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- <?xml version="1.0" encoding="UTF-8"?>
- <!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook XML V4.1.2//EN"
- "http://www.oasis-open.org/docbook/xml/4.1.2/docbookx.dtd" []>
- <book id="Reed-Solomon-Library-Guide">
- <bookinfo>
- <title>Reed-Solomon Library Programming Interface</title>
-
- <authorgroup>
- <author>
- <firstname>Thomas</firstname>
- <surname>Gleixner</surname>
- <affiliation>
- <address>
- <email>tglx@linutronix.de</email>
- </address>
- </affiliation>
- </author>
- </authorgroup>
- <copyright>
- <year>2004</year>
- <holder>Thomas Gleixner</holder>
- </copyright>
- <legalnotice>
- <para>
- This documentation is free software; you can redistribute
- it and/or modify it under the terms of the GNU General Public
- License version 2 as published by the Free Software Foundation.
- </para>
-
- <para>
- This program is distributed in the hope that it will be
- useful, but WITHOUT ANY WARRANTY; without even the implied
- warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
- See the GNU General Public License for more details.
- </para>
-
- <para>
- You should have received a copy of the GNU General Public
- License along with this program; if not, write to the Free
- Software Foundation, Inc., 59 Temple Place, Suite 330, Boston,
- MA 02111-1307 USA
- </para>
-
- <para>
- For more details see the file COPYING in the source
- distribution of Linux.
- </para>
- </legalnotice>
- </bookinfo>
- <toc></toc>
- <chapter id="intro">
- <title>Introduction</title>
- <para>
- The generic Reed-Solomon Library provides encoding, decoding
- and error correction functions.
- </para>
- <para>
- Reed-Solomon codes are used in communication and storage
- applications to ensure data integrity.
- </para>
- <para>
- This documentation is provided for developers who want to utilize
- the functions provided by the library.
- </para>
- </chapter>
-
- <chapter id="bugs">
- <title>Known Bugs And Assumptions</title>
- <para>
- None.
- </para>
- </chapter>
- <chapter id="usage">
- <title>Usage</title>
- <para>
- This chapter provides examples of how to use the library.
- </para>
- <sect1>
- <title>Initializing</title>
- <para>
- The init function init_rs returns a pointer to an
- rs decoder structure, which holds the necessary
- information for encoding, decoding and error correction
- with the given polynomial. It either uses an existing
- matching decoder or creates a new one. On creation all
- the lookup tables for fast en/decoding are created.
- The function may take a while, so make sure not to
- call it in critical code paths.
- </para>
- <programlisting>
- /* the Reed Solomon control structure */
- static struct rs_control *rs_decoder;
- /* Symbolsize is 10 (bits)
- * Primitive polynomial is x^10+x^3+1
- * first consecutive root is 0
- * primitive element to generate roots = 1
- * generator polynomial degree (number of roots) = 6
- */
- rs_decoder = init_rs (10, 0x409, 0, 1, 6);
- </programlisting>
- </sect1>
- <sect1>
- <title>Encoding</title>
- <para>
- The encoder calculates the Reed-Solomon code over
- the given data length and stores the result in
- the parity buffer. Note that the parity buffer must
- be initialized before calling the encoder.
- </para>
- <para>
- The expanded data can be inverted on the fly by
- providing a non-zero inversion mask. The expanded data is
- XOR'ed with the mask. This is used e.g. for FLASH
- ECC, where the all 0xFF is inverted to an all 0x00.
- The Reed-Solomon code for all 0x00 is all 0x00. The
- code is inverted before storing to FLASH so it is 0xFF
- too. This prevents that reading from an erased FLASH
- results in ECC errors.
- </para>
- <para>
- The databytes are expanded to the given symbol size
- on the fly. There is no support for encoding continuous
- bitstreams with a symbol size != 8 at the moment. If
- it is necessary it should be not a big deal to implement
- such functionality.
- </para>
- <programlisting>
- /* Parity buffer. Size = number of roots */
- uint16_t par[6];
- /* Initialize the parity buffer */
- memset(par, 0, sizeof(par));
- /* Encode 512 byte in data8. Store parity in buffer par */
- encode_rs8 (rs_decoder, data8, 512, par, 0);
- </programlisting>
- </sect1>
- <sect1>
- <title>Decoding</title>
- <para>
- The decoder calculates the syndrome over
- the given data length and the received parity symbols
- and corrects errors in the data.
