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+J. Alakuijala
+Z. Szabadka
+ ______ _______ _______ _______ _________
+ ( __ \ ( ____ )( ___ )( ____ \\__ __/
+ | ( \ )| ( )|| ( ) || ( \/ ) (
+ | | ) || (____)|| (___) || (__ | |
+ | | | || __)| ___ || __) | |
+ | | ) || (\ ( | ( ) || ( | |
+ | (__/ )| ) \ \__| ) ( || ) | |
+ (______/ |/ \__/|/ \||/ )_(
+
+
+ DRAFT of
+ Brotli Compression Algorithm Compressed Data Format Specification 1.0
+
+Status of This Memo
+
+ This memo provides information for the Internet community. This memo
+ does not specify an Internet standard of any kind. Distribution of
+ this memo is unlimited.
+
+Notices
+
+ Copyright (c) 2013 J. Alakuijala and Z. Szabadka
+
+ Permission is granted to copy and distribute this document for any
+ purpose and without charge, including translations into other
+ languages and incorporation into compilations, provided that the
+ copyright notice and this notice are preserved, and that any
+ substantive changes or deletions from the original are clearly
+ marked.
+
+Abstract
+
+ This specification defines a lossless compressed data format that
+ compresses data using a combination of the LZ77 algorithm and Huffman
+ coding, with efficiency comparable to the best currently available
+ general-purpose compression methods.
+
+1. Introduction
+
+ 1.1. Purpose
+
+ The purpose of this specification is to define a lossless
+ compressed data format that:
+ * Is independent of CPU type, operating system, file system,
+ and character set, and hence can be used for interchange;
+ * Can be produced or consumed, even for an arbitrarily long
+ sequentially presented input data stream, using only an a
+ priori bounded amount of intermediate storage, and hence
+ can be used in data communications or similar structures,
+ such as Unix filters;
+ * Compresses data with efficiency comparable to the best
+ currently available general-purpose compression methods,
+ and in particular considerably better than the gzip program;
+ * Decompresses much faster than the LZMA implementations.
+
+ The data format defined by this specification does not attempt to:
+ * Allow random access to compressed data;
+ * Compress specialized data (e.g., raster graphics) as well
+ as the best currently available specialized algorithms.
+
+ 1.2. Intended audience
+
+ This specification is intended for use by software implementers
+ to compress data into and/or decompress data from "brotli" format.
+
+ The text of the specification assumes a basic background in
+ programming at the level of bits and other primitive data
+ representations. Familiarity with the technique of Huffman coding
+ is helpful but not required.
+
+ This specification uses heavily the notations and terminology
+ introduced in the DEFLATE format specification (RFC 1951, see
+ reference [3] below). For the sake of completeness, we always
+ include the whole text of the relevant parts of RFC 1951,
+ therefore familiarity with the DEFLATE format is helpful but not
+ required.
+
+ 1.3. Scope
+
+ The specification specifies a method for representing a sequence
+ of bytes as a (usually shorter) sequence of bits, and a method for
+ packing the latter bit sequence into bytes.
+
+ 1.4. Compliance
+
+ Unless otherwise indicated below, a compliant decompressor must be
+ able to accept and decompress any data set that conforms to all
+ the specifications presented here. A compliant compressor must
+ produce data sets that conform to all the specifications presented
+ here.
+
+ 1.5. Definitions of terms and conventions used
+
+ Byte: 8 bits stored or transmitted as a unit (same as an octet).
+ For this specification, a byte is exactly 8 bits, even on machines
+ which store a character on a number of bits different from eight.
+ See below for the numbering of bits within a byte.
+
+ String: a sequence of arbitrary bytes.
+
+ Bytes stored within a computer do not have a "bit order", since
+ they are always treated as a unit. However, a byte considered as
+ an integer between 0 and 255 does have a most- and least-
+ significant bit, and since we write numbers with the most-
+ significant digit on the left, we also write bytes with the most-
+ significant bit on the left. In the diagrams below, we number the
+ bits of a byte so that bit 0 is the least-significant bit, i.e.,
+ the bits are numbered:
+
+ +--------+
+ |76543210|
+ +--------+
+
+ Within a computer, a number may occupy multiple bytes. All
+ multi-byte numbers in the format described here are stored with
+ the least-significant byte first (at the lower memory address).
+ For example, the decimal number 520 is stored as:
+
+ 0 1
+ +--------+--------+
+ |00001000|00000010|
+ +--------+--------+
+ ^ ^
+ | |
+ | + more significant byte = 2 x 256
+ + less significant byte = 8
+
+
+ 1.5.1. Packing into bytes
+
+ This document does not address the issue of the order in which
+ bits of a byte are transmitted on a bit-sequential medium,
+ since the final data format described here is byte- rather than
+ bit-oriented. However, we describe the compressed block format
+ below as a sequence of data elements of various bit
+ lengths, not a sequence of bytes. We must therefore specify
+ how to pack these data elements into bytes to form the final
+ compressed byte sequence:
+
+ * Data elements are packed into bytes in order of
+ increasing bit number within the byte, i.e., starting
+ with the least-significant bit of the byte.
+ * Data elements other than Huffman codes are packed
+ starting with the least-significant bit of the data
+ element.
+ * Huffman codes are packed starting with the most-
+ significant bit of the code.
+
+ In other words, if one were to print out the compressed data as
+ a sequence of bytes, starting with the first byte at the
+ *right* margin and proceeding to the *left*, with the most-
+ significant bit of each byte on the left as usual, one would be
+ able to parse the result from right to left, with fixed-width
+ elements in the correct MSB-to-LSB order and Huffman codes in
+ bit-reversed order (i.e., with the first bit of the code in the
+ relative LSB position).
+
+2. Compressed representation overview
+
+ A compressed data set consists of a header and a series of meta-
+ blocks corresponding to successive meta-blocks of input data. The
+ meta-block sizes are limited to bytes and the maximum meta-block size
+ is 268,435,456 bytes.
+
+ The header contains the size of a sliding window on the input data
+ that is sufficient to keep on the intermediate storage at any given
+ point during decoding the stream.
+
+ Each meta-block is compressed using a combination of the LZ77
+ algorithm (Lempel-Ziv 1977, see reference [2] below) and Huffman
+ coding. The Huffman trees for each block are independent of those for
+ previous or subsequent blocks; the LZ77 algorithm may use a
+ reference to a duplicated string occurring in a previous meta-block,
+ up to sliding window size input bytes before.
+
+ Each meta-block consists of two parts: a meta-block header that
+ describes the representation of the compressed data part, and a
+ compressed data part. The compressed data consists of a series of
+ commands. Each command consists of two parts: a sequence of literal
+ bytes (of strings that have not been detected as duplicated within
+ the sliding window), and a pointer to a duplicated string,
+ represented as a pair <length, backward distance>.
+
+ Each command in the compressed data is represented using three kinds
+ of Huffman codes: one kind of code tree for the literal sequence
+ lengths (also referred to as literal insertion lengths) and backward
+ copy lengths (that is, a single code word represents two lengths,
+ one of the literal sequence and one of the backward copy), a separate
+ kind of code tree for literals, and a third kind of code tree for
+ distances. The code trees for each meta-block appear in a compact
+ form just before the compressed data in the meta-block header.
