]>
Commit | Line | Data |
---|---|---|
5ca28f79 L |
1 | |
2 | ||
3 | ||
4 | ||
5 | ||
6 | ||
7 | Network Working Group P. Deutsch | |
8 | Request for Comments: 1951 Aladdin Enterprises | |
9 | Category: Informational May 1996 | |
10 | ||
11 | ||
12 | DEFLATE Compressed Data Format Specification version 1.3 | |
13 | ||
14 | Status of This Memo | |
15 | ||
16 | This memo provides information for the Internet community. This memo | |
17 | does not specify an Internet standard of any kind. Distribution of | |
18 | this memo is unlimited. | |
19 | ||
20 | IESG Note: | |
21 | ||
22 | The IESG takes no position on the validity of any Intellectual | |
23 | Property Rights statements contained in this document. | |
24 | ||
25 | Notices | |
26 | ||
27 | Copyright (c) 1996 L. Peter Deutsch | |
28 | ||
29 | Permission is granted to copy and distribute this document for any | |
30 | purpose and without charge, including translations into other | |
31 | languages and incorporation into compilations, provided that the | |
32 | copyright notice and this notice are preserved, and that any | |
33 | substantive changes or deletions from the original are clearly | |
34 | marked. | |
35 | ||
36 | A pointer to the latest version of this and related documentation in | |
37 | HTML format can be found at the URL | |
38 | <ftp://ftp.uu.net/graphics/png/documents/zlib/zdoc-index.html>. | |
39 | ||
40 | Abstract | |
41 | ||
42 | This specification defines a lossless compressed data format that | |
43 | compresses data using a combination of the LZ77 algorithm and Huffman | |
44 | coding, with efficiency comparable to the best currently available | |
45 | general-purpose compression methods. The data can be produced or | |
46 | consumed, even for an arbitrarily long sequentially presented input | |
47 | data stream, using only an a priori bounded amount of intermediate | |
48 | storage. The format can be implemented readily in a manner not | |
49 | covered by patents. | |
50 | ||
51 | ||
52 | ||
53 | ||
54 | ||
55 | ||
56 | ||
57 | ||
58 | Deutsch Informational [Page 1] | |
59 | \f | |
60 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
61 | ||
62 | ||
63 | Table of Contents | |
64 | ||
65 | 1. Introduction ................................................... 2 | |
66 | 1.1. Purpose ................................................... 2 | |
67 | 1.2. Intended audience ......................................... 3 | |
68 | 1.3. Scope ..................................................... 3 | |
69 | 1.4. Compliance ................................................ 3 | |
70 | 1.5. Definitions of terms and conventions used ................ 3 | |
71 | 1.6. Changes from previous versions ............................ 4 | |
72 | 2. Compressed representation overview ............................. 4 | |
73 | 3. Detailed specification ......................................... 5 | |
74 | 3.1. Overall conventions ....................................... 5 | |
75 | 3.1.1. Packing into bytes .................................. 5 | |
76 | 3.2. Compressed block format ................................... 6 | |
77 | 3.2.1. Synopsis of prefix and Huffman coding ............... 6 | |
78 | 3.2.2. Use of Huffman coding in the "deflate" format ....... 7 | |
79 | 3.2.3. Details of block format ............................. 9 | |
80 | 3.2.4. Non-compressed blocks (BTYPE=00) ................... 11 | |
81 | 3.2.5. Compressed blocks (length and distance codes) ...... 11 | |
82 | 3.2.6. Compression with fixed Huffman codes (BTYPE=01) .... 12 | |
83 | 3.2.7. Compression with dynamic Huffman codes (BTYPE=10) .. 13 | |
84 | 3.3. Compliance ............................................... 14 | |
85 | 4. Compression algorithm details ................................. 14 | |
86 | 5. References .................................................... 16 | |
87 | 6. Security Considerations ....................................... 16 | |
88 | 7. Source code ................................................... 16 | |
89 | 8. Acknowledgements .............................................. 16 | |
90 | 9. Author's Address .............................................. 17 | |
91 | ||
92 | 1. Introduction | |
93 | ||
94 | 1.1. Purpose | |
95 | ||
96 | The purpose of this specification is to define a lossless | |
97 | compressed data format that: | |
98 | * Is independent of CPU type, operating system, file system, | |
99 | and character set, and hence can be used for interchange; | |
100 | * Can be produced or consumed, even for an arbitrarily long | |
101 | sequentially presented input data stream, using only an a | |
102 | priori bounded amount of intermediate storage, and hence | |
103 | can be used in data communications or similar structures | |
