http://en.wikipedia.org/wiki/Binary_search_algorithm#Average_performance
BinarySearch(int A[], int value, int low, int high)
{
int mid;
if (high < low)
return -1;
mid = (low + high) / 2;
if (A[mid] > value)
return BinarySearch(A, value, low, mid-1);
else if (A[mid] < value)
return BinarySearch(A, value, mid+1, high);
else
return mid;
}
If the integer I'm trying to find is always in the array, can anyone help me write a program that can calculate the average performance of binary search algorithm?
edit: I know I can do this by actually running the program and counting the number of calls, but what I'm trying to do here is to do it without calling the function.
edit2: KennyTM: That is a time complexity, I'm trying to calculate the average number of calls. For example, the average number of calls to find a integer in A[2], it would be 1.67 (5/3)