Deflate

The second compression stage consists of replacing commonly used symbols with shorter representations and less commonly used symbols with longer representations. The method used is Huffman coding which creates an unprefixed tree of non-overlapping intervals, where the length of each sequence is inversely proportional to the logarithm of the probability of that symbol needing to be encoded. The more likely it is that a symbol has to be encoded, the shorter its bit-sequence will be.

A tree is created, containing space for 288 symbols:

• 0–255: represent the literal bytes/symbols 0–255.
• 256: end of block – stop processing if last block, otherwise start processing next block.
• 257–285: combined with extra-bits, a match length of 3–258 bytes.
• 286, 287: not used, reserved and illegal but still part of the tree.

A match length code will always be followed by a distance code. Based on the distance code read, further "extra" bits may be read in order to produce the final distance. The distance tree contains space for 32 symbols:

• 0–3: distances 1–4
• 4–5: distances 5–8, 1 extra bit
• 6–7: distances 9–16, 2 extra bits
• 8–9: distances 17–32, 3 extra bits
• ...
• 26–27: distances 8,193–16,384, 12 extra bits
• 28–29: distances 16,385–32,768, 13 extra bits
• 30–31: not used, reserved and illegal but still part of the tree.

Note that for the match distance symbols 2–29, the number of extra bits can be calculated as ${\displaystyle \left\lfloor {\frac {n}{2}}\right\rfloor -1}$.

The two codes (the 288-symbol length/literal tree and the 32-symbol distance tree) are themselves encoded as canonical Huffman codes by giving the bit length of the code for each symbol. The bit lengths are themselves run-length encoded to produce as compact a representation as possible. As an alternative to including the tree representation, the "static tree" option provides standard fixed Huffman trees. The compressed size using the static trees can be computed using the same statistics (the number of times each symbol appears) as are used to generate the dynamic trees, so it is easy for a compressor to choose whichever is smaller.

Within compressed blocks, if a duplicate series of bytes is spotted (a repeated string), then a back-reference is inserted, linking to the previous location of that identical string instead. An encoded match to an earlier string consists of an 8-bit length (3–258 bytes) and a 15-bit distance (1–32,768 bytes) to the beginning of the duplicate. Relative back-references can be made across any number of blocks, as long as the distance appears within the last 32 KiB of uncompressed data decoded (termed the sliding window).

If the distance is less than the length, the duplicate overlaps itself, indicating repetition. For example, a run of 10 identical bytes can be encoded as one byte, followed by a duplicate of length 9, beginning with the previous byte.

Searching the preceding text for duplicate substrings is the most computationally expensive part of the DEFLATE algorithm, and the operation which compression level settings affect.

Deflate64, specified by PKWARE, is a proprietary variant of Deflate. It's fundamentally the same algorithm. What has changed is the increase in dictionary size from 32 KB to 64 KB, an extension of the distance codes to 16 bits so that they may address a range of 64 KB, and the length code, which is extended to 16 bits so that it may define lengths of three to 65,538 bytes.[4] This leads to Deflate64 having a longer compression time, and potentially a slightly higher compression ratio, than Deflate.[5] Several free and/or open source projects support Deflate64, such as 7-Zip,[6] while others, such as zlib, do not, as a result of the proprietary nature of the procedure[7] and the very modest performance increase over Deflate.[8]

• PKZIP: the first implementation, originally done by Phil Katz as part of PKZip.
• zlib/gzip: standard reference implementation used in a huge amount of software, owing to public availability of the source code and a license allowing inclusion into other software.
• Crypto++: contains a public domain implementation in C++ aimed mainly at reducing potential security vulnerabilities. The author, Wei Dai states "This code is less clever, but hopefully more understandable and maintainable [than zlib]".
• 7-Zip/AdvanceCOMP: written by Igor Pavlov in C++, this version is freely licensed and tends to achieve higher compression than zlib at the expense of CPU usage. Has an option to use the DEFLATE64 storage format.
• PuTTY 'sshzlib.c': a standalone implementation, capable of full decode, but static tree only creation, by Simon Tatham. MIT licensed.
• Plan 9 from Bell Labs operating system's libflate implements deflate compression.
• Hyperbac: uses its own proprietary lossless compression library (written in C++ and Assembly) with an option to implement the DEFLATE64 storage format.
• Zopfli: C implementation by Google that achieves highest compression at the expense of CPU usage. ZopfliPNG is a variation of Zopfli for use with PNGs. Apache licensed.
• igzip, an encoder written in x86 assembly released by Intel under the MIT License. 3x faster than zlib -1. Useful for compressing genomic data.[9]

AdvanceCOMP uses the higher compression ratio version of Deflate as implemented by 7-Zip (or optionally Zopfli in recent versions) to enable recompression of gzip, PNG, MNG and ZIP files with the possibility of achieving smaller file sizes than zlib is able to at maximum settings.

