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import numpy
 import numpy as np
 import datetime
 import pytest
 from numpy.testing import (
 IS_WASM,
 assert_, assert_equal, assert_raises, assert_warns, suppress_warnings,
 assert_raises_regex, assert_array_equal,
 )
 from numpy.compat import pickle
 
 # Use pytz to test out various time zones if available
 try:
 from pytz import timezone as tz
 _has_pytz = True
 except ImportError:
 _has_pytz = False
 
 try:
 RecursionError
 except NameError:
 RecursionError = RuntimeError  # python < 3.5
 
 
 class TestDateTime:
 def test_datetime_dtype_creation(self):
 for unit in ['Y', 'M', 'W', 'D',
 'h', 'm', 's', 'ms', 'us',
 'μs',  # alias for us
 'ns', 'ps', 'fs', 'as']:
 dt1 = np.dtype('M8[750%s]' % unit)
 assert_(dt1 == np.dtype('datetime64[750%s]' % unit))
 dt2 = np.dtype('m8[%s]' % unit)
 assert_(dt2 == np.dtype('timedelta64[%s]' % unit))
 
 # Generic units shouldn't add [] to the end
 assert_equal(str(np.dtype("M8")), "datetime64")
 
 # Should be possible to specify the endianness
 assert_equal(np.dtype("=M8"), np.dtype("M8"))
 assert_equal(np.dtype("=M8[s]"), np.dtype("M8[s]"))
 assert_(np.dtype(">M8") == np.dtype("M8") or
 np.dtype("<M8") == np.dtype("M8"))
 assert_(np.dtype(">M8[D]") == np.dtype("M8[D]") or
 np.dtype("<M8[D]") == np.dtype("M8[D]"))
 assert_(np.dtype(">M8") != np.dtype("<M8"))
 
 assert_equal(np.dtype("=m8"), np.dtype("m8"))
 assert_equal(np.dtype("=m8[s]"), np.dtype("m8[s]"))
 assert_(np.dtype(">m8") == np.dtype("m8") or
 np.dtype("<m8") == np.dtype("m8"))
 assert_(np.dtype(">m8[D]") == np.dtype("m8[D]") or
 np.dtype("<m8[D]") == np.dtype("m8[D]"))
 assert_(np.dtype(">m8") != np.dtype("<m8"))
 
 # Check that the parser rejects bad datetime types
 assert_raises(TypeError, np.dtype, 'M8[badunit]')
 assert_raises(TypeError, np.dtype, 'm8[badunit]')
 assert_raises(TypeError, np.dtype, 'M8[YY]')
 assert_raises(TypeError, np.dtype, 'm8[YY]')
 assert_raises(TypeError, np.dtype, 'm4')
 assert_raises(TypeError, np.dtype, 'M7')
 assert_raises(TypeError, np.dtype, 'm7')
 assert_raises(TypeError, np.dtype, 'M16')
 assert_raises(TypeError, np.dtype, 'm16')
 assert_raises(TypeError, np.dtype, 'M8[3000000000ps]')
 
 def test_datetime_casting_rules(self):
 # Cannot cast safely/same_kind between timedelta and datetime
 assert_(not np.can_cast('m8', 'M8', casting='same_kind'))
 assert_(not np.can_cast('M8', 'm8', casting='same_kind'))
 assert_(not np.can_cast('m8', 'M8', casting='safe'))
 assert_(not np.can_cast('M8', 'm8', casting='safe'))
 
 # Can cast safely/same_kind from integer to timedelta
 assert_(np.can_cast('i8', 'm8', casting='same_kind'))
 assert_(np.can_cast('i8', 'm8', casting='safe'))
 assert_(np.can_cast('i4', 'm8', casting='same_kind'))
 assert_(np.can_cast('i4', 'm8', casting='safe'))
 assert_(np.can_cast('u4', 'm8', casting='same_kind'))
 assert_(np.can_cast('u4', 'm8', casting='safe'))
 
 # Cannot cast safely from unsigned integer of the same size, which
 # could overflow
 assert_(np.can_cast('u8', 'm8', casting='same_kind'))
 assert_(not np.can_cast('u8', 'm8', casting='safe'))
 
 # Cannot cast safely/same_kind from float to timedelta
 assert_(not np.can_cast('f4', 'm8', casting='same_kind'))
 assert_(not np.can_cast('f4', 'm8', casting='safe'))
 
 # Cannot cast safely/same_kind from integer to datetime
 assert_(not np.can_cast('i8', 'M8', casting='same_kind'))
 assert_(not np.can_cast('i8', 'M8', casting='safe'))
 
 # Cannot cast safely/same_kind from bool to datetime
 assert_(not np.can_cast('b1', 'M8', casting='same_kind'))
 assert_(not np.can_cast('b1', 'M8', casting='safe'))
 # Can cast safely/same_kind from bool to timedelta
 assert_(np.can_cast('b1', 'm8', casting='same_kind'))
 assert_(np.can_cast('b1', 'm8', casting='safe'))
 
 # Can cast datetime safely from months/years to days
 assert_(np.can_cast('M8[M]', 'M8[D]', casting='safe'))
 assert_(np.can_cast('M8[Y]', 'M8[D]', casting='safe'))
 # Cannot cast timedelta safely from months/years to days
 assert_(not np.can_cast('m8[M]', 'm8[D]', casting='safe'))
 assert_(not np.can_cast('m8[Y]', 'm8[D]', casting='safe'))
 # Can cast datetime same_kind from months/years to days
 assert_(np.can_cast('M8[M]', 'M8[D]', casting='same_kind'))
 assert_(np.can_cast('M8[Y]', 'M8[D]', casting='same_kind'))
 # Can't cast timedelta same_kind from months/years to days
 assert_(not np.can_cast('m8[M]', 'm8[D]', casting='same_kind'))
 assert_(not np.can_cast('m8[Y]', 'm8[D]', casting='same_kind'))
 # Can cast datetime same_kind across the date/time boundary
 assert_(np.can_cast('M8[D]', 'M8[h]', casting='same_kind'))
 # Can cast timedelta same_kind across the date/time boundary
 assert_(np.can_cast('m8[D]', 'm8[h]', casting='same_kind'))
 assert_(np.can_cast('m8[h]', 'm8[D]', casting='same_kind'))
 
 # Cannot cast safely if the integer multiplier doesn't divide
 assert_(not np.can_cast('M8[7h]', 'M8[3h]', casting='safe'))
 assert_(not np.can_cast('M8[3h]', 'M8[6h]', casting='safe'))
 # But can cast same_kind
 assert_(np.can_cast('M8[7h]', 'M8[3h]', casting='same_kind'))
 # Can cast safely if the integer multiplier does divide
 assert_(np.can_cast('M8[6h]', 'M8[3h]', casting='safe'))
 
 # We can always cast types with generic units (corresponding to NaT) to
 # more specific types
 assert_(np.can_cast('m8', 'm8[h]', casting='same_kind'))
 assert_(np.can_cast('m8', 'm8[h]', casting='safe'))
 assert_(np.can_cast('M8', 'M8[h]', casting='same_kind'))
 assert_(np.can_cast('M8', 'M8[h]', casting='safe'))
 # but not the other way around
 assert_(not np.can_cast('m8[h]', 'm8', casting='same_kind'))
 assert_(not np.can_cast('m8[h]', 'm8', casting='safe'))
 assert_(not np.can_cast('M8[h]', 'M8', casting='same_kind'))
 assert_(not np.can_cast('M8[h]', 'M8', casting='safe'))
 
 def test_datetime_prefix_conversions(self):
 # regression tests related to gh-19631;
 # test metric prefixes from seconds down to
 # attoseconds for bidirectional conversions
 smaller_units = ['M8[7000ms]',
 'M8[2000us]',
 'M8[1000ns]',
 'M8[5000ns]',
 'M8[2000ps]',
 'M8[9000fs]',
 'M8[1000as]',
 'M8[2000000ps]',
 'M8[1000000as]',
 'M8[2000000000ps]',
 'M8[1000000000as]']
 larger_units = ['M8[7s]',
 'M8[2ms]',
 'M8[us]',
 'M8[5us]',
 'M8[2ns]',
 'M8[9ps]',
 'M8[1fs]',
 'M8[2us]',
 'M8[1ps]',
 'M8[2ms]',
 'M8[1ns]']
 for larger_unit, smaller_unit in zip(larger_units, smaller_units):
 assert np.can_cast(larger_unit, smaller_unit, casting='safe')
 assert np.can_cast(smaller_unit, larger_unit, casting='safe')
 
 @pytest.mark.parametrize("unit", [
 "s", "ms", "us", "ns", "ps", "fs", "as"])
 def test_prohibit_negative_datetime(self, unit):
 with assert_raises(TypeError):
 np.array([1], dtype=f"M8[-1{unit}]")
 
 def test_compare_generic_nat(self):
 # regression tests for gh-6452
 assert_(np.datetime64('NaT') !=
 np.datetime64('2000') + np.timedelta64('NaT'))
 assert_(np.datetime64('NaT') != np.datetime64('NaT', 'us'))
 assert_(np.datetime64('NaT', 'us') != np.datetime64('NaT'))
 
 @pytest.mark.parametrize("size", [
 3, 21, 217, 1000])
 def test_datetime_nat_argsort_stability(self, size):
 # NaT < NaT should be False internally for
 # sort stability
 expected = np.arange(size)
 arr = np.tile(np.datetime64('NaT'), size)
 assert_equal(np.argsort(arr, kind='mergesort'), expected)
 
 @pytest.mark.parametrize("size", [
 3, 21, 217, 1000])
 def test_timedelta_nat_argsort_stability(self, size):
 # NaT < NaT should be False internally for
 # sort stability
 expected = np.arange(size)
 arr = np.tile(np.timedelta64('NaT'), size)
 assert_equal(np.argsort(arr, kind='mergesort'), expected)
 
 @pytest.mark.parametrize("arr, expected", [
 # the example provided in gh-12629
 (['NaT', 1, 2, 3],
 [1, 2, 3, 'NaT']),
 # multiple NaTs
 (['NaT', 9, 'NaT', -707],
 [-707, 9, 'NaT', 'NaT']),
 # this sort explores another code path for NaT
 ([1, -2, 3, 'NaT'],
 [-2, 1, 3, 'NaT']),
 # 2-D array
 ([[51, -220, 'NaT'],
 [-17, 'NaT', -90]],
 [[-220, 51, 'NaT'],
 [-90, -17, 'NaT']]),
 ])
 @pytest.mark.parametrize("dtype", [
 'M8[ns]', 'M8[us]',
 'm8[ns]', 'm8[us]'])
 def test_datetime_timedelta_sort_nat(self, arr, expected, dtype):
 # fix for gh-12629 and gh-15063; NaT sorting to end of array
 arr = np.array(arr, dtype=dtype)
 expected = np.array(expected, dtype=dtype)
 arr.sort()
 assert_equal(arr, expected)
 
 def test_datetime_scalar_construction(self):
 # Construct with different units
 assert_equal(np.datetime64('1950-03-12', 'D'),
 np.datetime64('1950-03-12'))
 assert_equal(np.datetime64('1950-03-12T13', 's'),
 np.datetime64('1950-03-12T13', 'm'))
 
 # Default construction means NaT
 assert_equal(np.datetime64(), np.datetime64('NaT'))
 
 # Some basic strings and repr
 assert_equal(str(np.datetime64('NaT')), 'NaT')
 assert_equal(repr(np.datetime64('NaT')),
 "numpy.datetime64('NaT')")
 assert_equal(str(np.datetime64('2011-02')), '2011-02')
 assert_equal(repr(np.datetime64('2011-02')),
 "numpy.datetime64('2011-02')")
 
 # None gets constructed as NaT
 assert_equal(np.datetime64(None), np.datetime64('NaT'))
 
 # Default construction of NaT is in generic units
 assert_equal(np.datetime64().dtype, np.dtype('M8'))
 assert_equal(np.datetime64('NaT').dtype, np.dtype('M8'))
 
 # Construction from integers requires a specified unit
 assert_raises(ValueError, np.datetime64, 17)
 
 # When constructing from a scalar or zero-dimensional array,
 # it either keeps the units or you can override them.
 a = np.datetime64('2000-03-18T16', 'h')
 b = np.array('2000-03-18T16', dtype='M8[h]')
 
 assert_equal(a.dtype, np.dtype('M8[h]'))
 assert_equal(b.dtype, np.dtype('M8[h]'))
 
 assert_equal(np.datetime64(a), a)
 assert_equal(np.datetime64(a).dtype, np.dtype('M8[h]'))
 
 assert_equal(np.datetime64(b), a)
 assert_equal(np.datetime64(b).dtype, np.dtype('M8[h]'))
 
 assert_equal(np.datetime64(a, 's'), a)
 assert_equal(np.datetime64(a, 's').dtype, np.dtype('M8[s]'))
 
 assert_equal(np.datetime64(b, 's'), a)
 assert_equal(np.datetime64(b, 's').dtype, np.dtype('M8[s]'))
 
 # Construction from datetime.date
 assert_equal(np.datetime64('1945-03-25'),
 np.datetime64(datetime.date(1945, 3, 25)))
 assert_equal(np.datetime64('2045-03-25', 'D'),
 np.datetime64(datetime.date(2045, 3, 25), 'D'))
 # Construction from datetime.datetime
 assert_equal(np.datetime64('1980-01-25T14:36:22.5'),
 np.datetime64(datetime.datetime(1980, 1, 25,
 14, 36, 22, 500000)))
 
 # Construction with time units from a date is okay
 assert_equal(np.datetime64('1920-03-13', 'h'),
 np.datetime64('1920-03-13T00'))
 assert_equal(np.datetime64('1920-03', 'm'),
 np.datetime64('1920-03-01T00:00'))
 assert_equal(np.datetime64('1920', 's'),
 np.datetime64('1920-01-01T00:00:00'))
 assert_equal(np.datetime64(datetime.date(2045, 3, 25), 'ms'),
 np.datetime64('2045-03-25T00:00:00.000'))
 
 # Construction with date units from a datetime is also okay
 assert_equal(np.datetime64('1920-03-13T18', 'D'),
 np.datetime64('1920-03-13'))
 assert_equal(np.datetime64('1920-03-13T18:33:12', 'M'),
 np.datetime64('1920-03'))
 assert_equal(np.datetime64('1920-03-13T18:33:12.5', 'Y'),
 np.datetime64('1920'))
 
 def test_datetime_scalar_construction_timezone(self):
 # verify that supplying an explicit timezone works, but is deprecated
 with assert_warns(DeprecationWarning):
 assert_equal(np.datetime64('2000-01-01T00Z'),
 np.datetime64('2000-01-01T00'))
 with assert_warns(DeprecationWarning):
 assert_equal(np.datetime64('2000-01-01T00-08'),
 np.datetime64('2000-01-01T08'))
 
 def test_datetime_array_find_type(self):
 dt = np.datetime64('1970-01-01', 'M')
 arr = np.array([dt])
 assert_equal(arr.dtype, np.dtype('M8[M]'))
 
