# Python numpy.clongdouble() 使用实例

The following are code examples for showing how to use . They are extracted from open source Python projects. You can vote up the examples you like or vote down the exmaples you don’t like. You can also save this page to your account.

Example 1

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 2

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 3

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 4

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 5

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 6

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 7

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 8

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 9

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 10

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 11

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 12

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 13

```def test_complex_inf_nan():
"""Check inf/nan formatting of complex types."""
TESTS = {
complex(np.inf, 0): "(inf+0j)",
complex(0, np.inf): "inf*j",
complex(-np.inf, 0): "(-inf+0j)",
complex(0, -np.inf): "-inf*j",
complex(np.inf, 1): "(inf+1j)",
complex(1, np.inf): "(1+inf*j)",
complex(-np.inf, 1): "(-inf+1j)",
complex(1, -np.inf): "(1-inf*j)",
complex(np.nan, 0): "(nan+0j)",
complex(0, np.nan): "nan*j",
complex(-np.nan, 0): "(nan+0j)",
complex(0, -np.nan): "nan*j",
complex(np.nan, 1): "(nan+1j)",
complex(1, np.nan): "(1+nan*j)",
complex(-np.nan, 1): "(nan+1j)",
complex(1, -np.nan): "(1+nan*j)",
}
for tp in [np.complex64, np.cdouble, np.clongdouble]:
for c, s in TESTS.items():
yield _check_complex_inf_nan, c, s, tp ```

Example 14

```def test_sum_complex(self):
for dt in (np.complex64, np.complex128, np.clongdouble):
for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127,
128, 1024, 1235):
tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j)
d = np.empty(v, dtype=dt)
d.real = np.arange(1, v + 1)
d.imag = -np.arange(1, v + 1)
assert_almost_equal(np.sum(d), tgt)
assert_almost_equal(np.sum(d[::-1]), tgt)

d = np.ones(500, dtype=dt) + 1j
assert_almost_equal(np.sum(d[::2]), 250. + 250j)
assert_almost_equal(np.sum(d[1::2]), 250. + 250j)
assert_almost_equal(np.sum(d[::3]), 167. + 167j)
assert_almost_equal(np.sum(d[1::3]), 167. + 167j)
assert_almost_equal(np.sum(d[::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j)
assert_almost_equal(np.sum(d[::-3]), 167. + 167j)
assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j)
# sum with first reduction entry != 0
d = np.ones((1,), dtype=dt) + 1j
d += d
assert_almost_equal(d, 2. + 2j) ```

Example 15

```def test_complex_scalar_warning(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_warns(np.ComplexWarning, float, x)
with warnings.catch_warnings():
warnings.simplefilter('ignore')
assert_equal(float(x), float(x.real)) ```

Example 16

```def test_complex_scalar_complex_cast(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_equal(complex(x), 1+2j) ```

Example 17

```def test_complex_boolean_cast(self):
# Ticket #2218
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = np.array([0, 0+0.5j, 0.5+0j], dtype=tp)
assert_equal(x.astype(bool), np.array([0, 1, 1], dtype=bool))
assert_(np.any(x))
assert_(np.all(x[1:])) ```

Example 18

```def test_precisions_consistent(self):
z = 1 + 1j
for f in self.funcs:
fcf = f(np.csingle(z))
fcd = f(np.cdouble(z))
fcl = f(np.clongdouble(z))
assert_almost_equal(fcf, fcd, decimal=6, err_msg='fch-fcd %s' % f)
assert_almost_equal(fcl, fcd, decimal=15, err_msg='fch-fcl %s' % f) ```

Example 19

```def test_complex_type_print():
"""Check formatting when using print """
for t in [np.complex64, np.cdouble, np.clongdouble]:
yield check_complex_type_print, t ```

Example 20

