ReifiedSampleSat.cs

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// Copyright 2010-2018 Google LLC
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

using System;
using Google.OrTools.Sat;

public class ReifiedSampleSat
{
  static void Main()
  {
    CpModel model = new CpModel();

    IntVar x = model.NewBoolVar("x");
    IntVar y = model.NewBoolVar("y");
    IntVar b = model.NewBoolVar("b");

    //  First version using a half-reified bool and.
    model.AddBoolAnd(new ILiteral[] {x, y.Not()}).OnlyEnforceIf(b);

    // Second version using implications.
    model.AddImplication(b, x);
    model.AddImplication(b, y.Not());

    // Third version using bool or.
    model.AddBoolOr(new ILiteral[] {b.Not(), x});
    model.AddBoolOr(new ILiteral[] {b.Not(), y.Not()});
  }
}