-/* Copyright (c) 2015 Regents of the University of California
- *
- * Author: Brian Demsky <bdemsky@uci.edu>
- *
- * This program is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * version 2 as published by the Free Software Foundation.
- */
-
#include "constraint.h"
-#include "mymemory.h"
+#include <string.h>
+#include <stdlib.h>
#include "inc_solver.h"
+#include "cnfexpr.h"
-Constraint ctrue={TRUE, 0xffffffff, NULL, NULL};
-Constraint cfalse={FALSE, 0xffffffff, NULL, NULL};
-
-Constraint * allocConstraint(CType t, Constraint *l, Constraint *r) {
- Constraint *this=(Constraint *) ourmalloc(sizeof(Constraint));
- this->type=t;
- this->numoperandsorvar=2;
- this->operands=(Constraint **)ourmalloc(2*sizeof(Constraint *));
- this->neg=NULL;
- ASSERT(l!=NULL);
- //if (type==IMPLIES) {
- //type=OR;
- // operands[0]=l->negate();
- // } else {
- this->operands[0]=l;
- // }
- this->operands[1]=r;
- return this;
-}
-
-Constraint * allocUnaryConstraint(CType t, Constraint *l) {
- Constraint *this=(Constraint *) ourmalloc(sizeof(Constraint));
- this->type=t;
- this->numoperandsorvar=1;
- this->operands=(Constraint **) ourmalloc(sizeof(Constraint *));
- this->neg=NULL;
- this->operands[0]=l;
- return this;
-}
-
-Constraint * allocArrayConstraint(CType t, uint num, Constraint **array) {
- Constraint *this=(Constraint *) ourmalloc(sizeof(Constraint));
- this->type=t;
- this->numoperandsorvar=num;
- this->operands=(Constraint **) ourmalloc(num*sizeof(Constraint *));
- this->neg=NULL;
- memcpy(this->operands, array, num*sizeof(Constraint *));
- return this;
-}
-
-Constraint * allocVarConstraint(CType t, uint v) {
- Constraint *this=(Constraint *) ourmalloc(sizeof(Constraint));
- this->type=t;
- this->numoperandsorvar=v;
- this->operands=NULL;
- this->neg=NULL;
- return this;
-}
-
-void deleteConstraint(Constraint *this) {
- if (this->operands!=NULL)
- ourfree(this->operands);
-}
-
-void dumpConstraint(Constraint * this, IncrementalSolver *solver) {
- if (this->type==VAR) {
- addClauseLiteral(solver, this->numoperandsorvar);
- addClauseLiteral(solver, 0);
- } else if (this->type==NOTVAR) {
- addClauseLiteral(solver, -this->numoperandsorvar);
- addClauseLiteral(solver, 0);
- } else {
- ASSERT(this->type==OR);
- for(uint i=0;i<this->numoperandsorvar;i++) {
- Constraint *c=this->operands[i];
- if (c->type==VAR) {
- addClauseLiteral(solver, c->numoperandsorvar);
- } else if (c->type==NOTVAR) {
- addClauseLiteral(solver, -c->numoperandsorvar);
- } else ASSERT(0);
- }
- addClauseLiteral(solver, 0);
+/*
+V2 Copyright (c) 2014 Ben Chambers, Eugene Goldberg, Pete Manolios,
+Vasilis Papavasileiou, Sudarshan Srinivasan, and Daron Vroon.
+
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to
+permit persons to whom the Software is furnished to do so, subject to
+the following conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software. If
+you download or use the software, send email to Pete Manolios
+(pete@ccs.neu.edu) with your name, contact information, and a short
+note describing what you want to use BAT for. For any reuse or
+distribution, you must make clear to others the license terms of this
+work.
+
+Contact Pete Manolios if you want any of these conditions waived.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
+LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
+WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+*/
+
+/*
+C port of CNF SAT Conversion Copyright Brian Demsky 2017.
+*/
+
+
+VectorImpl(Edge, Edge, 16)
+Edge E_True={(Node *)(uintptr_t) EDGE_IS_VAR_CONSTANT};
+Edge E_False={(Node *)(uintptr_t) (EDGE_IS_VAR_CONSTANT | NEGATE_EDGE)};
+Edge E_BOGUS={(Node *)0x12345673};
+Edge E_NULL={(Node *)NULL};
+
+
+CNF * createCNF() {
+ CNF * cnf=ourmalloc(sizeof(CNF));
+ cnf->varcount=1;
+ cnf->capacity=DEFAULT_CNF_ARRAY_SIZE;
+ cnf->mask=cnf->capacity-1;
+ cnf->node_array=ourcalloc(1, sizeof(Node *)*cnf->capacity);
+ cnf->size=0;
+ cnf->maxsize=(uint)(((double)cnf->capacity)*LOAD_FACTOR);
+ cnf->enableMatching=true;
+ initDefVectorEdge(& cnf->constraints);
+ initDefVectorEdge(& cnf->args);
+ cnf->solver=allocIncrementalSolver();
+ return cnf;
+}
+
+void deleteCNF(CNF * cnf) {
+ for(uint i=0;i<cnf->capacity;i++) {
+ Node *n=cnf->node_array[i];
+ if (n!=NULL)
+ ourfree(n);
}
+ deleteVectorArrayEdge(& cnf->constraints);
+ deleteVectorArrayEdge(& cnf->args);
+ deleteIncrementalSolver(cnf->solver);
+ ourfree(cnf->node_array);
+ ourfree(cnf);
}
-void internalfreeConstraint(Constraint * this) {
- switch(this->type) {
- case TRUE:
- case FALSE:
- case NOTVAR:
- case VAR:
- return;
- case BOGUS:
- ASSERT(0);
- default:
- this->type=BOGUS;
- ourfree(this);
+void resizeCNF(CNF *cnf, uint newCapacity) {
+ Node **old_array=cnf->node_array;
+ Node **new_array=ourcalloc(1, sizeof(Node *)*newCapacity);
