Implemented the closed definition of fibonacci.

README.md

@@ -0,0 +1,7 @@
+## Dependencies
+
+### Matplotlib
+```bash
+python -m pip install -U pip
+python -m pip install -U matplotlib
+```

fibonacci/Fibonacci.py

@@ -1,3 +1,6 @@
+import math as math
+
+
 def fib(n):
     if n == 0 or n == 1:
         return n
@@ -39,11 +42,18 @@ def fibPower(n):
     return power(l, n)[1]
 
 
+
+def fibClosedFormula(n):
+    p = ((1+ math.sqrt(5))/2)**n
+    v = ((1-math.sqrt(5))/2)**n
+    return (p-v)/math.sqrt(5)
+
+
 """
 Makes sure that other programs don't execute the main
 """
 if __name__ == '__main__':
     try:
-        print(fib(30))
+        print(closedFormula(6))
     except KeyboardInterrupt:
         exit()

fibonacci/PlotTimeComplexity.py

@@ -1,14 +1,14 @@
 import matplotlib.pyplot as plt
 import time
-from fibonacci import Fibonacci as fib
+import Fibonacci as fib
 
 
 def measureTime(n):
 
     total = 0
-    for i in range(0, 200):
+    for i in range(0, 200000):
         start_time = time.time()
-        fib.fibPower(n)
+        fib.fibClosedFormula(n)
         end_time = time.time()
         total += end_time - start_time
     return total/200
@@ -18,7 +18,7 @@ def generateData():
     time = []
     input = []
 
-    for i in range(1, 2000, 20):
+    for i in range(1, 1000, 20):
         input.append(i)
         time.append(measureTime(i))
     return input, time