d4r23.cpp

Visual C++ 常用数值算法集 源代码

#include <iostream.h>
#include <math.h>
#include <iomanip.h>
#include <stdlib.h>
#include <fstream.h>
#include <string>
#include <process.h>

double bessi1(double x)
{
	double p1,p2,p3,p4,p5,p6,p7,q1,q2,q3,q4,q5,q6,q7,q8,q9;
	double y,aaa,bbb,ax,temp;
    p1 = 0.5;              p2 = 0.87890594;
    p3 = 0.51498869;       p4 = 0.15084934;
    p5 = 0.02658733;       p6 = 0.00301532;
    p7 = 0.00032411;
    q1 = 0.39894228;       q2 = -0.03988024;
    q3 = -0.00362018;      q4 = 0.00163801;
    q5 = -0.01031555;      q6 = 0.02282967;
    q7 = -0.02895312;      q8 = 0.01787654;
    q9 = -0.00420059;
    if (fabs(x) < 3.75 )
	{
        y = (x / 3.75) *(x / 3.75) ;
        aaa = y * (p4 + y * (p5 + y * (p6 + y * p7)));
        temp = x * (p1 + y * (p2 + y * (p3 + aaa)));
	}
    else
	{
        ax = fabs(x);
        y = 3.75 / ax;
        aaa = exp(ax) / sqrt(ax);
        bbb = y * (q5 + y * (q6 + y * (q7 + y * (q8 + y * q9))));
        temp = aaa * (q1 + y * (q2 + y * (q3 + y * (q4 + bbb))));
	}
    return temp;
}

double bessk1(double x)
{
	double p1,p2,p3,p4,p5,p6,p7,q1,q2,q3,q4,q5,q6,q7;
	double y,aaa,bbb,ccc,temp; 
    p1 = 1.0;               p2 = 0.15443144;
    p3 = -0.67278579;       p4 = -0.18156897;
    p5 = -0.01919402;       p6 = -0.00110404;
    p7 = -0.00004686;
    q1 = 1.25331414;        q2 = 0.23498619;
    q3 = -0.0365562;        q4 = 0.01504268;
    q5 = -0.00780353;       q6 = 0.00325614;
    q7 = -0.00068245;
    if (x <= 2.0)
	{
        y = x * x / 4;
        aaa = log(x / 2.0) * bessi1(x);
        ccc = y * (p5 + y * (p6 + y * p7));
        bbb = p1 + y * (p2 + y * (p3 + y * (p4 + ccc)));
        temp = aaa + (1.0 / x) * bbb;
	}
    else
	{
        y = (2.0 / x);
        bbb = y * (q5 + y * (q6 + y * q7));
        aaa = q1 + y * (q2 + y * (q3 + y * (q4 + bbb)));
        temp = (exp(-x) / sqrt(x)) * aaa;
	}    
	return temp;
}

void main()
{
    //program d4r23
    //driver for routine bessk1
    int i;
	char text[20];
    double nval,value,x; 
    const double pi = 3.1415926;
    fstream fin;
    fin.open("d:\\vc常用数值算法集\\data\\fncval.dat",ios::in);
    while ( strcmp(text,"K1")!=0 )
	{
      fin>>text;
	}
    fin>>nval; 
    fin>>text;
	cout<<"Modified Bessel Function K1 "<<endl;
    cout<<endl;
    cout<<"    x            actual           bessk1(x)"<<endl;
    for( i = 1; i<=nval; i++)
	{
        fin>>x;
		fin>>value;           
		cout<<setprecision(2)<<setw(6)<<x;
        cout<<setprecision(7)<<setw(18)<<value;
		cout<<setprecision(7)<<setw(19)<<bessk1(x)<<endl;			          
    }
}