symbian-qemu-0.9.1-12/python-2.6.1/Lib/test/test_itertools.py
author Gareth Stockwell <gareth.stockwell@accenture.com>
Wed, 22 Sep 2010 15:40:40 +0100
branchgraphics-phase-3
changeset 111 345f1c88c950
parent 1 2fb8b9db1c86
permissions -rw-r--r--
Fixes to syborg-graphicswrapper.vcproj These changes allow syborg-graphicswrapper to link against the hostthreadadapter and khronosapiwrapper libraries built by the graphics.simulator component. The .vcproj file uses relative paths, which requires that the following three packages are laid out as follows: os/ graphics adapt/ graphics.simulator qemu

import unittest
from test import test_support
from itertools import *
from weakref import proxy
import sys
import operator
import random
maxsize = test_support.MAX_Py_ssize_t
minsize = -maxsize-1

def onearg(x):
    'Test function of one argument'
    return 2*x

def errfunc(*args):
    'Test function that raises an error'
    raise ValueError

def gen3():
    'Non-restartable source sequence'
    for i in (0, 1, 2):
        yield i

def isEven(x):
    'Test predicate'
    return x%2==0

def isOdd(x):
    'Test predicate'
    return x%2==1

class StopNow:
    'Class emulating an empty iterable.'
    def __iter__(self):
        return self
    def next(self):
        raise StopIteration

def take(n, seq):
    'Convenience function for partially consuming a long of infinite iterable'
    return list(islice(seq, n))

def prod(iterable):
    return reduce(operator.mul, iterable, 1)

def fact(n):
    'Factorial'
    return prod(range(1, n+1))

class TestBasicOps(unittest.TestCase):
    def test_chain(self):

        def chain2(*iterables):
            'Pure python version in the docs'
            for it in iterables:
                for element in it:
                    yield element

        for c in (chain, chain2):
            self.assertEqual(list(c('abc', 'def')), list('abcdef'))
            self.assertEqual(list(c('abc')), list('abc'))
            self.assertEqual(list(c('')), [])
            self.assertEqual(take(4, c('abc', 'def')), list('abcd'))
            self.assertRaises(TypeError, list,c(2, 3))

    def test_chain_from_iterable(self):
        self.assertEqual(list(chain.from_iterable(['abc', 'def'])), list('abcdef'))
        self.assertEqual(list(chain.from_iterable(['abc'])), list('abc'))
        self.assertEqual(list(chain.from_iterable([''])), [])
        self.assertEqual(take(4, chain.from_iterable(['abc', 'def'])), list('abcd'))
        self.assertRaises(TypeError, list, chain.from_iterable([2, 3]))

    def test_combinations(self):
        self.assertRaises(TypeError, combinations, 'abc')   # missing r argument
        self.assertRaises(TypeError, combinations, 'abc', 2, 1) # too many arguments
        self.assertRaises(TypeError, combinations, None)        # pool is not iterable
        self.assertRaises(ValueError, combinations, 'abc', -2)  # r is negative
        self.assertRaises(ValueError, combinations, 'abc', 32)  # r is too big
        self.assertEqual(list(combinations(range(4), 3)),
                                           [(0,1,2), (0,1,3), (0,2,3), (1,2,3)])

        def combinations1(iterable, r):
            'Pure python version shown in the docs'
            pool = tuple(iterable)
            n = len(pool)
            indices = range(r)
            yield tuple(pool[i] for i in indices)
            while 1:
                for i in reversed(range(r)):
                    if indices[i] != i + n - r:
                        break
                else:
                    return
                indices[i] += 1
                for j in range(i+1, r):
                    indices[j] = indices[j-1] + 1
                yield tuple(pool[i] for i in indices)

        def combinations2(iterable, r):
            'Pure python version shown in the docs'
            pool = tuple(iterable)
            n = len(pool)
            for indices in permutations(range(n), r):
                if sorted(indices) == list(indices):
                    yield tuple(pool[i] for i in indices)

        for n in range(7):
            values = [5*x-12 for x in range(n)]
            for r in range(n+1):
                result = list(combinations(values, r))
                self.assertEqual(len(result), fact(n) / fact(r) / fact(n-r)) # right number of combs
                self.assertEqual(len(result), len(set(result)))         # no repeats
                self.assertEqual(result, sorted(result))                # lexicographic order
                for c in result:
                    self.assertEqual(len(c), r)                         # r-length combinations
                    self.assertEqual(len(set(c)), r)                    # no duplicate elements
                    self.assertEqual(list(c), sorted(c))                # keep original ordering
                    self.assert_(all(e in values for e in c))           # elements taken from input iterable
                    self.assertEqual(list(c),
                                     [e for e in values if e in c])      # comb is a subsequence of the input iterable
                self.assertEqual(result, list(combinations1(values, r))) # matches first pure python version
                self.assertEqual(result, list(combinations2(values, r))) # matches first pure python version

        # Test implementation detail:  tuple re-use
        self.assertEqual(len(set(map(id, combinations('abcde', 3)))), 1)
        self.assertNotEqual(len(set(map(id, list(combinations('abcde', 3))))), 1)

    def test_permutations(self):
        self.assertRaises(TypeError, permutations)              # too few arguments
        self.assertRaises(TypeError, permutations, 'abc', 2, 1) # too many arguments
        self.assertRaises(TypeError, permutations, None)        # pool is not iterable
        self.assertRaises(ValueError, permutations, 'abc', -2)  # r is negative
        self.assertRaises(ValueError, permutations, 'abc', 32)  # r is too big
        self.assertRaises(TypeError, permutations, 'abc', 's')  # r is not an int or None
        self.assertEqual(list(permutations(range(3), 2)),
                                           [(0,1), (0,2), (1,0), (1,2), (2,0), (2,1)])

        def permutations1(iterable, r=None):
            'Pure python version shown in the docs'
            pool = tuple(iterable)
            n = len(pool)
            r = n if r is None else r
            indices = range(n)
            cycles = 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

        def permutations2(iterable, r=None):
            'Pure python version shown in the docs'
            pool = tuple(iterable)
            n = len(pool)
            r = n if r is None else r
            for indices in product(range(n), repeat=r):
                if len(set(indices)) == r:
                    yield tuple(pool[i] for i in indices)

        for n in range(7):
            values = [5*x-12 for x in range(n)]
            for r in range(n+1):
                result = list(permutations(values, r))
                self.assertEqual(len(result), fact(n) / fact(n-r))      # right number of perms
                self.assertEqual(len(result), len(set(result)))         # no repeats
                self.assertEqual(result, sorted(result))                # lexicographic order
                for p in result:
                    self.assertEqual(len(p), r)                         # r-length permutations
                    self.assertEqual(len(set(p)), r)                    # no duplicate elements
                    self.assert_(all(e in values for e in p))           # elements taken from input iterable
                self.assertEqual(result, list(permutations1(values, r))) # matches first pure python version
                self.assertEqual(result, list(permutations2(values, r))) # matches first pure python version
                if r == n:
                    self.assertEqual(result, list(permutations(values, None))) # test r as None
                    self.assertEqual(result, list(permutations(values)))       # test default r