104 | such as Unix filters; | |
105 | * Compresses data with efficiency comparable to the best | |
106 | currently available general-purpose compression methods, | |
107 | and in particular considerably better than the "compress" | |
108 | program; | |
109 | * Can be implemented readily in a manner not covered by | |
110 | patents, and hence can be practiced freely; | |
111 | ||
112 | ||
113 | ||
114 | Deutsch Informational [Page 2] | |
115 | \f | |
116 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
117 | ||
118 | ||
119 | * Is compatible with the file format produced by the current | |
120 | widely used gzip utility, in that conforming decompressors | |
121 | will be able to read data produced by the existing gzip | |
122 | compressor. | |
123 | ||
124 | The data format defined by this specification does not attempt to: | |
125 | ||
126 | * Allow random access to compressed data; | |
127 | * Compress specialized data (e.g., raster graphics) as well | |
128 | as the best currently available specialized algorithms. | |
129 | ||
130 | A simple counting argument shows that no lossless compression | |
131 | algorithm can compress every possible input data set. For the | |
132 | format defined here, the worst case expansion is 5 bytes per 32K- | |
133 | byte block, i.e., a size increase of 0.015% for large data sets. | |
134 | English text usually compresses by a factor of 2.5 to 3; | |
135 | executable files usually compress somewhat less; graphical data | |
136 | such as raster images may compress much more. | |
137 | ||
138 | 1.2. Intended audience | |
139 | ||
140 | This specification is intended for use by implementors of software | |
141 | to compress data into "deflate" format and/or decompress data from | |
142 | "deflate" format. | |
143 | ||
144 | The text of the specification assumes a basic background in | |
145 | programming at the level of bits and other primitive data | |
146 | representations. Familiarity with the technique of Huffman coding | |
147 | is helpful but not required. | |
148 | ||
149 | 1.3. Scope | |
150 | ||
151 | The specification specifies a method for representing a sequence | |
152 | of bytes as a (usually shorter) sequence of bits, and a method for | |
153 | packing the latter bit sequence into bytes. | |
154 | ||
155 | 1.4. Compliance | |
156 | ||
157 | Unless otherwise indicated below, a compliant decompressor must be | |
158 | able to accept and decompress any data set that conforms to all | |
159 | the specifications presented here; a compliant compressor must | |
160 | produce data sets that conform to all the specifications presented | |
161 | here. | |
162 | ||
163 | 1.5. Definitions of terms and conventions used | |
164 | ||
165 | Byte: 8 bits stored or transmitted as a unit (same as an octet). | |
166 | For this specification, a byte is exactly 8 bits, even on machines | |
167 | ||
168 | ||
169 | ||
170 | Deutsch Informational [Page 3] | |
171 | \f | |
172 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
173 | ||
174 | ||
175 | which store a character on a number of bits different from eight. | |
176 | See below, for the numbering of bits within a byte. | |
177 | ||
178 | String: a sequence of arbitrary bytes. | |
179 | ||
180 | 1.6. Changes from previous versions | |
181 | ||
182 | There have been no technical changes to the deflate format since | |
183 | version 1.1 of this specification. In version 1.2, some | |
184 | terminology was changed. Version 1.3 is a conversion of the | |
185 | specification to RFC style. | |
186 | ||
187 | 2. Compressed representation overview | |
188 | ||
189 | A compressed data set consists of a series of blocks, corresponding | |
190 | to successive blocks of input data. The block sizes are arbitrary, | |
191 | except that non-compressible blocks are limited to 65,535 bytes. | |
192 | ||
193 | Each block is compressed using a combination of the LZ77 algorithm | |
194 | and Huffman coding. The Huffman trees for each block are independent | |
195 | of those for previous or subsequent blocks; the LZ77 algorithm may | |
196 | use a reference to a duplicated string occurring in a previous block, | |
197 | up to 32K input bytes before. | |
198 | ||
199 | Each block consists of two parts: a pair of Huffman code trees that | |
200 | describe the representation of the compressed data part, and a | |
201 | compressed data part. (The Huffman trees themselves are compressed | |
202 | using Huffman encoding.) The compressed data consists of a series of | |
203 | elements of two types: literal bytes (of strings that have not been | |
204 | detected as duplicated within the previous 32K input bytes), and | |
205 | pointers to duplicated strings, where a pointer is represented as a | |
