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len(self.bits) == len(other.bits) + return self.bits < other.bits + + def __repr__(self): + return repr(self.bits) + +class Weight: + def __init__(self, x: int): + self.x = x + + def __iadd__(self, other): + self.x += other.x + + def __repr__(self): + return repr(self.x) + + def __eq__(self, other): + return self.x == other.x + + def __ge__(self, other): + return self.x >= other.x + + +def mastic_func(measurements: list[tuple[Index, Weight]], + prefixes: list[Index]) -> dict[Index, Weight]: + ''' + Compute the total weight for each prefix for the set of + measurements. + ''' + r: dict[Index, Weight] = {} + for (alpha, beta) in measurements: + for p in prefixes: + if p.is_prefix(alpha): + w = r.setdefault(p, Weight(0)) + w += beta + return r + +def weighted_heavy_hitters(measurements: list[tuple[Index, Weight]], + threshold: Weight, + bit_len: int) -> list[Index]: + ''' + Compute the weighted heavy hitters for the given threshold. + ''' + prefixes = [Index(0), Index(1)] + for level in range(bit_len): + next_prefixes = [] + for (p, w) in mastic_func(measurements, prefixes).items(): + if w >= threshold: + if level < bit_len - 1: + next_prefixes.append(p.left_child()) + next_prefixes.append(p.right_child()) + else: + next_prefixes.append(p) + prefixes = next_prefixes + return sorted(prefixes) diff --git a/talks/test_func.py b/talks/test_func.py new file mode 100644 index 0000000..6f5d689 --- /dev/null +++ b/talks/test_func.py @@ -0,0 +1,41 @@ +import unittest + +from func import Index, Weight, mastic_func, weighted_heavy_hitters + +class TestIndex(unittest.TestCase): + def test_is_prefx(self): + self.assertTrue(Index(0, 0, 1).is_prefix(Index(0, 0, 1, 0))) + self.assertFalse(Index(1, 0, 1).is_prefix(Index(0, 0, 1, 0))) + self.assertFalse(Index(0, 0, 1, 0).is_prefix(Index(0, 0, 1))) + +class TestFunc(unittest.TestCase): + def test(self): + measurements = [ + (Index(0, 0), Weight(23)), + (Index(0, 1), Weight(14)), + (Index(1, 0), Weight(1)), + (Index(1, 0), Weight(95)), + (Index(0, 0), Weight(1337)), + ] + + prefixes = [ + Index(0), + Index(1), + ] + + r = mastic_func(measurements, prefixes) + self.assertEqual(r[Index(0)], Weight(23 + 14 + 1337)) + self.assertEqual(r[Index(1)], Weight(1 + 95)) + + + def test_weighted_heavy_hitters(self): + measurements = [ + (Index(0, 0), Weight(1)), + (Index(0, 1), Weight(2)), + (Index(1, 0), Weight(1)), + (Index(1, 0), Weight(1)), + (Index(0, 0), Weight(0)), + ] + + r = weighted_heavy_hitters(measurements, Weight(2), 2) + self.assertEqual(r, [Index(0, 1), Index(1, 0)])

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