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import warnings
import sys
import os
import itertools
import pytest
import weakref

import numpy as np
from numpy.testing import (
    assert_equal, assert_array_equal, assert_almost_equal,
    assert_array_almost_equal, assert_array_less, build_err_msg,
    assert_raises, assert_warns, assert_no_warnings, assert_allclose,
    assert_approx_equal, assert_array_almost_equal_nulp, assert_array_max_ulp,
    clear_and_catch_warnings, suppress_warnings, assert_string_equal, assert_,
    tempdir, temppath, assert_no_gc_cycles, HAS_REFCOUNT
    )

class _GenericTest:

def _test_equal(self, a, b):
        self._assert_func(a, b)

def _test_not_equal(self, a, b):
        with assert_raises(AssertionError):
            self._assert_func(a, b)

def test_array_rank1_eq(self):
        """Test two equal array of rank 1 are found equal."""
        a = np.array([1, 2])
        b = np.array([1, 2])

self._test_equal(a, b)

def test_array_rank1_noteq(self):
        """Test two different array of rank 1 are found not equal."""
        a = np.array([1, 2])
        b = np.array([2, 2])

self._test_not_equal(a, b)

def test_array_rank2_eq(self):
        """Test two equal array of rank 2 are found equal."""
        a = np.array([[1, 2], [3, 4]])
        b = np.array([[1, 2], [3, 4]])

self._test_equal(a, b)

def test_array_diffshape(self):
        """Test two arrays with different shapes are found not equal."""
        a = np.array([1, 2])
        b = np.array([[1, 2], [1, 2]])

self._test_not_equal(a, b)

def test_objarray(self):
        """Test object arrays."""
        a = np.array([1, 1], dtype=object)
        self._test_equal(a, 1)

def test_array_likes(self):
        self._test_equal([1, 2, 3], (1, 2, 3))

class TestArrayEqual(_GenericTest):

def setup_method(self):
        self._assert_func = assert_array_equal

def test_generic_rank1(self):
        """Test rank 1 array for all dtypes."""
        def foo(t):
            a = np.empty(2, t)
            a.fill(1)
            b = a.copy()
            c = a.copy()
            c.fill(0)
            self._test_equal(a, b)
            self._test_not_equal(c, b)

# Test numeric types and object
        for t in '?bhilqpBHILQPfdgFDG':
            foo(t)

# Test strings
        for t in ['S1', 'U1']:
            foo(t)

def test_0_ndim_array(self):
        x = np.array(473963742225900817127911193656584771)
        y = np.array(18535119325151578301457182298393896)
        assert_raises(AssertionError, self._assert_func, x, y)

y = x
        self._assert_func(x, y)

x = np.array(43)
        y = np.array(10)
        assert_raises(AssertionError, self._assert_func, x, y)

y = x
        self._assert_func(x, y)

def test_generic_rank3(self):
        """Test rank 3 array for all dtypes."""
        def foo(t):
            a = np.empty((4, 2, 3), t)
            a.fill(1)
            b = a.copy()
            c = a.copy()
            c.fill(0)
            self._test_equal(a, b)
            self._test_not_equal(c, b)

# Test numeric types and object
        for t in '?bhilqpBHILQPfdgFDG':
            foo(t)

# Test strings
        for t in ['S1', 'U1']:
            foo(t)

def test_nan_array(self):
        """Test arrays with nan values in them."""
        a = np.array([1, 2, np.nan])
        b = np.array([1, 2, np.nan])

self._test_equal(a, b)

c = np.array([1, 2, 3])
        self._test_not_equal(c, b)

def test_string_arrays(self):
        """Test two arrays with different shapes are found not equal."""
        a = np.array(['floupi', 'floupa'])
        b = np.array(['floupi', 'floupa'])

self._test_equal(a, b)

c = np.array(['floupipi', 'floupa'])

self._test_not_equal(c, b)

def test_recarrays(self):
        """Test record arrays."""
        a = np.empty(2, [('floupi', float), ('floupa', float)])
        a['floupi'] = [1, 2]
        a['floupa'] = [1, 2]
        b = a.copy()