206 | pair <length, backward distance>. The representation used in the | |
207 | "deflate" format limits distances to 32K bytes and lengths to 258 | |
208 | bytes, but does not limit the size of a block, except for | |
209 | uncompressible blocks, which are limited as noted above. | |
210 | ||
211 | Each type of value (literals, distances, and lengths) in the | |
212 | compressed data is represented using a Huffman code, using one code | |
213 | tree for literals and lengths and a separate code tree for distances. | |
214 | The code trees for each block appear in a compact form just before | |
215 | the compressed data for that block. | |
216 | ||
217 | ||
218 | ||
219 | ||
220 | ||
221 | ||
222 | ||
223 | ||
224 | ||
225 | ||
226 | Deutsch Informational [Page 4] | |
227 | \f | |
228 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
229 | ||
230 | ||
231 | 3. Detailed specification | |
232 | ||
233 | 3.1. Overall conventions In the diagrams below, a box like this: | |
234 | ||
235 | +---+ | |
236 | | | <-- the vertical bars might be missing | |
237 | +---+ | |
238 | ||
239 | represents one byte; a box like this: | |
240 | ||
241 | +==============+ | |
242 | | | | |
243 | +==============+ | |
244 | ||
245 | represents a variable number of bytes. | |
246 | ||
247 | Bytes stored within a computer do not have a "bit order", since | |
248 | they are always treated as a unit. However, a byte considered as | |
249 | an integer between 0 and 255 does have a most- and least- | |
250 | significant bit, and since we write numbers with the most- | |
251 | significant digit on the left, we also write bytes with the most- | |
252 | significant bit on the left. In the diagrams below, we number the | |
253 | bits of a byte so that bit 0 is the least-significant bit, i.e., | |
254 | the bits are numbered: | |
255 | ||
256 | +--------+ | |
257 | |76543210| | |
258 | +--------+ | |
259 | ||
260 | Within a computer, a number may occupy multiple bytes. All | |
261 | multi-byte numbers in the format described here are stored with | |
262 | the least-significant byte first (at the lower memory address). | |
263 | For example, the decimal number 520 is stored as: | |
264 | ||
265 | 0 1 | |
266 | +--------+--------+ | |
267 | |00001000|00000010| | |
268 | +--------+--------+ | |
269 | ^ ^ | |
270 | | | | |
271 | | + more significant byte = 2 x 256 | |
272 | + less significant byte = 8 | |
273 | ||
274 | 3.1.1. Packing into bytes | |
275 | ||
276 | This document does not address the issue of the order in which | |
277 | bits of a byte are transmitted on a bit-sequential medium, | |
278 | since the final data format described here is byte- rather than | |
279 | ||
280 | ||
281 | ||
282 | Deutsch Informational [Page 5] | |
283 | \f | |
284 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
285 | ||
286 | ||
287 | bit-oriented. However, we describe the compressed block format | |
288 | in below, as a sequence of data elements of various bit | |
289 | lengths, not a sequence of bytes. We must therefore specify | |
290 | how to pack these data elements into bytes to form the final | |
291 | compressed byte sequence: | |
292 | ||
293 | * Data elements are packed into bytes in order of | |
294 | increasing bit number within the byte, i.e., starting | |
295 | with the least-significant bit of the byte. | |
296 | * Data elements other than Huffman codes are packed | |
297 | starting with the least-significant bit of the data | |
298 | element. | |
299 | * Huffman codes are packed starting with the most- | |
300 | significant bit of the code. | |
301 | ||
302 | In other words, if one were to print out the compressed data as | |
303 | a sequence of bytes, starting with the first byte at the | |
304 | *right* margin and proceeding to the *left*, with the most- | |
305 | significant bit of each byte on the left as usual, one would be | |
306 | able to parse the result from right to left, with fixed-width | |
307 | elements in the correct MSB-to-LSB order and Huffman codes in | |
308 | bit-reversed order (i.e., with the first bit of the code in the | |
309 | relative LSB position). | |
310 | ||
311 | 3.2. Compressed block format | |
312 | ||
313 | 3.2.1. Synopsis of prefix and Huffman coding | |
314 | ||
315 | Prefix coding represents symbols from an a priori known | |
316 | alphabet by bit sequences (codes), one code for each symbol, in | |
317 | a manner such that different symbols may be represented by bit | |
318 | sequences of different lengths, but a parser can always parse | |
319 | an encoded string unambiguously symbol-by-symbol. | |
320 | ||
321 | We define a prefix code in terms of a binary tree in which the | |
322 | two edges descending from each non-leaf node are labeled 0 and | |
