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Pool.map is Handy.

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Processes and queues are the way to go to scale software performance. But I also recently found out about pool.map, which allows you to write less code (you don’t have to do anything with Queue) and get similar effects.

The basic usage is pool.map(some_func, some_iterable) and it works like map, returning a list of the results. So,pool.map(is_prime, [2, 3, 4, 5]) would return [True, True, False, True]. There’s also an itertools.imap equivalent which returns an iterable and lets you work on any size iterable you want.

Given a primes_for_list function that returns a list containing the primes in the supplied list. And a chunks function which splits a list into sublists of size n:

Calculating Primes With pool.map

def use_pool_for_primes(l, chunk_size=1000):
    Finds primes in the provided list and returns a list of
    those primes in the order provided.
    Uses pool.map
    pool = multiprocessing.Pool()
    parts = pool.map(primes_for_list, chunks(l, chunk_size))
    return list(itertools.chain(*parts))
$ python use_of_pool.py multi
78498 primes &< 1000000. Calculated in 2.426864s
148933 primes &< 2000000. Calculated in 6.764274s
283146 primes &< 4000000. Calculated in 19.203458s
412849 primes &< 6000000. Calculated in 38.047622s
539777 primes &< 8000000. Calculated in 60.967163s
664579 primes &< 10000000. Calculated in 87.283632s

Using Unordered Map

imap_unordered (and then sorting them), seems to squeeze a little more performance out:

def use_pool_unordered_for_primes(l, chunk_size=1000):
    """
    Finds primes in the provided list and returns an ordered list
    of those primes.
    Uses pool.imap_unordered
    """
    pool = multiprocessing.Pool()
    parts = pool.imap_unordered(primes_for_list,
        chunks(l, chunk_size))
    return sorted(list(itertools.chain(*parts)))
$ python use_of_pool.py unordered
78498 primes &< 1000000. Calculated in 2.222123s
148933 primes &< 2000000. Calculated in 6.13618s
283146 primes &< 4000000. Calculated in 17.588184s
412849 primes &< 6000000. Calculated in 35.159868s
539777 primes &< 8000000. Calculated in 56.629323s
664579 primes &< 10000000. Calculated in 75.582824s

How Fast Would It Be In A Single Process?

def primes_for_list(l):
    return [i for i in l if is_prime(i)]
78498 primes &< 1000000. Calculated in 9.630087s
148933 primes &< 2000000. Calculated in 26.764138s
283146 primes &< 4000000. Calculated in 76.268092s
412849 primes &< 6000000. Calculated in 139.234455s
539777 primes &< 8000000. Calculated in 217.067968s
664579 primes &< 10000000. Calculated in 302.099861s

The Full Code

from datetime import datetime
import itertools
import multiprocessing
import sys
def is_prime(n):
    if n < 2:
        return False
    if n < 4:
        return True
    check_factors_max = int(n ** 0.5) + 1
    for i in range(2, check_factors_max):
        is_factor = n % i == 0
        if is_factor:
            return False
    return True
def chunks(l, chunk_size=1000):
    i = 0
    keep_going = True
    while keep_going:
        start = i
        end = i + chunk_size
        if end > len(l):
            end = len(l)
            keep_going = False
        yield l[start:end]
        i += chunk_size
def primes_for_list(l):
    return [i for i in l if is_prime(i)]
def use_pool_for_primes(l, chunk_size=1000):
    """
    Finds primes in the provided list and returns a list of those primes in the
    order provided.
    Uses pool.map
    """
    pool = multiprocessing.Pool()
    parts = pool.map(primes_for_list, chunks(l, chunk_size))
    return list(itertools.chain(*parts))
def use_pool_unordered_for_primes(l, chunk_size=1000):
    """
    Finds primes in the provided list and returns an ordered list of those
    primes.
    Uses pool.imap_unordered
    """
    pool = multiprocessing.Pool()
    parts = pool.imap_unordered(primes_for_list, chunks(l, chunk_size))
    return sorted(list(itertools.chain(*parts)))
if __name__ == '__main__':
    method = sys.argv[1]
    method_dict = {
            'one': primes_for_list,
            'multi': use_pool_for_primes,
            'unordered': use_pool_unordered_for_primes,
            }
    for n in range(1000000, 10000001, 1000000):
        before = datetime.now()
        primes = method_dict[method](range(n))
        seconds_elapsed = (datetime.now() - before).total_seconds()
        print '%s primes < %s. Calculated in %ss' % (len(primes), n,
                seconds_elapsed)

and I tested it with these tests:

class TestPrimes(object):
    primes_lt_1000 = [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, 101, 103, 107, 109, 113,
            127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191,
            193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263,
            269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347,
            349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421,
            431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499,
            503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593,
            599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661,
            673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757,
            761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853,
            857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941,
            947, 953, 967, 971, 977, 983, 991, 997,]
    def test_primes_is_accurate(self):
        primes = primes_for_list(range(1000))
        assert(primes == TestPrimes.primes_lt_1000)
    def test_use_pool_for_primes(self):
        primes = use_pool_for_primes(range(1000), 100)
        assert(primes == TestPrimes.primes_lt_1000)
    def test_use_pool_unordered_for_primes(self):
        primes = use_pool_unordered_for_primes(range(1000), 100)
        assert(primes == TestPrimes.primes_lt_1000)
    def test_chunks(self):
        l = [1, 2, 3, 4, 5, 6, 7]
        assert([[1, 2], [3, 4], [5, 6], [7]] == [c for c in chunks(l, 2)])
        assert([[1, 2, 3, 4, 5, 6, 7]] == [c for c in chunks(l, 8)])

So there you have it pool.map is a simple way to use all those cores. This almost devolved into a how big a game of life can we compute, but maybe I’ll do that next time.

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