+
+ The sequence of each type of value in the representation of a command
+ (insert-and-copy lengths, literals and distances) within a meta-
+ block is further divided into blocks. In the "brotli" format, blocks
+ are not contiguous chunks of compressed data, but rather the pieces
+ of compressed data belonging to a block are interleaved with pieces
+ of data belonging to other blocks. Each meta-block can be logically
+ decomposed into a series of insert-and-copy length blocks, a series
+ of literal blocks and a series of distance blocks. These are also
+ called the three block categories: a meta-block has a series of
+ blocks for each block category. Note that the physical structure of
+ the meta-block is a series of commands, while the three series of
+ blocks is the logical structure. Consider the following example:
+
+ (IaC0, L0, L1, L2, D0)(IaC1, D1)(IaC2, L3, L4, D2)(IaC3, L5, D3)
+
+ The meta-block here has 4 commands, and each three types of symbols
+ within these commands can be rearranged for example into the
+ following logical block structure:
+
+ [IaC0, IaC1][IaC2, IaC3] <-- block types 0 and 1
+
+ [L0, L1][L2, L3, L4][L5] <-- block types 0, 1, and 0
+
+ [D0][D1, D2, D3] <-- block types 0 and 1
+
+ The subsequent blocks within each block category must have different
+ block types, but blocks further away in the block sequence can have
+ the same types. The block types are numbered from 0 to the maximum
+ block type number of 255 and the first block of each block category
+ must have type 0. The block structure of a meta-block is represented
+ by the sequence of block-switch commands for each block category,
+ where a block-switch command is a pair <block type, block length>.
+ The block-switch commands are represented in the compressed data
+ before the start of each new block using a Huffman code tree for
+ block types and a separate Huffman code tree for block lengths for
+ each block category. In the above example the physical layout of the
+ meta-block is the following:
+
+ IaC0 L0 L1 LBlockSwitch(1, 3) L2 D0 IaC1 DBlockSwitch(1, 1) D1
+ IaCBlockSwitch(1, 2) IaC2 L3 L4 D2 IaC3 LBlockSwitch(0, 1) D3
+
+ Note that the block switch commands for the first blocks are not part
+ of the meta-block compressed data part, they are encoded in the meta-
+ block header. The code trees for block types and lengths (total of
+ six Huffman code trees) appear in a compact form in the meta-block
+ header.
+
+ Each type of value (insert-and-copy lengths, literals and distances)
+ can be encoded with any Huffman tree from a collection of Huffman
+ trees of the same kind appearing in the meta-block header. The
+ particular Huffman tree used can depend on two factors: the block
+ type of the block the value appears in, and the context of the value.
+ In the case of the literals, the context is the previous two bytes in
+ the input data, and in the case of distances, the context is the copy
+ length from the same command. For insert-and-copy lengths, no context
+ is used and the Huffman tree depends only on the block type (in fact,
+ the index of the Huffman tree is the block type number). In the case
+ of literals and distances, the context is mapped to a context ID in
+ the rage [0, 63] for literals and [0, 3] for distances and the matrix
+ of the Huffman tree indices for each block type and context ID,
+ called the context map, is encoded in a compact form in the meta-
+ block header.
+
+ In addition to the parts listed above (Huffman code trees for insert-
+ and-copy lengths, literals, distances, block types and block lengths
+ and the context map), the meta-block header contains the number of
+ input bytes in the meta-block and two additional parameters used in
+ the representation of copy distances (number of "postfix bits" and
+ number of direct distance codes).
+
+3. Compressed representation of Huffman codes
+
+ 3.1. Introduction to prefix and Huffman coding
+
+ Prefix coding represents symbols from an a priori known alphabet
+ by bit sequences (codes), one code for each symbol, in a manner
+ such that different symbols may be represented by bit sequences of
+ different lengths, but a parser can always parse an encoded string
+ unambiguously symbol-by-symbol.
+
+ We define a prefix code in terms of a binary tree in which the two
+ edges descending from each non-leaf node are labeled 0 and 1 and
+ in which the leaf nodes correspond one-for-one with (are labeled
+ with) the symbols of the alphabet; then the code for a symbol is
+ the sequence of 0's and 1's on the edges leading from the root to
+ the leaf labeled with that symbol. For example:
+
+ /\ Symbol Code
+ 0 1 ------ ----
+ / \ A 00
+ /\ B B 1
+ 0 1 C 011
+ / \ D 010
+ A /\
+ 0 1
+ / \
+ D C
+
+ A parser can decode the next symbol from an encoded input stream
+ by walking down the tree from the root, at each step choosing the
+ edge corresponding to the next input bit.
+
+ Given an alphabet with known symbol frequencies, the Huffman
+ algorithm allows the construction of an optimal prefix code (one
+ which represents strings with those symbol frequencies using the
+ fewest bits of any possible prefix codes for that alphabet). Such
+ a code is called a Huffman code. (See reference [1] in Chapter 5,
+ references for additional information on Huffman codes.)
+
+ Note that in the "brotli" format, the Huffman codes for the
+ various alphabets must not exceed certain maximum code lengths.
+ This constraint complicates the algorithm for computing code
+ lengths from symbol frequencies. Again, see Chapter 5, references
+ for details.
+
+ 3.2. Use of Huffman coding in the "brotli" format
+
+ The Huffman codes used for each alphabet in the "brotli" format
+ are canonical Huffman codes, which have two additional rules:
+
+ * All codes of a given bit length have lexicographically
+ consecutive values, in the same order as the symbols they
+ represent;
+
+ * Shorter codes lexicographically precede longer codes.
+
+ We could recode the example above to follow this rule as follows,
+ assuming that the order of the alphabet is ABCD:
+
+ Symbol Code
+ ------ ----
+ A 10
+ B 0
+ C 110
+ D 111
+
+ I.e., 0 precedes 10 which precedes 11x, and 110 and 111 are
+ lexicographically consecutive.
+
+ Given this rule, we can define the canonical Huffman code for an
+ alphabet just by giving the bit lengths of the codes for each
+ symbol of the alphabet in order; this is sufficient to determine
+ the actual codes. In our example, the code is completely defined
+ by the sequence of bit lengths (2, 1, 3, 3). The following
+ algorithm generates the codes as integers, intended to be read
+ from most- to least-significant bit. The code lengths are
+ initially in tree[I].Len; the codes are produced in tree[I].Code.
+
+ 1) Count the number of codes for each code length. Let
+ bl_count[N] be the number of codes of length N, N >= 1.
+
+ 2) Find the numerical value of the smallest code for each
+ code length:
+
+ code = 0;
+ bl_count[0] = 0;
+ for (bits = 1; bits <= MAX_BITS; bits++) {
+ code = (code + bl_count[bits-1]) << 1;
+ next_code[bits] = code;
+ }
+
+ 3) Assign numerical values to all codes, using consecutive
+ values for all codes of the same length with the base
+ values determined at step 2. Codes that are never used
+ (which have a bit length of zero) must not be assigned a
+ value.