        # Test implementation detail:  tuple re-use
        self.assertEqual(len(set(map(id, permutations('abcde', 3)))), 1)
        self.assertNotEqual(len(set(map(id, list(permutations('abcde', 3))))), 1)

    def test_count(self):
        self.assertEqual(zip('abc',count()), [('a', 0), ('b', 1), ('c', 2)])
        self.assertEqual(zip('abc',count(3)), [('a', 3), ('b', 4), ('c', 5)])
        self.assertEqual(take(2, zip('abc',count(3))), [('a', 3), ('b', 4)])
        self.assertEqual(take(2, zip('abc',count(-1))), [('a', -1), ('b', 0)])
        self.assertEqual(take(2, zip('abc',count(-3))), [('a', -3), ('b', -2)])
        self.assertRaises(TypeError, count, 2, 3)
        self.assertRaises(TypeError, count, 'a')
        self.assertEqual(list(islice(count(maxsize-5), 10)), range(maxsize-5, maxsize+5))
        self.assertEqual(list(islice(count(-maxsize-5), 10)), range(-maxsize-5, -maxsize+5))
        c = count(3)
        self.assertEqual(repr(c), 'count(3)')
        c.next()
        self.assertEqual(repr(c), 'count(4)')
        c = count(-9)
        self.assertEqual(repr(c), 'count(-9)')
        c.next()
        self.assertEqual(c.next(), -8)
        for i in (-sys.maxint-5, -sys.maxint+5 ,-10, -1, 0, 10, sys.maxint-5, sys.maxint+5):
            # Test repr (ignoring the L in longs)
            r1 = repr(count(i)).replace('L', '')
            r2 = 'count(%r)'.__mod__(i).replace('L', '')
            self.assertEqual(r1, r2)

    def test_cycle(self):
        self.assertEqual(take(10, cycle('abc')), list('abcabcabca'))
        self.assertEqual(list(cycle('')), [])
        self.assertRaises(TypeError, cycle)
        self.assertRaises(TypeError, cycle, 5)
        self.assertEqual(list(islice(cycle(gen3()),10)), [0,1,2,0,1,2,0,1,2,0])

    def test_groupby(self):
        # Check whether it accepts arguments correctly
        self.assertEqual([], list(groupby([])))
        self.assertEqual([], list(groupby([], key=id)))
        self.assertRaises(TypeError, list, groupby('abc', []))
        self.assertRaises(TypeError, groupby, None)
        self.assertRaises(TypeError, groupby, 'abc', lambda x:x, 10)

        # Check normal input
        s = [(0, 10, 20), (0, 11,21), (0,12,21), (1,13,21), (1,14,22),
             (2,15,22), (3,16,23), (3,17,23)]
        dup = []
        for k, g in groupby(s, lambda r:r[0]):
            for elem in g:
                self.assertEqual(k, elem[0])
                dup.append(elem)
        self.assertEqual(s, dup)

        # Check nested case
        dup = []
        for k, g in groupby(s, lambda r:r[0]):
            for ik, ig in groupby(g, lambda r:r[2]):
                for elem in ig:
                    self.assertEqual(k, elem[0])
                    self.assertEqual(ik, elem[2])
                    dup.append(elem)
        self.assertEqual(s, dup)

        # Check case where inner iterator is not used
        keys = [k for k, g in groupby(s, lambda r:r[0])]
        expectedkeys = set([r[0] for r in s])
        self.assertEqual(set(keys), expectedkeys)
        self.assertEqual(len(keys), len(expectedkeys))

        # Exercise pipes and filters style
        s = 'abracadabra'
        # sort s | uniq
        r = [k for k, g in groupby(sorted(s))]
        self.assertEqual(r, ['a', 'b', 'c', 'd', 'r'])
        # sort s | uniq -d
        r = [k for k, g in groupby(sorted(s)) if list(islice(g,1,2))]
        self.assertEqual(r, ['a', 'b', 'r'])
        # sort s | uniq -c
        r = [(len(list(g)), k) for k, g in groupby(sorted(s))]
        self.assertEqual(r, [(5, 'a'), (2, 'b'), (1, 'c'), (1, 'd'), (2, 'r')])
        # sort s | uniq -c | sort -rn | head -3
        r = sorted([(len(list(g)) , k) for k, g in groupby(sorted(s))], reverse=True)[:3]
        self.assertEqual(r, [(5, 'a'), (2, 'r'), (2, 'b')])

        # iter.next failure
        class ExpectedError(Exception):
            pass
        def delayed_raise(n=0):
            for i in range(n):
                yield 'yo'
            raise ExpectedError
        def gulp(iterable, keyp=None, func=list):
            return [func(g) for k, g in groupby(iterable, keyp)]

        # iter.next failure on outer object
        self.assertRaises(ExpectedError, gulp, delayed_raise(0))
        # iter.next failure on inner object
        self.assertRaises(ExpectedError, gulp, delayed_raise(1))

        # __cmp__ failure
        class DummyCmp:
            def __cmp__(self, dst):
                raise ExpectedError
        s = [DummyCmp(), DummyCmp(), None]

        # __cmp__ failure on outer object
        self.assertRaises(ExpectedError, gulp, s, func=id)
        # __cmp__ failure on inner object
        self.assertRaises(ExpectedError, gulp, s)

        # keyfunc failure
        def keyfunc(obj):
            if keyfunc.skip > 0:
                keyfunc.skip -= 1
                return obj
            else:
                raise ExpectedError

