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Add more recipe tests. Make the factor recipe a bit faster and clearer. (GH-106817)

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Raymond Hettinger 2023-07-16 21:37:07 -05:00 • committed by GitHub
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1 changed files with 8 additions and 3 deletions
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11
Doc/library/itertools.rst
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@ -1049,11 +1049,10 @@ The following recipes have a more mathematical flavor:
# factor(1_000_000_000_000_403) --> 1000000000000403
for prime in sieve(math.isqrt(n) + 1):
while True:
quotient, remainder = divmod(n, prime)
if remainder:
if n % prime:
break
yield prime
n = quotient
n //= prime
if n == 1:
return
if n > 1:
@ -1354,6 +1353,12 @@ The following recipes have a more mathematical flavor:
>>> set(sieve(10_000)).isdisjoint(carmichael)
True
>>> list(factor(99)) # Code example 1
[3, 3, 11]
>>> list(factor(1_000_000_000_000_007)) # Code example 2
[47, 59, 360620266859]
>>> list(factor(1_000_000_000_000_403)) # Code example 3
[1000000000000403]
>>> list(factor(0))
[]
>>> list(factor(1))