+
+ for (n = 0; n <= max_code; n++) {
+ len = tree[n].Len;
+ if (len != 0) {
+ tree[n].Code = next_code[len];
+ next_code[len]++;
+ }
+ }
+
+ Example:
+
+ Consider the alphabet ABCDEFGH, with bit lengths (3, 3, 3, 3, 3,
+ 2, 4, 4). After step 1, we have:
+
+ N bl_count[N]
+ - -----------
+ 2 1
+ 3 5
+ 4 2
+
+ Step 2 computes the following next_code values:
+
+ N next_code[N]
+ - ------------
+ 1 0
+ 2 0
+ 3 2
+ 4 14
+
+ Step 3 produces the following code values:
+
+ Symbol Length Code
+ ------ ------ ----
+ A 3 010
+ B 3 011
+ C 3 100
+ D 3 101
+ E 3 110
+ F 2 00
+ G 4 1110
+ H 4 1111
+
+ 3.3. Alphabet sizes
+
+ Huffman codes are used for different purposes in the "brotli"
+ format, and each purpose has a different alphabet size. For
+ literal codes the alphabet size is 256. For insert-and-copy
+ length codes the alphabet size is 704. For block length codes,
+ the alphabet size is 26. For distance codes, block type codes and
+ the Huffman codes used in compressing the context map, the
+ alphabet size is dynamic and is based on other parameters.
+
+ 3.4. Simple Huffman codes
+
+ The first two bits of the compressed representation of each
+ Huffman code distinguishes between simple and complex Huffman
+ codes. If this value is 1, then a simple Huffman code follows.
+ Otherwise the value indicates the number of leading zeros.
+
+ A simple Huffman code can have only up to four symbols with non-
+ zero code length. The format of the simple Huffman code is as
+ follows:
+
+ 2 bits: value of 1 indicates a simple Huffman code
+ 2 bits: NSYM - 1, where NSYM = # of symbols with non-zero
+ code length
+
+ NSYM symbols, each encoded using ALPHABET_BITS bits
+
+ 1 bit: tree-select, present only for NSYM = 4
+
+ The value of ALPHABET_BITS depends on the alphabet of the Huffman
+ code: it is the smallest number of bits that can represent all
+ symbols in the alphabet. E.g. for the alphabet of literal bytes,
+ ALPHABET_BITS is 8. The value of each of the NSYM symbols above is
+ the value of the ALPHABETS_BITS width machine integer representing
+ the symbol modulo the alphabet size of the Huffman code.
+
+ The (non-zero) code lengths of the symbols can be reconstructed as
+ follows:
+
+ * if NSYM = 1, the code length for the one symbol is one at
+ this stage, but only to distinguish it from the other zero
+ code length symbols, when encoding this symbol in the
+ compressed data stream using this Huffman code later, no
+ actual bits are emitted. Similarly, when decoding a symbol
+ using this Huffman code, no bits are read and the one symbol
+ is returned.
+
+ * if NSYM = 2, both symbols have code length 1.
+
+ * if NSYM = 3, the code lengths for the symbols are 1, 2, 2 in
+ the order they appear in the representation of the simple
+ Huffman code.
+
+ * if NSYM = 4, the code lengths (in order of symbols decoded)
+ depend on the tree-select bit: 2, 2, 2, 2, (tree-select bit 0)
+ or 1, 2, 3, 3 (tree-select bit 1).
+
+ 3.5. Complex Huffman codes
+
+ A complex Huffman code is a canonical Huffman code, defined by the
+ sequence of code lengths, as discussed in Paragraph 3.2, above.
+ For even greater compactness, the code length sequences themselves
+ are compressed using a Huffman code. The alphabet for code lengths
+ is as follows:
+
+ 0 - 15: Represent code lengths of 0 - 15
+ 16: Copy the previous non-zero code length 3 - 6 times
+ The next 2 bits indicate repeat length
+ (0 = 3, ... , 3 = 6)
+ If this is the first code length, or all previous
+ code lengths are zero, a code length of 8 is
+ repeated 3 - 6 times
+ A repeated code length code of 16 modifies the
+ repeat count of the previous one as follows:
+ repeat count = (4 * (repeat count - 2)) +
+ (3 - 6 on the next 2 bits)
+ Example: Codes 7, 16 (+2 bits 11), 16 (+2 bits 10)
+ will expand to 22 code lengths of 7
+ (1 + 4 * (6 - 2) + 5)
+ 17: Repeat a code length of 0 for 3 - 10 times.
+ (3 bits of length)
+ A repeated code length code of 17 modifies the
+ repeat count of the previous one as follows:
+ repeat count = (8 * (repeat count - 2)) +
+ (3 - 10 on the next 3 bits)
+
+ A code length of 0 indicates that the corresponding symbol in the
+ alphabet will not occur in the compressed data, and should not
+ participate in the Huffman code construction algorithm given
+ earlier. A complex Huffman code must have at least two non-zero
+ code lengths.
+
+ The bit lengths of the Huffman code over the code length alphabet
+ are compressed with the following static Huffman code:
+
+ Symbol Code
+ ------ ----
+ 0 00
+ 1 1110
+ 2 110
+ 3 01
+ 4 10
+ 5 1111
+
+ We can now define the format of the complex Huffman code as
+ follows:
+
+ 2 bits: HSKIP, values of 0, 2 or 3 represent the respective
+ number of leading zeros. (Value of 1 indicates the
+ Simple Huffman code.)
+
+
+ Code lengths for symbols in the code length alphabet given
+ just above, in the order: 1, 2, 3, 4, 0, 5, 17, 6, 16, 7,
+ 8, 9, 10, 11, 12, 13, 14, 15
+
+ The code lengths of code length symbols are between 0 and
+ 5 and they are represented with 2 - 5 bits according to
+ the static Huffman code above. A code length of 0 means
+ the corresponding code length symbol is not used.
+
+ If HSKIP is 2 or 3, a respective number of leading code
+ lengths are implicit zeros and are not present in the
+ code lengths sequence above. If there are at least two
+ non-zero code lengths, any trailing zero code lengths are
+ omitted, i.e. the last code length in the sequence must
+ be non-zero. In this case the sum of (32 >> code length)
+ over all the non-zero code lengths must equal to 32.
+
+ Sequence of code lengths symbols, encoded using the code
+ length Huffman code. Any trailing 0 or 17 must be
+ omitted, i.e. the last encoded code length symbol must be
+ between 1 and 16. The sum of (32768 >> code length) over
+ all the non-zero code lengths in the alphabet, including
+ those encoded using repeat code(s) of 16, must equal to
+ 32768.
+
+4. Encoding of distances
+
+ As described in Section 2, one component of a compressed meta-block
+ is a sequence of backward distances. In this section we provide the
+ details to the encoding of distances.
+
+ Each distance in the compressed data part of a meta-block is
+ represented with a pair <distance code, extra bits>. The distance
+ code and the extra bits are encoded back-to-back, the distance code
+ is encoded using a Huffman code over the distance code alphabet,
+ while the extra bits value is encoded as a fixed-width machine
+ integer. The number of extra bits can be 0 - 24, and it is dependent
+ on the distance code.
