit on the left. In the diagrams below, we number the
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253 bits of a byte so that bit 0 is the least-significant bit, i.e.,
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254 the bits are numbered:
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255
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256 +--------+
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257 |76543210|
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258 +--------+
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259
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260 Within a computer, a number may occupy multiple bytes. All
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261 multi-byte numbers in the format described here are stored with
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262 the least-significant byte first (at the lower memory address).
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263 For example, the decimal number 520 is stored as:
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264
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265 0 1
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266 +--------+--------+
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267 |00001000|00000010|
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268 +--------+--------+
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269 ^ ^
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270 | |
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271 | + more significant byte = 2 x 256
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272 + less significant byte = 8
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273
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274 3.1.1. Packing into bytes
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275
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276 This document does not address the issue of the order in which
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277 bits of a byte are transmitted on a bit-sequential medium,
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278 since the final data format described here is byte- rather than
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279
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280
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281
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282 Deutsch Informational [Page 5]
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283
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284 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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285
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286
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287 bit-oriented. However, we describe the compressed block format
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288 in below, as a sequence of data elements of various bit
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289 lengths, not a sequence of bytes. We must therefore specify
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290 how to pack these data elements into bytes to form the final
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291 compressed byte sequence:
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292
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293 * Data elements are packed into bytes in order of
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294 increasing bit number within the byte, i.e., starting
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295 with the least-significant bit of the byte.
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296 * Data elements other than Huffman codes are packed
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297 starting with the least-significant bit of the data
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298 element.
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299 * Huffman codes are packed starting with the most-
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300 significant bit of the code.
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301
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302 In other words, if one were to print out the compressed data as
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303 a sequence of bytes, starting with the first byte at the
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304 *right* margin and proceeding to the *left*, with the most-
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305 significant bit of each byte on the left as usual, one would be
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306 able to parse the result from right to left, with fixed-width
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307 elements in the correct MSB-to-LSB order and Huffman codes in
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308 bit-reversed order (i.e., with the first bit of the code in the
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309 relative LSB position).
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310
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311 3.2. Compressed block format
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312
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313 3.2.1. Synopsis of prefix and Huffman coding
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314
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315 Prefix coding represents symbols from an a priori known
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316 alphabet by bit sequences (codes), one code for each symbol, in
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317 a manner such that different symbols may be represented by bit
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318 sequences of different lengths, but a parser can always parse
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319 an encoded string unambiguously symbol-by-symbol.
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320
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321 We define a prefix code in terms of a binary tree in which the
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322 two edges descending from each non-leaf node are labeled 0 and
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323 1 and in which the leaf nodes correspond one-for-one with (are
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324 labeled with) the symbols of the alphabet; then the code for a
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325 symbol is the sequence of 0's and 1's on the edges leading from
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326 the root to the leaf labeled with that symbol. For example:
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327
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328
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329
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330
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331
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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 Deutsch Informational [Page 6]
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339
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340 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
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341
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342
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343 /\ Symbol Code
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344 0 1 ------ ----
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345 / \ A 00
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346 /\ B B 1
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347 0 1 C 011
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348 / \ D 010
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349 A /\
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350 0 1
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351 / \
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352 D C
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353
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354 A parser can decode the next symbol from an encoded input
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355 stream by walking down the tree from the root, at each step
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356 choosing the edge corresponding to the next input bit.
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357
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358 Given an alphabet with known symbol frequencies, the Huffman
|
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|
359 algorithm allows the construction of an optimal prefix code
|
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|
360 (one which represents strings with those symbol frequencies
|
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|
361 using the fewest bits of any possible prefix codes for that
|
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|
362 alphabet). Such a code is called a Huffman code. (See
|
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|
363 reference [1] in Chapter 5, references for additional
|
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|
364 information on Huffman codes.)
|
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|
365
|
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|
366 Note that in the "deflate" format, the Huffman codes for the
|
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|
367 various alphabets must not exceed certain maximum code lengths.
|
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|
368 This constraint complicates the algorithm for computing code
|
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|
369 lengths from symbol frequencies. Again, see Chapter 5,
|
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|
370 references for details.
|
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|
371
|
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|
372 3.2.2. Use of Huffman coding in the "deflate" format
|
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|
373
|
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|
374 The Huffman codes used for each alphabet in the "deflate"
|
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|
375 format have two additional rules:
|
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|
376
|
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|
377 * All codes of a given bit length have lexicographically
|
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|
378 consecutive values, in the same order as the symbols
|
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|
379 they represent;
|
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|
380
|
cannam@89
|
381 * Shorter codes lexicographically precede longer codes.
