path: root/src/isa-l/include/erasure_code.h

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#ifndef _ERASURE_CODE_H_
#define _ERASURE_CODE_H_

/**
 *  @file erasure_code.h
 *  @brief Interface to functions supporting erasure code encode and decode.
 *
 *  This file defines the interface to optimized functions used in erasure
 *  codes.  Encode and decode of erasures in GF(2^8) are made by calculating the
 *  dot product of the symbols (bytes in GF(2^8)) across a set of buffers and a
 *  set of coefficients.  Values for the coefficients are determined by the type
 *  of erasure code.  Using a general dot product means that any sequence of
 *  coefficients may be used including erasure codes based on random
 *  coefficients.
 *  Multiple versions of dot product are supplied to calculate 1-6 output
 *  vectors in one pass.
 *  Base GF multiply and divide functions can be sped up by defining
 *  GF_LARGE_TABLES at the expense of memory size.
 *
 */

#include "gf_vect_mul.h"

#ifdef __cplusplus
extern "C" {
#endif

/**
 * @brief Initialize tables for fast Erasure Code encode and decode.
 *
 * Generates the expanded tables needed for fast encode or decode for erasure
 * codes on blocks of data.  32bytes is generated for each input coefficient.
 *
 * @param k      The number of vector sources or rows in the generator matrix
 *               for coding.
 * @param rows   The number of output vectors to concurrently encode/decode.
 * @param a      Pointer to sets of arrays of input coefficients used to encode
 *               or decode data.
 * @param gftbls Pointer to start of space for concatenated output tables
 *               generated from input coefficients.  Must be of size 32*k*rows.
 * @returns none
 */

void ec_init_tables(int k, int rows, unsigned char* a, unsigned char* gftbls);

/**
 * @brief Generate or decode erasure codes on blocks of data, runs appropriate version.
 *
 * Given a list of source data blocks, generate one or multiple blocks of
 * encoded data as specified by a matrix of GF(2^8) coefficients. When given a
 * suitable set of coefficients, this function will perform the fast generation
 * or decoding of Reed-Solomon type erasure codes.
 *
 * This function determines what instruction sets are enabled and
 * selects the appropriate version at runtime.
 *
 * @param len    Length of each block of data (vector) of source or dest data.
 * @param k      The number of vector sources or rows in the generator matrix
 * 		 for coding.
 * @param rows   The number of output vectors to concurrently encode/decode.
 * @param gftbls Pointer to array of input tables generated from coding
 * 		 coefficients in ec_init_tables(). Must be of size 32*k*rows
 * @param data   Array of pointers to source input buffers.
 * @param coding Array of pointers to coded output buffers.
 * @returns none
 */

void ec_encode_data(int len, int k, int rows, unsigned char *gftbls, unsigned char **data,
		    unsigned char **coding);

/**
 * @brief Generate or decode erasure codes on blocks of data, runs baseline version.
 *
 * Baseline version of ec_encode_data() with same parameters.
 */
void ec_encode_data_base(int len, int srcs, int dests, unsigned char *v, unsigned char **src,
			 unsigned char **dest);

/**
 * @brief Generate update for encode or decode of erasure codes from single source, runs appropriate version.
 *
 * Given one source data block, update one or multiple blocks of encoded data as
 * specified by a matrix of GF(2^8) coefficients. When given a suitable set of
 * coefficients, this function will perform the fast generation or decoding of
 * Reed-Solomon type erasure codes from one input source at a time.
 *
 * This function determines what instruction sets are enabled and selects the
 * appropriate version at runtime.
 *
 * @param len    Length of each block of data (vector) of source or dest data.
 * @param k      The number of vector sources or rows in the generator matrix
 * 		 for coding.
 * @param rows   The number of output vectors to concurrently encode/decode.
 * @param vec_i  The vector index corresponding to the single input source.
 * @param g_tbls Pointer to array of input tables generated from coding
 * 		 coefficients in ec_init_tables(). Must be of size 32*k*rows
 * @param data   Pointer to single input source used to update output parity.
 * @param coding Array of pointers to coded output buffers.
 * @returns none
 */
void ec_encode_data_update(int len, int k, int rows, int vec_i, unsigned char *g_tbls,
			   unsigned char *data, unsigned char **coding);

/**
 * @brief Generate update for encode or decode of erasure codes from single source.
 *
 * Baseline version of ec_encode_data_update().
 */

void ec_encode_data_update_base(int len, int k, int rows, int vec_i, unsigned char *v,
				unsigned char *data, unsigned char **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, unsigned char *gftbls,
                        unsigned char **src, unsigned char *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, unsigned char *gftbls,
                        unsigned char **src, unsigned char *dest);