self._test_equal(a, b)

c = np.empty(2, [('floupipi', float),
                         ('floupi', float), ('floupa', float)])
        c['floupipi'] = a['floupi'].copy()
        c['floupa'] = a['floupa'].copy()

with pytest.raises(TypeError):
            self._test_not_equal(c, b)

def test_masked_nan_inf(self):
        # Regression test for gh-11121
        a = np.ma.MaskedArray([3., 4., 6.5], mask=[False, True, False])
        b = np.array([3., np.nan, 6.5])
        self._test_equal(a, b)
        self._test_equal(b, a)
        a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, False, False])
        b = np.array([np.inf, 4., 6.5])
        self._test_equal(a, b)
        self._test_equal(b, a)

def test_subclass_that_overrides_eq(self):
        # While we cannot guarantee testing functions will always work for
        # subclasses, the tests should ideally rely only on subclasses having
        # comparison operators, not on them being able to store booleans
        # (which, e.g., astropy Quantity cannot usefully do). See gh-8452.
        class MyArray(np.ndarray):
            def __eq__(self, other):
                return bool(np.equal(self, other).all())

def __ne__(self, other):
                return not self == other

a = np.array([1., 2.]).view(MyArray)
        b = np.array([2., 3.]).view(MyArray)
        assert_(type(a == a), bool)
        assert_(a == a)
        assert_(a != b)
        self._test_equal(a, a)
        self._test_not_equal(a, b)
        self._test_not_equal(b, a)

def test_subclass_that_does_not_implement_npall(self):
        class MyArray(np.ndarray):
            def __array_function__(self, *args, **kwargs):
                return NotImplemented

a = np.array([1., 2.]).view(MyArray)
        b = np.array([2., 3.]).view(MyArray)
        with assert_raises(TypeError):
            np.all(a)
        self._test_equal(a, a)
        self._test_not_equal(a, b)
        self._test_not_equal(b, a)

def test_suppress_overflow_warnings(self):
        # Based on issue #18992
        with pytest.raises(AssertionError):
            with np.errstate(all="raise"):
                np.testing.assert_array_equal(
                    np.array([1, 2, 3], np.float32),
                    np.array([1, 1e-40, 3], np.float32))

def test_array_vs_scalar_is_equal(self):
        """Test comparing an array with a scalar when all values are equal."""
        a = np.array([1., 1., 1.])
        b = 1.

self._test_equal(a, b)

def test_array_vs_scalar_not_equal(self):
        """Test comparing an array with a scalar when not all values equal."""
        a = np.array([1., 2., 3.])
        b = 1.

self._test_not_equal(a, b)

def test_array_vs_scalar_strict(self):
        """Test comparing an array with a scalar with strict option."""
        a = np.array([1., 1., 1.])
        b = 1.

with pytest.raises(AssertionError):
            assert_array_equal(a, b, strict=True)

def test_array_vs_array_strict(self):
        """Test comparing two arrays with strict option."""
        a = np.array([1., 1., 1.])
        b = np.array([1., 1., 1.])

assert_array_equal(a, b, strict=True)

def test_array_vs_float_array_strict(self):
        """Test comparing two arrays with strict option."""
        a = np.array([1, 1, 1])
        b = np.array([1., 1., 1.])

with pytest.raises(AssertionError):
            assert_array_equal(a, b, strict=True)

class TestBuildErrorMessage:

def test_build_err_msg_defaults(self):
        x = np.array([1.00001, 2.00002, 3.00003])
        y = np.array([1.00002, 2.00003, 3.00004])
        err_msg = 'There is a mismatch'

a = build_err_msg([x, y], err_msg)
        b = ('\nItems are not equal: There is a mismatch\n ACTUAL: array(['
             '1.00001, 2.00002, 3.00003])\n DESIRED: array([1.00002, '
             '2.00003, 3.00004])')
        assert_equal(a, b)

