Merge pull request Phantsure#5 from SucharuRai/master

Searching Rythms added (>> fibonacciSearch and interpolationSearch added)

Author: Phantsure

Searching/python/fibonacciSearch.py

@@ -0,0 +1,47 @@
+#List should be in Sorted ascending order 
+
+from bisect import bisect_left 
+def fibonacciSearch(arr, x, n): 
+ 
+ # Initialize fibonacci numbers 
+ m2 = 0 # (m-2)'th Fibonacci No. 
+ m1 = 1 # (m-1)'th Fibonacci No. 
+ m = m2 + m1 # m'th Fibonacci 
+ 
+ # m is going to store the smallest 
+ # Fibonacci Number greater than or equal to n 
+ while (m < n): 
+ m2 = m1 
+ m1 = m 
+ m = m2 + m1 
+ 
+ offset = -1; 
+
+ while (m > 1): 
+ i = min(offset+m2, n-1) 
+ if (arr[i] < x): 
+ m = m1 
+ m1 = m2 
+ m2 = m - m1 
+ offset = i 
+ elif (arr[i] > x): 
+ m = m2 
+ m1 = m1 - m2 
+ m2 = m - m1 
+ else : 
+ return i 
+ 
+ if(m1 and arr[offset+1] == x): 
+ return offset+1; 
+ return -1
+
+print("Enter the elements of the array in a single line: ")
+arr = list(map(int,input().split()))
+num = int(input("Enter the number you want to search\n"))
+
+ind = fibonacciSearch(arr, num, len(arr))
+if(ind>=0):
+ print("Found at index: ",ind)
+else:
+ print("Searched Element not found") 
+ 

Searching/python/interpolationSearch.py

@@ -0,0 +1,38 @@
+#List should be in Sorted ascending order 
+
+def interpolationSearch(arr, n, x): 
+ # Settting indexes of two corners 
+ lo = 0
+ hi = n 
+ 
+ while (lo <= hi and x >= arr[lo] and x <= arr[hi]): 
+ if lo == hi: 
+ if arr[lo] == x: 
+ return lo; 
+ return -1; 
+
+ pos = lo + int(((float(hi - lo) / 
+ ( arr[hi] - arr[lo])) * ( x - arr[lo]))) 
+ 
+
+ if arr[pos] == x: 
+ return pos 
+ 
+ if arr[pos] < x: 
+ lo = pos + 1; 
+ 
+ else: 
+ hi = pos - 1; 
+ 
+ return -1
+
+print("Enter the elements of the array in a single line: ")
+arr = list(map(int,input().split()))
+num = int(input("Enter the number you want to search\n"))
+
+index = interpolationSearch(arr, len(arr)-1, num) 
+
+if (index != -1): 
+ print ("Element found at index ",index )
+else: 
+ print ("Element not found")