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# Python itertools adapted for Micropython by rkompass (2022)
# Largely, but not exclusively based on code from the offical Python documentation
# (https://docs.python.org/3/library/itertools.html)
# Copyright 2001-2019 Python Software Foundation; All Rights Reserved
# consumes about 5kB if imported
# accumulate([1,2,3,4,5]) --> 1 3 6 10 15
# accumulate([1,2,3,4,5], initial=100) --> 100 101 103 106 110 115
# accumulate([1,2,3,4,5], lambda x, y: x * y) --> 1 2 6 24 120
def accumulate(iterable, func=lambda x, y: x + y, initial=None):
it = iter(iterable)
total = initial
if initial is None:
try:
total = next(it)
except StopIteration:
return
yield total
for element in it:
total = func(total, element)
yield total
# chain('abcd',[],range(5))) --> 'a' 'b' 'c' 'd' 0 1 2 3 4
class chain:
def __init__(self, *iterables):
self.iterables = list(iterables)
self.it = iter([])
def __iter__(self):
return self
def __next__(self):
while True:
try:
return next(self.it)
except StopIteration:
try:
self.it = iter(self.iterables.pop(0))
continue
except IndexError:
raise StopIteration
# chain.from_iterable(['ABC', 'DEF']) --> 'A' 'B' 'C' 'D' 'E' 'F'
@staticmethod
def from_iterable(iterables):
for it in iterables:
yield from it
# combinations('ABCD', 2) --> ('A','B') ('A','C') ('A','D') ('B','C') ('B','D') ('C','D')
def combinations(iterable, r):
pool = tuple(iterable)
n = len(pool)
if r > n:
return
indices = list(range(r))
yield tuple(pool[i] for i in indices)
while True:
index = 0
for i in reversed(range(r)):
if indices[i] != i + n - r:
index = i
break
else:
return
indices[index] += 1
for j in range(index + 1, r):
indices[j] = indices[j - 1] + 1
yield tuple(pool[i] for i in indices)
# combinations_with_replacement('ABC', 2) --> ('A','A') ('A','B') ('A','C') ('B','B') ('B','C') ('C','C')
def combinations_with_replacement(iterable, r):
pool = tuple(iterable)
n = len(pool)
if not n and r:
return
indices = [0] * r
yield tuple(pool[i] for i in indices)
while True:
index = 0
for i in reversed(range(r)):
if indices[i] != n - 1:
index = i
break
else:
return
indices[index:] = [indices[index] + 1] * (r - index)
yield tuple(pool[i] for i in indices)
# compress('ABCDEF', [1,0,1,0,1,1]) --> A C E F
def compress(data, selectors):
return (d for d, s in zip(data, selectors) if s)
# count(4, 3) --> 4 7 10 13 16 19 ....
def count(start=0, step=1):
while True:
yield start
start += step
def cycle(p):
# cycle('abc') --> a b c a b c a b c a ....
def cycle(iterable):
try:
len(p)
except TypeError:
# len() is not defined for this type. Assume it is
# a finite iterable so we must cache the elements.
len(iterable)
except TypeError: # len() not defined: Assume p is a finite iterable: We cache the elements.
cache = []
for i in p:
for i in iterable:
yield i
cache.append(i)
p = cache
while p:
yield from p
iterable = cache
while iterable:
yield from iterable
def repeat(el, n=None):
if n is None:
# # dropwhile(lambda x: x<5, [1,4,6,4,1]) --> 6 4 1
def dropwhile(predicate, iterable):
it = iter(iterable)
for x in it:
if not predicate(x):
yield x
break
for x in it:
yield x
# filterfalse(lambda x: x%2, range(10)) --> 0 2 4 6 8
def filterfalse(predicate, iterable):
if predicate is None:
predicate = bool
for x in iterable:
if not predicate(x):
yield x
# groupby('aaaabbbccdaa'))) --> ('a', gen1) ('b', gen2) ('c', gen3) ('d', gen4) ('a', gen5)
# where gen1 --> a a a a, gen2 --> b b b, gen3 --> c c, gen4 --> d, gen5 --> a a
def groupby(iterable, key=None):
it = iter(iterable)
keyf = key if key is not None else lambda x: x
def ggen(ktgt):
nonlocal cur, kcur
while kcur == ktgt:
yield cur
try:
cur = next(it)
kcur = keyf(cur)
except StopIteration:
break
kcur = kold = object() # need an object that never can be a returned from key function
while True:
yield el
else:
for i in range(n):
yield el
def chain(*p):
for i in p:
yield from i
def islice(p, start, stop=(), step=1):
if stop == ():