|
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|
382
|
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|
383
|
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|
384
|
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|
385
|
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|
386
|
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|
387
|
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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 Deutsch Informational [Page 7]
|
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395
|
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396 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
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397
|
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|
398
|
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|
399 We could recode the example above to follow this rule as
|
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|
400 follows, assuming that the order of the alphabet is ABCD:
|
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|
401
|
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|
402 Symbol Code
|
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|
403 ------ ----
|
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|
404 A 10
|
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|
405 B 0
|
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|
406 C 110
|
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|
407 D 111
|
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|
408
|
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|
409 I.e., 0 precedes 10 which precedes 11x, and 110 and 111 are
|
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|
410 lexicographically consecutive.
|
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|
411
|
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|
412 Given this rule, we can define the Huffman code for an alphabet
|
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|
413 just by giving the bit lengths of the codes for each symbol of
|
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|
414 the alphabet in order; this is sufficient to determine the
|
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|
415 actual codes. In our example, the code is completely defined
|
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|
416 by the sequence of bit lengths (2, 1, 3, 3). The following
|
cannam@89
|
417 algorithm generates the codes as integers, intended to be read
|
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|
418 from most- to least-significant bit. The code lengths are
|
cannam@89
|
419 initially in tree[I].Len; the codes are produced in
|
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|
420 tree[I].Code.
|
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|
421
|
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|
422 1) Count the number of codes for each code length. Let
|
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|
423 bl_count[N] be the number of codes of length N, N >= 1.
|
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|
424
|
cannam@89
|
425 2) Find the numerical value of the smallest code for each
|
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|
426 code length:
|
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|
427
|
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|
428 code = 0;
|
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|
429 bl_count[0] = 0;
|
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|
430 for (bits = 1; bits <= MAX_BITS; bits++) {
|
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|
431 code = (code + bl_count[bits-1]) << 1;
|
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|
432 next_code[bits] = code;
|
cannam@89
|
433 }
|
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|
434
|
cannam@89
|
435 3) Assign numerical values to all codes, using consecutive
|
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|
436 values for all codes of the same length with the base
|
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|
437 values determined at step 2. Codes that are never used
|
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|
438 (which have a bit length of zero) must not be assigned a
|
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|
439 value.
|
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|
440
|
cannam@89
|
441 for (n = 0; n <= max_code; n++) {
|
cannam@89
|
442 len = tree[n].Len;
|
cannam@89
|
443 if (len != 0) {
|
cannam@89
|
444 tree[n].Code = next_code[len];
|
cannam@89
|
445 next_code[len]++;
|
cannam@89
|
446 }
|
cannam@89
|
447
|
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|
448
|
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|
449
|
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|
450 Deutsch Informational [Page 8]
|
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|
451
|
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|
452 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
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|
453
|
cannam@89
|
454
|
cannam@89
|
455 }
|
cannam@89
|
456
|
cannam@89
|
457 Example:
|
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|
458
|
cannam@89
|
459 Consider the alphabet ABCDEFGH, with bit lengths (3, 3, 3, 3,
|
cannam@89
|
460 3, 2, 4, 4). After step 1, we have:
|
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|
461
|
cannam@89
|
462 N bl_count[N]
|
cannam@89
|
463 - -----------
|
cannam@89
|
464 2 1
|
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|
465 3 5
|
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|
466 4 2
|
cannam@89
|
467
|
cannam@89
|
468 Step 2 computes the following next_code values:
|
cannam@89
|
469
|
cannam@89
|
470 N next_code[N]
|
cannam@89
|
471 - ------------
|
cannam@89
|
472 1 0
|
cannam@89
|
473 2 0
|
cannam@89
|
474 3 2
|
cannam@89
|
475 4 14
|
cannam@89
|
476
|
cannam@89
|
477 Step 3 produces the following code values:
|
cannam@89
|
478
|
cannam@89
|
479 Symbol Length Code
|
cannam@89
|
480 ------ ------ ----
|
cannam@89
|
481 A 3 010
|
cannam@89
|
482 B 3 011
|
cannam@89
|
483 C 3 100
|
cannam@89
|
484 D 3 101
|
cannam@89
|
485 E 3 110
|
cannam@89
|
486 F 2 00
|
cannam@89
|
487 G 4 1110
|
cannam@89
|
488 H 4 1111
|
cannam@89
|
489
|
cannam@89
|
490 3.2.3. Details of block format
|
cannam@89
|
491
|
cannam@89
|
492 Each block of compressed data begins with 3 header bits
|
cannam@89
|
493 containing the following data:
|
cannam@89
|
494
|
cannam@89
|
495 first bit BFINAL
|
cannam@89
|
496 next 2 bits BTYPE
|
cannam@89
|
497
|
cannam@89
|
498 Note that the header bits do not necessarily begin on a byte
|
cannam@89
|
499 boundary, since a block does not necessarily occupy an integral
|
cannam@89
|
500 number of bytes.
