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39
archive/grav2d_vectical_cylinder/archive/ffts.cpp
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39
archive/grav2d_vectical_cylinder/archive/ffts.cpp
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#include "iostream"
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#include "iomanip"
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#include "string.h"
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#include "cmath"
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using namespace std;
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double func(double x)//积分函数
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{
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return pow(x,2);
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}
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double integration (double a,double b,double eps)//执行变步长梯形求积法
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{
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int n,k;
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double fa,fb,h,t1,p,s,x,t;
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fa=func (a); fb=func (b);
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n=1; h=b-a;
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t1=h*(fa+fb)/2.0;
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p=eps+1.0;
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while (p>=eps)
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{
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s=0.0;
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for (k=0;k<=n-1;k++)
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{
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x=a+(k+0.5)*h;
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s=s+func (x);
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}
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t=(t1+h*s)/2.0;
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p=fabs(t1-t);
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t1=t; n=n+n; h=h/2.0;
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}
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return t;
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}
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int main(int argc, char const *argv[])
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{
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cout<<integration(0,1,0.000001)<<endl;
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return 0;
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}
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131
archive/grav2d_vectical_cylinder/archive/main.cpp
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131
archive/grav2d_vectical_cylinder/archive/main.cpp
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#include <iostream>
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#include <stdio.h>
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#include <iomanip>
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#include <cmath>
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#include <fstream>
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using namespace std;
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FILE *fout;
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const double G=6.67191e-6; //万有引力常数
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double density=2e+3; //密度(千克每立方米)
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const double PI=3.1415926535897932;
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double R=20; //圆柱体半径
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double h=10; //圆柱体上顶埋深
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double H=60; //圆柱体下底埋深
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double x1,x2,y3,y2; //计算区域横坐标起始位置
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double d; //计算区域网格间距
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double x,y,X,l,M,N,L; //横,纵坐标,异常值
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double Xo,Yo;
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class ffts
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{
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private:
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double a, b, eps, integ;
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public:
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ffts (double aa, double bb, double es)//顺序提供a,b,eps值的构造函数
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{ a = aa; b = bb; eps = es; }
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void integration (); //执行变步长梯形求积法
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void output (); //输出积分值到文件并显示
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double func (double); //计算被积函数值
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};
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void ffts::integration () //执行变步长梯形求积法
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{
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int n,k;
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double fa,fb,h,t1,p,s,x,t;
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fa=func (a); fb=func (b);
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n=1; h=b-a;
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t1=h*(fa+fb)/2.0;
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p=eps+1.0;
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while (p>=eps)
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{
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s=0.0;
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for (k=0;k<=n-1;k++)
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{
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x=a+(k+0.5)*h;
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s=s+func (x);
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}
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t=(t1+h*s)/2.0;
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p=fabs(t1-t);
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t1=t; n=n+n; h=h/2.0;
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}
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integ = t;
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}
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void ffts::output () //输出积分值到文件并显示
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{
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if((fout=fopen("yuanzhuti.dat","a"))==NULL)//可设置xls格式文件
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{
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cout<<"error!";
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return;
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}
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if(X>R)
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{
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fprintf(fout,"%lf %lf %lf\n",x,y,integ*G*density);
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printf("%lf %lf %lf\n",x,y,integ*G*density);//输出数据
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fclose(fout);
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}
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else if(X==R)
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{
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fprintf(fout,"%lf %lf %lf\n",x,y,integ*G*density);
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printf("%lf %lf %lf\n",x,y,integ*G*density);//输出数据
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fclose(fout);
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}
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else if(X>0&&X<R)
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{
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fprintf(fout,"%lf %lf %lf\n",x,y,(integ+L)*G*density);
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printf("%lf %lf %lf\n",x,y,(integ+L)*G*density);//输出数据
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fclose(fout);
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}
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else if(X==0)
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{
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fprintf(fout,"%lf %lf %lf\n",x,y,G*density*2*PI*(sqrt(R*R+h*h)-sqrt(R*R+H*H)+H-h));
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printf("%lf %lf %lf\n",x,y,G*density*2*PI*(sqrt(R*R+h*h)-sqrt(R*R+H*H)+H-h));//输出数据
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fclose(fout);
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}
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}
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double ffts::func (double l)
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{
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M=(1/sqrt(l*l+h*h)-1/sqrt(l*l+H*H));
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N=2*l*acos((l*l+X*X-R*R)/(2*l*X));
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if(X>R) return N*M;
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else if(X==R) return (2*l*acos(l/(2*R)))*M;
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else if(X>0&&X<R) return N*M;
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return N*M;
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}
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int main()
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{
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printf("\nPlease input the calculating region and grid space : ");
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scanf("%lf %lf %lf %lf %lf",&x1,&x2,&y3,&y2,&d);
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Xo=100;
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Yo=100;
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for(x=x1;x<=x2;x+=d)
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{
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for(y=y3;y<=y2;y+=d)
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{
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X=(int)sqrt((x-Xo)*(x-Xo)+(y-Yo)*(y-Yo));
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if(X>R)
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{
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ffts solution(X-R, X+R, 0.00001); //创建对象并顺序提供a, b, eps值
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solution.integration (); //执行变步长梯形求积法
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solution.output (); //输出积分值到文件并显示
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}
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else if(X==R)
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{
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ffts solution(0.0, 2*R, 0.00001); //创建对象并顺序提供a, b, eps值
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solution.integration (); //执行变步长梯形求积法
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solution.output (); //输出积分值到文件并显示
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}
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else if(X>0&&X<R)
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{
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L=2*PI*(sqrt((R-X)*(R-X)+h*h)-sqrt((R-X)*(R-X)+H*H)+H-h);
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ffts solution(R-X, X+R, 0.00001); //创建对象并顺序提供a, b, eps值
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solution.integration (); //执行变步长梯形求积法
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solution.output (); //输出积分值到文件并显示
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}
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}
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}
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printf("\nCalculating completed!\n\nPlease press any key to exit ...");
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return 0;
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}
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