def test_eval_multiple(W):
u = Function(W)
u.vector.set(1.0)
mesh = W.mesh
x0 = (mesh.geometry.x(0) + mesh.geometry.x(1)) / 2.0
x = np.array([x0, x0 + 1.0e8])
tree = geometry.BoundingBoxTree(mesh, W.mesh.geometry.dim)
cells = geometry.compute_first_entity_collision(tree, mesh, x)
u.eval(x[0], cells[0])
def xtest_near_evaluations(R, mesh):
# Test that we allow point evaluation that are slightly outside
bb_tree = cpp.geometry.BoundingBoxTree(mesh, mesh.geometry.dim)
u0 = Function(R)
u0.vector.set(1.0)
a = mesh.geometry.x(0)
offset = 0.99 * np.finfo(float).eps
a_shift_x = np.array([a[0] - offset, a[1], a[2]])
assert u0.eval(a, bb_tree)[0] == pytest.approx(
u0.eval(a_shift_x, bb_tree)[0])
a_shift_xyz = np.array([
a[0] - offset / math.sqrt(3), a[1] - offset / math.sqrt(3),
a[2] - offset / math.sqrt(3)
])
assert u0.eval(a, bb_tree)[0] == pytest.approx(
u0.eval(a_shift_xyz, bb_tree)[0])
def test_eval(R, V, W, Q, mesh):
u0 = Function(R)
u1 = Function(V)
u2 = Function(W)
u3 = Function(Q)
def e1(x):
return x[:, 0] + x[:, 1] + x[:, 2]
def e2(x):
values = np.empty((x.shape[0], 3))
values[:, 0] = x[:, 0] + x[:, 1] + x[:, 2]
values[:, 1] = x[:, 0] - x[:, 1] - x[:, 2]
values[:, 2] = x[:, 0] + x[:, 1] + x[:, 2]
return values
def e3(x):
values = np.empty((x.shape[0], 9))
values[:, 0] = x[:, 0] + x[:, 1] + x[:, 2]
values[:, 1] = x[:, 0] - x[:, 1] - x[:, 2]
values[:, 2] = x[:, 0] + x[:, 1] + x[:, 2]
values[:, 3] = x[:, 0]
values[:, 4] = x[:, 1]
values[:, 5] = x[:, 2]
values[:, 6] = -x[:, 0]
values[:, 7] = -x[:, 1]
values[:, 8] = -x[:, 2]
return values
u0.vector.set(1.0)
u1.interpolate(e1)
u2.interpolate(e2)
u3.interpolate(e3)
x0 = (mesh.geometry.x(0) + mesh.geometry.x(1)) / 2.0
tree = geometry.BoundingBoxTree(mesh, mesh.geometry.dim)
cells = geometry.compute_first_entity_collision(tree, mesh, x0)
assert np.allclose(u3.eval(x0, cells)[:3],
u2.eval(x0, cells),
rtol=1e-15,
atol=1e-15)
with pytest.raises(ValueError):
u0.eval([0, 0, 0, 0], 0)
with pytest.raises(ValueError):
u0.eval([0, 0], 0)