|
cannam@89
|
501
|
cannam@89
|
502
|
cannam@89
|
503
|
cannam@89
|
504
|
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|
505
|
cannam@89
|
506 Deutsch Informational [Page 9]
|
cannam@89
|
507
|
cannam@89
|
508 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
509
|
cannam@89
|
510
|
cannam@89
|
511 BFINAL is set if and only if this is the last block of the data
|
cannam@89
|
512 set.
|
cannam@89
|
513
|
cannam@89
|
514 BTYPE specifies how the data are compressed, as follows:
|
cannam@89
|
515
|
cannam@89
|
516 00 - no compression
|
cannam@89
|
517 01 - compressed with fixed Huffman codes
|
cannam@89
|
518 10 - compressed with dynamic Huffman codes
|
cannam@89
|
519 11 - reserved (error)
|
cannam@89
|
520
|
cannam@89
|
521 The only difference between the two compressed cases is how the
|
cannam@89
|
522 Huffman codes for the literal/length and distance alphabets are
|
cannam@89
|
523 defined.
|
cannam@89
|
524
|
cannam@89
|
525 In all cases, the decoding algorithm for the actual data is as
|
cannam@89
|
526 follows:
|
cannam@89
|
527
|
cannam@89
|
528 do
|
cannam@89
|
529 read block header from input stream.
|
cannam@89
|
530 if stored with no compression
|
cannam@89
|
531 skip any remaining bits in current partially
|
cannam@89
|
532 processed byte
|
cannam@89
|
533 read LEN and NLEN (see next section)
|
cannam@89
|
534 copy LEN bytes of data to output
|
cannam@89
|
535 otherwise
|
cannam@89
|
536 if compressed with dynamic Huffman codes
|
cannam@89
|
537 read representation of code trees (see
|
cannam@89
|
538 subsection below)
|
cannam@89
|
539 loop (until end of block code recognized)
|
cannam@89
|
540 decode literal/length value from input stream
|
cannam@89
|
541 if value < 256
|
cannam@89
|
542 copy value (literal byte) to output stream
|
cannam@89
|
543 otherwise
|
cannam@89
|
544 if value = end of block (256)
|
cannam@89
|
545 break from loop
|
cannam@89
|
546 otherwise (value = 257..285)
|
cannam@89
|
547 decode distance from input stream
|
cannam@89
|
548
|
cannam@89
|
549 move backwards distance bytes in the output
|
cannam@89
|
550 stream, and copy length bytes from this
|
cannam@89
|
551 position to the output stream.
|
cannam@89
|
552 end loop
|
cannam@89
|
553 while not last block
|
cannam@89
|
554
|
cannam@89
|
555 Note that a duplicated string reference may refer to a string
|
cannam@89
|
556 in a previous block; i.e., the backward distance may cross one
|
cannam@89
|
557 or more block boundaries. However a distance cannot refer past
|
cannam@89
|
558 the beginning of the output stream. (An application using a
|
cannam@89
|
559
|
cannam@89
|
560
|
cannam@89
|
561
|
cannam@89
|
562 Deutsch Informational [Page 10]
|
cannam@89
|
563
|
cannam@89
|
564 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
565
|
cannam@89
|
566
|
cannam@89
|
567 preset dictionary might discard part of the output stream; a
|
cannam@89
|
568 distance can refer to that part of the output stream anyway)
|
cannam@89
|
569 Note also that the referenced string may overlap the current
|
cannam@89
|
570 position; for example, if the last 2 bytes decoded have values
|
cannam@89
|
571 X and Y, a string reference with <length = 5, distance = 2>
|
cannam@89
|
572 adds X,Y,X,Y,X to the output stream.
|
cannam@89
|
573
|
cannam@89
|
574 We now specify each compression method in turn.
|
cannam@89
|
575
|
cannam@89
|
576 3.2.4. Non-compressed blocks (BTYPE=00)
|
cannam@89
|
577
|
cannam@89
|
578 Any bits of input up to the next byte boundary are ignored.
|
cannam@89
|
579 The rest of the block consists of the following information:
|
cannam@89
|
580
|
cannam@89
|
581 0 1 2 3 4...
