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//               The Next Generation Logic Library                       //
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//  Copyright 2015-20xx Christoph Zengler                                //
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/*
 * Open-WBO -- Copyright (c) 2013-2015, Ruben Martins, Vasco Manquinho, Ines Lynce
 * 

* 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. *

* 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. */ package org.logicng.solvers.maxsat.algorithms; import static org.logicng.datastructures.Tristate.FALSE; import static org.logicng.datastructures.Tristate.UNDEF; import static org.logicng.handlers.Handler.aborted; import static org.logicng.solvers.maxsat.algorithms.MaxSATConfig.Verbosity; import static org.logicng.solvers.maxsat.algorithms.MaxSATConfig.WeightStrategy; import static org.logicng.solvers.sat.MiniSatStyleSolver.not; import static org.logicng.solvers.sat.MiniSatStyleSolver.sign; import static org.logicng.solvers.sat.MiniSatStyleSolver.var; import org.logicng.collections.LNGBooleanVector; import org.logicng.collections.LNGIntVector; import org.logicng.collections.LNGVector; import org.logicng.datastructures.Tristate; import org.logicng.handlers.SATHandler; import org.logicng.solvers.maxsat.encodings.Encoder; import org.logicng.util.Pair; import java.io.PrintStream; import java.util.HashSet; import java.util.TreeMap; /** * Incremental WBO solver. * @version 2.1.0 * @since 1.0 */ public class IncWBO extends WBO { protected final Encoder encoder; protected final LNGBooleanVector incSoft; protected final PrintStream output; protected boolean firstBuild; /** * Constructs a new solver with default values. */ public IncWBO() { this(MaxSATConfig.builder().build()); } /** * Constructs a new solver with a given configuration. * @param config the configuration */ public IncWBO(final MaxSATConfig config) { super(config); this.solver = null; this.verbosity = config.verbosity; this.nbCurrentSoft = 0; this.weightStrategy = config.weightStrategy; this.symmetryStrategy = config.symmetry; this.symmetryBreakingLimit = config.limit; this.firstBuild = true; this.coreMapping = new TreeMap<>(); this.assumptions = new LNGIntVector(); this.indexSoftCore = new LNGIntVector(); this.softMapping = new LNGVector<>(); this.relaxationMapping = new LNGVector<>(); this.duplicatedSymmetryClauses = new HashSet<>(); this.encoder = new Encoder(MaxSATConfig.CardinalityEncoding.TOTALIZER); this.encoder.setAMOEncoding(config.amoEncoding); this.incSoft = new LNGBooleanVector(); this.output = config.output; } @Override public MaxSATResult search() { this.nbInitialVariables = nVars(); if (this.currentWeight == 1) { this.problemType = ProblemType.UNWEIGHTED; this.weightStrategy = WeightStrategy.NONE; } if (this.symmetryStrategy) { initSymmetry(); } if (this.problemType == ProblemType.UNWEIGHTED || this.weightStrategy == WeightStrategy.NONE) { return this.normalSearch(); } else if (this.weightStrategy == WeightStrategy.NORMAL || this.weightStrategy == WeightStrategy.DIVERSIFY) { return this.weightSearch(); } throw new IllegalArgumentException("Unknown problem type."); } @Override public String toString() { return this.getClass().getSimpleName(); } protected void incrementalBuildWeightSolver(final WeightStrategy strategy) { assert strategy == WeightStrategy.NORMAL || strategy == WeightStrategy.DIVERSIFY; if (this.firstBuild) { this.solver = newSATSolver(); for (int i = 0; i < nVars(); i++) { newSATVariable(this.solver); } for (int i = 0; i < nHard(); i++) { this.solver.addClause(this.hardClauses.get(i).clause(), null); } if (this.symmetryStrategy) { this.symmetryBreaking(); } this.firstBuild = false; } LNGIntVector