integral.h

C++实现的数值分析源程序

//警告：如未了解源程序结构，不得轻易修改本文件的内容！
//名称：Integral.h
//类实现文件：Integral.cpp
//作用：一般积分法、复化积分法、变步长梯形积分法类定义文件
//内容：1、一般积分法类
//         保护函数：static double Function_T(double);
//                   static double Function_S(double);
//                   static double Function_NC(double);
//         执行函数：static double Trapezoid(double,double);
//                   static double Simpson(double,double);
//                   static double Newton_Cotes(double,double);
//      2、复化积分法类(继承自一般积分法类)
//         执行函数：static double ComplexTrapezoid(double,double,int);
//                   static double ComplexSimpson(double,double,int);
//                   static double ComplexNewton_Cotes(double,double,int);
//      3、变步长梯形积分法类(继承自复化积分法类)
//         执行函数：static double AltIncrementTrapezoid(double,double,double);
//梁霄(C) 11/27/2005
#include<iostream.h>
#include<math.h>
class CommonIntegral
{
public:
	static double Trapezoid(double,double);
	static double Simpson(double,double);
	static double Newton_Cotes(double,double);
protected:
	static double Function_T(double);
	static double Function_S(double);
	static double Function_NC(double);
};
//复化机械求积
class ComplexIntegral:public CommonIntegral
{
public:
	static double ComplexTrapezoid(double,double,int);
	static double ComplexSimpson(double,double,int);
	static double ComplexNewton_Cotes(double,double,int);
};
//变步长梯形机械求积
class AltIncrementIntegral:public ComplexIntegral
{
public:
	static double AltIncrementTrapezoid(double,double,double);
};