fibonacci_Search.c

#include <stdio.h>
#include <stdlib.h>

int fibMonaccianSearch(int arr[], int x, int n)
{
    /* Initialize fibonacci numbers */
    int fibMMm2 = 0;   // (m-2)'th Fibonacci No.
    int fibMMm1 = 1;   // (m-1)'th Fibonacci No.
    int fibM = fibMMm2 + fibMMm1;  // m'th Fibonacci

    /* fibM is going to store the smallest Fibonacci
       Number greater than or equal to n */
    while (fibM < n)
    {
        fibMMm2 = fibMMm1;
        fibMMm1 = fibM;
        fibM  = fibMMm2 + fibMMm1;
    }

    // Marks the eliminated range from front
    int offset = -1;

    /* while there are elements to be inspected. Note that
       we compare arr[fibMm2] with x. When fibM becomes 1,
       fibMm2 becomes 0 */
    while (fibM > 1)
    {
        // Check if fibMm2 is a valid location

        // sets i to the min. of (offset+fibMMm2) and (n-1)
        int i = ((offset+fibMMm2) < (n-1)) ? (offset+fibMMm2) : (n-1);

        /* If x is greater than the value at index fibMm2,
           cut the subarray array from offset to i */
        if (arr[i] < x)
        {
            fibM  = fibMMm1;
            fibMMm1 = fibMMm2;
            fibMMm2 = fibM - fibMMm1;
            offset = i;
        }

        /* If x is greater than the value at index fibMm2,
           cut the subarray after i+1  */
        else if (arr[i] > x)
        {
            fibM  = fibMMm2;
            fibMMm1 = fibMMm1 - fibMMm2;
            fibMMm2 = fibM - fibMMm1;
        }

        /* element found. return index */
        else return i;
    }

    /* comparing the last element with x */
    if(fibMMm1 && arr[offset+1]==x)return offset+1;

    /*element not found. return -1 */
    return -1;
}


int main(void)
{
    int arr[] = {10, 22, 35, 40, 45, 50, 80, 82,
                 85, 90, 100};
    int n = sizeof(arr)/sizeof(arr[0]);
    int x = 85;
    printf("Found at index: %d",
            fibMonaccianSearch(arr, x, n));
    return 0;
}