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/*    Copyright (C) 2002-2003 XIAO, Gang of Universite de Nice - Sophia Antipolis
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 *
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 *  This program is free software; you can redistribute it and/or modify
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 *  it under the terms of the GNU General Public License as published by
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 *  the Free Software Foundation; either version 2 of the License, or
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 *  (at your option) any later version.
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 *
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 *  This program is distributed in the hope that it will be useful,
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 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
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 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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 *  GNU General Public License for more details.
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 *
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 *  You should have received a copy of the GNU General Public License
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 *  along with this program; if not, write to the Free Software
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 *  Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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 */
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        /* This program computes an optimal coding of variable lengths
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         * on a given distribution of probabilities,
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         * using Huffman algorithm */
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/* Input data: via two environment variables.
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 * wims_exec_parm is a comma-separated list of probability distributions.
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 *      Limited to MAX_ITEMS.
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 *      The input data will be scaled to unit sum.
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 * w_huffman_radix is the encoding radix, between 2 and MAX_RADIX.
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 *
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 * Output: two lines.
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 * Line 1: Entropy and Average code length, comma-separated.
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 * Line 2: comma-separated list of codes.
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 */
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#define MAX_ITEMS       2048
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#define MAX_CODELEN     100
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const char *codechar="0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
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#define MAX_RADIX       strlen(codechar)
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#include "../Lib/libwims.h"
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struct {
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    double prob;
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    int ind;
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    unsigned char code[MAX_CODELEN];
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    int codelen;
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} maintab[MAX_ITEMS*2];
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int itemcnt, origcnt;
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int indtab[MAX_ITEMS];
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int indcnt;
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int radix;
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double entropy, avelen;
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void error(char *msg)
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{
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    fprintf(stderr,"%s\n",msg);
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    printf("ERROR\n");
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    exit(1);
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}
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int indcmp(const void *p1, const void *p2)
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{
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    const int *i1, *i2;
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    double d1, d2;
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    i1=p1; i2=p2;
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    d1=maintab[*i1].prob; d2=maintab[*i2].prob;
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    if(d1==d2) return 0;
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    if(d1>d2) return -1;
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    else return 1;
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}
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void huffman(void)
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{
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    int t, i, j, l;
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    double d;
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    while(indcnt>radix) {
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        qsort(indtab,indcnt,sizeof(indtab[0]),indcmp);
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        if(radix>2) t=(indcnt+radix-3)%(radix-1)+2;
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        else t=2;
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        d=0;
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        for(i=indcnt-t; i<indcnt; i++) {
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            d+=maintab[indtab[i]].prob;
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            maintab[indtab[i]].ind=itemcnt;
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        }
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        maintab[itemcnt].prob=d;
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        maintab[itemcnt].ind=-1;
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        maintab[itemcnt].codelen=-1;
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        indtab[indcnt-t]=itemcnt;
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        indcnt-=t-1; itemcnt++;
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    }
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    for(i=0;i<indcnt;i++) {
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        maintab[indtab[i]].codelen=1;
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        maintab[indtab[i]].code[0]=i;
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        maintab[indtab[i]].ind=0;
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    }
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    for(i=itemcnt-1;i>=0;i--) {
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        if(maintab[i].codelen>0) continue;
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        j=maintab[i].ind; l=maintab[j].codelen;
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        if(l>=MAX_CODELEN) error("Code too long.");
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        memmove(maintab[i].code,maintab[j].code,l);
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        maintab[i].code[l]=maintab[j].ind++;
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        maintab[i].codelen=l+1;
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        maintab[i].ind=0;
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    }
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}
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void output(void)
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{
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    int i, j;
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    double d;
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    d=0;
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    for(i=0;i<origcnt;i++) d+=maintab[i].prob*maintab[i].codelen;
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    printf("%f,%f\n",entropy,d);
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    for(i=0;i<origcnt;i++) {
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        for(j=0;j<maintab[i].codelen;j++) printf("%c",codechar[(int) maintab[i].code[j]]);
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        if(i<origcnt-1) printf(",");
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        else printf("\n");
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    }
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}
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void getparm(char *p)
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{
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    int i;
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    char *p1, *p2;
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    double d1, dt;
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    origcnt=0; dt=0;
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    for(p1=find_word_start(p);
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        *p1; p1=find_word_start(p2)) {
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        for(p2=p1; *p2 && strchr(",;",*p2)==NULL; p2++);
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        if(*p2) *p2++=0;
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        d1=strevalue(p1);
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        if(!finite(d1) || d1<0) {
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            char buf[256];
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            snprintf(buf,sizeof(buf),"Bad data: %s",p1);
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            error(buf);
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        }
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        maintab[origcnt++].prob=d1;
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        dt+=d1;
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    }
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    if(dt*1000000<1) error("Empty data sum.");
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    if(origcnt<2) error("Insufficient data for encoding.");
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    itemcnt=origcnt;
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    if(dt!=1) for(i=0; i<origcnt; i++) maintab[i].prob/=dt;
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    entropy=0;
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    for(i=0;i<origcnt;i++) {
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        maintab[i].codelen=-1; maintab[i].ind=-1;
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        indtab[i]=i;
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        d1=maintab[i].prob;
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        if(d1>0) entropy-=d1*log(d1);
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    }
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    entropy=entropy/log(radix);
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    indcnt=origcnt;
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}
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int main()
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{
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    char *p;
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    int r;
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    error1=error; error2=error; error3=error;
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    p=getenv("w_huffman_radix");
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    if(p==NULL || *p==0) p=getenv("huffman_radix");
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    if(p==NULL || *p==0) radix=2;
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    else {
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        r=atoi(p); if(r!=0) radix=r;
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    }
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    if(radix<2 || radix>MAX_RADIX) error("Bad radix.");
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    p=getenv("wims_exec_parm");
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    if(p==NULL || *p==0) error("No input data.");
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    getparm(p);
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    huffman();
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    output();
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    return 0;
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}
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