```def test_scalar_format():
"""Test the str.format method with NumPy scalar types"""
tests = [('{0}', True, np.bool_),
('{0}', False, np.bool_),
('{0:d}', 130, np.uint8),
('{0:d}', 50000, np.uint16),
('{0:d}', 3000000000, np.uint32),
('{0:d}', 15000000000000000000, np.uint64),
('{0:d}', -120, np.int8),
('{0:d}', -30000, np.int16),
('{0:d}', -2000000000, np.int32),
('{0:d}', -7000000000000000000, np.int64),
('{0:g}', 1.5, np.float16),
('{0:g}', 1.5, np.float32),
('{0:g}', 1.5, np.float64),
('{0:g}', 1.5, np.longdouble)]
# Python 2.6 doesn't implement complex.__format__
if sys.version_info[:2] > (2, 6):
tests += [('{0:g}', 1.5+0.5j, np.complex64),
('{0:g}', 1.5+0.5j, np.complex128),
('{0:g}', 1.5+0.5j, np.clongdouble)]

for (fmat, val, valtype) in tests:
try:
assert_equal(fmat.format(val), fmat.format(valtype(val)),
"failed with val %s, type %s" % (val, valtype))
except ValueError as e:
assert_(False,
"format raised exception (fmt='%s', val=%s, type=%s, exc='%s')" %
(fmat, repr(val), repr(valtype), str(e)))

# Locale tests: scalar types formatting should be independent of the locale ```

Example 21

```def test_export_record(self):
dt = [('a', 'b'),
('b', 'h'),
('c', 'i'),
('d', 'l'),
('dx', 'q'),
('e', 'B'),
('f', 'H'),
('g', 'I'),
('h', 'L'),
('hx', 'Q'),
('i', np.single),
('j', np.double),
('k', np.longdouble),
('ix', np.csingle),
('jx', np.cdouble),
('kx', np.clongdouble),
('l', 'S4'),
('m', 'U4'),
('n', 'V3'),
('o', '?'),
('p', np.half),
]
x = np.array(
[(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
asbytes('aaaa'), 'bbbb', asbytes('   '), True, 1.0)],
dtype=dt)
y = memoryview(x)
assert_equal(y.shape, (1,))
assert_equal(y.ndim, 1)
assert_equal(y.suboffsets, EMPTY)

sz = sum([np.dtype(b).itemsize for a, b in dt])
if np.dtype('l').itemsize == 4:
assert_equal(y.format, 'T{b:a:=h:b:i:c:l:d:q:dx:B:e:@H:f:=I:g:L:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
else:
assert_equal(y.format, 'T{b:a:=h:b:i:c:q:d:q:dx:B:e:@H:f:=I:g:Q:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
# Cannot test if NPY_RELAXED_STRIDES_CHECKING changes the strides
if not (np.ones(1).strides[0] == np.iinfo(np.intp).max):
assert_equal(y.strides, (sz,))
assert_equal(y.itemsize, sz) ```

Example 22

```def test_einsum_sums_clongdouble(self):
self.check_einsum_sums(np.clongdouble) ```

Example 23

```def test_longdouble_int(self):
# gh-627
x = np.longdouble(np.inf)
assert_raises(OverflowError, x.__int__)
x = np.clongdouble(np.inf)
assert_raises(OverflowError, x.__int__) ```

Example 24

```def test_complex_high_ord(self):
# gh-4156
d = np.empty((2,), dtype=np.clongdouble)
d[0] = 6 + 7j
d[1] = -6 + 7j
res = 11.615898132184
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=10)
d = d.astype(np.complex128)
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=9)
d = d.astype(np.complex64)
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=5) ```

Example 25

```def test_complex_scalar_warning(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_warns(np.ComplexWarning, float, x)
with warnings.catch_warnings():
warnings.simplefilter('ignore')
assert_equal(float(x), float(x.real)) ```

Example 26

```def test_complex_scalar_complex_cast(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_equal(complex(x), 1+2j) ```

Example 27

```def test_complex_boolean_cast(self):
# Ticket #2218
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = np.array([0, 0+0.5j, 0.5+0j], dtype=tp)
assert_equal(x.astype(bool), np.array([0, 1, 1], dtype=bool))
assert_(np.any(x))
assert_(np.all(x[1:])) ```

Example 28