def test_build_err_msg_no_verbose(self):
        x = np.array([1.00001, 2.00002, 3.00003])
        y = np.array([1.00002, 2.00003, 3.00004])
        err_msg = 'There is a mismatch'

a = build_err_msg([x, y], err_msg, verbose=False)
        b = '\nItems are not equal: There is a mismatch'
        assert_equal(a, b)

def test_build_err_msg_custom_names(self):
        x = np.array([1.00001, 2.00002, 3.00003])
        y = np.array([1.00002, 2.00003, 3.00004])
        err_msg = 'There is a mismatch'

a = build_err_msg([x, y], err_msg, names=('FOO', 'BAR'))
        b = ('\nItems are not equal: There is a mismatch\n FOO: array(['
             '1.00001, 2.00002, 3.00003])\n BAR: array([1.00002, 2.00003, '
             '3.00004])')
        assert_equal(a, b)

def test_build_err_msg_custom_precision(self):
        x = np.array([1.000000001, 2.00002, 3.00003])
        y = np.array([1.000000002, 2.00003, 3.00004])
        err_msg = 'There is a mismatch'

a = build_err_msg([x, y], err_msg, precision=10)
        b = ('\nItems are not equal: There is a mismatch\n ACTUAL: array(['
             '1.000000001, 2.00002    , 3.00003    ])\n DESIRED: array(['
             '1.000000002, 2.00003    , 3.00004    ])')
        assert_equal(a, b)

class TestEqual(TestArrayEqual):

def setup_method(self):
        self._assert_func = assert_equal

def test_nan_items(self):
        self._assert_func(np.nan, np.nan)
        self._assert_func([np.nan], [np.nan])
        self._test_not_equal(np.nan, [np.nan])
        self._test_not_equal(np.nan, 1)

def test_inf_items(self):
        self._assert_func(np.inf, np.inf)
        self._assert_func([np.inf], [np.inf])
        self._test_not_equal(np.inf, [np.inf])

def test_datetime(self):
        self._test_equal(
            np.datetime64("2017-01-01", "s"),
            np.datetime64("2017-01-01", "s")
        )
        self._test_equal(
            np.datetime64("2017-01-01", "s"),
            np.datetime64("2017-01-01", "m")
        )

# gh-10081
        self._test_not_equal(
            np.datetime64("2017-01-01", "s"),
            np.datetime64("2017-01-02", "s")
        )
        self._test_not_equal(
            np.datetime64("2017-01-01", "s"),
            np.datetime64("2017-01-02", "m")
        )

def test_nat_items(self):
        # not a datetime
        nadt_no_unit = np.datetime64("NaT")
        nadt_s = np.datetime64("NaT", "s")
        nadt_d = np.datetime64("NaT", "ns")
        # not a timedelta
        natd_no_unit = np.timedelta64("NaT")
        natd_s = np.timedelta64("NaT", "s")
        natd_d = np.timedelta64("NaT", "ns")

dts = [nadt_no_unit, nadt_s, nadt_d]
        tds = [natd_no_unit, natd_s, natd_d]
        for a, b in itertools.product(dts, dts):
            self._assert_func(a, b)
            self._assert_func([a], [b])
            self._test_not_equal([a], b)

for a, b in itertools.product(tds, tds):
            self._assert_func(a, b)
            self._assert_func([a], [b])
            self._test_not_equal([a], b)

for a, b in itertools.product(tds, dts):
            self._test_not_equal(a, b)
            self._test_not_equal(a, [b])
            self._test_not_equal([a], [b])
            self._test_not_equal([a], np.datetime64("2017-01-01", "s"))
            self._test_not_equal([b], np.datetime64("2017-01-01", "s"))
            self._test_not_equal([a], np.timedelta64(123, "s"))
            self._test_not_equal([b], np.timedelta64(123, "s"))

def test_non_numeric(self):
        self._assert_func('ab', 'ab')
        self._test_not_equal('ab', 'abb')