+
+ To convert a distance code and associated extra bits to a backward
+ distance, we need the sequence of past distances and two additional
+ parameters, the number of "postfix bits", denoted by NPOSTFIX, and
+ the number of direct distance codes, denoted by NDIRECT. Both of
+ these parameters are encoded in the meta-block header. We will also
+ use the following derived parameter:
+
+ POSTFIX_MASK = ((1 << NPOSTFIX) - 1)
+
+ The first 16 distance codes are special short codes that reference
+ past distances as follows:
+
+ 0: last distance
+ 1: second last distance
+ 2: third last distance
+ 3: fourth last distance
+ 4: last distance - 1
+ 5: last distance + 1
+ 6: last distance - 2
+ 7: last distance + 2
+ 8: last distance - 3
+ 9: last distance + 3
+ 10: second last distance - 1
+ 11: second last distance + 1
+ 12: second last distance - 2
+ 13: second last distance + 2
+ 14: second last distance - 3
+ 15: second last distance + 3
+
+ The ring-buffer of four last distances is initialized by the values
+ 16, 15, 11 and 4 (i.e. the fourth last is set to 16, the third last
+ to 15, the second last to 11 and the last distance to 4) at the
+ beginning of the *stream* (as opposed to the beginning of the meta-
+ block) and it is not reset at meta-block boundaries. When a distance
+ code 0 appears, the distance it represents (i.e. the last distance
+ in the sequence of distances) is not pushed to the ring-buffer of
+ last distances, in other words, the expression "(second, third,
+ fourth) last distance" means the (second, third, fourth) last
+ distance that was not represented by a 0 distance code. Similarly,
+ distances that represent static dictionary words (see Section 8.) are
+ not pushed to the ringbuffer of last distances.
+
+ The next NDIRECT distance codes, from 16 to 15 + NDIRECT, represent
+ distances from 1 to NDIRECT. Neither the distance short codes, nor
+ the NDIRECT direct distance codes have any extra bits.
+
+ Distance codes 16 + NDIRECT and greater all have extra bits, the
+ number of extra bits for a distance code "dcode" is given by the
+ following formula:
+
+ ndistbits = 1 + ((dcode - NDIRECT - 16) >> (NPOSTFIX + 1))
+
+ The maximum number of extra bits is 24, therefore the size of the
+ distance code alphabet is (16 + NDIRECT + (48 << NPOSTFIX)).
+
+ Given a distance code "dcode" (>= 16 + NDIRECT), and extra bits
+ "dextra", the backward distance is given by the following formula:
+
+ hcode = (dcode - NDIRECT - 16) >> NPOSTFIX
+ lcode = (dcode - NDIRECT - 16) & POSTFIX_MASK
+ offset = ((2 + (hcode & 1)) << ndistbits) - 4;
+ distance = ((offset + dextra) << NPOSTFIX) + lcode + NDIRECT + 1
+
+5. Encoding of literal insertion lengths and copy lengths
+
+ As described in Section 2, the literal insertion lengths and backward
+ copy lengths are encoded using a single Huffman code. This section
+ provides the details to this encoding.
+
+ Each <insertion length, copy length> pair in the compressed data part
+ of a meta-block is represented with the following triplet:
+
+ <insert-and-copy length code, insert extra bits, copy extra bits>
+
+ The insert-and-copy length code, the insert extra bits and the copy
+ extra bits are encoded back-to-back, the insert-and-copy length code
+ is encoded using a Huffman code over the insert-and-copy length code
+ alphabet, while the extra bits values are encoded as fixed-width
+ machine integers. The number of insert and copy extra bits can be
+ 0 - 24, and they are dependent on the insert-and-copy length code.
+
+ Some of the insert-and-copy length codes also express the fact that
+ the distance code of the distance in the same command is 0, i.e. the
+ distance component of the command is the same as that of the previous
+ command. In this case, the distance code and extra bits for the
+ distance are omitted from the compressed data stream.
+
+ We describe the insert-and-copy length code alphabet in terms of the
+ (not directly used) insert length code and copy length code
+ alphabets. The symbols of the insert length code alphabet, along with
+ the number of insert extra bits and the range of the insert lengths
+ are as follows:
+
+ Extra Extra Extra
+ Code Bits Lengths Code Bits Lengths Code Bits Lengths
+ ---- ---- ------ ---- ---- ------- ---- ---- -------
+ 0 0 0 8 2 10-13 16 6 130-193
+ 1 0 1 9 2 14-17 17 7 194-321
+ 2 0 2 10 3 18-25 18 8 322-577
+ 3 0 3 11 3 26-33 19 9 578-1089
+ 4 0 4 12 4 34-49 20 10 1090-2113
+ 5 0 5 13 4 50-65 21 12 2114-6209
+ 6 1 6,7 14 5 66-97 22 14 6210-22593
+ 7 1 8,9 15 5 98-129 23 24 22594-16799809
+
+ The symbols of the copy length code alphabet, along with the number
+ of copy extra bits and the range of copy lengths are as follows:
+
+ Extra Extra Extra
+ Code Bits Lengths Code Bits Lengths Code Bits Lengths
+ ---- ---- ------ ---- ---- ------- ---- ---- -------
+ 0 0 2 8 1 10,11 16 5 70-101
+ 1 0 3 9 1 12,13 17 5 102-133
+ 2 0 4 10 2 14-17 18 6 134-197
+ 3 0 5 11 2 18-21 19 7 198-325
+ 4 0 6 12 3 22-29 20 8 326-581
+ 5 0 7 13 3 30-37 21 9 582-1093
+ 6 0 8 14 4 38-53 22 10 1094-2117
+ 7 0 9 15 4 54-69 23 24 2118-16779333
+
+ To convert an insert-and-copy length code to an insert length code
+ and a copy length code, the following table can be used:
+
+ Insert
+ length Copy length code
+ code 0-7 8-15 16-23
+ +---------+---------+
+ | | |
+ 0-7 | 0-63 | 64-127 | <--- distance code 0
+ | | |
+ +---------+---------+---------+
+ | | | |
+ 0-7 | 128-191 | 192-255 | 384-447 |
+ | | | |
+ +---------+---------+---------+
+ | | | |
+ 8-15 | 256-319 | 320-383 | 512-575 |
+ | | | |
+ +---------+---------+---------+
+ | | | |
+ 16-23 | 448-511 | 576-639 | 640-703 |
+ | | | |
+ +---------+---------+---------+
+
+ First, look up the cell with the 64 value range containing the
+ insert-and-copy length code, this gives the insert length code and
+ the copy length code ranges, both 8 values long. The copy length
+ code within its range is determined by the lowest 3 bits of the
+ insert-and-copy length code, and the insert length code within its
+ range is determined by bits 3-5 (counted from the LSB) of the insert-
+ and-copy length code. Given the insert length and copy length codes,
+ the actual insert and copy lengths can be obtained by reading the
+ number of extra bits given by the tables above.
+
+ If the insert-and-copy length code is between 0 and 127, the distance
+ code of the command is set to zero (the last distance reused).