|
cannam@89
|
582 +---+---+---+---+================================+
|
cannam@89
|
583 | LEN | NLEN |... LEN bytes of literal data...|
|
cannam@89
|
584 +---+---+---+---+================================+
|
cannam@89
|
585
|
cannam@89
|
586 LEN is the number of data bytes in the block. NLEN is the
|
cannam@89
|
587 one's complement of LEN.
|
cannam@89
|
588
|
cannam@89
|
589 3.2.5. Compressed blocks (length and distance codes)
|
cannam@89
|
590
|
cannam@89
|
591 As noted above, encoded data blocks in the "deflate" format
|
cannam@89
|
592 consist of sequences of symbols drawn from three conceptually
|
cannam@89
|
593 distinct alphabets: either literal bytes, from the alphabet of
|
cannam@89
|
594 byte values (0..255), or <length, backward distance> pairs,
|
cannam@89
|
595 where the length is drawn from (3..258) and the distance is
|
cannam@89
|
596 drawn from (1..32,768). In fact, the literal and length
|
cannam@89
|
597 alphabets are merged into a single alphabet (0..285), where
|
cannam@89
|
598 values 0..255 represent literal bytes, the value 256 indicates
|
cannam@89
|
599 end-of-block, and values 257..285 represent length codes
|
cannam@89
|
600 (possibly in conjunction with extra bits following the symbol
|
cannam@89
|
601 code) as follows:
|
cannam@89
|
602
|
cannam@89
|
603
|
cannam@89
|
604
|
cannam@89
|
605
|
cannam@89
|
606
|
cannam@89
|
607
|
cannam@89
|
608
|
cannam@89
|
609
|
cannam@89
|
610
|
cannam@89
|
611
|
cannam@89
|
612
|
cannam@89
|
613
|
cannam@89
|
614
|
cannam@89
|
615
|
cannam@89
|
616
|
cannam@89
|
617
|
cannam@89
|
618 Deutsch Informational [Page 11]
|
cannam@89
|
619
|
cannam@89
|
620 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
621
|
cannam@89
|
622
|
cannam@89
|
623 Extra Extra Extra
|
cannam@89
|
624 Code Bits Length(s) Code Bits Lengths Code Bits Length(s)
|
cannam@89
|
625 ---- ---- ------ ---- ---- ------- ---- ---- -------
|
cannam@89
|
626 257 0 3 267 1 15,16 277 4 67-82
|
cannam@89
|
627 258 0 4 268 1 17,18 278 4 83-98
|
cannam@89
|
628 259 0 5 269 2 19-22 279 4 99-114
|
cannam@89
|
629 260 0 6 270 2 23-26 280 4 115-130
|
cannam@89
|
630 261 0 7 271 2 27-30 281 5 131-162
|
cannam@89
|
631 262 0 8 272 2 31-34 282 5 163-194
|
cannam@89
|
632 263 0 9 273 3 35-42 283 5 195-226
|
cannam@89
|
633 264 0 10 274 3 43-50 284 5 227-257
|
cannam@89
|
634 265 1 11,12 275 3 51-58 285 0 258
|
cannam@89
|
635 266 1 13,14 276 3 59-66
|
cannam@89
|
636
|
cannam@89
|
637 The extra bits should be interpreted as a machine integer
|
cannam@89
|
638 stored with the most-significant bit first, e.g., bits 1110
|
cannam@89
|
639 represent the value 14.