323 | 1 and in which the leaf nodes correspond one-for-one with (are | |
324 | labeled with) the symbols of the alphabet; then the code for a | |
325 | symbol is the sequence of 0's and 1's on the edges leading from | |
326 | the root to the leaf labeled with that symbol. For example: | |
327 | ||
328 | ||
329 | ||
330 | ||
331 | ||
332 | ||
333 | ||
334 | ||
335 | ||
336 | ||
337 | ||
338 | Deutsch Informational [Page 6] | |
339 | \f | |
340 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
341 | ||
342 | ||
343 | /\ Symbol Code | |
344 | 0 1 ------ ---- | |
345 | / \ A 00 | |
346 | /\ B B 1 | |
347 | 0 1 C 011 | |
348 | / \ D 010 | |
349 | A /\ | |
350 | 0 1 | |
351 | / \ | |
352 | D C | |
353 | ||
354 | A parser can decode the next symbol from an encoded input | |
355 | stream by walking down the tree from the root, at each step | |
356 | choosing the edge corresponding to the next input bit. | |
357 | ||
358 | Given an alphabet with known symbol frequencies, the Huffman | |
359 | algorithm allows the construction of an optimal prefix code | |
360 | (one which represents strings with those symbol frequencies | |
361 | using the fewest bits of any possible prefix codes for that | |
362 | alphabet). Such a code is called a Huffman code. (See | |
363 | reference [1] in Chapter 5, references for additional | |
364 | information on Huffman codes.) | |
365 | ||
366 | Note that in the "deflate" format, the Huffman codes for the | |
367 | various alphabets must not exceed certain maximum code lengths. | |
368 | This constraint complicates the algorithm for computing code | |
369 | lengths from symbol frequencies. Again, see Chapter 5, | |
370 | references for details. | |
371 | ||
372 | 3.2.2. Use of Huffman coding in the "deflate" format | |
373 | ||
374 | The Huffman codes used for each alphabet in the "deflate" | |
375 | format have two additional rules: | |
376 | ||
377 | * All codes of a given bit length have lexicographically | |
378 | consecutive values, in the same order as the symbols | |
379 | they represent; | |
380 | ||
381 | * Shorter codes lexicographically precede longer codes. | |
382 | ||
383 | ||
384 | ||
385 | ||
386 | ||
387 | ||
388 | ||
389 | ||
390 | ||
391 | ||
392 | ||
393 | ||
394 | Deutsch Informational [Page 7] | |
395 | \f | |
396 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
397 | ||
398 | ||
399 | We could recode the example above to follow this rule as | |
400 | follows, assuming that the order of the alphabet is ABCD: | |
401 | ||
402 | Symbol Code | |
403 | ------ ---- | |
404 | A 10 | |
405 | B 0 | |
406 | C 110 | |
407 | D 111 | |
408 | ||
409 | I.e., 0 precedes 10 which precedes 11x, and 110 and 111 are | |
410 | lexicographically consecutive. | |
411 | ||
412 | Given this rule, we can define the Huffman code for an alphabet | |
413 | just by giving the bit lengths of the codes for each symbol of | |
414 | the alphabet in order; this is sufficient to determine the | |
415 | actual codes. In our example, the code is completely defined | |
416 | by the sequence of bit lengths (2, 1, 3, 3). The following | |
417 | algorithm generates the codes as integers, intended to be read | |
418 | from most- to least-significant bit. The code lengths are | |
419 | initially in tree[I].Len; the codes are produced in | |
420 | tree[I].Code. | |
421 | ||
422 | 1) Count the number of codes for each code length. Let | |
423 | bl_count[N] be the number of codes of length N, N >= 1. | |
424 | ||
425 | 2) Find the numerical value of the smallest code for each | |
426 | code length: | |
427 | ||
428 | code = 0; | |
429 | bl_count[0] = 0; | |
430 | for (bits = 1; bits <= MAX_BITS; bits++) { | |
431 | code = (code + bl_count[bits-1]) << 1; | |
432 | next_code[bits] = code; | |
433 | } | |
434 | ||
435 | 3) Assign numerical values to all codes, using consecutive | |
436 | values for all codes of the same length with the base | |
437 | values determined at step 2. Codes that are never used | |
438 | (which have a bit length of zero) must not be assigned a | |
439 | value. | |
440 | ||
441 | for (n = 0; n <= max_code; n++) { | |
442 | len = tree[n].Len; | |
443 | if (len != 0) { | |
444 | tree[n].Code = next_code[len]; | |
445 | next_code[len]++; | |
446 | } | |
447 | ||
448 | ||
449 | ||
450 | Deutsch Informational [Page 8] | |
451 | \f | |
452 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
453 | ||
454 | ||
455 | } | |
456 | ||
457 | Example: | |
458 | ||
459 | Consider the alphabet ABCDEFGH, with bit lengths (3, 3, 3, 3, | |
460 | 3, 2, 4, 4). After step 1, we have: | |
461 | ||
462 | N bl_count[N] | |
463 | - ----------- | |
464 | 2 1 | |
465 | 3 5 | |
466 | 4 2 | |
467 | ||
468 | Step 2 computes the following next_code values: | |
469 | ||
