Fixed Stream decoder to actually use the first_stream variable.

[icculus/xz.git] / doc / file-format.txt

The .xz File Format
-------------------

        0. Preface
           0.1. Copyright Notices
           0.2. Changes
        1. Conventions
           1.1. Byte and Its Representation
           1.2. Multibyte Integers
        2. Overall Structure of .xz File
           2.1. Stream
                2.1.1. Stream Header
                       2.1.1.1. Header Magic Bytes
                       2.1.1.2. Stream Flags
                       2.1.1.3. CRC32
                2.1.2. Stream Footer
                       2.1.2.1. CRC32
                       2.1.2.2. Backward Size
                       2.1.2.3. Stream Flags
                       2.1.2.4. Footer Magic Bytes
           2.2. Stream Padding
        3. Block
           3.1. Block Header
                3.1.1. Block Header Size
                3.1.2. Block Flags
                3.1.3. Compressed Size
                3.1.4. Uncompressed Size
                3.1.5. List of Filter Flags
                3.1.6. Header Padding
                3.1.7. CRC32
           3.2. Compressed Data
           3.3. Check
        4. Index
           4.1. Index Indicator
           4.2. Number of Records
           4.3. List of Records
                4.3.1. Total Size
                4.3.2. Uncompressed Size
           4.4. Index Padding
           4.5. CRC32
        5. Filter Chains
           5.1. Alignment
           5.2. Security
           5.3. Filters
                5.3.1. LZMA2
                5.3.2. Branch/Call/Jump Filters for Executables
                5.3.3. Delta
                       5.3.3.1. Format of the Encoded Output
           5.4. Custom Filter IDs
                5.4.1. Reserved Custom Filter ID Ranges
        6. Cyclic Redundancy Checks
        7. References


0. Preface

        This document describes the .xz file format (filename suffix
        `.xz', MIME type `application/x-xz'). It is intended that this
        this format replace the old .lzma format used by LZMA SDK and
        LZMA Utils.

        IMPORTANT:  The version described in this document is a
                    draft, NOT a final, official version. Changes
                    are possible.


0.1. Copyright Notices

        Copyright (C) 2006-2008 Lasse Collin <lasse.collin@tukaani.org>
        Copyright (C) 2006 Ville Koskinen <w-ber@iki.fi>

        Copying and distribution of this file, with or without
        modification, are permitted in any medium without royalty
        provided the copyright notice and this notice are preserved.
        Modified versions must be marked as such.

        All source code examples given in this document are put into
        the public domain by the authors of this document.

        Special thanks for helping with this document goes to
        Igor Pavlov. Thanks for helping with this document goes to
        Mark Adler, H. Peter Anvin, and Mikko Pouru.


0.2. Changes

        Last modified: 2008-09-24 21:05+0300

        (A changelog will be kept once the first official version
        is made.)


1. Conventions

        The keywords `must', `must not', `required', `should',
        `should not', `recommended', `may', and `optional' in this
        document are to be interpreted as described in [RFC-2119].
        These words are not capitalized in this document.

        Indicating a warning means displaying a message, returning
        appropriate exit status, or something else to let the user
        know that something worth warning occurred. The operation
        should still finish if a warning is indicated.

        Indicating an error means displaying a message, returning
        appropriate exit status, or something else to let the user
        know that something prevented successfully finishing the
        operation. The operation must be aborted once an error has
        been indicated.


1.1. Byte and Its Representation

        In this document, byte is always 8 bits.

        A `nul byte' has all bits unset. That is, the value of a nul
        byte is 0x00.

        To represent byte blocks, this document uses notation that
        is similar to the notation used in [RFC-1952]:

            +-------+
            |  Foo  |   One byte.
            +-------+

            +---+---+
            |  Foo  |   Two bytes; that is, some of the vertical bars
            +---+---+   can be missing.

            +=======+
            |  Foo  |   Zero or more bytes.
            +=======+

        In this document, a boxed byte or a byte sequence declared
        using this notation is called `a field'. The example field
        above would be called `the Foo field' or plain `Foo'.


1.2. Multibyte Integers

        Multibyte integers of static length, such as CRC values,
        are stored in little endian byte order (least significant
        byte first).