clause; this.nbCurrentSoft = 0; for (int i = 0; i < nSoft(); i++) { if (this.softClauses.get(i).weight() >= this.currentWeight && this.softClauses.get(i).weight() != 0) { this.nbCurrentSoft++; clause = new LNGIntVector(this.softClauses.get(i).clause()); for (int j = 0; j < this.softClauses.get(i).relaxationVars().size(); j++) { clause.push(this.softClauses.get(i).relaxationVars().get(j)); } clause.push(this.softClauses.get(i).assumptionVar()); this.solver.addClause(clause, null); } } } protected void relaxCore(final LNGIntVector conflict, final int weightCore) { assert conflict.size() > 0; assert weightCore > 0; final LNGIntVector lits = new LNGIntVector(); for (int i = 0; i < conflict.size(); i++) { final int indexSoft = this.coreMapping.get(conflict.get(i)); if (this.softClauses.get(indexSoft).weight() == weightCore) { final LNGIntVector clause = new LNGIntVector(this.softClauses.get(indexSoft).clause()); final LNGIntVector vars = new LNGIntVector(this.softClauses.get(indexSoft).relaxationVars()); final int p = newLiteral(false); newSATVariable(this.solver); vars.push(p); lits.push(p); addSoftClause(weightCore, clause, vars); final int l = newLiteral(false); newSATVariable(this.solver); this.softClauses.get(nSoft() - 1).setAssumptionVar(l); this.coreMapping.put(l, nSoft() - 1); this.incSoft.set(indexSoft, true); this.incSoft.push(false); for (int j = 0; j < vars.size(); j++) { clause.push(vars.get(j)); } clause.push(l); this.solver.addClause(clause, null); clause.clear(); clause.push(this.softClauses.get(indexSoft).assumptionVar()); this.solver.addClause(clause, null); if (this.symmetryStrategy) { this.softMapping.push(new LNGIntVector(this.softMapping.get(indexSoft))); this.softMapping.get(indexSoft).clear(); this.relaxationMapping.push(new LNGIntVector(this.relaxationMapping.get(indexSoft))); this.relaxationMapping.get(indexSoft).clear(); symmetryLog(nSoft() - 1); } } else { assert this.softClauses.get(indexSoft).weight() - weightCore > 0; this.softClauses.get(indexSoft).setWeight(this.softClauses.get(indexSoft).weight() - weightCore); LNGIntVector clause = new LNGIntVector(this.softClauses.get(indexSoft).clause()); LNGIntVector vars = new LNGIntVector(this.softClauses.get(indexSoft).relaxationVars()); addSoftClause(this.softClauses.get(indexSoft).weight(), clause, vars); if (this.symmetryStrategy) { this.softMapping.push(new LNGIntVector(this.softMapping.get(indexSoft))); this.softMapping.get(indexSoft).clear(); this.relaxationMapping.push(new LNGIntVector(this.relaxationMapping.get(indexSoft))); this.relaxationMapping.get(indexSoft).clear(); } this.incSoft.set(indexSoft, true); int l = newLiteral(false); newSATVariable(this.solver); this.softClauses.get(nSoft() - 1).setAssumptionVar(l); this.coreMapping.put(l, nSoft() - 1); this.incSoft.push(false); for (int j = 0; j < vars.size(); j++) { clause.push(vars.get(j)); } clause.push(l); this.solver.addClause(clause, null); clause.clear(); vars.clear(); clause = new LNGIntVector(this.softClauses.get(indexSoft).clause()); vars = new LNGIntVector(this.softClauses.get(indexSoft).relaxationVars()); l = newLiteral(false); newSATVariable(this.solver); vars.push(l); lits.push(l); addSoftClause(weightCore, clause, vars); l = newLiteral(false); newSATVariable(this.solver); this.softClauses.get(nSoft() - 1).setAssumptionVar(l); this.coreMapping.put(l, nSoft() - 1); this.incSoft.push(false); for (int j = 0; j < vars.size(); j++) { clause.push(vars.get(j)); } clause.push(l); this.solver.addClause(clause, null); clause.clear(); clause.push(this.softClauses.get(indexSoft).assumptionVar()); this.solver.addClause(clause, null); if (this.symmetryStrategy) { this.softMapping.push(new LNGIntVector()); this.relaxationMapping.push(new