|
cannam@89
|
640
|
cannam@89
|
641 Extra Extra Extra
|
cannam@89
|
642 Code Bits Dist Code Bits Dist Code Bits Distance
|
cannam@89
|
643 ---- ---- ---- ---- ---- ------ ---- ---- --------
|
cannam@89
|
644 0 0 1 10 4 33-48 20 9 1025-1536
|
cannam@89
|
645 1 0 2 11 4 49-64 21 9 1537-2048
|
cannam@89
|
646 2 0 3 12 5 65-96 22 10 2049-3072
|
cannam@89
|
647 3 0 4 13 5 97-128 23 10 3073-4096
|
cannam@89
|
648 4 1 5,6 14 6 129-192 24 11 4097-6144
|
cannam@89
|
649 5 1 7,8 15 6 193-256 25 11 6145-8192
|
cannam@89
|
650 6 2 9-12 16 7 257-384 26 12 8193-12288
|
cannam@89
|
651 7 2 13-16 17 7 385-512 27 12 12289-16384
|
cannam@89
|
652 8 3 17-24 18 8 513-768 28 13 16385-24576
|
cannam@89
|
653 9 3 25-32 19 8 769-1024 29 13 24577-32768
|
cannam@89
|
654
|
cannam@89
|
655 3.2.6. Compression with fixed Huffman codes (BTYPE=01)
|
cannam@89
|
656
|
cannam@89
|
657 The Huffman codes for the two alphabets are fixed, and are not
|
cannam@89
|
658 represented explicitly in the data. The Huffman code lengths
|
cannam@89
|
659 for the literal/length alphabet are:
|
cannam@89
|
660
|
cannam@89
|
661 Lit Value Bits Codes
|
cannam@89
|
662 --------- ---- -----
|
cannam@89
|
663 0 - 143 8 00110000 through
|
cannam@89
|
664 10111111
|
cannam@89
|
665 144 - 255 9 110010000 through
|
cannam@89
|
666 111111111
|
cannam@89
|
667 256 - 279 7 0000000 through
|
cannam@89
|
668 0010111
|
cannam@89
|
669 280 - 287 8 11000000 through
|
cannam@89
|
670 11000111
|
cannam@89
|
671
|
cannam@89
|
672
|
cannam@89
|
673
|
cannam@89
|
674 Deutsch Informational [Page 12]
|
cannam@89
|
675
|
cannam@89
|
676 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
677
|
cannam@89
|
678
|
cannam@89
|
679 The code lengths are sufficient to generate the actual codes,
|
cannam@89
|
680 as described above; we show the codes in the table for added
|
cannam@89
|
681 clarity. Literal/length values 286-287 will never actually
|
cannam@89
|
682 occur in the compressed data, but participate in the code
|
cannam@89
|
683 construction.
|
cannam@89
|
684
|
cannam@89
|
685 Distance codes 0-31 are represented by (fixed-length) 5-bit
|
cannam@89
|
686 codes, with possible additional bits as shown in the table
|
cannam@89
|
687 shown in Paragraph 3.2.5, above. Note that distance codes 30-
|
cannam@89
|
688 31 will never actually occur in the compressed data.
|
cannam@89
|
689
|
cannam@89
|
690 3.2.7. Compression with dynamic Huffman codes (BTYPE=10)
|
cannam@89
|
691
|
cannam@89
|
692 The Huffman codes for the two alphabets appear in the block
|
cannam@89
|
693 immediately after the header bits and before the actual
|
cannam@89
|
694 compressed data, first the literal/length code and then the
|
cannam@89
|
695 distance code. Each code is defined by a sequence of code
|
cannam@89
|
696 lengths, as discussed in Paragraph 3.2.2, above. For even
|
cannam@89
|
697 greater compactness, the code length sequences themselves are
|
cannam@89
|
698 compressed using a Huffman code. The alphabet for code lengths
|
cannam@89
|
699 is as follows:
|
cannam@89
|
700
|
cannam@89
|
701 0 - 15: Represent code lengths of 0 - 15
|
cannam@89
|
702 16: Copy the previous code length 3 - 6 times.
|
cannam@89
|
703 The next 2 bits indicate repeat length
|
cannam@89
|
704 (0 = 3, ... , 3 = 6)
|
cannam@89
|
705 Example: Codes 8, 16 (+2 bits 11),
|
cannam@89
|
706 16 (+2 bits 10) will expand to
|
cannam@89
|
707 12 code lengths of 8 (1 + 6 + 5)
|
cannam@89
|
708 17: Repeat a code length of 0 for 3 - 10 times.
|
cannam@89
|
709 (3 bits of length)
|
cannam@89
|
710 18: Repeat a code length of 0 for 11 - 138 times
|
cannam@89
|
711 (7 bits of length)
|
cannam@89
|
712
|
cannam@89
|
713 A code length of 0 indicates that the corresponding symbol in
|
cannam@89
|
714 the literal/length or distance alphabet will not occur in the
|
cannam@89
|
715 block, and should not participate in the Huffman code
|
cannam@89
|
716 construction algorithm given earlier. If only one distance
|
cannam@89
|
717 code is used, it is encoded using one bit, not zero bits; in
|
cannam@89
|
718 this case there is a single code length of one, with one unused
|
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|
719 code. One distance code of zero bits means that there are no
|
cannam@89
|
720 distance codes used at all (the data is all literals).
