def test_zero_sign():
y = sinpi(-0.0)
assert y == 0.0
assert np.signbit(y)
y = sinpi(0.0)
assert y == 0.0
assert not np.signbit(y)
y = cospi(0.5)
assert y == 0.0
assert not np.signbit(y)
def test_zero_sign():
y = sinpi(-0.0)
assert y == 0.0
assert np.signbit(y)
y = sinpi(0.0)
assert y == 0.0
assert not np.signbit(y)
y = cospi(0.5)
assert y == 0.0
assert not np.signbit(y)
def test_intermediate_overlow():
# Make sure we avoid overflow in situations where cosh/sinh would
# overflow but the product with sin/cos would not
sinpi_pts = [
complex(1 + 1e-14, 227),
complex(1e-35, 250),
complex(1e-301, 445)
]
# Data generated with mpmath
sinpi_std = [
complex(-8.113438309924894e+295, -np.inf),
complex(1.9507801934611995e+306, np.inf),
complex(2.205958493464539e+306, np.inf)
]
with suppress_warnings() as sup:
sup.filter(RuntimeWarning, "invalid value encountered in multiply")
for p, std in zip(sinpi_pts, sinpi_std):
assert_allclose(sinpi(p), std)
# Test for cosine, less interesting because cos(0) = 1.
p = complex(0.5 + 1e-14, 227)
std = complex(-8.113438309924894e+295, -np.inf)
with suppress_warnings() as sup:
sup.filter(RuntimeWarning, "invalid value encountered in multiply")
assert_allclose(cospi(p), std)
def test_half_integer_real_part():
x = np.arange(-100, 101) + 0.5
y = np.hstack((-np.linspace(310, -30, 10), np.linspace(-30, 310, 10)))
x, y = np.meshgrid(x, y)
z = x + 1j * y
# In the following we should be *exactly* right
res = sinpi(z)
assert_equal(res.imag, 0.0)
res = cospi(z)
assert_equal(res.real, 0.0)
def test_half_integer_real_part():
x = np.arange(-100, 101) + 0.5
y = np.hstack((-np.linspace(310, -30, 10), np.linspace(-30, 310, 10)))
x, y = np.meshgrid(x, y)
z = x + 1j*y
# In the following we should be *exactly* right
res = sinpi(z)
assert_equal(res.imag, 0.0)
res = cospi(z)
assert_equal(res.real, 0.0)
def test_intermediate_overlow():
# Make sure we avoid overflow in situations where cosh/sinh would
# overflow but the product with sin/cos would not
sinpi_pts = [complex(1 + 1e-14, 227),
complex(1e-35, 250),
complex(1e-301, 445)]
# Data generated with mpmath
sinpi_std = [complex(-8.113438309924894e+295, -np.inf),
complex(1.9507801934611995e+306, np.inf),
complex(2.205958493464539e+306, np.inf)]
for p, std in zip(sinpi_pts, sinpi_std):
assert_allclose(sinpi(p), std)
# Test for cosine, less interesting because cos(0) = 1.
p = complex(0.5 + 1e-14, 227)
std = complex(-8.113438309924894e+295, -np.inf)
assert_allclose(cospi(p), std)
