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from array import array
from random import Random

class BloomFilter:
    # http://en.wikipedia.org/wiki/Bloom_filter

    def __init__(self, num_bits, num_probes):
        num_words = (num_bits + 31) // 32
        self.arr = array('L', [0]) * num_words
        self.num_probes = num_probes

    def get_probes(self, key):
        hasher = Random(key).randrange
        for _ in range(self.num_probes):
            array_index = hasher(len(self.arr))
            bit_index = hasher(32)
            yield array_index, 1 << bit_index

    def add(self, key):
        for i, mask in self.get_probes(key):
            self.arr[i] |= mask

    def __contains__(self, key):
        return all(self.arr[i] & mask for i, mask in self.get_probes(key))


if __name__ == '__main__':

    from random import sample
    from string import ascii_letters

    states = '''Alabama Alaska Arizona Arkansas California Colorado Connecticut
        Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas
        Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota
        Mississippi Missouri Montana Nebraska Nevada NewHampshire NewJersey
        NewMexico NewYork NorthCarolina NorthDakota Ohio Oklahoma Oregon
        Pennsylvania RhodeIsland SouthCarolina SouthDakota Tennessee Texas Utah
        Vermont Virginia Washington WestVirginia Wisconsin Wyoming'''.split()

    bf = BloomFilter(num_bits=1000, num_probes=14)
    for state in states:
        bf.add(state)

    m = sum(state in bf for state in states)
    print('%d true positives out of %d trials' % (m, len(states)))

    trials = 100000
    m = sum(''.join(sample(ascii_letters, 5)) in bf for i in range(trials))
    print('%d true negatives and %d false negatives out of %d trials'
          % (trials-m, m, trials))

Diff to Previous Revision

--- revision 2 2011-05-04 17:53:16
+++ revision 3 2011-05-05 01:13:15
@@ -1,12 +1,8 @@
 from array import array
-from hashlib import sha512
-try:
-    from pickle import dumps     # py3.x version
-except ImportError:
-    from cPickle import dumps    # py2.x version
+from random import Random
 
 class BloomFilter:
-    'http://en.wikipedia.org/wiki/Bloom_filter'
+    # http://en.wikipedia.org/wiki/Bloom_filter
 
     def __init__(self, num_bits, num_probes):
         num_words = (num_bits + 31) // 32
@@ -14,11 +10,10 @@
         self.num_probes = num_probes
 
     def get_probes(self, key):
-        h = int(sha512(dumps(key)).hexdigest(), 16)
-        num_words = len(self.arr)
-        for i in range(self.num_probes):
-            h, array_index = divmod(h, num_words)
-            h, bit_index = divmod(h, 32)
+        hasher = Random(key).randrange
+        for _ in range(self.num_probes):
+            array_index = hasher(len(self.arr))
+            bit_index = hasher(32)
             yield array_index, 1 << bit_index
 
     def add(self, key):
@@ -46,8 +41,10 @@
     for state in states:
         bf.add(state)
 
-    assert all(state in bf for state in states)    # Verify True Positives
+    m = sum(state in bf for state in states)
+    print('%d true positives out of %d trials' % (m, len(states)))
 
-    n = 100000
-    m = sum(''.join(sample(ascii_letters, 5)) in bf for i in range(n))
-    print('%d :: %d' % (n-m, m))    # Ratio of True Negatives to False Positives
+    trials = 100000
+    m = sum(''.join(sample(ascii_letters, 5)) in bf for i in range(trials))
+    print('%d true negatives and %d false negatives out of %d trials'
+          % (trials-m, m, trials))

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