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Ingy döt Net 2013-04-11 01:07:29 -07:00
parent b83f433714
commit 68f8f3e56b
14735 changed files with 178959 additions and 0 deletions
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7
Task/Van-der-Corput-sequence/Python/van-der-corput-sequence-1.py Normal file
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def vdc(n, base=2):
vdc, denom = 0,1
while n:
denom *= base
n, remainder = divmod(n, base)
vdc += remainder / denom
return vdc

5
Task/Van-der-Corput-sequence/Python/van-der-corput-sequence-2.py Normal file
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>>> [vdc(i) for i in range(10)]
[0, 0.5, 0.25, 0.75, 0.125, 0.625, 0.375, 0.875, 0.0625, 0.5625]
>>> [vdc(i, 3) for i in range(10)]
[0, 0.3333333333333333, 0.6666666666666666, 0.1111111111111111, 0.4444444444444444, 0.7777777777777777, 0.2222222222222222, 0.5555555555555556, 0.8888888888888888, 0.037037037037037035]
>>>

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Task/Van-der-Corput-sequence/Python/van-der-corput-sequence-3.py Normal file
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>>> from fractions import Fraction
>>> Fraction.__repr__ = lambda x: '%i/%i' % (x.numerator, x.denominator)
>>> [vdc(i, base=Fraction(2)) for i in range(10)]
[0, 1/2, 1/4, 3/4, 1/8, 5/8, 3/8, 7/8, 1/16, 9/16]

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Task/Van-der-Corput-sequence/Python/van-der-corput-sequence-4.py Normal file
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>>> for b in range(3,6):
print('\nBase', b)
print([vdc(i, base=Fraction(b)) for i in range(10)])
Base 3
[0, 1/3, 2/3, 1/9, 4/9, 7/9, 2/9, 5/9, 8/9, 1/27]
Base 4
[0, 1/4, 1/2, 3/4, 1/16, 5/16, 9/16, 13/16, 1/8, 3/8]
Base 5
[0, 1/5, 2/5, 3/5, 4/5, 1/25, 6/25, 11/25, 16/25, 21/25]