1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
|
# Copyright (C) 2010 Kristian B. Oelgaard
#
# This file is part of FFC.
#
# FFC 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.
#
# FFC 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 FFC. If not, see <http://www.gnu.org/licenses/>.
#
# First added: 2010-01-18
# Last changed: 2010-01-18
from cppcode import evaluate_basis_code
from ufl import FiniteElement, MixedElement
from instant.output import get_status_output
import sys, os, pickle, numpy, shutil
# Elements, supported by FFC and FIAT, and their supported shape and orders
# TODO: RT order 0 gives error from FIAT, but is allowed by UFL
# TODO: Nedelec order 0 gives error from FIAT, but is allowed by UFL
single_elements = [ {"family": "Lagrange",\
"shapes": ["interval", "triangle", "tetrahedron"],\
"orders": [1, 2, 3, 4]},\
{"family": "Discontinuous Lagrange",\
"shapes": ["interval", "triangle", "tetrahedron"],\
"orders": [0, 1, 2, 3, 4]},\
{"family": "Crouzeix-Raviart",\
"shapes": ["triangle", "tetrahedron"],\
"orders": [1]},\
{"family": "Raviart-Thomas",\
"shapes": ["triangle", "tetrahedron"],\
"orders": [1, 2]},\
{"family": "Brezzi-Douglas-Marini",\
"shapes": ["triangle", "tetrahedron"],\
"orders": [1, 2, 3]},\
{"family": "Brezzi-Douglas-Fortin-Marini",\
"shapes": ["triangle", "tetrahedron"],\
"orders": [1, 2, 3]},\
{"family": "Nedelec 1st kind H(curl)",\
"shapes": ["triangle", "tetrahedron"],\
"orders": [1, 2]}]
# Create some mixed elements
dg0_tri = FiniteElement("DG", "triangle", 0)
dg1_tri = FiniteElement("DG", "triangle", 1)
cg1_tri = FiniteElement("CG", "triangle", 1)
cr1_tri = FiniteElement("CR", "triangle", 1)
rt1_tri = FiniteElement("RT", "triangle", 1)
bdm1_tri = FiniteElement("BDM", "triangle", 1)
ned1_tri = FiniteElement("N1curl", "triangle", 1)
dg0_tet = FiniteElement("DG", "tetrahedron", 0)
dg1_tet = FiniteElement("DG", "tetrahedron", 1)
cg1_tet = FiniteElement("CG", "tetrahedron", 1)
cr1_tet = FiniteElement("CR", "tetrahedron", 1)
rt1_tet = FiniteElement("RT", "tetrahedron", 1)
bdm1_tet = FiniteElement("BDM", "tetrahedron", 1)
ned1_tet = FiniteElement("N1curl", "tetrahedron", 1)
mixed_elements = [MixedElement([dg0_tri]*4), MixedElement([cg1_tri]*3), MixedElement([bdm1_tri]*2),\
MixedElement([dg1_tri, cg1_tri, cr1_tri, rt1_tri, bdm1_tri, ned1_tri]),\
MixedElement([MixedElement([rt1_tri, cr1_tri]), cg1_tri, ned1_tri]),\
MixedElement([ned1_tri, dg1_tri, MixedElement([rt1_tri, cr1_tri])]),\
MixedElement([dg0_tet]*4), MixedElement([cg1_tet]*3), MixedElement([bdm1_tet]*2),\
MixedElement([dg1_tet, cg1_tet, cr1_tet, rt1_tet, bdm1_tet, ned1_tet]),\
MixedElement([MixedElement([rt1_tet, cr1_tet]), cg1_tet, ned1_tet]),\
MixedElement([ned1_tet, dg1_tet, MixedElement([rt1_tet, cr1_tet])])]
ffc_failed = []
gcc_failed = []
run_failed = []
def check_results(values, reference):
"Check results and print summary."