 # at the moment, we don't automatically convert these to datetime64
 
 dt = datetime.date(1970, 1, 1)
 arr = np.array([dt])
 assert_equal(arr.dtype, np.dtype('O'))
 
 dt = datetime.datetime(1970, 1, 1, 12, 30, 40)
 arr = np.array([dt])
 assert_equal(arr.dtype, np.dtype('O'))
 
 # find "supertype" for non-dates and dates
 
 b = np.bool_(True)
 dm = np.datetime64('1970-01-01', 'M')
 d = datetime.date(1970, 1, 1)
 dt = datetime.datetime(1970, 1, 1, 12, 30, 40)
 
 arr = np.array([b, dm])
 assert_equal(arr.dtype, np.dtype('O'))
 
 arr = np.array([b, d])
 assert_equal(arr.dtype, np.dtype('O'))
 
 arr = np.array([b, dt])
 assert_equal(arr.dtype, np.dtype('O'))
 
 arr = np.array([d, d]).astype('datetime64')
 assert_equal(arr.dtype, np.dtype('M8[D]'))
 
 arr = np.array([dt, dt]).astype('datetime64')
 assert_equal(arr.dtype, np.dtype('M8[us]'))
 
 @pytest.mark.parametrize("unit", [
 # test all date / time units and use
 # "generic" to select generic unit
 ("Y"), ("M"), ("W"), ("D"), ("h"), ("m"),
 ("s"), ("ms"), ("us"), ("ns"), ("ps"),
 ("fs"), ("as"), ("generic") ])
 def test_timedelta_np_int_construction(self, unit):
 # regression test for gh-7617
 if unit != "generic":
 assert_equal(np.timedelta64(np.int64(123), unit),
 np.timedelta64(123, unit))
 else:
 assert_equal(np.timedelta64(np.int64(123)),
 np.timedelta64(123))
 
 def test_timedelta_scalar_construction(self):
 # Construct with different units
 assert_equal(np.timedelta64(7, 'D'),
 np.timedelta64(1, 'W'))
 assert_equal(np.timedelta64(120, 's'),
 np.timedelta64(2, 'm'))
 
 # Default construction means 0
 assert_equal(np.timedelta64(), np.timedelta64(0))
 
 # None gets constructed as NaT
 assert_equal(np.timedelta64(None), np.timedelta64('NaT'))
 
 # Some basic strings and repr
 assert_equal(str(np.timedelta64('NaT')), 'NaT')
 assert_equal(repr(np.timedelta64('NaT')),
 "numpy.timedelta64('NaT')")
 assert_equal(str(np.timedelta64(3, 's')), '3 seconds')
 assert_equal(repr(np.timedelta64(-3, 's')),
 "numpy.timedelta64(-3,'s')")
 assert_equal(repr(np.timedelta64(12)),
 "numpy.timedelta64(12)")
 
 # Construction from an integer produces generic units
 assert_equal(np.timedelta64(12).dtype, np.dtype('m8'))
 
 # When constructing from a scalar or zero-dimensional array,
 # it either keeps the units or you can override them.
 a = np.timedelta64(2, 'h')
 b = np.array(2, dtype='m8[h]')
 
 assert_equal(a.dtype, np.dtype('m8[h]'))
 assert_equal(b.dtype, np.dtype('m8[h]'))
 
 assert_equal(np.timedelta64(a), a)
 assert_equal(np.timedelta64(a).dtype, np.dtype('m8[h]'))
 
 assert_equal(np.timedelta64(b), a)
 assert_equal(np.timedelta64(b).dtype, np.dtype('m8[h]'))
 
 assert_equal(np.timedelta64(a, 's'), a)
 assert_equal(np.timedelta64(a, 's').dtype, np.dtype('m8[s]'))
 
 assert_equal(np.timedelta64(b, 's'), a)
 assert_equal(np.timedelta64(b, 's').dtype, np.dtype('m8[s]'))
 
 # Construction from datetime.timedelta
 assert_equal(np.timedelta64(5, 'D'),
 np.timedelta64(datetime.timedelta(days=5)))
 assert_equal(np.timedelta64(102347621, 's'),
 np.timedelta64(datetime.timedelta(seconds=102347621)))
 assert_equal(np.timedelta64(-10234760000, 'us'),
 np.timedelta64(datetime.timedelta(
 microseconds=-10234760000)))
 assert_equal(np.timedelta64(10234760000, 'us'),
 np.timedelta64(datetime.timedelta(
 microseconds=10234760000)))
 assert_equal(np.timedelta64(1023476, 'ms'),
 np.timedelta64(datetime.timedelta(milliseconds=1023476)))
 assert_equal(np.timedelta64(10, 'm'),
 np.timedelta64(datetime.timedelta(minutes=10)))
 assert_equal(np.timedelta64(281, 'h'),
 np.timedelta64(datetime.timedelta(hours=281)))
 assert_equal(np.timedelta64(28, 'W'),
 np.timedelta64(datetime.timedelta(weeks=28)))
 
 # Cannot construct across nonlinear time unit boundaries
 a = np.timedelta64(3, 's')
 assert_raises(TypeError, np.timedelta64, a, 'M')
 assert_raises(TypeError, np.timedelta64, a, 'Y')
 a = np.timedelta64(6, 'M')
 assert_raises(TypeError, np.timedelta64, a, 'D')
 assert_raises(TypeError, np.timedelta64, a, 'h')
 a = np.timedelta64(1, 'Y')
 assert_raises(TypeError, np.timedelta64, a, 'D')
 assert_raises(TypeError, np.timedelta64, a, 'm')
 a = datetime.timedelta(seconds=3)
 assert_raises(TypeError, np.timedelta64, a, 'M')
 assert_raises(TypeError, np.timedelta64, a, 'Y')
 a = datetime.timedelta(weeks=3)
 assert_raises(TypeError, np.timedelta64, a, 'M')
 assert_raises(TypeError, np.timedelta64, a, 'Y')
 a = datetime.timedelta()
 assert_raises(TypeError, np.timedelta64, a, 'M')
 assert_raises(TypeError, np.timedelta64, a, 'Y')
 
 def test_timedelta_object_array_conversion(self):
 # Regression test for gh-11096
 inputs = [datetime.timedelta(28),
 datetime.timedelta(30),
 datetime.timedelta(31)]
 expected = np.array([28, 30, 31], dtype='timedelta64[D]')
 actual = np.array(inputs, dtype='timedelta64[D]')
 assert_equal(expected, actual)
 
 def test_timedelta_0_dim_object_array_conversion(self):
 # Regression test for gh-11151
 test = np.array(datetime.timedelta(seconds=20))
 actual = test.astype(np.timedelta64)
 # expected value from the array constructor workaround
 # described in above issue
 expected = np.array(datetime.timedelta(seconds=20),
 np.timedelta64)
 assert_equal(actual, expected)
 
 def test_timedelta_nat_format(self):
 # gh-17552
 assert_equal('NaT', '{0}'.format(np.timedelta64('nat')))
 
 def test_timedelta_scalar_construction_units(self):
 # String construction detecting units
 assert_equal(np.datetime64('2010').dtype,
 np.dtype('M8[Y]'))
 assert_equal(np.datetime64('2010-03').dtype,
 np.dtype('M8[M]'))
 assert_equal(np.datetime64('2010-03-12').dtype,
 np.dtype('M8[D]'))
 assert_equal(np.datetime64('2010-03-12T17').dtype,
 np.dtype('M8[h]'))
 assert_equal(np.datetime64('2010-03-12T17:15').dtype,
 np.dtype('M8[m]'))
 assert_equal(np.datetime64('2010-03-12T17:15:08').dtype,
 np.dtype('M8[s]'))
 
 assert_equal(np.datetime64('2010-03-12T17:15:08.1').dtype,
 np.dtype('M8[ms]'))
 assert_equal(np.datetime64('2010-03-12T17:15:08.12').dtype,
 np.dtype('M8[ms]'))
 assert_equal(np.datetime64('2010-03-12T17:15:08.123').dtype,
 np.dtype('M8[ms]'))
 
 assert_equal(np.datetime64('2010-03-12T17:15:08.1234').dtype,
 np.dtype('M8[us]'))
 assert_equal(np.datetime64('2010-03-12T17:15:08.12345').dtype,
 np.dtype('M8[us]'))
 assert_equal(np.datetime64('2010-03-12T17:15:08.123456').dtype,
 np.dtype('M8[us]'))
 
 assert_equal(np.datetime64('1970-01-01T00:00:02.1234567').dtype,
 np.dtype('M8[ns]'))
 assert_equal(np.datetime64('1970-01-01T00:00:02.12345678').dtype,
 np.dtype('M8[ns]'))
 assert_equal(np.datetime64('1970-01-01T00:00:02.123456789').dtype,
 np.dtype('M8[ns]'))
 
 assert_equal(np.datetime64('1970-01-01T00:00:02.1234567890').dtype,
 np.dtype('M8[ps]'))
 assert_equal(np.datetime64('1970-01-01T00:00:02.12345678901').dtype,
 np.dtype('M8[ps]'))
 assert_equal(np.datetime64('1970-01-01T00:00:02.123456789012').dtype,
 np.dtype('M8[ps]'))
 
 assert_equal(np.datetime64(
 '1970-01-01T00:00:02.1234567890123').dtype,
 np.dtype('M8[fs]'))
 assert_equal(np.datetime64(
 '1970-01-01T00:00:02.12345678901234').dtype,
 np.dtype('M8[fs]'))
 assert_equal(np.datetime64(
 '1970-01-01T00:00:02.123456789012345').dtype,
 np.dtype('M8[fs]'))
 
 assert_equal(np.datetime64(
 '1970-01-01T00:00:02.1234567890123456').dtype,
 np.dtype('M8[as]'))
 assert_equal(np.datetime64(
 '1970-01-01T00:00:02.12345678901234567').dtype,
 np.dtype('M8[as]'))
 assert_equal(np.datetime64(
 '1970-01-01T00:00:02.123456789012345678').dtype,
 np.dtype('M8[as]'))
 
 # Python date object
 assert_equal(np.datetime64(datetime.date(2010, 4, 16)).dtype,
 np.dtype('M8[D]'))
 
 # Python datetime object
 assert_equal(np.datetime64(
 datetime.datetime(2010, 4, 16, 13, 45, 18)).dtype,
 np.dtype('M8[us]'))
 
 # 'today' special value
 assert_equal(np.datetime64('today').dtype,
 np.dtype('M8[D]'))
 
 # 'now' special value
 assert_equal(np.datetime64('now').dtype,
 np.dtype('M8[s]'))
 
 def test_datetime_nat_casting(self):
 a = np.array('NaT', dtype='M8[D]')
 b = np.datetime64('NaT', '[D]')
 
 # Arrays
 assert_equal(a.astype('M8[s]'), np.array('NaT', dtype='M8[s]'))
 assert_equal(a.astype('M8[ms]'), np.array('NaT', dtype='M8[ms]'))
 assert_equal(a.astype('M8[M]'), np.array('NaT', dtype='M8[M]'))
 assert_equal(a.astype('M8[Y]'), np.array('NaT', dtype='M8[Y]'))
 assert_equal(a.astype('M8[W]'), np.array('NaT', dtype='M8[W]'))
 
 # Scalars -> Scalars
 assert_equal(np.datetime64(b, '[s]'), np.datetime64('NaT', '[s]'))
 assert_equal(np.datetime64(b, '[ms]'), np.datetime64('NaT', '[ms]'))
 assert_equal(np.datetime64(b, '[M]'), np.datetime64('NaT', '[M]'))
 assert_equal(np.datetime64(b, '[Y]'), np.datetime64('NaT', '[Y]'))
 assert_equal(np.datetime64(b, '[W]'), np.datetime64('NaT', '[W]'))
 
 # Arrays -> Scalars
 assert_equal(np.datetime64(a, '[s]'), np.datetime64('NaT', '[s]'))
 assert_equal(np.datetime64(a, '[ms]'), np.datetime64('NaT', '[ms]'))
 assert_equal(np.datetime64(a, '[M]'), np.datetime64('NaT', '[M]'))
 assert_equal(np.datetime64(a, '[Y]'), np.datetime64('NaT', '[Y]'))
 assert_equal(np.datetime64(a, '[W]'), np.datetime64('NaT', '[W]'))
 
 # NaN -> NaT
 nan = np.array([np.nan] * 8)
 fnan = nan.astype('f')
 lnan = nan.astype('g')
 cnan = nan.astype('D')
 cfnan = nan.astype('F')
 clnan = nan.astype('G')
 
 nat = np.array([np.datetime64('NaT')] * 8)
 assert_equal(nan.astype('M8[ns]'), nat)
 assert_equal(fnan.astype('M8[ns]'), nat)
 assert_equal(lnan.astype('M8[ns]'), nat)
 assert_equal(cnan.astype('M8[ns]'), nat)
 assert_equal(cfnan.astype('M8[ns]'), nat)
 assert_equal(clnan.astype('M8[ns]'), nat)
 
 nat = np.array([np.timedelta64('NaT')] * 8)
 assert_equal(nan.astype('timedelta64[ns]'), nat)
 assert_equal(fnan.astype('timedelta64[ns]'), nat)
 assert_equal(lnan.astype('timedelta64[ns]'), nat)
 assert_equal(cnan.astype('timedelta64[ns]'), nat)
 assert_equal(cfnan.astype('timedelta64[ns]'), nat)
 assert_equal(clnan.astype('timedelta64[ns]'), nat)
 
 def test_days_creation(self):
 assert_equal(np.array('1599', dtype='M8[D]').astype('i8'),
 (1600-1970)*365 - (1972-1600)/4 + 3 - 365)
 assert_equal(np.array('1600', dtype='M8[D]').astype('i8'),
 (1600-1970)*365 - (1972-1600)/4 + 3)
 assert_equal(np.array('1601', dtype='M8[D]').astype('i8'),
 (1600-1970)*365 - (1972-1600)/4 + 3 + 366)
 assert_equal(np.array('1900', dtype='M8[D]').astype('i8'),
 (1900-1970)*365 - (1970-1900)//4)
 assert_equal(np.array('1901', dtype='M8[D]').astype('i8'),
 (1900-1970)*365 - (1970-1900)//4 + 365)
 assert_equal(np.array('1967', dtype='M8[D]').astype('i8'), -3*365 - 1)
 assert_equal(np.array('1968', dtype='M8[D]').astype('i8'), -2*365 - 1)
 assert_equal(np.array('1969', dtype='M8[D]').astype('i8'), -1*365)
 assert_equal(np.array('1970', dtype='M8[D]').astype('i8'), 0*365)
 assert_equal(np.array('1971', dtype='M8[D]').astype('i8'), 1*365)
 assert_equal(np.array('1972', dtype='M8[D]').astype('i8'), 2*365)
 assert_equal(np.array('1973', dtype='M8[D]').astype('i8'), 3*365 + 1)
 assert_equal(np.array('1974', dtype='M8[D]').astype('i8'), 4*365 + 1)
 assert_equal(np.array('2000', dtype='M8[D]').astype('i8'),
 (2000 - 1970)*365 + (2000 - 1972)//4)
 assert_equal(np.array('2001', dtype='M8[D]').astype('i8'),
 (2000 - 1970)*365 + (2000 - 1972)//4 + 366)
 assert_equal(np.array('2400', dtype='M8[D]').astype('i8'),
 (2400 - 1970)*365 + (2400 - 1972)//4 - 3)
 assert_equal(np.array('2401', dtype='M8[D]').astype('i8'),
 (2400 - 1970)*365 + (2400 - 1972)//4 - 3 + 366)
 