        When smaller values are more likely than bigger values (for
        example file sizes), multibyte integers are encoded in a
        variable-length representation:
          - Numbers in the range [0, 127] are copied as is, and take
            one byte of space.
          - Bigger numbers will occupy two or more bytes. All but the
            last byte of the multibyte representation have the highest
            (eighth) bit set.

        For now, the value of the variable-length integers is limited
        to 63 bits, which limits the encoded size of the integer to
        nine bytes. These limits may be increased in future if needed.

        The following C code illustrates encoding and decoding of
        variable-length integers. The functions return the number of
        bytes occupied by the integer (1-9), or zero on error.

            #include <sys/types.h>
            #include <inttypes.h>

            size_t
            encode(uint8_t buf[static 9], uint64_t num)
            {
                if (num >= UINT64_MAX / 2)
                    return 0;

                size_t i = 0;

                while (num >= 0x80) {
                    buf[i++] = (uint8_t)(num) | 0x80;
                    num >>= 7;
                }

                buf[i++] = (uint8_t)(num);

                return i;
            }

            size_t
            decode(const uint8_t buf[], size_t size_max, uint64_t *num)
            {
                if (size_max == 0)
                    return 0;

                if (size_max > 9)
                    size_max = 9;

                *num = buf[0] & 0x7F;
                size_t i = 0;

                while (buf[i++] & 0x80) {
                    if (i > size_max || buf[i] == 0x00)
                        return 0;

                    *num |= (uint64_t)(buf[i] & 0x7F) << (i * 7);
                }

                return i;
            }


2. Overall Structure of .xz File

        +========+================+========+================+
        | Stream | Stream Padding | Stream | Stream Padding | ...
        +========+================+========+================+

        A file contains usually only one Stream. However, it is
        possible to concatenate multiple Streams together with no
        additional processing. It is up to the implementation to
        decide if the decoder will continue decoding from the next
        Stream once the end of the first Stream has been reached.


2.1. Stream

        +-+-+-+-+-+-+-+-+-+-+-+-+=======+=======+     +=======+
        |     Stream Header     | Block | Block | ... | Block |
        +-+-+-+-+-+-+-+-+-+-+-+-+=======+=======+     +=======+

             +=======+-+-+-+-+-+-+-+-+-+-+-+-+
        ---> | Index |     Stream Footer     |
             +=======+-+-+-+-+-+-+-+-+-+-+-+-+

        All the above fields have a size that is a multiple of four. If
        Stream is used as an internal part of another file format, it
        is recommended to make the Stream start at an offset that is
        a multiple of four bytes.

        Stream Header, Index, and Stream Footer are always present in
        a Stream. The maximum size of the Index field is 16 GiB (2^34).

        There are zero or more Blocks. The maximum number of Blocks is
        limited only by the maximum size of the Index field.

        Total size of a Stream must be less than 8 EiB (2^63 bytes).
        The same limit applies to the total amount of uncompressed
        data stored in a Stream.

        If an implementation supports handling .xz files with multiple
        concatenated Streams, it may apply the above limits to the file
        as a whole instead of limiting per Stream basis.


2.1.1. Stream Header

        +---+---+---+---+---+---+-------+------+--+--+--+--+
        |  Header Magic Bytes   | Stream Flags |   CRC32   |
        +---+---+---+---+---+---+-------+------+--+--+--+--+


2.1.1.1. Header Magic Bytes

        The first six (6) bytes of the Stream are so called Header
        Magic Bytes. They can be used to identify the file type.

            Using a C array and ASCII:
            const uint8_t HEADER_MAGIC[6]
                    = { 0xFD, '7', 'z', 'X', 'Z', 0x00 };

            In plain hexadecimal:
            FD 37 7A 58 5A 00

        Notes:
          - The first byte (0xFD) was chosen so that the files cannot
            be erroneously detected as being in .lzma format, in which
            the first byte is in the range [0x00, 0xE0].
          - The sixth byte (0x00) was chosen to prevent applications
            from misdetecting the file as a text file.

        If the Header Magic Bytes don't match, the decoder must
        indicate an error.


2.1.1.2. Stream Flags

        The first byte of Stream Flags is always a nul byte. In future
        this byte may be used to indicate new Stream version or other
        Stream properties.