```def test_precisions_consistent(self):
z = 1 + 1j
for f in self.funcs:
fcf = f(np.csingle(z))
fcd = f(np.cdouble(z))
fcl = f(np.clongdouble(z))
assert_almost_equal(fcf, fcd, decimal=6, err_msg='fch-fcd %s' % f)
assert_almost_equal(fcl, fcd, decimal=15, err_msg='fch-fcl %s' % f) ```

Example 29

```def test_complex_type_print():
"""Check formatting when using print """
for t in [np.complex64, np.cdouble, np.clongdouble]:
yield check_complex_type_print, t ```

Example 30

```def test_scalar_format():
"""Test the str.format method with NumPy scalar types"""
tests = [('{0}', True, np.bool_),
('{0}', False, np.bool_),
('{0:d}', 130, np.uint8),
('{0:d}', 50000, np.uint16),
('{0:d}', 3000000000, np.uint32),
('{0:d}', 15000000000000000000, np.uint64),
('{0:d}', -120, np.int8),
('{0:d}', -30000, np.int16),
('{0:d}', -2000000000, np.int32),
('{0:d}', -7000000000000000000, np.int64),
('{0:g}', 1.5, np.float16),
('{0:g}', 1.5, np.float32),
('{0:g}', 1.5, np.float64),
('{0:g}', 1.5, np.longdouble)]
# Python 2.6 doesn't implement complex.__format__
if sys.version_info[:2] > (2, 6):
tests += [('{0:g}', 1.5+0.5j, np.complex64),
('{0:g}', 1.5+0.5j, np.complex128),
('{0:g}', 1.5+0.5j, np.clongdouble)]

for (fmat, val, valtype) in tests:
try:
assert_equal(fmat.format(val), fmat.format(valtype(val)),
"failed with val %s, type %s" % (val, valtype))
except ValueError as e:
assert_(False,
"format raised exception (fmt='%s', val=%s, type=%s, exc='%s')" %
(fmat, repr(val), repr(valtype), str(e)))

# Locale tests: scalar types formatting should be independent of the locale ```

Example 31

```def test_export_record(self):
dt = [('a', 'b'),
('b', 'h'),
('c', 'i'),
('d', 'l'),
('dx', 'q'),
('e', 'B'),
('f', 'H'),
('g', 'I'),
('h', 'L'),
('hx', 'Q'),
('i', np.single),
('j', np.double),
('k', np.longdouble),
('ix', np.csingle),
('jx', np.cdouble),
('kx', np.clongdouble),
('l', 'S4'),
('m', 'U4'),
('n', 'V3'),
('o', '?'),
('p', np.half),
]
x = np.array(
[(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
asbytes('aaaa'), 'bbbb', asbytes('   '), True, 1.0)],
dtype=dt)
y = memoryview(x)
assert_equal(y.shape, (1,))
assert_equal(y.ndim, 1)
assert_equal(y.suboffsets, EMPTY)

sz = sum([np.dtype(b).itemsize for a, b in dt])
if np.dtype('l').itemsize == 4:
assert_equal(y.format, 'T{b:a:=h:b:i:c:l:d:q:dx:B:e:@H:f:=I:g:L:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
else:
assert_equal(y.format, 'T{b:a:=h:b:i:c:q:d:q:dx:B:e:@H:f:=I:g:Q:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
# Cannot test if NPY_RELAXED_STRIDES_CHECKING changes the strides
if not (np.ones(1).strides[0] == np.iinfo(np.intp).max):
assert_equal(y.strides, (sz,))
assert_equal(y.itemsize, sz) ```

Example 32

```def test_einsum_sums_clongdouble(self):
self.check_einsum_sums(np.clongdouble) ```

Example 33

```def test_longdouble_int(self):
# gh-627
x = np.longdouble(np.inf)
assert_raises(OverflowError, x.__int__)
x = np.clongdouble(np.inf)
assert_raises(OverflowError, x.__int__) ```

Example 34

```def test_complex_high_ord(self):
# gh-4156
d = np.empty((2,), dtype=np.clongdouble)
d[0] = 6 + 7j
d[1] = -6 + 7j
res = 11.615898132184
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=10)
d = d.astype(np.complex128)
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=9)
d = d.astype(np.complex64)
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=5) ```

