Extreme Optimization > Mathematics Library for .NET > QuickStart Samples > FunctionDelegates QuickStart Sample (C#)

Extreme Optimization Mathematics Library for .NET

FunctionDelegates QuickStart Sample (C#)

Illustrates the use of function delegates (Extreme.Mathematics namespace) in C#.

VB.NET code Back to QuickStart Samples

using System;

namespace Extreme.Mathematics.QuickStart.CSharp
{
    // The DoubleComplex structure resides in the Extreme namespace.
    using Extreme;
    // The delegate classes reside in the Extreme.Mathematics 
    // namespace.
    using Extreme.Mathematics;
    // We also use the Extreme.Mathematics.SpecialFunctions namespace.
    using Extreme.Mathematics.SpecialFunctions;

    /// <summary>
    /// Illustrates the use of function delegates in the 
    /// Extreme.Mathematics namespace of the Extreme Optimization 
    /// Mathematics Library for .NET.
    /// </summary>
    class FunctionDelegates
    {
        /// <summary>
        /// The main entry point for the application.
        /// </summary>
        [STAThread]
        static void Main(string[] args)
        {
            // Delegates are used throughout the Extreme 
            // Optimization Mathematics Library for .NET
            // in places where a mathematical function must be 
            // passed as an argument.

            //
            // The RealFunction delegate
            //

            // This delegate represents a function of one real
            // variable that returns a real number. Many static 
            // methods in the System.Math class fall in this
            // category, such as the cosine function:
            RealFunction cos = 
                new RealFunction(Math.Cos);
            // Many static methods in the Extreme.Mathematics.SpecialFunctions
            // classes are also of this form:
            RealFunction gamma = 
                new RealFunction(GammaFunctions.Gamma);

            // You can call delegates just like they were
            // methods:
            Console.WriteLine("Cos(1) = {0}", cos(1));
            Console.WriteLine("Gamma(1.5) = {0}", gamma(1.5));

            //
            // Other function delegates
            //

            // A BivariateRealFunction represents a
            // function that takes two real arguments and returns
            // a real number. An example is the Atan2 method
            // of System.Math:
            BivariateRealFunction atan2 =
                new BivariateRealFunction(Math.Atan2);
            Console.WriteLine("Atan2(1, 3) = {0}", atan2(1, 3));
            // Or the Hypot method from SpecialFunctions.Elementary:
            BivariateRealFunction hypot =
                new BivariateRealFunction(
                    ElementaryFunctions.Hypot);
            Console.WriteLine("Hypot(3, 4) = {0}", hypot(3, 4));

            // A TrivariateRealFunction represents a
            // function that takes three  real arguments and returns
            // a real number. An example is the 
            // Incomplete Beta function, implemented by the
            // of the IncompleteBeta method of the GammaFunctions
            // class in Extreme.Mathematics.SpecialFunctions:
            TrivariateRealFunction incompleteBeta =
                new TrivariateRealFunction(
                    GammaFunctions.IncompleteBeta);
            Console.WriteLine("Incomplete Beta(1, 3, 0.3) = {0}",
                incompleteBeta(1, 3, 0.3));

            // A ComplexFunction represents a function
            // taking a complex argument and returning a 
            // complex number.
            ComplexFunction complexCosh = 
                new ComplexFunction(DoubleComplex.Cosh);
            DoubleComplex z = new DoubleComplex(1, 1);
            Console.WriteLine("cosh({0}) = {1}", z, complexCosh(z));

            // A ParameterizedRealFunction represents 
            // a function taking one integer and one real 
            // argument that returns a real argument. An example
            // is the Elementary.Pow method in the
            // Extreme.Mathematics.SpecialFunctions namespace. However,
            // the arguments are in the wrong order, so we
            // need a helper function for this one. The Power 
            // method is defined below.
            ParameterizedRealFunction power = 
                new ParameterizedRealFunction(Power);
            Console.WriteLine("2^5 = {0}", power(5, 2));

            // Finally, there are two more function delegates.
            // Their operation is entirely analogous to the
            // examples above.
            // 
            // MultivariateRealFunction returns a real
            // number and takes a Vector (Extreme.Mathematics.LinearAlgebra
            // namespace) as its argument.
            // 
            // MultivariateVectorFunction returns a 
            // Vector and takes a Vector as its argument.

            //
            // The FunctionFactory class
            //

            // Sometimes, we need a delegate that is a special
            // case of another delegate. We can call static methods
            // of the FunctionFactory class to accomplish
            // this.
            // We can fix one of the arguments of a
            // BivariateRealFunction function delegate.
            // The second argument is the value of the fixed
            // argument. The last parameter is the zero-based
            // index of the argument that will be fixed:
            RealFunction hypotWithX4 =
                FunctionFactory.RealFromBivariateRealFunction(
                hypot, 4, 0);
            Console.WriteLine("hypot(4, 3) = {0}", hypotWithX4(3));

            // We can also fix the integer argument of a
            // ParameterizedRealFunction:
            RealFunction seventhPower =
                FunctionFactory.RealFromParameterizedRealFunction(
                    power, 7);
            Console.WriteLine("3^7 = {0}", seventhPower(3));

            Console.Write("Press Enter key to exit...");
            Console.ReadLine();
        }

        static double Power(int exponent, double x)
        {
            return ElementaryFunctions.Pow(x, exponent);
        }
    }
}

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