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258
Task/Huffman-coding/PL-I/huffman-coding.pli
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258
Task/Huffman-coding/PL-I/huffman-coding.pli
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*process source attributes xref or(!);
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hencode: Proc Options(main);
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/*--------------------------------------------------------------------
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* 28.12.013 Walter Pachl translated from REXX
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*-------------------------------------------------------------------*/
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Dcl debug Bit(1) Init('0'b);
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Dcl (i,j,k) Bin Fixed(15);
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Dcl c Char(1);
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Dcl s Char(100) Var Init('this is an example for huffman encoding');
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Dcl sc Char(1000) Var Init('');
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Dcl sr Char(100) Var Init('');
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Dcl 1 cocc(100),
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2 c Char(1),
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2 occ Bin Fixed(31);
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Dcl cocc_n Bin Fixed(15) Init(0);
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dcl 1 node,
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2 id Bin Fixed(15), /* Node id */
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2 c Char(1), /* character */
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2 occ Bin Fixed(15), /* number of occurrences */
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2 left Bin Fixed(15), /* left child */
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2 rite Bin Fixed(15), /* right child */
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2 father Bin Fixed(15), /* father */
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2 digit Pic'9', /* digit (0 or 1) */
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2 term Pic'9'; /* 1=terminal node */
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node='';
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Dcl 1 m(100) Like node;
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Dcl m_n Bin Fixed(15) Init(0);
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Dcl father(100) Bin Fixed(15);
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Dcl 1 t(100),
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2 char Char(1),
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2 code Char(20) Var;
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Dcl t_n Bin Fixed(15) Init(0);
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Do i=1 To length(s); /* first collect used characters */
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c=substr(s,i,1); /* and number of occurrences */
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Do j=1 To cocc_n;
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If cocc(j).c=c Then Leave;
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End;
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If j<= cocc_n Then
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cocc(j).occ+=1;
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Else Do;
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cocc(j).c=c;
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cocc(j).occ=1;
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cocc_n+=1;
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End;
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End;
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Do j=1 To cocc_n; /* create initial node list */
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node.id+=1;
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node.c=cocc(j).c;
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node.occ=cocc(j).occ;
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node.term=1;
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Call add_node;
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End;
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If debug Then
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Call show;
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Do While(pairs()); /* while there is more than one fatherless node */
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Call mk_node; /* create a father node */
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If debug Then
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Call show;
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End;
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Call show; /* show the node table */
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Call mk_trans; /* create the translate table */
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Put Edit('The translate table:')(Skip,a);
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Do i=1 To t_n; /* show it */
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Put Edit(t(i).char,' -> ',t(i).code)(Skip,a,a,a);
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End;
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Call encode; /* encode the string s -> sc */
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Put Edit('length(sc)=',length(sc)) /* show it */
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(Skip,a,f(3));
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Do i=1 By 70 To length(sc);
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Put Edit(substr(sc,i,70))(Skip,a);
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End;
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Call decode; /* decode the string sc -> sr */
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Put Edit('input : ',s)(skip,a,a);
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Put Edit('result: ',sr)(skip,a,a);
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Return;
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add_node: Proc;
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/*--------------------------------------------------------------------
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* Insert the node according to increasing occurrences
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*-------------------------------------------------------------------*/
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il:
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Do i=1 To m_n;
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If m(i).occ>=node.occ Then Do;
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Do k=m_n To i By -1;
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m(k+1)=m(k);
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End;
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Leave il;
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End;
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End;
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m(i)=node;
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m_n+=1;
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End;
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show: Proc;
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/*--------------------------------------------------------------------
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* Show the contents of the node table
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*-------------------------------------------------------------------*/
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Put Edit('The list of nodes:')(Skip,a);
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Put Edit('id c oc l r f d t')(Skip,a);
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Do i=1 To m_n;
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Put Edit(m(i).id,m(i).c,m(i).occ,
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m(i).left,m(i).rite,m(i).father,m(i).digit,m(i).term)
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(Skip,f(2),x(1),a,4(f(3)),f(2),f(3));
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End;
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End;
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mk_node: Proc;
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/*--------------------------------------------------------------------
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* construct and store a new intermediate node or the top node
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*-------------------------------------------------------------------*/
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Dcl z Bin Fixed(15);
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node='';
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node.id=m_n+1; /* the next node id */
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node.c='*';
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ni=m_n+1;
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loop:
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Do i=1 To m_n; /* loop over node lines */
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If m(i).father=0 Then Do; /* a fatherless node */
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z=m(i).id; /* its id */
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If node.left=0 Then Do; /* new node has no left child */
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node.left=z; /* make this the lect child */
