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661 lines
27 KiB
C
661 lines
27 KiB
C
/**********************************************************************
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Copyright(c) 2011-2014 Intel Corporation All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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* Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in
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the documentation and/or other materials provided with the
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distribution.
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* Neither the name of Intel Corporation nor the names of its
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contributors may be used to endorse or promote products derived
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from this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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**********************************************************************/
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#ifndef _ERASURE_CODE_H_
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#define _ERASURE_CODE_H_
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#include <stdint.h>
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/**
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* @file erasure_code.h
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* @brief Interface to functions supporting erasure code encode and decode.
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*
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* This file defines the interface to optimized functions used in erasure
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* codes. Encode and decode of erasures in GF(2^8) are made by calculating the
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* dot product of the symbols (bytes in GF(2^8)) across a set of buffers and a
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* set of coefficients. Values for the coefficients are determined by the type
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* of erasure code. Using a general dot product means that any sequence of
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* coefficients may be used including erasure codes based on random
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* coefficients.
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* Multiple versions of dot product are supplied to calculate 1-6 output
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* vectors in one pass.
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* Base GF multiply and divide functions can be sped up by defining
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* GF_LARGE_TABLES at the expense of memory size.
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*
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*/
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#include "ec-vect-mul.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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/**
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* @brief Initialize tables for fast Erasure Code encode and decode.
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*
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* Generates the expanded tables needed for fast encode or decode for erasure
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* codes on blocks of data. 32bytes is generated for each input coefficient.
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*
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* @param k The number of vector sources or rows in the generator matrix
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* for coding.
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* @param rows The number of output vectors to concurrently encode/decode.
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* @param a Pointer to sets of arrays of input coefficients used to encode
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* or decode data.
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* @param gftbls Pointer to start of space for concatenated output tables
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* generated from input coefficients. Must be of size 32*k*rows.
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* @returns none
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*/
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void ec_init_tables(int k, int rows, uint8_t* a, uint8_t* gftbls);
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/**
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* @brief Generate or decode erasure codes on blocks of data.
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*
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* Given a list of source data blocks, generate one or multiple blocks of
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* encoded data as specified by a matrix of GF(2^8) coefficients. When given a
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* suitable set of coefficients, this function will perform the fast generation
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* or decoding of Reed-Solomon type erasure codes.
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*
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* @requires SSE4.1
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* @param len Length of each block of data (vector) of source or dest data.
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* @param k The number of vector sources or rows in the generator matrix
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* for coding.
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* @param rows The number of output vectors to concurrently encode/decode.
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* @param gftbls Pointer to array of input tables generated from coding
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* coefficients in ec_init_tables(). Must be of size 32*k*rows
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* @param data Array of pointers to source input buffers.
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* @param coding Array of pointers to coded output buffers.
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* @returns none
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*/
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void ec_encode_data_sse(int len, int k, int rows, uint8_t *gftbls, uint8_t **data, uint8_t **coding);
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/**
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* @brief Generate or decode erasure codes on blocks of data, runs appropriate version.
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*
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* Given a list of source data blocks, generate one or multiple blocks of
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* encoded data as specified by a matrix of GF(2^8) coefficients. When given a
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* suitable set of coefficients, this function will perform the fast generation
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* or decoding of Reed-Solomon type erasure codes.
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*
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* This function determines what instruction sets are enabled and
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* selects the appropriate version at runtime.
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*
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* @param len Length of each block of data (vector) of source or dest data.
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* @param k The number of vector sources or rows in the generator matrix
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* for coding.
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* @param rows The number of output vectors to concurrently encode/decode.
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* @param gftbls Pointer to array of input tables generated from coding
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* coefficients in ec_init_tables(). Must be of size 32*k*rows
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* @param data Array of pointers to source input buffers.
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* @param coding Array of pointers to coded output buffers.
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* @returns none
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*/
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void ec_encode_data(int len, int k, int rows, uint8_t *gftbls, uint8_t **data, uint8_t **coding);
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/**
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* @brief Generate or decode erasure codes on blocks of data, runs baseline version.
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*
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* Given a list of source data blocks, generate one or multiple blocks of
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* encoded data as specified by a matrix of GF(2^8) coefficients. When given a
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* suitable set of coefficients, this function will perform the fast generation
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* or decoding of Reed-Solomon type erasure codes.
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*
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* @param len Length of each block of data (vector) of source or dest data.
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* @param srcs The number of vector sources or rows in the generator matrix
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* for coding.
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* @param dests The number of output vectors to concurrently encode/decode.
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* @param v Pointer to array of input tables generated from coding
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* coefficients in ec_init_tables(). Must be of size 32*k*rows
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* @param src Array of pointers to source input buffers.
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* @param dest Array of pointers to coded output buffers.