        # keyfunc failure on outer object
        keyfunc.skip = 0
        self.assertRaises(ExpectedError, gulp, [None], keyfunc)
        keyfunc.skip = 1
        self.assertRaises(ExpectedError, gulp, [None, None], keyfunc)

    def test_ifilter(self):
        self.assertEqual(list(ifilter(isEven, range(6))), [0,2,4])
        self.assertEqual(list(ifilter(None, [0,1,0,2,0])), [1,2])
        self.assertEqual(list(ifilter(bool, [0,1,0,2,0])), [1,2])
        self.assertEqual(take(4, ifilter(isEven, count())), [0,2,4,6])
        self.assertRaises(TypeError, ifilter)
        self.assertRaises(TypeError, ifilter, lambda x:x)
        self.assertRaises(TypeError, ifilter, lambda x:x, range(6), 7)
        self.assertRaises(TypeError, ifilter, isEven, 3)
        self.assertRaises(TypeError, ifilter(range(6), range(6)).next)

    def test_ifilterfalse(self):
        self.assertEqual(list(ifilterfalse(isEven, range(6))), [1,3,5])
        self.assertEqual(list(ifilterfalse(None, [0,1,0,2,0])), [0,0,0])
        self.assertEqual(list(ifilterfalse(bool, [0,1,0,2,0])), [0,0,0])
        self.assertEqual(take(4, ifilterfalse(isEven, count())), [1,3,5,7])
        self.assertRaises(TypeError, ifilterfalse)
        self.assertRaises(TypeError, ifilterfalse, lambda x:x)
        self.assertRaises(TypeError, ifilterfalse, lambda x:x, range(6), 7)
        self.assertRaises(TypeError, ifilterfalse, isEven, 3)
        self.assertRaises(TypeError, ifilterfalse(range(6), range(6)).next)

    def test_izip(self):
        ans = [(x,y) for x, y in izip('abc',count())]
        self.assertEqual(ans, [('a', 0), ('b', 1), ('c', 2)])
        self.assertEqual(list(izip('abc', range(6))), zip('abc', range(6)))
        self.assertEqual(list(izip('abcdef', range(3))), zip('abcdef', range(3)))
        self.assertEqual(take(3,izip('abcdef', count())), zip('abcdef', range(3)))
        self.assertEqual(list(izip('abcdef')), zip('abcdef'))
        self.assertEqual(list(izip()), zip())
        self.assertRaises(TypeError, izip, 3)
        self.assertRaises(TypeError, izip, range(3), 3)
        # Check tuple re-use (implementation detail)
        self.assertEqual([tuple(list(pair)) for pair in izip('abc', 'def')],
                         zip('abc', 'def'))
        self.assertEqual([pair for pair in izip('abc', 'def')],
                         zip('abc', 'def'))
        ids = map(id, izip('abc', 'def'))
        self.assertEqual(min(ids), max(ids))
        ids = map(id, list(izip('abc', 'def')))
        self.assertEqual(len(dict.fromkeys(ids)), len(ids))

    def test_iziplongest(self):
        for args in [
                ['abc', range(6)],
                [range(6), 'abc'],
                [range(1000), range(2000,2100), range(3000,3050)],
                [range(1000), range(0), range(3000,3050), range(1200), range(1500)],
                [range(1000), range(0), range(3000,3050), range(1200), range(1500), range(0)],
            ]:
            target = map(None, *args)
            self.assertEqual(list(izip_longest(*args)), target)
            self.assertEqual(list(izip_longest(*args, **{})), target)
            target = [tuple((e is None and 'X' or e) for e in t) for t in target]   # Replace None fills with 'X'
            self.assertEqual(list(izip_longest(*args, **dict(fillvalue='X'))), target)

        self.assertEqual(take(3,izip_longest('abcdef', count())), zip('abcdef', range(3))) # take 3 from infinite input

        self.assertEqual(list(izip_longest()), zip())
        self.assertEqual(list(izip_longest([])), zip([]))
        self.assertEqual(list(izip_longest('abcdef')), zip('abcdef'))

        self.assertEqual(list(izip_longest('abc', 'defg', **{})), map(None, 'abc', 'defg')) # empty keyword dict
        self.assertRaises(TypeError, izip_longest, 3)
        self.assertRaises(TypeError, izip_longest, range(3), 3)

        for stmt in [
            "izip_longest('abc', fv=1)",
            "izip_longest('abc', fillvalue=1, bogus_keyword=None)",
        ]:
            try:
                eval(stmt, globals(), locals())
            except TypeError:
                pass
            else:
                self.fail('Did not raise Type in:  ' + stmt)

        # Check tuple re-use (implementation detail)
        self.assertEqual([tuple(list(pair)) for pair in izip_longest('abc', 'def')],
                         zip('abc', 'def'))
        self.assertEqual([pair for pair in izip_longest('abc', 'def')],
                         zip('abc', 'def'))
        ids = map(id, izip_longest('abc', 'def'))
        self.assertEqual(min(ids), max(ids))
        ids = map(id, list(izip_longest('abc', 'def')))
        self.assertEqual(len(dict.fromkeys(ids)), len(ids))

    def test_product(self):
        for args, result in [
            ([], [()]),                     # zero iterables
            (['ab'], [('a',), ('b',)]),     # one iterable
            ([range(2), range(3)], [(0,0), (0,1), (0,2), (1,0), (1,1), (1,2)]),     # two iterables
            ([range(0), range(2), range(3)], []),           # first iterable with zero length
            ([range(2), range(0), range(3)], []),           # middle iterable with zero length
            ([range(2), range(3), range(0)], []),           # last iterable with zero length
            ]:
            self.assertEqual(list(product(*args)), result)
            for r in range(4):
                self.assertEqual(list(product(*(args*r))),
                                 list(product(*args, **dict(repeat=r))))
        self.assertEqual(len(list(product(*[range(7)]*6))), 7**6)
        self.assertRaises(TypeError, product, range(6), None)

        def product1(*args, **kwds):
            pools = map(tuple, args) * kwds.get('repeat', 1)
            n = len(pools)
            if n == 0:
                yield ()
                return
            if any(len(pool) == 0 for pool in pools):
                return
            indices = [0] * n
            yield tuple(pool[i] for pool, i in zip(pools, indices))
            while 1:
                for i in reversed(range(n)):  # right to left
                    if indices[i] == len(pools[i]) - 1:
                        continue
                    indices[i] += 1
                    for j in range(i+1, n):
                        indices[j] = 0
                    yield tuple(pool[i] for pool, i in zip(pools, indices))
                    break
                else:
                    return

        def product2(*args, **kwds):
            'Pure python version used in docs'
            pools = map(tuple, args) * kwds.get('repeat', 1)
            result = [[]]
            for pool in pools:
                result = [x+[y] for x in result for y in pool]
            for prod in result:
                yield tuple(prod)

        argtypes = ['', 'abc', '', xrange(0), xrange(4), dict(a=1, b=2, c=3),
                    set('abcdefg'), range(11), tuple(range(13))]
        for i in range(100):
            args = [random.choice(argtypes) for j in range(random.randrange(5))]
            expected_len = prod(map(len, args))
            self.assertEqual(len(list(product(*args))), expected_len)
            self.assertEqual(list(product(*args)), list(product1(*args)))
            self.assertEqual(list(product(*args)), list(product2(*args)))
            args = map(iter, args)
            self.assertEqual(len(list(product(*args))), expected_len)