stop = start
start = 0
# TODO: optimizing or breaking semantics?
if start >= stop:
while (
kcur == kold
): # not all iterables with the same (old) key were used up by ggen, so use them up here
try:
cur = next(it)
kcur = keyf(cur)
except StopIteration:
return
it = iter(p)
kold = kcur
yield (kcur, ggen(kcur))
# islice('abcdefghij', 2, None, 3)) --> c f i
# islice(range(10), 2, 6, 2)) --> 2 4
def islice(iterable, *sargs):
if len(sargs) < 1 or len(sargs) > 3:
raise TypeError(
"islice expected at least 2, at most 4 arguments, got {:d}".format(len(sargs) + 1)
)
step = 1 if len(sargs) < 3 else sargs[2]
step = 1 if step is None else step
if step <= 0:
raise ValueError("step for islice() must be a positive integer or None")
start = 0 if len(sargs) < 2 else sargs[0]
stop = sargs[0] if len(sargs) == 1 else sargs[1]
it = iter(iterable)
try:
for i in range(start):
next(it)
while True:
if stop is not None and start >= stop:
return
yield next(it)
for i in range(step - 1):
next(it)
start += step
if start >= stop:
except StopIteration:
return
def tee(iterable, n=2):
return [iter(iterable)] * n
# pairwise(range(5)) --> (0,1) (1,2) (2,3) (3,4)
# pairwise('abcdefg') --> ('a','b') ('b','c') ('c','d') ('d','e') ('e','f') ('f','g')
def pairwise(iterable):
it = iter(iterable)
try:
l = next(it)
while True:
c = next(it)
yield l, c
l = c
except StopIteration:
return
# permutations('ABCD', 2) --> AB AC AD BA BC BD CA CB CD DA DB DC
# permutations(range(3)) --> 012 021 102 120 201 210
def permutations(iterable, r=None):
pool = tuple(iterable)
n = len(pool)
r = n if r is None else r
if r > n:
return
indices = list(range(n))
cycles = list(range(n, n - r, -1))
yield tuple(pool[i] for i in indices[:r])
while n:
for i in reversed(range(r)):
cycles[i] -= 1
if cycles[i] == 0:
indices[i:] = indices[i + 1 :] + indices[i : i + 1]
cycles[i] = n - i
else:
j = cycles[i]
indices[i], indices[-j] = indices[-j], indices[i]
yield tuple(pool[i] for i in indices[:r])
break
else:
return
# product('ABCD', 'xy') --> ('A','x') ('A','y') ('B','x') ('B','y') ('C','x') ('C','y') ('D','x') ('D','y')
# product(range(2), repeat=3) --> 000 001 010 011 100 101 110 111 # but in tuples, of course
def product(*args, repeat=1):
pools = [tuple(pool) for pool in args] * repeat
result = [[]]
for pool in pools:
result = [x + [y] for x in result for y in pool]
for prod in result:
yield tuple(prod)
# repeat(10, 3) --> 10 10 10
def repeat(obj, times=None):
if times is None:
while True:
yield obj
else:
for _ in range(times):
yield obj
# starmap(pow, [(2,5), (3,2), (10,3)]) --> 32 9 1000
def starmap(function, iterable):
for args in iterable:
yield function(*args)
def accumulate(iterable, func=lambda x, y: x + y):
# takewhile(lambda x: x<5, [1,4,6,4,1]) --> 1 4
def takewhile(predicate, iterable):
for x in iterable:
if predicate(x):
yield x
else:
break
# tee(range(2,10), 3) --> (it1, it2, it3) all parallel generators, but dependent on original generator (e.g. range(2,10))
# --> (min(it1), max(it2), sum(it3)) --> (2, 9, 44)
def tee(iterable, n=2):
if iter(iterable) is not iter(
iterable
): # save buffer for special cases that iterable is range, tuple, list ...
