brotli/brotlispec.txt

J. Alakuijala
Z. Szabadka
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   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
      74657874796561726f766572626f64796c6f7665666f726d626f6f6b706c6179
      6c6976656c696e6568656c70686f6d65736964656d6f7265776f72646c6f6e67
      7468656d7669657766696e64706167656461797366756c6c686561647465726d
      656163686172656166726f6d747275656d61726b61626c6575706f6e68696768
      646174656c616e646e6577736576656e6e65787463617365626f7468706f7374
      757365646d61646568616e6468657265776861746e616d654c696e6b626c6f67
      73697a656261736568656c646d616b656d61696e757365722729202b686f6c64
      656e6473776974684e65777372656164776572657369676e74616b6568617665
      67616d657365656e63616c6c7061746877656c6c706c75736d656e7566696c6d
      706172746a6f696e746869736c697374676f6f646e6565647761797377657374
      6a6f62736d696e64616c736f6c6f676f72696368757365736c6173747465616d
      61726d79666f6f646b696e6777696c6c65617374776172646265737466697265
      506167656b6e6f77617761792e706e676d6f76657468616e6c6f616467697665
      73656c666e6f74656d756368666565646d616e79726f636b69636f6e6f6e6365
      6c6f6f6b6869646564696564486f6d6572756c65686f7374616a6178696e666f
      636c75626c6177736c65737368616c66736f6d65737563687a6f6e6531303025
      6f6e65736361726554696d6572616365626c7565666f75727765656b66616365
      686f706567617665686172646c6f73747768656e7061726b6b65707470617373
      73686970726f6f6d48544d4c706c616e54797065646f6e65736176656b656570
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      7261696e666c6f77626162797370616e736179733470783b3670783b61727473
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      7765616b746f6c64466f726d6361737466616e7362616e6b7665727972756e73
      6a756c797461736b3170783b676f616c67726577736c6f776564676569643d22
      736574733570783b2e6a733f3430707869662028736f6f6e736561746e6f6e65
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      3138707863616d6568696c6c626f6c647a6f6f6d766f69646561737972696e67
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      426c756564696e673330302c62616c6c666f72646561726e77696c64626f782e
      666169726c61636b76657273706169726a756e6574656368696628217069636b
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      6167656467726579474554226561736561696d736769726c616964733870783b
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      75696465726164696f7368617265776f6d656e616761696e6d6f6e6579696d61
      67656e616d6573796f756e676c696e65736c61746572636f6c6f72677265656e
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      6368626f756e64726f79616c61736b656477686f6c6573696e636573746f636b
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      746566696c6d7367726164656e65656473757262616e66696768746261736973
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      757220736c696465746f70696362726f776e616c6f6e65647261776e73706c69
      747265616368526967687464617465736d6172636871756f7465676f6f64734c
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      74686e6f76656c313070783b7365727665756e74696c68616e6473436865636b
      537061636571756572796a616d6573657175616c7477696365302c3030305374
      61727470616e656c736f6e6773726f756e6465696768747368696674776f7274
      68706f7374736c656164737765656b7361766f696474686573656d696c657370
      6c616e65736d617274616c706861706c616e746d61726b737261746573706c61
      7973636c61696d73616c65737465787473737461727377726f6e673c2f68333e
      7468696e672e6f72672f6d756c74696865617264506f7765727374616e64746f
      6b656e736f6c696428746869736272696e677368697073737461666674726965
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      73697a657367756573743c2f68343e726f626f746865617679747275652c7365
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      6e6a6f79616a61782e6174696f6e736d697468552e532e20686f6c6473706574
      6572696e6469616e6176223e636861696e73636f7265636f6d6573646f696e67
      7072696f7253686172653139393073726f6d616e6c697374736a6170616e6661
