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d5f4359458
at random, and replaces the elements at those positions with new random values. I was pleasantly surprised by how fast this goes! It's hard to conceive of an algorithm that could special-case for this effectively. Plus it's exactly what happens if a burst of gamma rays corrupts your sorted database on disk <wink>. i 2**i *sort ... %sort 15 32768 0.18 ... 0.03 16 65536 0.24 ... 0.04 17 131072 0.53 ... 0.08 18 262144 1.17 ... 0.16 19 524288 2.56 ... 0.35 20 1048576 5.54 ... 0.77
170 lines
4.6 KiB
Python
170 lines
4.6 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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3sort: ascending, then 3 random exchanges
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+sort: ascending, then 10 random at the end
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%sort: ascending, then randomly replace 1% of the elements w/ random values
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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 = tuple([ch + "sort" for ch in r"*\/3+%~=!"])
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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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# Do 3 random exchanges.
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for dummy in range(3):
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i1 = random.randrange(n)
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i2 = random.randrange(n)
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L[i1], L[i2] = L[i2], L[i1]
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doit(L) # 3sort
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# Replace the last 10 with random floats.
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if n >= 10:
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L[-10:] = [random.random() for dummy in range(10)]
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doit(L) # +sort
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# Replace 1% of the elements at random.
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for dummy in xrange(n // 100):
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L[random.randrange(n)] = random.random()
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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.
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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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