source: branches/2974_Constants_Optimization/UnitTests/ConstantsOptimizationTests.cs @ 16591

#region License Information
/* HeuristicLab
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#endregion

using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
using HeuristicLab.Problems.DataAnalysis;
using HeuristicLab.Problems.DataAnalysis.Symbolic;
using HeuristicLab.Problems.DataAnalysis.Symbolic.ConstantsOptimization;
using HeuristicLab.Problems.DataAnalysis.Symbolic.Regression;


using HeuristicLab.Problems.Instances.DataAnalysis;
using Microsoft.VisualStudio.TestTools.UnitTesting;

namespace UnitTests {
  [TestClass]
  public class ConstantsOptimizationTests {
    private static readonly int seed = 1234;


    public static void CompareConstantsOptimizationResults(IRegressionProblemData problemData, ISymbolicExpressionTree tree) {
      var applyLinearScaling = true;
      var old_optimizedTree = (ISymbolicExpressionTree)tree.Clone();
      var old_result = SymbolicRegressionConstantOptimizationEvaluator.OptimizeConstants(
        new SymbolicDataAnalysisExpressionTreeLinearInterpreter(),
        old_optimizedTree, problemData, problemData.TrainingIndices, applyLinearScaling, maxIterations: 10);


      var new_optimizedTree = (ISymbolicExpressionTree)tree.Clone();
      var new_result = LMConstantsOptimizer.OptimizeConstants(new_optimizedTree, problemData.Dataset, problemData.TargetVariable, problemData.TrainingIndices, applyLinearScaling, maxIterations: 10);

      //check R² values
      //Assert.AreEqual(old_result, new_result);

      //check numeric values of constants
      var old_constants = Util.ExtractConstants(old_optimizedTree, applyLinearScaling);
      var new_constants = Util.ExtractConstants(new_optimizedTree, applyLinearScaling);
      //Assert.IsTrue(old_constants.SequenceEqual(new_constants));

      for (int i = 0; i < old_constants.Length; i++) {
        Assert.AreEqual(old_constants[i], new_constants[i], 0.00000001);
      }
    }



    [TestMethod]
    [TestCategory("Problems.DataAnalysis.Symbolic.Regression")]
    [TestProperty("Time", "short")]
    public void ConstantsOptimizationTest_Nguyen01() {
      var problemData = new NguyenFunctionOne(seed).GenerateRegressionData();
      var modelTemplate = "({0})* CUBE(X) + ({1}) * SQR(X) + ({2}) * X";

      string modelString;
      object[] constants;
      ISymbolicExpressionTree modelTree;

      constants = new object[] { 1.0, 2.0, 3.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 5.0, -2.0, 500.362 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { -6987.25, 1, -888 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);
    }

    [TestMethod]
    [TestCategory("Problems.DataAnalysis.Symbolic.Regression")]
    [TestProperty("Time", "short")]
    public void ConstantsOptimizationTest_Nguyen03() {
      var problemData = new NguyenFunctionThree(seed).GenerateRegressionData();
      var modelTemplate = "({0})* X*X*X*X*X + ({1}) * X*X*X*X + ({2}) * X*X*X + ({3}) * X*X + ({4}) * X + {5}";

      string modelString;
      object[] constants;
      ISymbolicExpressionTree modelTree;

      constants = new object[] { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 5.0, -2.0, 500.362, -5646, 0.0001, 1234 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { -6987.25, 1, -888, +888, -1, 6987.25, 0, 25 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);
    }

    [TestMethod]
    [TestCategory("Problems.DataAnalysis.Symbolic.Regression")]
    [TestProperty("Time", "short")]
    public void ConstantsOptimizationTest_Nguyen05() {
      var problemData = new NguyenFunctionFive(seed).GenerateRegressionData();
      var modelTemplate = "({0}) * SIN(({1})*X*X) * COS(({2})*X) + ({3})";

      string modelString;
      object[] constants;
      ISymbolicExpressionTree modelTree;

      constants = new object[] { 1.0, 2.0, 3.0, 4.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 5.0, -2.0, -3.0, 5.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 0.5, 1, 1, 3 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);
    }

    [TestMethod]
    [TestCategory("Problems.DataAnalysis.Symbolic.Regression")]
    [TestProperty("Time", "short")]
    public void ConstantsOptimizationTest_Nguyen07() {
      var problemData = new NguyenFunctionFive(seed).GenerateRegressionData();
      var modelTemplate = "({0}) * LOG(({1})*X + ({2})) + ({3}) * LOG(({4})*X*X + ({5})) + ({6})";

      string modelString;
      object[] constants;
      ISymbolicExpressionTree modelTree;

      constants = new object[] { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 5.0, 2.0, 500.362, -5646, 0.0001, 1234, 421 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { -6987.25, 1, 888, +888, -1, 6987.25, 0, 25 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);
    }

    [TestMethod]
    [TestCategory("Problems.DataAnalysis.Symbolic.Regression")]
    [TestProperty("Time", "short")]
    public void ConstantsOptimizationTest_Nguyen08() {
      var problemData = new NguyenFunctionEight(seed).GenerateRegressionData();
      var modelTemplate = "({0})* SQRT(({1}) * X) + ({2})";

      string modelString;
      object[] constants;
      ISymbolicExpressionTree modelTree;

      constants = new object[] { 1.0, 2.0, 3.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 5.0, 20.0, -500.362 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { -6987.25, 1, -888 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);
    }

    [TestMethod]
    [TestCategory("Problems.DataAnalysis.Symbolic.Regression")]
    [TestProperty("Time", "short")]
    public void ConstantsOptimizationTest_Keijzer05() {
      var problemData = new KeijzerFunctionFive(seed).GenerateRegressionData();
      var modelTemplate = "( ({0}) * X * Z ) / ( (({1}) * X + ({2})) * ({3}) * SQR(Y) ) + ({4})";

      string modelString;
      object[] constants;
      ISymbolicExpressionTree modelTree;

      constants = new object[] { 1.0, 2.0, 3.0, 4.0, 5.0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { 5.0, -2.0, 500.362, -5646, 0.0001 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);

      constants = new object[] { -6987.25, 1, -888, +888, -1, 6987.25, 0 };
      modelString = string.Format(modelTemplate, constants);
      modelTree = new InfixExpressionParser().Parse(modelString);
      CompareConstantsOptimizationResults(problemData, modelTree);
    }
  }
}