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ortools-clone/ortools/sat/samples/StepFunctionSampleSat.cs

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C#

// Copyright 2010-2022 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;
using Google.OrTools.Util;
public class VarArraySolutionPrinter : CpSolverSolutionCallback
{
public VarArraySolutionPrinter(IntVar[] variables)
{
variables_ = variables;
}
public override void OnSolutionCallback()
{
{
foreach (IntVar v in variables_)
{
Console.Write(String.Format("{0}={1} ", v.ToString(), Value(v)));
}
Console.WriteLine();
}
}
private IntVar[] variables_;
}
public class StepFunctionSampleSat
{
static void Main()
{
// Create the CP-SAT model.
CpModel model = new CpModel();
// Declare our primary variable.
IntVar x = model.NewIntVar(0, 20, "x");
// Create the expression variable and implement the step function
// Note it is not defined for var == 2.
//
// - 3
// -- -- --------- 2
// 1
// -- --- 0
// 0 ================ 20
//
IntVar expr = model.NewIntVar(0, 3, "expr");
// expr == 0 on [5, 6] U [8, 10]
ILiteral b0 = model.NewBoolVar("b0");
model.AddLinearExpressionInDomain(x, Domain.FromValues(new long[] { 5, 6, 8, 9, 10 })).OnlyEnforceIf(b0);
model.Add(expr == 0).OnlyEnforceIf(b0);
// expr == 2 on [0, 1] U [3, 4] U [11, 20]
ILiteral b2 = model.NewBoolVar("b2");
model
.AddLinearExpressionInDomain(
x,
Domain.FromIntervals(new long[][] { new long[] { 0, 1 }, new long[] { 3, 4 }, new long[] { 11, 20 } }))
.OnlyEnforceIf(b2);
model.Add(expr == 2).OnlyEnforceIf(b2);
// expr == 3 when x == 7
ILiteral b3 = model.NewBoolVar("b3");
model.Add(x == 7).OnlyEnforceIf(b3);
model.Add(expr == 3).OnlyEnforceIf(b3);
// At least one bi is true. (we could use a sum == 1).
model.AddBoolOr(new ILiteral[] { b0, b2, b3 });
// Search for x values in increasing order.
model.AddDecisionStrategy(new IntVar[] { x }, DecisionStrategyProto.Types.VariableSelectionStrategy.ChooseFirst,
DecisionStrategyProto.Types.DomainReductionStrategy.SelectMinValue);
// Create the solver.
CpSolver solver = new CpSolver();
// Force solver to follow the decision strategy exactly.
// Tells the solver to enumerate all solutions.
solver.StringParameters = "search_branching:FIXED_SEARCH, enumerate_all_solutions:true";
VarArraySolutionPrinter cb = new VarArraySolutionPrinter(new IntVar[] { x, expr });
solver.Solve(model, cb);
}
}