        The second byte of Stream Flags is a bit field:

            Bit(s)  Mask  Description
             0-3    0x0F  Type of Check (see Section 3.3):
                              ID    Size      Check name
                              0x00   0 bytes  None
                              0x01   4 bytes  CRC32
                              0x02   4 bytes  (Reserved)
                              0x03   4 bytes  (Reserved)
                              0x04   8 bytes  CRC64
                              0x05   8 bytes  (Reserved)
                              0x06   8 bytes  (Reserved)
                              0x07  16 bytes  (Reserved)
                              0x08  16 bytes  (Reserved)
                              0x09  16 bytes  (Reserved)
                              0x0A  32 bytes  SHA-256
                              0x0B  32 bytes  (Reserved)
                              0x0C  32 bytes  (Reserved)
                              0x0D  64 bytes  (Reserved)
                              0x0E  64 bytes  (Reserved)
                              0x0F  64 bytes  (Reserved)
             4-7    0xF0  Reserved for future use; must be zero for now.

        Implementations must support at least the Check IDs 0x00 (None)
        and 0x01 (CRC32). Supporting other Check IDs is optional. If
        an unsupported Check is used, the decoder should indicate a
        warning or error.

        If any reserved bit is set, the decoder must indicate an error.
        It is possible that there is a new field present which the
        decoder is not aware of, and can thus parse the Stream Header
        incorrectly.


2.1.1.3. CRC32

        The CRC32 is calculated from the Stream Flags field. It is
        stored as an unsigned 32-bit little endian integer. If the
        calculated value does not match the stored one, the decoder
        must indicate an error.

        The idea is that Stream Flags would always be two bytes, even
        if new features are needed. This way old decoders will be able
        to verify the CRC32 calculated from Stream Flags, and thus
        distinguish between corrupt files (CRC32 doesn't match) and
        files that the decoder doesn't support (CRC32 matches but
        Stream Flags has reserved bits set).


2.1.2. Stream Footer

        +-+-+-+-+---+---+---+---+-------+------+----------+---------+
        | CRC32 | Backward Size | Stream Flags | Footer Magic Bytes |
        +-+-+-+-+---+---+---+---+-------+------+----------+---------+


2.1.2.1. CRC32

        The CRC32 is calculated from the Backward Size and Stream Flags
        fields. It is stored as an unsigned 32-bit little endian
        integer. If the calculated value does not match the stored one,
        the decoder must indicate an error.

        The reason to have the CRC32 field before the Backward Size and
        Stream Flags fields is to keep the four-byte fields aligned to
        a multiple of four bytes.


2.1.2.2. Backward Size

        Backward Size is stored as a 32-bit little endian integer,
        which indicates the size of the Index field as multiple of
        four bytes, minimum value being four bytes:

            real_backward_size = (stored_backward_size + 1) * 4;

        Using a fixed-size integer to store this value makes it
        slightly simpler to parse the Stream Footer when the
        application needs to parse the Stream backwards.


2.1.2.3. Stream Flags

        This is a copy of the Stream Flags field from the Stream
        Header. The information stored to Stream Flags is needed
        when parsing the Stream backwards. The decoder must compare
        the Stream Flags fields in both Stream Header and Stream
        Footer, and indicate an error if they are not identical.


2.1.2.4. Footer Magic Bytes

        As the last step of the decoding process, the decoder must
        verify the existence of Footer Magic Bytes. If they don't
        match, an error must be indicated.

            Using a C array and ASCII:
            const uint8_t FOOTER_MAGIC[2] = { 'Y', 'Z' };

            In hexadecimal:
            59 5A

        The primary reason to have Footer Magic Bytes is to make
        it easier to detect incomplete files quickly, without
        uncompressing. If the file does not end with Footer Magic Bytes
        (excluding Stream Padding described in Section 2.2), it cannot
        be undamaged, unless someone has intentionally appended garbage
        after the end of the Stream.


2.2. Stream Padding

        Only the decoders that support decoding of concatenated Streams
        must support Stream Padding.

        Stream Padding must contain only nul bytes. Any non-nul byte
        should be considered as the beginning of a new Stream. To
        preserve the four-byte alignment of consecutive Streams, the
        size of Stream Padding must be a multiple of four bytes. Empty
        Stream Padding is allowed.

