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__author__ = "Kristian B. Oelgaard (k.b.oelgaard@gmail.com)"
__date__ = "2010-01-18"
__copyright__ = "Copyright (C) 2010 Kristian B. Oelgaard"
__license__ = "GNU GPL version 3 or any later version"
# Last changed: 2010-01-29
from cppcode import evaluate_basis_code
from ufl import FiniteElement, MixedElement
import sys, os, commands, 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, 3]},\
{"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, 3]}
]
# 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)
# Create combinations in pairs.
mix_tri = [MixedElement(e) for e in xcomb([dg0_tri, dg1_tri, cg1_tri, cr1_tri, rt1_tri, bdm1_tri, ned1_tri], 2)]
mix_tet = [MixedElement(e) for e in xcomb([dg0_tet, dg1_tet, cg1_tet, cr1_tet, rt1_tet, bdm1_tet, ned1_tet], 2)]
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])])] + mix_tri + mix_tet
ffc_failed = []
gcc_failed = []
run_failed = []
def check_results(values, reference):
"Check results and print summary."
# Check if we have missing values.
missing_vals = []
num_refs = len(reference.keys())
for element in reference.keys():
if not element in values:
missing_vals.append(element)
missing_refs = []
diffs = []
correct = []
num_ok = 0
print ""
sorted_elements = sorted(values.keys())
for element in sorted_elements:
vals = values[element]
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
correct.append(element)
else:
print "*** (diff = %g)" % e
diffs.append(element)
if ffc_failed == gcc_failed == run_failed == missing_refs == diffs == missing_vals:
print "\nAll %d elements verified OK" % len(reference)
return 0
else:
print "\n*** The values were correct for the following elements:\n" + "\n\n".join(correct)
if len(ffc_failed) > 0:
print "\n*** FFC compilation failed for the following elements:\n" + "\n\n".join(ffc_failed)
if len(gcc_failed) > 0:
print "\n*** g++ compilation failed for the following elements:\n" + "\n\n".join(gcc_failed)
if len(run_failed) > 0:
print "\n*** Evaluation failed (seg. fault?) for the following elements:\n" + "\n\n".join(run_failed)
if len(missing_refs) > 0:
print "\n*** No reference values were found for the following elements:\n" + "\n\n".join(missing_refs)
if len(missing_vals) > 0:
print "\n*** No values were computed the following %d elements:\n" % len(missing_vals) +\
"\n\n".join(missing_vals)
if len(diffs) > 0:
print "\n*** Difference in values were found for the following elements:\n" + "\n\n".join(diffs)
num_ffc = len(ffc_failed)
num_gcc = len(gcc_failed)
num_run = len(run_failed)
num_ref = len(missing_refs)
num_val = len(missing_vals)
num_cor = len(correct)
num_dif = len(diffs)
print "\nNum ref elements: ", num_refs
print "Num ffc fail: ", num_ffc
print "Num gcc fail: ", num_gcc
print "Num run fail: ", num_run
print "Num miss ref: ", num_ref
print "Num miss val: ", num_val
print "Num correct: ", num_cor
print "Num diff: ", num_dif
print "Total: ", num_ffc + num_gcc + num_run + num_ref + num_val + num_cor + num_dif
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 = commands.getstatusoutput("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()
# Compile g++ code
c = "g++ `pkg-config --cflags ufc-1` -Wall -Werror -o evaluate_basis evaluate_basis.cpp"
error, output = commands.getstatusoutput(c)
if error:
gcc_failed.append(repr(ufl_element))
return None
# Run compiled code and get values
error, output = commands.getstatusoutput("./evaluate_basis")
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:
values[repr(ufl_element)] = None
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:
values[repr(ufl_element)] = None
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:]))
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