return [iter(iterable) for _ in range(n)] # that have independent iterators
it = iter(iterable)
if n < 1:
return ()
elif n == 1:
return (it,)
buf = [] # Buffer, contains stored values from itr
ibuf = [0] * n # Indices of the individual generators, could be array('H', [0]*n)
def gen(k): # but we have no 0 in ibuf in MP
nonlocal buf, ibuf # These are bound to the generators as closures
while True:
if ibuf[k] < len(buf): # We get an object stored in the buffer.
r = buf[ibuf[k]]
ibuf[k] += 1
if ibuf[k] == 1: # If we got the first object in the buffer,
if 0 not in ibuf: # then check if other generators do not wait anymore on it
buf.pop(
0
) # so it may be popped left. Afterwards decrease all indices by 1.
for i in range(n):
ibuf[i] -= 1
elif ibuf[k] == len(buf):
try:
acc = next(it)
r = next(it)
buf.append(r)
ibuf[k] += 1
except StopIteration:
return
yield acc
for element in it:
acc = func(acc, element)
yield acc
yield r # The returned generators are not thread-safe. For that the access to the
return tuple(gen(i) for i in range(n)) # shared buf and ibuf should be protected by locks.
# zip_longest('ABCD', 'xy', fillvalue='-') --> ('A','x') ('B','y') ('C','-') ('D','-')
def zip_longest(*args, fillvalue=None):
iterators = [iter(it) for it in args]
num_active = len(iterators)
if not num_active:
return
while True:
values = []
for i, it in enumerate(iterators):
try:
value = next(it)
except StopIteration:
num_active -= 1
if not num_active:
return
iterators[i] = repeat(fillvalue)
value = fillvalue
values.append(value)
yield tuple(values)
# # Full analog of CPython builtin iter with 2 arguments
# def iter(*args):
#
# if len(args) == 1:
# return builtins.iter(args[0])
#
# class _iter:
#
# def __init__(self, args):
# self.f, self.sentinel = args
# def __next__(self):
# v = self.f()
# if v == self.sentinel:
# raise StopIteration
# return v
#
# return _iter(args)

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metadata(version="0.2.3")
metadata(version="0.5.0")
module("itertools.py")

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import itertools
assert list(itertools.islice(list(range(10)), 4)) == [0, 1, 2, 3]
assert list(itertools.islice(list(range(10)), 2, 6)) == [2, 3, 4, 5]
assert list(itertools.islice(list(range(10)), 2, 6, 2)) == [2, 4]
def g():
while True:
yield 123
assert list(itertools.islice(g(), 5)) == [123, 123, 123, 123, 123]
assert list(itertools.islice(itertools.cycle([1, 2, 3]), 10)) == [1, 2, 3, 1, 2, 3, 1, 2, 3, 1]
assert list(itertools.islice(itertools.cycle(reversed([1, 2, 3])), 7)) == [3, 2, 1, 3, 2, 1, 3]
assert list(itertools.starmap(lambda x, y: x * y, [[1, 2], [2, 3], [3, 4]])) == [2, 6, 12]
# accumulate
assert list(itertools.accumulate([])) == []
assert list(itertools.accumulate([0])) == [0]
assert list(itertools.accumulate([0, 2, 3])) == [0, 2, 5]
assert list(itertools.accumulate(reversed([0, 2, 3]))) == [3, 5, 5]
assert list(itertools.accumulate([1, 2, 3], lambda x, y: x * y)) == [1, 2, 6]
assert list(itertools.accumulate([1, 2, 3, 4, 5], func=lambda x, y: x - y, initial=10)) == [