|
cannam@89
|
721
|
cannam@89
|
722 We can now define the format of the block:
|
cannam@89
|
723
|
cannam@89
|
724 5 Bits: HLIT, # of Literal/Length codes - 257 (257 - 286)
|
cannam@89
|
725 5 Bits: HDIST, # of Distance codes - 1 (1 - 32)
|
cannam@89
|
726 4 Bits: HCLEN, # of Code Length codes - 4 (4 - 19)
|
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|
727
|
cannam@89
|
728
|
cannam@89
|
729
|
cannam@89
|
730 Deutsch Informational [Page 13]
|
cannam@89
|
731
|
cannam@89
|
732 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
733
|
cannam@89
|
734
|
cannam@89
|
735 (HCLEN + 4) x 3 bits: code lengths for the code length
|
cannam@89
|
736 alphabet given just above, in the order: 16, 17, 18,
|
cannam@89
|
737 0, 8, 7, 9, 6, 10, 5, 11, 4, 12, 3, 13, 2, 14, 1, 15
|
cannam@89
|
738
|
cannam@89
|
739 These code lengths are interpreted as 3-bit integers
|
cannam@89
|
740 (0-7); as above, a code length of 0 means the
|
cannam@89
|
741 corresponding symbol (literal/length or distance code
|
cannam@89
|
742 length) is not used.
|
cannam@89
|
743
|
cannam@89
|
744 HLIT + 257 code lengths for the literal/length alphabet,
|
cannam@89
|
745 encoded using the code length Huffman code
|
cannam@89
|
746
|
cannam@89
|
747 HDIST + 1 code lengths for the distance alphabet,
|
cannam@89
|
748 encoded using the code length Huffman code
|
cannam@89
|
749
|
cannam@89
|
750 The actual compressed data of the block,
|
cannam@89
|
751 encoded using the literal/length and distance Huffman
|
cannam@89
|
752 codes
|
cannam@89
|
753
|
cannam@89
|
754 The literal/length symbol 256 (end of data),
|
cannam@89
|
755 encoded using the literal/length Huffman code
|
cannam@89
|
756
|
cannam@89
|
757 The code length repeat codes can cross from HLIT + 257 to the
|
cannam@89
|
758 HDIST + 1 code lengths. In other words, all code lengths form
|
cannam@89
|
759 a single sequence of HLIT + HDIST + 258 values.
|
cannam@89
|
760
|
cannam@89
|
761 3.3. Compliance
|
cannam@89
|
762
|
cannam@89
|
763 A compressor may limit further the ranges of values specified in
|
cannam@89
|
764 the previous section and still be compliant; for example, it may
|
cannam@89
|
765 limit the range of backward pointers to some value smaller than
|
cannam@89
|
766 32K. Similarly, a compressor may limit the size of blocks so that
|
cannam@89
|
767 a compressible block fits in memory.
|
cannam@89
|
768
|
cannam@89
|
769 A compliant decompressor must accept the full range of possible
|
cannam@89
|
770 values defined in the previous section, and must accept blocks of
|
cannam@89
|
771 arbitrary size.
|
cannam@89
|
772
|
cannam@89
|
773 4. Compression algorithm details
|
cannam@89
|
774
|
cannam@89
|
775 While it is the intent of this document to define the "deflate"
|
cannam@89
|
776 compressed data format without reference to any particular
|
cannam@89
|
777 compression algorithm, the format is related to the compressed
|
cannam@89
|
778 formats produced by LZ77 (Lempel-Ziv 1977, see reference [2] below);
|
cannam@89
|
779 since many variations of LZ77 are patented, it is strongly
|
cannam@89
|
780 recommended that the implementor of a compressor follow the general
|
cannam@89
|
781 algorithm presented here, which is known not to be patented per se.
|
cannam@89
|
782 The material in this section is not part of the definition of the
|
cannam@89
|
783
|
cannam@89
|
784
|
cannam@89
|
785
|
cannam@89
|
786 Deutsch Informational [Page 14]
|
cannam@89
|
787
|
cannam@89
|
788 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
789
|
cannam@89
|
790
|
cannam@89
|
791 specification per se, and a compressor need not follow it in order to
|
cannam@89
|
792 be compliant.
|
cannam@89
|
793
|
cannam@89
|
794 The compressor terminates a block when it determines that starting a
|
cannam@89
|
795 new block with fresh trees would be useful, or when the block size
|
cannam@89
|
796 fills up the compressor's block buffer.