 assert_equal(np.array('1600-02-29', dtype='M8[D]').astype('i8'),
 (1600-1970)*365 - (1972-1600)//4 + 3 + 31 + 28)
 assert_equal(np.array('1600-03-01', dtype='M8[D]').astype('i8'),
 (1600-1970)*365 - (1972-1600)//4 + 3 + 31 + 29)
 assert_equal(np.array('2000-02-29', dtype='M8[D]').astype('i8'),
 (2000 - 1970)*365 + (2000 - 1972)//4 + 31 + 28)
 assert_equal(np.array('2000-03-01', dtype='M8[D]').astype('i8'),
 (2000 - 1970)*365 + (2000 - 1972)//4 + 31 + 29)
 assert_equal(np.array('2001-03-22', dtype='M8[D]').astype('i8'),
 (2000 - 1970)*365 + (2000 - 1972)//4 + 366 + 31 + 28 + 21)
 
 def test_days_to_pydate(self):
 assert_equal(np.array('1599', dtype='M8[D]').astype('O'),
 datetime.date(1599, 1, 1))
 assert_equal(np.array('1600', dtype='M8[D]').astype('O'),
 datetime.date(1600, 1, 1))
 assert_equal(np.array('1601', dtype='M8[D]').astype('O'),
 datetime.date(1601, 1, 1))
 assert_equal(np.array('1900', dtype='M8[D]').astype('O'),
 datetime.date(1900, 1, 1))
 assert_equal(np.array('1901', dtype='M8[D]').astype('O'),
 datetime.date(1901, 1, 1))
 assert_equal(np.array('2000', dtype='M8[D]').astype('O'),
 datetime.date(2000, 1, 1))
 assert_equal(np.array('2001', dtype='M8[D]').astype('O'),
 datetime.date(2001, 1, 1))
 assert_equal(np.array('1600-02-29', dtype='M8[D]').astype('O'),
 datetime.date(1600, 2, 29))
 assert_equal(np.array('1600-03-01', dtype='M8[D]').astype('O'),
 datetime.date(1600, 3, 1))
 assert_equal(np.array('2001-03-22', dtype='M8[D]').astype('O'),
 datetime.date(2001, 3, 22))
 
 def test_dtype_comparison(self):
 assert_(not (np.dtype('M8[us]') == np.dtype('M8[ms]')))
 assert_(np.dtype('M8[us]') != np.dtype('M8[ms]'))
 assert_(np.dtype('M8[2D]') != np.dtype('M8[D]'))
 assert_(np.dtype('M8[D]') != np.dtype('M8[2D]'))
 
 def test_pydatetime_creation(self):
 a = np.array(['1960-03-12', datetime.date(1960, 3, 12)], dtype='M8[D]')
 assert_equal(a[0], a[1])
 a = np.array(['1999-12-31', datetime.date(1999, 12, 31)], dtype='M8[D]')
 assert_equal(a[0], a[1])
 a = np.array(['2000-01-01', datetime.date(2000, 1, 1)], dtype='M8[D]')
 assert_equal(a[0], a[1])
 # Will fail if the date changes during the exact right moment
 a = np.array(['today', datetime.date.today()], dtype='M8[D]')
 assert_equal(a[0], a[1])
 # datetime.datetime.now() returns local time, not UTC
 #a = np.array(['now', datetime.datetime.now()], dtype='M8[s]')
 #assert_equal(a[0], a[1])
 
 # we can give a datetime.date time units
 assert_equal(np.array(datetime.date(1960, 3, 12), dtype='M8[s]'),
 np.array(np.datetime64('1960-03-12T00:00:00')))
 
 def test_datetime_string_conversion(self):
 a = ['2011-03-16', '1920-01-01', '2013-05-19']
 str_a = np.array(a, dtype='S')
 uni_a = np.array(a, dtype='U')
 dt_a = np.array(a, dtype='M')
 
 # String to datetime
 assert_equal(dt_a, str_a.astype('M'))
 assert_equal(dt_a.dtype, str_a.astype('M').dtype)
 dt_b = np.empty_like(dt_a)
 dt_b[...] = str_a
 assert_equal(dt_a, dt_b)
 
 # Datetime to string
 assert_equal(str_a, dt_a.astype('S0'))
 str_b = np.empty_like(str_a)
 str_b[...] = dt_a
 assert_equal(str_a, str_b)
 
 # Unicode to datetime
 assert_equal(dt_a, uni_a.astype('M'))
 assert_equal(dt_a.dtype, uni_a.astype('M').dtype)
 dt_b = np.empty_like(dt_a)
 dt_b[...] = uni_a
 assert_equal(dt_a, dt_b)
 
 # Datetime to unicode
 assert_equal(uni_a, dt_a.astype('U'))
 uni_b = np.empty_like(uni_a)
 uni_b[...] = dt_a
 assert_equal(uni_a, uni_b)
 
 # Datetime to long string - gh-9712
 assert_equal(str_a, dt_a.astype((np.bytes_, 128)))
 str_b = np.empty(str_a.shape, dtype=(np.bytes_, 128))
 str_b[...] = dt_a
 assert_equal(str_a, str_b)
 
 @pytest.mark.parametrize("time_dtype", ["m8[D]", "M8[Y]"])
 def test_time_byteswapping(self, time_dtype):
 times = np.array(["2017", "NaT"], dtype=time_dtype)
 times_swapped = times.astype(times.dtype.newbyteorder())
 assert_array_equal(times, times_swapped)
 
 unswapped = times_swapped.view(np.int64).newbyteorder()
 assert_array_equal(unswapped, times.view(np.int64))
 
 @pytest.mark.parametrize(["time1", "time2"],
 [("M8[s]", "M8[D]"), ("m8[s]", "m8[ns]")])
 def test_time_byteswapped_cast(self, time1, time2):
 dtype1 = np.dtype(time1)
 dtype2 = np.dtype(time2)
 times = np.array(["2017", "NaT"], dtype=dtype1)
 expected = times.astype(dtype2)
 
 # Test that every byte-swapping combination also returns the same
 # results (previous tests check that this comparison works fine).
 res = times.astype(dtype1.newbyteorder()).astype(dtype2)
 assert_array_equal(res, expected)
 res = times.astype(dtype2.newbyteorder())
 assert_array_equal(res, expected)
 res = times.astype(dtype1.newbyteorder()).astype(dtype2.newbyteorder())
 assert_array_equal(res, expected)
 
 @pytest.mark.parametrize("time_dtype", ["m8[D]", "M8[Y]"])
 @pytest.mark.parametrize("str_dtype", ["U", "S"])
 def test_datetime_conversions_byteorders(self, str_dtype, time_dtype):
 times = np.array(["2017", "NaT"], dtype=time_dtype)
 # Unfortunately, timedelta does not roundtrip:
 from_strings = np.array(["2017", "NaT"], dtype=str_dtype)
 to_strings = times.astype(str_dtype)  # assume this is correct
 
 # Check that conversion from times to string works if src is swapped:
 times_swapped = times.astype(times.dtype.newbyteorder())
 res = times_swapped.astype(str_dtype)
 assert_array_equal(res, to_strings)
 # And also if both are swapped:
 res = times_swapped.astype(to_strings.dtype.newbyteorder())
 assert_array_equal(res, to_strings)
 # only destination is swapped:
 res = times.astype(to_strings.dtype.newbyteorder())
 assert_array_equal(res, to_strings)
 
 # Check that conversion from string to times works if src is swapped:
 from_strings_swapped = from_strings.astype(
 from_strings.dtype.newbyteorder())
 res = from_strings_swapped.astype(time_dtype)
 assert_array_equal(res, times)
 # And if both are swapped:
 res = from_strings_swapped.astype(times.dtype.newbyteorder())
 assert_array_equal(res, times)
 # Only destination is swapped:
 res = from_strings.astype(times.dtype.newbyteorder())
 assert_array_equal(res, times)
 
 def test_datetime_array_str(self):
 a = np.array(['2011-03-16', '1920-01-01', '2013-05-19'], dtype='M')
 assert_equal(str(a), "['2011-03-16' '1920-01-01' '2013-05-19']")
 
 a = np.array(['2011-03-16T13:55', '1920-01-01T03:12'], dtype='M')
 assert_equal(np.array2string(a, separator=', ',
 formatter={'datetime': lambda x:
 "'%s'" % np.datetime_as_string(x, timezone='UTC')}),
 "['2011-03-16T13:55Z', '1920-01-01T03:12Z']")
 
 # Check that one NaT doesn't corrupt subsequent entries
 a = np.array(['2010', 'NaT', '2030']).astype('M')
 assert_equal(str(a), "['2010'  'NaT' '2030']")
 
 def test_timedelta_array_str(self):
 a = np.array([-1, 0, 100], dtype='m')
 assert_equal(str(a), "[ -1   0 100]")
 a = np.array(['NaT', 'NaT'], dtype='m')
 assert_equal(str(a), "['NaT' 'NaT']")
 # Check right-alignment with NaTs
 a = np.array([-1, 'NaT', 0], dtype='m')
 assert_equal(str(a), "[   -1 'NaT'     0]")
 a = np.array([-1, 'NaT', 1234567], dtype='m')
 assert_equal(str(a), "[     -1   'NaT' 1234567]")
 
 # Test with other byteorder:
 a = np.array([-1, 'NaT', 1234567], dtype='>m')
 assert_equal(str(a), "[     -1   'NaT' 1234567]")
 a = np.array([-1, 'NaT', 1234567], dtype='<m')
 assert_equal(str(a), "[     -1   'NaT' 1234567]")
 
 def test_pickle(self):
 # Check that pickle roundtripping works
 for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
 dt = np.dtype('M8[7D]')
 assert_equal(pickle.loads(pickle.dumps(dt, protocol=proto)), dt)
 dt = np.dtype('M8[W]')
 assert_equal(pickle.loads(pickle.dumps(dt, protocol=proto)), dt)
 scalar = np.datetime64('2016-01-01T00:00:00.000000000')
 assert_equal(pickle.loads(pickle.dumps(scalar, protocol=proto)),
 scalar)
 delta = scalar - np.datetime64('2015-01-01T00:00:00.000000000')
 assert_equal(pickle.loads(pickle.dumps(delta, protocol=proto)),
 delta)
 
 # Check that loading pickles from 1.6 works
 pkl = b"cnumpy\ndtype\np0\n(S'M8'\np1\nI0\nI1\ntp2\nRp3\n" + \
 b"(I4\nS'<'\np4\nNNNI-1\nI-1\nI0\n((dp5\n(S'D'\np6\n" + \
 b"I7\nI1\nI1\ntp7\ntp8\ntp9\nb."
 assert_equal(pickle.loads(pkl), np.dtype('<M8[7D]'))
 pkl = b"cnumpy\ndtype\np0\n(S'M8'\np1\nI0\nI1\ntp2\nRp3\n" + \
 b"(I4\nS'<'\np4\nNNNI-1\nI-1\nI0\n((dp5\n(S'W'\np6\n" + \
 b"I1\nI1\nI1\ntp7\ntp8\ntp9\nb."
 assert_equal(pickle.loads(pkl), np.dtype('<M8[W]'))
 pkl = b"cnumpy\ndtype\np0\n(S'M8'\np1\nI0\nI1\ntp2\nRp3\n" + \
 b"(I4\nS'>'\np4\nNNNI-1\nI-1\nI0\n((dp5\n(S'us'\np6\n" + \
 b"I1\nI1\nI1\ntp7\ntp8\ntp9\nb."
 assert_equal(pickle.loads(pkl), np.dtype('>M8[us]'))
 
 def test_setstate(self):
 "Verify that datetime dtype __setstate__ can handle bad arguments"
 dt = np.dtype('>M8[us]')
 assert_raises(ValueError, dt.__setstate__, (4, '>', None, None, None, -1, -1, 0, 1))
 assert_(dt.__reduce__()[2] == np.dtype('>M8[us]').__reduce__()[2])
 assert_raises(TypeError, dt.__setstate__, (4, '>', None, None, None, -1, -1, 0, ({}, 'xxx')))
 assert_(dt.__reduce__()[2] == np.dtype('>M8[us]').__reduce__()[2])
 
 def test_dtype_promotion(self):
 # datetime <op> datetime computes the metadata gcd
 # timedelta <op> timedelta computes the metadata gcd
 for mM in ['m', 'M']:
 assert_equal(
 np.promote_types(np.dtype(mM+'8[2Y]'), np.dtype(mM+'8[2Y]')),
 np.dtype(mM+'8[2Y]'))
 assert_equal(
 np.promote_types(np.dtype(mM+'8[12Y]'), np.dtype(mM+'8[15Y]')),
 np.dtype(mM+'8[3Y]'))
 assert_equal(
 np.promote_types(np.dtype(mM+'8[62M]'), np.dtype(mM+'8[24M]')),
 np.dtype(mM+'8[2M]'))
 assert_equal(
 np.promote_types(np.dtype(mM+'8[1W]'), np.dtype(mM+'8[2D]')),
 np.dtype(mM+'8[1D]'))
 assert_equal(
 np.promote_types(np.dtype(mM+'8[W]'), np.dtype(mM+'8[13s]')),
 np.dtype(mM+'8[s]'))
 assert_equal(
 np.promote_types(np.dtype(mM+'8[13W]'), np.dtype(mM+'8[49s]')),
 np.dtype(mM+'8[7s]'))
 # timedelta <op> timedelta raises when there is no reasonable gcd
 assert_raises(TypeError, np.promote_types,
 np.dtype('m8[Y]'), np.dtype('m8[D]'))
 assert_raises(TypeError, np.promote_types,
 np.dtype('m8[M]'), np.dtype('m8[W]'))
 # timedelta and float cannot be safely cast with each other
 assert_raises(TypeError, np.promote_types, "float32", "m8")
 assert_raises(TypeError, np.promote_types, "m8", "float32")
 assert_raises(TypeError, np.promote_types, "uint64", "m8")
 assert_raises(TypeError, np.promote_types, "m8", "uint64")
 
