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import pytest
import numpy as np
from numpy.testing import assert_equal, assert_allclose, suppress_warnings
from scipy.special._ufuncs import _sinpi as sinpi
from scipy.special._ufuncs import _cospi as cospi
def test_integer_real_part():
x = np.arange(-100, 101)
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.real, 0.0)
res = cospi(z)
assert_equal(res.imag, 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)
@pytest.mark.skip("Temporary skip while gh-19526 is being resolved")
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):
res = sinpi(p)
assert_allclose(res.real, std.real)
assert_allclose(res.imag, std.imag)
# 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")
res = cospi(p)
assert_allclose(res.real, std.real)
assert_allclose(res.imag, std.imag)
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)
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