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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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14
Task/Continued-fraction-Arithmetic-Construct-from-rational-number/Python/continued-fraction-arithmetic-construct-from-rational-number-1.py Normal file
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def r2cf(n1,n2):
while n2:
n1, (t1, n2) = n2, divmod(n1, n2)
yield t1
print(list(r2cf(1,2))) # => [0, 2]
print(list(r2cf(3,1))) # => [3]
print(list(r2cf(23,8))) # => [2, 1, 7]
print(list(r2cf(13,11))) # => [1, 5, 2]
print(list(r2cf(22,7))) # => [3, 7]
print(list(r2cf(14142,10000))) # => [1, 2, 2, 2, 2, 2, 1, 1, 29]
print(list(r2cf(141421,100000))) # => [1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 3, 1, 7, 2]
print(list(r2cf(1414214,1000000))) # => [1, 2, 2, 2, 2, 2, 2, 2, 3, 6, 1, 2, 1, 12]
print(list(r2cf(14142136,10000000))) # => [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 1, 2, 4, 1, 1, 2]

13
Task/Continued-fraction-Arithmetic-Construct-from-rational-number/Python/continued-fraction-arithmetic-construct-from-rational-number-2.py Normal file
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def real2cf(x):
while True:
t1, f = divmod(x, 1)
yield int(t1)
if not f:
break
x = 1/f
from fractions import Fraction
from itertools import islice
print(list(real2cf(Fraction(13, 11)))) # => [1, 5, 2]
print(list(islice(real2cf(2 ** 0.5), 20))) # => [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]