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"""Unit tests for the fem interface"""
# Copyright (C) 2009 Garth N. Wells
#
# This file is part of DOLFIN.
#
# DOLFIN is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# DOLFIN is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.
#
# First added: 2009-07-28
# Last changed: 2009-07-28
import pytest
import numpy
from dolfin import *
from dolfin_utils.test import fixture
xfail = pytest.mark.xfail(strict=True)
@pytest.mark.parametrize('mesh_factory', [(UnitSquareMesh, (4, 4)),
(UnitCubeMesh, (2, 2, 2)),
(UnitSquareMesh.create, (4, 4, CellType.Type.quadrilateral)),
# cell_normal has not been implemented for hex cell
# cell.orientation() does not work
pytest.param(((UnitCubeMesh.create, (2, 2, 2, CellType.Type.hexahedron))), marks=xfail)])
def test_evaluate_dofs(mesh_factory):
func, args = mesh_factory
mesh = func(*args)
v = FiniteElement("Lagrange", mesh.ufl_cell(), 1)
q = VectorElement("Lagrange", mesh.ufl_cell(), 1)
w = v*q
V = FunctionSpace(mesh, v)
W = FunctionSpace(mesh, w)
sdim = V.element().space_dimension()
gdim = V.element().geometric_dimension()
e = Expression("x[0] + x[1]", degree=1)
e2 = Expression(["x[0] + x[1]"]*gdim, degree=1)
coords = numpy.zeros((sdim, gdim), dtype="d")
coord = numpy.zeros(gdim, dtype="d")
values0 = numpy.zeros(sdim, dtype="d")
values1 = numpy.zeros(sdim, dtype="d")
values2 = numpy.zeros(sdim, dtype="d")
values3 = numpy.zeros(sdim, dtype="d")
values4 = numpy.zeros(gdim*sdim, dtype="d")
L0 = W.sub(0)
L1 = W.sub(1)
L01 = L1.sub(0)
L11 = L1.sub(1)
for cell in cells(mesh):
vx = cell.get_vertex_coordinates()
orientation = cell.orientation()
coords = V.element().tabulate_dof_coordinates(cell)
for i in range(coords.shape[0]):
coord[:] = coords[i, :]
values0[i] = e(*coord)
values1 = L0.element().evaluate_dofs(e, vx, orientation, cell)
values2 = L01.element().evaluate_dofs(e, vx, orientation, cell)
values3 = L11.element().evaluate_dofs(e, vx, orientation, cell)
values4 = L1.element().evaluate_dofs(e2, vx, orientation, cell)
for i in range(sdim):
assert round(values0[i] - values1[i], 7) == 0
assert round(values0[i] - values2[i], 7) == 0
assert round(values0[i] - values3[i], 7) == 0
assert round(values4[:sdim][i] - values0[i], 7) == 0
if gdim == 3:
assert round(values4[sdim:sdim*2][i] - values0[i], 7) == 0
assert round(values4[sdim*2:][i] - values0[i], 7) == 0
else:
assert round(values4[sdim:][i] - values0[i], 7) == 0
def test_evaluate_dofs_manifolds_affine():
"Testing evaluate_dofs vs tabulated coordinates."
n = 4
mesh = BoundaryMesh(UnitSquareMesh(n, n), "exterior")
mesh2 = BoundaryMesh(UnitCubeMesh(n, n, n), "exterior")
DG0 = FunctionSpace(mesh, "DG", 0)
DG1 = FunctionSpace(mesh, "DG", 1)
CG1 = FunctionSpace(mesh, "CG", 1)
CG2 = FunctionSpace(mesh, "CG", 2)
DG20 = FunctionSpace(mesh2, "DG", 0)
DG21 = FunctionSpace(mesh2, "DG", 1)
CG21 = FunctionSpace(mesh2, "CG", 1)
CG22 = FunctionSpace(mesh2, "CG", 2)
elements = [DG0, DG1, CG1, CG2, DG20, DG21, CG21, CG22]
f = Expression("x[0] + x[1]", degree=1)
for V in elements:
sdim = V.element().space_dimension()
gdim = V.mesh().geometry().dim()
coord = numpy.zeros(gdim, dtype="d")
values0 = numpy.zeros(sdim, dtype="d")
values1 = numpy.zeros(sdim, dtype="d")
for cell in cells(V.mesh()):
vx = cell.get_vertex_coordinates()
orientation = cell.orientation()
coords = V.element().tabulate_dof_coordinates(cell)
for i in range(coords.shape[0]):
coord[:] = coords[i, :]
values0[i] = f(*coord)
values1 = V.element().evaluate_dofs(f, vx, orientation, cell)
for i in range(sdim):
assert round(values0[i] - values1[i], 7) == 0
@pytest.mark.parametrize('mesh_factory', [(UnitSquareMesh, (4, 4)),
(UnitCubeMesh, (2, 2, 2)),
(UnitSquareMesh.create, (4, 4, CellType.Type.quadrilateral)),
(UnitCubeMesh.create, (2, 2, 2, CellType.Type.hexahedron))])
def test_tabulate_coord(mesh_factory):
func, args = mesh_factory
mesh = func(*args)
v = FiniteElement("Lagrange", mesh.ufl_cell(), 1)
q = VectorElement("Lagrange", mesh.ufl_cell(), 1)
w = v*q
V = FunctionSpace(mesh, v)
W = FunctionSpace(mesh, w)
sdim = V.element().space_dimension()
gdim = V.element().geometric_dimension()
coord0 = numpy.zeros((sdim, gdim), dtype="d")
coord1 = numpy.zeros((sdim, gdim), dtype="d")
coord2 = numpy.zeros((sdim, gdim), dtype="d")
coord3 = numpy.zeros((sdim, gdim), dtype="d")
coord4 = numpy.zeros((gdim*sdim, gdim), dtype="d")
L0 = W.sub(0)
L1 = W.sub(1)
L01 = L1.sub(0)
L11 = L1.sub(1)
for cell in cells(mesh):
coord0 = V.element().tabulate_dof_coordinates(cell)
coord1 = L0.element().tabulate_dof_coordinates(cell)
coord2 = L01.element().tabulate_dof_coordinates(cell)
coord3 = L11.element().tabulate_dof_coordinates(cell)
coord4 = L1.element().tabulate_dof_coordinates(cell)
assert (coord0 == coord1).all()
assert (coord0 == coord2).all()
assert (coord0 == coord3).all()
if gdim == 3:
assert (coord4[sdim:sdim*2] == coord0).all()
assert (coord4[sdim*2:] == coord0).all()
else:
assert (coord4[sdim:] == coord0).all()
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