        # Test implementation detail:  tuple re-use
        self.assertEqual(len(set(map(id, product('abc', 'def')))), 1)
        self.assertNotEqual(len(set(map(id, list(product('abc', 'def'))))), 1)

    def test_repeat(self):
        self.assertEqual(zip(xrange(3),repeat('a')),
                         [(0, 'a'), (1, 'a'), (2, 'a')])
        self.assertEqual(list(repeat('a', 3)), ['a', 'a', 'a'])
        self.assertEqual(take(3, repeat('a')), ['a', 'a', 'a'])
        self.assertEqual(list(repeat('a', 0)), [])
        self.assertEqual(list(repeat('a', -3)), [])
        self.assertRaises(TypeError, repeat)
        self.assertRaises(TypeError, repeat, None, 3, 4)
        self.assertRaises(TypeError, repeat, None, 'a')
        r = repeat(1+0j)
        self.assertEqual(repr(r), 'repeat((1+0j))')
        r = repeat(1+0j, 5)
        self.assertEqual(repr(r), 'repeat((1+0j), 5)')
        list(r)
        self.assertEqual(repr(r), 'repeat((1+0j), 0)')

    def test_imap(self):
        self.assertEqual(list(imap(operator.pow, range(3), range(1,7))),
                         [0**1, 1**2, 2**3])
        self.assertEqual(list(imap(None, 'abc', range(5))),
                         [('a',0),('b',1),('c',2)])
        self.assertEqual(list(imap(None, 'abc', count())),
                         [('a',0),('b',1),('c',2)])
        self.assertEqual(take(2,imap(None, 'abc', count())),
                         [('a',0),('b',1)])
        self.assertEqual(list(imap(operator.pow, [])), [])
        self.assertRaises(TypeError, imap)
        self.assertRaises(TypeError, imap, operator.neg)
        self.assertRaises(TypeError, imap(10, range(5)).next)
        self.assertRaises(ValueError, imap(errfunc, [4], [5]).next)
        self.assertRaises(TypeError, imap(onearg, [4], [5]).next)

    def test_starmap(self):
        self.assertEqual(list(starmap(operator.pow, zip(range(3), range(1,7)))),
                         [0**1, 1**2, 2**3])
        self.assertEqual(take(3, starmap(operator.pow, izip(count(), count(1)))),
                         [0**1, 1**2, 2**3])
        self.assertEqual(list(starmap(operator.pow, [])), [])
        self.assertEqual(list(starmap(operator.pow, [iter([4,5])])), [4**5])
        self.assertRaises(TypeError, list, starmap(operator.pow, [None]))
        self.assertRaises(TypeError, starmap)
        self.assertRaises(TypeError, starmap, operator.pow, [(4,5)], 'extra')
        self.assertRaises(TypeError, starmap(10, [(4,5)]).next)
        self.assertRaises(ValueError, starmap(errfunc, [(4,5)]).next)
        self.assertRaises(TypeError, starmap(onearg, [(4,5)]).next)

    def test_islice(self):
        for args in [          # islice(args) should agree with range(args)
                (10, 20, 3),
                (10, 3, 20),
                (10, 20),
                (10, 3),
                (20,)
                ]:
            self.assertEqual(list(islice(xrange(100), *args)), range(*args))

        for args, tgtargs in [  # Stop when seqn is exhausted
                ((10, 110, 3), ((10, 100, 3))),
                ((10, 110), ((10, 100))),
                ((110,), (100,))
                ]:
            self.assertEqual(list(islice(xrange(100), *args)), range(*tgtargs))

        # Test stop=None
        self.assertEqual(list(islice(xrange(10), None)), range(10))
        self.assertEqual(list(islice(xrange(10), None, None)), range(10))
        self.assertEqual(list(islice(xrange(10), None, None, None)), range(10))
        self.assertEqual(list(islice(xrange(10), 2, None)), range(2, 10))
        self.assertEqual(list(islice(xrange(10), 1, None, 2)), range(1, 10, 2))

        # Test number of items consumed     SF #1171417
        it = iter(range(10))
        self.assertEqual(list(islice(it, 3)), range(3))
        self.assertEqual(list(it), range(3, 10))

        # Test invalid arguments
        self.assertRaises(TypeError, islice, xrange(10))
        self.assertRaises(TypeError, islice, xrange(10), 1, 2, 3, 4)
        self.assertRaises(ValueError, islice, xrange(10), -5, 10, 1)
        self.assertRaises(ValueError, islice, xrange(10), 1, -5, -1)
        self.assertRaises(ValueError, islice, xrange(10), 1, 10, -1)
        self.assertRaises(ValueError, islice, xrange(10), 1, 10, 0)
        self.assertRaises(ValueError, islice, xrange(10), 'a')
        self.assertRaises(ValueError, islice, xrange(10), 'a', 1)
        self.assertRaises(ValueError, islice, xrange(10), 1, 'a')
        self.assertRaises(ValueError, islice, xrange(10), 'a', 1, 1)
        self.assertRaises(ValueError, islice, xrange(10), 1, 'a', 1)
        self.assertEqual(len(list(islice(count(), 1, 10, maxsize))), 1)

    def test_takewhile(self):
        data = [1, 3, 5, 20, 2, 4, 6, 8]
        underten = lambda x: x<10
        self.assertEqual(list(takewhile(underten, data)), [1, 3, 5])
        self.assertEqual(list(takewhile(underten, [])), [])
        self.assertRaises(TypeError, takewhile)
        self.assertRaises(TypeError, takewhile, operator.pow)
        self.assertRaises(TypeError, takewhile, operator.pow, [(4,5)], 'extra')
        self.assertRaises(TypeError, takewhile(10, [(4,5)]).next)
        self.assertRaises(ValueError, takewhile(errfunc, [(4,5)]).next)
        t = takewhile(bool, [1, 1, 1, 0, 0, 0])
        self.assertEqual(list(t), [1, 1, 1])
        self.assertRaises(StopIteration, t.next)

    def test_dropwhile(self):
        data = [1, 3, 5, 20, 2, 4, 6, 8]
        underten = lambda x: x<10
        self.assertEqual(list(dropwhile(underten, data)), [20, 2, 4, 6, 8])
        self.assertEqual(list(dropwhile(underten, [])), [])
        self.assertRaises(TypeError, dropwhile)
        self.assertRaises(TypeError, dropwhile, operator.pow)
        self.assertRaises(TypeError, dropwhile, operator.pow, [(4,5)], 'extra')
        self.assertRaises(TypeError, dropwhile(10, [(4,5)]).next)
        self.assertRaises(ValueError, dropwhile(errfunc, [(4,5)]).next)

    def test_tee(self):
        n = 200
        def irange(n):
            for i in xrange(n):
                yield i

        a, b = tee([])        # test empty iterator
        self.assertEqual(list(a), [])
        self.assertEqual(list(b), [])

        a, b = tee(irange(n)) # test 100% interleaved
        self.assertEqual(zip(a,b), zip(range(n),range(n)))

        a, b = tee(irange(n)) # test 0% interleaved
        self.assertEqual(list(a), range(n))
        self.assertEqual(list(b), range(n))

        a, b = tee(irange(n)) # test dealloc of leading iterator
        for i in xrange(100):
            self.assertEqual(a.next(), i)
        del a
        self.assertEqual(list(b), range(n))

        a, b = tee(irange(n)) # test dealloc of trailing iterator
        for i in xrange(100):
            self.assertEqual(a.next(), i)
        del b
        self.assertEqual(list(a), range(100, n))

        for j in xrange(5):   # test randomly interleaved
            order = [0]*n + [1]*n
            random.shuffle(order)
            lists = ([], [])
            its = tee(irange(n))
            for i in order:
                value = its[i].next()
                lists[i].append(value)
            self.assertEqual(lists[0], range(n))
            self.assertEqual(lists[1], range(n))