LNGIntVector()); symmetryLog(nSoft() - 1); } } } this.encoder.encodeAMO(this.solver, lits); this.nbVars = this.solver.nVars(); if (this.symmetryStrategy) { this.symmetryBreaking(); } this.sumSizeCores += conflict.size(); } @Override protected void symmetryBreaking() { if (this.indexSoftCore.size() != 0 && this.nbSymmetryClauses < this.symmetryBreakingLimit) { final LNGIntVector[] coreIntersection = new LNGIntVector[this.nbCores]; final LNGIntVector[] coreIntersectionCurrent = new LNGIntVector[this.nbCores]; for (int i = 0; i < this.nbCores; i++) { coreIntersection[i] = new LNGIntVector(); coreIntersectionCurrent[i] = new LNGIntVector(); } final LNGIntVector coreList = new LNGIntVector(); for (int i = 0; i < this.indexSoftCore.size(); i++) { final int p = this.indexSoftCore.get(i); final LNGIntVector addCores = new LNGIntVector(); for (int j = 0; j < this.softMapping.get(p).size() - 1; j++) { final int core = this.softMapping.get(p).get(j); addCores.push(core); if (coreIntersection[core].size() == 0) { coreList.push(core); } assert j < this.relaxationMapping.get(p).size(); assert var(this.relaxationMapping.get(p).get(j)) > this.nbInitialVariables; coreIntersection[core].push(this.relaxationMapping.get(p).get(j)); } for (int j = 0; j < addCores.size(); j++) { final int core = addCores.get(j); final int b = this.softMapping.get(p).size() - 1; assert b < this.relaxationMapping.get(p).size(); assert var(this.relaxationMapping.get(p).get(b)) > this.nbInitialVariables; coreIntersectionCurrent[core].push(this.relaxationMapping.get(p).get(b)); } for (int k = 0; k < coreList.size(); k++) { for (int m = 0; m < coreIntersection[coreList.get(k)].size(); m++) { for (int j = m + 1; j < coreIntersectionCurrent[coreList.get(k)].size(); j++) { final LNGIntVector clause = new LNGIntVector(); clause.push(not(coreIntersection[coreList.get(k)].get(m))); clause.push(not(coreIntersectionCurrent[coreList.get(k)].get(j))); Pair symClause = new Pair<>(var(coreIntersection[coreList.get(k)].get(m)), var(coreIntersectionCurrent[coreList.get(k)].get(j))); if (var(coreIntersection[coreList.get(k)].get(m)) > var(coreIntersectionCurrent[coreList.get(k)].get(j))) { symClause = new Pair<>(var(coreIntersectionCurrent[coreList.get(k)].get(j)), var(coreIntersection[coreList.get(k)].get(m))); } if (!this.duplicatedSymmetryClauses.contains(symClause)) { this.duplicatedSymmetryClauses.add(symClause); this.solver.addClause(clause, null); this.nbSymmetryClauses++; if (this.symmetryBreakingLimit == this.nbSymmetryClauses) { break; } } } if (this.symmetryBreakingLimit == this.nbSymmetryClauses) { break; } } if (this.symmetryBreakingLimit == this.nbSymmetryClauses) { break; } } if (this.symmetryBreakingLimit == this.nbSymmetryClauses) { break; } } } this.indexSoftCore.clear(); } @Override protected MaxSATResult weightSearch() { assert this.weightStrategy == WeightStrategy.NORMAL || this.weightStrategy == WeightStrategy.DIVERSIFY; final Tristate unsatResult = unsatSearch(); if (unsatResult == UNDEF) { return MaxSATResult.UNDEF; } else if (unsatResult == FALSE) { return MaxSATResult.UNSATISFIABLE; } initAssumptions(this.assumptions); updateCurrentWeight(this.weightStrategy); this.incrementalBuildWeightSolver(this.weightStrategy); this.incSoft.growTo(nSoft(), false); while (true) { this.assumptions.clear(); for (int i = 0; i < this.incSoft.size(); i++) { if (!this.incSoft.get(i)) { this.assumptions.push(not(this.softClauses.get(i).assumptionVar())); } } final SATHandler satHandler = satHandler(); final Tristate res = searchSATSolver(this.solver, satHandler, this.assumptions); if (aborted(satHandler)) { return MaxSATResult.UNDEF; } else if (res == FALSE) { this.nbCores++; assert this.solver.conflict().size() > 0; final int coreCost = computeCostCore(this.solver.conflict()); this.lbCost += coreCost; if (this.verbosity != Verbosity.NONE) { this.output.printf("c LB : %d CS : %d W : %d%n", this.lbCost, this.solver.conflict().size(), coreCost); } if (!foundLowerBound(this.lbCost, null)) { return MaxSATResult.UNDEF; } this.relaxCore(this.solver.conflict(), coreCost); this.incrementalBuildWeightSolver(this.weightStrategy); } else { this.nbSatisfiable++; if (this.nbCurrentSoft == nSoft()) { assert this.incComputeCostModel(this.solver.model()) == this.lbCost; if (this.lbCost == this.ubCost && this.verbosity != Verbosity.NONE) { this.output.println("c LB = UB"); } if (this.lbCost < this.ubCost) { this.ubCost = this.lbCost; saveModel(this.solver.model()); if (this.verbosity != Verbosity.NONE) { this.output.println("o " + this.lbCost); } } return MaxSATResult.OPTIMUM; } else { updateCurrentWeight(this.weightStrategy); final int cost = this.incComputeCostModel(this.solver.model()); if (cost < this.ubCost) { this.ubCost = cost; saveModel(this.solver.model()); if (this.verbosity != Verbosity.NONE) { this.output.println("o " + this.ubCost); } } if (this.lbCost == this.ubCost) { if (this.verbosity != Verbosity.NONE) { this.output.println("c LB = UB"); } return MaxSATResult.OPTIMUM; } else if (!foundUpperBound(this.ubCost, null)) { return MaxSATResult.UNDEF; } this.incrementalBuildWeightSolver(this.weightStrategy); } } } } protected int incComputeCostModel(final LNGBooleanVector currentModel) { assert currentModel.size() != 0; int currentCost = 0; for (int i = 0; i < nSoft(); i++) { boolean unsatisfied = true; for (int j = 0; j < this.softClauses.get(i).clause().size(); j++) { if (this.incSoft.get(i)) { unsatisfied = false; continue; } assert var(this.softClauses.get(i).clause().get(j)) < currentModel.size(); if ((sign(this.softClauses.get(i).clause().get(j)) && !currentModel.get(var(this.softClauses.get(i).clause().get(j)))) || (!sign(this.softClauses.get(i).clause().get(j)) && currentModel.get(var(this.softClauses.get(i).clause().get(j))))) { unsatisfied = false; break; } } if (unsatisfied) { currentCost += this.softClauses.get(i).weight(); } } return currentCost; } @Override protected MaxSATResult normalSearch() { final Tristate unsatResult = unsatSearch(); if (unsatResult == UNDEF) { return MaxSATResult.UNDEF; } else if (unsatResult == FALSE) { return MaxSATResult.UNSATISFIABLE; } initAssumptions(this.assumptions); this.solver = rebuildSolver(); this.incSoft.growTo(nSoft(), false); while (true) { this.assumptions.clear(); for (int i = 0; i < this.incSoft.size(); i++) { if (!this.incSoft.get(i)) { this.assumptions.push(not(this.softClauses.get(i).assumptionVar())); } } final SATHandler satHandler = satHandler(); final Tristate res = searchSATSolver(this.solver, satHandler, this.assumptions); if (aborted(satHandler)) { return MaxSATResult.UNDEF; } else if (res == FALSE) { this.nbCores++; assert this.solver.conflict().size() > 0; final int coreCost = computeCostCore(this.solver.conflict()); this.lbCost += coreCost; if (this.verbosity != Verbosity.NONE) { this.output.printf("c LB : %d CS : %d W : %d%n", this.lbCost, this.solver.conflict().size(), coreCost); } if (this.lbCost == this.ubCost) { if (this.verbosity != Verbosity.NONE) { this.output.println("c LB = UB"); } return MaxSATResult.OPTIMUM; } if (!foundLowerBound(this.lbCost, null)) { return MaxSATResult.UNDEF; } this.relaxCore(this.solver.conflict(), coreCost); } else { this.nbSatisfiable++; this.ubCost = this.incComputeCostModel(this.solver.model()); assert this.lbCost == this.ubCost; if (this.verbosity != Verbosity.NONE) { this.output.println("o " + this.lbCost); } saveModel(this.solver.model()); return MaxSATResult.OPTIMUM; } } } }





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