/**
 * @brief GF(2^8) vector multiply accumulate, runs appropriate version.
 *
 * Does a GF(2^8) multiply across each byte of input source with expanded
 * constant and add to destination array. Can be used for erasure coding encode
 * and decode update when only one source is available at a time. Function
 * requires pre-calculation of a 32*vec 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 >= 64.
 * @param vec    The number of vector sources or rows in the generator matrix
 * 		 for coding.
 * @param vec_i  The vector index corresponding to the single input source.
 * @param gftbls Pointer to array of input tables generated from coding
 * 		 coefficients in ec_init_tables(). Must be of size 32*vec.
 * @param src    Array of pointers to source inputs.
 * @param dest   Pointer to destination data array.
 * @returns none
 */

void gf_vect_mad(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		 unsigned char *dest);

/**
 * @brief GF(2^8) vector multiply accumulate, baseline version.
 *
 * Baseline version of gf_vect_mad() with same parameters.
 */

void gf_vect_mad_base(int len, int vec, int vec_i, unsigned char *v, unsigned char *src,
		      unsigned char *dest);

// x86 only
#if defined(__i386__) || defined(__x86_64__)

/**
 * @brief Generate or decode erasure codes on blocks of data.
 *
 * Arch specific version of ec_encode_data() with same parameters.
 * @requires SSE4.1
 */
void ec_encode_data_sse(int len, int k, int rows, unsigned char *gftbls, unsigned char **data,
			unsigned char **coding);

/**
 * @brief Generate or decode erasure codes on blocks of data.
 *
 * Arch specific version of ec_encode_data() with same parameters.
 * @requires AVX
 */
void ec_encode_data_avx(int len, int k, int rows, unsigned char *gftbls, unsigned char **data,
			unsigned char **coding);

/**
 * @brief Generate or decode erasure codes on blocks of data.
 *
 * Arch specific version of ec_encode_data() with same parameters.
 * @requires AVX2
 */
void ec_encode_data_avx2(int len, int k, int rows, unsigned char *gftbls, unsigned char **data,
			 unsigned char **coding);

/**
 * @brief Generate update for encode or decode of erasure codes from single source.
 *
 * Arch specific version of ec_encode_data_update() with same parameters.
 * @requires SSE4.1
 */

void ec_encode_data_update_sse(int len, int k, int rows, int vec_i, unsigned char *g_tbls,
			       unsigned char *data, unsigned char **coding);

/**
 * @brief Generate update for encode or decode of erasure codes from single source.
 *
 * Arch specific version of ec_encode_data_update() with same parameters.
 * @requires AVX
 */

void ec_encode_data_update_avx(int len, int k, int rows, int vec_i, unsigned char *g_tbls,
			       unsigned char *data, unsigned char **coding);

/**
 * @brief Generate update for encode or decode of erasure codes from single source.
 *
 * Arch specific version of ec_encode_data_update() with same parameters.
 * @requires AVX2
 */

void ec_encode_data_update_avx2(int len, int k, int rows, int vec_i, unsigned char *g_tbls,
				unsigned char *data, unsigned char **coding);

/**
 * @brief GF(2^8) vector dot product.
 *
 * 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.
 * @requires SSE4.1
 *
 * @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.
 * @param src    Array of pointers to source inputs.
 * @param dest   Pointer to destination data array.
 * @returns none
 */

void gf_vect_dot_prod_sse(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char *dest);

/**
 * @brief GF(2^8) vector dot product.
 *
 * 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.
 * @requires AVX
 *
 * @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.
 * @param src    Array of pointers to source inputs.
 * @param dest   Pointer to destination data array.
 * @returns none
 */

void gf_vect_dot_prod_avx(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char *dest);

/**
 * @brief GF(2^8) vector dot product.
 *
 * 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.
 * @requires AVX2
 *
 * @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_avx2(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char *dest);