10,
9,
7,
4,
0,
-5,
]
# chain
assert list(itertools.chain()) == []
assert list(itertools.chain([], [], [])) == []
assert list(itertools.chain(range(3), [2 * (i + 1) for i in range(4)])) == [0, 1, 2, 2, 4, 6, 8]
assert list(itertools.chain("abcd", [], range(5))) == ["a", "b", "c", "d", 0, 1, 2, 3, 4]
assert list(itertools.chain.from_iterable([])) == []
assert list(itertools.chain.from_iterable(["ABC", "DEF"])) == ["A", "B", "C", "D", "E", "F"]
# combinations
assert list(itertools.combinations("", 1)) == []
assert list(itertools.combinations("ABCD", 0)) == [()]
assert list(itertools.combinations("ABCD", 1)) == [("A",), ("B",), ("C",), ("D",)]
assert list(itertools.combinations("ABCD", 3)) == [
("A", "B", "C"),
("A", "B", "D"),
("A", "C", "D"),
("B", "C", "D"),
]
assert list(itertools.combinations("ABCD", 4)) == [("A", "B", "C", "D")]
assert list(itertools.combinations("ABCD", 5)) == []
assert len(list(itertools.combinations(range(7), 4))) == 35
assert len(set(itertools.combinations(range(7), 4))) == 35
# combinations with replacement
assert list(itertools.combinations_with_replacement("ABCD", 0)) == [()]
assert list(itertools.combinations_with_replacement("ABCD", 1)) == [("A",), ("B",), ("C",), ("D",)]
assert list(itertools.combinations_with_replacement("ABC", 2)) == [
("A", "A"),
("A", "B"),
("A", "C"),
("B", "B"),
("B", "C"),
("C", "C"),
]
assert list(itertools.combinations_with_replacement("ABC", 3)) == [
("A", "A", "A"),
("A", "A", "B"),
("A", "A", "C"),
("A", "B", "B"),
("A", "B", "C"),
("A", "C", "C"),
("B", "B", "B"),
("B", "B", "C"),
("B", "C", "C"),
("C", "C", "C"),
]
# compress
assert tuple(itertools.compress("ABCDEF", (1, 0, 1, 0, 1, 1))) == ("A", "C", "E", "F")
assert tuple(itertools.compress("ABCDEF", (1, 0, 1, 1, 0))) == ("A", "C", "D")
# count
it = itertools.count(4, 3)
for _ in range(200):
n = next(it)
assert list(next(it) for _ in range(5)) == [604, 607, 610, 613, 616]
# cycle
it = itertools.cycle(iter("abcde"))
assert list(next(it) for _ in range(12)) == [
"a",
"b",
"c",
"d",
"e",
"a",
"b",
"c",
"d",
"e",
"a",
"b",
]
it = itertools.cycle([2, 4, "x"])
assert list(next(it) for _ in range(7)) == [2, 4, "x", 2, 4, "x", 2]
# dropwhile
assert list(itertools.dropwhile(lambda x: x < 5, [1, 4, 6, 4, 1])) == [6, 4, 1]
assert list(itertools.dropwhile(lambda x: ord(x) < 118, "")) == []
assert list(itertools.dropwhile(lambda x: ord(x) < 118, "dropwhile")) == ["w", "h", "i", "l", "e"]
# filterfalse
assert list(itertools.filterfalse(lambda x: ord(x) < 110, "dropwhile")) == ["r", "o", "p", "w"]
# groupby
assert list(((k, "".join(g)) for k, g in itertools.groupby("aaaabbbccdaa"))) == [
("a", "aaaa"),
("b", "bbb"),
("c", "cc"),
("d", "d"),
("a", "aa"),
]
# islice
assert "".join(itertools.islice("", 2, 5)) == ""
assert "".join(itertools.islice("abcdefgh", 2, 5)) == "cde"
assert "".join(itertools.islice("abcdefghij", 2, None, 3)) == "cfi"
assert "".join(itertools.islice("abcdefghij", 2, None)) == "cdefghij"
assert "".join(itertools.islice("abcdefghij", 6)) == "abcdef"
