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fibonacci search in python
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57 lines (46 loc) · 1.61 KB
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# Python3 program for Fibonacci search.
from bisect import bisect_left
# Returns index of x if present, else
# returns -1
def fibMonaccianSearch(arr, x, n):
# Initialize fibonacci numbers
fibMMm2 = 0 # (m-2)'th Fibonacci No.
fibMMm1 = 1 # (m-1)'th Fibonacci No.
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
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
i = min(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 less than the value at
# index fibMm2, cut the subarray
# after i+1
elif (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 and arr[offset+1] == x):
return offset+1;
# element not found. return -1
return -1