def test_complex_item(self):
        self._assert_func(complex(1, 2), complex(1, 2))
        self._assert_func(complex(1, np.nan), complex(1, np.nan))
        self._test_not_equal(complex(1, np.nan), complex(1, 2))
        self._test_not_equal(complex(np.nan, 1), complex(1, np.nan))
        self._test_not_equal(complex(np.nan, np.inf), complex(np.nan, 2))

def test_negative_zero(self):
        self._test_not_equal(np.PZERO, np.NZERO)

def test_complex(self):
        x = np.array([complex(1, 2), complex(1, np.nan)])
        y = np.array([complex(1, 2), complex(1, 2)])
        self._assert_func(x, x)
        self._test_not_equal(x, y)

def test_object(self):
        #gh-12942
        import datetime
        a = np.array([datetime.datetime(2000, 1, 1),
                      datetime.datetime(2000, 1, 2)])
        self._test_not_equal(a, a[::-1])

class TestArrayAlmostEqual(_GenericTest):

def setup_method(self):
        self._assert_func = assert_array_almost_equal

def test_closeness(self):
        # Note that in the course of time we ended up with
        #     `abs(x - y) < 1.5 * 10**(-decimal)`
        # instead of the previously documented
        #     `abs(x - y) < 0.5 * 10**(-decimal)`
        # so this check serves to preserve the wrongness.

# test scalars
        self._assert_func(1.499999, 0.0, decimal=0)
        assert_raises(AssertionError,
                          lambda: self._assert_func(1.5, 0.0, decimal=0))

# test arrays
        self._assert_func([1.499999], [0.0], decimal=0)
        assert_raises(AssertionError,
                          lambda: self._assert_func([1.5], [0.0], decimal=0))

def test_simple(self):
        x = np.array([1234.2222])
        y = np.array([1234.2223])

self._assert_func(x, y, decimal=3)
        self._assert_func(x, y, decimal=4)
        assert_raises(AssertionError,
                lambda: self._assert_func(x, y, decimal=5))

def test_nan(self):
        anan = np.array([np.nan])
        aone = np.array([1])
        ainf = np.array([np.inf])
        self._assert_func(anan, anan)
        assert_raises(AssertionError,
                lambda: self._assert_func(anan, aone))
        assert_raises(AssertionError,
                lambda: self._assert_func(anan, ainf))
        assert_raises(AssertionError,
                lambda: self._assert_func(ainf, anan))

def test_inf(self):
        a = np.array([[1., 2.], [3., 4.]])
        b = a.copy()
        a[0, 0] = np.inf
        assert_raises(AssertionError,
                lambda: self._assert_func(a, b))
        b[0, 0] = -np.inf
        assert_raises(AssertionError,
                lambda: self._assert_func(a, b))

def test_subclass(self):
        a = np.array([[1., 2.], [3., 4.]])
        b = np.ma.masked_array([[1., 2.], [0., 4.]],
                               [[False, False], [True, False]])
        self._assert_func(a, b)
        self._assert_func(b, a)
        self._assert_func(b, b)

# Test fully masked as well (see gh-11123).
        a = np.ma.MaskedArray(3.5, mask=True)
        b = np.array([3., 4., 6.5])
        self._test_equal(a, b)
        self._test_equal(b, a)
        a = np.ma.masked
        b = np.array([3., 4., 6.5])
        self._test_equal(a, b)
        self._test_equal(b, a)
        a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, True, True])
        b = np.array([1., 2., 3.])
        self._test_equal(a, b)
        self._test_equal(b, a)
        a = np.ma.MaskedArray([3., 4., 6.5], mask=[True, True, True])
        b = np.array(1.)
        self._test_equal(a, b)
        self._test_equal(b, a)

def test_subclass_that_cannot_be_bool(self):
        # While we cannot guarantee testing functions will always work for
        # subclasses, the tests should ideally rely only on subclasses having
        # comparison operators, not on them being able to store booleans
        # (which, e.g., astropy Quantity cannot usefully do). See gh-8452.
        class MyArray(np.ndarray):
            def __eq__(self, other):
                return super().__eq__(other).view(np.ndarray)