/**
 * @brief GF(2^8) vector dot product with two outputs.
 *
 * Vector dot product optimized to calculate two outputs at a time. Does two
 * GF(2^8) dot products across each byte of the input array and two 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
 * 2*32*vlen byte constant array based on the two 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 2*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_2vect_dot_prod_sse(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with two outputs.
 *
 * Vector dot product optimized to calculate two outputs at a time. Does two
 * GF(2^8) dot products across each byte of the input array and two 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
 * 2*32*vlen byte constant array based on the two 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 2*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_2vect_dot_prod_avx(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with two outputs.
 *
 * Vector dot product optimized to calculate two outputs at a time. Does two
 * GF(2^8) dot products across each byte of the input array and two 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
 * 2*32*vlen byte constant array based on the two 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 2*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_2vect_dot_prod_avx2(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with three outputs.
 *
 * Vector dot product optimized to calculate three outputs at a time. Does three
 * GF(2^8) dot products across each byte of the input array and three 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
 * 3*32*vlen byte constant array based on the three 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 3*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_3vect_dot_prod_sse(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with three outputs.
 *
 * Vector dot product optimized to calculate three outputs at a time. Does three
 * GF(2^8) dot products across each byte of the input array and three 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
 * 3*32*vlen byte constant array based on the three 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 3*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_3vect_dot_prod_avx(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with three outputs.
 *
 * Vector dot product optimized to calculate three outputs at a time. Does three
 * GF(2^8) dot products across each byte of the input array and three 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
 * 3*32*vlen byte constant array based on the three 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 3*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_3vect_dot_prod_avx2(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with four outputs.
 *
 * Vector dot product optimized to calculate four outputs at a time. Does four
 * GF(2^8) dot products across each byte of the input array and four 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
 * 4*32*vlen byte constant array based on the four 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 4*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_4vect_dot_prod_sse(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with four outputs.
 *
 * Vector dot product optimized to calculate four outputs at a time. Does four
 * GF(2^8) dot products across each byte of the input array and four 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
 * 4*32*vlen byte constant array based on the four 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 4*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_4vect_dot_prod_avx(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with four outputs.
 *
 * Vector dot product optimized to calculate four outputs at a time. Does four
 * GF(2^8) dot products across each byte of the input array and four 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
 * 4*32*vlen byte constant array based on the four 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 4*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_4vect_dot_prod_avx2(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with five outputs.
 *
 * Vector dot product optimized to calculate five outputs 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 SSE4.1
 *
 * @param len    Length of each vector in bytes. Must >= 16.
 * @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_sse(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with five outputs.
 *
 * Vector dot product optimized to calculate five outputs 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 AVX
 *
 * @param len    Length of each vector in bytes. Must >= 16.
 * @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_avx(int len, int vlen, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with five outputs.
 *
 * Vector dot product optimized to calculate five outputs 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, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with six outputs.
 *
 * Vector dot product optimized to calculate six outputs 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, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with six outputs.
 *
 * Vector dot product optimized to calculate six outputs 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, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector dot product with six outputs.
 *
 * Vector dot product optimized to calculate six outputs 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, unsigned char *gftbls,
			unsigned char **src, unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply accumulate, arch specific version.
 *
 * Arch specific version of gf_vect_mad() with same parameters.
 * @requires SSE4.1
 */

void gf_vect_mad_sse(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		     unsigned char *dest);
/**
 * @brief GF(2^8) vector multiply accumulate, arch specific version.
 *
 * Arch specific version of gf_vect_mad() with same parameters.
 * @requires AVX
 */

void gf_vect_mad_avx(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		     unsigned char *dest);

/**
 * @brief GF(2^8) vector multiply accumulate, arch specific version.
 *
 * Arch specific version of gf_vect_mad() with same parameters.
 * @requires AVX2
 */

void gf_vect_mad_avx2(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char *dest);


/**
 * @brief GF(2^8) vector multiply with 2 accumulate.  SSE version.
 *
 * Does a GF(2^8) multiply across each byte of input source with expanded
 * constants and add to destination arrays. Can be used for erasure coding
 * encode and decode update when only one source is available at a
 * time. Function requires pre-calculation of a 32*vec byte constant array based
 * on the input coefficients.
 * @requires SSE4.1
 *
 * @param len    Length of each vector in bytes. Must be >= 32.
 * @param vec    The number of vector sources or rows in the generator matrix
 * 		 for coding.
 * @param vec_i  The vector index corresponding to the single input source.
 * @param gftbls Pointer to array of input tables generated from coding
 * 		 coefficients in ec_init_tables(). Must be of size 32*vec.
 * @param src    Pointer to source input array.
 * @param dest   Array of pointers to destination input/outputs.
 * @returns none
 */