Example 35

```def testFloats(self):
f = numpy.float32
c = numpy.complex64
self.assertEquivalent(dtype_mod.accept_float32(f(numpy.pi)), numpy.dtype(f))
self.assertEquivalent(dtype_mod.accept_complex64(c(1+2j)), numpy.dtype(c))
f = numpy.float64
c = numpy.complex128
self.assertEquivalent(dtype_mod.accept_float64(f(numpy.pi)), numpy.dtype(f))
self.assertEquivalent(dtype_mod.accept_complex128(c(1+2j)), numpy.dtype(c))
if hasattr(numpy, "longdouble"):
f = numpy.longdouble
c = numpy.clongdouble
self.assertEquivalent(dtype_mod.accept_longdouble(f(numpy.pi)), numpy.dtype(f))
self.assertEquivalent(dtype_mod.accept_clongdouble(c(1+2j)), numpy.dtype(c)) ```

Example 36

```def testFloats(self):
f = numpy.float32
c = numpy.complex64
self.assertEquivalent(dtype_mod.accept_float32(f(numpy.pi)), numpy.dtype(f))
self.assertEquivalent(dtype_mod.accept_complex64(c(1+2j)), numpy.dtype(c))
f = numpy.float64
c = numpy.complex128
self.assertEquivalent(dtype_mod.accept_float64(f(numpy.pi)), numpy.dtype(f))
self.assertEquivalent(dtype_mod.accept_complex128(c(1+2j)), numpy.dtype(c))
if hasattr(numpy, "longdouble"):
f = numpy.longdouble
c = numpy.clongdouble
self.assertEquivalent(dtype_mod.accept_longdouble(f(numpy.pi)), numpy.dtype(f))
self.assertEquivalent(dtype_mod.accept_clongdouble(c(1+2j)), numpy.dtype(c)) ```

Example 37

```def test_complex_scalar_warning(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_warns(np.ComplexWarning, float, x)
with warnings.catch_warnings():
warnings.simplefilter('ignore')
assert_equal(float(x), float(x.real)) ```

Example 38

```def test_complex_scalar_complex_cast(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_equal(complex(x), 1+2j) ```

Example 39

```def test_complex_boolean_cast(self):
# Ticket #2218
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = np.array([0, 0+0.5j, 0.5+0j], dtype=tp)
assert_equal(x.astype(bool), np.array([0, 1, 1], dtype=bool))
assert_(np.any(x))
assert_(np.all(x[1:])) ```

Example 40

```def test_precisions_consistent(self):
z = 1 + 1j
for f in self.funcs:
fcf = f(np.csingle(z))
fcd = f(np.cdouble(z))
fcl = f(np.clongdouble(z))
assert_almost_equal(fcf, fcd, decimal=6, err_msg='fch-fcd %s' % f)
assert_almost_equal(fcl, fcd, decimal=15, err_msg='fch-fcl %s' % f) ```

Example 41

```def test_complex_type_print():
"""Check formatting when using print """
for t in [np.complex64, np.cdouble, np.clongdouble]:
yield check_complex_type_print, t ```

Example 42

```def test_scalar_format():
"""Test the str.format method with NumPy scalar types"""
tests = [('{0}', True, np.bool_),
('{0}', False, np.bool_),
('{0:d}', 130, np.uint8),
('{0:d}', 50000, np.uint16),
('{0:d}', 3000000000, np.uint32),
('{0:d}', 15000000000000000000, np.uint64),
('{0:d}', -120, np.int8),
('{0:d}', -30000, np.int16),
('{0:d}', -2000000000, np.int32),
('{0:d}', -7000000000000000000, np.int64),
('{0:g}', 1.5, np.float16),
('{0:g}', 1.5, np.float32),
('{0:g}', 1.5, np.float64),
('{0:g}', 1.5, np.longdouble)]
# Python 2.6 doesn't implement complex.__format__
if sys.version_info[:2] > (2, 6):
tests += [('{0:g}', 1.5+0.5j, np.complex64),
('{0:g}', 1.5+0.5j, np.complex128),
('{0:g}', 1.5+0.5j, np.clongdouble)]

for (fmat, val, valtype) in tests:
try:
assert_equal(fmat.format(val), fmat.format(valtype(val)),
"failed with val %s, type %s" % (val, valtype))
except ValueError as e:
assert_(False,
"format raised exception (fmt='%s', val=%s, type=%s, exc='%s')" %
(fmat, repr(val), repr(valtype), str(e)))