missing_refs = []
diffs = []
num_ok = 0
print ""
for element, vals in values.items():
print "\nResults for %s:" % element
if vals is None:
print "Error"
continue
# Get reference values
if not element in reference:
missing_refs.append(element)
print "Missing reference"
continue
refs = reference[element]
tol = 1e-12
e = max(abs(vals - refs))
if e < tol:
num_ok += 1
print "OK: (diff = %g)" % e
else:
print "*** (diff = %g)" % e
diffs.append(element)
if ffc_failed == gcc_failed == run_failed == missing_refs == diffs:
print "\nAll %d elements verified OK" % len(reference)
return 0
if len(ffc_failed) > 0:
print "\n*** FFC compilation failed for the following elements:\n" + "\n".join(ffc_failed)
if len(gcc_failed) > 0:
print "\n*** g++ compilation failed for the following elements:\n" + "\n".join(gcc_failed)
if len(run_failed) > 0:
print "\n*** Evaluation failed (seg. fault?) for the following elements:\n" + "\n".join(run_failed)
if len(missing_refs) > 0:
print "\n*** No reference values were found for the following elements:\n" + "\n".join(missing_refs)
if len(diffs) > 0:
print "\n*** Difference in values were found for the following elements:\n" + "\n".join(diffs)
return 1
def compile_element(ufl_element):
"Create UFL form file with a single element in it and compile it with FFC"
f = open("test.ufl", "w")
if isinstance(ufl_element, (FiniteElement, MixedElement)):
f.write("element = " + repr(ufl_element))
f.close()
error, out = get_status_output("ffc test.ufl")
if error:
ffc_failed.append(repr(ufl_element))
return error
def get_element_name(ufl_element):
"Extract relevant element name from header file."
f = open("test.h")
lines = f.readlines()
f.close()
signature = repr(ufl_element)
name = None
for e, l in enumerate(lines):
if "class" in l and "finite_element" in l:
name = l
if signature in l:
break
if name is None:
raise RuntimeError("No finite element class found")
return name.split()[1][:-1]
def compute_values(ufl_element):
"Compute values of basis functions for given element."
# Get relevant element name
element_name = get_element_name(ufl_element)
# Create g++ code
options = {"element": element_name}
code = evaluate_basis_code % options
f = open("evaluate_basis.cpp", "w")
f.write(code)
f.close()
# Get UFC flags
ufc_cflags = get_status_output("pkg-config --cflags ufc-1")[1].strip()
# Compile g++ code
c = "g++ %s -Wall -Werror -o evaluate_basis evaluate_basis.cpp" % ufc_cflags
error, output = get_status_output(c)
if error:
gcc_failed.append(repr(ufl_element))
return None
# Run compiled code and get values
error, output = get_status_output(".%sevaluate_basis" % os.path.sep)
if error:
run_failed.append(repr(ufl_element))
return None
values = [float(value) for value in output.split(" ") if len(value) > 0]
return numpy.array(values)
def print_refs():
if os.path.isfile("reference.pickle"):
reference = pickle.load(open("reference.pickle", "r"))
for elem, vals in reference.items():
print
print elem
print vals
else:
raise RuntimeError("No references to print")
def main(args):
"Call evaluate basis for a range of different elements."
if "refs" in args:
print_refs()
return 0
# Change to temporary folder and copy form files
if not os.path.isdir("tmp"):
os.mkdir("tmp")
os.chdir("tmp")
values = {}
# Evaluate basis for single elements
print "\nComputing evaluate_basis for single elements"
for element in single_elements:
for shape in element["shapes"]:
for order in element["orders"]:
ufl_element = FiniteElement(element["family"], shape, order)
print "Compiling element: ", str(ufl_element)
error = compile_element(ufl_element)
if error:
continue
print "Computing values"
values[repr(ufl_element)] = compute_values(ufl_element)
# Evaluate basis for mixed elements
print "\nComputing evaluate_basis for mixed elements"
for ufl_element in mixed_elements:
print "Compiling element: ", str(ufl_element)
error = compile_element(ufl_element)
if error:
continue
print "Computing values"
values[repr(ufl_element)] = compute_values(ufl_element)
# Load or update reference values
os.chdir(os.pardir)
if os.path.isfile("reference.pickle"):
reference = pickle.load(open("reference.pickle", "r"))
else:
print "Unable to find reference values, storing current values."
pickle.dump(values, open("reference.pickle", "w"))
return 0
# Check results
error = check_results(values, reference)
if not error:
# Remove temporary directory
shutil.rmtree("tmp")
return error
if __name__ == "__main__":
sys.exit(main(sys.argv[1:]))
|