+
+6. Encoding of block switch commands
+
+ As described in Section 2, a block-switch command is a pair
+ <block type, block length>. These are encoded in the compressed data
+ part of the meta-block, right before the start of each new block of a
+ particular block category.
+
+ Each block type in the compressed data is represented with a block
+ type code, encoded using a Huffman code over the block type code
+ alphabet. A block type code 0 means that the block type is the same
+ as the type of the second last block from the same block category,
+ while a block type code 1 means that the block type equals the last
+ block type plus one. If the last block type is the maximal possible,
+ then a block type code 1 means block type 0. Block type codes 2 - 257
+ represent block types 0 - 255. The second last and last block types
+ are initialized with 0 and 1, respectively, at the beginning of each
+ meta-block.
+
+ The first block type of each block category must be 0 and the block
+ type of the first block switch command is therefore not encoded in
+ the compressed data.
+
+ The number of different block types in each block category, denoted
+ by NBLTYPESL, NBLTYPESI, and NBLTYPESD for literals, insert-and-copy
+ lengths and distances, respectively, is encoded in the meta-block
+ header, and it must equal to the largest block type plus one in that
+ block category. In other words, the set of literal, insert-and-copy
+ length and distance block types must be [0..NBLTYPESL-1],
+ [0..NBLTYPESI-1], and [0..NBLTYPESD-1], respectively. From this it
+ follows that the alphabet size of literal, insert-and-copy length and
+ distance block type codes is NBLTYPES + 2, NBLTYPESI + 2 and
+ NBLTYPESD + 2, respectively.
+
+ Each block length in the compressed data is represented with a pair
+ <block length code, extra bits>. The block length code and the extra
+ bits are encoded back-to-back, the block length code is encoded using
+ a Huffman code over the block length code alphabet, while the extra
+ bits value is encoded as a fixed-width machine integer. The number of
+ extra bits can be 0 - 24, and it is dependent on the block length
+ code. The symbols of the block length code alphabet, along with the
+ number of extra bits and the range of block lengths are as follows:
+
+ Extra Extra Extra
+ Code Bits Lengths Code Bits Lengths Code Bits Lengths
+ ---- ---- ------ ---- ---- ------- ---- ---- -------
+ 0 2 1-4 9 4 65-80 18 7 369-496
+ 1 2 5-8 10 4 81-96 19 8 497-752
+ 2 2 9-12 11 4 97-112 20 9 753-1264
+ 3 2 13-16 12 5 113-144 21 10 1265-2288
+ 4 3 17-24 13 5 145-176 22 11 2289-4336
+ 5 3 25-32 14 5 177-208 23 12 4337-8432
+ 6 3 33-40 15 5 209-240 24 13 8433-16624
+ 7 3 41-48 16 6 241-304 25 24 16625-16793840
+ 8 4 49-64 17 6 305-368
+
+ The first block switch command of each block category is special in
+ the sense that it is encoded in the meta-block header, and as
+ described earlier the block type code is omitted, since it is an
+ implicit zero.
+
+7. Context modeling
+
+ As described in Section 2, the Huffman tree used to encode a literal
+ byte or a distance code depends on the context ID and the block type.
+ This section specifies how to compute the context ID for a particular
+ literal and distance code, and how to encode the context map that
+ maps a <context ID, block type> pair to the index of a Huffman
+ tree in the array of literal and distance Huffman trees.
+
+ 7.1. Context modes and context ID lookup for literals
+
+ The context for encoding the next literal is defined by the last
+ two bytes in the stream (p1, p2, where p1 is the most recent
+ byte), regardless if these bytes are produced by backward
+ references or by literal insertions.
+
+ There are four methods, called context modes, to compute the
+ Context ID:
+ * MSB6, where the Context ID is the value of six most
+ significant bits of p1,
+ * LSB6, where the Context ID is the value of six least
+ significant bits of p1,
+ * UTF8, where the Context ID is a complex function of p1, p2,
+ optimized for text compression, and
+ * Signed, where Context ID is a complex function of p1, p2,
+ optimized for compressing sequences of signed integers.
+
+ The Context ID for the UTF8 and Signed context modes is computed
+ using the following lookup tables Lut0, Lut1, and Lut2.
+
+ Lut0 :=
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 8, 12, 16, 12, 12, 20, 12, 16, 24, 28, 12, 12, 32, 12, 36, 12,
+ 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 32, 32, 24, 40, 28, 12,
+ 12, 48, 52, 52, 52, 48, 52, 52, 52, 48, 52, 52, 52, 52, 52, 48,
+ 52, 52, 52, 52, 52, 48, 52, 52, 52, 52, 52, 24, 12, 28, 12, 12,
+ 12, 56, 60, 60, 60, 56, 60, 60, 60, 56, 60, 60, 60, 60, 60, 56,
+ 60, 60, 60, 60, 60, 56, 60, 60, 60, 60, 60, 24, 12, 28, 12, 0,
+ 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
+ 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
+ 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
+ 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
+ 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
+ 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
+ 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
+ 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3
+
+ Lut1 :=
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1,
+ 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1,
+ 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
+
+ Lut2 :=
+ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
+ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
+ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
+ 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7
+
+ Given p1 is the last decoded byte and p2 is the second last
+ decoded byte the context IDs can be computed as follows:
+
+ For LSB6 : Context ID = p1 & 0x3f
+ For MSB6 : Context ID = p1 >> 2
+ For UTF8 : Context ID = Lut0[p1] | Lut1[p2]
+ For Signed: Context ID = (Lut2[p1] << 3) | Lut2[p2]
+
+ The context modes LSB6, MSB6, UTF8, and Signed are denoted by
+ integers 0, 1, 2, 3.
+
+ The context mode is defined for each literal block type and they
+ are stored in a consecutive array of bits in the meta-block
+ header, always two bits per block type.
+
+ 7.2. Context ID for distances
+
+ The context for encoding a distance code is defined by the copy
+ length corresponding to the distance. The context IDs are 0, 1, 2,
+ and 3 for copy lengths 2, 3, 4, and more than 4, respectively.
+
+ 7.3. Encoding of the context map
+
+ There are two kinds of context maps, for literals and for
+ distances. The size of the context map is 64 * NBLTYPESL for
+ literals, and 4 * NBLTYPESD for distances. Each value in the
+ context map is an integer between 0 and 255, indicating the index
+ of the Huffman tree to be used when encoding the next literal or
+ distance.
+
+ The context map is encoded as a one-dimensional array,
+ CMAPL[0..(64 * NBLTYPESL - 1)] and CMAPD[0..(4 * NBLTYPESD - 1)].
+
+ The index of the Huffman tree for encoding a literal or distance
+ code with context ID "cid" and block type "bltype" is
+
+ index of literal Huffman tree = CMAPL[bltype * 64 + cid]
+
+ index of distance Huffman tree = CMAPD[bltype * 4 + cid]
+
+ The values of the context map are encoded with the combination
+ of run length encoding for zero values and Huffman coding. Let
+ RLEMAX denote the number of run length codes and NTREES denote the
+ maximum value in the context map plus one. NTREES must equal the
+ number of different values in the context map, in other words,
+ the different values in the context map must be the [0..NTREES-1]
+ interval. The alphabet of the Huffman code has the following
+ RLEMAX + NTREES symbols:
+
+ 0: value zero
+ 1: repeat a zero 2-3 times, read 1 bit for repeat length
+ 2: repeat a zero 4-7 times, read 2 bits for repeat length
+ ...