|
cannam@89
|
797
|
cannam@89
|
798 The compressor uses a chained hash table to find duplicated strings,
|
cannam@89
|
799 using a hash function that operates on 3-byte sequences. At any
|
cannam@89
|
800 given point during compression, let XYZ be the next 3 input bytes to
|
cannam@89
|
801 be examined (not necessarily all different, of course). First, the
|
cannam@89
|
802 compressor examines the hash chain for XYZ. If the chain is empty,
|
cannam@89
|
803 the compressor simply writes out X as a literal byte and advances one
|
cannam@89
|
804 byte in the input. If the hash chain is not empty, indicating that
|
cannam@89
|
805 the sequence XYZ (or, if we are unlucky, some other 3 bytes with the
|
cannam@89
|
806 same hash function value) has occurred recently, the compressor
|
cannam@89
|
807 compares all strings on the XYZ hash chain with the actual input data
|
cannam@89
|
808 sequence starting at the current point, and selects the longest
|
cannam@89
|
809 match.
|
cannam@89
|
810
|
cannam@89
|
811 The compressor searches the hash chains starting with the most recent
|
cannam@89
|
812 strings, to favor small distances and thus take advantage of the
|
cannam@89
|
813 Huffman encoding. The hash chains are singly linked. There are no
|
cannam@89
|
814 deletions from the hash chains; the algorithm simply discards matches
|
cannam@89
|
815 that are too old. To avoid a worst-case situation, very long hash
|
cannam@89
|
816 chains are arbitrarily truncated at a certain length, determined by a
|
cannam@89
|
817 run-time parameter.
|
cannam@89
|
818
|
cannam@89
|
819 To improve overall compression, the compressor optionally defers the
|
cannam@89
|
820 selection of matches ("lazy matching"): after a match of length N has
|
cannam@89
|
821 been found, the compressor searches for a longer match starting at
|
cannam@89
|
822 the next input byte. If it finds a longer match, it truncates the
|
cannam@89
|
823 previous match to a length of one (thus producing a single literal
|
cannam@89
|
824 byte) and then emits the longer match. Otherwise, it emits the
|
cannam@89
|
825 original match, and, as described above, advances N bytes before
|
cannam@89
|
826 continuing.
|
cannam@89
|
827
|
cannam@89
|
828 Run-time parameters also control this "lazy match" procedure. If
|
cannam@89
|
829 compression ratio is most important, the compressor attempts a
|
cannam@89
|
830 complete second search regardless of the length of the first match.
|
cannam@89
|
831 In the normal case, if the current match is "long enough", the
|
cannam@89
|
832 compressor reduces the search for a longer match, thus speeding up
|
cannam@89
|
833 the process. If speed is most important, the compressor inserts new
|
cannam@89
|
834 strings in the hash table only when no match was found, or when the
|
cannam@89
|
835 match is not "too long". This degrades the compression ratio but
|
cannam@89
|
836 saves time since there are both fewer insertions and fewer searches.
|
cannam@89
|
837
|
cannam@89
|
838
|
cannam@89
|
839
|
cannam@89
|
840
|
cannam@89
|
841
|
cannam@89
|
842 Deutsch Informational [Page 15]
|
cannam@89
|
843
|
cannam@89
|
844 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
845
|
cannam@89
|
846
|
cannam@89
|
847 5. References
|
cannam@89
|
848
|
cannam@89
|
849 [1] Huffman, D. A., "A Method for the Construction of Minimum
|
cannam@89
|
850 Redundancy Codes", Proceedings of the Institute of Radio
|
cannam@89
|
851 Engineers, September 1952, Volume 40, Number 9, pp. 1098-1101.
|
cannam@89
|
852
|
cannam@89
|
853 [2] Ziv J., Lempel A., "A Universal Algorithm for Sequential Data
|
cannam@89
|
854 Compression", IEEE Transactions on Information Theory, Vol. 23,
|
cannam@89
|
855 No. 3, pp. 337-343.
|
cannam@89
|
856
|
cannam@89
|
857 [3] Gailly, J.-L., and Adler, M., ZLIB documentation and sources,
|
cannam@89
|
858 available in ftp://ftp.uu.net/pub/archiving/zip/doc/
|
cannam@89
|
859
|
cannam@89
|
860 [4] Gailly, J.-L., and Adler, M., GZIP documentation and sources,
|
cannam@89
|
861 available as gzip-*.tar in ftp://prep.ai.mit.edu/pub/gnu/
|
cannam@89
|
862
|
cannam@89
|
863 [5] Schwartz, E. S., and Kallick, B. "Generating a canonical prefix
|
cannam@89
|
864 encoding." Comm. ACM, 7,3 (Mar. 1964), pp. 166-169.