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* @returns none
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*/
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void ec_encode_data_base(int len, int srcs, int dests, uint8_t *v, uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product.
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*
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* Does a GF(2^8) dot product across each byte of the input array and a constant
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* set of coefficients to produce each byte of the output. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 32*vlen byte constant array based on the input coefficients.
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*
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* @requires SSE4.1
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 32*vlen byte array of pre-calculated constants based
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* on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Pointer to destination data array.
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* @returns none
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*/
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void gf_vect_dot_prod_sse(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t *dest);
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/**
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* @brief GF(2^8) vector dot product.
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*
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* Does a GF(2^8) dot product across each byte of the input array and a constant
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* set of coefficients to produce each byte of the output. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 32*vlen byte constant array based on the input coefficients.
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*
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* @requires AVX
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 32*vlen byte array of pre-calculated constants based
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* on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Pointer to destination data array.
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* @returns none
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*/
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void gf_vect_dot_prod_avx(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t *dest);
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/**
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* @brief GF(2^8) vector dot product.
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*
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* Does a GF(2^8) dot product across each byte of the input array and a constant
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* set of coefficients to produce each byte of the output. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 32*vlen byte constant array based on the input coefficients.
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*
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* @requires AVX2
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* @param len Length of each vector in bytes. Must be >= 32.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 32*vlen byte array of pre-calculated constants based
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* on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Pointer to destination data array.
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* @returns none
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*/
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void gf_vect_dot_prod_avx2(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t *dest);
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/**
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* @brief GF(2^8) vector dot product with two outputs.
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*
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* Vector dot product optimized to calculate two ouputs at a time. Does two
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* GF(2^8) dot products across each byte of the input array and two constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 2*32*vlen byte constant array based on the two sets of input coefficients.
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*
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* @requires SSE4.1
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 2*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_2vect_dot_prod_sse(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with two outputs.
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*
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* Vector dot product optimized to calculate two ouputs at a time. Does two
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* GF(2^8) dot products across each byte of the input array and two constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 2*32*vlen byte constant array based on the two sets of input coefficients.
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*
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* @requires AVX
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 2*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_2vect_dot_prod_avx(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with two outputs.
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*
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* Vector dot product optimized to calculate two ouputs at a time. Does two
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* GF(2^8) dot products across each byte of the input array and two constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 2*32*vlen byte constant array based on the two sets of input coefficients.
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*
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* @requires AVX2
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* @param len Length of each vector in bytes. Must be >= 32.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 2*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_2vect_dot_prod_avx2(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with three outputs.
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*
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* Vector dot product optimized to calculate three ouputs at a time. Does three
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* GF(2^8) dot products across each byte of the input array and three constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 3*32*vlen byte constant array based on the three sets of input coefficients.
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*
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* @requires SSE4.1
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 3*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_3vect_dot_prod_sse(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with three outputs.
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*
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* Vector dot product optimized to calculate three ouputs at a time. Does three
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* GF(2^8) dot products across each byte of the input array and three constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 3*32*vlen byte constant array based on the three sets of input coefficients.
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*
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* @requires AVX
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 3*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_3vect_dot_prod_avx(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with three outputs.
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*
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* Vector dot product optimized to calculate three ouputs at a time. Does three
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* GF(2^8) dot products across each byte of the input array and three constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 3*32*vlen byte constant array based on the three sets of input coefficients.
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*
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* @requires AVX2
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* @param len Length of each vector in bytes. Must be >= 32.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 3*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_3vect_dot_prod_avx2(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with four outputs.
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*
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* Vector dot product optimized to calculate four ouputs at a time. Does four
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* GF(2^8) dot products across each byte of the input array and four constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 4*32*vlen byte constant array based on the four sets of input coefficients.
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*
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* @requires SSE4.1
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 4*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_4vect_dot_prod_sse(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with four outputs.
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*
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* Vector dot product optimized to calculate four ouputs at a time. Does four
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* GF(2^8) dot products across each byte of the input array and four constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 4*32*vlen byte constant array based on the four sets of input coefficients.
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*
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* @requires AVX
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* @param len Length of each vector in bytes. Must be >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 4*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_4vect_dot_prod_avx(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with four outputs.
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*
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* Vector dot product optimized to calculate four ouputs at a time. Does four
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* GF(2^8) dot products across each byte of the input array and four constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 4*32*vlen byte constant array based on the four sets of input coefficients.
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*
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* @requires AVX2
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* @param len Length of each vector in bytes. Must be >= 32.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 4*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_4vect_dot_prod_avx2(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with five outputs.
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*
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* Vector dot product optimized to calculate five ouputs at a time. Does five
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* GF(2^8) dot products across each byte of the input array and five constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 5*32*vlen byte constant array based on the five sets of input coefficients.
