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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
}

Output:
Interval Halving Method Optimization Algorithm
Interval Halving Method Optimization Algorithm

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