Created
May 25, 2011 19:53
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Comparing recursive and iterative fibonacci functions
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# Calculate a number in a Fibonacci series, | |
# starting at fib(0) == 0 and fib(1) == 1. | |
# An iterative and a recursive implementation. | |
# Which one most clearly shows what the code does? | |
def iterative_fibonacci(x): | |
a, b = 0, 1 | |
for n in range(x): | |
a, b = b, a + b | |
return a | |
def recursive_fibonacci(x): | |
if x == 0: | |
return 0 | |
elif x == 1: | |
return 1 | |
else: | |
return recursive_fibonacci(x - 1) + recursive_fibonacci(x - 2) | |
# The first lines of recursive_fibonacci could be replaced by | |
# | |
# if x in (0, 1): | |
# return x | |
# | |
# but IMO it makes the code less clear. | |
# fib(x)==x happens to be true for x in (0, 1) but it's normally not written | |
# like that when you define the Fibonacci series. | |
# Tests | |
for fib in (iterative_fibonacci, recursive_fibonacci): | |
result = [fib(x) for x in range(8)] | |
assert [0, 1, 1, 2, 3, 5, 8, 13] == result, 'result for ' + str(fib) + ': ' + str(result) |
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