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*
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* @requires SSE4.1
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* @param len Length of each vector in bytes. Must >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 5*32*vlen byte array of pre-calculated constants
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* based on the array of input coefficients.
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* @param src Array of pointers to source inputs.
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* @param dest Array of pointers to destination data buffers.
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* @returns none
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*/
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void gf_5vect_dot_prod_sse(int len, int vlen, uint8_t *gftbls,
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uint8_t **src, uint8_t **dest);
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/**
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* @brief GF(2^8) vector dot product with five outputs.
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*
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* Vector dot product optimized to calculate five ouputs at a time. Does five
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* GF(2^8) dot products across each byte of the input array and five constant
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* sets of coefficients to produce each byte of the outputs. Can be used for
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* erasure coding encode and decode. Function requires pre-calculation of a
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* 5*32*vlen byte constant array based on the five sets of input coefficients.
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*
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* @requires AVX
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* @param len Length of each vector in bytes. Must >= 16.
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* @param vlen Number of vector sources.
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* @param gftbls Pointer to 5*32*vlen byte array of pre-calculated constants
|
|
* based on the array of input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Array of pointers to destination data buffers.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_5vect_dot_prod_avx(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t **dest);
|
|
|
|
/**
|
|
* @brief GF(2^8) vector dot product with five outputs.
|
|
*
|
|
* Vector dot product optimized to calculate five ouputs at a time. Does five
|
|
* GF(2^8) dot products across each byte of the input array and five constant
|
|
* sets of coefficients to produce each byte of the outputs. Can be used for
|
|
* erasure coding encode and decode. Function requires pre-calculation of a
|
|
* 5*32*vlen byte constant array based on the five sets of input coefficients.
|
|
*
|
|
* @requires AVX2
|
|
* @param len Length of each vector in bytes. Must >= 32.
|
|
* @param vlen Number of vector sources.
|
|
* @param gftbls Pointer to 5*32*vlen byte array of pre-calculated constants
|
|
* based on the array of input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Array of pointers to destination data buffers.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_5vect_dot_prod_avx2(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t **dest);
|
|
|
|
/**
|
|
* @brief GF(2^8) vector dot product with six outputs.
|
|
*
|
|
* Vector dot product optimized to calculate six ouputs at a time. Does six
|
|
* GF(2^8) dot products across each byte of the input array and six constant
|
|
* sets of coefficients to produce each byte of the outputs. Can be used for
|
|
* erasure coding encode and decode. Function requires pre-calculation of a
|
|
* 6*32*vlen byte constant array based on the six sets of input coefficients.
|
|
*
|
|
* @requires SSE4.1
|
|
* @param len Length of each vector in bytes. Must be >= 16.
|
|
* @param vlen Number of vector sources.
|
|
* @param gftbls Pointer to 6*32*vlen byte array of pre-calculated constants
|
|
* based on the array of input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Array of pointers to destination data buffers.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_6vect_dot_prod_sse(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t **dest);
|
|
|
|
/**
|
|
* @brief GF(2^8) vector dot product with six outputs.
|
|
*
|
|
* Vector dot product optimized to calculate six ouputs at a time. Does six
|
|
* GF(2^8) dot products across each byte of the input array and six constant
|
|
* sets of coefficients to produce each byte of the outputs. Can be used for
|
|
* erasure coding encode and decode. Function requires pre-calculation of a
|
|
* 6*32*vlen byte constant array based on the six sets of input coefficients.
|
|
*
|
|
* @requires AVX
|
|
* @param len Length of each vector in bytes. Must be >= 16.
|
|
* @param vlen Number of vector sources.
|
|
* @param gftbls Pointer to 6*32*vlen byte array of pre-calculated constants
|
|
* based on the array of input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Array of pointers to destination data buffers.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_6vect_dot_prod_avx(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t **dest);
|
|
|
|
/**
|
|
* @brief GF(2^8) vector dot product with six outputs.
|
|
*
|
|
* Vector dot product optimized to calculate six ouputs at a time. Does six
|
|
* GF(2^8) dot products across each byte of the input array and six constant
|
|
* sets of coefficients to produce each byte of the outputs. Can be used for
|
|
* erasure coding encode and decode. Function requires pre-calculation of a
|
|
* 6*32*vlen byte constant array based on the six sets of input coefficients.
|
|
*
|
|
* @requires AVX2
|
|
* @param len Length of each vector in bytes. Must be >= 32.
|
|
* @param vlen Number of vector sources.
|
|
* @param gftbls Pointer to 6*32*vlen byte array of pre-calculated constants
|
|
* based on the array of input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Array of pointers to destination data buffers.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_6vect_dot_prod_avx2(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t **dest);
|
|
|
|
/**
|
|
* @brief GF(2^8) vector dot product, runs baseline version.