        Note that non-empty Stream Padding is allowed at the end of the
        file; there doesn't need to be a new Stream after non-empty
        Stream Padding. This can be convenient in certain situations
        [GNU-tar].

        The possibility of Padding should be taken into account when
        designing an application that parses the Stream backwards.


3. Block

        +==============+=================+=======+
        | Block Header | Compressed Data | Check |
        +==============+=================+=======+


3.1. Block Header

        +-------------------+-------------+=================+
        | Block Header Size | Block Flags | Compressed Size |
        +-------------------+-------------+=================+

             +===================+======================+
        ---> | Uncompressed Size | List of Filter Flags |
             +===================+======================+

             +================+--+--+--+--+
        ---> | Header Padding |   CRC32   |
             +================+--+--+--+--+


3.1.1. Block Header Size

        This field overlaps with the Index Indicator field (see
        Section 4.1).

        This field contains the size of the Block Header field,
        including the Block Header Size field itself. Valid values are
        in the range [0x01, 0xFF], which indicate the size of the Block
        Header as multiples of four bytes, minimum size being eight
        bytes:

            real_header_size = (encoded_header_size + 1) * 4;

        If bigger Block Header is needed in future, a new field can be
        added between the current Block Header and Compressed Data
        fields. The presence of this new field would be indicated in
        the Block Header.


3.1.2. Block Flags

        The first byte of the Block Flags field is a bit field:

            Bit(s)  Mask  Description
             0-1    0x03  Number of filters (1-4)
             2-5    0x3C  Reserved for future use; must be zero for now.
              6     0x40  The Compressed Size field is present.
              7     0x80  The Uncompressed Size field is present.

        If any reserved bit is set, the decoder must indicate an error.
        It is possible that there is a new field present which the
        decoder is not aware of, and can thus parse the Block Header
        incorrectly.


3.1.3. Compressed Size

        This field is present only if the appropriate bit is set in
        the Block Flags field (see Section 3.1.2).

        This field contains the size of the Compressed Data field as
        multiple of four bytes, minimum value being four bytes:

            real_compressed_size = (stored_compressed_size + 1) * 4;

        The size is stored using the encoding described in Section 1.2.
        If the Compressed Size does not match the real size of the
        Compressed Data field, the decoder must indicate an error.


3.1.4. Uncompressed Size

        This field is present only if the appropriate bit is set in
        the Block Flags field (see Section 3.1.2).

        The Uncompressed Size field contains the size of the Block
        after uncompressing. Uncompressed Size is stored using the
        encoding described in Section 1.2. If the Uncompressed Size
        does not match the real uncompressed size, the decoder must
        indicate an error.

        Storing the Compressed Size and Uncompressed Size fields serves
        several purposes:
          - The decoder knows how much memory it needs to allocate
            for a temporary buffer in multithreaded mode.
          - Simple error detection: wrong size indicates a broken file.
          - Seeking forwards to a specific location in streamed mode.

        It should be noted that the only reliable way to determine
        the real uncompressed size is to uncompress the Block,
        because the Block Header and Index fields may contain
        (intentionally or unintentionally) invalid information.


3.1.5. List of Filter Flags

        +================+================+     +================+
        | Filter 0 Flags | Filter 1 Flags | ... | Filter n Flags |
        +================+================+     +================+

        The number of Filter Flags fields is stored in the Block Flags
        field (see Section 3.1.2).

        The format of each Filter Flags field is as follows:

            +===========+====================+===================+
            | Filter ID | Size of Properties | Filter Properties |
            +===========+====================+===================+

        Both Filter ID and Size of Properties are stored using the
        encoding described in Section 1.2. Size of Properties indicates
        the size of the Filter Properties field as bytes. The list of
        officially defined Filter IDs and the formats of their Filter
        Properties are described in Section 5.3.

        Filter IDs greater than or equal to 0x4000_0000_0000_0000
        (2^62) are reserved for implementation-specific internal use.
        These Filter IDs must never be used in List of Filter Flags.


