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/*
 * This file is part of choco-solver, http://choco-solver.org/
 *
 * Copyright (c) 2019, 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.nary.lex;

import org.chocosolver.memory.IEnvironment;
import org.chocosolver.memory.IStateInt;
import org.chocosolver.solver.constraints.Propagator;
import org.chocosolver.solver.constraints.PropagatorPriority;
import org.chocosolver.solver.exception.ContradictionException;
import org.chocosolver.solver.variables.IntVar;
import org.chocosolver.solver.variables.events.PropagatorEventType;
import org.chocosolver.util.ESat;
import org.chocosolver.util.tools.ArrayUtils;

import java.util.Arrays;

/**
 * Enforce a lexicographic ordering on two vectors of integer
 * variables x <_lex y with x = , and y = .
 * ref : Global Constraints for Lexicographic Orderings (Frisch and al)
 * 
* * @author Charles Prud'homme * @since 10/08/11 */ public class PropLex extends Propagator { private final int n; // size of both vectors private final IStateInt alpha; // size of both vectors private final IStateInt beta; private boolean entailed; private final IntVar[] x; private final IntVar[] y; private final boolean strict; public PropLex(IntVar[] X, IntVar[] Y, boolean strict) { super(ArrayUtils.append(X, Y), PropagatorPriority.LINEAR, true); this.x = Arrays.copyOfRange(vars, 0, X.length); this.y = Arrays.copyOfRange(vars, X.length, vars.length); this.strict = strict; this.n = X.length; IEnvironment environment = model.getEnvironment(); alpha = environment.makeInt(0); beta = environment.makeInt(0); entailed = false; } @Override public void propagate(int evtmask) throws ContradictionException { if (PropagatorEventType.isFullPropagation(evtmask)) { initialize(); } else { gacLexLeq(alpha.get()); } } @Override public void propagate(int vIdx, int mask) throws ContradictionException { entailed = false; if (vIdx < n) { gacLexLeq(vIdx); } else { gacLexLeq(vIdx - n); } } @Override public ESat isEntailed() { if (isCompletelyInstantiated()) { for (int i = 0; i < x.length; i++) { int xi = vars[i].getValue(); int yi = vars[i + n].getValue(); if (xi < yi) { return ESat.TRUE; } else if (xi > yi) { return ESat.FALSE; }//else xi == yi } if (strict) { return ESat.FALSE; } else { return ESat.TRUE; } } return ESat.UNDEFINED; } ///////////////////// private boolean groundEq(IntVar x1, IntVar y1) { return x1.isInstantiated() && y1.isInstantiated() && x1.getValue() == y1.getValue(); } private boolean checkLex(int i) { if (!strict) { if (i == n - 1) { return x[i].getUB() <= y[i].getLB(); } else { return x[i].getUB() < y[i].getLB(); } } else { return x[i].getUB() < y[i].getLB(); } } private void updateAlpha(int i) throws ContradictionException { if (i == beta.get()) { fails(); } if (i == n) { if (strict) { fails(); } else { entailed = true; setPassive(); return; } } if (!groundEq(x[i], y[i])) { alpha.set(i); gacLexLeq(i); } else { updateAlpha(i + 1); } } private void updateBeta(int i) throws ContradictionException { if ((i + 1) == alpha.get()) { fails(); } if (x[i].getLB() < y[i].getUB()) { beta.set(i + 1); if (x[i].getUB() >= y[i].getLB()) { gacLexLeq(i); } } else if (x[i].getLB() == y[i].getUB()) { updateBeta(i - 1); } } /** * Build internal structure of the propagator, if necessary * * @throws org.chocosolver.solver.exception.ContradictionException if initialisation encounters a contradiction */ private void initialize() throws ContradictionException { entailed = false; int i = 0; int a, b; while (i < n && groundEq(x[i], y[i])) { i++; } if (i == n) { if (!strict) { entailed = true; setPassive(); } else { fails(); } } else { a = i; if (checkLex(i)) { setPassive(); return; } b = -1; while (i != n && x[i].getLB() <= y[i].getUB()) { if (x[i].getLB() == y[i].getUB()) { if (b == -1) { b = i; } } else { b = -1; } i++; } if (!strict && i == n) { b = Integer.MAX_VALUE; } if (b == -1) { b = i; } if (a >= b) { fails(); } alpha.set(a); beta.set(b); gacLexLeq(a); } } private void gacLexLeq(int i) throws ContradictionException { int a = alpha.get(); int b = beta.get(); //Part A if (i >= b || entailed) { return; } //Part B if (i == a && (i + 1) == b) { x[i].updateUpperBound(y[i].getUB() - 1, this); y[i].updateLowerBound(x[i].getLB() + 1, this); if (checkLex(i)) { entailed = true; setPassive(); return; } } //Part C if (i == a && (i + 1) < b) { x[i].updateUpperBound(y[i].getUB(), this); y[i].updateLowerBound(x[i].getLB(), this); if (checkLex(i)) { entailed = true; setPassive(); return; } if (groundEq(x[i], y[i])) { updateAlpha(i + 1); } } //Part D if (a < i /*&& i < b*/) { if ((i == (b - 1) && x[i].getLB() == y[i].getUB()) || x[i].getLB() > y[i].getUB()) { updateBeta(i - 1); } } } @Override public String toString() { StringBuilder sb = new StringBuilder(32); sb.append("LEX <"); int i = 0; for (; i < Math.min(this.x.length - 1, 2); i++) { sb.append(this.x[i]).append(", "); } if (i == 2 && this.x.length - 1 > 2) sb.append("..., "); sb.append(this.x[x.length - 1]); sb.append(">, <"); i = 0; for (; i < Math.min(this.y.length - 1, 2); i++) { sb.append(this.y[i]).append(", "); } if (i == 2 && this.y.length - 1 > 2) sb.append("..., "); sb.append(this.y[y.length - 1]); sb.append(">"); return sb.toString(); } }




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