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It s sometimes necessary for a class to have the best performance possible. For some algorithms, it s easy to write a general solution to a problem, but the overhead of the general solution may be undesirable. A custom solution to the problem may be possible but can t be generated ahead of time because the particulars of the problem aren t known until the runtime. In such situations, it may be useful to generate the custom solution at execution time. This technique is often known as self-modifying code.
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This section implements a polynomial evaluator for polynomials in the following form: Y = anxn + + a2x2 + a1x + a0 To get rid of the exponentiation operation, which is slow, you can nicely rearrange the equation into this: Y = a0 + x (a1 + x (a2 + x (an) ) )
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CHAPTER 32 EXECUTION-TIME CODE GENERATION
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The first step in this exercise is to write the simple general solution to the problem. Since several solutions will exist, it will take a few files to build up a framework. The first is a utility class to do timing: using System; namespace Polynomial { class Counter { public static long Frequency { get { long freq = 0; QueryPerformanceFrequency(ref freq); return freq; } } public static long Value { get { long count = 0; QueryPerformanceCounter(ref count); return count; } } [System.Runtime.InteropServices.DllImport("KERNEL32")] private static extern bool QueryPerformanceCounter( ref long lpPerformanceCount); [System.Runtime.InteropServices.DllImport("KERNEL32")] private static extern bool QueryPerformanceFrequency( ref long lpFrequency); } } The Counter class encapsulates the Win32 performance counter functions and can be used to get accurate timings. .NET 2.0 introduces a new class called Stopwatch that wraps the functionality of the Win32 performance counter. If an application requires precise time functionality, and it doesn t require support for older framework versions, you should use Stopwatch over the Counter class. Next, add a helper class to hold the information about Polynomial:
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namespace Polynomial { using System; using PolyInterface; /// <summary> /// The abstract class all implementations inherit from /// </summary> public abstract class Polynomial { public Polynomial(params double[] coefficients) { this.coefficients = new double[coefficients.Length]; for (int i = 0; i < coefficients.Length; i++) this.coefficients[i] = coefficients[i]; } public abstract double Evaluate(double value); public abstract IPolynomial GetEvaluate(); protected double[] coefficients = null; } } The Polynomial class is an abstract class that holds the polynomial coefficients. A small interface defines the evaluation function: namespace PolyInterface { /// <summary> /// The interface that implementations will implement /// </summary> public interface IPolynomial { double Evaluate(double value); } } The following class implements the general method of evaluation: namespace Polynomial { using System; /// <summary> /// The simplest polynomial implementation /// </summary> /// <description> /// This implementation loops through the coefficients and evaluates each
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