public void FindRootTest1() { Func<double, double> polynomial = x => (x - 1)*(x - 10)*(x - 18); Func<double, double> computeDerivative = x => 3 * x * x - 58 * x + 208; NewtonRaphsonMethodD rootFinder = new NewtonRaphsonMethodD(polynomial, computeDerivative); rootFinder.EpsilonX = Numeric.EpsilonD / 100; double xRoot = rootFinder.FindRoot(0, 2); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(4, 10); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(10, 4); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(10, 12); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(2, 0); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(0, 3); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(3, 0); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(-6, 2); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(-1, 1); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(-1, 1); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(0.9, 9.9); Assert.IsTrue(double.IsNaN(xRoot)); // Here Newton fails because it jumps out of the brackets. Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(2, 3); Assert.IsTrue(double.IsNaN(xRoot)); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(3, 2); Assert.IsTrue(double.IsNaN(xRoot)); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); rootFinder.MaxNumberOfIterations = 1; xRoot = rootFinder.FindRoot(0, 1000); Assert.IsTrue(double.IsNaN(xRoot)); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); }
public void FindRootTest1() { Func <double, double> polynomial = x => (x - 1) * (x - 10) * (x - 18); Func <double, double> computeDerivative = x => 3 * x * x - 58 * x + 208; NewtonRaphsonMethodD rootFinder = new NewtonRaphsonMethodD(polynomial, computeDerivative); rootFinder.EpsilonX = Numeric.EpsilonD / 100; double xRoot = rootFinder.FindRoot(0, 2); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(4, 10); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(10, 4); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(10, 12); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(2, 0); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(0, 3); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(3, 0); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(-6, 2); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(-1, 1); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(-1, 1); Assert.IsTrue(Numeric.AreEqual(0, polynomial(xRoot))); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(0.9, 9.9); Assert.IsTrue(double.IsNaN(xRoot)); // Here Newton fails because it jumps out of the brackets. Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(2, 3); Assert.IsTrue(double.IsNaN(xRoot)); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); xRoot = rootFinder.FindRoot(3, 2); Assert.IsTrue(double.IsNaN(xRoot)); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); rootFinder.MaxNumberOfIterations = 1; xRoot = rootFinder.FindRoot(0, 1000); Assert.IsTrue(double.IsNaN(xRoot)); Console.WriteLine("NumberOfIterations: {0}", rootFinder.NumberOfIterations); }