def test_spherical_cartesian():
theta, phi = erfa.c2s([0.0, np.sqrt(2.0), np.sqrt(2.0)])
np.testing.assert_allclose(theta, np.pi/2.0)
np.testing.assert_allclose(phi, np.pi/4.0)
theta, phi, r = erfa.p2s([0.0, np.sqrt(2.0), np.sqrt(2.0)])
np.testing.assert_allclose(theta, np.pi/2.0)
np.testing.assert_allclose(phi, np.pi/4.0)
np.testing.assert_allclose(r, 2.0)
pv = np.array(([0.0, np.sqrt(2.0), np.sqrt(2.0)], [1.0, 0.0, 0.0]),
dtype=erfa.dt_pv)
theta, phi, r, td, pd, rd = erfa.pv2s(pv)
np.testing.assert_allclose(theta, np.pi/2.0)
np.testing.assert_allclose(phi, np.pi/4.0)
np.testing.assert_allclose(r, 2.0)
np.testing.assert_allclose(td, -np.sqrt(2.0)/2.0)
np.testing.assert_allclose(pd, 0.0)
np.testing.assert_allclose(rd, 0.0)
c = erfa.s2c(np.pi/2.0, np.pi/4.0)
np.testing.assert_allclose(c, [0.0, np.sqrt(2.0)/2.0, np.sqrt(2.0)/2.0], atol=1e-14)
c = erfa.s2p(np.pi/2.0, np.pi/4.0, 1.0)
np.testing.assert_allclose(c, [0.0, np.sqrt(2.0)/2.0, np.sqrt(2.0)/2.0], atol=1e-14)
pv = erfa.s2pv(np.pi/2.0, np.pi/4.0, 2.0, np.sqrt(2.0)/2.0, 0.0, 0.0)
np.testing.assert_allclose(pv['p'], [0.0, np.sqrt(2.0), np.sqrt(2.0)], atol=1e-14)
np.testing.assert_allclose(pv['v'], [-1.0, 0.0, 0.0], atol=1e-14)
def test_float32_input():
# Regression test for gh-8615
xyz = np.array([[1, 0, 0], [0.9, 0.1, 0]])
out64 = erfa.p2s(xyz)
out32 = erfa.p2s(xyz.astype('f4'))
np.testing.assert_allclose(out32, out64, rtol=1.e-5)