def recursive_fib(n): '''This function will recursively generate fibonacci numbers. It's very slow and intensive, and doesn't work well for large numbers. It re-generates every fibonacci number <= n for each layer = too much recursion ''' try: assert n>0 assert type(n) is int if (n==1 or n==2): return 1 else: return recursive_fib(n-1) + recursive_fib(n-2) except AssertionError: return AssertionError def generative_fib(n): '''Start at the beginning, and calculate the nth fibonacci numbers. Only calculates each fibonacci number once for each call ''' try: assert n>0 assert type(n) is int x = 1 y=1 for _ in xrange(n): x,y = y, x+y return x except AssertionError: return AssertionError print generative_fib(5) print recursive_fib(5) ##almost no difference in speed print generative_fib(30) print recursive_fib(30) ##any difference?
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