269 lines
9.9 KiB
C#
269 lines
9.9 KiB
C#
using System;
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using Xunit;
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using Google.OrTools.Sat;
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namespace Google.OrTools.Tests {
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public class SatSolverTest {
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static IntegerVariableProto NewIntegerVariable(long lb, long ub) {
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IntegerVariableProto var = new IntegerVariableProto();
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var.Domain.Add(lb);
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var.Domain.Add(ub);
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return var;
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}
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static ConstraintProto NewLinear2(
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int v1, int v2,
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long c1, long c2,
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long lb, long ub) {
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LinearConstraintProto linear = new LinearConstraintProto();
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linear.Vars.Add(v1);
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linear.Vars.Add(v2);
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linear.Coeffs.Add(c1);
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linear.Coeffs.Add(c2);
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linear.Domain.Add(lb);
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linear.Domain.Add(ub);
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ConstraintProto ct = new ConstraintProto();
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ct.Linear = linear;
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return ct;
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}
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static ConstraintProto NewLinear3(
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int v1, int v2, int v3,
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long c1, long c2, long c3,
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long lb, long ub) {
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LinearConstraintProto linear = new LinearConstraintProto();
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linear.Vars.Add(v1);
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linear.Vars.Add(v2);
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linear.Vars.Add(v3);
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linear.Coeffs.Add(c1);
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linear.Coeffs.Add(c2);
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linear.Coeffs.Add(c3);
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linear.Domain.Add(lb);
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linear.Domain.Add(ub);
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ConstraintProto ct = new ConstraintProto();
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ct.Linear = linear;
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return ct;
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}
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static CpObjectiveProto NewMinimize1(int v1, long c1) {
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CpObjectiveProto obj = new CpObjectiveProto();
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obj.Vars.Add(v1);
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obj.Coeffs.Add(c1);
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return obj;
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}
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static CpObjectiveProto NewMaximize1(int v1, long c1) {
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CpObjectiveProto obj = new CpObjectiveProto();
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obj.Vars.Add(-v1 - 1);
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obj.Coeffs.Add(c1);
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obj.ScalingFactor = -1;
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return obj;
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}
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static CpObjectiveProto NewMaximize2(int v1, int v2, long c1, long c2) {
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CpObjectiveProto obj = new CpObjectiveProto();
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obj.Vars.Add(-v1 - 1);
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obj.Vars.Add(-v2 - 1);
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obj.Coeffs.Add(c1);
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obj.Coeffs.Add(c2);
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obj.ScalingFactor = -1;
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return obj;
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}
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// CpModelProto
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[Fact]
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public void SimpleLinearModelProto() {
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CpModelProto model = new CpModelProto();
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model.Variables.Add(NewIntegerVariable(-10, 10));
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model.Variables.Add(NewIntegerVariable(-10, 10));
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model.Variables.Add(NewIntegerVariable(-1000000, 1000000));
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model.Constraints.Add(NewLinear2(0, 1 , 1, 1, -1000000, 100000));
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model.Constraints.Add(NewLinear3(0, 1, 2, 1, 2, -1, 0, 100000));
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model.Objective = NewMaximize1(2, 1);
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//Console.WriteLine("model = " + model.ToString());
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CpSolverResponse response = SatHelper.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, response.Status);
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Assert.Equal(30, response.ObjectiveValue);
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Assert.Equal(new long[] {10, 10, 30}, response.Solution);
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//Console.WriteLine("response = " + response.ToString());
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}
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[Fact]
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public void SimpleLinearModelProto2() {
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CpModelProto model = new CpModelProto();
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model.Variables.Add(NewIntegerVariable(-10, 10));
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model.Variables.Add(NewIntegerVariable(-10, 10));
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model.Constraints.Add(NewLinear2(0, 1 , 1, 1, -1000000, 100000));
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model.Objective = NewMaximize2(0, 1, 1, -2);
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//Console.WriteLine("model = " + model.ToString());
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CpSolverResponse response = SatHelper.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, response.Status);
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Assert.Equal(30, response.ObjectiveValue);
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Assert.Equal(new long[] {10, -10}, response.Solution);
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//Console.WriteLine("response = " + response.ToString());
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}
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// CpModel
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[Fact]
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public void SimpleLinearModel() {
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CpModel model = new CpModel();
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IntVar v1 = model.NewIntVar(-10, 10, "v1");
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IntVar v2 = model.NewIntVar(-10, 10, "v2");
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IntVar v3 = model.NewIntVar(-100000, 100000, "v3");
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model.AddLinearConstraint(v1 + v2, -1000000, 100000);
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model.AddLinearConstraint(v1 + 2 * v2 - v3, 0, 100000);
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model.Maximize(v3);
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//Console.WriteLine("model = " + model.Model.ToString());
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(30, response.ObjectiveValue);
