Created
November 28, 2012 00:19
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Fibonocci CLI tool
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#!/usr/bin/env python | |
"""Fibonacci calculator with better precision than Javascript""" | |
def main(): | |
import argparse | |
parser = argparse.ArgumentParser(description='Show the Fibonacci series number') | |
# method to use | |
parser.add_argument('-r', '--recursive', action='store_true', | |
help="Use a recursive method") | |
parser.add_argument('-i', '--iterative', action='store_true', | |
help="Use an iterative method") | |
parser.add_argument('--no-memoization', action="store_true", | |
help="Disable memoization for recursive functions") | |
parser.add_argument('-t', '--test', action="store_true", | |
help="Test to see if the recursive method and the iterative method yield the same result") | |
# print each n to N? | |
parser.add_argument('-v', '--verbose', action='store_true', | |
help='Show each step of the calculation') | |
# N | |
parser.add_argument('sum_to', metavar='N', type=int, | |
help="Show number N of the Fibonacci series") | |
args = parser.parse_args() | |
if args.test: | |
print test(args.sum_to, args.verbose) | |
return 0 | |
if args.iterative or (not (args.iterative or args.recursive)): | |
print iterative_fib(args.sum_to, args.verbose) | |
if args.recursive: | |
if args.no_memoization: | |
print slow_recursive_fib(args.sum_to, args.verbose) | |
else: | |
print recursive_fib(args.sum_to, args.verbose) | |
return 0 | |
def iterative_fib(n, verbose=False): | |
if n==1 or n==2: | |
p(verbose, n, 1) | |
return 1 | |
v = 1; last_v = 1; k = 2 | |
p(verbose, 1, 1) | |
while k < n: | |
p(verbose, k, v) | |
k += 1 | |
v, last_v = v+last_v, v | |
return v | |
def memoize(fn): | |
store = {} | |
def wrapped_fn(*args): | |
if args in store: | |
return store[args] | |
else: | |
res = fn(*args) | |
store[args] = res | |
return res | |
return wrapped_fn | |
@memoize | |
def recursive_fib(n, verbose=False): | |
if n==1 or n==2: | |
return p(verbose, n, 1) | |
return p(verbose, n, recursive_fib(n-1, verbose) + recursive_fib(n-2, | |
verbose)) | |
def slow_recursive_fib(n, verbose=False): | |
if n==1 or n==2: | |
return p(verbose, n, 1) | |
return p(verbose, n, slow_recursive_fib(n-1, verbose) + slow_recursive_fib(n-2, | |
verbose)) | |
def test(n, verbose=False): | |
if verbose: | |
for num in range(1, n): | |
test(num) | |
r, i = recursive_fib(n), iterative_fib(n) | |
print "fib({0}): r{1} == i{2} ? {3}".format(n, r, i, r == i) | |
return r == i | |
@memoize | |
def p(verbose, n, v): | |
if verbose: | |
print "Fib({0}) = {1}".format(n, v) | |
return v | |
if __name__ == '__main__': | |
main() |
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