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1a23757b26
git-svn-id: svn+ssh://svn.code.sf.net/p/wsjt/wsjt/branches/wsjtx@6122 ab8295b8-cf94-4d9e-aec4-7959e3be5d79
271 lines
8.3 KiB
C
271 lines
8.3 KiB
C
/*
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sfrsd2.c
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A soft-decision decoder for the JT65 (63,12) Reed-Solomon code.
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This decoding scheme is built around Phil Karn's Berlekamp-Massey
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errors and erasures decoder. The approach is inspired by a number of
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publications, including the stochastic Chase decoder described
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in "Stochastic Chase Decoding of Reed-Solomon Codes", by Leroux et al.,
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IEEE Communications Letters, Vol. 14, No. 9, September 2010 and
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"Soft-Decision Decoding of Reed-Solomon Codes Using Successive Error-
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and-Erasure Decoding," by Soo-Woong Lee and B. V. K. Vijaya Kumar.
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Steve Franke K9AN and Joe Taylor K1JT
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <unistd.h>
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#include <time.h>
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#include <string.h>
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#include "rs2.h"
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static void *rs;
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void sfrsd2_(int mrsym[], int mrprob[], int mr2sym[], int mr2prob[],
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int* ntrials0, int* verbose0, int correct[], int param[],
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int indexes[], double tt[], int ntry[])
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{
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int rxdat[63], rxprob[63], rxdat2[63], rxprob2[63];
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int workdat[63];
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int era_pos[51];
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int i, j, numera, nerr, nn=63, kk=12;
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FILE *datfile, *logfile;
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int ntrials = *ntrials0;
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int verbose = *verbose0;
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int nhard=0,nhard_min=32768,nsoft=0,nsoft_min=32768;
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int nsofter=0,nsofter_min=32768,ntotal=0,ntotal_min=32768,ncandidates;
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int nera_best;
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clock_t t0=0,t1=0;
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static unsigned int nseed;
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/* For JT exp(x) symbol metrics - gaussian noise, no fading
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int perr[8][8] = {
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12, 31, 44, 52, 60, 57, 50, 50,
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28, 38, 49, 58, 65, 69, 64, 80,
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40, 41, 53, 62, 66, 73, 76, 81,
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50, 53, 53, 64, 70, 76, 77, 81,
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50, 50, 52, 60, 71, 72, 77, 84,
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50, 50, 56, 62, 67, 73, 81, 85,
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50, 50, 71, 62, 70, 77, 80, 85,
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50, 50, 62, 64, 71, 75, 82, 87};
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*/
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/* For JT exp(x) symbol metrics - hf conditions
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int perr[8][8] = {
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10, 10, 10, 12, 13, 15, 15, 9,
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28, 30, 43, 50, 61, 58, 50, 34,
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40, 40, 50, 53, 70, 65, 58, 45,
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50, 50, 53, 74, 71, 68, 66, 52,
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50, 50, 52, 45, 67, 70, 70, 60,
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50, 50, 56, 73, 55, 74, 69, 67,
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50, 50, 70, 81, 81, 69, 76, 75,
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50, 50, 62, 57, 77, 81, 73, 78};
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*/
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// For SF power-percentage symbol metrics - composite gnnf/hf
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int perr[8][8] = {
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4, 9, 11, 13, 14, 14, 15, 15,
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2, 20, 20, 30, 40, 50, 50, 50,
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7, 24, 27, 40, 50, 50, 50, 50,
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13, 25, 35, 46, 52, 70, 50, 50,
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17, 30, 42, 54, 55, 64, 71, 70,
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25, 39, 48, 57, 64, 66, 77, 77,
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32, 45, 54, 63, 66, 75, 78, 83,
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51, 58, 57, 66, 72, 77, 82, 86};
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//
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/* For SF power-percentage symbol metrics - gaussian noise, no fading
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int perr[8][8] = {
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1, 10, 10, 20, 30, 50, 50, 50,
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2, 20, 20, 30, 40, 50, 50, 50,
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7, 24, 27, 40, 50, 50, 50, 50,
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13, 25, 35, 46, 52, 70, 50, 50,
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17, 30, 42, 54, 55, 64, 71, 70,
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25, 39, 48, 57, 64, 66, 77, 77,
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32, 45, 54, 63, 66, 75, 78, 83,
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51, 58, 57, 66, 72, 77, 82, 86};
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*/
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/* For SF power-percentage symbol metrics - hf
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int perr[8][8] = {
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4, 9, 11, 13, 14, 14, 15, 15,
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9, 12, 14, 25, 28, 30, 50, 50,
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18, 22, 22, 28, 32, 35, 50, 50,
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30, 35, 38, 38, 57, 50, 50, 50,
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43, 46, 45, 53, 50, 64, 70, 50,
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56, 58, 58, 57, 67, 66, 80, 77,
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65, 72, 73, 72, 67, 75, 80, 83,
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70, 74, 73, 70, 75, 77, 80, 86};
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*/
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if(verbose) {
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logfile=fopen("/tmp/sfrsd.log","a");
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if( !logfile ) {
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printf("Unable to open sfrsd.log\n");
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exit(1);
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}
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}
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// Initialize the KA9Q Reed-Solomon encoder/decoder
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unsigned int symsize=6, gfpoly=0x43, fcr=3, prim=1, nroots=51;
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rs=init_rs_int(symsize, gfpoly, fcr, prim, nroots, 0);
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// Reverse the received symbol vector for BM decoder
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for (i=0; i<63; i++) {
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rxdat[i]=mrsym[62-i];
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rxprob[i]=mrprob[62-i];
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rxdat2[i]=mr2sym[62-i];
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rxprob2[i]=mr2prob[62-i];
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}
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// Sort the mrsym probabilities to find the least reliable symbols
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int k, pass, tmp, nsym=63;
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int probs[63];
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for (i=0; i<63; i++) {
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indexes[i]=i;
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probs[i]=rxprob[i];
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}
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for (pass = 1; pass <= nsym-1; pass++) {
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for (k = 0; k < nsym - pass; k++) {
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if( probs[k] < probs[k+1] ) {
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tmp = probs[k];
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probs[k] = probs[k+1];
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probs[k+1] = tmp;
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tmp = indexes[k];
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indexes[k] = indexes[k+1];
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indexes[k+1] = tmp;
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}
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}
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}
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// See if we can decode using BM HDD, and calculate the syndrome vector.