 # timedelta <op> timedelta may overflow with big unit ranges
 assert_raises(OverflowError, np.promote_types,
 np.dtype('m8[W]'), np.dtype('m8[fs]'))
 assert_raises(OverflowError, np.promote_types,
 np.dtype('m8[s]'), np.dtype('m8[as]'))
 
 def test_cast_overflow(self):
 # gh-4486
 def cast():
 numpy.datetime64("1971-01-01 00:00:00.000000000000000").astype("<M8[D]")
 assert_raises(OverflowError, cast)
 
 def cast2():
 numpy.datetime64("2014").astype("<M8[fs]")
 assert_raises(OverflowError, cast2)
 
 def test_pyobject_roundtrip(self):
 # All datetime types should be able to roundtrip through object
 a = np.array([0, 0, 0, 0, 0, 0, 0, 0, 0,
 -1020040340, -2942398, -1, 0, 1, 234523453, 1199164176],
 dtype=np.int64)
 # With date units
 for unit in ['M8[D]', 'M8[W]', 'M8[M]', 'M8[Y]']:
 b = a.copy().view(dtype=unit)
 b[0] = '-0001-01-01'
 b[1] = '-0001-12-31'
 b[2] = '0000-01-01'
 b[3] = '0001-01-01'
 b[4] = '1969-12-31'
 b[5] = '1970-01-01'
 b[6] = '9999-12-31'
 b[7] = '10000-01-01'
 b[8] = 'NaT'
 
 assert_equal(b.astype(object).astype(unit), b,
 "Error roundtripping unit %s" % unit)
 # With time units
 for unit in ['M8[as]', 'M8[16fs]', 'M8[ps]', 'M8[us]',
 'M8[300as]', 'M8[20us]']:
 b = a.copy().view(dtype=unit)
 b[0] = '-0001-01-01T00'
 b[1] = '-0001-12-31T00'
 b[2] = '0000-01-01T00'
 b[3] = '0001-01-01T00'
 b[4] = '1969-12-31T23:59:59.999999'
 b[5] = '1970-01-01T00'
 b[6] = '9999-12-31T23:59:59.999999'
 b[7] = '10000-01-01T00'
 b[8] = 'NaT'
 
 assert_equal(b.astype(object).astype(unit), b,
 "Error roundtripping unit %s" % unit)
 
 def test_month_truncation(self):
 # Make sure that months are truncating correctly
 assert_equal(np.array('1945-03-01', dtype='M8[M]'),
 np.array('1945-03-31', dtype='M8[M]'))
 assert_equal(np.array('1969-11-01', dtype='M8[M]'),
 np.array('1969-11-30T23:59:59.99999', dtype='M').astype('M8[M]'))
 assert_equal(np.array('1969-12-01', dtype='M8[M]'),
 np.array('1969-12-31T23:59:59.99999', dtype='M').astype('M8[M]'))
 assert_equal(np.array('1970-01-01', dtype='M8[M]'),
 np.array('1970-01-31T23:59:59.99999', dtype='M').astype('M8[M]'))
 assert_equal(np.array('1980-02-01', dtype='M8[M]'),
 np.array('1980-02-29T23:59:59.99999', dtype='M').astype('M8[M]'))
 
 def test_different_unit_comparison(self):
 # Check some years with date units
 for unit1 in ['Y', 'M', 'D']:
 dt1 = np.dtype('M8[%s]' % unit1)
 for unit2 in ['Y', 'M', 'D']:
 dt2 = np.dtype('M8[%s]' % unit2)
 assert_equal(np.array('1945', dtype=dt1),
 np.array('1945', dtype=dt2))
 assert_equal(np.array('1970', dtype=dt1),
 np.array('1970', dtype=dt2))
 assert_equal(np.array('9999', dtype=dt1),
 np.array('9999', dtype=dt2))
 assert_equal(np.array('10000', dtype=dt1),
 np.array('10000-01-01', dtype=dt2))
 assert_equal(np.datetime64('1945', unit1),
 np.datetime64('1945', unit2))
 assert_equal(np.datetime64('1970', unit1),
 np.datetime64('1970', unit2))
 assert_equal(np.datetime64('9999', unit1),
 np.datetime64('9999', unit2))
 assert_equal(np.datetime64('10000', unit1),
 np.datetime64('10000-01-01', unit2))
 # Check some datetimes with time units
 for unit1 in ['6h', 'h', 'm', 's', '10ms', 'ms', 'us']:
 dt1 = np.dtype('M8[%s]' % unit1)
 for unit2 in ['h', 'm', 's', 'ms', 'us']:
 dt2 = np.dtype('M8[%s]' % unit2)
 assert_equal(np.array('1945-03-12T18', dtype=dt1),
 np.array('1945-03-12T18', dtype=dt2))
 assert_equal(np.array('1970-03-12T18', dtype=dt1),
 np.array('1970-03-12T18', dtype=dt2))
 assert_equal(np.array('9999-03-12T18', dtype=dt1),
 np.array('9999-03-12T18', dtype=dt2))
 assert_equal(np.array('10000-01-01T00', dtype=dt1),
 np.array('10000-01-01T00', dtype=dt2))
 assert_equal(np.datetime64('1945-03-12T18', unit1),
 np.datetime64('1945-03-12T18', unit2))
 assert_equal(np.datetime64('1970-03-12T18', unit1),
 np.datetime64('1970-03-12T18', unit2))
 assert_equal(np.datetime64('9999-03-12T18', unit1),
 np.datetime64('9999-03-12T18', unit2))
 assert_equal(np.datetime64('10000-01-01T00', unit1),
 np.datetime64('10000-01-01T00', unit2))
 # Check some days with units that won't overflow
 for unit1 in ['D', '12h', 'h', 'm', 's', '4s', 'ms', 'us']:
 dt1 = np.dtype('M8[%s]' % unit1)
 for unit2 in ['D', 'h', 'm', 's', 'ms', 'us']:
 dt2 = np.dtype('M8[%s]' % unit2)
 assert_(np.equal(np.array('1932-02-17', dtype='M').astype(dt1),
 np.array('1932-02-17T00:00:00', dtype='M').astype(dt2),
 casting='unsafe'))
 assert_(np.equal(np.array('10000-04-27', dtype='M').astype(dt1),
 np.array('10000-04-27T00:00:00', dtype='M').astype(dt2),
 casting='unsafe'))
 
 # Shouldn't be able to compare datetime and timedelta
 a = np.array('2012-12-21', dtype='M8[D]')
 b = np.array(3, dtype='m8[D]')
 assert_raises(TypeError, np.less, a, b)
 # not even if "unsafe"
 assert_raises(TypeError, np.less, a, b, casting='unsafe')
 
 def test_datetime_like(self):
 a = np.array([3], dtype='m8[4D]')
 b = np.array(['2012-12-21'], dtype='M8[D]')
 
 assert_equal(np.ones_like(a).dtype, a.dtype)
 assert_equal(np.zeros_like(a).dtype, a.dtype)
 assert_equal(np.empty_like(a).dtype, a.dtype)
 assert_equal(np.ones_like(b).dtype, b.dtype)
 assert_equal(np.zeros_like(b).dtype, b.dtype)
 assert_equal(np.empty_like(b).dtype, b.dtype)
 
 def test_datetime_unary(self):
 for tda, tdb, tdzero, tdone, tdmone in \
 [
 # One-dimensional arrays
 (np.array([3], dtype='m8[D]'),
 np.array([-3], dtype='m8[D]'),
 np.array([0], dtype='m8[D]'),
 np.array([1], dtype='m8[D]'),
 np.array([-1], dtype='m8[D]')),
 # NumPy scalars
 (np.timedelta64(3, '[D]'),
 np.timedelta64(-3, '[D]'),
 np.timedelta64(0, '[D]'),
 np.timedelta64(1, '[D]'),
 np.timedelta64(-1, '[D]'))]:
 # negative ufunc
 assert_equal(-tdb, tda)
 assert_equal((-tdb).dtype, tda.dtype)
 assert_equal(np.negative(tdb), tda)
 assert_equal(np.negative(tdb).dtype, tda.dtype)
 
 # positive ufunc
 assert_equal(np.positive(tda), tda)
 assert_equal(np.positive(tda).dtype, tda.dtype)
 assert_equal(np.positive(tdb), tdb)
 assert_equal(np.positive(tdb).dtype, tdb.dtype)
 
 # absolute ufunc
 assert_equal(np.absolute(tdb), tda)
 assert_equal(np.absolute(tdb).dtype, tda.dtype)
 
 # sign ufunc
 assert_equal(np.sign(tda), tdone)
 assert_equal(np.sign(tdb), tdmone)
 assert_equal(np.sign(tdzero), tdzero)
 assert_equal(np.sign(tda).dtype, tda.dtype)
 
 # The ufuncs always produce native-endian results
 assert_
 
 def test_datetime_add(self):
 for dta, dtb, dtc, dtnat, tda, tdb, tdc in \
 [
 # One-dimensional arrays
 (np.array(['2012-12-21'], dtype='M8[D]'),
 np.array(['2012-12-24'], dtype='M8[D]'),
 np.array(['2012-12-21T11'], dtype='M8[h]'),
 np.array(['NaT'], dtype='M8[D]'),
 np.array([3], dtype='m8[D]'),
 np.array([11], dtype='m8[h]'),
 np.array([3*24 + 11], dtype='m8[h]')),
 # NumPy scalars
 (np.datetime64('2012-12-21', '[D]'),
 np.datetime64('2012-12-24', '[D]'),
 np.datetime64('2012-12-21T11', '[h]'),
 np.datetime64('NaT', '[D]'),
 np.timedelta64(3, '[D]'),
 np.timedelta64(11, '[h]'),
 np.timedelta64(3*24 + 11, '[h]'))]:
 # m8 + m8
 assert_equal(tda + tdb, tdc)
 assert_equal((tda + tdb).dtype, np.dtype('m8[h]'))
 # m8 + bool
 assert_equal(tdb + True, tdb + 1)
 assert_equal((tdb + True).dtype, np.dtype('m8[h]'))
 # m8 + int
 assert_equal(tdb + 3*24, tdc)
 assert_equal((tdb + 3*24).dtype, np.dtype('m8[h]'))
 # bool + m8
 assert_equal(False + tdb, tdb)
 assert_equal((False + tdb).dtype, np.dtype('m8[h]'))
 # int + m8
 assert_equal(3*24 + tdb, tdc)
 assert_equal((3*24 + tdb).dtype, np.dtype('m8[h]'))
 # M8 + bool
 assert_equal(dta + True, dta + 1)
 assert_equal(dtnat + True, dtnat)
 assert_equal((dta + True).dtype, np.dtype('M8[D]'))
 # M8 + int
 assert_equal(dta + 3, dtb)
 assert_equal(dtnat + 3, dtnat)
 assert_equal((dta + 3).dtype, np.dtype('M8[D]'))
 # bool + M8
 assert_equal(False + dta, dta)
 assert_equal(False + dtnat, dtnat)
 assert_equal((False + dta).dtype, np.dtype('M8[D]'))
 # int + M8
 assert_equal(3 + dta, dtb)
 assert_equal(3 + dtnat, dtnat)
 assert_equal((3 + dta).dtype, np.dtype('M8[D]'))
 # M8 + m8
 assert_equal(dta + tda, dtb)
 assert_equal(dtnat + tda, dtnat)
 assert_equal((dta + tda).dtype, np.dtype('M8[D]'))
 # m8 + M8
 assert_equal(tda + dta, dtb)
 assert_equal(tda + dtnat, dtnat)
 assert_equal((tda + dta).dtype, np.dtype('M8[D]'))
 
 # In M8 + m8, the result goes to higher precision
 assert_equal(np.add(dta, tdb, casting='unsafe'), dtc)
 assert_equal(np.add(dta, tdb, casting='unsafe').dtype,
 np.dtype('M8[h]'))
 assert_equal(np.add(tdb, dta, casting='unsafe'), dtc)
 assert_equal(np.add(tdb, dta, casting='unsafe').dtype,
 np.dtype('M8[h]'))
 
 # M8 + M8
 assert_raises(TypeError, np.add, dta, dtb)
 
 def test_datetime_subtract(self):
 for dta, dtb, dtc, dtd, dte, dtnat, tda, tdb, tdc in \
 [
 # One-dimensional arrays
 (np.array(['2012-12-21'], dtype='M8[D]'),
 np.array(['2012-12-24'], dtype='M8[D]'),
 np.array(['1940-12-24'], dtype='M8[D]'),
 np.array(['1940-12-24T00'], dtype='M8[h]'),
 np.array(['1940-12-23T13'], dtype='M8[h]'),
 np.array(['NaT'], dtype='M8[D]'),
 np.array([3], dtype='m8[D]'),
 np.array([11], dtype='m8[h]'),
 np.array([3*24 - 11], dtype='m8[h]')),
 # NumPy scalars
 (np.datetime64('2012-12-21', '[D]'),
 np.datetime64('2012-12-24', '[D]'),
 np.datetime64('1940-12-24', '[D]'),
 np.datetime64('1940-12-24T00', '[h]'),
 np.datetime64('1940-12-23T13', '[h]'),
 np.datetime64('NaT', '[D]'),
 np.timedelta64(3, '[D]'),
 np.timedelta64(11, '[h]'),
 np.timedelta64(3*24 - 11, '[h]'))]:
 # m8 - m8
 assert_equal(tda - tdb, tdc)
 assert_equal((tda - tdb).dtype, np.dtype('m8[h]'))
 assert_equal(tdb - tda, -tdc)
 assert_equal((tdb - tda).dtype, np.dtype('m8[h]'))
 # m8 - bool
 assert_equal(tdc - True, tdc - 1)
 assert_equal((tdc - True).dtype, np.dtype('m8[h]'))
 # m8 - int
 assert_equal(tdc - 3*24, -tdb)
 assert_equal((tdc - 3*24).dtype, np.dtype('m8[h]'))
 # int - m8
 assert_equal(False - tdb, -tdb)
 assert_equal((False - tdb).dtype, np.dtype('m8[h]'))
 # int - m8
 assert_equal(3*24 - tdb, tdc)
 assert_equal((3*24 - tdb).dtype, np.dtype('m8[h]'))
 # M8 - bool
 assert_equal(dtb - True, dtb - 1)
 assert_equal(dtnat - True, dtnat)
 assert_equal((dtb - True).dtype, np.dtype('M8[D]'))
 # M8 - int
 assert_equal(dtb - 3, dta)
 assert_equal(dtnat - 3, dtnat)
 assert_equal((dtb - 3).dtype, np.dtype('M8[D]'))
 # M8 - m8
 assert_equal(dtb - tda, dta)
 assert_equal(dtnat - tda, dtnat)
 assert_equal((dtb - tda).dtype, np.dtype('M8[D]'))
 
 # In M8 - m8, the result goes to higher precision
 assert_equal(np.subtract(dtc, tdb, casting='unsafe'), dte)
 assert_equal(np.subtract(dtc, tdb, casting='unsafe').dtype,
 np.dtype('M8[h]'))
 
 # M8 - M8 with different goes to higher precision
 assert_equal(np.subtract(dtc, dtd, casting='unsafe'),
 np.timedelta64(0, 'h'))
 assert_equal(np.subtract(dtc, dtd, casting='unsafe').dtype,
 np.dtype('m8[h]'))
 assert_equal(np.subtract(dtd, dtc, casting='unsafe'),
 np.timedelta64(0, 'h'))
 assert_equal(np.subtract(dtd, dtc, casting='unsafe').dtype,
 np.dtype('m8[h]'))
 