        # test argument format checking
        self.assertRaises(TypeError, tee)
        self.assertRaises(TypeError, tee, 3)
        self.assertRaises(TypeError, tee, [1,2], 'x')
        self.assertRaises(TypeError, tee, [1,2], 3, 'x')

        # tee object should be instantiable
        a, b = tee('abc')
        c = type(a)('def')
        self.assertEqual(list(c), list('def'))

        # test long-lagged and multi-way split
        a, b, c = tee(xrange(2000), 3)
        for i in xrange(100):
            self.assertEqual(a.next(), i)
        self.assertEqual(list(b), range(2000))
        self.assertEqual([c.next(), c.next()], range(2))
        self.assertEqual(list(a), range(100,2000))
        self.assertEqual(list(c), range(2,2000))

        # test values of n
        self.assertRaises(TypeError, tee, 'abc', 'invalid')
        self.assertRaises(ValueError, tee, [], -1)
        for n in xrange(5):
            result = tee('abc', n)
            self.assertEqual(type(result), tuple)
            self.assertEqual(len(result), n)
            self.assertEqual(map(list, result), [list('abc')]*n)

        # tee pass-through to copyable iterator
        a, b = tee('abc')
        c, d = tee(a)
        self.assert_(a is c)

        # test tee_new
        t1, t2 = tee('abc')
        tnew = type(t1)
        self.assertRaises(TypeError, tnew)
        self.assertRaises(TypeError, tnew, 10)
        t3 = tnew(t1)
        self.assert_(list(t1) == list(t2) == list(t3) == list('abc'))

        # test that tee objects are weak referencable
        a, b = tee(xrange(10))
        p = proxy(a)
        self.assertEqual(getattr(p, '__class__'), type(b))
        del a
        self.assertRaises(ReferenceError, getattr, p, '__class__')

    def test_StopIteration(self):
        self.assertRaises(StopIteration, izip().next)

        for f in (chain, cycle, izip, groupby):
            self.assertRaises(StopIteration, f([]).next)
            self.assertRaises(StopIteration, f(StopNow()).next)

        self.assertRaises(StopIteration, islice([], None).next)
        self.assertRaises(StopIteration, islice(StopNow(), None).next)

        p, q = tee([])
        self.assertRaises(StopIteration, p.next)
        self.assertRaises(StopIteration, q.next)
        p, q = tee(StopNow())
        self.assertRaises(StopIteration, p.next)
        self.assertRaises(StopIteration, q.next)

        self.assertRaises(StopIteration, repeat(None, 0).next)

        for f in (ifilter, ifilterfalse, imap, takewhile, dropwhile, starmap):
            self.assertRaises(StopIteration, f(lambda x:x, []).next)
            self.assertRaises(StopIteration, f(lambda x:x, StopNow()).next)

class TestExamples(unittest.TestCase):

    def test_chain(self):
        self.assertEqual(''.join(chain('ABC', 'DEF')), 'ABCDEF')

    def test_chain_from_iterable(self):
        self.assertEqual(''.join(chain.from_iterable(['ABC', 'DEF'])), 'ABCDEF')

    def test_combinations(self):
        self.assertEqual(list(combinations('ABCD', 2)),
                         [('A','B'), ('A','C'), ('A','D'), ('B','C'), ('B','D'), ('C','D')])
        self.assertEqual(list(combinations(range(4), 3)),
                         [(0,1,2), (0,1,3), (0,2,3), (1,2,3)])

    def test_count(self):
        self.assertEqual(list(islice(count(10), 5)), [10, 11, 12, 13, 14])

    def test_cycle(self):
        self.assertEqual(list(islice(cycle('ABCD'), 12)), list('ABCDABCDABCD'))

    def test_dropwhile(self):
        self.assertEqual(list(dropwhile(lambda x: x<5, [1,4,6,4,1])), [6,4,1])

    def test_groupby(self):
        self.assertEqual([k for k, g in groupby('AAAABBBCCDAABBB')],
                         list('ABCDAB'))
        self.assertEqual([(list(g)) for k, g in groupby('AAAABBBCCD')],
                         [list('AAAA'), list('BBB'), list('CC'), list('D')])

    def test_ifilter(self):
        self.assertEqual(list(ifilter(lambda x: x%2, range(10))), [1,3,5,7,9])

    def test_ifilterfalse(self):
        self.assertEqual(list(ifilterfalse(lambda x: x%2, range(10))), [0,2,4,6,8])

    def test_imap(self):
        self.assertEqual(list(imap(pow, (2,3,10), (5,2,3))), [32, 9, 1000])

    def test_islice(self):
        self.assertEqual(list(islice('ABCDEFG', 2)), list('AB'))
        self.assertEqual(list(islice('ABCDEFG', 2, 4)), list('CD'))
        self.assertEqual(list(islice('ABCDEFG', 2, None)), list('CDEFG'))
        self.assertEqual(list(islice('ABCDEFG', 0, None, 2)), list('ACEG'))

    def test_izip(self):
        self.assertEqual(list(izip('ABCD', 'xy')), [('A', 'x'), ('B', 'y')])

    def test_izip_longest(self):
        self.assertEqual(list(izip_longest('ABCD', 'xy', fillvalue='-')),
                         [('A', 'x'), ('B', 'y'), ('C', '-'), ('D', '-')])

    def test_permutations(self):
        self.assertEqual(list(permutations('ABCD', 2)),
                         map(tuple, 'AB AC AD BA BC BD CA CB CD DA DB DC'.split()))
        self.assertEqual(list(permutations(range(3))),
                         [(0,1,2), (0,2,1), (1,0,2), (1,2,0), (2,0,1), (2,1,0)])

    def test_product(self):
        self.assertEqual(list(product('ABCD', 'xy')),
                         map(tuple, 'Ax Ay Bx By Cx Cy Dx Dy'.split()))
        self.assertEqual(list(product(range(2), repeat=3)),
                        [(0,0,0), (0,0,1), (0,1,0), (0,1,1),
                         (1,0,0), (1,0,1), (1,1,0), (1,1,1)])