+ uint oldCapacity=cnf->capacity;
+ uint newMask=newCapacity-1;
+ for(uint i=0;i<oldCapacity;i++) {
+ Node *n=old_array[i];
+ uint hashCode=n->hashCode;
+ uint newindex=hashCode & newMask;
+ for(;;newindex=(newindex+1) & newMask) {
+ if (new_array[newindex] == NULL) {
+ new_array[newindex]=n;
+ break;
+ }
+ }
}
+ ourfree(old_array);
+ cnf->node_array=new_array;
+ cnf->capacity=newCapacity;
+ cnf->maxsize=(uint)(((double)cnf->capacity)*LOAD_FACTOR);
+ cnf->mask=newMask;
}
-void freerecConstraint(Constraint *this) {
- switch(this->type) {
- case TRUE:
- case FALSE:
- case NOTVAR:
- case VAR:
- return;
- case BOGUS:
- ASSERT(0);
- default:
- if (this->operands!=NULL) {
- for(uint i=0;i<this->numoperandsorvar;i++)
- freerecConstraint(this->operands[i]);
+Node * allocNode(NodeType type, uint numEdges, Edge * edges, uint hashcode) {
+ Node *n=(Node *)ourmalloc(sizeof(Node)+sizeof(Edge)*numEdges);
+ memcpy(n->edges, edges, sizeof(Edge)*numEdges);
+ n->flags.type=type;
+ n->flags.wasExpanded=0;
+ n->flags.cnfVisitedDown=0;
+ n->flags.cnfVisitedUp=0;
+ n->flags.varForced=0;
+ n->numEdges=numEdges;
+ n->hashCode=hashcode;
+ n->intAnnot[0]=0;n->intAnnot[1]=0;
+ n->ptrAnnot[0]=NULL;n->ptrAnnot[1]=NULL;
+ return n;
+}
+
+Edge createNode(CNF *cnf, NodeType type, uint numEdges, Edge * edges) {
+ if (cnf->size > cnf->maxsize) {
+ resizeCNF(cnf, cnf->capacity << 1);
+ }
+ uint hashvalue=hashNode(type, numEdges, edges);
+ uint mask=cnf->mask;
+ uint index=hashvalue & mask;
+ Node **n_ptr;
+ for(;;index=(index+1)&mask) {
+ n_ptr=&cnf->node_array[index];
+ if (*n_ptr!=NULL) {
+ if ((*n_ptr)->hashCode==hashvalue) {
+ if (compareNodes(*n_ptr, type, numEdges, edges)) {
+ Edge e={*n_ptr};
+ return e;
+ }
+ }
+ } else {
+ break;
}
- this->type=BOGUS;
- deleteConstraint(this);
}
+ *n_ptr=allocNode(type, numEdges, edges, hashvalue);
+ Edge e={*n_ptr};
+ return e;
}
+uint hashNode(NodeType type, uint numEdges, Edge * edges) {
+ uint hashvalue=type ^ numEdges;
+ for(uint i=0;i<numEdges;i++) {
+ hashvalue ^= (uint) ((uintptr_t) edges[i].node_ptr);
+ hashvalue = (hashvalue << 3) | (hashvalue >> 29); //rotate left by 3 bits
+ }
+ return (uint) hashvalue;
+}
-void printConstraint(Constraint * this) {
- switch(this->type) {
- case TRUE:
- model_print("true");
- break;
- case FALSE:
- model_print("false");
- break;
- case IMPLIES:
- model_print("(");
- printConstraint(this->operands[0]);
- model_print(")");
- model_print("=>");
- model_print("(");
- printConstraint(this->operands[1]);
- model_print(")");
- break;
- case AND:
- case OR:
- model_print("(");
- for(uint i=0;i<this->numoperandsorvar;i++) {
- if (i!=0) {
- if (this->type==AND)
- model_print(" ^ ");
- else
- model_print(" v ");
+bool compareNodes(Node * node, NodeType type, uint numEdges, Edge *edges) {
+ if (node->flags.type!=type || node->numEdges != numEdges)
+ return false;
+ Edge *nodeedges=node->edges;
+ for(uint i=0;i<numEdges;i++) {
+ if (!equalsEdge(nodeedges[i], edges[i]))
+ return false;
+ }
+ return true;
+}
+
+Edge constraintOR(CNF * cnf, uint numEdges, Edge *edges) {
+ Edge edgearray[numEdges];
+
+ for(uint i=0; i<numEdges; i++) {
+ edgearray[i]=constraintNegate(edges[i]);
+ }
+ Edge eand=constraintAND(cnf, numEdges, edgearray);
+ return constraintNegate(eand);
+}
+
+Edge constraintOR2(CNF * cnf, Edge left, Edge right) {
+ Edge lneg=constraintNegate(left);
+ Edge rneg=constraintNegate(right);
+ Edge eand=constraintAND2(cnf, lneg, rneg);
+ return constraintNegate(eand);
+}
+
+int comparefunction(const Edge * e1, const Edge * e2) {
+ return ((uintptr_t)e1->node_ptr)-((uintptr_t)e2->node_ptr);
+}
+
+Edge constraintAND(CNF * cnf, uint numEdges, Edge * edges) {
+ qsort(edges, numEdges, sizeof(Edge), (int (*)(const void *, const void *)) comparefunction);
+ int initindex=0;
+ while(initindex<numEdges && equalsEdge(edges[initindex], E_True))
+ initindex++;
+
+ uint remainSize=numEdges-initindex;
+
+ if (remainSize == 0)
+ return E_True;
+ else if (remainSize == 1)
+ return edges[initindex];
+ else if (equalsEdge(edges[initindex], E_False))
+ return E_False;
+
+ /** De-duplicate array */
+ uint lowindex=0;
+ edges[lowindex]=edges[initindex++];
+
+ for(;initindex<numEdges;initindex++) {
+ Edge e1=edges[lowindex];
+ Edge e2=edges[initindex];
+ if (sameNodeVarEdge(e1, e2)) {
+ if (!sameSignEdge(e1, e2)) {
+ return E_False;
}
- printConstraint(this->operands[i]);
+ } else
+ edges[++lowindex]=edges[initindex];
+ }
+ lowindex++; //Make lowindex look like size
+
+ if (lowindex==1)
+ return edges[0];
+
+ if (cnf->enableMatching && lowindex==2 &&
+ isNegNodeEdge(edges[0]) && isNegNodeEdge(edges[1]) &&
+ getNodeType(edges[0]) == NodeType_AND &&
+ getNodeType(edges[1]) == NodeType_AND &&
+ getNodeSize(edges[0]) == 2 &&