- </para>
- <para>
- If a syndrome is available from a hardware decoder
- then the syndrome calculation is skipped.
- </para>
- <para>
- The correction of the data buffer can be suppressed
- by providing a correction pattern buffer and an error
- location buffer to the decoder. The decoder stores the
- calculated error location and the correction bitmask
- in the given buffers. This is useful for hardware
- decoders which use a weird bit ordering scheme.
- </para>
- <para>
- The databytes are expanded to the given symbol size
- on the fly. There is no support for decoding continuous
- bitstreams with a symbolsize != 8 at the moment. If
- it is necessary it should be not a big deal to implement
- such functionality.
- </para>
-
- <sect2>
- <title>
- Decoding with syndrome calculation, direct data correction
- </title>
- <programlisting>
- /* Parity buffer. Size = number of roots */
- uint16_t par[6];
- uint8_t data[512];
- int numerr;
- /* Receive data */
- .....
- /* Receive parity */
- .....
- /* Decode 512 byte in data8.*/
- numerr = decode_rs8 (rs_decoder, data8, par, 512, NULL, 0, NULL, 0, NULL);
- </programlisting>
- </sect2>
- <sect2>
- <title>
- Decoding with syndrome given by hardware decoder, direct data correction
- </title>
- <programlisting>
- /* Parity buffer. Size = number of roots */
- uint16_t par[6], syn[6];
- uint8_t data[512];
- int numerr;
- /* Receive data */
- .....
- /* Receive parity */
- .....
- /* Get syndrome from hardware decoder */
- .....
- /* Decode 512 byte in data8.*/
- numerr = decode_rs8 (rs_decoder, data8, par, 512, syn, 0, NULL, 0, NULL);
- </programlisting>
- </sect2>
- <sect2>
- <title>
- Decoding with syndrome given by hardware decoder, no direct data correction.
- </title>
- <para>
- Note: It's not necessary to give data and received parity to the decoder.
- </para>
- <programlisting>
- /* Parity buffer. Size = number of roots */
- uint16_t par[6], syn[6], corr[8];
- uint8_t data[512];
- int numerr, errpos[8];
- /* Receive data */
- .....
- /* Receive parity */
- .....
- /* Get syndrome from hardware decoder */
- .....
- /* Decode 512 byte in data8.*/
- numerr = decode_rs8 (rs_decoder, NULL, NULL, 512, syn, 0, errpos, 0, corr);
- for (i = 0; i < numerr; i++) {
- do_error_correction_in_your_buffer(errpos[i], corr[i]);
- }
- </programlisting>
- </sect2>
- </sect1>
- <sect1>
- <title>Cleanup</title>
- <para>
- The function free_rs frees the allocated resources,
- if the caller is the last user of the decoder.
- </para>
- <programlisting>
- /* Release resources */
- free_rs(rs_decoder);
- </programlisting>
- </sect1>
- </chapter>
-
- <chapter id="structs">
- <title>Structures</title>
- <para>
- This chapter contains the autogenerated documentation of the structures which are
- used in the Reed-Solomon Library and are relevant for a developer.
- </para>
- !Iinclude/linux/rslib.h
- </chapter>
- <chapter id="pubfunctions">
- <title>Public Functions Provided</title>
- <para>
- This chapter contains the autogenerated documentation of the Reed-Solomon functions
- which are exported.
- </para>
- !Elib/reed_solomon/reed_solomon.c
- </chapter>
-
- <chapter id="credits">
- <title>Credits</title>
- <para>
- The library code for encoding and decoding was written by Phil Karn.
- </para>
- <programlisting>
- Copyright 2002, Phil Karn, KA9Q
- May be used under the terms of the GNU General Public License (GPL)
- </programlisting>
- <para>
- The wrapper functions and interfaces are written by Thomas Gleixner.
- </para>
- <para>
- Many users have provided bugfixes, improvements and helping hands for testing.
- Thanks a lot.
- </para>
- <para>
- The following people have contributed to this document:
- </para>
- <para>
- Thomas Gleixner<email>tglx@linutronix.de</email>
- </para>
- </chapter>
- </book>
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