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Optimization: Interval Halving Method
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1. Interval Halving Method Algorithm in C
#include<stdio.h>
double myFun(double x);
int main()
{
double a, b, y, x, xm, x1, x2, fx1, fx2, fxm, L, t=0.01;
printf("Enter a:");
scanf("%lf",&a); //Upper Bound
printf("Enter b:");
scanf("%lf",&b); //Lower Bound
xm = (a + b)/2;
jump:
L = b-a;
x1 = a + (L/4);
x2 = b - (L/4);
printf("\n\na = %.2lf",a);
printf("\nb = %.2lf",b);
printf("\nx1 = %.2lf",x1);
printf("\nx2 = %.2lf",x2);
printf("\nxm = %.2lf",xm);
printf("\nL = %.2lf",L);
fx1 = myFun(x1);
printf("\nf(x1) = %.2lf",fx1);
fx2 = myFun(x2);
printf("\nf(x2) = %.2lf",fx2);
fxm = myFun(xm);
printf("\nf(xm) = %.2lf",fxm);
if(L > t)
{
if (fx1 < fxm)
{
a = a;
b = xm;
xm = x1;
goto jump;
}
else if (fx2 < fxm)
{
b = b;
a = xm;
xm = x2;
goto jump;
}
else if (fx1 > fxm && fx2 > fxm)
{
a = x1;
b = x2;
xm = (a+b)/2;
goto jump;
}
else
{
goto end;
}
}
else
{
goto end;
}
end:
return 0;
}
double myFun(double x) // function definition
{
double y;
y = ((x*x)+(54/x));
return y; // return statement
}
double myFun(double x);
int main()
{
double a, b, y, x, xm, x1, x2, fx1, fx2, fxm, L, t=0.01;
printf("Enter a:");
scanf("%lf",&a); //Upper Bound
printf("Enter b:");
scanf("%lf",&b); //Lower Bound
xm = (a + b)/2;
jump:
L = b-a;
x1 = a + (L/4);
x2 = b - (L/4);
printf("\n\na = %.2lf",a);
printf("\nb = %.2lf",b);
printf("\nx1 = %.2lf",x1);
printf("\nx2 = %.2lf",x2);
printf("\nxm = %.2lf",xm);
printf("\nL = %.2lf",L);
fx1 = myFun(x1);
printf("\nf(x1) = %.2lf",fx1);
fx2 = myFun(x2);
printf("\nf(x2) = %.2lf",fx2);
fxm = myFun(xm);
printf("\nf(xm) = %.2lf",fxm);
if(L > t)
{
if (fx1 < fxm)
{
a = a;
b = xm;
xm = x1;
goto jump;
}
else if (fx2 < fxm)
{
b = b;
a = xm;
xm = x2;
goto jump;
}
else if (fx1 > fxm && fx2 > fxm)
{
a = x1;
b = x2;
xm = (a+b)/2;
goto jump;
}
else
{
goto end;
}
}
else
{
goto end;
}
end:
return 0;
}
double myFun(double x) // function definition
{
double y;
y = ((x*x)+(54/x));
return y; // return statement
}
Output:
Interval Halving Method Optimization Algorithm |
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