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memset(era_pos,0,51*sizeof(int));
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numera=0;
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memcpy(workdat,rxdat,sizeof(rxdat));
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nerr=decode_rs_int(rs,workdat,era_pos,numera,1);
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if( nerr >= 0 ) {
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if(verbose) {
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fprintf(logfile,"BM decode nerrors= %3d : \n",nerr);
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fclose(logfile);
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}
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memcpy(correct,workdat,63*sizeof(int));
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param[0]=0;
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param[1]=0;
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param[2]=0;
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param[3]=0;
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param[4]=0;
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ntry[0]=0;
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return;
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}
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/*
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Generate random erasure-locator vectors and see if any of them
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decode. This will generate a list of potential codewords. The
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"soft" distance between each codeword and the received word is
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used to decide which codeword is "best".
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*/
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nseed=1; //Seed for random numbers
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float ratio, ratio0[63];
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int thresh, nsum;
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int thresh0[63];
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ncandidates=0;
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nsum=0;
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int ii,jj;
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for (i=0; i<nn; i++) {
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nsum=nsum+rxprob[i];
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j = indexes[62-i];
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ratio = (float)rxprob2[j]/((float)rxprob[j]+0.01);
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ratio0[i]=ratio;
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ii = 7.999*ratio;
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jj = (62-i)/8;
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thresh0[i] = 1.3*perr[ii][jj];
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}
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if(nsum==0) return;
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for (k=0; k<ntrials; k++) {
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memset(era_pos,0,51*sizeof(int));
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memcpy(workdat,rxdat,sizeof(rxdat));
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/*
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Mark a subset of the symbols as erasures.
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Run through the ranked symbols, starting with the worst, i=0.
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NB: j is the symbol-vector index of the symbol with rank i.
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*/
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numera=0;
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for (i=0; i<nn; i++) {
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j = indexes[62-i];
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thresh=thresh0[i];
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long int ir;
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// Generate a random number ir, 0 <= ir < 100 (see POSIX.1-2001 example).
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nseed = nseed * 1103515245 + 12345;
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ir = (unsigned)(nseed/65536) % 32768;
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ir = (100*ir)/32768;
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if((ir < thresh ) && numera < 51) {
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era_pos[numera]=j;
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numera=numera+1;
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}
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}
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t0=clock();
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nerr=decode_rs_int(rs,workdat,era_pos,numera,0);
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t1=clock();
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tt[0]+=(double)(t1-t0)/CLOCKS_PER_SEC;
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if( nerr >= 0 ) {
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ncandidates=ncandidates+1;
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nhard=0;
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nsoft=0;
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nsofter=0;
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for (i=0; i<63; i++) {
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if(workdat[i] != rxdat[i]) {
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nhard=nhard+1;
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nsofter=nsofter+rxprob[i];
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if(workdat[i] != rxdat2[i]) {
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nsoft=nsoft+rxprob[i];
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}
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} else {
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nsofter=nsofter-rxprob[i];
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}
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}
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nsoft=63*nsoft/nsum;
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nsofter=63*nsofter/nsum;
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ntotal=nsoft+nhard;
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if( ntotal<ntotal_min ) {
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nsoft_min=nsoft;
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nhard_min=nhard;
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nsofter_min=nsofter;
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ntotal_min=ntotal;
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memcpy(correct,workdat,63*sizeof(int));
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nera_best=numera;
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ntry[0]=k;
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}
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if(ntotal_min<72 && nhard_min<42) break;
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}
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if(k == ntrials-1) ntry[0]=k+1;
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}
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if( ntotal_min>=76 || nhard>=44 ) {
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nhard_min=-1;
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}
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if(verbose) {
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fprintf(logfile,"ncand %4d nhard %4d nsoft %4d nhard+nsoft %4d nsum %8d\n",
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ncandidates,nhard_min,nsoft_min,ntotal_min,nsum);
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fclose(logfile);
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}
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param[0]=ncandidates;
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param[1]=nhard_min;
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param[2]=nsoft_min;
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param[3]=nera_best;
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param[4]=nsofter_min;
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if(param[0]==0) param[2]=-1;
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return;
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}
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