def test_higher_order_coordinate_map(points, celltype):
"""
Computes physical coordinates of a cell, based on the coordinate map.
"""
cells = np.array([range(len(points))])
mesh = Mesh(MPI.comm_world, celltype, points, cells, [], GhostMode.none)
V = FunctionSpace(mesh, ("Lagrange", mesh.degree()))
X = V.element.dof_reference_coordinates()
coord_dofs = mesh.coordinate_dofs().entity_points()
x_g = mesh.geometry.points
cmap = fem.create_coordinate_map(mesh.ufl_domain())
x_coord_new = np.zeros([len(points), mesh.geometry.dim])
i = 0
for node in range(len(points)):
x_coord_new[i] = x_g[coord_dofs[0, node], :mesh.geometry.dim]
i += 1
x = np.zeros(X.shape)
cmap.push_forward(x, X, x_coord_new)
assert (np.allclose(x[:, 0], X[:, 0]))
assert (np.allclose(x[:, 1], 2 * X[:, 1]))
if mesh.geometry.dim == 3:
assert (np.allclose(x[:, 2], 3 * X[:, 2]))
def test_higher_order_tetra_coordinate_map(order):
"""
Computes physical coordinates of a cell, based on the coordinate map.
"""
celltype = CellType.tetrahedron
points = np.array([[0, 0, 0], [1, 0, 0], [0, 2, 0], [0, 0, 3],
[0, 4 / 3, 1], [0, 2 / 3, 2], [2 / 3, 0, 1],
[1 / 3, 0, 2], [2 / 3, 2 / 3, 0], [1 / 3, 4 / 3, 0],
[0, 0, 1], [0, 0, 2], [0, 2 / 3, 0], [0, 4 / 3, 0],
[1 / 3, 0, 0], [2 / 3, 0, 0], [1 / 3, 2 / 3, 1],
[0, 2 / 3, 1], [1 / 3, 0, 1], [1 / 3, 2 / 3, 0]])
if order == 1:
points = np.array(
[points[0, :], points[1, :], points[2, :], points[3, :]])
elif order == 2:
points = np.array([
points[0, :], points[1, :], points[2, :], points[3, :],
[0, 1, 3 / 2], [1 / 2, 0, 3 / 2], [1 / 2, 1, 0], [0, 0, 3 / 2],
[0, 1, 0], [1 / 2, 0, 0]
])
cells = np.array([range(len(points))])
mesh = Mesh(MPI.comm_world, celltype, points, cells, [], GhostMode.none)
V = FunctionSpace(mesh, ("Lagrange", order))
X = V.element.dof_reference_coordinates()
coord_dofs = mesh.coordinate_dofs().entity_points()
x_g = mesh.geometry.points
cmap = fem.create_coordinate_map(mesh.ufl_domain())
x_coord_new = np.zeros([len(points), mesh.geometry.dim])
i = 0
for node in range(len(points)):
x_coord_new[i] = x_g[coord_dofs[0, node], :mesh.geometry.dim]
i += 1
x = np.zeros(X.shape)
cmap.push_forward(x, X, x_coord_new)
assert (np.allclose(x[:, 0], X[:, 0]))
assert (np.allclose(x[:, 1], 2 * X[:, 1]))
assert (np.allclose(x[:, 2], 3 * X[:, 2]))