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| #include <iostream>
#include <iomanip>
#include <math.h>
#include <cmath>
using namespace std;
void Gold();
void Trap();
void Descent();
/*double funk(double t)
{
double f=0, E=5, R=100, I0=1E-10, fit=0.025;
f=fabs(((E-t)/R)-(I0*(exp(t/fit)-1)));
return f;
}
double funk1(double &F1n, double &F2n, double &F1n1, double &F2n1)
{
static double En(5);
double R1=1, I0=1.2*pow(10.0,-10), Ft=25*pow(10.0,-3), C=1*pow(10.0, -8), R2=5, h=0.5*(R1+R2)*C, En1=En+h;
double G1, G2, G;
///////////////////////
G1=(((En-F1n)/R1 - I0*(exp(F1n/Ft-1)) - C*(F1n1-F2n1-F1n+F2n)/h)+ ((En1-F1n1)/R1 - I0*(exp(F1n1/Ft-1)) - C*(F1n1-F2n1-F1n+F2n)/h))/2;
G2=((C*(F1n1-F2n1-F1n+F2n)/h - F2n/R2) + (C*(F1n1-F2n1-F1n+F2n)/h - F2n1/R2))/2;
G=abs(G1)+abs(G2);
En=En1;
return G;
}
*/
void Trap(){
int k=0, Emax=5,f=0;
double E=0, I0=1.2E-10, c=5.0E-12, eps=0.00001, norm, fi1n2=0,fi2n2=0, fi1tr, fi2tr,
fi1n=0,fi2n=0,fi1n1=0,fi2n1=0,fit=0.025,h=5.0E-6, r1=5.0, r2=100.0, tf=5.E-5,t;
double a[2][2]= {0,0,0,0}, b[2]= {0,0}, xn1[2]= {0,0}, xn[2]= {0,0};
float time = .00000001;
h=5.0E-10;
tf=10*h;
a[0][1]=c/h;
a[1][0]=c/h;
a[1][1]=-1/r2-c/h;
t=h;
cout<<setw(10)<<"k"<<setw(10)<<"E"<<setw(15)<<"t"<<setw(20)<<"fi1n1"<<setw(20)<<"fi2n1"<<endl;
cout<<endl;
for(int z=0; z*h<time; z++)
{
if(t<tf)
{
E=(Emax/tf)*t;
}
else E=Emax;
t+=h;
k=0;
{
k++;
b[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
b[1]=c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-fi2n1/r2;
a[0][0]=-1/r1-I0/fit*(exp(fi1n1/fit))-c/h;
xn1[0]=(-b[0]*a[1][1]+b[1]*a[0][1])/(a[0][0]*a[1][1]-a[0][1]*a[1][0]);
xn1[1]=(-a[0][0]*b[1]+b[0]*a[1][0])/(a[0][0]*a[1][1]-a[0][1]*a[1][0]);
//Неявный
fi1n=fi1n1;
fi2n=fi2n1;
fi1n1=xn1[0]+fi1n;
fi2n1=xn1[1]+fi2n;
//Явный
fi1n=fi1n2;
fi2n=fi2n2;
fi1n2=xn1[0]+fi1n;
fi2n2=xn1[0]+fi2n;
//Трапеция
fi1tr=0.5*(fi1n1+fi1n2);
fi2tr=0.5*(fi2n1+fi2n2);
if((fabs(fi1n1-fi1n)<eps)&&(fabs(fi2n1-fi2n)<eps))
{
f=1;
break;
}
}
cout<<setw(10)<<k<<setw(10)<<E<<setw(15)<<t<<setw(20)<<fi1tr<<setw(20)<<fi2tr<<endl;
}
}
void Gold(){
}
void Descent()
{
setlocale(LC_ALL, "rus");
int l=0;
int k=0, Emax=5,f=0;
double E=0, I0=1.2E-10, c=5.0E-12, eps=0.00001, fi1n=0, fi2n=0, fi1n1=0, fi2n1=0, fit=0.025, h=5.0E-6, r1=5.0, r2=100.0, tf=5.E-5, t;
double a[2][2]= {0,0,0,0}, b[2]= {0,0}, xn1[2]= {0,0}, xn[2]= {0,0};
double bb[2]= {0,0};
double bbb[2]= {0,0};
double bbbb[2]= {0,0};
double time = .0000001;
//h=c*r2;
h=5.0E-10;
tf=10*h;
t=h;
double af1=0, af2=Emax;
double aff1=0, aff2=Emax;
double lastx1=0, lastx2=0;
//cout<<"Метод покоординатного спуска\n";
cout<<setw(10)<<"k"<<setw(10)<<"E"<<setw(15)<<"t"<<setw(15)<<"fi1n1"<<setw(10)<<"fi2n1"<<setw(10)<<"Step"<<endl;
cout<<endl;
for(int z=0; t<time; z++)
{
if(t<tf)
{
E=(Emax/tf)*t;
}
else E=Emax;
t+=h;
k=0;
double aa = 0.0, ba = 2.272292;
double aaa = 0.0, baa = 2;
double x1 = 0.0, x2 = 0;
//int k=0;
bool doIt = true;
while(doIt)
{
k++;
//fi1n = 0.6;
fi1n = aa;
fi1n1 = aa;
bb[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
//bb[1]=c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-fi2n1/r2;
fi1n = ba ;
fi1n1 = fi1n;
bbb[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
fi1n = (aa + ba)/2;
fi1n1 = fi1n;
bbbb[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
if(fabs(bbb[0]) < fabs(bb[0]))
{
aa = (aa + ba)/2;
}
else
{
ba = (aa + ba)/2;
//fi1n1 = ba;
//ba -=0.1;
}
x1 = bb[0];
fi2n = aaa;
fi2n1 = fi2n;
bb[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
fi2n = baa ;
fi2n1 = fi2n;
bbb[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
fi2n = (aaa + baa)/2;
fi2n1 = fi2n;
bbbb[0]=(E-fi1n1)/r1-c/h*((fi1n1-fi2n1)-(fi1n-fi2n))-I0*(exp(fi1n1/fit)-1);
x2 = bb[0];
if(fabs(bbb[0]) < fabs(bb[0]))
{
aaa = (aaa + baa)/2;
}
else
{
baa = (aaa + baa)/2;
}
if(fabs(aaa - baa) < eps && fabs(aa - ba)<eps)
{
doIt = false;
cout<<setw(10)<<l++<<setw(10)<<E<<setw(15)<<t<<setw(15)<<aa<<setw(10)<<aaa<<setw(10)<<h<<endl;
if(fabs(lastx1 - aa)<eps && fabs(lastx2 - aaa)<eps) {
h*=2;
}
if(fabs(lastx1 - aa)>eps*100 || fabs(lastx2 - aaa)>eps*100) {
h/=2;
}
lastx1=aa;
lastx2=aaa;
}
}
}
}
int main()
{
setlocale(LC_CTYPE, "rus");
cout << "Метод трапеции с постоянным шагом:\n";
Trap();
cout << "Метод покоординатного спуска:\n";
Descent();
cout << "Метод золотого сечения:\n";
Gold();
cin.get();
return 0;
} |
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