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lib/
python3.11/
test/
__pycache__/
test_statistics.cpython-311.pyc

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dZejddgZejddgZGddejZGddejZ GddejZ!GddejZ"GddejZ#GddejZ$Gdd ejZ%Gd!d"ejZ&Gd#d$ejZ'Gd%d&ejZ(Gd'd(ejZ)Gd)d*ejZ*Gd+d,ejZ+Gd-d.ejZ,Gd/d0ejZ-Gd1d2ejZ.Gd3d4ejZ/Gd5d6ejZ0Gd7d8ejZ1Gd9d:Z2Gd;d<Z3Gd=d>e2e3Z4Gd?d@e Z5GdAdBe Z6GdCdDe Z7GdEdFe2Z8GdGdHe e8e3Z9GdIdJe e8e3Z:GdKdLe e8Z;GdMdNe e3Z<GdOdPe;e3Z=GdQdRe;e3Z>GdSdTe;Z?GdUdVe e8e3Z@GdWdXejZAGdYdZejZBGd[d\e2ZCGd]d^eCe e3ZDGd_d`eCe e3ZEGdadbeCe ZFGdcddejZGGdedfeCe ZHGdgdhejZIGdidjejZJGdkdlejZKGdmdnejZLGdodpejZMGdqdrZNGdsdtejeNZOejPeduGdvdwejeNZQdxZReSdykrejTdSdS){z_Test suite for statistics module, including helper NumericTestCase and
approx_equal function.

N)support)
import_helperrequires_IEEE_754)DecimalFractionc,tjd|S)z:Return -1.0 for negatives, including -0.0, otherwise +1.0.)mathcopysignxs H/BuggyBox/python/3.11.7/bootstrap/lib/python3.11/test/test_statistics.pysignrs=Ac8t|t|urdSt|tr(tj|otj|S|d}|d}||ko|dvS)aReturn True if a and b are both the same kind of NAN.

    >>> _nan_equal(Decimal('NAN'), Decimal('NAN'))
    True
    >>> _nan_equal(Decimal('sNAN'), Decimal('sNAN'))
    True
    >>> _nan_equal(Decimal('NAN'), Decimal('sNAN'))
    False
    >>> _nan_equal(Decimal(42), Decimal('NAN'))
    False

    >>> _nan_equal(float('NAN'), float('NAN'))
    True
    >>> _nan_equal(float('NAN'), 0.5)
    False

    >>> _nan_equal(float('NAN'), Decimal('NAN'))
    False

    NAN payloads are not compared.
    F)nN)type
isinstancefloatrisnanas_tuple)abaexpbexps    r
_nan_equalr#s,Awwd1ggu!U/z!}}.A.::<<?D::<<?DDL2tz12rctt|t|}t||z
}|r||zntd}||fS)zReturn the absolute and relative errors between two numbers.

    >>> _calc_errors(100, 75)
    (25, 0.25)
    >>> _calc_errors(100, 100)
    (0, 0.0)

    Returns the (absolute error, relative error) between the two arguments.
    inf)maxabsr)actualexpectedbaseabs_errrel_errs     r_calc_errorsr)BsTs6{{CMM**D&8#$$G"4gdlleGWr-q=Hz>c
|dks|dkrtdtj|stj|rdS||krdStj|stj|rdSt	||z
}t||tt	|t	|z}||kS)aapprox_equal(x, y [, tol [, rel]]) => True|False

    Return True if numbers x and y are approximately equal, to within some
    margin of error, otherwise return False. Numbers which compare equal
    will also compare approximately equal.

    x is approximately equal to y if the difference between them is less than
    an absolute error tol or a relative error rel, whichever is bigger.

    If given, both tol and rel must be finite, non-negative numbers. If not
    given, default values are tol=1e-12 and rel=1e-7.

    >>> approx_equal(1.2589, 1.2587, tol=0.0003, rel=0)
    True
    >>> approx_equal(1.2589, 1.2587, tol=0.0001, rel=0)
    False

    Absolute error is defined as abs(x-y); if that is less than or equal to
    tol, x and y are considered approximately equal.

