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
|
"""Unit tests for basic math functions"""
# Copyright (C) 2011 Martin Alnaes
#
# 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 Garth N. Wells, 2011
#
# First added: 2011-07-108
# Last changed:
import unittest
import numpy
from dolfin import *
class DirichletBCTest(unittest.TestCase):
def test_near(self):
eps = DOLFIN_EPS
# Loop over magnitudes
for i in range(100):
# Loop over base values
for j in range(1, 10):
# Compute a value v and some values close to it
v = j*10**(i-13)
#print "number:", v
vm = v - eps
vp = v + eps
#vm = v - v*eps # Scaling eps does not work
#vp = v + v*eps
# Check that we return True when we should by definition:
self.assertTrue(near(v, v))
self.assertTrue(near(vm, vm))
self.assertTrue(near(vp, vp))
#self.assertTrue(near(v, vm)) # Can fail
#self.assertTrue(near(v, vp))
if not near(v, vm):
print "not near vm: %r, %r" % (v, vm)
if not near(v, vp):
print "not near vp: %r, %r" % (v, vp)
# vm and vp can round off to v, make some small values != v
# that are close to 1 (except for some of the smallest v's)
v2m = v * (1.0 - 2*eps) - 2*eps
v2p = v * (1.0 + 2*eps) + 2*eps
self.assertTrue(v/v2m > 1.0)
self.assertTrue(v/v2p < 1.0)
# Check that we can fail for fairly close values
self.assertFalse(near(v, v2m))
self.assertFalse(near(v, v2p))
def test_between(self):
eps = DOLFIN_EPS
# Loop over magnitudes
for i in range(100):
# Loop over base values
for j in range(1, 10):
# Compute a value v and some values close to it
v = j*10**(i - 15)
vm = v - eps
vp = v + eps
# Check that we return True when we should by definition:
self.assertTrue(between(v, (vm, vp)))
# vm and vp can round off to v, make some small values != v
v2m = v * (1.0 - 2*eps) - 2*eps
v2p = v * (1.0 + 2*eps) + 2*eps
# Close to 1 except for some of the smallest v's:
self.assertTrue(v/v2m > 1.0)
self.assertTrue(v/v2p < 1.0)
self.assertTrue(between(v, (v2m, v2p)))
# Check that we can fail for fairly close values
self.assertFalse(between(v, (v2p, v2m)))
if __name__ == "__main__":
print ""
print "Testing basic DOLFIN maths operations"
print "------------------------------------------------"
unittest.main()
|
