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the default range to end at 2**20 (machines are much faster now). Fixed what was quite a arguably a bug, explaining an old mystery: the "!sort" case here contructs what *was* a quadratic-time disaster for the old quicksort implementation. But under the current samplesort, it always ran much faster than *sort (the random case). This never made sense. Turns out it was because !sort was sorting an integer array, while all the other cases sort floats; and comparing ints goes much quicker than comparing floats in Python. After changing !sort to chew on floats instead, it's now slower than the random sort case, which makes more sense (but is just a few percent slower; samplesort is massively less sensitive to "bad patterns" than quicksort).
152 lines
4.1 KiB
Python
152 lines
4.1 KiB
Python
"""Sort performance test.
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See main() for command line syntax.
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See tabulate() for output format.
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"""
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import sys
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import time
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import random
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import marshal
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import tempfile
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import os
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td = tempfile.gettempdir()
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def randfloats(n):
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"""Return a list of n random floats in [0, 1)."""
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# Generating floats is expensive, so this writes them out to a file in
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# a temp directory. If the file already exists, it just reads them
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# back in and shuffles them a bit.
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fn = os.path.join(td, "rr%06d" % n)
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try:
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fp = open(fn, "rb")
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except IOError:
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r = random.random
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result = [r() for i in xrange(n)]
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try:
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try:
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fp = open(fn, "wb")
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marshal.dump(result, fp)
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fp.close()
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fp = None
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finally:
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if fp:
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try:
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os.unlink(fn)
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except os.error:
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pass
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except IOError, msg:
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print "can't write", fn, ":", msg
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else:
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result = marshal.load(fp)
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fp.close()
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# Shuffle it a bit...
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for i in range(10):
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i = random.randrange(n)
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temp = result[:i]
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del result[:i]
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temp.reverse()
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result.extend(temp)
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del temp
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assert len(result) == n
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return result
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def flush():
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sys.stdout.flush()
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def doit(L):
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t0 = time.clock()
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L.sort()
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t1 = time.clock()
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print "%6.2f" % (t1-t0),
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flush()
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def tabulate(r):
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"""Tabulate sort speed for lists of various sizes.
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The sizes are 2**i for i in r (the argument, a list).
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The output displays i, 2**i, and the time to sort arrays of 2**i
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floating point numbers with the following properties:
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*sort: random data
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\sort: descending data
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/sort: ascending data
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~sort: many duplicates
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=sort: all equal
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!sort: worst case scenario
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"""
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cases = ("*sort", "\\sort", "/sort", "~sort", "=sort", "!sort")
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fmt = ("%2s %7s" + " %6s"*len(cases))
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print fmt % (("i", "2**i") + cases)
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for i in r:
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n = 1 << i
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L = randfloats(n)
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print "%2d %7d" % (i, n),
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flush()
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doit(L) # *sort
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L.reverse()
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doit(L) # \sort
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doit(L) # /sort
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# Arrange for lots of duplicates.
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if n > 4:
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del L[4:]
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L = L * (n // 4)
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# Force the elements to be distinct objects, else timings can be
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# artificially low.
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L = map(lambda x: --x, L)
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doit(L) # ~sort
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del L
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# All equal. Again, force the elements to be distinct objects.
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L = map(abs, [-0.5] * n)
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doit(L) # =sort
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del L
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# This one looks like [3, 2, 1, 0, 0, 1, 2, 3]. It was a bad case
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# for an older implementation of quicksort, which used the median
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# of the first, last and middle elements as the pivot. It's still
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# a worse-than-average case for samplesort, but on the order of a
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# measly 5% worse, not a quadratic-time disaster as it was with
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# quicksort.
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half = n // 2
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L = range(half - 1, -1, -1)
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L.extend(range(half))
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# Force to float, so that the timings are comparable. This is
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# significantly faster if we leave tham as ints.
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L = map(float, L)
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doit(L) # !sort
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print
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def main():
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"""Main program when invoked as a script.
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One argument: tabulate a single row.
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Two arguments: tabulate a range (inclusive).
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Extra arguments are used to seed the random generator.
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"""
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# default range (inclusive)
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k1 = 15
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k2 = 20
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if sys.argv[1:]:
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# one argument: single point
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k1 = k2 = int(sys.argv[1])
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if sys.argv[2:]:
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# two arguments: specify range
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k2 = int(sys.argv[2])
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if sys.argv[3:]:
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# derive random seed from remaining arguments
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x = 1
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for a in sys.argv[3:]:
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x = 69069 * x + hash(a)
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random.seed(x)
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r = range(k1, k2+1) # include the end point
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tabulate(r)
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if __name__ == '__main__':
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main()
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