+ getNodeSize(edges[1]) == 2) {
+ Edge * e0edges=getEdgeArray(edges[0]);
+ Edge * e1edges=getEdgeArray(edges[1]);
+ if (sameNodeOppSign(e0edges[0], e1edges[0])) {
+ return constraintNegate(constraintITE(cnf, e0edges[0], e0edges[1], e1edges[1]));
+ } else if (sameNodeOppSign(e0edges[0], e1edges[1])) {
+ return constraintNegate(constraintITE(cnf, e0edges[0], e0edges[1], e1edges[0]));
+ } else if (sameNodeOppSign(e0edges[1], e1edges[0])) {
+ return constraintNegate(constraintITE(cnf, e0edges[1], e0edges[0], e1edges[1]));
+ } else if (sameNodeOppSign(e0edges[1], e1edges[1])) {
+ return constraintNegate(constraintITE(cnf, e0edges[1], e0edges[0], e1edges[0]));
}
- model_print(")");
- break;
- case VAR:
- model_print("t%u",this->numoperandsorvar);
- break;
- case NOTVAR:
- model_print("!t%u",this->numoperandsorvar);
- break;
- default:
- ASSERT(0);
- }
-}
-
-Constraint * cloneConstraint(Constraint * this) {
- switch(this->type) {
- case TRUE:
- case FALSE:
- case VAR:
- case NOTVAR:
- return this;
- case IMPLIES:
- return allocConstraint(IMPLIES, cloneConstraint(this->operands[0]), cloneConstraint(this->operands[1]));
- case AND:
- case OR: {
- Constraint *array[this->numoperandsorvar];
- for(uint i=0;i<this->numoperandsorvar;i++) {
- array[i]=cloneConstraint(this->operands[i]);
+ }
+
+ return createNode(cnf, NodeType_AND, lowindex, edges);
+}
+
+Edge constraintAND2(CNF * cnf, Edge left, Edge right) {
+ Edge edges[2]={left, right};
+ return constraintAND(cnf, 2, edges);
+}
+
+Edge constraintIMPLIES(CNF * cnf, Edge left, Edge right) {
+ Edge array[2];
+ array[0]=left;
+ array[1]=constraintNegate(right);
+ Edge eand=constraintAND(cnf, 2, array);
+ return constraintNegate(eand);
+}
+
+Edge constraintIFF(CNF * cnf, Edge left, Edge right) {
+ bool negate=!sameSignEdge(left, right);
+ Edge lpos=getNonNeg(left);
+ Edge rpos=getNonNeg(right);
+
+ Edge e;
+ if (equalsEdge(lpos, rpos)) {
+ e=E_True;
+ } else if (ltEdge(lpos, rpos)) {
+ Edge edges[]={lpos, rpos};
+ e=(edgeIsConst(lpos)) ? rpos : createNode(cnf, NodeType_IFF, 2, edges);
+ } else {
+ Edge edges[]={rpos, lpos};
+ e=(edgeIsConst(rpos)) ? lpos : createNode(cnf, NodeType_IFF, 2, edges);
+ }
+ if (negate)
+ e=constraintNegate(e);
+ return e;
+}
+
+Edge constraintITE(CNF * cnf, Edge cond, Edge thenedge, Edge elseedge) {
+ if (isNegEdge(cond)) {
+ cond=constraintNegate(cond);
+ Edge tmp=thenedge;
+ thenedge=elseedge;
+ elseedge=tmp;
+ }
+
+ bool negate = isNegEdge(thenedge);
+ if (negate) {
+ thenedge=constraintNegate(thenedge);
+ elseedge=constraintNegate(elseedge);
+ }
+
+ Edge result;
+ if (equalsEdge(cond, E_True)) {
+ result=thenedge;
+ } else if (equalsEdge(thenedge, E_True) || equalsEdge(cond, thenedge)) {
+ result=constraintOR(cnf, 2, (Edge[]) {cond, elseedge});
+ } else if (equalsEdge(elseedge, E_True) || sameNodeOppSign(cond, elseedge)) {
+ result=constraintIMPLIES(cnf, cond, thenedge);
+ } else if (equalsEdge(thenedge, E_False) || equalsEdge(cond, elseedge)) {
+ result=constraintAND(cnf, 2, (Edge[]) {cond, thenedge});
+ } else if (equalsEdge(thenedge, elseedge)) {
+ result=thenedge;
+ } else if (sameNodeOppSign(thenedge, elseedge)) {
+ if (ltEdge(cond, thenedge)) {
+ result=createNode(cnf, NodeType_IFF, 2, (Edge[]) {cond, thenedge});
+ } else {
+ result=createNode(cnf, NodeType_IFF, 2, (Edge[]) {thenedge, cond});
}
- return allocArrayConstraint(this->type, this->numoperandsorvar, array);
+ } else {
+ Edge edges[]={cond, thenedge, elseedge};
+ result=createNode(cnf, NodeType_ITE, 3, edges);
}
- default:
- ASSERT(0);
- return NULL;
+ if (negate)
+ result=constraintNegate(result);
+ return result;
+}
+
+void addConstraintCNF(CNF *cnf, Edge constraint) {
+ pushVectorEdge(&cnf->constraints, constraint);
+}
+
+Edge constraintNewVar(CNF *cnf) {
+ uint varnum=cnf->varcount++;
+ Edge e={(Node *) ((((uintptr_t)varnum) << VAR_SHIFT) | EDGE_IS_VAR_CONSTANT) };
+ return e;
+}
+
+int solveCNF(CNF *cnf) {
+ countPass(cnf);
+ convertPass(cnf, false);
+ finishedClauses(cnf->solver);
+ return solve(cnf->solver);
+}
+
+bool getValueCNF(CNF *cnf, Edge var) {
+ Literal l=getEdgeVar(var);
+ bool isneg=(l<0);
+ l=abs(l);
+ return isneg ^ getValueSolver(cnf->solver, l);
+}
+
+void countPass(CNF *cnf) {
+ uint numConstraints=getSizeVectorEdge(&cnf->constraints);
+ VectorEdge *ve=allocDefVectorEdge();
+ for(uint i=0; i<numConstraints;i++) {
+ countConstraint(cnf, ve, getVectorEdge(&cnf->constraints, i));
}
+ deleteVectorEdge(ve);
}
-Constraint * generateConstraint(uint numvars, Constraint ** vars, uint value) {
- Constraint *carray[numvars];
- for(uint j=0;j<numvars;j++) {
- carray[j]=((value&1)==1) ? vars[j] : negateConstraint(vars[j]);
- value=value>>1;
+void countConstraint(CNF *cnf, VectorEdge *stack, Edge eroot) {
+ //Skip constants and variables...