# Locale tests: scalar types formatting should be independent of the locale ```

Example 43

```def test_export_record(self):
dt = [('a', 'b'),
('b', 'h'),
('c', 'i'),
('d', 'l'),
('dx', 'q'),
('e', 'B'),
('f', 'H'),
('g', 'I'),
('h', 'L'),
('hx', 'Q'),
('i', np.single),
('j', np.double),
('k', np.longdouble),
('ix', np.csingle),
('jx', np.cdouble),
('kx', np.clongdouble),
('l', 'S4'),
('m', 'U4'),
('n', 'V3'),
('o', '?'),
('p', np.half),
]
x = np.array(
[(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
asbytes('aaaa'), 'bbbb', asbytes('   '), True, 1.0)],
dtype=dt)
y = memoryview(x)
assert_equal(y.shape, (1,))
assert_equal(y.ndim, 1)
assert_equal(y.suboffsets, EMPTY)

sz = sum([np.dtype(b).itemsize for a, b in dt])
if np.dtype('l').itemsize == 4:
assert_equal(y.format, 'T{b:a:=h:b:i:c:l:d:q:dx:B:e:@H:f:=I:g:L:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
else:
assert_equal(y.format, 'T{b:a:=h:b:i:c:q:d:q:dx:B:e:@H:f:=I:g:Q:h:Q:hx:f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
# Cannot test if NPY_RELAXED_STRIDES_CHECKING changes the strides
if not (np.ones(1).strides[0] == np.iinfo(np.intp).max):
assert_equal(y.strides, (sz,))
assert_equal(y.itemsize, sz) ```

Example 44

```def test_einsum_sums_clongdouble(self):
self.check_einsum_sums(np.clongdouble) ```

Example 45

```def test_longdouble_int(self):
# gh-627
x = np.longdouble(np.inf)
assert_raises(OverflowError, x.__int__)
x = np.clongdouble(np.inf)
assert_raises(OverflowError, x.__int__) ```

Example 46

```def test_complex_high_ord(self):
# gh-4156
d = np.empty((2,), dtype=np.clongdouble)
d[0] = 6 + 7j
d[1] = -6 + 7j
res = 11.615898132184
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=10)
d = d.astype(np.complex128)
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=9)
d = d.astype(np.complex64)
old_assert_almost_equal(np.linalg.norm(d, ord=3), res, decimal=5) ```

Example 47

```def test_complex_scalar_warning(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_warns(np.ComplexWarning, float, x)
with warnings.catch_warnings():
warnings.simplefilter('ignore')
assert_equal(float(x), float(x.real)) ```

Example 48

```def test_complex_scalar_complex_cast(self):
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = tp(1+2j)
assert_equal(complex(x), 1+2j) ```

Example 49

```def test_complex_boolean_cast(self):
# Ticket #2218
for tp in [np.csingle, np.cdouble, np.clongdouble]:
x = np.array([0, 0+0.5j, 0.5+0j], dtype=tp)
assert_equal(x.astype(bool), np.array([0, 1, 1], dtype=bool))
assert_(np.any(x))
assert_(np.all(x[1:])) ```

Example 50

```def test_precisions_consistent(self):
z = 1 + 1j
for f in self.funcs:
fcf = f(np.csingle(z))
fcd = f(np.cdouble(z))
fcl = f(np.clongdouble(z))
assert_almost_equal(fcf, fcd, decimal=6, err_msg='fch-fcd %s' % f)
assert_almost_equal(fcl, fcd, decimal=15, err_msg='fch-fcl %s' % f) ```