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      746f70657261222d2f2f57636172647368696c6c737465616d7350686f746f74
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      7268656c707363617573656d616769636d6f746f72746865697232353070786c
      656173747374657073436f756e74636f756c64676c617373736964657366756e
      6473686f74656c61776172646d6f7574686d6f76657370617269736769766573
      6475746368746578617366727569746e756c6c2c7c7c5b5d3b746f70223e0a3c
      212d2d504f5354226f6365616e3c62722f3e666c6f6f72737065616b64657074
      682073697a6562616e6b7363617463686368617274323070783b616c69676e64
      65616c73776f756c64353070783b75726c3d227061726b736d6f7573654d6f73
      74202e2e2e3c2f616d6f6e67627261696e626f6479206e6f6e653b6261736564
      636172727964726166747265666572706167655f686f6d652e6d657465726465
      6c6179647265616d70726f76656a6f696e743c2f74723e64727567733c212d2d
      20617072696c696465616c616c6c656e6578616374666f727468636f6465736c
      6f67696356696577207365656d73626c616e6b706f7274732028323030736176
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      aae0a58de0a4aae0a4a3e0a580e0a495e0a58de0a4b0e0a4bfe0a495e0a587e0
      a49fe0a4aae0a58de0a4b0e0a4bee0a4b0e0a482e0a4ade0a4aae0a58de0a4b0
      e0a4bee0a4aae0a58de0a4a4e0a4aee0a4bee0a4b2e0a4bfe0a495e0a58be0a4
      82e0a4b0e0a4abe0a4bce0a58de0a4a4e0a4bee0a4b0e0a4a8e0a4bfe0a4b0e0
      a58de0a4aee0a4bee0a4a3e0a4b2e0a4bfe0a4aee0a4bfe0a49fe0a587e0a4a1
      6465736372697074696f6e2220636f6e74656e743d22646f63756d656e742e6c
      6f636174696f6e2e70726f742e676574456c656d656e747342795461674e616d
      65283c21444f43545950452068746d6c3e0a3c68746d6c203c6d657461206368
      61727365743d227574662d38223e3a75726c2220636f6e74656e743d22687474
      703a2f2f2e637373222072656c3d227374796c657368656574227374796c6520
      747970653d22746578742f637373223e747970653d22746578742f6373732220
      687265663d2277332e6f72672f313939392f7868746d6c2220786d6c74797065
      3d22746578742f6a61766173637269707422206d6574686f643d226765742220
      616374696f6e3d226c696e6b2072656c3d227374796c6573686565742220203d
      20646f63756d656e742e676574456c656d656e74747970653d22696d6167652f
      782d69636f6e22202f3e63656c6c70616464696e673d2230222063656c6c7370
      2e6373732220747970653d22746578742f63737322203c2f613e3c2f6c693e3c
      6c693e3c6120687265663d22222077696474683d223122206865696768743d22
      3122223e3c6120687265663d22687474703a2f2f7777772e7374796c653d2264
      6973706c61793a6e6f6e653b223e616c7465726e6174652220747970653d2261
      70706c692d2f2f5733432f2f445444205848544d4c20312e3020656c6c737061
      63696e673d2230222063656c6c70616420747970653d2268696464656e222076
      616c75653d222f613e266e6273703b3c7370616e20726f6c653d22730a3c696e
      70757420747970653d2268696464656e22206c616e67756167653d224a617661
      536372697074222020646f63756d656e742e676574456c656d656e747342673d
      2230222063656c6c73706163696e673d223022207970653d22746578742f6373
      7322206d656469613d22747970653d27746578742f6a61766173637269707427
      776974682074686520657863657074696f6e206f66207970653d22746578742f
      637373222072656c3d227374206865696768743d2231222077696474683d2231
      22203d272b656e636f6465555249436f6d706f6e656e74283c6c696e6b207265
      6c3d22616c7465726e61746522200a626f64792c2074722c20696e7075742c20
      746578746d657461206e616d653d22726f626f74732220636f6e6d6574686f64
      3d22706f73742220616374696f6e3d223e0a3c6120687265663d22687474703a
      2f2f7777772e637373222072656c3d227374796c65736865657422203c2f6469
      763e3c2f6469763e3c64697620636c6173736c616e67756167653d226a617661
      736372697074223e617269612d68696464656e3d2274727565223ec2b73c7269
      70742220747970653d22746578742f6a617661736c3d303b7d2928293b0a2866
      756e6374696f6e28297b6261636b67726f756e642d696d6167653a2075726c28
      2f613e3c2f6c693e3c6c693e3c6120687265663d226809093c6c693e3c612068
      7265663d22687474703a2f2f61746f722220617269612d68696464656e3d2274
      72753e203c6120687265663d22687474703a2f2f7777772e6c616e6775616765