+ if (edgeIsVarConst(eroot))
+ return;
+
+ clearVectorEdge(stack);pushVectorEdge(stack, eroot);
+
+ bool isMatching=cnf->enableMatching;
+
+ while(getSizeVectorEdge(stack) != 0) {
+ Edge e=lastVectorEdge(stack); popVectorEdge(stack);
+ bool polarity=isNegEdge(e);
+ Node *n=getNodePtrFromEdge(e);
+ if (getExpanded(n, polarity)) {
+ if (n->flags.type == NodeType_IFF ||
+ n->flags.type == NodeType_ITE) {
+ Edge pExp={n->ptrAnnot[polarity]};
+ getNodePtrFromEdge(pExp)->intAnnot[0]++;
+ } else {
+ n->intAnnot[polarity]++;
+ }
+ } else {
+ setExpanded(n, polarity);
+
+ if (n->flags.type == NodeType_ITE||
+ n->flags.type == NodeType_IFF) {
+ n->intAnnot[polarity]=0;
+ Edge cond=n->edges[0];
+ Edge thenedge=n->edges[1];
+ Edge elseedge=n->flags.type == NodeType_IFF? constraintNegate(thenedge): n->edges[2];
+ thenedge=constraintNegateIf(thenedge, !polarity);
+ elseedge=constraintNegateIf(elseedge, !polarity);
+ thenedge=constraintAND2(cnf, cond, thenedge);
+ cond=constraintNegate(cond);
+ elseedge=constraintAND2(cnf, cond, elseedge);
+ thenedge=constraintNegate(thenedge);
+ elseedge=constraintNegate(elseedge);
+ cnf->enableMatching=false;
+ Edge succ1=constraintAND2(cnf, thenedge, elseedge);
+ n->ptrAnnot[polarity]=succ1.node_ptr;
+ cnf->enableMatching=isMatching;
+ pushVectorEdge(stack, succ1);
+ if (getExpanded(n, !polarity)) {
+ Edge succ2={(Node *)n->ptrAnnot[!polarity]};
+ Node *n1=getNodePtrFromEdge(succ1);
+ Node *n2=getNodePtrFromEdge(succ2);
+ n1->ptrAnnot[0]=succ2.node_ptr;
+ n2->ptrAnnot[0]=succ1.node_ptr;
+ n1->ptrAnnot[1]=succ2.node_ptr;
+ n2->ptrAnnot[1]=succ1.node_ptr;
+ }
+ } else {
+ n->intAnnot[polarity]=1;
+ for (uint i=0;i<n->numEdges;i++) {
+ Edge succ=n->edges[i];
+ if(!edgeIsVarConst(succ)) {
+ succ=constraintNegateIf(succ, polarity);
+ pushVectorEdge(stack, succ);
+ }
+ }
+ }
+ }
}
+}
- return allocArrayConstraint(AND, numvars, carray);
+void convertPass(CNF *cnf, bool backtrackLit) {
+ uint numConstraints=getSizeVectorEdge(&cnf->constraints);
+ VectorEdge *ve=allocDefVectorEdge();
+ for(uint i=0; i<numConstraints;i++) {
+ convertConstraint(cnf, ve, getVectorEdge(&cnf->constraints, i), backtrackLit);
+ }
+ deleteVectorEdge(ve);
}
-/** Generates a constraint to ensure that all encodings are less than value */
-Constraint * generateLTConstraint(uint numvars, Constraint ** vars, uint value) {
- Constraint *orarray[numvars];
- Constraint *andarray[numvars];
- uint andi=0;
+void convertConstraint(CNF *cnf, VectorEdge *stack, Edge root, bool backtrackLit) {
+ Node *nroot=getNodePtrFromEdge(root);
+
+ if (isNodeEdge(root) && (nroot->flags.type == NodeType_ITE || nroot->flags.type == NodeType_IFF)) {
+ root = (Edge) { (Node *) nroot->ptrAnnot[isNegEdge(root)]};
+ }
+
+ if (edgeIsConst(root)) {
+ if (isNegEdge(root)) {
+ //trivally unsat
+ Edge newvar=constraintNewVar(cnf);
+ Literal var=getEdgeVar(newvar);
+ Literal clause[] = {var};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ clause[0]=-var;
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ return;
+ } else {
+ //trivially true
+ return;
+ }
+ } else if (edgeIsVarConst(root)) {
+ Literal clause[] = { getEdgeVar(root)};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ return;
+ }
+
+ clearVectorEdge(stack);pushVectorEdge(stack, root);
+ while(getSizeVectorEdge(stack)!=0) {
+ Edge e=lastVectorEdge(stack);
+ Node *n=getNodePtrFromEdge(e);
- while(true) {
- uint val=value;
- uint ori=0;
- for(uint j=0;j<numvars;j++) {
- if ((val&1)==1)
- orarray[ori++]=negateConstraint(vars[j]);
- val=val>>1;
+ if (edgeIsVarConst(e)) {
+ popVectorEdge(stack);
+ continue;
+ } else if (n->flags.type==NodeType_ITE ||
+ n->flags.type==NodeType_IFF) {
+ popVectorEdge(stack);
+ if (n->ptrAnnot[0]!=NULL)
+ pushVectorEdge(stack, (Edge) {(Node *)n->ptrAnnot[0]});
+ if (n->ptrAnnot[1]!=NULL)
+ pushVectorEdge(stack, (Edge) {(Node *)n->ptrAnnot[1]});
+ continue;
}
- //no ones to flip, so bail now...