470 | N next_code[N] | |
471 | - ------------ | |
472 | 1 0 | |
473 | 2 0 | |
474 | 3 2 | |
475 | 4 14 | |
476 | ||
477 | Step 3 produces the following code values: | |
478 | ||
479 | Symbol Length Code | |
480 | ------ ------ ---- | |
481 | A 3 010 | |
482 | B 3 011 | |
483 | C 3 100 | |
484 | D 3 101 | |
485 | E 3 110 | |
486 | F 2 00 | |
487 | G 4 1110 | |
488 | H 4 1111 | |
489 | ||
490 | 3.2.3. Details of block format | |
491 | ||
492 | Each block of compressed data begins with 3 header bits | |
493 | containing the following data: | |
494 | ||
495 | first bit BFINAL | |
496 | next 2 bits BTYPE | |
497 | ||
498 | Note that the header bits do not necessarily begin on a byte | |
499 | boundary, since a block does not necessarily occupy an integral | |
500 | number of bytes. | |
501 | ||
502 | ||
503 | ||
504 | ||
505 | ||
506 | Deutsch Informational [Page 9] | |
507 | \f | |
508 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
509 | ||
510 | ||
511 | BFINAL is set if and only if this is the last block of the data | |
512 | set. | |
513 | ||
514 | BTYPE specifies how the data are compressed, as follows: | |
515 | ||
516 | 00 - no compression | |
517 | 01 - compressed with fixed Huffman codes | |
518 | 10 - compressed with dynamic Huffman codes | |
519 | 11 - reserved (error) | |
520 | ||
521 | The only difference between the two compressed cases is how the | |
522 | Huffman codes for the literal/length and distance alphabets are | |
523 | defined. | |
524 | ||
525 | In all cases, the decoding algorithm for the actual data is as | |
526 | follows: | |
527 | ||
528 | do | |
529 | read block header from input stream. | |
530 | if stored with no compression | |
531 | skip any remaining bits in current partially | |
532 | processed byte | |
533 | read LEN and NLEN (see next section) | |
534 | copy LEN bytes of data to output | |
535 | otherwise | |
536 | if compressed with dynamic Huffman codes | |
537 | read representation of code trees (see | |
538 | subsection below) | |
539 | loop (until end of block code recognized) | |
540 | decode literal/length value from input stream | |
541 | if value < 256 | |
542 | copy value (literal byte) to output stream | |
543 | otherwise | |
544 | if value = end of block (256) | |
545 | break from loop | |
546 | otherwise (value = 257..285) | |
547 | decode distance from input stream | |
548 | ||
549 | move backwards distance bytes in the output | |
550 | stream, and copy length bytes from this | |
551 | position to the output stream. | |
552 | end loop | |
553 | while not last block | |
554 | ||
555 | Note that a duplicated string reference may refer to a string | |
556 | in a previous block; i.e., the backward distance may cross one | |
557 | or more block boundaries. However a distance cannot refer past | |
558 | the beginning of the output stream. (An application using a | |
559 | ||
560 | ||
561 | ||
562 | Deutsch Informational [Page 10] | |
563 | \f | |
564 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
565 | ||
566 | ||
567 | preset dictionary might discard part of the output stream; a | |
568 | distance can refer to that part of the output stream anyway) | |
569 | Note also that the referenced string may overlap the current | |
570 | position; for example, if the last 2 bytes decoded have values | |
571 | X and Y, a string reference with <length = 5, distance = 2> | |
572 | adds X,Y,X,Y,X to the output stream. | |
573 | ||
574 | We now specify each compression method in turn. | |
575 | ||
576 | 3.2.4. Non-compressed blocks (BTYPE=00) | |
577 | ||
578 | Any bits of input up to the next byte boundary are ignored. | |
579 | The rest of the block consists of the following information: | |
580 | ||
581 | 0 1 2 3 4... | |
582 | +---+---+---+---+================================+ | |
583 | | LEN | NLEN |... LEN bytes of literal data...| | |
584 | +---+---+---+---+================================+ | |
585 | ||
586 | LEN is the number of data bytes in the block. NLEN is the | |
587 | one's complement of LEN. | |
588 | ||
589 | 3.2.5. Compressed blocks (length and distance codes) | |
590 | ||
591 | As noted above, encoded data blocks in the "deflate" format | |
592 | consist of sequences of symbols drawn from three conceptually | |
593 | distinct alphabets: either literal bytes, from the alphabet of | |
594 | byte values (0..255), or <length, backward distance> pairs, | |
595 | where the length is drawn from (3..258) and the distance is | |
596 | drawn from (1..32,768). In fact, the literal and length | |
597 | alphabets are merged into a single alphabet (0..285), where | |
598 | values 0..255 represent literal bytes, the value 256 indicates | |
599 | end-of-block, and values 257..285 represent length codes | |