+ RLEMAX: repeat a zero (2^RLEMAX)-(2^(RLEMAX+1) - 1) times,
+ read RLEMAX bits for repeat length
+ RLEMAX + 1: value 1
+ ...
+ RLEMAX + NTREES - 1: value NTREES - 1
+
+ If RLEMAX = 0, the run length coding is not used, and the symbols
+ of the alphabet are directly the values in the context map. We can
+ now define the format of the context map (the same format is used
+ for literal and distance context maps):
+
+ 1-5 bits: RLEMAX, 0 is encoded with one 0 bit, and values
+ 1 - 16 are encoded with bit pattern 1xxxx
+
+ Huffman code with alphabet size NTREES + RLEMAX
+
+ Context map size values encoded with the above Huffman code
+ and run length coding for zero values
+
+ 1 bit: IMTF bit, if set, we do an inverse move-to-front
+ transform on the values in the context map to get
+ the Huffman code indexes
+
+ For the encoding of NTREES see Section 9.2.
+
+8. Static dictionary
+
+ At any given point during decoding the compressed data, a reference
+ to a duplicated string in the output produced so far has a maximum
+ backward distance value, which is the minimum of the window size and
+ the number of output bytes produced. However, decoding a distance
+ from the input stream, as described in section 4, can produce
+ distances that are greater than this maximum allowed value. The
+ difference between these distances and the first invalid distance
+ value is treated as reference to a word in the static dictionary
+ given in Appendix A. The maximum valid copy length for a static
+ dictionary reference is 24. The static dictionary has three parts:
+
+ * DICT[0..DICTSIZE], an array of bytes
+ * DOFFSET[0..24], an array of byte offset values for each length
+ * NDBITS[0..24], an array of bit-depth values for each length
+
+ The number of static dictionary words for a given length is:
+
+ NWORDS[length] = 0 (if length < 3)
+ NWORDS[length] = (1 << NDBITS[lengths]) (if length >= 3)
+
+ DOFFSET and DICTSIZE are defined by the following recursion:
+
+ DOFFSET[0] = 0
+ DOFFSET[length + 1] = DOFFSET[length] + length * NWORDS[length]
+ DICTSIZE = DOFFSET[24] + 24 * NWORDS[24]
+
+ The offset of a word within the DICT array for a given length and
+ index is:
+
+ offset(length, index) = DOFFSET[length] + index * length
+
+ Each static dictionary word has NTRANSFORMS different forms, given by
+ applying a word transformation to a base word in the DICT array. The
+ list of word transformations is given in Appendix B. The static
+ dictionary word for a <length, distance> pair can be reconstructed as
+ follows:
+
+ word_id = distance - (max allowed distance + 1)
+ index = word_id % NWORDS[length]
+ base_word = DICT[offset(length, index)..offset(length, index+1))
+ transform_id = word_id >> NDBITS[length]
+
+ The string copied to the output stream is computed by applying the
+ transformation to the base dictionary word. If transform_id is
+ greater than NTRANSFORMS - 1 or length is greater than 24, the
+ compressed data set is invalid and must be discarded.
+
+ Each word transformation has the follwing form:
+
+ transform_i(word) = prefix_i + T_i(word) + suffix_i
+
+ where the _i subscript denotes the transform_id above. Each T_i
+ is one of the following 20 elementary transforms:
+
+ Identity, OmitLast1, ..., OmitLast9, UppercaseFirst, UppercaseAll,
+ OmitFirst1, ..., OmitFirst9
+
+ The form of these elementary transforms are as follows:
+
+ Identity(word) = word
+
+ OmitLastk(word) = the first (length(word) - k) bytes of word, or
+ empty string if length(word) < k
+
+ UppercaseFirst(word) = first UTF-8 character of word upper-cased
+
+ UppercaseAll(word) = all UTF-8 characters of word upper-cased
+
+ OmitFirstk(word) = the last (length(word) - k) bytes of word, or
+ empty string if length(word) < k
+
+ For the purposes of UppercaseAll, word is parsed into UTF-8
+ characters an coverted to upper-case by taking 1 - 3 bytes at a time,
+ using the algorithm below:
+
+ i = 0
+ while i < length(word):
+ if word[i] < 192:
+ if word[i] >= 97 and word[i] <= 122:
+ word[i] = word[i] ^ 32
+ i = i + 1
+ else if word[i] < 224:
+ if i + 1 < length(word):
+ word[i + 1] = word[i + 1] ^ 32
+ i = i + 2
+ else:
+ if i + 2 < length(word):
+ word[i + 2] = word[i + 2] ^ 5
+ i = i + 3
+
+ For UppercaseFirst, the same algorithm is used, but the loop is
+ executed only once.
+
+ Appendix B. contains the list of transformations by specifying the
+ prefix, elementary transform and suffix components of each of them.
+
+9. Compressed data format
+
+ In this section we describe the format of the compressed data set in
+ terms of the format of the individual data items described in the
+ previous sections.
