https://github.com/python/cpython/commit/546ac0191f65013b10b8c7943b9e38df7499abf6
commit: 546ac0191f65013b10b8c7943b9e38df7499abf6
branch: 3.12
author: Hugo van Kemenade <1324225+hug...@users.noreply.github.com>
committer: rhettinger <rhettin...@users.noreply.github.com>
date: 2025-02-20T17:32:35-06:00
summary:
[3.12] Itertool recipe additions (gh-127483) (gh-130362)
files:
M Doc/library/itertools.rst
diff --git a/Doc/library/itertools.rst b/Doc/library/itertools.rst
index b1b7b630a5ecbb..c71e8d2a6142cb 100644
--- a/Doc/library/itertools.rst
+++ b/Doc/library/itertools.rst
@@ -829,6 +829,11 @@ and :term:`generators <generator>` which incur interpreter
overhead.
"Returns the sequence elements n times."
return chain.from_iterable(repeat(tuple(iterable), n))
+ def loops(n):
+ "Loop n times. Like range(n) but without creating integers."
+ # for _ in loops(100): ...
+ return repeat(None, n)
+
def tail(n, iterable):
"Return an iterator over the last n items."
# tail(3, 'ABCDEFG') → E F G
@@ -1060,6 +1065,11 @@ The following recipes have a more mathematical flavor:
data[p*p : n : p+p] = bytes(len(range(p*p, n, p+p)))
yield from iter_index(data, 1, start=3)
+ def is_prime(n):
+ "Return True if n is prime."
+ # is_prime(1_000_000_000_000_403) → True
+ return n > 1 and all(n % p for p in sieve(math.isqrt(n) + 1))
+
def factor(n):
"Prime factors of n."
# factor(99) → 3 3 11
@@ -1165,6 +1175,17 @@ The following recipes have a more mathematical flavor:
>>> list(islice(tabulate(lambda x: 2*x), 4))
[0, 2, 4, 6]
+
+ >>> for _ in loops(5):
+ ... print('hi')
+ ...
+ hi
+ hi
+ hi
+ hi
+ hi
+
+
>>> list(tail(3, 'ABCDEFG'))
['E', 'F', 'G']
>>> # Verify the input is consumed greedily
@@ -1424,6 +1445,24 @@ The following recipes have a more mathematical flavor:
>>> set(sieve(10_000)).isdisjoint(carmichael)
True
+
+ >>> small_primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,
47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
+ >>> list(filter(is_prime, range(-100, 100))) == small_primes
+ True
+ >>> carmichael = {561, 1105, 1729, 2465, 2821, 6601, 8911} #
https://oeis.org/A002997
+ >>> any(map(is_prime, carmichael))
+ False
+ >>> # https://www.wolframalpha.com/input?i=is+128884753939+prime
+ >>> is_prime(128_884_753_939) # large prime
+ True
+ >>> is_prime(999953 * 999983) # large semiprime
+ False
+ >>> is_prime(1_000_000_000_000_007) # factor() example
+ False
+ >>> is_prime(1_000_000_000_000_403) # factor() example
+ True
+
+
>>> list(factor(99)) # Code example 1
[3, 3, 11]
>>> list(factor(1_000_000_000_000_007)) # Code example 2
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