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"""Unit tests for the DiscreteOperator class"""
# Copyright (C) 2015 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/>.
import pytest
import numpy as np
from dolfin import *
from dolfin_utils.test import *
def test_gradient():
"""Test discrete gradient computation (typically used for curl-curl
AMG preconditioners"""
def compute_discrete_gradient(mesh):
V = FunctionSpace(mesh, "Lagrange", 1)
W = FunctionSpace(mesh, "Nedelec 1st kind H(curl)", 1)
G = DiscreteOperators.build_gradient(W, V)
num_edges = mesh.num_entities_global(1)
assert G.size(0) == num_edges
assert G.size(1) == mesh.num_entities_global(0)
assert round(G.norm("frobenius") - sqrt(2.0*num_edges), 8) == 0.0
meshes = [UnitSquareMesh(11, 6), UnitCubeMesh(4, 3, 7)]
for mesh in meshes:
compute_discrete_gradient(mesh)
def test_incompatible_spaces():
"Test that error is thrown when function spaces are not compatible"
mesh = UnitSquareMesh(13, 7)
V = FunctionSpace(mesh, "Lagrange", 1)
W = FunctionSpace(mesh, "Nedelec 1st kind H(curl)", 1)
with pytest.raises(RuntimeError):
G = DiscreteOperators.build_gradient(V, W)
with pytest.raises(RuntimeError):
G = DiscreteOperators.build_gradient(V, V)
with pytest.raises(RuntimeError):
G = DiscreteOperators.build_gradient(W, W)
V = FunctionSpace(mesh, "Lagrange", 2)
with pytest.raises(RuntimeError):
G = DiscreteOperators.build_gradient(W, V)
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