    def test_repeat(self):
        self.assertEqual(list(repeat(10, 3)), [10, 10, 10])

    def test_stapmap(self):
        self.assertEqual(list(starmap(pow, [(2,5), (3,2), (10,3)])),
                         [32, 9, 1000])

    def test_takewhile(self):
        self.assertEqual(list(takewhile(lambda x: x<5, [1,4,6,4,1])), [1,4])


class TestGC(unittest.TestCase):

    def makecycle(self, iterator, container):
        container.append(iterator)
        iterator.next()
        del container, iterator

    def test_chain(self):
        a = []
        self.makecycle(chain(a), a)

    def test_chain_from_iterable(self):
        a = []
        self.makecycle(chain.from_iterable([a]), a)

    def test_combinations(self):
        a = []
        self.makecycle(combinations([1,2,a,3], 3), a)

    def test_cycle(self):
        a = []
        self.makecycle(cycle([a]*2), a)

    def test_dropwhile(self):
        a = []
        self.makecycle(dropwhile(bool, [0, a, a]), a)

    def test_groupby(self):
        a = []
        self.makecycle(groupby([a]*2, lambda x:x), a)

    def test_issue2246(self):
        # Issue 2246 -- the _grouper iterator was not included in GC
        n = 10
        keyfunc = lambda x: x
        for i, j in groupby(xrange(n), key=keyfunc):
            keyfunc.__dict__.setdefault('x',[]).append(j)

    def test_ifilter(self):
        a = []
        self.makecycle(ifilter(lambda x:True, [a]*2), a)

    def test_ifilterfalse(self):
        a = []
        self.makecycle(ifilterfalse(lambda x:False, a), a)

    def test_izip(self):
        a = []
        self.makecycle(izip([a]*2, [a]*3), a)

    def test_izip_longest(self):
        a = []
        self.makecycle(izip_longest([a]*2, [a]*3), a)
        b = [a, None]
        self.makecycle(izip_longest([a]*2, [a]*3, fillvalue=b), a)

    def test_imap(self):
        a = []
        self.makecycle(imap(lambda x:x, [a]*2), a)

    def test_islice(self):
        a = []
        self.makecycle(islice([a]*2, None), a)

    def test_permutations(self):
        a = []
        self.makecycle(permutations([1,2,a,3], 3), a)

    def test_product(self):
        a = []
        self.makecycle(product([1,2,a,3], repeat=3), a)

    def test_repeat(self):
        a = []
        self.makecycle(repeat(a), a)

    def test_starmap(self):
        a = []
        self.makecycle(starmap(lambda *t: t, [(a,a)]*2), a)

    def test_takewhile(self):
        a = []
        self.makecycle(takewhile(bool, [1, 0, a, a]), a)

def R(seqn):
    'Regular generator'
    for i in seqn:
        yield i

class G:
    'Sequence using __getitem__'
    def __init__(self, seqn):
        self.seqn = seqn
    def __getitem__(self, i):
        return self.seqn[i]

class I:
    'Sequence using iterator protocol'
    def __init__(self, seqn):
        self.seqn = seqn
        self.i = 0
    def __iter__(self):
        return self
    def next(self):
        if self.i >= len(self.seqn): raise StopIteration
        v = self.seqn[self.i]
        self.i += 1
        return v

class Ig:
    'Sequence using iterator protocol defined with a generator'
    def __init__(self, seqn):
        self.seqn = seqn
        self.i = 0
    def __iter__(self):
        for val in self.seqn:
            yield val

class X:
    'Missing __getitem__ and __iter__'
    def __init__(self, seqn):
        self.seqn = seqn
        self.i = 0
    def next(self):
        if self.i >= len(self.seqn): raise StopIteration
        v = self.seqn[self.i]
        self.i += 1
        return v

class N:
    'Iterator missing next()'
    def __init__(self, seqn):
        self.seqn = seqn
        self.i = 0
    def __iter__(self):
        return self

class E:
    'Test propagation of exceptions'
    def __init__(self, seqn):
        self.seqn = seqn
        self.i = 0
    def __iter__(self):
        return self
    def next(self):
        3 // 0

class S:
    'Test immediate stop'
    def __init__(self, seqn):
        pass
    def __iter__(self):
        return self
    def next(self):
        raise StopIteration

def L(seqn):
    'Test multiple tiers of iterators'
    return chain(imap(lambda x:x, R(Ig(G(seqn)))))


class TestVariousIteratorArgs(unittest.TestCase):

    def test_chain(self):
        for s in ("123", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(chain(g(s))), list(g(s)))
                self.assertEqual(list(chain(g(s), g(s))), list(g(s))+list(g(s)))
            self.assertRaises(TypeError, list, chain(X(s)))
            self.assertRaises(TypeError, list, chain(N(s)))
            self.assertRaises(ZeroDivisionError, list, chain(E(s)))

    def test_product(self):
        for s in ("123", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            self.assertRaises(TypeError, product, X(s))
            self.assertRaises(TypeError, product, N(s))
            self.assertRaises(ZeroDivisionError, product, E(s))

    def test_cycle(self):
        for s in ("123", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                tgtlen = len(s) * 3
                expected = list(g(s))*3
                actual = list(islice(cycle(g(s)), tgtlen))
                self.assertEqual(actual, expected)
            self.assertRaises(TypeError, cycle, X(s))
            self.assertRaises(TypeError, list, cycle(N(s)))
            self.assertRaises(ZeroDivisionError, list, cycle(E(s)))

    def test_groupby(self):
        for s in (range(10), range(0), range(1000), (7,11), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual([k for k, sb in groupby(g(s))], list(g(s)))
            self.assertRaises(TypeError, groupby, X(s))
            self.assertRaises(TypeError, list, groupby(N(s)))
            self.assertRaises(ZeroDivisionError, list, groupby(E(s)))

    def test_ifilter(self):
        for s in (range(10), range(0), range(1000), (7,11), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(ifilter(isEven, g(s))), filter(isEven, g(s)))
            self.assertRaises(TypeError, ifilter, isEven, X(s))
            self.assertRaises(TypeError, list, ifilter(isEven, N(s)))
            self.assertRaises(ZeroDivisionError, list, ifilter(isEven, E(s)))

    def test_ifilterfalse(self):
        for s in (range(10), range(0), range(1000), (7,11), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(ifilterfalse(isEven, g(s))), filter(isOdd, g(s)))
            self.assertRaises(TypeError, ifilterfalse, isEven, X(s))
            self.assertRaises(TypeError, list, ifilterfalse(isEven, N(s)))
            self.assertRaises(ZeroDivisionError, list, ifilterfalse(isEven, E(s)))

    def test_izip(self):
        for s in ("123", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(izip(g(s))), zip(g(s)))
                self.assertEqual(list(izip(g(s), g(s))), zip(g(s), g(s)))
            self.assertRaises(TypeError, izip, X(s))
            self.assertRaises(TypeError, list, izip(N(s)))
            self.assertRaises(ZeroDivisionError, list, izip(E(s)))

