## Monday, July 9, 2007

### Write C code to implement the Binary Search algorithm.

Here is a C function

int binarySearch(int arr[],int size, int item)
{
int left, right, middle;
left = 0;
right = size-1;

while(left <= right)
{
middle = ((left + right)/2);

if(item == arr[middle])
{
return(middle);
}

if(item > arr[middle])
{
left = middle+1;
}
else
{
right = middle-1;
}
}

return(-1);
}

Note that the Binary Search algorithm has a prerequisite that the array passed to it must be already sorted in ascending order. This will not work on an unsorted array. The complexity of this algorithm is O(log(n)).

Anonymous said...

This code suffers from the usual problems of seemingly straightforward implementations of binary search: two instead of one comparisons inside the loop and problems with integer overflows for large arrays.

The following code I believe to be more robust and efficient (if you don't have C++/templates, just replace keyType with whatever is needed):

template<typename keyType> size_t binarySearch (keyType* s, size_t h, keyType n) {
if (h) {
size_t l=0;
while (l < h) {
size_t m = l + (h-l) / 2;
if (s [m] < n) {
l = m + 1;
} else {
h = m;
}
}

if (s [l] == n) {
return l;
}
}

return ~0;
}

Anonymous said...

I much prefer the tail recursion implementation, as its simpler to understand, and the compiler will transform it to an iterative version for performance.

bool findNumber(int num, int a[], int start, int end)
{
if (start == end) return a[start] == num;
int mid = ((end - start) / 2) + start;
return findNumber(num, a, start, mid) | findNumber(num, a, mid+1, end);
}

bool findNumber(int num, int a[], int len)
{
return findNumber(num, a, 0, len-1);
}

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