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bpo-36546: Add more tests and expand docs (#13406)
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2 changed files with 48 additions and 21 deletions
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@ -2161,17 +2161,18 @@ class TestQuantiles(unittest.TestCase):
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# Quantiles should be idempotent
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if len(expected) >= 2:
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self.assertEqual(quantiles(expected, n=n), expected)
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# Cross-check against other methods
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if len(data) >= n:
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# After end caps are added, method='inclusive' should
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# give the same result as method='exclusive' whenever
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# there are more data points than desired cut points.
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padded_data = [min(data) - 1000] + data + [max(data) + 1000]
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self.assertEqual(
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quantiles(data, n=n),
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quantiles(padded_data, n=n, method='inclusive'),
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(n, data),
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)
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# Cross-check against method='inclusive' which should give
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# the same result after adding in minimum and maximum values
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# extrapolated from the two lowest and two highest points.
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sdata = sorted(data)
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lo = 2 * sdata[0] - sdata[1]
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hi = 2 * sdata[-1] - sdata[-2]
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padded_data = data + [lo, hi]
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self.assertEqual(
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quantiles(data, n=n),
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quantiles(padded_data, n=n, method='inclusive'),
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(n, data),
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)
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# Invariant under tranlation and scaling
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def f(x):
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return 3.5 * x - 1234.675
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@ -2188,6 +2189,11 @@ class TestQuantiles(unittest.TestCase):
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actual = quantiles(statistics.NormalDist(), n=n)
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self.assertTrue(all(math.isclose(e, a, abs_tol=0.0001)
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for e, a in zip(expected, actual)))
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# Q2 agrees with median()
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for k in range(2, 60):
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data = random.choices(range(100), k=k)
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q1, q2, q3 = quantiles(data)
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self.assertEqual(q2, statistics.median(data))
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def test_specific_cases_inclusive(self):
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# Match results computed by hand and cross-checked
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@ -2233,6 +2239,11 @@ class TestQuantiles(unittest.TestCase):
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actual = quantiles(statistics.NormalDist(), n=n, method="inclusive")
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self.assertTrue(all(math.isclose(e, a, abs_tol=0.0001)
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for e, a in zip(expected, actual)))
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# Natural deciles
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self.assertEqual(quantiles([0, 100], n=10, method='inclusive'),
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[10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 70.0, 80.0, 90.0])
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self.assertEqual(quantiles(range(0, 101), n=10, method='inclusive'),
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[10.0, 20.0, 30.0, 40.0, 50.0, 60.0, 70.0, 80.0, 90.0])
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# Whenever n is smaller than the number of data points, running
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# method='inclusive' should give the same result as method='exclusive'
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# after the two included extreme points are removed.
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@ -2242,6 +2253,11 @@ class TestQuantiles(unittest.TestCase):
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data.remove(max(data))
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expected = quantiles(data, n=32)
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self.assertEqual(expected, actual)
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# Q2 agrees with median()
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for k in range(2, 60):
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data = random.choices(range(100), k=k)
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q1, q2, q3 = quantiles(data, method='inclusive')
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self.assertEqual(q2, statistics.median(data))
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def test_equal_inputs(self):
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quantiles = statistics.quantiles
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