- if (ori==0) {
- return allocArrayConstraint(AND, andi, andarray);
+
+ bool needPos = (n->intAnnot[0] > 0);
+ bool needNeg = (n->intAnnot[1] > 0);
+ if ((!needPos || n->flags.cnfVisitedUp & 1) &&
+ (!needNeg || n->flags.cnfVisitedUp & 2)) {
+ popVectorEdge(stack);
+ } else if ((needPos && !(n->flags.cnfVisitedDown & 1)) ||
+ (needNeg && !(n->flags.cnfVisitedDown & 2))) {
+ if (needPos)
+ n->flags.cnfVisitedDown|=1;
+ if (needNeg)
+ n->flags.cnfVisitedDown|=2;
+ for(uint i=0; i<n->numEdges; i++) {
+ Edge arg=n->edges[i];
+ arg=constraintNegateIf(arg, isNegEdge(e));
+ pushVectorEdge(stack, arg); //WARNING, THIS LOOKS LIKE A BUG IN THE ORIGINAL CODE
+ }
+ } else {
+ popVectorEdge(stack);
+ produceCNF(cnf, e);
}
- andarray[andi++]=allocArrayConstraint(OR, ori, orarray);
+ }
+ CNFExpr * cnfExp = (CNFExpr *) nroot->ptrAnnot[isNegEdge(root)];
+ if (isProxy(cnfExp)) {
+ Literal l=getProxy(cnfExp);
+ Literal clause[] = {l};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ } else if (backtrackLit) {
+ Literal l=introProxy(cnf, root, cnfExp, isNegEdge(root));
+ Literal clause[] = {l};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ } else {
+ outputCNF(cnf, cnfExp);
+ }
- value=value+(1<<(__builtin_ctz(value)));
- //flip the last one
+ if (!((intptr_t) cnfExp & 1)) {
+ deleteCNFExpr(cnfExp);
+ nroot->ptrAnnot[isNegEdge(root)] = NULL;
}
}
-Constraint * generateEquivNVConstraint(uint numvars, Constraint **var1, Constraint **var2) {
- if (numvars==0)
- return &ctrue;
- Constraint *array[numvars*2];
- for(uint i=0;i<numvars;i++) {
- array[i*2]=allocConstraint(OR, negateConstraint(cloneConstraint(var1[i])), var2[i]);
- array[i*2+1]=allocConstraint(OR, var1[i], negateConstraint(cloneConstraint(var2[i])));
+
+Literal introProxy(CNF * cnf, Edge e, CNFExpr* exp, bool isNeg) {
+ Literal l = 0;
+ Node * n = getNodePtrFromEdge(e);
+
+ if (n->flags.cnfVisitedUp & (1<<!isNeg)) {
+ CNFExpr* otherExp = (CNFExpr*) n->ptrAnnot[!isNeg];
+ if (isProxy(otherExp))
+ l = -getProxy(otherExp);
+ } else {
+ Edge semNeg={(Node *) n->ptrAnnot[isNeg]};
+ Node * nsemNeg=getNodePtrFromEdge(semNeg);
+ if (nsemNeg != NULL) {
+ if (nsemNeg->flags.cnfVisitedUp & (1 << isNeg)) {
+ CNFExpr* otherExp = (CNFExpr*) nsemNeg->ptrAnnot[isNeg];
+ if (isProxy(otherExp))
+ l = -getProxy(otherExp);
+ } else if (nsemNeg->flags.cnfVisitedUp & (1<< !isNeg)) {
+ CNFExpr* otherExp = (CNFExpr*) nsemNeg->ptrAnnot[!isNeg];
+ if (isProxy(otherExp))
+ l = getProxy(otherExp);
+ }
+ }
+ }
+
+ if (l == 0) {
+ Edge newvar = constraintNewVar(cnf);
+ l = getEdgeVar(newvar);
}
- return allocArrayConstraint(AND, numvars*2, array);
+ // Output the constraints on the auxiliary variable
+ constrainCNF(cnf, l, exp);
+ deleteCNFExpr(exp);
+
+ n->ptrAnnot[isNeg] = (void*) ((intptr_t) (l << 1) | 1);
+
+ return l;
}
-Constraint * generateEquivConstraint(Constraint *var1, Constraint *var2) {
- Constraint * imp1=allocConstraint(OR, negateConstraint(cloneConstraint(var1)), var2);
- Constraint * imp2=allocConstraint(OR, var1, negateConstraint(cloneConstraint(var2)));
+void produceCNF(CNF * cnf, Edge e) {
+ CNFExpr* expPos = NULL;
+ CNFExpr* expNeg = NULL;
+ Node *n = getNodePtrFromEdge(e);
+
+ if (n->intAnnot[0] > 0) {
+ expPos = produceConjunction(cnf, e);
+ }
+
+ if (n->intAnnot[1] > 0) {
+ expNeg = produceDisjunction(cnf, e);
+ }
- return allocConstraint(AND, imp1, imp2);
+ /// @todo Propagate constants across semantic negations (this can
+ /// be done similarly to the calls to propagate shown below). The
+ /// trick here is that we need to figure out how to get the
+ /// semantic negation pointers, and ensure that they can have CNF
+ /// produced for them at the right point
+ ///
+ /// propagate(solver, expPos, snPos, false) || propagate(solver, expNeg, snNeg, false)
+
+ // propagate from positive to negative, negative to positive
+ if (!propagate(cnf, & expPos, expNeg, true))
+ propagate(cnf, & expNeg, expPos, true);
+
+ // The polarity heuristic entails visiting the discovery polarity first
+ if (isPosEdge(e)) {
+ saveCNF(cnf, expPos, e, false);
+ saveCNF(cnf, expNeg, e, true);
+ } else {
+ saveCNF(cnf, expNeg, e, true);
+ saveCNF(cnf, expPos, e, false);
+ }
}
-bool mergeandfree(VectorConstraint * to, VectorConstraint * from) {