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node.occ=m(i).occ; /* occurrences */
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m(i).father=ni; /* store father info */
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m(i).digit=0; /* digit 0 to be used */
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father(z)=ni; /* remember z's father (redundant) */
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End;
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Else Do; /* New node has already left child */
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node.rite=z; /* make this the right child */
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node.occ=node.occ+m(i).occ; /* add in the occurrences */
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m(i).father=ni; /* store father info */
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m(i).digit=1; /* digit 1 to be used */
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father(z)=ni; /* remember z's father (redundant) */
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Leave loop;
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End;
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End;
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End;
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Call add_node;
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End;
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pairs: Proc Returns(Bit(1));
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/*--------------------------------------------------------------------
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* Return true if there are at least 2 fatherless nodes
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*-------------------------------------------------------------------*/
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Dcl i Bin Fixed(15);
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Dcl cnt Bin Fixed(15) Init(0);
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Do i=1 To m_n;
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If m(i).father=0 Then Do;
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cnt+=1;
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If cnt>1 Then
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Return('1'b);
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End;
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End;
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Return('0'b);
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End;
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mk_trans: Proc;
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/*--------------------------------------------------------------------
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* Compute the codes for all terminal nodes (characters)
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* and store the relation char -> code in array t(*)
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*-------------------------------------------------------------------*/
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Dcl (i,fi,fid,fidz,node,z) Bin Fixed(15);
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Dcl code Char(20) Var;
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Do i=1 To m_n; /* now we loop over all lines representing nodes */
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If m(i).term Then Do; /* for each terminal node */
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code=m(i).digit; /* its digit is the last code digit */
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node=m(i).id; /* its id */
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Do fi=1 To 1000; /* actually Forever */
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fid=father(node); /* id of father */
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If fid>0 Then Do; /* father exists */
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fidz=zeile(fid); /* line that contains the father */
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code=m(fidz).digit!!code; /* prepend the digit */
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node=fid; /* look for next father */
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End;
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Else /* no father (we reached the top */
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Leave;
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End;
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If length(code)>1 Then /* more than one character in input */
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code=substr(code,2); /* remove the the top node's 0 */
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call dbg(m(i).c!!' -> '!!code); /* character is encoded this way*/
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ti_loop:
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Do ti=1 To t_n;
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If t(ti).char>m(i).c Then Do;
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Do tj=t_n To ti By -1
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t(tj+1)=t(tj);
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End;
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Leave ti_loop;
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End;
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End;
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t(ti).char=m(i).c;
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t(ti).code=code;
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t_n+=1;
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Call dbg(t(ti).char!!' -> '!!t(ti).code);
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End;
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End;
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End;
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zeile: Proc(nid) Returns(Bin Fixed(15));
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/*--------------------------------------------------------------------
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* find and return line number containing node-id
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*-------------------------------------------------------------------*/
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Dcl (nid,i) Bin Fixed(15);
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do i=1 To m_n;
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If m(i).id=nid Then
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Return(i);
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End;
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Stop;
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End;
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dbg: Proc(txt);
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/*--------------------------------------------------------------------
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* Show text if debug is enabled
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*-------------------------------------------------------------------*/
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Dcl txt Char(*);
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If debug Then
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Put Skip List(txt);
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End;
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encode: Proc;
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/*--------------------------------------------------------------------
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* encode the string s -> sc
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*-------------------------------------------------------------------*/
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Dcl (i,j) Bin Fixed(15);
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Do i=1 To length(s);
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c=substr(s,i,1);
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Do j=1 To t_n;
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If c=t(j).char Then
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Leave;
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End;
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sc=sc!!t(j).code;
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End;
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End;
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decode: Proc;
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/*--------------------------------------------------------------------
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* decode the string sc -> sr
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*-------------------------------------------------------------------*/
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Dcl (i,j) Bin Fixed(15);
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Do While(sc>'');
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Do j=1 To t_n;
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If substr(sc,1,length(t(j).code))=t(j).code Then
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Leave;
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End;
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sr=sr!!t(j).char;
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sc=substr(sc,length(t(j).code)+1);
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End;
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End;
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End;
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