    def test_iziplongest(self):
        for s in ("123", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(izip_longest(g(s))), zip(g(s)))
                self.assertEqual(list(izip_longest(g(s), g(s))), zip(g(s), g(s)))
            self.assertRaises(TypeError, izip_longest, X(s))
            self.assertRaises(TypeError, list, izip_longest(N(s)))
            self.assertRaises(ZeroDivisionError, list, izip_longest(E(s)))

    def test_imap(self):
        for s in (range(10), range(0), range(100), (7,11), xrange(20,50,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(imap(onearg, g(s))), map(onearg, g(s)))
                self.assertEqual(list(imap(operator.pow, g(s), g(s))), map(operator.pow, g(s), g(s)))
            self.assertRaises(TypeError, imap, onearg, X(s))
            self.assertRaises(TypeError, list, imap(onearg, N(s)))
            self.assertRaises(ZeroDivisionError, list, imap(onearg, E(s)))

    def test_islice(self):
        for s in ("12345", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                self.assertEqual(list(islice(g(s),1,None,2)), list(g(s))[1::2])
            self.assertRaises(TypeError, islice, X(s), 10)
            self.assertRaises(TypeError, list, islice(N(s), 10))
            self.assertRaises(ZeroDivisionError, list, islice(E(s), 10))

    def test_starmap(self):
        for s in (range(10), range(0), range(100), (7,11), xrange(20,50,5)):
            for g in (G, I, Ig, S, L, R):
                ss = zip(s, s)
                self.assertEqual(list(starmap(operator.pow, g(ss))), map(operator.pow, g(s), g(s)))
            self.assertRaises(TypeError, starmap, operator.pow, X(ss))
            self.assertRaises(TypeError, list, starmap(operator.pow, N(ss)))
            self.assertRaises(ZeroDivisionError, list, starmap(operator.pow, E(ss)))

    def test_takewhile(self):
        for s in (range(10), range(0), range(1000), (7,11), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                tgt = []
                for elem in g(s):
                    if not isEven(elem): break
                    tgt.append(elem)
                self.assertEqual(list(takewhile(isEven, g(s))), tgt)
            self.assertRaises(TypeError, takewhile, isEven, X(s))
            self.assertRaises(TypeError, list, takewhile(isEven, N(s)))
            self.assertRaises(ZeroDivisionError, list, takewhile(isEven, E(s)))

    def test_dropwhile(self):
        for s in (range(10), range(0), range(1000), (7,11), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                tgt = []
                for elem in g(s):
                    if not tgt and isOdd(elem): continue
                    tgt.append(elem)
                self.assertEqual(list(dropwhile(isOdd, g(s))), tgt)
            self.assertRaises(TypeError, dropwhile, isOdd, X(s))
            self.assertRaises(TypeError, list, dropwhile(isOdd, N(s)))
            self.assertRaises(ZeroDivisionError, list, dropwhile(isOdd, E(s)))

    def test_tee(self):
        for s in ("123", "", range(1000), ('do', 1.2), xrange(2000,2200,5)):
            for g in (G, I, Ig, S, L, R):
                it1, it2 = tee(g(s))
                self.assertEqual(list(it1), list(g(s)))
                self.assertEqual(list(it2), list(g(s)))
            self.assertRaises(TypeError, tee, X(s))
            self.assertRaises(TypeError, list, tee(N(s))[0])
            self.assertRaises(ZeroDivisionError, list, tee(E(s))[0])

class LengthTransparency(unittest.TestCase):

    def test_repeat(self):
        from test.test_iterlen import len
        self.assertEqual(len(repeat(None, 50)), 50)
        self.assertRaises(TypeError, len, repeat(None))

class RegressionTests(unittest.TestCase):

    def test_sf_793826(self):
        # Fix Armin Rigo's successful efforts to wreak havoc

        def mutatingtuple(tuple1, f, tuple2):
            # this builds a tuple t which is a copy of tuple1,
            # then calls f(t), then mutates t to be equal to tuple2
            # (needs len(tuple1) == len(tuple2)).
            def g(value, first=[1]):
                if first:
                    del first[:]
                    f(z.next())
                return value
            items = list(tuple2)
            items[1:1] = list(tuple1)
            gen = imap(g, items)
            z = izip(*[gen]*len(tuple1))
            z.next()

        def f(t):
            global T
            T = t
            first[:] = list(T)

        first = []
        mutatingtuple((1,2,3), f, (4,5,6))
        second = list(T)
        self.assertEqual(first, second)


    def test_sf_950057(self):
        # Make sure that chain() and cycle() catch exceptions immediately
        # rather than when shifting between input sources

        def gen1():
            hist.append(0)
            yield 1
            hist.append(1)
            raise AssertionError
            hist.append(2)

        def gen2(x):
            hist.append(3)
            yield 2
            hist.append(4)
            if x:
                raise StopIteration

        hist = []
        self.assertRaises(AssertionError, list, chain(gen1(), gen2(False)))
        self.assertEqual(hist, [0,1])

        hist = []
        self.assertRaises(AssertionError, list, chain(gen1(), gen2(True)))
        self.assertEqual(hist, [0,1])

        hist = []
        self.assertRaises(AssertionError, list, cycle(gen1()))
        self.assertEqual(hist, [0,1])

class SubclassWithKwargsTest(unittest.TestCase):
    def test_keywords_in_subclass(self):
        # count is not subclassable...
        for cls in (repeat, izip, ifilter, ifilterfalse, chain, imap,
                    starmap, islice, takewhile, dropwhile, cycle):
            class Subclass(cls):
                def __init__(self, newarg=None, *args):
                    cls.__init__(self, *args)
            try:
                Subclass(newarg=1)
            except TypeError, err:
                # we expect type errors because of wrong argument count
                self.failIf("does not take keyword arguments" in err.args[0])


libreftest = """ Doctest for examples in the library reference: libitertools.tex


>>> amounts = [120.15, 764.05, 823.14]
>>> for checknum, amount in izip(count(1200), amounts):
...     print 'Check %d is for $%.2f' % (checknum, amount)
...
Check 1200 is for $120.15
Check 1201 is for $764.05
Check 1202 is for $823.14

>>> import operator
>>> for cube in imap(operator.pow, xrange(1,4), repeat(3)):
...    print cube
...
1
8
27

>>> reportlines = ['EuroPython', 'Roster', '', 'alex', '', 'laura', '', 'martin', '', 'walter', '', 'samuele']
>>> for name in islice(reportlines, 3, None, 2):
...    print name.title()
...
Alex
Laura
Martin
Walter
Samuele