- for(uint i=0;i<getSizeVectorConstraint(from);i++) {
- Constraint *c=getVectorConstraint(from, i);
- if (c->type==TRUE)
- continue;
- if (c->type==FALSE) {
- for(uint j=i+1;j<getSizeVectorConstraint(from);j++)
- freerecConstraint(getVectorConstraint(from,j));
- for(uint j=0;j<getSizeVectorConstraint(to);j++)
- freerecConstraint(getVectorConstraint(to, j));
- clearVectorConstraint(to);
- pushVectorConstraint(to, &ctrue);
- deleteVectorConstraint(from);
- return true;
+bool propagate(CNF *cnf, CNFExpr ** dest, CNFExpr * src, bool negate) {
+ if (src != NULL && !isProxy(src) && getLitSizeCNF(src) == 0) {
+ if (*dest == NULL) {
+ *dest = allocCNFExprBool(negate ? alwaysFalseCNF(src) : alwaysTrueCNF(src));
+ } else if (isProxy(*dest)) {
+ bool alwaysTrue = (negate ? alwaysFalseCNF(src) : alwaysTrueCNF(src));
+ if (alwaysTrue) {
+ Literal clause[] = {getProxy(*dest)};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ } else {
+ Literal clause[] = {-getProxy(*dest)};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ }
+
+ *dest = allocCNFExprBool(negate ? alwaysFalseCNF(src) : alwaysTrueCNF(src));
+ } else {
+ clearCNFExpr(*dest, negate ? alwaysFalseCNF(src) : alwaysTrueCNF(src));
}
- pushVectorConstraint(to, c);
+ return true;
}
- deleteVectorConstraint(from);
return false;
}
-VectorConstraint * simplifyConstraint(Constraint * this) {
- switch(this->type) {
- case TRUE:
- case VAR:
- case NOTVAR:
- case FALSE: {
- VectorConstraint * vec=allocDefVectorConstraint();
- pushVectorConstraint(vec, this);
- return vec;
- }
- case AND: {
- VectorConstraint *vec=allocDefVectorConstraint();
- for(uint i=0;i<this->numoperandsorvar;i++) {
- VectorConstraint * subvec=simplifyConstraint(this->operands[i]);
- if (mergeandfree(vec, subvec)) {
- for(uint j=i+1;j<this->numoperandsorvar;j++) {
- freerecConstraint(this->operands[j]);
- }
- internalfreeConstraint(this);
- return vec;
- }
+void saveCNF(CNF *cnf, CNFExpr* exp, Edge e, bool sign) {
+ Node *n=getNodePtrFromEdge(e);
+ n->flags.cnfVisitedUp |= (1 << sign);
+ if (exp == NULL || isProxy(exp)) return;
+
+ if (exp->litSize == 1) {
+ Literal l = getLiteralLitVector(&exp->singletons, 0);
+ deleteCNFExpr(exp);
+ n->ptrAnnot[sign] = (void*) ((((intptr_t) l) << 1) | 1);
+ } else if (exp->litSize != 0 && (n->intAnnot[sign] > 1 || n->flags.varForced)) {
+ introProxy(cnf, e, exp, sign);
+ } else {
+ n->ptrAnnot[sign] = exp;
+ }
+}
+
+void constrainCNF(CNF * cnf, Literal lcond, CNFExpr *expr) {
+ if (alwaysTrueCNF(expr)) {
+ return;
+ } else if (alwaysFalseCNF(expr)) {
+ Literal clause[] = {-lcond};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ return;
+ }
+
+ for(uint i=0;i<getSizeLitVector(&expr->singletons);i++) {
+ Literal l=getLiteralLitVector(&expr->singletons,i);
+ Literal clause[] = {-lcond, l};
+ addArrayClauseLiteral(cnf->solver, 2, clause);
+ }
+ for(uint i=0;i<getSizeVectorLitVector(&expr->clauses);i++) {
+ LitVector *lv=getVectorLitVector(&expr->clauses,i);
+ addClauseLiteral(cnf->solver, -lcond); //Add first literal
+ addArrayClauseLiteral(cnf->solver, getSizeLitVector(lv), lv->literals); //Add rest
+ }
+}
+
+void outputCNF(CNF *cnf, CNFExpr *expr) {
+ for(uint i=0;i<getSizeLitVector(&expr->singletons);i++) {
+ Literal l=getLiteralLitVector(&expr->singletons,i);
+ Literal clause[] = {l};
+ addArrayClauseLiteral(cnf->solver, 1, clause);
+ }
+ for(uint i=0;i<getSizeVectorLitVector(&expr->clauses);i++) {
+ LitVector *lv=getVectorLitVector(&expr->clauses,i);
+ addArrayClauseLiteral(cnf->solver, getSizeLitVector(lv), lv->literals);
+ }
+}
+
+CNFExpr* fillArgs(CNF *cnf, Edge e, bool isNeg, Edge * largestEdge) {
+ clearVectorEdge(&cnf->args);
+
+ *largestEdge = (Edge) {(Node*) NULL};
+ CNFExpr* largest = NULL;
+ Node *n=getNodePtrFromEdge(e);
+ int i = n->numEdges;
+ while (i != 0) {
+ Edge arg = n->edges[--i];
+ arg=constraintNegateIf(arg, isNeg);
+ Node * narg = getNodePtrFromEdge(arg);
+
+ if (edgeIsVarConst(arg)) {
+ pushVectorEdge(&cnf->args, arg);
+ continue;
}
- internalfreeConstraint(this);
- return vec;
- }
- case OR: {
- for(uint i=0;i<this->numoperandsorvar;i++) {
- Constraint *c=this->operands[i];
- switch(c->type) {
- case TRUE: {
- VectorConstraint * vec=allocDefVectorConstraint();
- pushVectorConstraint(vec, c);
- freerecConstraint(this);
- return vec;
