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#include <iostream>
#include <cmath>
#include<iomanip>
#include<fstream>
#include<string>
#include<cstdlib>
#include<ctime>
using namespace std;
ofstream fout;
ifstream fin;
string file= "ElectrostaticData";
const long double pi = 3.14159265;
const long double Ke= 8.98756e9;
const long double Q1 = 1.60237657e-19;
const long double Q2 = 1.60237657e-19;
const long double m = 9.10938291e-31;
const long double k = Ke*Q1*Q2/(m);
long double particleMatrix[27][2]={
{1E-3 , 2.00E-11},
{1E-3 , 1.95E-11},
{1E-3 , 1.90E-11},
{1E-3 , 1.85E-11},
{1E-3 , 1.80E-11},
{1E-3 , 1.75E-11},
{1E-3 , 1.70E-11},
{1E-3 , 1.65E-11},
{1E-3 , 1.60E-11},
{1E-3 , 1.55E-11},
{1E-3 , 1.50E-11},
{1E-3 , 1E-12},
{1E-3 , 0.5E-12},
{1E-3 , 0},
{1E-3 , -0.5E-12},
{1E-3 , -1E-12},
{1E-3 , -1.50E-11},
{1E-3 , -1.55E-11},
{1E-3 , -1.60E-11},
{1E-3 , -1.65E-11},
{1E-3 , -1.70E-11},
{1E-3 , -1.75E-11},
{1E-3 , -1.80E-11},
{1E-3 , -1.85E-11},
{1E-3 , -1.90E-11},
{1E-3 , -1.95E-11},
{1E-3 , -2.E-11}
};
long double thetaArray [27];
void fThetaArrayGen(long double x, long double y);
long double accelGen(long double x, long double y);
long double fTheta(long double x, long double y);
long double distancesMatrix[27][2];
void distancesMatrixGen(long double x, long double y);
long double accelSum(char xy);
long double accelMagArray[27];
void accelMagArrayGen();
long double accelVectorGen(long double a,long double r);
int mainfunc(long double i7);
int main()
{
fout.open(file.c_str());
fout <<"t \tx \ty \tvx \tvy \tax \tay"<<endl;
int counter=0;
for (int i=50; i>=0; i--)
{
mainfunc(i*1E-9);
}
return 0;
}
int mainfunc(long double i7)
{
srand( time( NULL ) );
long double dt=1E-10, dt2=1E-10, x=0, y=0, v=3E8, theta1=i7;
long double vx = v*cos(theta1);
long double vy = v*sin(theta1);
distancesMatrixGen(x,y);
fThetaArrayGen(x, y);
long double a;
long double ax=accelSum('x');
long double ay=accelSum('y');
int counter=0;
int breaker=0;
for (long double t=0; ; t+=dt)
{
counter++;
x += (vx*dt)*dt2+(1/2*ax*dt*dt)*dt2*dt2;
y += (vy*dt)*dt2+(1/2*ay*dt*dt)*dt2*dt2;
vx += (ax*dt)*dt2;
vy += (ay*dt)*dt2;
fThetaArrayGen(x,y);
distancesMatrixGen(x,y);
ax=accelSum('x');
ay=accelSum('y');
v=sqrt(vx*vx+vy*vy);
a=sqrt(ax*ax+ay*ay);
if (x>9.995E-4&&counter%6000==0)
{
fout <<t<<"\t"<<x<<"\t"<<y<<"\t"<<vx<<"\t"<<vy<<"\t"<<ax<<"\t"<<ay<<endl;
}
if (y>5E-11)//edited, pretty much its "if the electron leaves the area I want it in"
{
return 0;
}
if (x>5E-3) //if the particle gets to the other side of the field
{
return 1;
}
}///end for loop
}
void fThetaArrayGen(long double x, long double y)///recalc
{
for (int i=0;i<27;i++)
{
thetaArray[i]=fTheta(distancesMatrix[0][i],distancesMatrix[1][i]);
}
}
long double accelGen(long double x, long double y)///called func
{
return k/(x*x+y*y);
}
long double fTheta(long double x, long double y)///called func
{
return atan(y/x);
}
void distancesMatrixGen(long double x, long double y)///recalc
{
for (int i=0; i<27; i++)
{
distancesMatrix[i][0]=x-particleMatrix[i][0];
distancesMatrix[i][1]=y-particleMatrix[i][1];
}
}
long double accelVectorGen(long double a,long double r)
{
if (r>0)
{
return a;
}
else if (r<0)
{
return -a;
}
else
{
return 0;
}
}
long double accelSum(char xy)///recalc
{
accelMagArrayGen();
long double sum=0;
if (xy=='x')
{
for (int i=0; i<27; i++)
{
sum+=accelVectorGen(abs(cos(thetaArray[i])*accelMagArray[i]),distancesMatrix[i][0]);
}
}
else if (xy=='y')
{
long double tempSum=0;
for (int i2=0; i2<27; i2++)
{
sum+=accelVectorGen(abs(sin(thetaArray[i2])*accelMagArray[i2]),distancesMatrix[i2][1]);
}
}
return sum;
}
void accelMagArrayGen()///called func
{
long double x;
long double y;
for (int i=0; i<27; i++)
{
x=distancesMatrix[i][0]*1E10;
y=distancesMatrix[i][1]*1E10;
accelMagArray[i]=1E20*accelGen(x,y);
}
}
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