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/*
 * This file is part of choco-solver, http://choco-solver.org/
 *
 * Copyright (c) 2022, 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.expression.continuous.arithmetic;

import org.chocosolver.memory.IStateDouble;
import org.chocosolver.solver.ICause;
import org.chocosolver.solver.Model;
import org.chocosolver.solver.exception.ContradictionException;
import org.chocosolver.solver.variables.RealVar;
import org.chocosolver.util.objects.RealInterval;
import org.chocosolver.util.tools.RealUtils;
import org.chocosolver.util.tools.VariableUtils;

import java.util.List;
import java.util.TreeSet;

/**
 * Binary continuous arithmetic expression
 * 

* Project: choco-solver. * * @author Charles Prud'homme * @since 28/04/2016. */ public class BiCArExpression implements CArExpression { /** * The model in which the expression is declared */ Model model; /** * Lazy creation of the underlying variable */ RealVar me = null; /** * Operator of the arithmetic expression */ Operator op; /** * The first expression this expression relies on */ private final CArExpression e1; /** * The second expression this expression relies on */ private final CArExpression e2; IStateDouble l; IStateDouble u; /** * Builds a binary expression * * @param op an operator * @param e1 an expression * @param e2 an expression */ public BiCArExpression(Operator op, CArExpression e1, CArExpression e2) { this.op = op; this.e1 = e1; this.e2 = e2; this.model = e1.getModel(); } @Override public Model getModel() { return model; } @Override public RealVar realVar(double p) { if (me == null) { RealVar v1 = e1.realVar(p); RealVar v2 = e2.realVar(p); double[] bounds; switch (op) { case ADD: bounds = VariableUtils.boundsForAddition(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}={1}+{2}", me, v1, v2).post(); break; case SUB: bounds = VariableUtils.boundsForSubstraction(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}={1}-{2}", me, v1, v2).post(); break; case MUL: bounds = VariableUtils.boundsForMultiplication(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}={1}*{2}", me, v1, v2).post(); break; case DIV: bounds = VariableUtils.boundsForDivision(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}={1}/{2}", me, v1, v2).post(); break; case POW: if (isIntegerConstant(v2)) { // See issue: #702 int exponent = (int) v2.getLB(); bounds = VariableUtils.boundsForPow(v1, exponent); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}={1}^" + exponent, me, v1).post(); } else { bounds = VariableUtils.boundsForPow(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}={1}^{2}", me, v1, v2).post(); } break; case MIN: bounds = VariableUtils.boundsForMinimum(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}=min({1},{2})", me, v1, v2).post(); break; case MAX: bounds = VariableUtils.boundsForMaximum(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}=max({1},{2})", me, v1, v2).post(); break; case ATAN2: bounds = VariableUtils.boundsForAtan2(v1, v2); me = model.realVar(bounds[0], bounds[1], p); model.realIbexGenericConstraint("{0}=atan2({1},{2})", me, v1, v2).post(); break; default: throw new UnsupportedOperationException("Binary arithmetic expressions does not support " + op.name()); } } return me; } @Override public void tighten() { RealInterval res; switch (op) { case ADD: res = RealUtils.add(e1, e2); break; case SUB: res = RealUtils.sub(e1, e2); break; case MUL: res = RealUtils.mul(e1, e2); break; case DIV: res = RealUtils.odiv(e1, e2); break; case MIN: res = new RealIntervalConstant( Math.min(e1.getLB(), e2.getLB()), Math.min(e1.getUB(), e2.getUB()) ); break; case MAX: res = new RealIntervalConstant( Math.max(e1.getLB(), e2.getLB()), Math.max(e1.getUB(), e2.getUB()) ); break; case POW: case ATAN2: default: throw new UnsupportedOperationException("Equation does not support " + op.name()+". Consider using Ibex instead."); } l.set(res.getLB()); u.set(res.getUB()); } @Override public void project(ICause cause) throws ContradictionException { switch (op) { case ADD: e1.intersect(RealUtils.sub(this, e2), cause); e2.intersect(RealUtils.sub(this, e1), cause); break; case SUB: e1.intersect(RealUtils.add(this, e2), cause); e2.intersect(RealUtils.sub(e1, this), cause); break; case MUL: e1.intersect(RealUtils.odiv_wrt(this, e2, e1), cause); e2.intersect(RealUtils.odiv_wrt(this, e1, e2), cause); break; case DIV: e1.intersect(RealUtils.mul(this, e2), cause); e2.intersect(RealUtils.odiv_wrt(e1, this, e2), cause); break; case MIN: e1.intersect(this.getLB(), RealUtils.nextFloat(e1.getUB()), cause); e2.intersect(this.getLB(), RealUtils.nextFloat(e2.getUB()), cause); if (e2.getLB() > this.getUB()) { e1.intersect(RealUtils.prevFloat(e1.getLB()), this.getUB(), cause); } if (e1.getLB() > this.getUB()) { e2.intersect(RealUtils.prevFloat(e2.getLB()), this.getUB(), cause); } break; case MAX: e1.intersect(RealUtils.prevFloat(e1.getLB()), this.getUB(), cause); e2.intersect(RealUtils.prevFloat(e2.getLB()), this.getUB(), cause); if (e2.getUB() < this.getLB()) { e1.intersect(this.getLB(), RealUtils.nextFloat(e1.getUB()), cause); } if (e1.getUB() < this.getLB()) { e2.intersect(this.getLB(), RealUtils.nextFloat(e2.getUB()), cause); } break; case POW: case ATAN2: default: throw new UnsupportedOperationException("Equation does not support " + op.name()+". Consider using Ibex instead."); } } @Override public void collectVariables(TreeSet set) { e1.collectVariables(set); e2.collectVariables(set); } @Override public void subExps(List list) { e1.subExps(list); e2.subExps(list); list.add(this); } @Override public boolean isolate(RealVar var, List wx, List wox) { boolean dependsOnX = e1.isolate(var, wx, wox) | e2.isolate(var, wx, wox); if (dependsOnX){ wx.add(this); } else{ wox.add(this); } return dependsOnX; } @Override public void init() { if(l == null && u == null) { l = model.getEnvironment().makeFloat(Double.NEGATIVE_INFINITY); u = model.getEnvironment().makeFloat(Double.POSITIVE_INFINITY); } e1.init(); e2.init(); } @Override public double getLB() { return l.get(); } @Override public double getUB() { return u.get(); } @Override public void intersect(double lb, double ub, ICause cause) throws ContradictionException { if (lb > getLB()) { l.set(lb); } if (ub < getUB()) { u.set(ub); } if (getLB() > getUB()) { model.getSolver().throwsException(cause, null, ""); } } @Override public String toString() { return op.name() + "(" + e1.toString() + "," + e2.toString() + ")"; } private boolean isIntegerConstant(RealVar realVar) { return realVar.isAConstant() && Math.rint(realVar.getLB()) == realVar.getLB(); } }





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