 # m8 - M8
 assert_raises(TypeError, np.subtract, tda, dta)
 # bool - M8
 assert_raises(TypeError, np.subtract, False, dta)
 # int - M8
 assert_raises(TypeError, np.subtract, 3, dta)
 
 def test_datetime_multiply(self):
 for dta, tda, tdb, tdc in \
 [
 # One-dimensional arrays
 (np.array(['2012-12-21'], dtype='M8[D]'),
 np.array([6], dtype='m8[h]'),
 np.array([9], dtype='m8[h]'),
 np.array([12], dtype='m8[h]')),
 # NumPy scalars
 (np.datetime64('2012-12-21', '[D]'),
 np.timedelta64(6, '[h]'),
 np.timedelta64(9, '[h]'),
 np.timedelta64(12, '[h]'))]:
 # m8 * int
 assert_equal(tda * 2, tdc)
 assert_equal((tda * 2).dtype, np.dtype('m8[h]'))
 # int * m8
 assert_equal(2 * tda, tdc)
 assert_equal((2 * tda).dtype, np.dtype('m8[h]'))
 # m8 * float
 assert_equal(tda * 1.5, tdb)
 assert_equal((tda * 1.5).dtype, np.dtype('m8[h]'))
 # float * m8
 assert_equal(1.5 * tda, tdb)
 assert_equal((1.5 * tda).dtype, np.dtype('m8[h]'))
 
 # m8 * m8
 assert_raises(TypeError, np.multiply, tda, tdb)
 # m8 * M8
 assert_raises(TypeError, np.multiply, dta, tda)
 # M8 * m8
 assert_raises(TypeError, np.multiply, tda, dta)
 # M8 * int
 assert_raises(TypeError, np.multiply, dta, 2)
 # int * M8
 assert_raises(TypeError, np.multiply, 2, dta)
 # M8 * float
 assert_raises(TypeError, np.multiply, dta, 1.5)
 # float * M8
 assert_raises(TypeError, np.multiply, 1.5, dta)
 
 # NaTs
 with suppress_warnings() as sup:
 sup.filter(RuntimeWarning, "invalid value encountered in multiply")
 nat = np.timedelta64('NaT')
 def check(a, b, res):
 assert_equal(a * b, res)
 assert_equal(b * a, res)
 for tp in (int, float):
 check(nat, tp(2), nat)
 check(nat, tp(0), nat)
 for f in (float('inf'), float('nan')):
 check(np.timedelta64(1), f, nat)
 check(np.timedelta64(0), f, nat)
 check(nat, f, nat)
 
 @pytest.mark.parametrize("op1, op2, exp", [
 # m8 same units round down
 (np.timedelta64(7, 's'),
 np.timedelta64(4, 's'),
 1),
 # m8 same units round down with negative
 (np.timedelta64(7, 's'),
 np.timedelta64(-4, 's'),
 -2),
 # m8 same units negative no round down
 (np.timedelta64(8, 's'),
 np.timedelta64(-4, 's'),
 -2),
 # m8 different units
 (np.timedelta64(1, 'm'),
 np.timedelta64(31, 's'),
 1),
 # m8 generic units
 (np.timedelta64(1890),
 np.timedelta64(31),
 60),
 # Y // M works
 (np.timedelta64(2, 'Y'),
 np.timedelta64('13', 'M'),
 1),
 # handle 1D arrays
 (np.array([1, 2, 3], dtype='m8'),
 np.array([2], dtype='m8'),
 np.array([0, 1, 1], dtype=np.int64)),
 ])
 def test_timedelta_floor_divide(self, op1, op2, exp):
 assert_equal(op1 // op2, exp)
 
 @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm")
 @pytest.mark.parametrize("op1, op2", [
 # div by 0
 (np.timedelta64(10, 'us'),
 np.timedelta64(0, 'us')),
 # div with NaT
 (np.timedelta64('NaT'),
 np.timedelta64(50, 'us')),
 # special case for int64 min
 # in integer floor division
 (np.timedelta64(np.iinfo(np.int64).min),
 np.timedelta64(-1)),
 ])
 def test_timedelta_floor_div_warnings(self, op1, op2):
 with assert_warns(RuntimeWarning):
 actual = op1 // op2
 assert_equal(actual, 0)
 assert_equal(actual.dtype, np.int64)
 
 @pytest.mark.parametrize("val1, val2", [
 # the smallest integer that can't be represented
 # exactly in a double should be preserved if we avoid
 # casting to double in floordiv operation
 (9007199254740993, 1),
 # stress the alternate floordiv code path where
 # operand signs don't match and remainder isn't 0
 (9007199254740999, -2),
 ])
 def test_timedelta_floor_div_precision(self, val1, val2):
 op1 = np.timedelta64(val1)
 op2 = np.timedelta64(val2)
 actual = op1 // op2
 # Python reference integer floor
 expected = val1 // val2
 assert_equal(actual, expected)
 
 @pytest.mark.parametrize("val1, val2", [
 # years and months sometimes can't be unambiguously
 # divided for floor division operation
 (np.timedelta64(7, 'Y'),
 np.timedelta64(3, 's')),
 (np.timedelta64(7, 'M'),
 np.timedelta64(1, 'D')),
 ])
 def test_timedelta_floor_div_error(self, val1, val2):
 with assert_raises_regex(TypeError, "common metadata divisor"):
 val1 // val2
 
 @pytest.mark.parametrize("op1, op2", [
 # reuse the test cases from floordiv
 (np.timedelta64(7, 's'),
 np.timedelta64(4, 's')),
 # m8 same units round down with negative
 (np.timedelta64(7, 's'),
 np.timedelta64(-4, 's')),
 # m8 same units negative no round down
 (np.timedelta64(8, 's'),
 np.timedelta64(-4, 's')),
 # m8 different units
 (np.timedelta64(1, 'm'),
 np.timedelta64(31, 's')),
 # m8 generic units
 (np.timedelta64(1890),
 np.timedelta64(31)),
 # Y // M works
 (np.timedelta64(2, 'Y'),
 np.timedelta64('13', 'M')),
 # handle 1D arrays
 (np.array([1, 2, 3], dtype='m8'),
 np.array([2], dtype='m8')),
 ])
 def test_timedelta_divmod(self, op1, op2):
 expected = (op1 // op2, op1 % op2)
 assert_equal(divmod(op1, op2), expected)
 
 @pytest.mark.skipif(IS_WASM, reason="does not work in wasm")
 @pytest.mark.parametrize("op1, op2", [
 # reuse cases from floordiv
 # div by 0
 (np.timedelta64(10, 'us'),
 np.timedelta64(0, 'us')),
 # div with NaT
 (np.timedelta64('NaT'),
 np.timedelta64(50, 'us')),
 # special case for int64 min
 # in integer floor division
 (np.timedelta64(np.iinfo(np.int64).min),
 np.timedelta64(-1)),
 ])
 def test_timedelta_divmod_warnings(self, op1, op2):
 with assert_warns(RuntimeWarning):
 expected = (op1 // op2, op1 % op2)
 with assert_warns(RuntimeWarning):
 actual = divmod(op1, op2)
 assert_equal(actual, expected)
 
 def test_datetime_divide(self):
 for dta, tda, tdb, tdc, tdd in \
 [
 # One-dimensional arrays
 (np.array(['2012-12-21'], dtype='M8[D]'),
 np.array([6], dtype='m8[h]'),
 np.array([9], dtype='m8[h]'),
 np.array([12], dtype='m8[h]'),
 np.array([6], dtype='m8[m]')),
 # NumPy scalars
 (np.datetime64('2012-12-21', '[D]'),
 np.timedelta64(6, '[h]'),
 np.timedelta64(9, '[h]'),
 np.timedelta64(12, '[h]'),
 np.timedelta64(6, '[m]'))]:
 # m8 / int
 assert_equal(tdc / 2, tda)
 assert_equal((tdc / 2).dtype, np.dtype('m8[h]'))
 # m8 / float
 assert_equal(tda / 0.5, tdc)
 assert_equal((tda / 0.5).dtype, np.dtype('m8[h]'))
 # m8 / m8
 assert_equal(tda / tdb, 6 / 9)
 assert_equal(np.divide(tda, tdb), 6 / 9)
 assert_equal(np.true_divide(tda, tdb), 6 / 9)
 assert_equal(tdb / tda, 9 / 6)
 assert_equal((tda / tdb).dtype, np.dtype('f8'))
 assert_equal(tda / tdd, 60)
 assert_equal(tdd / tda, 1 / 60)
 
 # int / m8
 assert_raises(TypeError, np.divide, 2, tdb)
 # float / m8
 assert_raises(TypeError, np.divide, 0.5, tdb)
 # m8 / M8
 assert_raises(TypeError, np.divide, dta, tda)
 # M8 / m8
 assert_raises(TypeError, np.divide, tda, dta)
 # M8 / int
 assert_raises(TypeError, np.divide, dta, 2)
 # int / M8
 assert_raises(TypeError, np.divide, 2, dta)
 # M8 / float
 assert_raises(TypeError, np.divide, dta, 1.5)
 # float / M8
 assert_raises(TypeError, np.divide, 1.5, dta)
 
 # NaTs
 with suppress_warnings() as sup:
 sup.filter(RuntimeWarning,  r".*encountered in divide")
 nat = np.timedelta64('NaT')
 for tp in (int, float):
 assert_equal(np.timedelta64(1) / tp(0), nat)
 assert_equal(np.timedelta64(0) / tp(0), nat)
 assert_equal(nat / tp(0), nat)
 assert_equal(nat / tp(2), nat)
 # Division by inf
 assert_equal(np.timedelta64(1) / float('inf'), np.timedelta64(0))
 assert_equal(np.timedelta64(0) / float('inf'), np.timedelta64(0))
 assert_equal(nat / float('inf'), nat)
 # Division by nan
 assert_equal(np.timedelta64(1) / float('nan'), nat)
 assert_equal(np.timedelta64(0) / float('nan'), nat)
 assert_equal(nat / float('nan'), nat)
 
 def test_datetime_compare(self):
 # Test all the comparison operators
 a = np.datetime64('2000-03-12T18:00:00.000000')
 b = np.array(['2000-03-12T18:00:00.000000',
 '2000-03-12T17:59:59.999999',
 '2000-03-12T18:00:00.000001',
 '1970-01-11T12:00:00.909090',
 '2016-01-11T12:00:00.909090'],
 dtype='datetime64[us]')
 assert_equal(np.equal(a, b), [1, 0, 0, 0, 0])
 assert_equal(np.not_equal(a, b), [0, 1, 1, 1, 1])
 assert_equal(np.less(a, b), [0, 0, 1, 0, 1])
 assert_equal(np.less_equal(a, b), [1, 0, 1, 0, 1])
 assert_equal(np.greater(a, b), [0, 1, 0, 1, 0])
 assert_equal(np.greater_equal(a, b), [1, 1, 0, 1, 0])
 
 def test_datetime_compare_nat(self):
 dt_nat = np.datetime64('NaT', 'D')
 dt_other = np.datetime64('2000-01-01')
 td_nat = np.timedelta64('NaT', 'h')
 td_other = np.timedelta64(1, 'h')
 
 for op in [np.equal, np.less, np.less_equal,
 np.greater, np.greater_equal]:
 assert_(not op(dt_nat, dt_nat))
 assert_(not op(dt_nat, dt_other))
 assert_(not op(dt_other, dt_nat))
 
 assert_(not op(td_nat, td_nat))
 assert_(not op(td_nat, td_other))
 assert_(not op(td_other, td_nat))
 
 assert_(np.not_equal(dt_nat, dt_nat))
 assert_(np.not_equal(dt_nat, dt_other))
 assert_(np.not_equal(dt_other, dt_nat))
 
 assert_(np.not_equal(td_nat, td_nat))
 assert_(np.not_equal(td_nat, td_other))
 assert_(np.not_equal(td_other, td_nat))
 
 def test_datetime_minmax(self):
 # The metadata of the result should become the GCD
 # of the operand metadata
 a = np.array('1999-03-12T13', dtype='M8[2m]')
 b = np.array('1999-03-12T12', dtype='M8[s]')
 assert_equal(np.minimum(a, b), b)
 assert_equal(np.minimum(a, b).dtype, np.dtype('M8[s]'))
 assert_equal(np.fmin(a, b), b)
 assert_equal(np.fmin(a, b).dtype, np.dtype('M8[s]'))
 assert_equal(np.maximum(a, b), a)
 assert_equal(np.maximum(a, b).dtype, np.dtype('M8[s]'))
 assert_equal(np.fmax(a, b), a)
 assert_equal(np.fmax(a, b).dtype, np.dtype('M8[s]'))
 # Viewed as integers, the comparison is opposite because
 # of the units chosen
 assert_equal(np.minimum(a.view('i8'), b.view('i8')), a.view('i8'))
 
 # Interaction with NaT
 a = np.array('1999-03-12T13', dtype='M8[2m]')
 dtnat = np.array('NaT', dtype='M8[h]')
 assert_equal(np.minimum(a, dtnat), dtnat)
 assert_equal(np.minimum(dtnat, a), dtnat)
 assert_equal(np.maximum(a, dtnat), dtnat)
 assert_equal(np.maximum(dtnat, a), dtnat)
 assert_equal(np.fmin(dtnat, a), a)
 assert_equal(np.fmin(a, dtnat), a)
 assert_equal(np.fmax(dtnat, a), a)
 assert_equal(np.fmax(a, dtnat), a)
 
 # Also do timedelta
 a = np.array(3, dtype='m8[h]')
 b = np.array(3*3600 - 3, dtype='m8[s]')
 assert_equal(np.minimum(a, b), b)
 assert_equal(np.minimum(a, b).dtype, np.dtype('m8[s]'))
 assert_equal(np.fmin(a, b), b)
 assert_equal(np.fmin(a, b).dtype, np.dtype('m8[s]'))
 assert_equal(np.maximum(a, b), a)
 assert_equal(np.maximum(a, b).dtype, np.dtype('m8[s]'))
 assert_equal(np.fmax(a, b), a)
 assert_equal(np.fmax(a, b).dtype, np.dtype('m8[s]'))
 # Viewed as integers, the comparison is opposite because
 # of the units chosen
 assert_equal(np.minimum(a.view('i8'), b.view('i8')), a.view('i8'))
 
