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- # This is a recursive implementation of the fibonacci series.
- # This is the most natural representaion of the series
- # The recurrence relation is quite simple:
- # f(0) = 0
- # f(1) = 1
- # f(n) = f(n-1) + f(n-2)
- # There is no point in trying to implement
- # the fibonacci series in a tail-call recursive manner
- # since the BDFL has stated multiple times that Python
- # will not support tail-call optimisation (and it would
- # just over complicate things)
- def fib_rec(n):
- if n < 2:
- return n
- else:
- return fib_rec(n-1) + fib_rec(n-2)
- # This implementation is a generator
- # You call the function and get the generator back
- # For getting values you can loop through the generator,
- # just like with any other iterable
- def fib():
- a, b = 0, 1
- while True:
- # This next line makes this function a generator
- # Each time the executor reaches this yield stmt
- # it halts execution and gives (yields) the values
- yield a
- # This makes use of Python's tuple
- # unpacking feature, which makes it
- # easy to swap variables (or in this
- # case update them simultaneously)
- # without another temporary variable
- a, b = b, a+b
- # This function gives you the kth fibonacci
- # term. It works just the same as the above
- # implementation, with the exception that
- # you only get one fibonacci value (the one-th
- # you give as an argument)
- def kth_fib(k):
- a, b = 0, 1
- while k != 0:
- a, b = b, a+b
- k -= 1
- return a
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