3.1.6. Header Padding

        This field contains as many nul byte as it is needed to make
        the Block Header have the size specified in Block Header Size.
        If any of the bytes are not nul bytes, the decoder must
        indicate an error. It is possible that there is a new field
        present which the decoder is not aware of, and can thus parse
        the Block Header incorrectly.


3.1.7. CRC32

        The CRC32 is calculated over everything in the Block Header
        field except the CRC32 field itself. It is stored as an
        unsigned 32-bit little endian integer. If the calculated
        value does not match the stored one, the decoder must indicate
        an error.

        By verifying the CRC32 of the Block Header before parsing the
        actual contents allows the decoder to distinguish between
        corrupt and unsupported files.


3.2. Compressed Data

        The format of Compressed Data depends on Block Flags and List
        of Filter Flags. Excluding the descriptions of the simplest
        filters in Section 5.3, the format of the filter-specific
        encoded data is out of scope of this document.

        If the natural size of Compressed Data is not a multiple of
        four bytes, it must be padded with 1-3 nul bytes to make it
        a multiple of four bytes.


3.3. Check

        The type and size of the Check field depends on which bits
        are set in the Stream Flags field (see Section 2.1.1.2).

        The Check, when used, is calculated from the original
        uncompressed data. If the calculated Check does not match the
        stored one, the decoder must indicate an error. If the selected
        type of Check is not supported by the decoder, it must indicate
        a warning or error.


4. Index

        +-----------------+=========================+
        | Index Indicator | Number of Index Records |
        +-----------------+=========================+

             +=================+=========+-+-+-+-+
        ---> | List of Records | Padding | CRC32 |
             +=================+=========+-+-+-+-+

        Index serves several purporses. Using it, one can
          - verify that all Blocks in a Stream have been processed;
          - find out the uncompressed size of a Stream; and
          - quickly access the beginning of any Block (random access).


4.1. Index Indicator

        This field overlaps with the Block Header Size field (see
        Section 3.1.1). The value of Index Indicator is always 0x00.


4.2. Number of Records

        This field indicates how many Records there are in the List
        of Records field, and thus how many Blocks there are in the
        Stream. The value is stored using the encoding described in
        Section 1.2. If the decoder has decoded all the Blocks of the
        Stream, and then notices that the Number of Records doesn't
        match the real number of Blocks, the decoder must indicate an
        error.


4.3. List of Records

        List of Records consists of as many Records as indicated by the
        Number of Records field:

            +========+========+
            | Record | Record | ...
            +========+========+

        Each Record contains two fields:

            +============+===================+
            | Total Size | Uncompressed Size |
            +============+===================+

        If the decoder has decoded all the Blocks of the Stream, it
        must verify that the contents of the Records match the real
        Total Size and Uncompressed Size of the respective Blocks.

        Implementation hint: It is possible to verify the Index with
        constant memory usage by calculating for example SHA256 of both
        the real size values and the List of Records, then comparing
        the check values. Implementing this using non-cryptographic
        check like CRC32 should be avoided unless small code size is
        important.

        If the decoder supports random-access reading, it must verify
        that Total Size and Uncompressed Size of every completely
        decoded Block match the sizes stored in the Index. If only
        partial Block is decoded, the decoder must verify that the
        processed sizes don't exceed the sizes stored in the Index.


4.3.1. Total Size

        This field indicates the encoded size of the respective Block
        as multiples of four bytes, minimum value being four bytes:

            real_total_size = (stored_total_size + 1) * 4;

        The value is stored using the encoding described in Section
        1.2.


4.3.2. Uncompressed Size

        This field indicates the Uncompressed Size of the respective
        Block as bytes. The value is stored using the encoding
        described in Section 1.2.


4.4. Index Padding

        This field must contain 0-3 nul bytes to pad the Index to
        a multiple of four bytes.


4.5. CRC32

        The CRC32 is calculated over everything in the Index field
        except the CRC32 field itself. The CRC32 is stored as an
        unsigned 32-bit little endian integer. If the calculated
        value does not match the stored one, the decoder must indicate
        an error.


