2009-02-16 12:23:29 +00:00
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/*
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LPAD and CP-Logic interpreter
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Copyright (c) 2007, Fabrizio Riguzzi
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This package uses the library cudd, see http://vlsi.colorado.edu/~fabio/CUDD/
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for the relative license.
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This file contains the definition of Prob and ProbBool plus the functions
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for building the BDD
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*/
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#include "cplint.h"
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#include <stdlib.h>
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int correctPosition(int index,variable v, DdNode * node,int posBVar);
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2010-07-27 15:53:47 +01:00
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DdNode * retFunction(DdManager * mgr,expr expression, variables v)
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2009-02-16 12:23:29 +00:00
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/* given an expression term1+term2+...+termn, returns the BDD that implements that function */
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{
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2010-07-27 15:53:47 +01:00
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term term1;
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2009-02-16 12:23:29 +00:00
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DdNode * tNode, * tmp, *tmp1;
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int i;
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i=0;
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tNode=Cudd_ReadLogicZero(mgr);
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Cudd_Ref(tNode);
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2010-07-27 15:53:47 +01:00
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while(i<expression.nTerms)
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2009-02-16 12:23:29 +00:00
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{
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2010-07-27 15:53:47 +01:00
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term1=expression.terms[i];
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tmp=retTerm(mgr,term1,v);
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2009-02-16 12:23:29 +00:00
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Cudd_Ref(tmp);
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tmp1=Cudd_bddOr(mgr,tNode,tmp);
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Cudd_Ref(tmp1);
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Cudd_RecursiveDeref(mgr,tNode);
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tNode=tmp1;
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i++;
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}
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return tNode;
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}
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2010-07-27 15:53:47 +01:00
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DdNode * retTerm(DdManager * mgr,term t, variables v)
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2009-02-16 12:23:29 +00:00
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/* given a term V1=v1 and V2=v2 ... Vn=vn, returns the BDD that implements that function */
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{
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factor f;
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DdNode * fNode, * tmp, *tmp1;
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int i;
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i=0;
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fNode=Cudd_ReadOne(mgr);
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Cudd_Ref(fNode);
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2010-07-27 15:53:47 +01:00
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while (i<t.nFact)
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2009-02-16 12:23:29 +00:00
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{
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2010-07-27 15:53:47 +01:00
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f=t.factors[i];
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2009-02-16 12:23:29 +00:00
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tmp=retFactor(mgr,f,v);
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Cudd_Ref(tmp);
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tmp1= Cudd_bddAnd(mgr,fNode,tmp);
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Cudd_Ref(tmp1);
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Cudd_RecursiveDeref(mgr,fNode);
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fNode=tmp1;
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i++;
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}
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return fNode;
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}
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2010-07-27 15:53:47 +01:00
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DdNode * retFactor(DdManager * mgr, factor f, variables vars)
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2009-02-16 12:23:29 +00:00
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/* given a factor V=v, returns the BDD that implements that function */
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{
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int varIndex;
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int value;
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int i;
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int bit;
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variable v;
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DdNode * node, *booleanVar, * tmp;
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DdNode ** booleanVars;
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2009-02-16 12:23:29 +00:00
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varIndex=f.var;
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value=f.value;
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2010-07-27 15:53:47 +01:00
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v=vars.varar[varIndex];
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2009-02-16 12:23:29 +00:00
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booleanVars=v.booleanVars;
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i=v.nBit-1;
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node=Cudd_ReadOne(mgr);
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Cudd_Ref(node);
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/* booelan var with index 0 in v.booleanVars is the most significant */
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do {
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booleanVar=booleanVars[i];
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2009-02-16 12:23:29 +00:00
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bit=value & 01;
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if (bit)
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{
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tmp=Cudd_bddAnd(mgr,node,booleanVar);
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Cudd_Ref(tmp);
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}
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else
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{
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tmp=Cudd_bddAnd(mgr,node,Cudd_Not(booleanVar));
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Cudd_Ref(tmp);
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}
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value=value>>1;
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i--;
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Cudd_RecursiveDeref(mgr,node);
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node=tmp;
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} while (i>=0);
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return node;
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}
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2010-07-27 15:53:47 +01:00
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double Prob(DdNode *node, variables vars, GHashTable * nodes)
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2009-02-16 12:23:29 +00:00
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/* compute the probability of the expression rooted at node
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nodes is used to store nodes for which the probability has alread been computed
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so that it is not recomputed
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*/
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{
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int index,mVarIndex,nBit;
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variable v;
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double res;
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double value;
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double * value_p;
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DdNode **key;
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double *rp;
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index=node->index;
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if (Cudd_IsConstant(node))
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{
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value=node->type.value;
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2010-07-27 15:53:47 +01:00
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return value;
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2009-02-16 12:23:29 +00:00
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}
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else
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{
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value_p=g_hash_table_lookup(nodes,&node);
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if (value_p!=NULL)
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{
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return *value_p;
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}
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else
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{
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2010-07-27 15:53:47 +01:00
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mVarIndex=vars.bVar2mVar[index];
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v=vars.varar[mVarIndex];
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nBit=v.nBit;
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res=ProbBool(node,0,nBit,0,v,vars,nodes);
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key=(DdNode **)malloc(sizeof(DdNode *));
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*key=node;
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rp=(double *)malloc(sizeof(double));
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*rp=res;
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g_hash_table_insert(nodes, key, rp);
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return res;
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}
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}
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}
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double ProbBool(DdNode *node, int bits, int nBit,int posBVar,variable v,
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variables vars, GHashTable * nodes)
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/* explores a group of binary variables making up the multivalued variable v */
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{
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DdNode *T,*F;
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double p,res;
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2010-07-27 15:53:47 +01:00
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double * probs;
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2009-02-16 12:23:29 +00:00
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probs=v.probabilities;
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if (nBit==0)
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{
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if (bits>=v.nVal)
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return 0;
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else
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{
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p=probs[bits];
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res=p*Prob(node,vars,nodes);
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return res;
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}
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}
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else
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{
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if (correctPosition(node->index,v,node,posBVar))
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{
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T = node->type.kids.T;
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F = node->type.kids.E;
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bits=bits<<1;
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2010-07-27 15:53:47 +01:00
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res=ProbBool(T,bits+1,nBit-1,posBVar+1,v,vars,nodes)+
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ProbBool(F,bits,nBit-1,posBVar+1,v,vars,nodes);
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2009-02-16 12:23:29 +00:00
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return res;
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}
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else
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{
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bits=bits<<1;
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2010-07-27 15:53:47 +01:00
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res=ProbBool(node,bits+1,nBit-1,posBVar+1,v,vars,nodes)+
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ProbBool(node,bits,nBit-1,posBVar+1,v,vars,nodes);
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2009-02-16 12:23:29 +00:00
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return res;
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}
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}
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}
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int correctPosition(int index,variable v, DdNode * node,int posBVar)
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/* returns 1 is the boolean variable with index posBVar is in the correct position
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currently explored by ProbBool */
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{
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DdNode * bvar;
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2010-07-27 15:53:47 +01:00
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bvar=v.booleanVars[posBVar];
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return bvar->index==index;
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}
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