600 | (possibly in conjunction with extra bits following the symbol | |
601 | code) as follows: | |
602 | ||
603 | ||
604 | ||
605 | ||
606 | ||
607 | ||
608 | ||
609 | ||
610 | ||
611 | ||
612 | ||
613 | ||
614 | ||
615 | ||
616 | ||
617 | ||
618 | Deutsch Informational [Page 11] | |
619 | \f | |
620 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
621 | ||
622 | ||
623 | Extra Extra Extra | |
624 | Code Bits Length(s) Code Bits Lengths Code Bits Length(s) | |
625 | ---- ---- ------ ---- ---- ------- ---- ---- ------- | |
626 | 257 0 3 267 1 15,16 277 4 67-82 | |
627 | 258 0 4 268 1 17,18 278 4 83-98 | |
628 | 259 0 5 269 2 19-22 279 4 99-114 | |
629 | 260 0 6 270 2 23-26 280 4 115-130 | |
630 | 261 0 7 271 2 27-30 281 5 131-162 | |
631 | 262 0 8 272 2 31-34 282 5 163-194 | |
632 | 263 0 9 273 3 35-42 283 5 195-226 | |
633 | 264 0 10 274 3 43-50 284 5 227-257 | |
634 | 265 1 11,12 275 3 51-58 285 0 258 | |
635 | 266 1 13,14 276 3 59-66 | |
636 | ||
637 | The extra bits should be interpreted as a machine integer | |
638 | stored with the most-significant bit first, e.g., bits 1110 | |
639 | represent the value 14. | |
640 | ||
641 | Extra Extra Extra | |
642 | Code Bits Dist Code Bits Dist Code Bits Distance | |
643 | ---- ---- ---- ---- ---- ------ ---- ---- -------- | |
644 | 0 0 1 10 4 33-48 20 9 1025-1536 | |
645 | 1 0 2 11 4 49-64 21 9 1537-2048 | |
646 | 2 0 3 12 5 65-96 22 10 2049-3072 | |
647 | 3 0 4 13 5 97-128 23 10 3073-4096 | |
648 | 4 1 5,6 14 6 129-192 24 11 4097-6144 | |
649 | 5 1 7,8 15 6 193-256 25 11 6145-8192 | |
650 | 6 2 9-12 16 7 257-384 26 12 8193-12288 | |
651 | 7 2 13-16 17 7 385-512 27 12 12289-16384 | |
652 | 8 3 17-24 18 8 513-768 28 13 16385-24576 | |
653 | 9 3 25-32 19 8 769-1024 29 13 24577-32768 | |
654 | ||
655 | 3.2.6. Compression with fixed Huffman codes (BTYPE=01) | |
656 | ||
657 | The Huffman codes for the two alphabets are fixed, and are not | |
658 | represented explicitly in the data. The Huffman code lengths | |
659 | for the literal/length alphabet are: | |
660 | ||
661 | Lit Value Bits Codes | |
662 | --------- ---- ----- | |
663 | 0 - 143 8 00110000 through | |
664 | 10111111 | |
665 | 144 - 255 9 110010000 through | |
666 | 111111111 | |
667 | 256 - 279 7 0000000 through | |
668 | 0010111 | |
669 | 280 - 287 8 11000000 through | |
670 | 11000111 | |
671 | ||
672 | ||
673 | ||
674 | Deutsch Informational [Page 12] | |
675 | \f | |
676 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
677 | ||
678 | ||
679 | The code lengths are sufficient to generate the actual codes, | |
680 | as described above; we show the codes in the table for added | |
681 | clarity. Literal/length values 286-287 will never actually | |
682 | occur in the compressed data, but participate in the code | |
683 | construction. | |
684 | ||
685 | Distance codes 0-31 are represented by (fixed-length) 5-bit | |
686 | codes, with possible additional bits as shown in the table | |
687 | shown in Paragraph 3.2.5, above. Note that distance codes 30- | |
688 | 31 will never actually occur in the compressed data. | |
689 | ||
690 | 3.2.7. Compression with dynamic Huffman codes (BTYPE=10) | |
691 | ||
692 | The Huffman codes for the two alphabets appear in the block | |
693 | immediately after the header bits and before the actual | |
694 | compressed data, first the literal/length code and then the | |
695 | distance code. Each code is defined by a sequence of code | |
696 | lengths, as discussed in Paragraph 3.2.2, above. For even | |
697 | greater compactness, the code length sequences themselves are | |
698 | compressed using a Huffman code. The alphabet for code lengths | |
699 | is as follows: | |
700 | ||
701 | 0 - 15: Represent code lengths of 0 - 15 | |
702 | 16: Copy the previous code length 3 - 6 times. | |
703 | The next 2 bits indicate repeat length | |
704 | (0 = 3, ... , 3 = 6) | |
705 | Example: Codes 8, 16 (+2 bits 11), | |
706 | 16 (+2 bits 10) will expand to | |
707 | 12 code lengths of 8 (1 + 6 + 5) | |
708 | 17: Repeat a code length of 0 for 3 - 10 times. | |
709 | (3 bits of length) | |
710 | 18: Repeat a code length of 0 for 11 - 138 times | |
711 | (7 bits of length) | |
712 | ||
713 | A code length of 0 indicates that the corresponding symbol in | |
714 | the literal/length or distance alphabet will not occur in the | |
715 | block, and should not participate in the Huffman code | |
716 | construction algorithm given earlier. If only one distance | |
717 | code is used, it is encoded using one bit, not zero bits; in | |
718 | this case there is a single code length of one, with one unused | |
719 | code. One distance code of zero bits means that there are no | |
720 | distance codes used at all (the data is all literals). | |
721 | ||