• AHA361-PCIX/AHA362-PCIX from Comtech AHA. Comtech produced a PCI-X card (PCI-ID: 193f:0001) capable of compressing streams using Deflate at a rate of up to 3.0 Gbit/s (375 MB/s) for incoming uncompressed data. Accompanying the Linux kernel driver for the AHA361-PCIX is an "ahagzip" utility and customised "mod_deflate_aha" capable of using the hardware compression from Apache. The hardware is based on a Xilinx Virtex FPGA and four custom AHA3601 ASICs. The AHA361/AHA362 boards are limited to only handling static Huffman blocks and require software to be modified to add support — the cards were not able to support the full Deflate specification, meaning they could only reliably decode their own output (a stream that did not contain any dynamic Huffman type 2 blocks).
• StorCompress 300/MX3 from Indra Networks. This is a range of PCI (PCI-ID: 17b4:0011) or PCI-X cards featuring between one and six compression engines with claimed processing speeds of up to 3.6 Gbit/s (450 MB/s). A version of the cards are available with the separate brand WebEnhance specifically designed for web-serving use rather than SAN or backup use; a PCIe revision, the MX4E is also produced.
• AHA363-PCIe/AHA364-PCIe/AHA367-PCIe. In 2008, Comtech started producing two PCIe cards (PCI-ID: 193f:0363/193f:0364) with a new hardware AHA3610 encoder chip. The new chip was designed to be capable of a sustained 2.5 Gbit/s. Using two of these chips, the AHA363-PCIe board can process Deflate at a rate of up to 5.0 Gbit/s (625 MB/s) using the two channels (two compression and two decompression). The AHA364-PCIe variant is an encode-only version of the card designed for out-going load balancers and instead has multiple register sets to allow 32 independent virtual compression channels feeding two physical compression engines. Linux, Microsoft Windows, and OpenSolaris kernel device drivers are available for both of the new cards, along with a modified zlib system library so that dynamically linked applications can automatically use the hardware support without internal modification. The AHA367-PCIe board (PCI-ID: 193f:0367) is similar to the AHA363-PCIe but uses four AHA3610 chips for a sustained compression rate of 10 Gbit/s (1250 MB/s). Unlike the AHA362-PCIX, the decompression engines on the AHA363-PCIe and AHA367-PCIe boards are fully deflate compliant.
• Nitrox and Octeon processors from Cavium, Inc. contain high-speed hardware deflate and inflate engines compatible with both ZLIB and GZIP with some devices able to handle multiple simultaneous data streams.
• HDL-Deflate GPL FPGA implementation.
• Intel Communications Chipset 89xx Series (Cave Creek) for the Intel Xeon E5-2600 and E5-2400 Processor Series (Sandy Bridge-EP/EN) supports hardware compression and decompression using QuickAssist Technology. Depending on the chipset, compression and decompression rates of 5Gbit/s, 10Gbit/s, or 20Gbit/s are available.[10]

The normal intent with an alternative Inflate implementation is highly optimised decoding speed, or extremely predictable RAM usage for micro-controller embedded systems.

• Assembly
  • 6502 inflate, written by Piotr Fusik in 6502 assembly language.
  • SAMflate, written by Andrew Collier in Z80 assembly language with optional memory paging support for the SAM Coupé, and made available under the BSD/GPL/LGPL/DFSG licenses.
  • gunzip, written by Laurens Holst in Z80 assembly language for the MSX, licensed under BSD.
  • inflate.asm, a fast and efficient implementation in M68000 machine language, written by Keir Fraser and released into the Public Domain.

• C/C++
  • kunzip by Michael Kohn and unrelated to "KZIP". Comes with C source-code under the GNU LGPL license. Used in the GIMP installer.
  • puff.c (zlib), a small, unencumbered, single-file reference implementation included in the /contrib/puff directory of the zlib distribution.
  • tinf written by Jørgen Ibsen in ANSI C and comes with zlib license. Adds about 2k code.
  • tinfl.c (miniz), Public domain Inflate implementation contained entirely in a single C function.
• PCDEZIP, Bob Flanders and Michael Holmes, published in PC Magazine 1994-01-11.
• inflate.cl by John Foderaro. Self-standing Common Lisp decoder distributed with a GNU LGPL license.
• inflate.s7i/gzip.s7i, a pure-Seed7 implementation of Deflate and gzip decompression, by Thomas Mertes. Made available under the GNU LGPL license.
• pyflate, a pure-Python stand-alone Deflate (gzip) and bzip2 decoder by Paul Sladen. Written for research/prototyping and made available under the BSD/GPL/LGPL/DFSG licenses.
• deflatelua, a pure-Lua implementation of Deflate and gzip/zlib decompression, by David Manura.
• inflate a pure-Javascript implementation of Inflate by Chris Dickinson
• pako: JavaScript speed-optimized port of zlib. Contains separate build with inflate only.

• Serial Inflate GPU from BitSim. Hardware implementation of Inflate. Part of BitSim's BADGE (Bitsim Accelerated Display Graphics Engine) controller offering for embedded systems.
• HDL-Deflate GPL FPGA implementation.