|
cannam@89
|
865
|
cannam@89
|
866 [6] Hirschberg and Lelewer, "Efficient decoding of prefix codes,"
|
cannam@89
|
867 Comm. ACM, 33,4, April 1990, pp. 449-459.
|
cannam@89
|
868
|
cannam@89
|
869 6. Security Considerations
|
cannam@89
|
870
|
cannam@89
|
871 Any data compression method involves the reduction of redundancy in
|
cannam@89
|
872 the data. Consequently, any corruption of the data is likely to have
|
cannam@89
|
873 severe effects and be difficult to correct. Uncompressed text, on
|
cannam@89
|
874 the other hand, will probably still be readable despite the presence
|
cannam@89
|
875 of some corrupted bytes.
|
cannam@89
|
876
|
cannam@89
|
877 It is recommended that systems using this data format provide some
|
cannam@89
|
878 means of validating the integrity of the compressed data. See
|
cannam@89
|
879 reference [3], for example.
|
cannam@89
|
880
|
cannam@89
|
881 7. Source code
|
cannam@89
|
882
|
cannam@89
|
883 Source code for a C language implementation of a "deflate" compliant
|
cannam@89
|
884 compressor and decompressor is available within the zlib package at
|
cannam@89
|
885 ftp://ftp.uu.net/pub/archiving/zip/zlib/.
|
cannam@89
|
886
|
cannam@89
|
887 8. Acknowledgements
|
cannam@89
|
888
|
cannam@89
|
889 Trademarks cited in this document are the property of their
|
cannam@89
|
890 respective owners.
|
cannam@89
|
891
|
cannam@89
|
892 Phil Katz designed the deflate format. Jean-Loup Gailly and Mark
|
cannam@89
|
893 Adler wrote the related software described in this specification.
|
cannam@89
|
894 Glenn Randers-Pehrson converted this document to RFC and HTML format.
|
cannam@89
|
895
|
cannam@89
|
896
|
cannam@89
|
897
|
cannam@89
|
898 Deutsch Informational [Page 16]
|
cannam@89
|
899
|
cannam@89
|
900 RFC 1951 DEFLATE Compressed Data Format Specification May 1996
|
cannam@89
|
901
|
cannam@89
|
902
|
cannam@89
|
903 9. Author's Address
|
cannam@89
|
904
|
cannam@89
|
905 L. Peter Deutsch
|
cannam@89
|
906 Aladdin Enterprises
|
cannam@89
|
907 203 Santa Margarita Ave.
|
cannam@89
|
908 Menlo Park, CA 94025
|
cannam@89
|
909
|
cannam@89
|
910 Phone: (415) 322-0103 (AM only)
|
cannam@89
|
911 FAX: (415) 322-1734
|
cannam@89
|
912 EMail: <ghost@aladdin.com>
|
cannam@89
|
913
|
cannam@89
|
914 Questions about the technical content of this specification can be
|
cannam@89
|
915 sent by email to:
|
cannam@89
|
916
|
cannam@89
|
917 Jean-Loup Gailly <gzip@prep.ai.mit.edu> and
|
cannam@89
|
918 Mark Adler <madler@alumni.caltech.edu>
|
cannam@89
|
919
|
cannam@89
|
920 Editorial comments on this specification can be sent by email to:
|
cannam@89
|
921
|
cannam@89
|
922 L. Peter Deutsch <ghost@aladdin.com> and
|
cannam@89
|
923 Glenn Randers-Pehrson <randeg@alumni.rpi.edu>
|
cannam@89
|
924
|
cannam@89
|
925
|
cannam@89
|
926
|
cannam@89
|
927
|
cannam@89
|
928
|
cannam@89
|
929
|
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|
930
|
cannam@89
|
931
|
cannam@89
|
932
|
cannam@89
|
933
|
cannam@89
|
934
|
cannam@89
|
935
|
cannam@89
|
936
|
cannam@89
|
937
|
cannam@89
|
938
|
cannam@89
|
939
|
cannam@89
|
940
|
cannam@89
|
941
|
cannam@89
|
942
|
cannam@89
|
943
|
cannam@89
|
944
|
cannam@89
|
945
|
cannam@89
|
946
|
cannam@89
|
947
|
cannam@89
|
948
|
cannam@89
|
949
|
cannam@89
|
950
|
cannam@89
|
951
|
cannam@89
|
952
|
cannam@89
|
953
|
cannam@89
|
954 Deutsch Informational [Page 17]
|
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|
955
|