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testlp.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.LinearSolver;
public class CsTestLp
{
static int error_count = 0;
static void Check(bool test, String message)
{
if (!test)
{
Console.WriteLine("Error: " + message);
error_count++;
}
}
static void CheckDoubleEq(double v1, double v2, String message)
{
if (v1 != v2)
{
Console.WriteLine("Error: " + v1 + " != " + v2 + " " + message);
error_count++;
}
}
static void TestVarOperator()
{
Console.WriteLine("Running TestVarOperator");
Solver solver = new Solver("TestVarOperator",
Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable x = solver.MakeNumVar(0.0, 100.0, "x");
Constraint ct1 = solver.Add(x >= 1);
Constraint ct2 = solver.Add(x <= 1);
Constraint ct3 = solver.Add(x == 1);
Constraint ct4 = solver.Add(1 >= x);
Constraint ct5 = solver.Add(1 <= x);
Constraint ct6 = solver.Add(1 == x);
CheckDoubleEq(ct1.GetCoefficient(x), 1.0, "test1");
CheckDoubleEq(ct2.GetCoefficient(x), 1.0, "test2");
CheckDoubleEq(ct3.GetCoefficient(x), 1.0, "test3");
CheckDoubleEq(ct4.GetCoefficient(x), 1.0, "test4");
CheckDoubleEq(ct5.GetCoefficient(x), 1.0, "test5");
CheckDoubleEq(ct6.GetCoefficient(x), 1.0, "test6");
CheckDoubleEq(ct1.Lb(), 1.0, "test7");
CheckDoubleEq(ct1.Ub(), double.PositiveInfinity, "test8");
CheckDoubleEq(ct2.Lb(), double.NegativeInfinity, "test9");
CheckDoubleEq(ct2.Ub(), 1.0, "test10");
CheckDoubleEq(ct3.Lb(), 1.0, "test11");
CheckDoubleEq(ct3.Ub(), 1.0, "test12");
CheckDoubleEq(ct4.Lb(), double.NegativeInfinity, "test13");
CheckDoubleEq(ct4.Ub(), 1.0, "test14");
CheckDoubleEq(ct5.Lb(), 1.0, "test15");
CheckDoubleEq(ct5.Ub(), double.PositiveInfinity, "test16");
CheckDoubleEq(ct6.Lb(), 1.0, "test17");
CheckDoubleEq(ct6.Ub(), 1.0, "test18");
}
static void TestVarAddition()
{
Console.WriteLine("Running TestVarAddition");
Solver solver = new Solver("TestVarAddition",
Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable x = solver.MakeNumVar(0.0, 100.0, "x");
Variable y = solver.MakeNumVar(0.0, 100.0, "y");
Constraint ct1 = solver.Add(x + y == 1);
CheckDoubleEq(ct1.GetCoefficient(x), 1.0, "test1");
CheckDoubleEq(ct1.GetCoefficient(y), 1.0, "test2");
Constraint ct2 = solver.Add(x + x == 1);
CheckDoubleEq(ct2.GetCoefficient(x), 2.0, "test3");
Constraint ct3 = solver.Add(x + (y + x) == 1);
CheckDoubleEq(ct3.GetCoefficient(x), 2.0, "test4");
CheckDoubleEq(ct3.GetCoefficient(y), 1.0, "test5");
Constraint ct4 = solver.Add(x + (y + x + 3) == 1);
CheckDoubleEq(ct4.GetCoefficient(x), 2.0, "test4");
CheckDoubleEq(ct4.GetCoefficient(y), 1.0, "test5");
CheckDoubleEq(ct4.Lb(), -2.0, "test6");
CheckDoubleEq(ct4.Ub(), -2.0, "test7");
}
static void TestVarMultiplication()
{
Console.WriteLine("Running TestVarMultiplication");
Solver solver = new Solver("TestVarMultiplication",
Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable x = solver.MakeNumVar(0.0, 100.0, "x");
Variable y = solver.MakeNumVar(0.0, 100.0, "y");
Constraint ct1 = solver.Add(3 * x == 1);
CheckDoubleEq(ct1.GetCoefficient(x), 3.0, "test1");
Constraint ct2 = solver.Add(x * 3 == 1);
CheckDoubleEq(ct2.GetCoefficient(x), 3.0, "test2");
Constraint ct3 = solver.Add(x + (2 * y + 3 * x) == 1);
CheckDoubleEq(ct3.GetCoefficient(x), 4.0, "test3");
CheckDoubleEq(ct3.GetCoefficient(y), 2.0, "test4");
Constraint ct4 = solver.Add(x + 5 * (y + x + 3) == 1);
CheckDoubleEq(ct4.GetCoefficient(x), 6.0, "test5");
CheckDoubleEq(ct4.GetCoefficient(y), 5.0, "test6");
CheckDoubleEq(ct4.Lb(), -14.0, "test7");
CheckDoubleEq(ct4.Ub(), -14.0, "test8");
Constraint ct5 = solver.Add(x + (2 * y + x + 3) * 3 == 1);
CheckDoubleEq(ct5.GetCoefficient(x), 4.0, "test9");
CheckDoubleEq(ct5.GetCoefficient(y), 6.0, "test10");
CheckDoubleEq(ct5.Lb(), -8.0, "test11");
CheckDoubleEq(ct5.Ub(), -8.0, "test12");
}
static void TestBinaryOperations()
{
Console.WriteLine("Running TestBinaryOperations");
Solver solver = new Solver("TestBinaryOperations",
Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable x = solver.MakeNumVar(0.0, 100.0, "x");
Variable y = solver.MakeNumVar(0.0, 100.0, "y");
Constraint ct1 = solver.Add(x == y);
CheckDoubleEq(ct1.GetCoefficient(x), 1.0, "test1");
CheckDoubleEq(ct1.GetCoefficient(y), -1.0, "test2");
Constraint ct2 = solver.Add(x == 3 * y + 5);
CheckDoubleEq(ct2.GetCoefficient(x), 1.0, "test3");
CheckDoubleEq(ct2.GetCoefficient(y), -3.0, "test4");
CheckDoubleEq(ct2.Lb(), 5.0, "test5");
CheckDoubleEq(ct2.Ub(), 5.0, "test6");
Constraint ct3 = solver.Add(2 * x - 9 == y);
CheckDoubleEq(ct3.GetCoefficient(x), 2.0, "test7");
CheckDoubleEq(ct3.GetCoefficient(y), -1.0, "test8");
CheckDoubleEq(ct3.Lb(), 9.0, "test9");
CheckDoubleEq(ct3.Ub(), 9.0, "test10");
Check(x == x, "test11");
Check(!(x == y), "test12");
Check(!(x != x), "test13");
Check((x != y), "test14");
}
static void TestInequalities()
{
Console.WriteLine("Running TestInequalities");
Solver solver = new Solver("TestInequalities",
Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable x = solver.MakeNumVar(0.0, 100.0, "x");
Variable y = solver.MakeNumVar(0.0, 100.0, "y");
Constraint ct1 = solver.Add(2 * (x + 3) + 5 * (y + x -1) >= 3);
CheckDoubleEq(ct1.GetCoefficient(x), 7.0, "test1");
CheckDoubleEq(ct1.GetCoefficient(y), 5.0, "test2");
CheckDoubleEq(ct1.Lb(), 2.0, "test3");
CheckDoubleEq(ct1.Ub(), double.PositiveInfinity, "test4");
Constraint ct2 = solver.Add(2 * (x + 3) + 5 * (y + x -1) <= 3);
CheckDoubleEq(ct2.GetCoefficient(x), 7.0, "test5");
CheckDoubleEq(ct2.GetCoefficient(y), 5.0, "test6");
CheckDoubleEq(ct2.Lb(), double.NegativeInfinity, "test7");
CheckDoubleEq(ct2.Ub(), 2.0, "test8");
Constraint ct3 = solver.Add(2 * (x + 3) + 5 * (y + x -1) >= 3 - x - y);
CheckDoubleEq(ct3.GetCoefficient(x), 8.0, "test9");
CheckDoubleEq(ct3.GetCoefficient(y), 6.0, "test10");
CheckDoubleEq(ct3.Lb(), 2.0, "test11");
CheckDoubleEq(ct3.Ub(), double.PositiveInfinity, "test12");
Constraint ct4 = solver.Add(2 * (x + 3) + 5 * (y + x -1) <= -x - y + 3);
CheckDoubleEq(ct4.GetCoefficient(x), 8.0, "test13");
CheckDoubleEq(ct4.GetCoefficient(y), 6.0, "test14");
CheckDoubleEq(ct4.Lb(), double.NegativeInfinity, "test15");
CheckDoubleEq(ct4.Ub(), 2.0, "test16");
}
static void TestSumArray()
{
Console.WriteLine("Running TestSumArray");
Solver solver = new Solver("TestSumArray", Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable[] x = solver.MakeBoolVarArray(10, "x");
Constraint ct1 = solver.Add(x.Sum() == 3);
CheckDoubleEq(ct1.GetCoefficient(x[0]), 1.0, "test1");
Constraint ct2 = solver.Add(-2 * x.Sum() == 3);
CheckDoubleEq(ct2.GetCoefficient(x[0]), -2.0, "test2");
LinearExpr[] array = new LinearExpr[] { x[0]+ 2.0, x[0] + 3, x[0] + 4 };
Constraint ct3 = solver.Add(array.Sum() == 1);
CheckDoubleEq(ct3.GetCoefficient(x[0]), 3.0, "test3");
CheckDoubleEq(ct3.Lb(), -8.0, "test4");
CheckDoubleEq(ct3.Ub(), -8.0, "test5");
}
static void TestObjective()
{
Console.WriteLine("Running TestObjective");
Solver solver = new Solver("TestObjective", Solver.OptimizationProblemType.CLP_LINEAR_PROGRAMMING);
Variable x = solver.MakeNumVar(0.0, 100.0, "x");
Variable y = solver.MakeNumVar(0.0, 100.0, "y");
solver.Maximize(x);
CheckDoubleEq(0.0, solver.Objective().Offset(), "test1");
CheckDoubleEq(1.0, solver.Objective().GetCoefficient(x), "test2");
Check(solver.Objective().Maximization(), "test3");
solver.Minimize(-x - 2 * y + 3);
CheckDoubleEq(3.0, solver.Objective().Offset(), "test4");
CheckDoubleEq(-1.0, solver.Objective().GetCoefficient(x), "test5");
CheckDoubleEq(-2.0, solver.Objective().GetCoefficient(y), "test6");
Check(solver.Objective().Minimization(), "test7");
}
static void Main()
{
TestVarOperator();
TestVarAddition();
TestVarMultiplication();
TestBinaryOperations();
TestInequalities();
TestSumArray();
TestObjective();
if (error_count != 0) {
Console.WriteLine("Found " + error_count + " errors.");
Environment.Exit(1);
}
}
}