- }
- case FALSE: {
- Constraint *array[this->numoperandsorvar-1];
- uint index=0;
- for(uint j=0;j<this->numoperandsorvar;j++) {
- if (j!=i)
- array[index++]=this->operands[j];
+
+ if (narg->flags.type == NodeType_ITE || narg->flags.type == NodeType_IFF) {
+ arg = (Edge) {(Node *) narg->ptrAnnot[isNegEdge(arg)]};
+ }
+
+ if (narg->intAnnot[isNegEdge(arg)] == 1) {
+ CNFExpr* argExp = (CNFExpr*) narg->ptrAnnot[isNegEdge(arg)];
+ if (!isProxy(argExp)) {
+ if (largest == NULL) {
+ largest = argExp;
+ * largestEdge = arg;
+ continue;
+ } else if (argExp->litSize > largest->litSize) {
+ pushVectorEdge(&cnf->args, *largestEdge);
+ largest = argExp;
+ * largestEdge = arg;
+ continue;
}
- Constraint *cn=allocArrayConstraint(OR, index, array);
- VectorConstraint *vec=simplifyConstraint(cn);
- internalfreeConstraint(this);
- return vec;
}
- case VAR:
- case NOTVAR:
- break;
- case OR: {
- uint nsize=this->numoperandsorvar+c->numoperandsorvar-1;
- Constraint *array[nsize];
- uint index=0;
- for(uint j=0;j<this->numoperandsorvar;j++)
- if (j!=i)
- array[index++]=this->operands[j];
- for(uint j=0;j<c->numoperandsorvar;j++)
- array[index++]=c->operands[j];
- Constraint *cn=allocArrayConstraint(OR, nsize, array);
- VectorConstraint *vec=simplifyConstraint(cn);
- internalfreeConstraint(this);
- internalfreeConstraint(c);
- return vec;
- }
- case IMPLIES: {
- uint nsize=this->numoperandsorvar+1;
- Constraint *array[nsize];
- uint index=0;
- for(uint j=0;j<this->numoperandsorvar;j++)
- if (j!=i)
- array[index++]=this->operands[j];
- array[index++]=negateConstraint(c->operands[0]);
- array[index++]=c->operands[1];
- Constraint *cn=allocArrayConstraint(OR, nsize, array);
- VectorConstraint *vec=simplifyConstraint(cn);
- internalfreeConstraint(this);
- internalfreeConstraint(c);
- return vec;
+ }
+ pushVectorEdge(&cnf->args, arg);
+ }
+
+ if (largest != NULL) {
+ Node *nlargestEdge=getNodePtrFromEdge(*largestEdge);
+ nlargestEdge->ptrAnnot[isNegEdge(*largestEdge)] = NULL;
+ }
+
+ return largest;
+}
+
+void printCNF(Edge e) {
+ if (edgeIsVarConst(e)) {
+ Literal l=getEdgeVar(e);
+ printf ("%d", l);
+ return;
+ }
+ bool isNeg=isNegEdge(e);
+ if (edgeIsConst(e)) {
+ if (isNeg)
+ printf("T");
+ else
+ printf("F");
+ return;
+ }
+ Node *n=getNodePtrFromEdge(e);
+ if (isNeg)
+ printf("!");
+ switch(getNodeType(e)) {
+ case NodeType_AND:
+ printf("and");
+ break;
+ case NodeType_ITE:
+ printf("ite");
+ break;
+ case NodeType_IFF:
+ printf("iff");
+ break;
+ }
+ printf("(");
+ for(uint i=0;i<n->numEdges;i++) {
+ Edge e=n->edges[i];
+ if (i!=0)
+ printf(" ");
+ printCNF(e);
+ }
+ printf(")");
+}
+
+CNFExpr * produceConjunction(CNF * cnf, Edge e) {
+ Edge largestEdge;
+
+ CNFExpr* accum = fillArgs(cnf, e, false, &largestEdge);
+ if (accum == NULL)
+ accum = allocCNFExprBool(true);
+
+ int i = getSizeVectorEdge(&cnf->args);
+ while (i != 0) {
+ Edge arg = getVectorEdge(&cnf->args, --i);
+ if (edgeIsVarConst(arg)) {
+ conjoinCNFLit(accum, getEdgeVar(arg));
+ } else {
+ Node *narg=getNodePtrFromEdge(arg);
+ CNFExpr* argExp = (CNFExpr*) narg->ptrAnnot[isNegEdge(arg)];
+
+ bool destroy = (--narg->intAnnot[isNegEdge(arg)] == 0);
+ if (isProxy(argExp)) { // variable has been introduced
+ conjoinCNFLit(accum, getProxy(argExp));
+ } else {
+ conjoinCNFExpr(accum, argExp, destroy);
+ if (destroy)
+ narg->ptrAnnot[isNegEdge(arg)] = NULL;
}
- case AND: {
- Constraint *array[this->numoperandsorvar];
-
- VectorConstraint *vec=allocDefVectorConstraint();
- for(uint j=0;j<c->numoperandsorvar;j++) {
- //copy other elements
- for(uint k=0;k<this->numoperandsorvar;k++) {
- if (k!=i) {
- array[k]=cloneConstraint(this->operands[k]);
- }
- }
+ }
+ }
+
+ return accum;
+}
- array[i]=cloneConstraint(c->operands[j]);
- Constraint *cn=allocArrayConstraint(OR, this->numoperandsorvar, array);
- VectorConstraint * newvec=simplifyConstraint(cn);
- if (mergeandfree(vec, newvec)) {
- freerecConstraint(this);
- return vec;
- }
+#define CLAUSE_MAX 3
+
+CNFExpr* produceDisjunction(CNF *cnf, Edge e) {
+ Edge largestEdge;
+ CNFExpr* accum = fillArgs(cnf, e, true, &largestEdge);
+ if (accum == NULL)
+ accum = allocCNFExprBool(false);
+
+ // This is necessary to check to make sure that we don't start out
+ // with an accumulator that is "too large".