5. Filter Chains

        The Block Flags field defines how many filters are used. When
        more than one filter is used, the filters are chained; that is,
        the output of one filter is the input of another filter. The
        following figure illustrates the direction of data flow.

                    v   Uncompressed Data   ^
                    |       Filter 0        |
            Encoder |       Filter 1        | Decoder
                    |       Filter n        |
                    v    Compressed Data    ^


5.1. Alignment

        Alignment of uncompressed input data is usually the job of
        the application producing the data. For example, to get the
        best results, an archiver tool should make sure that all
        PowerPC executable files in the archive stream start at
        offsets that are multiples of four bytes.

        Some filters, for example LZMA2, can be configured to take
        advantage of specified alignment of input data. Note that
        taking advantage of aligned input can be benefical also when
        a filter is not the first filter in the chain. For example,
        if you compress PowerPC executables, you may want to use the
        PowerPC filter and chain that with the LZMA2 filter. Because
        not only the input but also the output alignment of the PowerPC
        filter is four bytes, it is now benefical to set LZMA2 settings
        so that the LZMA2 encoder can take advantage of its
        four-byte-aligned input data.

        The output of the last filter in the chain is stored to the
        Compressed Data field, which is is guaranteed to be aligned
        to a multiple of four bytes relative to the beginning of the
        Stream. This can increase
          - speed, if the filtered data is handled multiple bytes at
            a time by the filter-specific encoder and decoder,
            because accessing aligned data in computer memory is
            usually faster; and
          - compression ratio, if the output data is later compressed
            with an external compression tool.


5.2. Security

        If filters would be allowed to be chained freely, it would be
        possible to create malicious files, that would be very slow to
        decode. Such files could be used to create denial of service
        attacks.

        Slow files could occur when multiple filters are chained:

            v   Compressed input data
            |   Filter 1 decoder (last filter)
            |   Filter 0 decoder (non-last filter)
            v   Uncompressed output data

        The decoder of the last filter in the chain produces a lot of
        output from little input. Another filter in the chain takes the
        output of the last filter, and produces very little output
        while consuming a lot of input. As a result, a lot of data is
        moved inside the filter chain, but the filter chain as a whole
        gets very little work done.

        To prevent this kind of slow files, there are restrictions on
        how the filters can be chained. These restrictions must be
        taken into account when designing new filters.

        The maximum number of filters in the chain has been limited to
        four, thus there can be at maximum of three non-last filters.
        Of these three non-last filters, only two are allowed to change
        the size of the data.

        The non-last filters, that change the size of the data, must
        have a limit how much the decoder can compress the data: the
        decoder should produce at least n bytes of output when the
        filter is given 2n bytes of input. This  limit is not
        absolute, but significant deviations must be avoided.

        The above limitations guarantee that if the last filter in the
        chain produces 4n bytes of output, the chain as a whole will
        produce at least n bytes of output.


5.3. Filters

5.3.1. LZMA2

        LZMA (Lempel-Ziv-Markov chain-Algorithm) is a general-purporse
        compression algorithm with high compression ratio and fast
        decompression. LZMA is based on LZ77 and range coding
        algorithms.

        LZMA2 is an extensions on top of the original LZMA. LZMA2 uses
        LZMA internally, but adds support for flushing the encoder,
        uncompressed chunks, eases stateful decoder implementations,
        and improves support for multithreading. Thus, the plain LZMA
        will not be supported in this file format.

            Filter ID:                  0x21
            Size of Filter Properties:  1 byte
            Changes size of data:       Yes
            Allow as a non-last filter: No
            Allow as the last filter:   Yes

            Preferred alignment:
                Input data:             Adjustable to 1/2/4/8/16 byte(s)
                Output data:            1 byte

        The format of the one-byte Filter Properties field is as
        follows:

            Bits   Mask   Description
            0-5    0x3F   Dictionary Size
            6-7    0xC0   Reserved for future use; must be zero for now.

        Dictionary Size is encoded with one-bit mantissa and five-bit
        exponent. The smallest dictionary size is 4 KiB and the biggest
        is 4 GiB.