 # should raise between datetime and timedelta
 #
 # TODO: Allowing unsafe casting by
 #       default in ufuncs strikes again... :(
 a = np.array(3, dtype='m8[h]')
 b = np.array('1999-03-12T12', dtype='M8[s]')
 #assert_raises(TypeError, np.minimum, a, b)
 #assert_raises(TypeError, np.maximum, a, b)
 #assert_raises(TypeError, np.fmin, a, b)
 #assert_raises(TypeError, np.fmax, a, b)
 assert_raises(TypeError, np.minimum, a, b, casting='same_kind')
 assert_raises(TypeError, np.maximum, a, b, casting='same_kind')
 assert_raises(TypeError, np.fmin, a, b, casting='same_kind')
 assert_raises(TypeError, np.fmax, a, b, casting='same_kind')
 
 def test_hours(self):
 t = np.ones(3, dtype='M8[s]')
 t[0] = 60*60*24 + 60*60*10
 assert_(t[0].item().hour == 10)
 
 def test_divisor_conversion_year(self):
 assert_(np.dtype('M8[Y/4]') == np.dtype('M8[3M]'))
 assert_(np.dtype('M8[Y/13]') == np.dtype('M8[4W]'))
 assert_(np.dtype('M8[3Y/73]') == np.dtype('M8[15D]'))
 
 def test_divisor_conversion_month(self):
 assert_(np.dtype('M8[M/2]') == np.dtype('M8[2W]'))
 assert_(np.dtype('M8[M/15]') == np.dtype('M8[2D]'))
 assert_(np.dtype('M8[3M/40]') == np.dtype('M8[54h]'))
 
 def test_divisor_conversion_week(self):
 assert_(np.dtype('m8[W/7]') == np.dtype('m8[D]'))
 assert_(np.dtype('m8[3W/14]') == np.dtype('m8[36h]'))
 assert_(np.dtype('m8[5W/140]') == np.dtype('m8[360m]'))
 
 def test_divisor_conversion_day(self):
 assert_(np.dtype('M8[D/12]') == np.dtype('M8[2h]'))
 assert_(np.dtype('M8[D/120]') == np.dtype('M8[12m]'))
 assert_(np.dtype('M8[3D/960]') == np.dtype('M8[270s]'))
 
 def test_divisor_conversion_hour(self):
 assert_(np.dtype('m8[h/30]') == np.dtype('m8[2m]'))
 assert_(np.dtype('m8[3h/300]') == np.dtype('m8[36s]'))
 
 def test_divisor_conversion_minute(self):
 assert_(np.dtype('m8[m/30]') == np.dtype('m8[2s]'))
 assert_(np.dtype('m8[3m/300]') == np.dtype('m8[600ms]'))
 
 def test_divisor_conversion_second(self):
 assert_(np.dtype('m8[s/100]') == np.dtype('m8[10ms]'))
 assert_(np.dtype('m8[3s/10000]') == np.dtype('m8[300us]'))
 
 def test_divisor_conversion_fs(self):
 assert_(np.dtype('M8[fs/100]') == np.dtype('M8[10as]'))
 assert_raises(ValueError, lambda: np.dtype('M8[3fs/10000]'))
 
 def test_divisor_conversion_as(self):
 assert_raises(ValueError, lambda: np.dtype('M8[as/10]'))
 
 def test_string_parser_variants(self):
 # Allow space instead of 'T' between date and time
 assert_equal(np.array(['1980-02-29T01:02:03'], np.dtype('M8[s]')),
 np.array(['1980-02-29 01:02:03'], np.dtype('M8[s]')))
 # Allow positive years
 assert_equal(np.array(['+1980-02-29T01:02:03'], np.dtype('M8[s]')),
 np.array(['+1980-02-29 01:02:03'], np.dtype('M8[s]')))
 # Allow negative years
 assert_equal(np.array(['-1980-02-29T01:02:03'], np.dtype('M8[s]')),
 np.array(['-1980-02-29 01:02:03'], np.dtype('M8[s]')))
 # UTC specifier
 with assert_warns(DeprecationWarning):
 assert_equal(
 np.array(['+1980-02-29T01:02:03'], np.dtype('M8[s]')),
 np.array(['+1980-02-29 01:02:03Z'], np.dtype('M8[s]')))
 with assert_warns(DeprecationWarning):
 assert_equal(
 np.array(['-1980-02-29T01:02:03'], np.dtype('M8[s]')),
 np.array(['-1980-02-29 01:02:03Z'], np.dtype('M8[s]')))
 # Time zone offset
 with assert_warns(DeprecationWarning):
 assert_equal(
 np.array(['1980-02-29T02:02:03'], np.dtype('M8[s]')),
 np.array(['1980-02-29 00:32:03-0130'], np.dtype('M8[s]')))
 with assert_warns(DeprecationWarning):
 assert_equal(
 np.array(['1980-02-28T22:32:03'], np.dtype('M8[s]')),
 np.array(['1980-02-29 00:02:03+01:30'], np.dtype('M8[s]')))
 with assert_warns(DeprecationWarning):
 assert_equal(
 np.array(['1980-02-29T02:32:03.506'], np.dtype('M8[s]')),
 np.array(['1980-02-29 00:32:03.506-02'], np.dtype('M8[s]')))
 with assert_warns(DeprecationWarning):
 assert_equal(np.datetime64('1977-03-02T12:30-0230'),
 np.datetime64('1977-03-02T15:00'))
 
 def test_string_parser_error_check(self):
 # Arbitrary bad string
 assert_raises(ValueError, np.array, ['badvalue'], np.dtype('M8[us]'))
 # Character after year must be '-'
 assert_raises(ValueError, np.array, ['1980X'], np.dtype('M8[us]'))
 # Cannot have trailing '-'
 assert_raises(ValueError, np.array, ['1980-'], np.dtype('M8[us]'))
 # Month must be in range [1,12]
 assert_raises(ValueError, np.array, ['1980-00'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-13'], np.dtype('M8[us]'))
 # Month must have two digits
 assert_raises(ValueError, np.array, ['1980-1'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-1-02'], np.dtype('M8[us]'))
 # 'Mor' is not a valid month
 assert_raises(ValueError, np.array, ['1980-Mor'], np.dtype('M8[us]'))
 # Cannot have trailing '-'
 assert_raises(ValueError, np.array, ['1980-01-'], np.dtype('M8[us]'))
 # Day must be in range [1,len(month)]
 assert_raises(ValueError, np.array, ['1980-01-0'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-01-00'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-01-32'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1979-02-29'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-30'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-03-32'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-04-31'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-05-32'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-06-31'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-07-32'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-08-32'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-09-31'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-10-32'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-11-31'], np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-12-32'], np.dtype('M8[us]'))
 # Cannot have trailing characters
 assert_raises(ValueError, np.array, ['1980-02-03%'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03 q'],
 np.dtype('M8[us]'))
 
 # Hours must be in range [0, 23]
 assert_raises(ValueError, np.array, ['1980-02-03 25'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03T25'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03 24:01'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03T24:01'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03 -1'],
 np.dtype('M8[us]'))
 # No trailing ':'
 assert_raises(ValueError, np.array, ['1980-02-03 01:'],
 np.dtype('M8[us]'))
 # Minutes must be in range [0, 59]
 assert_raises(ValueError, np.array, ['1980-02-03 01:-1'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03 01:60'],
 np.dtype('M8[us]'))
 # No trailing ':'
 assert_raises(ValueError, np.array, ['1980-02-03 01:60:'],
 np.dtype('M8[us]'))
 # Seconds must be in range [0, 59]
 assert_raises(ValueError, np.array, ['1980-02-03 01:10:-1'],
 np.dtype('M8[us]'))
 assert_raises(ValueError, np.array, ['1980-02-03 01:01:60'],
 np.dtype('M8[us]'))
 # Timezone offset must within a reasonable range
 with assert_warns(DeprecationWarning):
 assert_raises(ValueError, np.array, ['1980-02-03 01:01:00+0661'],
 np.dtype('M8[us]'))
 with assert_warns(DeprecationWarning):
 assert_raises(ValueError, np.array, ['1980-02-03 01:01:00+2500'],
 np.dtype('M8[us]'))
 with assert_warns(DeprecationWarning):
 assert_raises(ValueError, np.array, ['1980-02-03 01:01:00-0070'],
 np.dtype('M8[us]'))
 with assert_warns(DeprecationWarning):
 assert_raises(ValueError, np.array, ['1980-02-03 01:01:00-3000'],
 np.dtype('M8[us]'))
 with assert_warns(DeprecationWarning):
 assert_raises(ValueError, np.array, ['1980-02-03 01:01:00-25:00'],
 np.dtype('M8[us]'))
 
 def test_creation_overflow(self):
 date = '1980-03-23 20:00:00'
 timesteps = np.array([date], dtype='datetime64[s]')[0].astype(np.int64)
 for unit in ['ms', 'us', 'ns']:
 timesteps *= 1000
 x = np.array([date], dtype='datetime64[%s]' % unit)
 
 assert_equal(timesteps, x[0].astype(np.int64),
 err_msg='Datetime conversion error for unit %s' % unit)
 
 assert_equal(x[0].astype(np.int64), 322689600000000000)
 
 # gh-13062
 with pytest.raises(OverflowError):
 np.datetime64(2**64, 'D')
 with pytest.raises(OverflowError):
 np.timedelta64(2**64, 'D')
 
 def test_datetime_as_string(self):
 # Check all the units with default string conversion
 date = '1959-10-13'
 datetime = '1959-10-13T12:34:56.789012345678901234'
 
 assert_equal(np.datetime_as_string(np.datetime64(date, 'Y')),
 '1959')
 assert_equal(np.datetime_as_string(np.datetime64(date, 'M')),
 '1959-10')
 assert_equal(np.datetime_as_string(np.datetime64(date, 'D')),
 '1959-10-13')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'h')),
 '1959-10-13T12')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'm')),
 '1959-10-13T12:34')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 's')),
 '1959-10-13T12:34:56')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'ms')),
 '1959-10-13T12:34:56.789')
 for us in ['us', 'μs', b'us']:  # check non-ascii and bytes too
 assert_equal(np.datetime_as_string(np.datetime64(datetime, us)),
 '1959-10-13T12:34:56.789012')
 
 datetime = '1969-12-31T23:34:56.789012345678901234'
 
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'ns')),
 '1969-12-31T23:34:56.789012345')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'ps')),
 '1969-12-31T23:34:56.789012345678')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'fs')),
 '1969-12-31T23:34:56.789012345678901')
 
 datetime = '1969-12-31T23:59:57.789012345678901234'
 
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'as')),
 datetime)
 datetime = '1970-01-01T00:34:56.789012345678901234'
 
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'ns')),
 '1970-01-01T00:34:56.789012345')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'ps')),
 '1970-01-01T00:34:56.789012345678')
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'fs')),
 '1970-01-01T00:34:56.789012345678901')
 
 datetime = '1970-01-01T00:00:05.789012345678901234'
 
 assert_equal(np.datetime_as_string(np.datetime64(datetime, 'as')),
 datetime)
 
 # String conversion with the unit= parameter
 a = np.datetime64('2032-07-18T12:23:34.123456', 'us')
 assert_equal(np.datetime_as_string(a, unit='Y', casting='unsafe'),
 '2032')
 assert_equal(np.datetime_as_string(a, unit='M', casting='unsafe'),
 '2032-07')
 assert_equal(np.datetime_as_string(a, unit='W', casting='unsafe'),
 '2032-07-18')
 assert_equal(np.datetime_as_string(a, unit='D', casting='unsafe'),
 '2032-07-18')
 assert_equal(np.datetime_as_string(a, unit='h'), '2032-07-18T12')
 assert_equal(np.datetime_as_string(a, unit='m'),
 '2032-07-18T12:23')
 assert_equal(np.datetime_as_string(a, unit='s'),
 '2032-07-18T12:23:34')
 assert_equal(np.datetime_as_string(a, unit='ms'),
 '2032-07-18T12:23:34.123')
 assert_equal(np.datetime_as_string(a, unit='us'),
 '2032-07-18T12:23:34.123456')
 assert_equal(np.datetime_as_string(a, unit='ns'),
 '2032-07-18T12:23:34.123456000')
 assert_equal(np.datetime_as_string(a, unit='ps'),
 '2032-07-18T12:23:34.123456000000')
 assert_equal(np.datetime_as_string(a, unit='fs'),
 '2032-07-18T12:23:34.123456000000000')
 assert_equal(np.datetime_as_string(a, unit='as'),
 '2032-07-18T12:23:34.123456000000000000')
 
 # unit='auto' parameter
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-18T12:23:34.123456', 'us'), unit='auto'),
 '2032-07-18T12:23:34.123456')
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-18T12:23:34.12', 'us'), unit='auto'),
 '2032-07-18T12:23:34.120')
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-18T12:23:34', 'us'), unit='auto'),
 '2032-07-18T12:23:34')
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-18T12:23:00', 'us'), unit='auto'),
 '2032-07-18T12:23')
 # 'auto' doesn't split up hour and minute
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-18T12:00:00', 'us'), unit='auto'),
 '2032-07-18T12:00')
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-18T00:00:00', 'us'), unit='auto'),
 '2032-07-18')
 # 'auto' doesn't split up the date
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-07-01T00:00:00', 'us'), unit='auto'),
 '2032-07-01')
 assert_equal(np.datetime_as_string(
 np.datetime64('2032-01-01T00:00:00', 'us'), unit='auto'),
 '2032-01-01')
 
 @pytest.mark.skipif(not _has_pytz, reason="The pytz module is not available.")
 def test_datetime_as_string_timezone(self):
 # timezone='local' vs 'UTC'
 a = np.datetime64('2010-03-15T06:30', 'm')
 assert_equal(np.datetime_as_string(a),
 '2010-03-15T06:30')
 assert_equal(np.datetime_as_string(a, timezone='naive'),
 '2010-03-15T06:30')
 assert_equal(np.datetime_as_string(a, timezone='UTC'),
 '2010-03-15T06:30Z')
 assert_(np.datetime_as_string(a, timezone='local') !=
 '2010-03-15T06:30')
 
 b = np.datetime64('2010-02-15T06:30', 'm')
 
 assert_equal(np.datetime_as_string(a, timezone=tz('US/Central')),
 '2010-03-15T01:30-0500')
 assert_equal(np.datetime_as_string(a, timezone=tz('US/Eastern')),
 '2010-03-15T02:30-0400')
 assert_equal(np.datetime_as_string(a, timezone=tz('US/Pacific')),
 '2010-03-14T23:30-0700')
 
 assert_equal(np.datetime_as_string(b, timezone=tz('US/Central')),
 '2010-02-15T00:30-0600')
 assert_equal(np.datetime_as_string(b, timezone=tz('US/Eastern')),
 '2010-02-15T01:30-0500')
 assert_equal(np.datetime_as_string(b, timezone=tz('US/Pacific')),
 '2010-02-14T22:30-0800')
 
 # Dates to strings with a timezone attached is disabled by default
 assert_raises(TypeError, np.datetime_as_string, a, unit='D',
 timezone=tz('US/Pacific'))
 # Check that we can print out the date in the specified time zone
 assert_equal(np.datetime_as_string(a, unit='D',
 timezone=tz('US/Pacific'), casting='unsafe'),
 '2010-03-14')
 assert_equal(np.datetime_as_string(b, unit='D',
 timezone=tz('US/Central'), casting='unsafe'),
 '2010-02-15')
 
 def test_datetime_arange(self):
 # With two datetimes provided as strings
 a = np.arange('2010-01-05', '2010-01-10', dtype='M8[D]')
 assert_equal(a.dtype, np.dtype('M8[D]'))
 assert_equal(a,
 np.array(['2010-01-05', '2010-01-06', '2010-01-07',
 '2010-01-08', '2010-01-09'], dtype='M8[D]'))
 
 a = np.arange('1950-02-10', '1950-02-06', -1, dtype='M8[D]')
 assert_equal(a.dtype, np.dtype('M8[D]'))
 assert_equal(a,
 np.array(['1950-02-10', '1950-02-09', '1950-02-08',
 '1950-02-07'], dtype='M8[D]'))
 