|
|
*
|
|
* Does a GF(2^8) dot product across each byte of the input array and a constant
|
|
* set of coefficients to produce each byte of the output. Can be used for
|
|
* erasure coding encode and decode. Function requires pre-calculation of a
|
|
* 32*vlen byte constant array based on the input coefficients.
|
|
*
|
|
* @param len Length of each vector in bytes. Must be >= 16.
|
|
* @param vlen Number of vector sources.
|
|
* @param gftbls Pointer to 32*vlen byte array of pre-calculated constants based
|
|
* on the array of input coefficients. Only elements 32*CONST*j + 1
|
|
* of this array are used, where j = (0, 1, 2...) and CONST is the
|
|
* number of elements in the array of input coefficients. The
|
|
* elements used correspond to the original input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Pointer to destination data array.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_vect_dot_prod_base(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t *dest);
|
|
|
|
/**
|
|
* @brief GF(2^8) vector dot product, runs appropriate version.
|
|
*
|
|
* Does a GF(2^8) dot product across each byte of the input array and a constant
|
|
* set of coefficients to produce each byte of the output. Can be used for
|
|
* erasure coding encode and decode. Function requires pre-calculation of a
|
|
* 32*vlen byte constant array based on the input coefficients.
|
|
*
|
|
* This function determines what instruction sets are enabled and
|
|
* selects the appropriate version at runtime.
|
|
*
|
|
* @param len Length of each vector in bytes. Must be >= 32.
|
|
* @param vlen Number of vector sources.
|
|
* @param gftbls Pointer to 32*vlen byte array of pre-calculated constants based
|
|
* on the array of input coefficients.
|
|
* @param src Array of pointers to source inputs.
|
|
* @param dest Pointer to destination data array.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_vect_dot_prod(int len, int vlen, uint8_t *gftbls,
|
|
uint8_t **src, uint8_t *dest);
|
|
|
|
/**********************************************************************
|
|
* The remaining are lib support functions used in GF(2^8) operations.
|
|
*/
|
|
|
|
/**
|
|
* @brief Single element GF(2^8) multiply.
|
|
*
|
|
* @param a Multiplicand a
|
|
* @param b Multiplicand b
|
|
* @returns Product of a and b in GF(2^8)
|
|
*/
|
|
|
|
uint8_t gf_mul(uint8_t a, uint8_t b);
|
|
|
|
/**
|
|
* @brief Single element GF(2^8) inverse.
|
|
*
|
|
* @param a Input element
|
|
* @returns Field element b such that a x b = {1}
|
|
*/
|
|
|
|
uint8_t gf_inv(uint8_t a);
|
|
|
|
/**
|
|
* @brief Generate a matrix of coefficients to be used for encoding.
|
|
*
|
|
* Vandermonde matrix example of encoding coefficients where high portion of
|
|
* matrix is identity matrix I and lower portion is constructed as 2^{i*(j-k+1)}
|
|
* i:{0,k-1} j:{k,m-1}. Commonly used method for choosing coefficients in
|
|
* erasure encoding but does not guarantee invertable for every sub matrix. For
|
|
* large k it is possible to find cases where the decode matrix chosen from
|
|
* sources and parity not in erasure are not invertable. Users may want to
|
|
* adjust for k > 5.
|
|
*
|
|
* @param a [mxk] array to hold coefficients
|
|
* @param m number of rows in matrix corresponding to srcs + parity.
|
|
* @param k number of columns in matrix corresponding to srcs.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_gen_rs_matrix(uint8_t *a, int m, int k);
|
|
|
|
/**
|
|
* @brief Generate a Cauchy matrix of coefficients to be used for encoding.
|
|
*
|
|
* Cauchy matrix example of encoding coefficients where high portion of matrix
|
|
* is identity matrix I and lower portion is constructed as 1/(i + j) | i != j,
|
|
* i:{0,k-1} j:{k,m-1}. Any sub-matrix of a Cauchy matrix should be invertable.
|
|
*
|
|
* @param a [mxk] array to hold coefficients
|
|
* @param m number of rows in matrix corresponding to srcs + parity.
|
|
* @param k number of columns in matrix corresponding to srcs.
|
|
* @returns none
|
|
*/
|
|
|
|
void gf_gen_cauchy1_matrix(uint8_t *a, int m, int k);
|
|
|
|
/**
|
|
* @brief Invert a matrix in GF(2^8)
|
|
*
|
|
* @param in input matrix
|
|
* @param out output matrix such that [in] x [out] = [I] - identity matrix
|
|
* @param n size of matrix [nxn]
|
|
* @returns 0 successful, other fail on singular input matrix
|
|
*/
|
|
|
|
int gf_invert_matrix(uint8_t *in, uint8_t *out, const int n);
|
|
|
|
/*************************************************************/
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif //_ERASURE_CODE_H_
|