>>> from operator import itemgetter
>>> d = dict(a=1, b=2, c=1, d=2, e=1, f=2, g=3)
>>> di = sorted(sorted(d.iteritems()), key=itemgetter(1))
>>> for k, g in groupby(di, itemgetter(1)):
...     print k, map(itemgetter(0), g)
...
1 ['a', 'c', 'e']
2 ['b', 'd', 'f']
3 ['g']

# Find runs of consecutive numbers using groupby.  The key to the solution
# is differencing with a range so that consecutive numbers all appear in
# same group.
>>> data = [ 1,  4,5,6, 10, 15,16,17,18, 22, 25,26,27,28]
>>> for k, g in groupby(enumerate(data), lambda (i,x):i-x):
...     print map(operator.itemgetter(1), g)
...
[1]
[4, 5, 6]
[10]
[15, 16, 17, 18]
[22]
[25, 26, 27, 28]

>>> def take(n, iterable):
...     "Return first n items of the iterable as a list"
...     return list(islice(iterable, n))

>>> def enumerate(iterable, start=0):
...     return izip(count(start), iterable)

>>> def tabulate(function, start=0):
...     "Return function(0), function(1), ..."
...     return imap(function, count(start))

>>> def nth(iterable, n):
...     "Returns the nth item or empty list"
...     return list(islice(iterable, n, n+1))

>>> def quantify(iterable, pred=bool):
...     "Count how many times the predicate is true"
...     return sum(imap(pred, iterable))

>>> def padnone(iterable):
...     "Returns the sequence elements and then returns None indefinitely"
...     return chain(iterable, repeat(None))

>>> def ncycles(iterable, n):
...     "Returns the seqeuence elements n times"
...     return chain(*repeat(iterable, n))

>>> def dotproduct(vec1, vec2):
...     return sum(imap(operator.mul, vec1, vec2))

>>> def flatten(listOfLists):
...     return list(chain.from_iterable(listOfLists))

>>> def repeatfunc(func, times=None, *args):
...     "Repeat calls to func with specified arguments."
...     "   Example:  repeatfunc(random.random)"
...     if times is None:
...         return starmap(func, repeat(args))
...     else:
...         return starmap(func, repeat(args, times))

>>> def pairwise(iterable):
...     "s -> (s0,s1), (s1,s2), (s2, s3), ..."
...     a, b = tee(iterable)
...     for elem in b:
...         break
...     return izip(a, b)

>>> def grouper(n, iterable, fillvalue=None):
...     "grouper(3, 'ABCDEFG', 'x') --> ABC DEF Gxx"
...     args = [iter(iterable)] * n
...     return izip_longest(fillvalue=fillvalue, *args)

>>> def roundrobin(*iterables):
...     "roundrobin('ABC', 'D', 'EF') --> A D E B F C"
...     # Recipe credited to George Sakkis
...     pending = len(iterables)
...     nexts = cycle(iter(it).next for it in iterables)
...     while pending:
...         try:
...             for next in nexts:
...                 yield next()
...         except StopIteration:
...             pending -= 1
...             nexts = cycle(islice(nexts, pending))

>>> def powerset(iterable):
...     "powerset('ab') --> set([]), set(['a']), set(['b']), set(['a', 'b'])"
...     # Recipe credited to Eric Raymond
...     pairs = [(2**i, x) for i, x in enumerate(iterable)]
...     for n in xrange(2**len(pairs)):
...         yield set(x for m, x in pairs if m&n)

>>> def compress(data, selectors):
...     "compress('ABCDEF', [1,0,1,0,1,1]) --> A C E F"
...     return (d for d, s in izip(data, selectors) if s)

>>> def combinations_with_replacement(iterable, r):
...     "combinations_with_replacement('ABC', 3) --> AA AB AC BB BC CC"
...     pool = tuple(iterable)
...     n = len(pool)
...     indices = [0] * r
...     yield tuple(pool[i] for i in indices)
...     while 1:
...         for i in reversed(range(r)):
...             if indices[i] != n - 1:
...                 break
...         else:
...             return
...         indices[i:] = [indices[i] + 1] * (r - i)
...         yield tuple(pool[i] for i in indices)

This is not part of the examples but it tests to make sure the definitions
perform as purported.

>>> take(10, count())
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

>>> list(enumerate('abc'))
[(0, 'a'), (1, 'b'), (2, 'c')]

>>> list(islice(tabulate(lambda x: 2*x), 4))
[0, 2, 4, 6]

>>> nth('abcde', 3)
['d']

>>> quantify(xrange(99), lambda x: x%2==0)
50

>>> a = [[1, 2, 3], [4, 5, 6]]
>>> flatten(a)
[1, 2, 3, 4, 5, 6]

>>> list(repeatfunc(pow, 5, 2, 3))
[8, 8, 8, 8, 8]

>>> import random
>>> take(5, imap(int, repeatfunc(random.random)))
[0, 0, 0, 0, 0]

>>> list(pairwise('abcd'))
[('a', 'b'), ('b', 'c'), ('c', 'd')]

>>> list(pairwise([]))
[]

>>> list(pairwise('a'))
[]

>>> list(islice(padnone('abc'), 0, 6))
['a', 'b', 'c', None, None, None]

>>> list(ncycles('abc', 3))
['a', 'b', 'c', 'a', 'b', 'c', 'a', 'b', 'c']

>>> dotproduct([1,2,3], [4,5,6])
32

>>> list(grouper(3, 'abcdefg', 'x'))
[('a', 'b', 'c'), ('d', 'e', 'f'), ('g', 'x', 'x')]

>>> list(roundrobin('abc', 'd', 'ef'))
['a', 'd', 'e', 'b', 'f', 'c']

>>> map(sorted, powerset('ab'))
[[], ['a'], ['b'], ['a', 'b']]

>>> list(compress('abcdef', [1,0,1,0,1,1]))
['a', 'c', 'e', 'f']

>>> list(combinations_with_replacement('abc', 2))
[('a', 'a'), ('a', 'b'), ('a', 'c'), ('b', 'b'), ('b', 'c'), ('c', 'c')]

"""

__test__ = {'libreftest' : libreftest}

def test_main(verbose=None):
    test_classes = (TestBasicOps, TestVariousIteratorArgs, TestGC,
                    RegressionTests, LengthTransparency,
                    SubclassWithKwargsTest, TestExamples)
    test_support.run_unittest(*test_classes)

    # verify reference counting
    if verbose and hasattr(sys, "gettotalrefcount"):
        import gc
        counts = [None] * 5
        for i in xrange(len(counts)):
            test_support.run_unittest(*test_classes)
            gc.collect()
            counts[i] = sys.gettotalrefcount()
        print counts

    # doctest the examples in the library reference
    test_support.run_doctest(sys.modules[__name__], verbose)

if __name__ == "__main__":
    test_main(verbose=True)