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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.variables;

import org.chocosolver.solver.ISelf;
import org.chocosolver.solver.Model;
import org.chocosolver.solver.variables.view.BoolNotView;
import org.chocosolver.solver.variables.view.EqView;
import org.chocosolver.solver.variables.view.LeqView;
import org.chocosolver.solver.variables.view.MinusView;
import org.chocosolver.solver.variables.view.OffsetView;
import org.chocosolver.solver.variables.view.RealView;
import org.chocosolver.solver.variables.view.ScaleView;

import static java.lang.Math.max;

/**
 * Interface to make views (BoolVar, IntVar, RealVar and SetVar)
 *
 * A kind of factory relying on interface default implementation to allow (multiple) inheritance
 *
 * @author Jean-Guillaume FAGES
 */
public interface IViewFactory extends ISelf {

    //*************************************************************************************
    // BOOLEAN VARIABLES
    //*************************************************************************************

    /**
     * Creates a view over bool holding the logical negation of bool (ie, ¬BOOL).
     * @param bool a boolean variable.
     * @return a BoolVar equal to not(bool) (or 1-bool)
     */
    default BoolVar boolNotView(BoolVar bool) {
        if (bool.hasNot()) {
            return bool.not();
        } else {
            BoolVar not;
            if (bool.isInstantiated()) {
                not = bool.getValue() == 1 ? ref().boolVar(false) : ref().boolVar(true);
            } else {
                if (ref().getSettings().enableViews()) {
                    not = new BoolNotView(bool);
                } else {
                    not = ref().boolVar("not(" + bool.getName() + ")");
                    ref().arithm(not, "!=", bool).post();
                }
                not.setNot(true);
            }
            bool._setNot(not);
            not._setNot(bool);
            return not;
        }
    }

    //*************************************************************************************
    // INTEGER VARIABLES
    //*************************************************************************************

    /**
     * Creates a view based on var, equal to var+cste.
     * @param var  an integer variable
     * @param cste a constant (can be either negative or positive)
     * @return an IntVar equal to var+cste
     */
    default IntVar intOffsetView(IntVar var, int cste) {
        if (cste == 0) {
            return var;
        }
        String name = "(" + var.getName() + (cste >= 0 ? "+" : "-") + Math.abs(cste) + ")";
        if (var.isInstantiated()) {
            return ref().intVar(name, var.getValue() + cste);
        }
        if (ref().getSettings().enableViews()) {
            int p = checkDeclaredView(var, cste, OffsetView.class);
            if(p>-1){
                return var.getView(p).asIntVar();
            }else {
                return new OffsetView(var, cste);
            }
        } else {
            int lb = var.getLB() + cste;
            int ub = var.getUB() + cste;
            IntVar ov;
            if (var.hasEnumeratedDomain()) {
                ov = ref().intVar(name, lb, ub, false);
            } else {
                ov = ref().intVar(name, lb, ub, true);
            }
            ref().arithm(ov, "-", var, "=", cste).post();
            return ov;
        }
    }

    /**
     * Creates a view over var equal to -var.
     * That is if var = [a,b], then this = [-b,-a].
     *
     * @param var an integer variable
     * @return an IntVar equal to -var
     */
    default IntVar intMinusView(IntVar var) {
        if (var.isInstantiated()) {
            return ref().intVar(-var.getValue());
        }
        if (ref().getSettings().enableViews()) {
            if (var instanceof MinusView) {
                return ((MinusView) var).getVariable();
            } else {
                int p = checkDeclaredView(var, -1, MinusView.class);
                if(p>-1){
                    return var.getView(p).asIntVar();
                }else {
                    return new MinusView(var);
                }
            }
        } else {
            int ub = -var.getLB();
            int lb = -var.getUB();
            String name = "-(" + var.getName() + ")";
            IntVar ov;
            if (var.hasEnumeratedDomain()) {
                ov = ref().intVar(name, lb, ub, false);
            } else {
                ov = ref().intVar(name, lb, ub, true);
            }
            ref().arithm(ov, "+", var, "=", 0).post();
            return ov;
        }
    }