+
+ /// @todo Strictly speaking, introProxy doesn't *need* to free
+ /// memory, then this wouldn't have to reallocate CNFExpr
+
+ /// @todo When this call to introProxy is made, the semantic
+ /// negation pointer will have been destroyed. Thus, it will not
+ /// be possible to use the correct proxy. That should be fixed.
+
+ // at this point, we will either have NULL, or a destructible expression
+ if (getClauseSizeCNF(accum) > CLAUSE_MAX)
+ accum = allocCNFExprLiteral(introProxy(cnf, largestEdge, accum, isNegEdge(largestEdge)));
+
+ int i = getSizeVectorEdge(&cnf->args);
+ while (i != 0) {
+ Edge arg=getVectorEdge(&cnf->args, --i);
+ Node *narg=getNodePtrFromEdge(arg);
+ if (edgeIsVarConst(arg)) {
+ disjoinCNFLit(accum, getEdgeVar(arg));
+ } else {
+ CNFExpr* argExp = (CNFExpr*) narg->ptrAnnot[isNegEdge(arg)];
+
+ bool destroy = (--narg->intAnnot[isNegEdge(arg)] == 0);
+ if (isProxy(argExp)) { // variable has been introduced
+ disjoinCNFLit(accum, getProxy(argExp));
+ } else if (argExp->litSize == 0) {
+ disjoinCNFExpr(accum, argExp, destroy);
+ } else {
+ // check to see if we should introduce a proxy
+ int aL = accum->litSize; // lits in accum
+ int eL = argExp->litSize; // lits in argument
+ int aC = getClauseSizeCNF(accum); // clauses in accum
+ int eC = getClauseSizeCNF(argExp); // clauses in argument
+
+ if (eC > CLAUSE_MAX || (eL * aC + aL * eC > eL + aC + aL + aC)) {
+ disjoinCNFLit(accum, introProxy(cnf, arg, argExp, isNegEdge(arg)));
+ } else {
+ disjoinCNFExpr(accum, argExp, destroy);
+ if (destroy) narg->ptrAnnot[isNegEdge(arg)] = NULL;
}
- freerecConstraint(this);
- return vec;
- }
- default:
- ASSERT(0);
}
- //continue on to next item
}
- VectorConstraint * vec=allocDefVectorConstraint();
- if (this->numoperandsorvar==1) {
- Constraint *c=this->operands[0];
- freerecConstraint(this);
- pushVectorConstraint(vec, c);
- } else
- pushVectorConstraint(vec, this);
- return vec;
- }
- case IMPLIES: {
- Constraint *cn=allocConstraint(OR, negateConstraint(this->operands[0]), this->operands[1]);
- VectorConstraint * vec=simplifyConstraint(cn);
- internalfreeConstraint(this);
- return vec;
- }
- default:
- ASSERT(0);
- return NULL;
- }
-}
-
-Constraint * negateConstraint(Constraint * this) {
- switch(this->type) {
- case TRUE:
- return &cfalse;
- case FALSE:
- return &ctrue;
- case NOTVAR:
- case VAR:
- return this->neg;
- case IMPLIES: {
- Constraint *l=this->operands[0];
- Constraint *r=this->operands[1];
- this->operands[0]=r;
- this->operands[1]=l;
- return this;
- }
- case AND:
- case OR: {
- for(uint i=0;i<this->numoperandsorvar;i++) {
- this->operands[i]=negateConstraint(this->operands[i]);
+ }
+
+ return accum;
+}
+
+Edge generateBinaryConstraint(CNF *cnf, uint numvars, Edge * vars, uint value) {
+ Edge carray[numvars];
+ for(uint j=0;j<numvars;j++) {
+ carray[j]=((value&1)==1) ? vars[j] : constraintNegate(vars[j]);
+ value=value>>1;
+ }
+
+ return constraintAND(cnf, numvars, carray);
+}
+
+/** Generates a constraint to ensure that all encodings are less than value */
+Edge generateLTConstraint(CNF *cnf, uint numvars, Edge * vars, uint value) {
+ Edge orarray[numvars];
+ Edge andarray[numvars];
+ uint andi=0;
+
+ while(true) {
+ uint val=value;
+ uint ori=0;
+ for(uint j=0;j<numvars;j++) {
+ if ((val&1)==1)
+ orarray[ori++]=constraintNegate(vars[j]);
+ val=val>>1;
+ }
+ //no ones to flip, so bail now...
+ if (ori==0) {
+ return constraintAND(cnf, andi, andarray);
}
- this->type=(this->type==AND) ? OR : AND;
- return this;
+ andarray[andi++]=constraintOR(cnf, ori, orarray);
+
+ value=value+(1<<(__builtin_ctz(value)));
+ //flip the last one
}
- default:
- ASSERT(0);
- return NULL;
+}
+
+Edge generateEquivNVConstraint(CNF *cnf, uint numvars, Edge *var1, Edge *var2) {
+ if (numvars==0)
+ return E_True;
+ Edge array[numvars];
+ for(uint i=0;i<numvars;i++) {
+ array[i]=constraintIFF(cnf, var1[i], var2[i]);
}
+ return constraintAND(cnf, numvars, array);
}