+
+ 9.1. Format of the stream header
+
+ The stream header has only the following one field:
+
+ 1-4 bits: WBITS, a value in the range 16 - 24, value 16 is
+ encoded with one 0 bit, and values 17 - 24 are
+ encoded with bit pattern 1xxx
+
+ The size of the sliding window, which is the maximum value of any
+ non-dictionary reference backward distance, is given by the
+ following formula:
+
+ window size = (1 << WBITS) - 16
+
+ 9.2. Format of the meta-block header
+
+ A compliant compressed data set has at least one meta-block. Each
+ meta-block contains a header with information about the
+ uncompressed length of the meta-block, and a bit signaling if the
+ meta-block is the last one. The format of the meta-block header is
+ the following:
+
+ 1 bit: ISLAST, set to 1 if this is the last meta-block
+ 1 bit: ISEMPTY, set to 1 if the meta-block is empty, this
+ field is only present if ISLAST bit is set, since
+ only the last meta-block can be empty
+ 2 bits: MNIBBLES - 4, where MNIBBLES is # of nibbles to
+ represent the length
+
+ MNIBBLES x 4 bits: MLEN - 1, where MLEN is the length
+ of the meta-block in the input data in bytes
+
+ 1 bit: ISUNCOMPRESSED, if set to 1, any bits of input up to
+ the next byte boundary are ignored, and the rest of
+ the meta-block contains MLEN bytes of literal data;
+ this field is only present if ISLAST bit is not set
+
+ 1-11 bits: NBLTYPESL, # of literal block types, encoded with
+ the following variable length code:
+
+ Value Bit Pattern
+ ----- -----------
+ 1 0
+ 2 1000
+ 3-4 1001x
+ 5-8 1010xx
+ 9-16 1011xxx
+ 17-32 1100xxxx
+ 33-64 1101xxxxx
+ 65-128 1110xxxxxx
+ 129-256 1111xxxxxxx
+
+ Huffman code over the block type code alphabet for literal
+ block types, appears only if NBLTYPESL >= 2
+
+ Huffman code over the block length code alphabet for literal
+ block lengths, appears only if NBLTYPESL >= 2
+
+ Block length code + Extra bits for first literal block
+ length, appears only if NBLTYPESL >= 2
+
+ 1-11 bits: NBLTYPESI, # of insert-and-copy block types, encoded
+ with the same variable length code as above
+
+ Huffman code over the block type code alphabet for insert-
+ and-copy block types, only if NBLTYPESI >= 2
+
+ Huffman code over the block length code alphabet for insert-
+ and-copy block lengths, only if NBLTYPESI >= 2
+
+ Block length code + Extra bits for first insert-and-copy
+ block length, only if NBLTYPESI >= 2
+
+ 1-11 bits: NBLTYPESD, # of distance block types, encoded with
+ the same variable length code as above
+
+ Huffman code over the block type code alphabet for distance
+ block types, appears only if NBLTYPESD >= 2
+
+ Huffman code over the block length code alphabet for
+ distance block lengths, only if NBLTYPESD >= 2
+
+ Block length code + Extra bits for first distance block
+ length, only if NBLTYPESD >= 2
+
+ 2 bits: NPOSTFIX, parameter used in the distance coding
+
+ 4 bits: four most significant bits of NDIRECT, to get the
+ actual value of the parameter NDIRECT, left-shift
+ this four bit number by NPOSTFIX bits
+
+ NBLTYPESL x 2 bits: context mode for each literal block type
+
+ 1-11 bits: NTREESL, # of literal Huffman trees, encoded with
+ the same variable length code as NBLTYPESL
+
+ Literal context map, encoded as described in Paragraph 7.3,
+ appears only if NTREESL >= 2, otherwise the context map
+ has only zero values
+
+ 1-11 bits: NTREESD, # of distance Huffman trees, encoded with
+ the same variable length code as NBLTYPESD
+
+ Distance context map, encoded as described in Paragraph 7.3,
+ appears only if NTREESD >= 2, otherwise the context map
+ has only zero values
+
+ NTREESL Huffman codes for literals
+
+ NBLTYPESI Huffman codes for insert-and-copy lengths
+
+ NTREESD Huffman codes for distances
+
+ 9.3. Format of the meta-block data
+
+ The compressed data part of a meta-block consists of a series of
+ commands. Each command has the following format:
+
+ Block type code for next insert-and-copy block type, appears
+ only if NBLTYPESI >= 2 and the previous insert-and-copy
+ block has ended
+
+ Block length code + Extra bits for next insert-and-copy
+ block length, appears only if NBLTYPESI >= 2 and the
+ previous insert and-copy block has ended
+
+ Insert-and-copy length, encoded as in section 5, using the
+ insert-and-copy length Huffman code with the current
+ insert-and-copy block type index
+
+ Insert length number of literals, with the following format:
+
+ Block type code for next literal block type, appears
+ only if NBLTYPESL >= 2 and the previous literal
+ block has ended
+
+ Block length code + Extra bits for next literal block
+ length, appears only if NBLTYPESL >= 2 and the
+ previous literal block has ended
+
+ Next byte of the input data, encoded with the literal
+ Huffman code with the index determined by the
+ previuos two bytes of the input data, the current
+ literal block type and the context map, as
+ described in Paragraph 7.3.
+
+ Block type code for next distance block type, appears only
+ if NBLTYPESD >= 2 and the previous distance block has
+ ended
+
+ Block length code + Extra bits for next distance block
+ length, appears only if NBLTYPESD >= 2 and the previous
+ distance block has ended
+
+ Distance code, encoded as in section 4, using the distance
+ Huffman code with the current distance block type index,
+ appears only if the distance code is not an implicit 0,
+ as indicated by the insert-and-copy length code
+
+ The number of commands in the meta-block is such that the sum of
+ insert lengths and copy lengths over all the commands gives the
+ uncompressed length, MLEN encoded in the meta-block header.
+
+10. Decoding algorithm
+
+ The decoding algorithm that produces the output data is as follows:
+
+ read window size
+ do
+ read ISLAST bit
+ if ISLAST
+ read ISEMPTY bit
+ if ISEMPTY
+ break from loop
+ read MLEN
+ if not ISLAST
+ read ISUNCOMPRESSED bit
+ if ISUNCOMPRESSED
+ skip any bits up to the next byte boundary
+ copy MLEN bytes of input to the output stream
+ continue to the next meta-block
+ loop for each three block categories (i = L, I, D)
+ read NBLTYPESi
+ if NBLTYPESi >= 2
+ read Huffman code for block types, HTREE_BTYPE_i
+ read Huffman code for block lengths, HTREE_BLEN_i
+ read block length, BLEN_i
+ set block type, BTYPE_i to 0
+ initialize second last and last block types to 0 and 1
+ else
+ set block type, BTYPE_i to 0
+ set block length, BLEN_i to 268435456
+ read NPOSTFIX and NDIRECT
+ read array of literal context modes, CMODE[]
+ read NTREESL
+ if NTREESL >= 2
+ read literal context map, CMAPL[]
+ else
+ fill CMAPL[] with zeros
+ read NTREESD
+ if NTREESD >= 2
+ read distance context map, CMAPD[]
+ else
+ fill CMAPD[] with zeros
+ read array of Huffman codes for literals, HTREEL[]
+ read array of Huffman codes for insert-and-copy, HTREEI[]
+ read array of Huffman codes for distances, HTREED[]
+ do
+ if BLEN_I is zero
+ read block type using HTREE_BTYPE_I and set BTYPE_I
+ read block length using HTREE_BLEN_I and set BLEN_I
+ decrement BLEN_I
+ read insert and copy length, ILEN, CLEN with HTREEI[BTYPE_I]
+ loop for ILEN
+ if BLEN_L is zero
+ read block type using HTREE_BTYPE_L and set BTYPE_L
+ read block length using HTREE_BLEN_L and set BLEN_L
+ decrement BLEN_L
+ look up context mode CMODE[BTYPE_L]
+ compute context ID, CIDL from last two bytes of output
+ read literal using HTREEL[CMAPL[64 * BTYPE_L + CIDL]]
+ copy literal to output stream
+ if number of output bytes produced in the loop is MLEN
+ break from loop
+ if distance code is implicit zero from insert-and-copy code
+ set backward distance to the last distance
+ else
+ if BLEN_D is zero
+ read block type using HTREE_BTYPE_D and set BTYPE_D
+ read block length using HTREE_BLEN_D and set BLEN_D
+ decrement BLEN_D
+ compute context ID, CIDD from CLEN
+ read distance code with HTREED[CMAPD[4 * BTYPE_D + CIDD]]
+ compute distance by distance short code substitution
+ move backwards distance bytes in the output stream, and
+ copy CLEN bytes from this position to the output stream,
+ or look up the static dictionary word and copy it to the
+ output stram
+ while number of output bytes produced in the loop < MLEN
+ while not ISLAST
+
+ Note that a duplicated string reference may refer to a string in a
+ previous meta-block, i.e. the backward distance may cross one or
+ more meta-block boundaries. However a backward copy distance
+ cannot refer past the beginning of the output stream and it can
+ not be greater than the window size; any such distance must be
+ interpreted as a reference to a static dictionary word. Also note
+ that the referenced string may overlap the current position, for
+ example, if the last 2 bytes decoded have values X and Y, a string
+ reference with <length = 5, distance = 2> adds X,Y,X,Y,X to the
+ output stream.