    /**
     * Creates a view over var equal to var*cste.
     * Requires cste > -2
     * 

*
- if cste < -1, throws an exception; *
- if cste = -1, returns a minus view; *
- if cste = 0, returns a fixed variable; *
- if cste = 1, returns var; *
- otherwise, returns a scale view; *

* @param var an integer variable * @param cste a constant. * @return an IntVar equal to var*cste */ default IntVar intScaleView(IntVar var, int cste) { if (cste == -1) { return intMinusView(var); } IntVar v2; if (cste == 0) { v2 = ref().intVar(0); } else if (cste == 1) { v2 = var; } else { if (var.isInstantiated()) { return ref().intVar(var.getValue() * cste); } if (ref().getSettings().enableViews()) { boolean rev = cste < 0; cste = Math.abs(cste); int p = checkDeclaredView(var, cste, ScaleView.class); if(p>-1){ return var.getView(p).asIntVar(); }else { v2 = new ScaleView(var, cste); } if(rev){ v2 = intMinusView(v2); } } else { int lb, ub; if (cste > 0) { lb = var.getLB() * cste; ub = var.getUB() * cste; } else { lb = var.getUB() * cste; ub = var.getLB() * cste; } String name = "(" + var.getName() + "*" + cste + ")"; IntVar ov; if (var.hasEnumeratedDomain()) { ov = ref().intVar(name, lb, ub, false); } else { ov = ref().intVar(name, lb, ub, true); } ref().times(var, cste, ov).post(); return ov; } } return v2; } /** * Creates a view over var such that: |var|. *

*
- if var is already instantiated, returns a fixed variable; *
- if the lower bound of var is greater or equal to 0, returns var; *
- if the upper bound of var is less or equal to 0, return a minus view; *
- otherwise, returns an absolute view; *

* @param var an integer variable. * @return an IntVar equal to the absolute value of var */ default IntVar intAbsView(IntVar var) { if (var.isInstantiated()) { return ref().intVar(Math.abs(var.getValue())); } else if (var.getLB() >= 0) { return var; } else if (var.getUB() <= 0) { return intMinusView(var); } else { int ub = max(-var.getLB(), var.getUB()); String name = "|" + var.getName() + "|"; IntVar abs; if (var.hasEnumeratedDomain()) { abs = ref().intVar(name, 0, ub, false); } else { abs = ref().intVar(name, 0, ub, true); } ref().absolute(abs, var).post(); return abs; } } /** * Creates an affine view over x such that: a.x + b. *

* * @param a a coefficient * @param x an integer variable. * @param b a constant * @return an IntVar equal to the absolute value of var */ default IntVar intAffineView(int a, IntVar x, int b) { if (x.isInstantiated()) { return ref().intVar(a * x.getValue() + b); } else { return intOffsetView(intScaleView(x, a), b); } } /** * Creates an view over x such that: (x = c) ⇔ b. *

* @param x an integer variable. * @param c a constant * @return a BoolVar that reifies x = c */ default BoolVar intEqView(IntVar x, int c) { if (x.isInstantiatedTo(c)) { return ref().boolVar(true); } else if (!x.contains(c)) { return ref().boolVar(false); } else { int p = checkDeclaredView(x, c, EqView.class); if(p >= 0){ return x.getView(p).asBoolVar(); }else { return new EqView(x, c); } } } /** * Creates an view over x such that: (x != c) ⇔ b. *

* @param x an integer variable. * @param c a constant * @return a BoolVar that reifies x != c */ default BoolVar intNeView(IntVar x, int c) { if (x.isInstantiatedTo(c)) { return ref().boolVar(false); } else if (!x.contains(c)) { return ref().boolVar(true); } else { int p = checkDeclaredView(x, c, EqView.class); if(p >= 0){ return x.getView(p).asBoolVar().not(); }else { return new EqView(x, c).not(); } } } /** * Creates an view over x such that: (x ≤ c) ⇔ b. *