722 | We can now define the format of the block: | |
723 | ||
724 | 5 Bits: HLIT, # of Literal/Length codes - 257 (257 - 286) | |
725 | 5 Bits: HDIST, # of Distance codes - 1 (1 - 32) | |
726 | 4 Bits: HCLEN, # of Code Length codes - 4 (4 - 19) | |
727 | ||
728 | ||
729 | ||
730 | Deutsch Informational [Page 13] | |
731 | \f | |
732 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
733 | ||
734 | ||
735 | (HCLEN + 4) x 3 bits: code lengths for the code length | |
736 | alphabet given just above, in the order: 16, 17, 18, | |
737 | 0, 8, 7, 9, 6, 10, 5, 11, 4, 12, 3, 13, 2, 14, 1, 15 | |
738 | ||
739 | These code lengths are interpreted as 3-bit integers | |
740 | (0-7); as above, a code length of 0 means the | |
741 | corresponding symbol (literal/length or distance code | |
742 | length) is not used. | |
743 | ||
744 | HLIT + 257 code lengths for the literal/length alphabet, | |
745 | encoded using the code length Huffman code | |
746 | ||
747 | HDIST + 1 code lengths for the distance alphabet, | |
748 | encoded using the code length Huffman code | |
749 | ||
750 | The actual compressed data of the block, | |
751 | encoded using the literal/length and distance Huffman | |
752 | codes | |
753 | ||
754 | The literal/length symbol 256 (end of data), | |
755 | encoded using the literal/length Huffman code | |
756 | ||
757 | The code length repeat codes can cross from HLIT + 257 to the | |
758 | HDIST + 1 code lengths. In other words, all code lengths form | |
759 | a single sequence of HLIT + HDIST + 258 values. | |
760 | ||
761 | 3.3. Compliance | |
762 | ||
763 | A compressor may limit further the ranges of values specified in | |
764 | the previous section and still be compliant; for example, it may | |
765 | limit the range of backward pointers to some value smaller than | |
766 | 32K. Similarly, a compressor may limit the size of blocks so that | |
767 | a compressible block fits in memory. | |
768 | ||
769 | A compliant decompressor must accept the full range of possible | |
770 | values defined in the previous section, and must accept blocks of | |
771 | arbitrary size. | |
772 | ||
773 | 4. Compression algorithm details | |
774 | ||
775 | While it is the intent of this document to define the "deflate" | |
776 | compressed data format without reference to any particular | |
777 | compression algorithm, the format is related to the compressed | |
778 | formats produced by LZ77 (Lempel-Ziv 1977, see reference [2] below); | |
779 | since many variations of LZ77 are patented, it is strongly | |
780 | recommended that the implementor of a compressor follow the general | |
781 | algorithm presented here, which is known not to be patented per se. | |
782 | The material in this section is not part of the definition of the | |
783 | ||
784 | ||
785 | ||
786 | Deutsch Informational [Page 14] | |
787 | \f | |
788 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
789 | ||
790 | ||
791 | specification per se, and a compressor need not follow it in order to | |
792 | be compliant. | |
793 | ||
794 | The compressor terminates a block when it determines that starting a | |
795 | new block with fresh trees would be useful, or when the block size | |
796 | fills up the compressor's block buffer. | |
797 | ||
798 | The compressor uses a chained hash table to find duplicated strings, | |
799 | using a hash function that operates on 3-byte sequences. At any | |
800 | given point during compression, let XYZ be the next 3 input bytes to | |
801 | be examined (not necessarily all different, of course). First, the | |
802 | compressor examines the hash chain for XYZ. If the chain is empty, | |
803 | the compressor simply writes out X as a literal byte and advances one | |
804 | byte in the input. If the hash chain is not empty, indicating that | |
805 | the sequence XYZ (or, if we are unlucky, some other 3 bytes with the | |
806 | same hash function value) has occurred recently, the compressor | |
807 | compares all strings on the XYZ hash chain with the actual input data | |
808 | sequence starting at the current point, and selects the longest | |
809 | match. | |
810 | ||
811 | The compressor searches the hash chains starting with the most recent | |
812 | strings, to favor small distances and thus take advantage of the | |
813 | Huffman encoding. The hash chains are singly linked. There are no | |
814 | deletions from the hash chains; the algorithm simply discards matches | |
815 | that are too old. To avoid a worst-case situation, very long hash | |
816 | chains are arbitrarily truncated at a certain length, determined by a | |
817 | run-time parameter. | |
818 | ||
819 | To improve overall compression, the compressor optionally defers the | |
820 | selection of matches ("lazy matching"): after a match of length N has | |