+
+11. References
+
+ [1] Huffman, D. A., "A Method for the Construction of Minimum
+ Redundancy Codes", Proceedings of the Institute of Radio
+ Engineers, September 1952, Volume 40, Number 9, pp. 1098-1101.
+
+ [2] Ziv J., Lempel A., "A Universal Algorithm for Sequential Data
+ Compression", IEEE Transactions on Information Theory, Vol. 23,
+ No. 3, pp. 337-343.
+
+ [3] Deutsch, P., "DEFLATE Compressed Data Format Specification
+ version 1.3", RFC 1951, Aladdin Enterprises, May 1996.
+ http://www.ietf.org/rfc/rfc1951.txt
+
+12. Source code
+
+ Source code for a C language implementation of a "brotli" compliant
+ decompressor and a C++ language implementation of a compressor is
+ available in the brotli/ directory within the font-compression-
+ reference open-source project:
+ https://code.google.com/p/font-compression-reference/source/browse/
+
+Appendix A. Static dictionary data
+
+ The hexadecimal form of the DICT array is the following:
+
+ 74696d65646f776e6c6966656c6566746261636b636f64656461746173686f77
+ 6f6e6c7973697465636974796f70656e6a7573746c696b6566726565776f726b
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+
+ The number of words for each length is given by the following bit-
+ depth array:
+
+ NDBITS := 0, 0, 0, 0, 10, 10, 11, 11, 10, 10,
+ 10, 10, 10, 9, 9, 8, 7, 7, 8, 7,
+ 7, 6, 6, 5, 5,
+
+Appendix B. List of word transformations
+
+ ID Prefix Transform Suffix
+ -- ------ --------- ------
+ 0 "" Identity ""
+ 1 "" Identity " "
+ 2 " " Identity " "
+ 3 "" OmitFirst1 ""
+ 4 "" UppercaseFirst " "
+ 5 "" Identity " the "
+ 6 " " Identity ""
+ 7 "s " Identity " "
+ 8 "" Identity " of "
+ 9 "" UppercaseFirst ""
+ 10 "" Identity " and "
+ 11 "" OmitFirst2 ""
+ 12 "" OmitLast1 ""
+ 13 ", " Identity " "
+ 14 "" Identity ", "
+ 15 " " UppercaseFirst " "
+ 16 "" Identity " in "
+ 17 "" Identity " to "
+ 18 "e " Identity " "
+ 19 "" Identity "\""
+ 20 "" Identity "."
+ 21 "" Identity "\">"
+ 22 "" Identity "\n"
+ 23 "" OmitLast3 ""
+ 24 "" Identity "]"
+ 25 "" Identity " for "
+ 26 "" OmitFirst3 ""
+ 27 "" OmitLast2 ""
+ 28 "" Identity " a "
+ 29 "" Identity " that "
+ 30 " " UppercaseFirst ""
+ 31 "" Identity ". "
+ 32 "." Identity ""
+ 33 " " Identity ", "
+ 34 "" OmitFirst4 ""
+ 35 "" Identity " with "
+ 36 "" Identity "'"
+ 37 "" Identity " from "
+ 38 "" Identity " by "
+ 39 "" OmitFirst5 ""
+ 40 "" OmitFirst6 ""
+ 41 " the " Identity ""
+ 42 "" OmitLast4 ""
+ 43 "" Identity ". The "
+ 44 "" UppercaseAll ""
+ 45 "" Identity " on "
+ 46 "" Identity " as "
+ 47 "" Identity " is "
+ 48 "" OmitLast7 ""
+ 49 "" OmitLast1 "ing "
+ 50 "" Identity "\n\t"
+ 51 "" Identity ":"
+ 52 " " Identity ". "
+ 53 "" Identity "ed "
+ 54 "" OmitFirst9 ""
+ 55 "" OmitFirst7 ""
+ 56 "" OmitLast6 ""
+ 57 "" Identity "("
+ 58 "" UppercaseFirst ", "
+ 59 "" OmitLast8 ""
+ 60 "" Identity " at "
+ 61 "" Identity "ly "
+ 62 " the " Identity " of "
+ 63 "" OmitLast5 ""
+ 64 "" OmitLast9 ""
+ 65 " " UppercaseFirst ", "
+ 66 "" UppercaseFirst "\""
+ 67 "." Identity "("
+ 68 "" UppercaseAll " "
+ 69 "" UppercaseFirst "\">"
+ 70 "" Identity "=\""
+ 71 " " Identity "."
+ 72 ".com/" Identity ""
+ 73 " the " Identity " of the "
+ 74 "" UppercaseFirst "'"
+ 75 "" Identity ". This "
+ 76 "" Identity ","
+ 77 "." Identity " "
+ 78 "" UppercaseFirst "("
+ 79 "" UppercaseFirst "."
+ 80 "" Identity " not "
+ 81 " " Identity "=\""
+ 82 "" Identity "er "
+ 83 " " UppercaseAll " "
+ 84 "" Identity "al "
+ 85 " " UppercaseAll ""
+ 86 "" Identity "='"
+ 87 "" UppercaseAll "\""
+ 88 "" UppercaseFirst ". "
+ 89 " " Identity "("
+ 90 "" Identity "ful "
+ 91 " " UppercaseFirst ". "
+ 92 "" Identity "ive "
+ 93 "" Identity "less "
+ 94 "" UppercaseAll "'"
+ 95 "" Identity "est "
+ 96 " " UppercaseFirst "."
+ 97 "" UppercaseAll "\">"
+ 98 " " Identity "='"
+ 99 "" UppercaseFirst ","
+ 100 "" Identity "ize "
+ 101 "" UppercaseAll "."
+ 102 "\xc2\xa0" Identity ""
+ 103 " " Identity ","
+ 104 "" UppercaseFirst "=\""
+ 105 "" UppercaseAll "=\""
+ 106 "" Identity "ous "
+ 107 "" UppercaseAll ", "
+ 108 "" UppercaseFirst "='"
+ 109 " " UppercaseFirst ","
+ 110 " " UppercaseAll "=\""
+ 111 " " UppercaseAll ", "
+ 112 "" UppercaseAll ","
+ 113 "" UppercaseAll "("
+ 114 "" UppercaseAll ". "
+ 115 " " UppercaseAll "."
+ 116 "" UppercaseAll "='"
+ 117 " " UppercaseAll ". "
+ 118 " " UppercaseFirst "=\""
+ 119 " " UppercaseAll "='"
+ 120 " " UppercaseFirst "='"