            Raw value   Mantissa   Exponent   Dictionary size
                0           2         11         4 KiB
                1           3         11         6 KiB
                2           2         12         8 KiB
                3           3         12        12 KiB
                4           2         13        16 KiB
                5           3         13        24 KiB
                6           2         14        32 KiB
              ...         ...        ...      ...
               35           3         27       768 MiB
               36           2         28      1024 MiB
               37           3         29      1536 MiB
               38           2         30      2048 MiB
               39           3         30      3072 MiB
               40           2         31      4096 MiB - 1 B

        Instead of having a table in the decoder, the dictionary size
        can be decoded using the following C code:

            const uint8_t bits = get_dictionary_flags() & 0x3F;
            if (bits > 40)
                return DICTIONARY_TOO_BIG; // Bigger than 4 GiB

            uint32_t dictionary_size;
            if (bits == 40) {
                dictionary_size = UINT32_MAX;
            } else {
                dictionary_size = 2 | (bits & 1);
                dictionary_size <<= bits / 2 + 11;
            }


5.3.2. Branch/Call/Jump Filters for Executables

        These filters convert relative branch, call, and jump
        instructions to their absolute counterparts in executable
        files. This conversion increases redundancy and thus
        compression ratio.

            Size of Filter Properties:  0 or 4 bytes
            Changes size of data:       No
            Allow as a non-last filter: Yes
            Allow as the last filter:   No

            Detecting when all of the data has been decoded:
                Uncompressed size:      Yes
                End of Payload Marker:  No
                End of Input:           Yes

        Below is the list of filters in this category. The alignment
        is the same for both input and output data.

            Filter ID   Alignment   Description
              0x04       1 byte     x86 filter (BCJ)
              0x05       4 bytes    PowerPC (big endian) filter
              0x06      16 bytes    IA64 filter
              0x07       4 bytes    ARM (little endian) filter
              0x08       2 bytes    ARM Thumb (little endian) filter
              0x09       4 bytes    SPARC filter

        If the size of Filter Properties is four bytes, the Filter
        Properties field contains the start offset used for address
        conversions. It is stored as an unsigned 32-bit little endian
        integer. If the size of Filter Properties is zero, the start
        offset is zero.

        Setting the start offset may be useful if an executable has
        multiple sections, and there are many cross-section calls.
        Taking advantage of this feature usually requires usage of
        the Subblock filter.


5.3.3. Delta

        The Delta filter may increase compression ratio when the value
        of the next byte correlates with the value of an earlier byte
        at specified distance.

            Filter ID:                  0x03
            Size of Filter Properties:  1 byte
            Changes size of data:       No
            Allow as a non-last filter: Yes
            Allow as the last filter:   No

            Preferred alignment:
                Input data:             1 byte
                Output data:            Same as the original input data

        The Properties byte indicates the delta distance, which can be
        1-256 bytes backwards from the current byte: 0x00 indicates
        distance of 1 byte and 0xFF distance of 256 bytes.


5.3.3.1. Format of the Encoded Output

        The code below illustrates both encoding and decoding with
        the Delta filter.

            // Distance is in the range [1, 256].
            const unsigned int distance = get_properties_byte() + 1;
            uint8_t pos = 0;
            uint8_t delta[256];

            memset(delta, 0, sizeof(delta));

            while (1) {
                const int byte = read_byte();
                if (byte == EOF)
                    break;

                uint8_t tmp = delta[(uint8_t)(distance + pos)];
                if (is_encoder) {
                    tmp = (uint8_t)(byte) - tmp;
                    delta[pos] = (uint8_t)(byte);
                } else {
                    tmp = (uint8_t)(byte) + tmp;
                    delta[pos] = tmp;
                }

                write_byte(tmp);
                --pos;
            }


5.4. Custom Filter IDs

        If a developer wants to use custom Filter IDs, he has two
        choices. The first choice is to contact Lasse Collin and ask
        him to allocate a range of IDs for the developer.

        The second choice is to generate a 40-bit random integer,
        which the developer can use as his personal Developer ID.
        To minimalize the risk of collisions, Developer ID has to be
        a randomly generated integer, not manually selected "hex word".
        The following command, which works on many free operating
        systems, can be used to generate Developer ID:

            dd if=/dev/urandom bs=5 count=1 | hexdump

        The developer can then use his Developer ID to create unique
        (well, hopefully unique) Filter IDs.

