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"""Unit tests for reported multimesh issues"""
# Copyright (C) 2016 Anders Logg
#
# 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/>.
#
# Modified by August Johansson 2016
#
# First added: 2016-05-03
# Last changed: 2017-06-19
import pytest
from dolfin import *
from dolfin_utils.test import skip_in_parallel
@skip_in_parallel
def test_issue_754():
N = 3
meshes = [UnitSquareMesh(2*N, 2*N),
RectangleMesh(Point(0.1, 0.15), Point(0.6, 0.65), N, N),
RectangleMesh(Point(0.4, 0.35), Point(0.9, 0.85), N, N)]
multimesh = MultiMesh()
for mesh in meshes:
multimesh.add(mesh)
multimesh.build()
V = MultiMeshFunctionSpace(multimesh, "CG", 1)
u, v = TrialFunction(V), TestFunction(V)
a = inner(u,v) * dX
b = a + inner(jump(u),jump(v)) * dI
A = assemble_multimesh(a)
B = assemble_multimesh(b)
# create multimesh function w such that
# w(x) = 1 if x is in the last mesh
# = 0 otherwise
V_1 = FunctionSpace(multimesh.part(len(meshes)-1), "CG", 1)
v_1 = interpolate(Constant(1),V_1)
w = MultiMeshFunction(V)
w.assign_part((len(meshes)-1), v_1)
# Compute the area and perimeter of the last mesh
a = w.vector().inner(A * w.vector())
p = w.vector().inner(B * w.vector()) - a
# print("Computed area (a) and perimeter (p) of last mesh:")
# print(" a = {0:1.4f} (exact value is .25)".format(a))
# print(" p = {0:1.4f} (exact value is 2.0)".format(p))
assert(abs(a - 0.25) < DOLFIN_EPS_LARGE)
assert(abs(p - 2.) < DOLFIN_EPS_LARGE)
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