    Relative error is defined as abs((x-y)/x) or abs((x-y)/y), whichever is
    smaller, provided x or y are not zero. If that figure is less than or
    equal to rel, x and y are considered approximately equal.

    Complex numbers are not directly supported. If you wish to compare to
    complex numbers, extract their real and imaginary parts and compare them
    individually.

    NANs always compare unequal, even with themselves. Infinities compare
    approximately equal if they have the same sign (both positive or both
    negative). Infinities with different signs compare unequal; so do
    comparisons of infinities with finite numbers.
    rz%error tolerances must be non-negativeFT)
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    When doing numeric work, especially with floats, exact equality is often
    not what you want. Due to round-off error, it is often a bad idea to try
    to compare floats with equality. Instead the usual procedure is to test
    them with some (hopefully small!) allowance for error.

    The ``approx_equal`` function allows you to specify either an absolute
    error tolerance, or a relative error, or both.

    Absolute error tolerances are simple, but you need to know the magnitude
    of the quantities being compared:

    >>> approx_equal(12.345, 12.346, tol=1e-3)
    True
    >>> approx_equal(12.345e6, 12.346e6, tol=1e-3)  # tol is too small.
    False

    Relative errors are more suitable when the values you are comparing can
    vary in magnitude:

    >>> approx_equal(12.345, 12.346, rel=1e-4)
    True
    >>> approx_equal(12.345e6, 12.346e6, rel=1e-4)
    True

    but a naive implementation of relative error testing can run into trouble
    around zero.

    If you supply both an absolute tolerance and a relative error, the
    comparison succeeds if either individual test succeeds:

    >>> approx_equal(12.345e6, 12.346e6, tol=1e-3, rel=1e-4)
    True

    N)__name__
__module____qualname____doc__rrr6r6s""F	Drr6
statistics_statistics)blocked)freshcNeZdZdgZdZejeddZdS)TestModules_normal_dist_inv_cdfcv|jD]0}|tt|jd1dSNr<)
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py_statisticsr8selffnames  rtest_py_functionszTestModules.test_py_functionssG_	U	UEW]E::E|TTTT	U	Urrequires _statisticscv|jD]0}|tt|jd1dS)Nr=)rErFrGc_statisticsr8rIs  rtest_c_functionszTestModules.test_c_functionssG_	U	UEW\599DmTTTT	U	UrN)	r7r8r9rErLunittest
skipUnlessrOrPr;rrrArAs_()JUUUX'=>>UU?>UUUrrAcHeZdZdZdxZZ	ddZdZd	dZe	dZ
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NumericTestCasezUnit test class for numeric work.

    This subclasses TestCase. In addition to the standard method
    ``TestCase.assertAlmostEqual``,  ``assertApproxEqual`` is provided.
    rNc||j}||j}t|tjjr't|tjjr|j}n|j}||||||dS)aTest passes if ``first`` and ``second`` are approximately equal.

        This test passes if ``first`` and ``second`` are equal to
        within ``tol``, an absolute error, or ``rel``, a relative error.

        If either ``tol`` or ``rel`` are None or not given, they default to
        test attributes of the same name (by default, 0).

        The objects may be either numbers, or sequences of numbers. Sequences
        are tested element-by-element.

        >>> class MyTest(NumericTestCase):
        ...     def test_number(self):
        ...         x = 1.0/6
        ...         y = sum([x]*6)
        ...         self.assertApproxEqual(y, 1.0, tol=1e-15)
        ...     def test_sequence(self):
        ...         a = [1.001, 1.001e-10, 1.001e10]
        ...         b = [1.0, 1e-10, 1e10]
        ...         self.assertApproxEqual(a, b, rel=1e-3)
        ...
        >>> import unittest
        >>> from io import StringIO  # Suppress test runner output.
        >>> suite = unittest.TestLoader().loadTestsFromTestCase(MyTest)
        >>> unittest.TextTestRunner(stream=StringIO()).run(suite)
        <unittest.runner.TextTestResult run=2 errors=0 failures=0>

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