            Bits    Mask                    Description
             0-15   0x0000_0000_0000_FFFF   Filter ID
            16-55   0x00FF_FFFF_FFFF_0000   Developer ID
            56-62   0x3F00_0000_0000_0000   Static prefix: 0x3F

        The resulting 63-bit integer will use 9 bytes of space when
        stored using the encoding described in Section 1.2. To get
        a shorter ID, see the beginning of this Section how to
        request a custom ID range.


5.4.1. Reserved Custom Filter ID Ranges

        Range                       Description
        0x0002_0000 - 0x0007_FFFF   Reserved to ease .7z compatibility
        0x0200_0000 - 0x07FF_FFFF   Reserved to ease .7z compatibility


6. Cyclic Redundancy Checks

        There are several incompatible variations to calculate CRC32
        and CRC64. For simplicity and clarity, complete examples are
        provided to calculate the checks as they are used in this file
        format. Implementations may use different code as long as it
        gives identical results.

        The program below reads data from standard input, calculates
        the CRC32 and CRC64 values, and prints the calculated values
        as big endian hexadecimal strings to standard output.

            #include <sys/types.h>
            #include <inttypes.h>
            #include <stdio.h>

            uint32_t crc32_table[256];
            uint64_t crc64_table[256];

            void
            init(void)
            {
                static const uint32_t poly32 = UINT32_C(0xEDB88320);
                static const uint64_t poly64
                        = UINT64_C(0xC96C5795D7870F42);

                for (size_t i = 0; i < 256; ++i) {
                    uint32_t crc32 = i;
                    uint64_t crc64 = i;

                    for (size_t j = 0; j < 8; ++j) {
                        if (crc32 & 1)
                            crc32 = (crc32 >> 1) ^ poly32;
                        else
                            crc32 >>= 1;

                        if (crc64 & 1)
                            crc64 = (crc64 >> 1) ^ poly64;
                        else
                            crc64 >>= 1;
                    }

                    crc32_table[i] = crc32;
                    crc64_table[i] = crc64;
                }
            }

            uint32_t
            crc32(const uint8_t *buf, size_t size, uint32_t crc)
            {
                crc = ~crc;
                for (size_t i = 0; i < size; ++i)
                    crc = crc32_table[buf[i] ^ (crc & 0xFF)]
                            ^ (crc >> 8);
                return ~crc;
            }

            uint64_t
            crc64(const uint8_t *buf, size_t size, uint64_t crc)
            {
                crc = ~crc;
                for (size_t i = 0; i < size; ++i)
                    crc = crc64_table[buf[i] ^ (crc & 0xFF)]
                            ^ (crc >> 8);
                return ~crc;
            }

            int
            main()
            {
                init();

                uint32_t value32 = 0;
                uint64_t value64 = 0;
                uint64_t total_size = 0;
                uint8_t buf[8192];

                while (1) {
                    const size_t buf_size = fread(buf, 1, 8192, stdin);
                    if (buf_size == 0)
                        break;

                    total_size += buf_size;
                    value32 = crc32(buf, buf_size, value32);
                    value64 = crc64(buf, buf_size, value64);
                }

                printf("Bytes:  %" PRIu64 "\n", total_size);
                printf("CRC-32: 0x%08" PRIX32 "\n", value32);
                printf("CRC-64: 0x%016" PRIX64 "\n", value64);

                return 0;
            }


7. References

        LZMA SDK - The original LZMA implementation
        http://7-zip.org/sdk.html

        LZMA Utils - LZMA adapted to POSIX-like systems
        http://tukaani.org/lzma/

        [RFC-1952]
        GZIP file format specification version 4.3
        http://www.ietf.org/rfc/rfc1952.txt
          - Notation of byte boxes in section `2.1. Overall conventions'

        [RFC-2119]
        Key words for use in RFCs to Indicate Requirement Levels
        http://www.ietf.org/rfc/rfc2119.txt

        [GNU-tar]
        GNU tar 1.16.1 manual
        http://www.gnu.org/software/tar/manual/html_node/Blocking-Factor.html
          - Node 9.4.2 `Blocking Factor', paragraph that begins
            `gzip will complain about trailing garbage'
          - Note that this URL points to the latest version of the
            manual, and may some day not contain the note which is in
            1.16.1. For the exact version of the manual, download GNU
            tar 1.16.1: ftp://ftp.gnu.org/pub/gnu/tar/tar-1.16.1.tar.gz