return map(function, count(start))
def repeatfunc(func, times=None, *args):
- """Repeat calls to func with specified arguments.
-
- Example: repeatfunc(random.random)
- """
+ "Repeat calls to func with specified arguments."
if times is None:
return starmap(func, repeat(args))
return starmap(func, repeat(args, times))
"Advance the iterator n-steps ahead. If n is None, consume entirely."
# Use functions that consume iterators at C speed.
if n is None:
- # feed the entire iterator into a zero-length deque
collections.deque(iterator, maxlen=0)
else:
- # advance to the empty slice starting at position n
next(islice(iterator, n, n), None)
def nth(iterable, n, default=None):
def all_equal(iterable, key=None):
"Returns True if all the elements are equal to each other."
- # all_equal('4Ù¤à»\94ï¼\94৪', key=int) → True
+ # all_equal('4٤௪౪à»\94', key=int) → True
return len(take(2, groupby(iterable, key))) <= 1
def unique_justseen(iterable, key=None):
def sliding_window(iterable, n):
"Collect data into overlapping fixed-length chunks or blocks."
# sliding_window('ABCDEFG', 4) → ABCD BCDE CDEF DEFG
- it = iter(iterable)
- window = collections.deque(islice(it, n-1), maxlen=n)
- for x in it:
+ iterator = iter(iterable)
+ window = collections.deque(islice(iterator, n - 1), maxlen=n)
+ for x in iterator:
window.append(x)
yield tuple(window)
seq_index = getattr(iterable, 'index', None)
if seq_index is None:
# Path for general iterables
- it = islice(iterable, start, stop)
- for i, element in enumerate(it, start):
+ iterator = islice(iterable, start, stop)
+ for i, element in enumerate(iterator, start):
if element is value or element == value:
yield i
else:
pass
def iter_except(func, exception, first=None):
- """ Call a function repeatedly until an exception is raised.
-
- Converts a call-until-exception interface to an iterator interface.
- """
+ "Convert a call-until-exception interface to an iterator interface."
# iter_except(d.popitem, KeyError) → non-blocking dictionary iterator
try:
if first is not None:
# sieve(30) → 2 3 5 7 11 13 17 19 23 29
if n > 2:
yield 2
- start = 3
data = bytearray((0, 1)) * (n // 2)
- limit = math.isqrt(n) + 1
- for p in iter_index(data, 1, start, limit):
- yield from iter_index(data, 1, start, p*p)
+ for p in iter_index(data, 1, start=3, stop=math.isqrt(n) + 1):
data[p*p : n : p+p] = bytes(len(range(p*p, n, p+p)))
- start = p*p
- yield from iter_index(data, 1, start)
+ yield from iter_index(data, 1, start=3)
def factor(n):
"Prime factors of n."
"Count of natural numbers up to n that are coprime to n."
# https://mathworld.wolfram.com/TotientFunction.html
# totient(12) → 4 because len([1, 5, 7, 11]) == 4
- for p in unique_justseen(factor(n)):
- n -= n // p
+ for prime in set(factor(n)):
+ n -= n // prime
return n