* @param x an integer variable. * @param c a constant * @return a BoolVar that reifies x ≤ c */ default BoolVar intLeView(IntVar x, int c) { if (x.getUB() <= c) { return ref().boolVar(true); } else if (x.getLB() > c) { return ref().boolVar(false); } else { int p = checkDeclaredView(x, c, LeqView.class); if(p >= 0){ return x.getView(p).asBoolVar(); }else { return new LeqView(x, c); } } } /** * Creates an view over x such that: (x ≥ c) ⇔ b. *

* @param x an integer variable. * @param c a constant * @return a BoolVar that reifies x ≥ c */ default BoolVar intGeView(IntVar x, int c) { if (x.getLB() >= c) { return ref().boolVar(true); } else if (x.getUB() < c) { return ref().boolVar(false); } else { int p = checkDeclaredView(x, c - 1, LeqView.class); if(p >= 0){ return x.getView(p).asBoolVar().not(); }else { return new LeqView(x, c - 1).not(); } } } static int checkDeclaredView(IntVar x, int c, Class clazz){ for(int i = 0; i < x.getNbViews(); i++) if (clazz.isInstance(x.getView(i))) { if(clazz == EqView.class){ EqView v = (EqView) x.getView(i); if(v.cste == c){ return i; } }else if(clazz == LeqView.class){ LeqView v = (LeqView) x.getView(i); if(v.cste == c){ return i; } }else if(clazz == MinusView.class){ return i; }else if(clazz == OffsetView.class){ OffsetView v = (OffsetView) x.getView(i); if(v.cste == c){ return i; } }else if(clazz == ScaleView.class){ ScaleView v = (ScaleView) x.getView(i); if(v.cste == c){ return i; } } } return -1; } //************************************************************************************* // REAL VARIABLES //************************************************************************************* /** * Creates a real view of var, i.e. a RealVar of domain equal to the domain of var. * This should be used to include an integer variable in an expression/constraint requiring RealVar * @param var the integer variable to be viewed as a RealVar * @param precision double precision (e.g., 0.00001d) * @return a RealVar of domain equal to the domain of var */ default RealVar realIntView(IntVar var, double precision) { if (ref().getSettings().enableViews()) { return new RealView(var, precision); } else { double lb = var.getLB(); double ub = var.getUB(); RealVar rv = ref().realVar("(real)" + var.getName(), lb, ub, precision); ref().realIbexGenericConstraint("{0} = {1}", rv, var).post(); return rv; } } /** * Creates an array of real views for a set of integer variables * This should be used to include an integer variable in an expression/constraint requiring RealVar * @param ints the array of integer variables to be viewed as real variables * @param precision double precision (e.g., 0.00001d) * @return a real view of ints */ default RealVar[] realIntViewArray(IntVar[] ints, double precision) { RealVar[] reals = new RealVar[ints.length]; if (ref().getSettings().enableViews()) { for (int i = 0; i < ints.length; i++) { reals[i] = realIntView(ints[i], precision); } } else { for (int i = 0; i < ints.length; i++) { double lb = ints[i].getLB(); double ub = ints[i].getUB(); reals[i] = ref().realVar("(real)" + ints[i].getName(), lb, ub, precision); ref().realIbexGenericConstraint("{0} = {1}", reals[i], ints[i]).post(); } } return reals; } // MATRIX /** * Creates a matrix of real views for a matrix of integer variables * This should be used to include an integer variable in an expression/constraint requiring RealVar * @param ints the matrix of integer variables to be viewed as real variables * @param precision double precision (e.g., 0.00001d) * @return a real view of ints */ default RealVar[][] realIntViewMatrix(IntVar[][] ints, double precision) { RealVar[][] vars = new RealVar[ints.length][ints[0].length]; for (int i = 0; i < ints.length; i++) { vars[i] = realIntViewArray(ints[i], precision); } return vars; } //************************************************************************************* // SET VARIABLES //************************************************************************************* }





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