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Assert.Equal(new long[] {10, 10, 30}, response.Solution);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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[Fact]
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public void SimpleLinearModel2() {
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CpModel model = new CpModel();
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IntVar v1 = model.NewIntVar(-10, 10, "v1");
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IntVar v2 = model.NewIntVar(-10, 10, "v2");
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model.AddLinearConstraint(v1 + v2, -1000000, 100000);
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model.Maximize(v1 - 2 * v2);
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//Console.WriteLine("model = " + model.Model.ToString());
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(30, response.ObjectiveValue);
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Assert.Equal(new long[] {10, -10}, response.Solution);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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[Fact]
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public void SimpleLinearModel3() {
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CpModel model = new CpModel();
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IntVar v1 = model.NewIntVar(-10, 10, "v1");
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IntVar v2 = model.NewIntVar(-10, 10, "v2");
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model.Add(-100000 <= v1 + 2 * v2 <= 100000);
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model.Minimize(v1 - 2 * v2);
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//Console.WriteLine("model = " + model.Model.ToString());
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(-10, solver.Value(v1));
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Assert.Equal(10, solver.Value(v2));
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Assert.Equal(new long[] {-10, 10}, response.Solution);
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Assert.Equal(-30, solver.Value(v1 - 2 * v2));
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Assert.Equal(-30, response.ObjectiveValue);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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[Fact]
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public void NegativeIntVar() {
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CpModel model = new CpModel();
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IntVar boolvar = model.NewBoolVar("boolvar");
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IntVar x = model.NewIntVar(0,10, "x");
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IntVar delta = model.NewIntVar(-5, 5,"delta");
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IntVar squaredDelta = model.NewIntVar(0, 25,"squaredDelta");
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model.Add(x == boolvar * 4);
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model.Add(delta == x - 5 );
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model.AddProdEquality(squaredDelta, new IntVar[] {delta, delta});
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model.Minimize(squaredDelta);
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//Console.WriteLine("model = " + model.Model.ToString());
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(1, solver.Value(boolvar));
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Assert.Equal(4, solver.Value(x));
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Assert.Equal(-1, solver.Value(delta));
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Assert.Equal(1, solver.Value(squaredDelta));
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Assert.Equal(new long[] {1, 4, -1, 1}, response.Solution);
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Assert.Equal(1, response.ObjectiveValue);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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[Fact]
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public void NegativeSquareVar() {
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CpModel model = new CpModel();
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IntVar boolvar = model.NewBoolVar("boolvar");
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IntVar x = model.NewIntVar(0,10, "x");
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IntVar delta = model.NewIntVar(-5, 5,"delta");
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IntVar squaredDelta = model.NewIntVar(0, 25,"squaredDelta");
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model.Add(x == 4).OnlyEnforceIf(boolvar);
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model.Add(x == 0).OnlyEnforceIf(boolvar.Not());
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model.Add(delta == x - 5 );
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long[,] tuples = { {-5, 25}, {-4, 16}, {-3, 9}, {-2, 4}, {-1, 1}, {0, 0},
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{1, 1}, {2, 4}, {3, 9}, {4, 16}, {5, 25} };
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model.AddAllowedAssignments(new IntVar[] {delta, squaredDelta}, tuples);
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model.Minimize(squaredDelta);
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//Console.WriteLine("model = " + model.Model.ToString());
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Optimal, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(1, solver.Value(boolvar));
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Assert.Equal(4, solver.Value(x));
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Assert.Equal(-1, solver.Value(delta));
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Assert.Equal(1, solver.Value(squaredDelta));
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Assert.Equal(new long[] {1, 4, -1, 1}, response.Solution);
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Assert.Equal(1, response.ObjectiveValue);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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[Fact]
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public void Division() {
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CpModel model = new CpModel();
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IntVar v1 = model.NewIntVar(0, 10, "v1");
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IntVar v2 = model.NewIntVar(1, 10, "v2");
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model.AddDivisionEquality(3, v1, v2);
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//Console.WriteLine(model.Model);
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Feasible, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(3, solver.Value(v1));
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Assert.Equal(1, solver.Value(v2));
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Assert.Equal(new long[] {3, 1, 3}, response.Solution);
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Assert.Equal(0, response.ObjectiveValue);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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[Fact]
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public void Modulo() {
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CpModel model = new CpModel();
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IntVar v1 = model.NewIntVar(1, 10, "v1");
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IntVar v2 = model.NewIntVar(1, 10, "v2");
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model.AddModuloEquality(3, v1, v2);
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//Console.WriteLine(model.Model);
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CpSolver solver = new CpSolver();
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CpSolverStatus status = solver.Solve(model);
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Assert.Equal(CpSolverStatus.Feasible, status);
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CpSolverResponse response = solver.Response;
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Assert.Equal(3, solver.Value(v1));
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Assert.Equal(4, solver.Value(v2));
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Assert.Equal(new long[] {3, 4, 3}, response.Solution);
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Assert.Equal(0, response.ObjectiveValue);
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//Console.WriteLine("response = " + reponse.ToString());
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}
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}
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} // namespace Google.OrTools.Tests
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