init_rs.cpp

/* Initialize a RS codec
 *
 * Copyright 2002 Phil Karn, KA9Q
 * May be used under the terms of the GNU General Public License (GPL)
 */
#include <stdlib.h>

#ifdef CCSDS
#include "ccsds.h"
#elif defined(BIGSYM)
#include "int.h"
#else
#include "char.h"
#endif

#define NULL ((void *)0)

void FREE_RS(void *p){
  struct rs *rs = (struct rs *)p;

  free(rs->alpha_to);
  free(rs->index_of);
  free(rs->genpoly);
  free(rs);
}

/* Initialize a Reed-Solomon codec
 * symsize = symbol size, bits (1-8)
 * gfpoly = Field generator polynomial coefficients
 * fcr = first root of RS code generator polynomial, index form
 * prim = primitive element to generate polynomial roots
 * nroots = RS code generator polynomial degree (number of roots)
 */
void *INIT_RS(unsigned int symsize,unsigned int gfpoly,unsigned fcr,unsigned prim,
		unsigned int nroots){
  struct rs *rs;
  int i, j, sr,root,iprim;

  if(symsize > 8*sizeof(DTYPE))
    return NULL; /* Need version with ints rather than chars */

  if(fcr >= (1<<symsize))
    return NULL;
  if(prim == 0 || prim >= (1<<symsize))
    return NULL;
  if(nroots >= (1<<symsize))
    return NULL; /* Can't have more roots than symbol values! */

  rs = (struct rs *)calloc(1,sizeof(struct rs));
  rs->mm = symsize;
  rs->nn = (1<<symsize)-1;

  rs->alpha_to = (DTYPE *)malloc(sizeof(DTYPE)*(rs->nn+1));
  if(rs->alpha_to == NULL){
    free(rs);
    return NULL;
  }
  rs->index_of = (DTYPE *)malloc(sizeof(DTYPE)*(rs->nn+1));
  if(rs->index_of == NULL){
    free(rs->alpha_to);
    free(rs);
    return NULL;
  }

  /* Generate Galois field lookup tables */
  rs->index_of[0] = A0; /* log(zero) = -inf */
  rs->alpha_to[A0] = 0; /* alpha**-inf = 0 */
  sr = 1;
  for(i=0;i<rs->nn;i++){
    rs->index_of[sr] = i;
    rs->alpha_to[i] = sr;
    sr <<= 1;
    if(sr & (1<<symsize))
      sr ^= gfpoly;
    sr &= rs->nn;
  }
  if(sr != 1){
    /* field generator polynomial is not primitive! */
    free(rs->alpha_to);
    free(rs->index_of);
    free(rs);
    return NULL;
  }

  /* Form RS code generator polynomial from its roots */
  rs->genpoly = (DTYPE *)malloc(sizeof(DTYPE)*(nroots+1));
  if(rs->genpoly == NULL){
    free(rs->alpha_to);
    free(rs->index_of);
    free(rs);
    return NULL;
  }
  rs->fcr = fcr;
  rs->prim = prim;
  rs->nroots = nroots;

  /* Find prim-th root of 1, used in decoding */
  for(iprim=1;(iprim % prim) != 0;iprim += rs->nn)
    ;
  rs->iprim = iprim / prim;

  rs->genpoly[0] = 1;
  for (i = 0,root=fcr*prim; i < nroots; i++,root += prim) {
    rs->genpoly[i+1] = 1;

    /* Multiply rs->genpoly[] by  @**(root + x) */
    for (j = i; j > 0; j--){
      if (rs->genpoly[j] != 0)
	rs->genpoly[j] = rs->genpoly[j-1] ^ rs->alpha_to[modnn(rs,rs->index_of[rs->genpoly[j]] + root)];
      else
	rs->genpoly[j] = rs->genpoly[j-1];
    }
    /* rs->genpoly[0] can never be zero */
    rs->genpoly[0] = rs->alpha_to[modnn(rs,rs->index_of[rs->genpoly[0]] + root)];
  }
  /* convert rs->genpoly[] to index form for quicker encoding */
  for (i = 0; i <= nroots; i++)
    rs->genpoly[i] = rs->index_of[rs->genpoly[i]];

  return rs;
}