assert "".join(itertools.islice("abcdefghij", 6, 6)) == ""
assert list(itertools.islice(range(10), 2, 6, 2)) == [2, 4]
assert list(itertools.islice(itertools.cycle([1, 2, 3]), 10)) == [1, 2, 3, 1, 2, 3, 1, 2, 3, 1]
# pairwise
assert list(itertools.pairwise(range(5))) == [(0, 1), (1, 2), (2, 3), (3, 4)]
assert list(("".join(t) for t in itertools.pairwise("abcdefg"))) == [
"ab",
"bc",
"cd",
"de",
"ef",
"fg",
]
assert list(("".join(t) for t in itertools.pairwise("ab"))) == ["ab"]
assert list(("".join(t) for t in itertools.pairwise("a"))) == []
assert list(("".join(t) for t in itertools.pairwise(""))) == []
# permutations
assert list(itertools.permutations("", 1)) == []
assert list(("".join(t) for t in itertools.permutations("a", 2))) == []
assert list(("".join(t) for t in itertools.permutations("abcd", 0))) == [""]
assert list(("".join(t) for t in itertools.permutations("ab", 2))) == ["ab", "ba"]
assert list(("".join(t) for t in itertools.permutations("abcd", 2))) == [
"ab",
"ac",
"ad",
"ba",
"bc",
"bd",
"ca",
"cb",
"cd",
"da",
"db",
"dc",
]
assert list(itertools.permutations(range(3))) == [
(0, 1, 2),
(0, 2, 1),
(1, 0, 2),
(1, 2, 0),
(2, 0, 1),
(2, 1, 0),
]
# product
assert list(itertools.product()) == [()]
assert list(itertools.product(range(2), repeat=0)) == [()]
assert list(("".join(t) for t in itertools.product("ABC", "xy"))) == [
"Ax",
"Ay",
"Bx",
"By",
"Cx",
"Cy",
]
assert list(("".join(t) for t in itertools.product("A", "xy", repeat=2))) == [
"AxAx",
"AxAy",
"AyAx",
"AyAy",
]
assert list(("".join(map(str, t)) for t in itertools.product(range(2), repeat=3))) == [
"000",
"001",
"010",
"011",
"100",
"101",
"110",
"111",
]
# repeat
assert list(itertools.repeat(10, 0)) == []
assert list(itertools.repeat(10, 1)) == [10]
assert list(itertools.repeat(10, 3)) == [10, 10, 10]
# starmap
assert list(itertools.starmap(pow, [])) == []
assert list(itertools.starmap(pow, [(2, 5), (3, 2), (10, 3)])) == [32, 9, 1000]
assert list(itertools.starmap(lambda x, y: x * y, [[1, 2], [2, 3], [3, 4]])) == [2, 6, 12]
# takewhile
assert list(itertools.takewhile(lambda x: x < 5, [1, 4, 6, 4, 1])) == [1, 4]
assert list(itertools.takewhile(lambda x: ord(x) < 118, "dropwhile")) == ["d", "r", "o", "p"]
# tee
def genx(n):
i = 1
while True:
yield i
i += 1
if i > n:
return
it1, it2, it3 = itertools.tee(genx(1000), 3)
_ = next(it1) # case of iterable that is unique; iterate once
assert [min(it1), max(it2), sum(it3)] == [2, 1000, 500500]
it1, it2, it3 = itertools.tee(range(2, 10), 3)
_ = next(it1) # iterable that is not unique; iterate once
assert [min(it1), max(it2), sum(it3)] == [
3,
9,
44,
] # the min is increased, other iterators remained full
# zip_longest
assert list(itertools.zip_longest("", "")) == []
assert list(itertools.zip_longest("", "", fillvalue="-")) == []
assert list(itertools.zip_longest("", "xy")) == [(None, "x"), (None, "y")]
assert list(itertools.zip_longest("", "xy", fillvalue="-")) == [("-", "x"), ("-", "y")]
assert list(itertools.zip_longest("ABCD", "xy", fillvalue="-")) == [
("A", "x"),
("B", "y"),
("C", "-"),
("D", "-"),
]