821 | been found, the compressor searches for a longer match starting at | |
822 | the next input byte. If it finds a longer match, it truncates the | |
823 | previous match to a length of one (thus producing a single literal | |
824 | byte) and then emits the longer match. Otherwise, it emits the | |
825 | original match, and, as described above, advances N bytes before | |
826 | continuing. | |
827 | ||
828 | Run-time parameters also control this "lazy match" procedure. If | |
829 | compression ratio is most important, the compressor attempts a | |
830 | complete second search regardless of the length of the first match. | |
831 | In the normal case, if the current match is "long enough", the | |
832 | compressor reduces the search for a longer match, thus speeding up | |
833 | the process. If speed is most important, the compressor inserts new | |
834 | strings in the hash table only when no match was found, or when the | |
835 | match is not "too long". This degrades the compression ratio but | |
836 | saves time since there are both fewer insertions and fewer searches. | |
837 | ||
838 | ||
839 | ||
840 | ||
841 | ||
842 | Deutsch Informational [Page 15] | |
843 | \f | |
844 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
845 | ||
846 | ||
847 | 5. References | |
848 | ||
849 | [1] Huffman, D. A., "A Method for the Construction of Minimum | |
850 | Redundancy Codes", Proceedings of the Institute of Radio | |
851 | Engineers, September 1952, Volume 40, Number 9, pp. 1098-1101. | |
852 | ||
853 | [2] Ziv J., Lempel A., "A Universal Algorithm for Sequential Data | |
854 | Compression", IEEE Transactions on Information Theory, Vol. 23, | |
855 | No. 3, pp. 337-343. | |
856 | ||
857 | [3] Gailly, J.-L., and Adler, M., ZLIB documentation and sources, | |
858 | available in ftp://ftp.uu.net/pub/archiving/zip/doc/ | |
859 | ||
860 | [4] Gailly, J.-L., and Adler, M., GZIP documentation and sources, | |
861 | available as gzip-*.tar in ftp://prep.ai.mit.edu/pub/gnu/ | |
862 | ||
863 | [5] Schwartz, E. S., and Kallick, B. "Generating a canonical prefix | |
864 | encoding." Comm. ACM, 7,3 (Mar. 1964), pp. 166-169. | |
865 | ||
866 | [6] Hirschberg and Lelewer, "Efficient decoding of prefix codes," | |
867 | Comm. ACM, 33,4, April 1990, pp. 449-459. | |
868 | ||
869 | 6. Security Considerations | |
870 | ||
871 | Any data compression method involves the reduction of redundancy in | |
872 | the data. Consequently, any corruption of the data is likely to have | |
873 | severe effects and be difficult to correct. Uncompressed text, on | |
874 | the other hand, will probably still be readable despite the presence | |
875 | of some corrupted bytes. | |
876 | ||
877 | It is recommended that systems using this data format provide some | |
878 | means of validating the integrity of the compressed data. See | |
879 | reference [3], for example. | |
880 | ||
881 | 7. Source code | |
882 | ||
883 | Source code for a C language implementation of a "deflate" compliant | |
884 | compressor and decompressor is available within the zlib package at | |
885 | ftp://ftp.uu.net/pub/archiving/zip/zlib/. | |
886 | ||
887 | 8. Acknowledgements | |
888 | ||
889 | Trademarks cited in this document are the property of their | |
890 | respective owners. | |
891 | ||
892 | Phil Katz designed the deflate format. Jean-Loup Gailly and Mark | |
893 | Adler wrote the related software described in this specification. | |
894 | Glenn Randers-Pehrson converted this document to RFC and HTML format. | |
895 | ||
896 | ||
897 | ||
898 | Deutsch Informational [Page 16] | |
899 | \f | |
900 | RFC 1951 DEFLATE Compressed Data Format Specification May 1996 | |
901 | ||
902 | ||
903 | 9. Author's Address | |
904 | ||
905 | L. Peter Deutsch | |
906 | Aladdin Enterprises | |
907 | 203 Santa Margarita Ave. | |
908 | Menlo Park, CA 94025 | |
909 | ||
910 | Phone: (415) 322-0103 (AM only) | |
911 | FAX: (415) 322-1734 | |
912 | EMail: <[email protected]> | |
913 | ||
914 | Questions about the technical content of this specification can be | |
915 | sent by email to: | |
916 | ||
917 | Jean-Loup Gailly <[email protected]> and | |
918 | Mark Adler <[email protected]> | |
919 | ||
920 | Editorial comments on this specification can be sent by email to: | |
921 | ||
922 | L. Peter Deutsch <[email protected]> and | |
923 | Glenn Randers-Pehrson <[email protected]> | |
924 | ||
925 | ||
926 | ||
927 | ||
928 | ||
929 | ||
930 | ||
931 | ||
932 | ||
933 | ||
934 | ||
935 | ||
936 | ||
937 | ||
938 | ||
939 | ||
940 | ||
941 | ||
942 | ||
943 | ||
944 | ||
945 | ||
946 | ||
947 | ||
948 | ||
949 | ||
950 | ||
951 | ||
952 | ||
953 | ||
954 | Deutsch Informational [Page 17] | |
955 | \f |