def __lt__(self, other):
                return super().__lt__(other).view(np.ndarray)

def all(self, *args, **kwargs):
                raise NotImplementedError

a = np.array([1., 2.]).view(MyArray)
        self._assert_func(a, a)

class TestAlmostEqual(_GenericTest):

def setup_method(self):
        self._assert_func = assert_almost_equal

# test scalars
        self._assert_func(1.499999, 0.0, decimal=0)
        assert_raises(AssertionError,
                      lambda: self._assert_func(1.5, 0.0, decimal=0))

# test arrays
        self._assert_func([1.499999], [0.0], decimal=0)
        assert_raises(AssertionError,
                      lambda: self._assert_func([1.5], [0.0], decimal=0))

def test_nan_item(self):
        self._assert_func(np.nan, np.nan)
        assert_raises(AssertionError,
                      lambda: self._assert_func(np.nan, 1))
        assert_raises(AssertionError,
                      lambda: self._assert_func(np.nan, np.inf))
        assert_raises(AssertionError,
                      lambda: self._assert_func(np.inf, np.nan))

def test_inf_item(self):
        self._assert_func(np.inf, np.inf)
        self._assert_func(-np.inf, -np.inf)
        assert_raises(AssertionError,
                      lambda: self._assert_func(np.inf, 1))
        assert_raises(AssertionError,
                      lambda: self._assert_func(-np.inf, np.inf))

def test_simple_item(self):
        self._test_not_equal(1, 2)

def test_complex_item(self):
        self._assert_func(complex(1, 2), complex(1, 2))
        self._assert_func(complex(1, np.nan), complex(1, np.nan))
        self._assert_func(complex(np.inf, np.nan), complex(np.inf, np.nan))
        self._test_not_equal(complex(1, np.nan), complex(1, 2))
        self._test_not_equal(complex(np.nan, 1), complex(1, np.nan))
        self._test_not_equal(complex(np.nan, np.inf), complex(np.nan, 2))

def test_complex(self):
        x = np.array([complex(1, 2), complex(1, np.nan)])
        z = np.array([complex(1, 2), complex(np.nan, 1)])
        y = np.array([complex(1, 2), complex(1, 2)])
        self._assert_func(x, x)
        self._test_not_equal(x, y)
        self._test_not_equal(x, z)

def test_error_message(self):
        """Check the message is formatted correctly for the decimal value.
           Also check the message when input includes inf or nan (gh12200)"""
        x = np.array([1.00000000001, 2.00000000002, 3.00003])
        y = np.array([1.00000000002, 2.00000000003, 3.00004])

# Test with a different amount of decimal digits
        with pytest.raises(AssertionError) as exc_info:
            self._assert_func(x, y, decimal=12)
        msgs = str(exc_info.value).split('\n')
        assert_equal(msgs[3], 'Mismatched elements: 3 / 3 (100%)')
        assert_equal(msgs[4], 'Max absolute difference: 1.e-05')
        assert_equal(msgs[5], 'Max relative difference: 3.33328889e-06')
        assert_equal(
            msgs[6],
            ' x: array([1.00000000001, 2.00000000002, 3.00003      ])')
        assert_equal(
            msgs[7],
            ' y: array([1.00000000002, 2.00000000003, 3.00004      ])')

# With the default value of decimal digits, only the 3rd element
        # differs. Note that we only check for the formatting of the arrays
        # themselves.
        with pytest.raises(AssertionError) as exc_info:
            self._assert_func(x, y)
        msgs = str(exc_info.value).split('\n')
        assert_equal(msgs[3], 'Mismatched elements: 1 / 3 (33.3%)')
        assert_equal(msgs[4], 'Max absolute difference: 1.e-05')
        assert_equal(msgs[5], 'Max relative difference: 3.33328889e-06')
        assert_equal(msgs[6], ' x: array([1.     , 2.     , 3.00003])')
        assert_equal(msgs[7], ' y: array([1.     , 2.     , 3.00004])')