 # Unit should be detected as months here
 a = np.arange('1969-05', '1970-05', 2, dtype='M8')
 assert_equal(a.dtype, np.dtype('M8[M]'))
 assert_equal(a,
 np.datetime64('1969-05') + np.arange(12, step=2))
 
 # datetime, integer|timedelta works as well
 # produces arange (start, start + stop) in this case
 a = np.arange('1969', 18, 3, dtype='M8')
 assert_equal(a.dtype, np.dtype('M8[Y]'))
 assert_equal(a,
 np.datetime64('1969') + np.arange(18, step=3))
 a = np.arange('1969-12-19', 22, np.timedelta64(2), dtype='M8')
 assert_equal(a.dtype, np.dtype('M8[D]'))
 assert_equal(a,
 np.datetime64('1969-12-19') + np.arange(22, step=2))
 
 # Step of 0 is disallowed
 assert_raises(ValueError, np.arange, np.datetime64('today'),
 np.datetime64('today') + 3, 0)
 # Promotion across nonlinear unit boundaries is disallowed
 assert_raises(TypeError, np.arange, np.datetime64('2011-03-01', 'D'),
 np.timedelta64(5, 'M'))
 assert_raises(TypeError, np.arange,
 np.datetime64('2012-02-03T14', 's'),
 np.timedelta64(5, 'Y'))
 
 def test_datetime_arange_no_dtype(self):
 d = np.array('2010-01-04', dtype="M8[D]")
 assert_equal(np.arange(d, d + 1), d)
 assert_raises(ValueError, np.arange, d)
 
 def test_timedelta_arange(self):
 a = np.arange(3, 10, dtype='m8')
 assert_equal(a.dtype, np.dtype('m8'))
 assert_equal(a, np.timedelta64(0) + np.arange(3, 10))
 
 a = np.arange(np.timedelta64(3, 's'), 10, 2, dtype='m8')
 assert_equal(a.dtype, np.dtype('m8[s]'))
 assert_equal(a, np.timedelta64(0, 's') + np.arange(3, 10, 2))
 
 # Step of 0 is disallowed
 assert_raises(ValueError, np.arange, np.timedelta64(0),
 np.timedelta64(5), 0)
 # Promotion across nonlinear unit boundaries is disallowed
 assert_raises(TypeError, np.arange, np.timedelta64(0, 'D'),
 np.timedelta64(5, 'M'))
 assert_raises(TypeError, np.arange, np.timedelta64(0, 'Y'),
 np.timedelta64(5, 'D'))
 
 @pytest.mark.parametrize("val1, val2, expected", [
 # case from gh-12092
 (np.timedelta64(7, 's'),
 np.timedelta64(3, 's'),
 np.timedelta64(1, 's')),
 # negative value cases
 (np.timedelta64(3, 's'),
 np.timedelta64(-2, 's'),
 np.timedelta64(-1, 's')),
 (np.timedelta64(-3, 's'),
 np.timedelta64(2, 's'),
 np.timedelta64(1, 's')),
 # larger value cases
 (np.timedelta64(17, 's'),
 np.timedelta64(22, 's'),
 np.timedelta64(17, 's')),
 (np.timedelta64(22, 's'),
 np.timedelta64(17, 's'),
 np.timedelta64(5, 's')),
 # different units
 (np.timedelta64(1, 'm'),
 np.timedelta64(57, 's'),
 np.timedelta64(3, 's')),
 (np.timedelta64(1, 'us'),
 np.timedelta64(727, 'ns'),
 np.timedelta64(273, 'ns')),
 # NaT is propagated
 (np.timedelta64('NaT'),
 np.timedelta64(50, 'ns'),
 np.timedelta64('NaT')),
 # Y % M works
 (np.timedelta64(2, 'Y'),
 np.timedelta64(22, 'M'),
 np.timedelta64(2, 'M')),
 ])
 def test_timedelta_modulus(self, val1, val2, expected):
 assert_equal(val1 % val2, expected)
 
 @pytest.mark.parametrize("val1, val2", [
 # years and months sometimes can't be unambiguously
 # divided for modulus operation
 (np.timedelta64(7, 'Y'),
 np.timedelta64(3, 's')),
 (np.timedelta64(7, 'M'),
 np.timedelta64(1, 'D')),
 ])
 def test_timedelta_modulus_error(self, val1, val2):
 with assert_raises_regex(TypeError, "common metadata divisor"):
 val1 % val2
 
 @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm")
 def test_timedelta_modulus_div_by_zero(self):
 with assert_warns(RuntimeWarning):
 actual = np.timedelta64(10, 's') % np.timedelta64(0, 's')
 assert_equal(actual, np.timedelta64('NaT'))
 
 @pytest.mark.parametrize("val1, val2", [
 # cases where one operand is not
 # timedelta64
 (np.timedelta64(7, 'Y'),
 15,),
 (7.5,
 np.timedelta64(1, 'D')),
 ])
 def test_timedelta_modulus_type_resolution(self, val1, val2):
 # NOTE: some of the operations may be supported
 # in the future
 with assert_raises_regex(TypeError,
 "'remainder' cannot use operands with types"):
 val1 % val2
 
 def test_timedelta_arange_no_dtype(self):
 d = np.array(5, dtype="m8[D]")
 assert_equal(np.arange(d, d + 1), d)
 assert_equal(np.arange(d), np.arange(0, d))
 
 def test_datetime_maximum_reduce(self):
 a = np.array(['2010-01-02', '1999-03-14', '1833-03'], dtype='M8[D]')
 assert_equal(np.maximum.reduce(a).dtype, np.dtype('M8[D]'))
 assert_equal(np.maximum.reduce(a),
 np.datetime64('2010-01-02'))
 
 a = np.array([1, 4, 0, 7, 2], dtype='m8[s]')
 assert_equal(np.maximum.reduce(a).dtype, np.dtype('m8[s]'))
 assert_equal(np.maximum.reduce(a),
 np.timedelta64(7, 's'))
 
 def test_timedelta_correct_mean(self):
 # test mainly because it worked only via a bug in that allowed:
 # `timedelta.sum(dtype="f8")` to ignore the dtype request.
 a = np.arange(1000, dtype="m8[s]")
 assert_array_equal(a.mean(), a.sum() / len(a))
 
 def test_datetime_no_subtract_reducelike(self):
 # subtracting two datetime64 works, but we cannot reduce it, since
 # the result of that subtraction will have a different dtype.
 arr = np.array(["2021-12-02", "2019-05-12"], dtype="M8[ms]")
 msg = r"the resolved dtypes are not compatible"
 
 with pytest.raises(TypeError, match=msg):
 np.subtract.reduce(arr)
 
 with pytest.raises(TypeError, match=msg):
 np.subtract.accumulate(arr)
 
 with pytest.raises(TypeError, match=msg):
 np.subtract.reduceat(arr, [0])
 
 def test_datetime_busday_offset(self):
 # First Monday in June
 assert_equal(
 np.busday_offset('2011-06', 0, roll='forward', weekmask='Mon'),
 np.datetime64('2011-06-06'))
 # Last Monday in June
 assert_equal(
 np.busday_offset('2011-07', -1, roll='forward', weekmask='Mon'),
 np.datetime64('2011-06-27'))
 assert_equal(
 np.busday_offset('2011-07', -1, roll='forward', weekmask='Mon'),
 np.datetime64('2011-06-27'))
 
 # Default M-F business days, different roll modes
 assert_equal(np.busday_offset('2010-08', 0, roll='backward'),
 np.datetime64('2010-07-30'))
 assert_equal(np.busday_offset('2010-08', 0, roll='preceding'),
 np.datetime64('2010-07-30'))
 assert_equal(np.busday_offset('2010-08', 0, roll='modifiedpreceding'),
 np.datetime64('2010-08-02'))
 assert_equal(np.busday_offset('2010-08', 0, roll='modifiedfollowing'),
 np.datetime64('2010-08-02'))
 assert_equal(np.busday_offset('2010-08', 0, roll='forward'),
 np.datetime64('2010-08-02'))
 assert_equal(np.busday_offset('2010-08', 0, roll='following'),
 np.datetime64('2010-08-02'))
 assert_equal(np.busday_offset('2010-10-30', 0, roll='following'),
 np.datetime64('2010-11-01'))
 assert_equal(
 np.busday_offset('2010-10-30', 0, roll='modifiedfollowing'),
 np.datetime64('2010-10-29'))
 assert_equal(
 np.busday_offset('2010-10-30', 0, roll='modifiedpreceding'),
 np.datetime64('2010-10-29'))
 assert_equal(
 np.busday_offset('2010-10-16', 0, roll='modifiedfollowing'),
 np.datetime64('2010-10-18'))
 assert_equal(
 np.busday_offset('2010-10-16', 0, roll='modifiedpreceding'),
 np.datetime64('2010-10-15'))
 # roll='raise' by default
 assert_raises(ValueError, np.busday_offset, '2011-06-04', 0)
 
 # Bigger offset values
 assert_equal(np.busday_offset('2006-02-01', 25),
 np.datetime64('2006-03-08'))
 assert_equal(np.busday_offset('2006-03-08', -25),
 np.datetime64('2006-02-01'))
 assert_equal(np.busday_offset('2007-02-25', 11, weekmask='SatSun'),
 np.datetime64('2007-04-07'))
 assert_equal(np.busday_offset('2007-04-07', -11, weekmask='SatSun'),
 np.datetime64('2007-02-25'))
 
 # NaT values when roll is not raise
 assert_equal(np.busday_offset(np.datetime64('NaT'), 1, roll='nat'),
 np.datetime64('NaT'))
 assert_equal(np.busday_offset(np.datetime64('NaT'), 1, roll='following'),
 np.datetime64('NaT'))
 assert_equal(np.busday_offset(np.datetime64('NaT'), 1, roll='preceding'),
 np.datetime64('NaT'))
 
 def test_datetime_busdaycalendar(self):
 # Check that it removes NaT, duplicates, and weekends
 # and sorts the result.
 bdd = np.busdaycalendar(
 holidays=['NaT', '2011-01-17', '2011-03-06', 'NaT',
 '2011-12-26', '2011-05-30', '2011-01-17'])
 assert_equal(bdd.holidays,
 np.array(['2011-01-17', '2011-05-30', '2011-12-26'], dtype='M8'))
 # Default M-F weekmask
 assert_equal(bdd.weekmask, np.array([1, 1, 1, 1, 1, 0, 0], dtype='?'))
 
 # Check string weekmask with varying whitespace.
 bdd = np.busdaycalendar(weekmask="Sun TueWed  Thu\tFri")
 assert_equal(bdd.weekmask, np.array([0, 1, 1, 1, 1, 0, 1], dtype='?'))
 
 # Check length 7 0/1 string
 bdd = np.busdaycalendar(weekmask="0011001")
 assert_equal(bdd.weekmask, np.array([0, 0, 1, 1, 0, 0, 1], dtype='?'))
 
 # Check length 7 string weekmask.
 bdd = np.busdaycalendar(weekmask="Mon Tue")
 assert_equal(bdd.weekmask, np.array([1, 1, 0, 0, 0, 0, 0], dtype='?'))
 
 # All-zeros weekmask should raise
 assert_raises(ValueError, np.busdaycalendar, weekmask=[0, 0, 0, 0, 0, 0, 0])
 # weekday names must be correct case
 assert_raises(ValueError, np.busdaycalendar, weekmask="satsun")
 # All-zeros weekmask should raise
 assert_raises(ValueError, np.busdaycalendar, weekmask="")
 # Invalid weekday name codes should raise
 assert_raises(ValueError, np.busdaycalendar, weekmask="Mon Tue We")
 assert_raises(ValueError, np.busdaycalendar, weekmask="Max")
 assert_raises(ValueError, np.busdaycalendar, weekmask="Monday Tue")
 
 def test_datetime_busday_holidays_offset(self):
 # With exactly one holiday
 assert_equal(
 np.busday_offset('2011-11-10', 1, holidays=['2011-11-11']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-04', 5, holidays=['2011-11-11']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-10', 5, holidays=['2011-11-11']),
 np.datetime64('2011-11-18'))
 assert_equal(
 np.busday_offset('2011-11-14', -1, holidays=['2011-11-11']),
 np.datetime64('2011-11-10'))
 assert_equal(
 np.busday_offset('2011-11-18', -5, holidays=['2011-11-11']),
 np.datetime64('2011-11-10'))
 assert_equal(
 np.busday_offset('2011-11-14', -5, holidays=['2011-11-11']),
 np.datetime64('2011-11-04'))
 # With the holiday appearing twice
 assert_equal(
 np.busday_offset('2011-11-10', 1,
 holidays=['2011-11-11', '2011-11-11']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-14', -1,
 holidays=['2011-11-11', '2011-11-11']),
 np.datetime64('2011-11-10'))
 # With a NaT holiday
 assert_equal(
 np.busday_offset('2011-11-10', 1,
 holidays=['2011-11-11', 'NaT']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-14', -1,
 holidays=['NaT', '2011-11-11']),
 np.datetime64('2011-11-10'))
 # With another holiday after
 assert_equal(
 np.busday_offset('2011-11-10', 1,
 holidays=['2011-11-11', '2011-11-24']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-14', -1,
 holidays=['2011-11-11', '2011-11-24']),
 np.datetime64('2011-11-10'))
 # With another holiday before
 assert_equal(
 np.busday_offset('2011-11-10', 1,
 holidays=['2011-10-10', '2011-11-11']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-14', -1,
 holidays=['2011-10-10', '2011-11-11']),
 np.datetime64('2011-11-10'))
 # With another holiday before and after
 assert_equal(
 np.busday_offset('2011-11-10', 1,
 holidays=['2011-10-10', '2011-11-11', '2011-11-24']),
 np.datetime64('2011-11-14'))
 assert_equal(
 np.busday_offset('2011-11-14', -1,
 holidays=['2011-10-10', '2011-11-11', '2011-11-24']),
 np.datetime64('2011-11-10'))
 
