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/**
 * This file is part of choco-solver, http://choco-solver.org/
 *
 * Copyright (c) 2018, IMT Atlantique. All rights reserved.
 *
 * Licensed under the BSD 4-clause license.
 *
 * See LICENSE file in the project root for full license information.
 */
package org.chocosolver.solver.constraints.reification;

import org.chocosolver.solver.constraints.Propagator;
import org.chocosolver.solver.constraints.PropagatorPriority;
import org.chocosolver.solver.exception.ContradictionException;
import org.chocosolver.solver.learn.ExplanationForSignedClause;
import org.chocosolver.solver.learn.Implications;
import org.chocosolver.solver.variables.BoolVar;
import org.chocosolver.solver.variables.IntVar;
import org.chocosolver.util.ESat;
import org.chocosolver.util.objects.ValueSortedMap;
import org.chocosolver.util.objects.setDataStructures.iterable.IntIterableRangeSet;

/**
 * A propagator dedicated to express in a compact way: (x = c) ⇔ b
 *
 * @author Charles Prud'homme
 * @since 03/05/2016.
 */
public class PropXeqCReif extends Propagator {

    IntVar var;
    int cste;
    BoolVar r;

    public PropXeqCReif(IntVar x, int c, BoolVar r) {
        super(new IntVar[]{x, r}, PropagatorPriority.BINARY, false);
        this.cste = c;
        this.var = x;
        this.r = r;
    }

    @Override
    public void propagate(int evtmask) throws ContradictionException {
        if (r.getLB() == 1) {
            var.instantiateTo(cste, this);
            setPassive();
        } else if (r.getUB() == 0) {
            if (var.removeValue(cste, this) || !var.contains(cste)) {
                setPassive();
            }
        } else {
            if (var.isInstantiatedTo(cste)) {
                r.setToTrue(this);
                setPassive();
            } else if (!var.contains(cste)) {
                r.setToFalse(this);
                setPassive();
            }
        }
    }

    @Override
    public ESat isEntailed() {
        if(isCompletelyInstantiated()){
            if(r.isInstantiatedTo(1)){
                return ESat.eval(var.contains(cste));
            }else{
                return ESat.eval(!var.contains(cste));
            }
        }
        return ESat.UNDEFINED;
    }

    /**
     * @implSpec
     *
     * Premise: (x = c) ⇔ b
     * 

* 4 cases here (only cases that triggered filtering are reported): *

    *
  1. *
         *      (b = 1 ∧ x ∈ (-∞, +∞)) → x ∈ {c}
         *  
    *
         *      ⇔ (b = 0 ∨ x ∈ {c})
         *  
    *
  2. *
  3. *
         *      (b = [0,1] ∧ x ∈ {c}) → b = 1
         *  
    *
         *      ⇔ (b = 1 ∨ x ∈ (U \ c))
         *  
    *
  4. *
  5. *
         *      (b = 0 ∧ x ∈ (-∞, +∞)) → x ∈ (U \ c)
         *  
    *
         *      ⇔ (b = 1 ∨ x ∈ (U \ c))
         *  
    *
  6. *
  7. *
         *      (b = [0,1] ∧ x ∈ (U \ c)) → b = 0
         *  
    *
         *      ⇔ (b = 0 ∨ x ∈ {c})
         *  
    *
  8. *
*

*/ @Override public void explain(ExplanationForSignedClause explanation, ValueSortedMap front, Implications ig, int p) { IntVar pivot = ig.getIntVarAt(p); if (vars[1].isInstantiatedTo(1)) { // b is true and X = c holds if (pivot == vars[1]) { // b is the pivot explanation.addLiteral(vars[1], explanation.getFreeSet(1), true); IntIterableRangeSet dom0 = explanation.getRootSet(vars[0]); dom0.remove(cste); explanation.addLiteral(vars[0], dom0, false); } else if (pivot == vars[0]) { // x is the pivot explanation.addLiteral(vars[1], explanation.getFreeSet(0), false); explanation.addLiteral(vars[0], explanation.getFreeSet(cste), true); } } else if (vars[1].isInstantiatedTo(0)) { if (pivot == vars[1]) { // b is the pivot explanation.addLiteral(vars[1], explanation.getFreeSet(0), true); explanation.addLiteral(vars[0], explanation.getFreeSet(cste), false); } else if (pivot == vars[0]) { // x is the pivot, case e. in javadoc explanation.addLiteral(vars[1], explanation.getFreeSet(1), false); IntIterableRangeSet dom0 = explanation.getRootSet(vars[0]); dom0.remove(cste); explanation.addLiteral(vars[0], dom0, true); } } else { throw new UnsupportedOperationException(); } } @Override public String toString() { return "(" + var.getName() +" = " + cste + ") <=> "+r.getName(); } }




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