# Check the error message when input includes inf
        x = np.array([np.inf, 0])
        y = np.array([np.inf, 1])
        with pytest.raises(AssertionError) as exc_info:
            self._assert_func(x, y)
        msgs = str(exc_info.value).split('\n')
        assert_equal(msgs[3], 'Mismatched elements: 1 / 2 (50%)')
        assert_equal(msgs[4], 'Max absolute difference: 1.')
        assert_equal(msgs[5], 'Max relative difference: 1.')
        assert_equal(msgs[6], ' x: array([inf,  0.])')
        assert_equal(msgs[7], ' y: array([inf,  1.])')

# Check the error message when dividing by zero
        x = np.array([1, 2])
        y = np.array([0, 0])
        with pytest.raises(AssertionError) as exc_info:
            self._assert_func(x, y)
        msgs = str(exc_info.value).split('\n')
        assert_equal(msgs[3], 'Mismatched elements: 2 / 2 (100%)')
        assert_equal(msgs[4], 'Max absolute difference: 2')
        assert_equal(msgs[5], 'Max relative difference: inf')

def test_error_message_2(self):
        """Check the message is formatted correctly when either x or y is a scalar."""
        x = 2
        y = np.ones(20)
        with pytest.raises(AssertionError) as exc_info:
            self._assert_func(x, y)
        msgs = str(exc_info.value).split('\n')
        assert_equal(msgs[3], 'Mismatched elements: 20 / 20 (100%)')
        assert_equal(msgs[4], 'Max absolute difference: 1.')
        assert_equal(msgs[5], 'Max relative difference: 1.')

y = 2
        x = np.ones(20)
        with pytest.raises(AssertionError) as exc_info:
            self._assert_func(x, y)
        msgs = str(exc_info.value).split('\n')
        assert_equal(msgs[3], 'Mismatched elements: 20 / 20 (100%)')
        assert_equal(msgs[4], 'Max absolute difference: 1.')
        assert_equal(msgs[5], 'Max relative difference: 0.5')

def __lt__(self, other):
                return super().__lt__(other).view(np.ndarray)

def all(self, *args, **kwargs):
                raise NotImplementedError

a = np.array([1., 2.]).view(MyArray)
        self._assert_func(a, a)

class TestApproxEqual:

def setup_method(self):
        self._assert_func = assert_approx_equal

def test_simple_0d_arrays(self):
        x = np.array(1234.22)
        y = np.array(1234.23)

self._assert_func(x, y, significant=5)
        self._assert_func(x, y, significant=6)
        assert_raises(AssertionError,
                      lambda: self._assert_func(x, y, significant=7))

def test_simple_items(self):
        x = 1234.22
        y = 1234.23

self._assert_func(x, y, significant=4)
        self._assert_func(x, y, significant=5)
        self._assert_func(x, y, significant=6)
        assert_raises(AssertionError,
                      lambda: self._assert_func(x, y, significant=7))

def test_nan_array(self):
        anan = np.array(np.nan)
        aone = np.array(1)
        ainf = np.array(np.inf)
        self._assert_func(anan, anan)
        assert_raises(AssertionError, lambda: self._assert_func(anan, aone))
        assert_raises(AssertionError, lambda: self._assert_func(anan, ainf))
        assert_raises(AssertionError, lambda: self._assert_func(ainf, anan))

def test_nan_items(self):
        anan = np.array(np.nan)
        aone = np.array(1)
        ainf = np.array(np.inf)
        self._assert_func(anan, anan)
        assert_raises(AssertionError, lambda: self._assert_func(anan, aone))
        assert_raises(AssertionError, lambda: self._assert_func(anan, ainf))
        assert_raises(AssertionError, lambda: self._assert_func(ainf, anan))

class TestArrayAssertLess:

def setup_method(self):
        self._assert_func = assert_array_less

def test_simple_arrays(self):
        x = np.array([1.1, 2.2])
        y = np.array([1.2, 2.3])