 # A bigger forward jump across more than one week/holiday
 holidays = ['2011-10-10', '2011-11-11', '2011-11-24',
 '2011-12-25', '2011-05-30', '2011-02-21',
 '2011-12-26', '2012-01-02']
 bdd = np.busdaycalendar(weekmask='1111100', holidays=holidays)
 assert_equal(
 np.busday_offset('2011-10-03', 4, holidays=holidays),
 np.busday_offset('2011-10-03', 4))
 assert_equal(
 np.busday_offset('2011-10-03', 5, holidays=holidays),
 np.busday_offset('2011-10-03', 5 + 1))
 assert_equal(
 np.busday_offset('2011-10-03', 27, holidays=holidays),
 np.busday_offset('2011-10-03', 27 + 1))
 assert_equal(
 np.busday_offset('2011-10-03', 28, holidays=holidays),
 np.busday_offset('2011-10-03', 28 + 2))
 assert_equal(
 np.busday_offset('2011-10-03', 35, holidays=holidays),
 np.busday_offset('2011-10-03', 35 + 2))
 assert_equal(
 np.busday_offset('2011-10-03', 36, holidays=holidays),
 np.busday_offset('2011-10-03', 36 + 3))
 assert_equal(
 np.busday_offset('2011-10-03', 56, holidays=holidays),
 np.busday_offset('2011-10-03', 56 + 3))
 assert_equal(
 np.busday_offset('2011-10-03', 57, holidays=holidays),
 np.busday_offset('2011-10-03', 57 + 4))
 assert_equal(
 np.busday_offset('2011-10-03', 60, holidays=holidays),
 np.busday_offset('2011-10-03', 60 + 4))
 assert_equal(
 np.busday_offset('2011-10-03', 61, holidays=holidays),
 np.busday_offset('2011-10-03', 61 + 5))
 assert_equal(
 np.busday_offset('2011-10-03', 61, busdaycal=bdd),
 np.busday_offset('2011-10-03', 61 + 5))
 # A bigger backward jump across more than one week/holiday
 assert_equal(
 np.busday_offset('2012-01-03', -1, holidays=holidays),
 np.busday_offset('2012-01-03', -1 - 1))
 assert_equal(
 np.busday_offset('2012-01-03', -4, holidays=holidays),
 np.busday_offset('2012-01-03', -4 - 1))
 assert_equal(
 np.busday_offset('2012-01-03', -5, holidays=holidays),
 np.busday_offset('2012-01-03', -5 - 2))
 assert_equal(
 np.busday_offset('2012-01-03', -25, holidays=holidays),
 np.busday_offset('2012-01-03', -25 - 2))
 assert_equal(
 np.busday_offset('2012-01-03', -26, holidays=holidays),
 np.busday_offset('2012-01-03', -26 - 3))
 assert_equal(
 np.busday_offset('2012-01-03', -33, holidays=holidays),
 np.busday_offset('2012-01-03', -33 - 3))
 assert_equal(
 np.busday_offset('2012-01-03', -34, holidays=holidays),
 np.busday_offset('2012-01-03', -34 - 4))
 assert_equal(
 np.busday_offset('2012-01-03', -56, holidays=holidays),
 np.busday_offset('2012-01-03', -56 - 4))
 assert_equal(
 np.busday_offset('2012-01-03', -57, holidays=holidays),
 np.busday_offset('2012-01-03', -57 - 5))
 assert_equal(
 np.busday_offset('2012-01-03', -57, busdaycal=bdd),
 np.busday_offset('2012-01-03', -57 - 5))
 
 # Can't supply both a weekmask/holidays and busdaycal
 assert_raises(ValueError, np.busday_offset, '2012-01-03', -15,
 weekmask='1111100', busdaycal=bdd)
 assert_raises(ValueError, np.busday_offset, '2012-01-03', -15,
 holidays=holidays, busdaycal=bdd)
 
 # Roll with the holidays
 assert_equal(
 np.busday_offset('2011-12-25', 0,
 roll='forward', holidays=holidays),
 np.datetime64('2011-12-27'))
 assert_equal(
 np.busday_offset('2011-12-26', 0,
 roll='forward', holidays=holidays),
 np.datetime64('2011-12-27'))
 assert_equal(
 np.busday_offset('2011-12-26', 0,
 roll='backward', holidays=holidays),
 np.datetime64('2011-12-23'))
 assert_equal(
 np.busday_offset('2012-02-27', 0,
 roll='modifiedfollowing',
 holidays=['2012-02-27', '2012-02-26', '2012-02-28',
 '2012-03-01', '2012-02-29']),
 np.datetime64('2012-02-24'))
 assert_equal(
 np.busday_offset('2012-03-06', 0,
 roll='modifiedpreceding',
 holidays=['2012-03-02', '2012-03-03', '2012-03-01',
 '2012-03-05', '2012-03-07', '2012-03-06']),
 np.datetime64('2012-03-08'))
 
 def test_datetime_busday_holidays_count(self):
 holidays = ['2011-01-01', '2011-10-10', '2011-11-11', '2011-11-24',
 '2011-12-25', '2011-05-30', '2011-02-21', '2011-01-17',
 '2011-12-26', '2012-01-02', '2011-02-21', '2011-05-30',
 '2011-07-01', '2011-07-04', '2011-09-05', '2011-10-10']
 bdd = np.busdaycalendar(weekmask='1111100', holidays=holidays)
 
 # Validate against busday_offset broadcast against
 # a range of offsets
 dates = np.busday_offset('2011-01-01', np.arange(366),
 roll='forward', busdaycal=bdd)
 assert_equal(np.busday_count('2011-01-01', dates, busdaycal=bdd),
 np.arange(366))
 # Returns negative value when reversed
 # -1 since the '2011-01-01' is not a busday
 assert_equal(np.busday_count(dates, '2011-01-01', busdaycal=bdd),
 -np.arange(366) - 1)
 
 # 2011-12-31 is a saturday
 dates = np.busday_offset('2011-12-31', -np.arange(366),
 roll='forward', busdaycal=bdd)
 # only the first generated date is in the future of 2011-12-31
 expected = np.arange(366)
 expected[0] = -1
 assert_equal(np.busday_count(dates, '2011-12-31', busdaycal=bdd),
 expected)
 # Returns negative value when reversed
 expected = -np.arange(366)+1
 expected[0] = 0
 assert_equal(np.busday_count('2011-12-31', dates, busdaycal=bdd),
 expected)
 
 # Can't supply both a weekmask/holidays and busdaycal
 assert_raises(ValueError, np.busday_offset, '2012-01-03', '2012-02-03',
 weekmask='1111100', busdaycal=bdd)
 assert_raises(ValueError, np.busday_offset, '2012-01-03', '2012-02-03',
 holidays=holidays, busdaycal=bdd)
 
 # Number of Mondays in March 2011
 assert_equal(np.busday_count('2011-03', '2011-04', weekmask='Mon'), 4)
 # Returns negative value when reversed
 assert_equal(np.busday_count('2011-04', '2011-03', weekmask='Mon'), -4)
 
 sunday = np.datetime64('2023-03-05')
 monday = sunday + 1
 friday = sunday + 5
 saturday = sunday + 6
 assert_equal(np.busday_count(sunday, monday), 0)
 assert_equal(np.busday_count(monday, sunday), -1)
 
 assert_equal(np.busday_count(friday, saturday), 1)
 assert_equal(np.busday_count(saturday, friday), 0)
 
 
 def test_datetime_is_busday(self):
 holidays = ['2011-01-01', '2011-10-10', '2011-11-11', '2011-11-24',
 '2011-12-25', '2011-05-30', '2011-02-21', '2011-01-17',
 '2011-12-26', '2012-01-02', '2011-02-21', '2011-05-30',
 '2011-07-01', '2011-07-04', '2011-09-05', '2011-10-10',
 'NaT']
 bdd = np.busdaycalendar(weekmask='1111100', holidays=holidays)
 
 # Weekend/weekday tests
 assert_equal(np.is_busday('2011-01-01'), False)
 assert_equal(np.is_busday('2011-01-02'), False)
 assert_equal(np.is_busday('2011-01-03'), True)
 
 # All the holidays are not business days
 assert_equal(np.is_busday(holidays, busdaycal=bdd),
 np.zeros(len(holidays), dtype='?'))
 
 def test_datetime_y2038(self):
 # Test parsing on either side of the Y2038 boundary
 a = np.datetime64('2038-01-19T03:14:07')
 assert_equal(a.view(np.int64), 2**31 - 1)
 a = np.datetime64('2038-01-19T03:14:08')
 assert_equal(a.view(np.int64), 2**31)
 
 # Test parsing on either side of the Y2038 boundary with
 # a manually specified timezone offset
 with assert_warns(DeprecationWarning):
 a = np.datetime64('2038-01-19T04:14:07+0100')
 assert_equal(a.view(np.int64), 2**31 - 1)
 with assert_warns(DeprecationWarning):
 a = np.datetime64('2038-01-19T04:14:08+0100')
 assert_equal(a.view(np.int64), 2**31)
 
 # Test parsing a date after Y2038
 a = np.datetime64('2038-01-20T13:21:14')
 assert_equal(str(a), '2038-01-20T13:21:14')
 
 def test_isnat(self):
 assert_(np.isnat(np.datetime64('NaT', 'ms')))
 assert_(np.isnat(np.datetime64('NaT', 'ns')))
 assert_(not np.isnat(np.datetime64('2038-01-19T03:14:07')))
 
 assert_(np.isnat(np.timedelta64('NaT', "ms")))
 assert_(not np.isnat(np.timedelta64(34, "ms")))
 
 res = np.array([False, False, True])
 for unit in ['Y', 'M', 'W', 'D',
 'h', 'm', 's', 'ms', 'us',
 'ns', 'ps', 'fs', 'as']:
 arr = np.array([123, -321, "NaT"], dtype='<datetime64[%s]' % unit)
 assert_equal(np.isnat(arr), res)
 arr = np.array([123, -321, "NaT"], dtype='>datetime64[%s]' % unit)
 assert_equal(np.isnat(arr), res)
 arr = np.array([123, -321, "NaT"], dtype='<timedelta64[%s]' % unit)
 assert_equal(np.isnat(arr), res)
 arr = np.array([123, -321, "NaT"], dtype='>timedelta64[%s]' % unit)
 assert_equal(np.isnat(arr), res)
 
 def test_isnat_error(self):
 # Test that only datetime dtype arrays are accepted
 for t in np.typecodes["All"]:
 if t in np.typecodes["Datetime"]:
 continue
 assert_raises(TypeError, np.isnat, np.zeros(10, t))
 
 def test_isfinite_scalar(self):
 assert_(not np.isfinite(np.datetime64('NaT', 'ms')))
 assert_(not np.isfinite(np.datetime64('NaT', 'ns')))
 assert_(np.isfinite(np.datetime64('2038-01-19T03:14:07')))
 
 assert_(not np.isfinite(np.timedelta64('NaT', "ms")))
 assert_(np.isfinite(np.timedelta64(34, "ms")))
 
 @pytest.mark.parametrize('unit', ['Y', 'M', 'W', 'D', 'h', 'm', 's', 'ms',
 'us', 'ns', 'ps', 'fs', 'as'])
 @pytest.mark.parametrize('dstr', ['<datetime64[%s]', '>datetime64[%s]',
 '<timedelta64[%s]', '>timedelta64[%s]'])
 def test_isfinite_isinf_isnan_units(self, unit, dstr):
 '''check isfinite, isinf, isnan for all units of <M, >M, <m, >m dtypes
 '''
 arr_val = [123, -321, "NaT"]
 arr = np.array(arr_val,  dtype= dstr % unit)
 pos = np.array([True, True,  False])
 neg = np.array([False, False,  True])
 false = np.array([False, False,  False])
 assert_equal(np.isfinite(arr), pos)
 assert_equal(np.isinf(arr), false)
 assert_equal(np.isnan(arr), neg)
 
 def test_assert_equal(self):
 assert_raises(AssertionError, assert_equal,
 np.datetime64('nat'), np.timedelta64('nat'))
 
 def test_corecursive_input(self):
 # construct a co-recursive list
 a, b = [], []
 a.append(b)
 b.append(a)
 obj_arr = np.array([None])
 obj_arr[0] = a
 
 # At some point this caused a stack overflow (gh-11154). Now raises
 # ValueError since the nested list cannot be converted to a datetime.
 assert_raises(ValueError, obj_arr.astype, 'M8')
 assert_raises(ValueError, obj_arr.astype, 'm8')
 
 @pytest.mark.parametrize("shape", [(), (1,)])
 def test_discovery_from_object_array(self, shape):
 arr = np.array("2020-10-10", dtype=object).reshape(shape)
 res = np.array("2020-10-10", dtype="M8").reshape(shape)
 assert res.dtype == np.dtype("M8[D]")
 assert_equal(arr.astype("M8"), res)
 arr[...] = np.bytes_("2020-10-10")  # try a numpy string type
 assert_equal(arr.astype("M8"), res)
 arr = arr.astype("S")
 assert_equal(arr.astype("S").astype("M8"), res)
 
 @pytest.mark.parametrize("time_unit", [
 "Y", "M", "W", "D", "h", "m", "s", "ms", "us", "ns", "ps", "fs", "as",
 # compound units
 "10D", "2M",
 ])
 def test_limit_symmetry(self, time_unit):
 """
 Dates should have symmetric limits around the unix epoch at +/-np.int64
 """
 epoch = np.datetime64(0, time_unit)
 latest = np.datetime64(np.iinfo(np.int64).max, time_unit)
 earliest = np.datetime64(-np.iinfo(np.int64).max, time_unit)
 
 # above should not have overflowed
 assert earliest < epoch < latest
 
 @pytest.mark.parametrize("time_unit", [
 "Y", "M",
 pytest.param("W", marks=pytest.mark.xfail(reason="gh-13197")),
 "D", "h", "m",
 "s", "ms", "us", "ns", "ps", "fs", "as",
 pytest.param("10D", marks=pytest.mark.xfail(reason="similar to gh-13197")),
 ])
 @pytest.mark.parametrize("sign", [-1, 1])
 def test_limit_str_roundtrip(self, time_unit, sign):
 """
 Limits should roundtrip when converted to strings.
 
 This tests the conversion to and from npy_datetimestruct.
 """
 # TODO: add absolute (gold standard) time span limit strings
 limit = np.datetime64(np.iinfo(np.int64).max * sign, time_unit)
 
 # Convert to string and back. Explicit unit needed since the day and
 # week reprs are not distinguishable.
 limit_via_str = np.datetime64(str(limit), time_unit)
 assert limit_via_str == limit
 
 
 class TestDateTimeData:
 
 def test_basic(self):
 a = np.array(['1980-03-23'], dtype=np.datetime64)
 assert_equal(np.datetime_data(a.dtype), ('D', 1))
 
 def test_bytes(self):
 # byte units are converted to unicode
 dt = np.datetime64('2000', (b'ms', 5))
 assert np.datetime_data(dt.dtype) == ('ms', 5)
 
 dt = np.datetime64('2000', b'5ms')
 assert np.datetime_data(dt.dtype) == ('ms', 5)
 
 def test_non_ascii(self):
 # μs is normalized to μ
 dt = np.datetime64('2000', ('μs', 5))
 assert np.datetime_data(dt.dtype) == ('us', 5)
 
 dt = np.datetime64('2000', '5μs')
 assert np.datetime_data(dt.dtype) == ('us', 5)
 
 
 def test_comparisons_return_not_implemented():
 # GH#17017
 
 class custom:
 __array_priority__ = 10000
 
 obj = custom()
 
 dt = np.datetime64('2000', 'ns')
 td = dt - dt
 
 for item in [dt, td]:
 assert item.__eq__(obj) is NotImplemented
 assert item.__ne__(obj) is NotImplemented
 assert item.__le__(obj) is NotImplemented
 assert item.__lt__(obj) is NotImplemented
 assert item.__ge__(obj) is NotImplemented
 assert item.__gt__(obj) is NotImplemented
 
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