      3d226a61766173637269707422202f6f7074696f6e3e0a3c6f7074696f6e2076
      616c75652f6469763e3c2f6469763e3c64697620636c6173733d7261746f7222
      20617269612d68696464656e3d227472653d286e65772044617465292e676574
      54696d652829706f7274756775c3aa732028646f2042726173696c29d0bed180
      d0b3d0b0d0bdd0b8d0b7d0b0d186d0b8d0b8d0b2d0bed0b7d0bcd0bed0b6d0bd
      d0bed181d182d18cd0bed0b1d180d0b0d0b7d0bed0b2d0b0d0bdd0b8d18fd180
      d0b5d0b3d0b8d181d182d180d0b0d186d0b8d0b8d0b2d0bed0b7d0bcd0bed0b6
      d0bdd0bed181d182d0b8d0bed0b1d18fd0b7d0b0d182d0b5d0bbd18cd0bdd0b0
      3c21444f43545950452068746d6c205055424c494320226e742d547970652220
      636f6e74656e743d22746578742f3c6d65746120687474702d65717569763d22
      436f6e746572616e736974696f6e616c2f2f454e222022687474703a3c68746d
      6c20786d6c6e733d22687474703a2f2f7777772d2f2f5733432f2f4454442058
      48544d4c20312e3020544454442f7868746d6c312d7472616e736974696f6e61
      6c2f2f7777772e77332e6f72672f54522f7868746d6c312f7065203d20277465
      78742f6a617661736372697074273b3c6d657461206e616d653d226465736372
      697074696f6e706172656e744e6f64652e696e736572744265666f72653c696e
      70757420747970653d2268696464656e22206e616a732220747970653d227465
      78742f6a6176617363726928646f63756d656e74292e72656164792866756e63
      746973637269707420747970653d22746578742f6a61766173696d6167652220
      636f6e74656e743d22687474703a2f2f55412d436f6d70617469626c65222063
      6f6e74656e743d746d6c3b20636861727365743d7574662d3822202f3e0a6c69
      6e6b2072656c3d2273686f72746375742069636f6e3c6c696e6b2072656c3d22
      7374796c65736865657422203c2f7363726970743e0a3c736372697074207479
      70653d3d20646f63756d656e742e637265617465456c656d656e3c6120746172
      6765743d225f626c616e6b2220687265663d20646f63756d656e742e67657445
      6c656d656e747342696e70757420747970653d227465787422206e616d653d61
      2e74797065203d2027746578742f6a617661736372696e70757420747970653d
      2268696464656e22206e616d6568746d6c3b20636861727365743d7574662d38
      22202f3e647464223e0a3c68746d6c20786d6c6e733d22687474702d2f2f5733
      432f2f4454442048544d4c20342e30312054656e747342795461674e616d6528
      277363726970742729696e70757420747970653d2268696464656e22206e616d
      3c73637269707420747970653d22746578742f6a6176617322207374796c653d
      22646973706c61793a6e6f6e653b223e646f63756d656e742e676574456c656d
      656e7442794964283d646f63756d656e742e637265617465456c656d656e7428
      2720747970653d27746578742f6a61766173637269707427696e707574207479
      70653d227465787422206e616d653d22642e676574456c656d656e7473427954
      61674e616d6528736e6963616c2220687265663d22687474703a2f2f7777772e
      432f2f4454442048544d4c20342e3031205472616e7369743c7374796c652074
      7970653d22746578742f637373223e0a0a3c7374796c6520747970653d227465
      78742f637373223e696f6e616c2e647464223e0a3c68746d6c20786d6c6e733d
      687474702d65717569763d22436f6e74656e742d5479706564696e673d223022
      2063656c6c73706163696e673d22302268746d6c3b20636861727365743d7574
      662d3822202f3e0a207374796c653d22646973706c61793a6e6f6e653b223e3c
      3c6c693e3c6120687265663d22687474703a2f2f7777772e20747970653d2774
      6578742f6a617661736372697074273ed0b4d0b5d18fd182d0b5d0bbd18cd0bd
      d0bed181d182d0b8d181d0bed0bed182d0b2d0b5d182d181d182d0b2d0b8d0b8
      d0bfd180d0bed0b8d0b7d0b2d0bed0b4d181d182d0b2d0b0d0b1d0b5d0b7d0be
      d0bfd0b0d181d0bdd0bed181d182d0b8e0a4aae0a581e0a4b8e0a58de0a4a4e0
      a4bfe0a495e0a4bee0a495e0a4bee0a482e0a497e0a58de0a4b0e0a587e0a4b8
      e0a489e0a4a8e0a58de0a4b9e0a58be0a482e0a4a8e0a587e0a4b5e0a4bfe0a4
      a7e0a4bee0a4a8e0a4b8e0a4ade0a4bee0a4abe0a4bfe0a495e0a58de0a4b8e0
      a4bfe0a482e0a497e0a4b8e0a581e0a4b0e0a495e0a58de0a4b7e0a4bfe0a4a4
      e0a495e0a589e0a4aae0a580e0a4b0e0a4bee0a487e0a49fe0a4b5e0a4bfe0a4
      9ce0a58de0a49ee0a4bee0a4aae0a4a8e0a495e0a4bee0a4b0e0a58de0a4b0e0
      a4b5e0a4bee0a488e0a4b8e0a495e0a58de0a4b0e0a4bfe0a4afe0a4a4e0a4be

   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         "='"