A computing device (100), comprising a memory (240) and a controller (210), wherein said controller (210) is configured to compress a file (410) by transforming at least a portion of said file (410) to a number (X) and transforming the number (X) to an exponent vector (exp) comprising at least one exponent, wherein each exponent corresponds to a base in a base vector (base).

A hardware data compressor that compresses an input block of characters by replacing strings of characters in the input block with back pointers to matching strings earlier in the input block. A hash table is used in searching for the matching strings in the input block. A plurality of hash index generators each employs a different hashing algorithm on an initial portion of the strings of characters to be replaced to generate a respective index. The hardware data compressor also includes an indication of a type of the input block of characters. A selector selects the index generated by of one of the plurality hash index generators to index into the hash table based on the type of the input block.

A hardware data compressor that compresses an input block of characters by replacing strings of characters in the input block with back pointers to matching strings earlier in the input block. A hash table is used in searching for the matching strings in the input block. A plurality of hash index generators each employs a different hashing algorithm on an initial portion of the strings of characters to be replaced to generate a respective index. The hardware data compressor also includes an indication of a type of the input block of characters. A selector selects the index generated by of one of the plurality hash index generators to index into the hash table based on the type of the input block.

A compression apparatus performs processing of registering a symbol, which is input, in a predetermined entry among a plurality of entries in a case where the symbol is not registered in a first table having the plurality of entries and outputting the symbol and index data indicating non-compression, processing of outputting index data indicating compression and positional information indicating a position of the entry having the symbol registered therein and having a size smaller than a size of the symbol in a case where the symbol has been registered in the table, and processing of changing the size of the positional information depending on usage conditions of the plurality of entries.

A compression apparatus performs processing of registering a symbol, which is input, in a predetermined entry among a plurality of entries in a case where the symbol is not registered in a first table having the plurality of entries and outputting the symbol and index data indicating non-compression, processing of outputting index data indicating compression and positional information indicating a position of the entry having the symbol registered therein and having a size smaller than a size of the symbol in a case where the symbol has been registered in the table, and processing of changing the size of the positional information depending on usage conditions of the plurality of entries.

Described embodiments provide systems and methods for stream-based compression. An encoder of a first device receives an input stream of bytes including a first byte preceded by one or more second bytes. The encoder may determine to identify a prefix code for the first byte. The encoder may select a prefix code table using the one or more second bytes. The encoder may identify, from the selected prefix code table, the prefix code of the first byte. The encoder may generate an output stream of bytes by replacing the first byte in the input stream with the prefix code of the first byte. The encoder may transmit the output stream from the encoder of the first device to a decoder of a second device. The output stream may have a fewer number of bits than the input stream.

Described embodiments provide systems and methods for stream-based compression. An encoder of a first device receives an input stream of bytes including a first byte preceded by one or more second bytes. The encoder may determine to identify a prefix code for the first byte. The encoder may select a prefix code table using the one or more second bytes. The encoder may identify, from the selected prefix code table, the prefix code of the first byte. The encoder may generate an output stream of bytes by replacing the first byte in the input stream with the prefix code of the first byte. The encoder may transmit the output stream from the encoder of the first device to a decoder of a second device. The output stream may have a fewer number of bits than the input stream.

Methods, devices, and systems for compressing and decompressing a stream of indices associated with graphics primitives. A group of delta values is determined based on a group of indices of the stream of indices. The group of delta values is compared to delta values in a lookup table. The group of indices is compressed based on an entry in the lookup table if the group of delta values matches all delta values in the entry, otherwise, the group of indices is compressed based on variable-length encoding.

Methods, devices, and systems for compressing and decompressing a stream of indices associated with graphics primitives. A group of delta values is determined based on a group of indices of the stream of indices. The group of delta values is compared to delta values in a lookup table. The group of indices is compressed based on an entry in the lookup table if the group of delta values matches all delta values in the entry, otherwise, the group of indices is compressed based on variable-length encoding.

Racks and rack pods to support a plurality of sleds are disclosed herein. Switches for use in the rack pods are also disclosed herein. A rack comprises a plurality of sleds and a plurality of electromagnetic waveguides. The plurality of sleds are vertically spaced from one another. The plurality of electromagnetic waveguides communicate data signals between the plurality of sleds.