void gf_2vect_mad_sse(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 2 accumulate. AVX version of gf_2vect_mad_sse().
 * @requires AVX
 */
void gf_2vect_mad_avx(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);
/**
 * @brief GF(2^8) vector multiply with 2 accumulate. AVX2 version of gf_2vect_mad_sse().
 * @requires AVX2
 */
void gf_2vect_mad_avx2(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		       unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 3 accumulate. SSE version.
 *
 * Does a GF(2^8) multiply across each byte of input source with expanded
 * constants and add to destination arrays. Can be used for erasure coding
 * encode and decode update when only one source is available at a
 * time. Function requires pre-calculation of a 32*vec byte constant array based
 * on the input coefficients.
 * @requires SSE4.1
 *
 * @param len    Length of each vector in bytes. Must be >= 32.
 * @param vec    The number of vector sources or rows in the generator matrix
 * 		 for coding.
 * @param vec_i  The vector index corresponding to the single input source.
 * @param gftbls Pointer to array of input tables generated from coding
 * 		 coefficients in ec_init_tables(). Must be of size 32*vec.
 * @param src    Pointer to source input array.
 * @param dest   Array of pointers to destination input/outputs.
 * @returns none
 */

void gf_3vect_mad_sse(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 3 accumulate. AVX version of gf_3vect_mad_sse().
 * @requires AVX
 */
void gf_3vect_mad_avx(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 3 accumulate. AVX2 version of gf_3vect_mad_sse().
 * @requires AVX2
 */
void gf_3vect_mad_avx2(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		       unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 4 accumulate. SSE version.
 *
 * Does a GF(2^8) multiply across each byte of input source with expanded
 * constants and add to destination arrays. Can be used for erasure coding
 * encode and decode update when only one source is available at a
 * time. Function requires pre-calculation of a 32*vec byte constant array based
 * on the input coefficients.
 * @requires SSE4.1
 *
 * @param len    Length of each vector in bytes. Must be >= 32.
 * @param vec    The number of vector sources or rows in the generator matrix
 * 		 for coding.
 * @param vec_i  The vector index corresponding to the single input source.
 * @param gftbls Pointer to array of input tables generated from coding
 * 		 coefficients in ec_init_tables(). Must be of size 32*vec.
 * @param src    Pointer to source input array.
 * @param dest   Array of pointers to destination input/outputs.
 * @returns none
 */

void gf_4vect_mad_sse(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 4 accumulate. AVX version of gf_4vect_mad_sse().
 * @requires AVX
 */
void gf_4vect_mad_avx(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);
/**
 * @brief GF(2^8) vector multiply with 4 accumulate. AVX2 version of gf_4vect_mad_sse().
 * @requires AVX2
 */
void gf_4vect_mad_avx2(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		       unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 5 accumulate. SSE version.
 * @requires SSE4.1
 */
void gf_5vect_mad_sse(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 5 accumulate. AVX version.
 * @requires AVX
 */
void gf_5vect_mad_avx(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);
/**
 * @brief GF(2^8) vector multiply with 5 accumulate. AVX2 version.
 * @requires AVX2
 */
void gf_5vect_mad_avx2(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		       unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 6 accumulate. SSE version.
 * @requires SSE4.1
 */
void gf_6vect_mad_sse(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);
/**
 * @brief GF(2^8) vector multiply with 6 accumulate. AVX version.
 * @requires AVX
 */
void gf_6vect_mad_avx(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		      unsigned char **dest);

/**
 * @brief GF(2^8) vector multiply with 6 accumulate. AVX2 version.
 * @requires AVX2
 */
void gf_6vect_mad_avx2(int len, int vec, int vec_i, unsigned char *gftbls, unsigned char *src,
		       unsigned char **dest);

#endif

/**********************************************************************
 * 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)
 */

unsigned char gf_mul(unsigned char a, unsigned char b);

/**
 * @brief Single element GF(2^8) inverse.
 *
 * @param a  Input element
 * @returns  Field element b such that a x b = {1}
 */

unsigned char gf_inv(unsigned char 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 pairs of m and k it is possible to find cases where the decode matrix
 * chosen from sources and parity is not invertable. Users may want to adjust
 * for certain pairs m and k. If m and k satisfy one of the following
 * inequalities, no adjustment is required:
 *
 * - k <= 3
 * - k = 4, m <= 25
 * - k = 5, m <= 10
 * - k <= 21, m-k = 4
 * - m - k <= 3.
 *
 * @param a  [m x k] 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(unsigned char *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  [m x k] 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(unsigned char *a, int m, int k);

/**
 * @brief Invert a matrix in GF(2^8)
 *
 * Attempts to construct an n x n inverse of the input matrix. Returns non-zero
 * if singular. Will always destroy input matrix in process.
 *
 * @param in  input matrix, destroyed by invert process
 * @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(unsigned char *in, unsigned char *out, const int n);


/*************************************************************/

#ifdef __cplusplus
}
#endif

#endif //_ERASURE_CODE_H_