def test_spherical_annulus():
"""test simple spherical grid with a hole"""
grid = SphericalSymGrid((2, 4), 8)
assert grid.dim == 3
assert grid.numba_type == "f8[:]"
assert grid.shape == (8,)
assert grid.has_hole
assert grid.discretization[0] == pytest.approx(0.25)
assert not grid.uniform_cell_volumes
np.testing.assert_array_equal(grid.discretization, np.array([0.25]))
assert grid.volume == pytest.approx(4 / 3 * np.pi * (4**3 - 2**3))
assert grid.volume == pytest.approx(grid.integrate(1))
assert grid.radius == (2, 4)
np.testing.assert_allclose(grid.axes_coords[0], np.linspace(2.125, 3.875, 8))
a = grid.make_operator("laplace", "auto_periodic_neumann")(np.random.random(8))
assert a.shape == (8,)
assert np.all(np.isfinite(a))
assert grid.contains_point(grid.get_random_point(coords="cartesian"))
p = grid.get_random_point(boundary_distance=1.99, coords="cartesian")
assert grid.contains_point(p)
# test boundary points
np.testing.assert_equal(grid._boundary_coordinates(0, False), np.array([2]))
np.testing.assert_equal(grid._boundary_coordinates(0, True), np.array([4]))
def test_spherical_grid():
"""test simple spherical grid"""
grid = SphericalSymGrid(4, 8)
assert grid.dim == 3
assert grid.numba_type == "f8[:]"
assert grid.shape == (8, )
assert not grid.has_hole
assert grid.discretization[0] == pytest.approx(0.5)
assert not grid.uniform_cell_volumes
np.testing.assert_array_equal(grid.discretization, np.array([0.5]))
assert grid.volume == pytest.approx(4 / 3 * np.pi * 4**3)
assert grid.volume == pytest.approx(grid.integrate(1))
np.testing.assert_allclose(grid.axes_coords[0], np.linspace(0.25, 3.75, 8))
a = grid.make_operator("laplace",
"auto_periodic_neumann")(np.random.random(8))
assert a.shape == (8, )
assert np.all(np.isfinite(a))
# random points
c = np.random.randint(8, size=(6, 1))
p = grid.cell_to_point(c)
np.testing.assert_array_equal(c, grid.point_to_cell(p))
assert grid.contains_point(grid.get_random_point())
assert grid.contains_point(grid.get_random_point(3.99))
assert "laplace" in grid.operators