/[escript]/trunk/escript/test/python/test_linearPDEs.py
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Revision 2470 - (hide annotations)
Thu Jun 11 08:32:32 2009 UTC (10 years, 4 months ago) by gross
File MIME type: text/x-python
File size: 161629 byte(s)
SolverOption class added. It is not linked with anything.
1 ksteube 1809
2     ########################################################
3 ksteube 1312 #
4 ksteube 1809 # Copyright (c) 2003-2008 by University of Queensland
5     # Earth Systems Science Computational Center (ESSCC)
6     # http://www.uq.edu.au/esscc
7 ksteube 1312 #
8 ksteube 1809 # Primary Business: Queensland, Australia
9     # Licensed under the Open Software License version 3.0
10     # http://www.opensource.org/licenses/osl-3.0.php
11 ksteube 1312 #
12 ksteube 1809 ########################################################
13 jgs 149
14 ksteube 1809 __copyright__="""Copyright (c) 2003-2008 by University of Queensland
15     Earth Systems Science Computational Center (ESSCC)
16     http://www.uq.edu.au/esscc
17     Primary Business: Queensland, Australia"""
18     __license__="""Licensed under the Open Software License version 3.0
19     http://www.opensource.org/licenses/osl-3.0.php"""
20 jfenwick 2344 __url__="https://launchpad.net/escript-finley"
21 ksteube 1809
22 jgs 149 """
23     Test suite for linearPDEs class
24    
25     The tests must be linked with a Domain class object in the setUp method:
26    
27     from esys.finley import Rectangle
28     class Test_LinearPDEOnFinley(Test_LinearPDE):
29     def setUp(self):
30     self.domain = Rectangle(10,10,2)
31 gross 798 def tearDown(self):
32     del self.domain
33 jgs 149 suite = unittest.TestSuite()
34     suite.addTest(unittest.makeSuite(Test_LinearPDEOnFinley))
35     unittest.TextTestRunner(verbosity=2).run(suite)
36    
37 gross 637 @var __author__: name of author
38     @var __copyright__: copyrights
39     @var __license__: licence agreement
40     @var __url__: url entry point on documentation
41     @var __version__: version
42     @var __date__: date of the version
43 jgs 149 """
44    
45     __author__="Lutz Gross, l.gross@uq.edu.au"
46    
47 gross 2325 from esys.escript.util import Lsup,kronecker,interpolate,whereZero, outer, swap_axes
48 ksteube 1312 from esys.escript import Function,FunctionOnBoundary,FunctionOnContactZero,Solution,ReducedSolution,Vector,ContinuousFunction,Scalar, ReducedFunction,ReducedFunctionOnBoundary,ReducedFunctionOnContactZero,Data, Tensor4, Tensor
49 gross 2470 from esys.escript.linearPDEs import LinearPDE,IllegalCoefficientValue,Poisson, IllegalCoefficientFunctionSpace, TransportPDE, IllegalCoefficient, Helmholtz, LameEquation, SolverOptions
50 jfenwick 2455 import numpy
51 jgs 149 import unittest
52    
53     class Test_linearPDEs(unittest.TestCase):
54     TOL=1.e-6
55 jgs 153 SOLVER_TOL=1.e-10
56 jgs 149 DEBUG=False
57     VERBOSE=False
58     def check(self,arg,ref_arg,tol=None):
59     """
60     checks if arg and ref_arg are nearly identical using the L{Lsup<esys.escript.util.Lsup>}
61     """
62     if tol==None: tol=self.TOL
63     return Lsup(arg-ref_arg)<=tol*Lsup(ref_arg)
64    
65 gross 2325 class Test_LameEquation(Test_linearPDEs):
66    
67     def test_config(self):
68     mypde=LameEquation(self.domain,debug=self.DEBUG)
69     d=self.domain.getDim()
70     self.failUnlessEqual((mypde.getNumEquations(),mypde.getNumSolutions(),mypde.isSymmetric()),(d,d,True),"set up incorrect")
71    
72     def test_setCoefficient_q(self):
73     mypde=LameEquation(self.domain,debug=self.DEBUG)
74     x=self.domain.getX()
75     mypde.setValue(q=x)
76    
77     q_ref=interpolate(x,Solution(self.domain))
78     self.failUnless(self.check(mypde.getCoefficient("A"),0),"A is not 0")
79     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
80     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
81     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
82     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
83     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
84     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
85     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
86     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
87     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
88     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
89     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
90     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
91     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
92     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
93     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
94     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
95     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
96     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
97     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
98     self.failUnless(self.check(mypde.getCoefficient("q"),q_ref),"q is not empty")
99     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
100    
101     def test_setCoefficient_r(self):
102     mypde=LameEquation(self.domain,debug=self.DEBUG)
103     x=self.domain.getX()
104     mypde.setValue(r=x)
105    
106     r_ref=interpolate(x,Solution(self.domain))
107     self.failUnless(self.check(mypde.getCoefficient("A"),0),"A is not 0")
108     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
109     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
110     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
111     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
112     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
113     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
114     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
115     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
116     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
117     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
118     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
119     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
120     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
121     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
122     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
123     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
124     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
125     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
126     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
127     self.failUnless(self.check(mypde.getCoefficient("r"),r_ref),"r is nor x")
128     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
129    
130    
131     def test_setCoefficient_F(self):
132     mypde=LameEquation(self.domain,debug=self.DEBUG)
133     x=self.domain.getX()
134     mypde.setValue(F=x)
135    
136     Y_ref=interpolate(x,Function(self.domain))
137     self.failUnless(self.check(mypde.getCoefficient("A"),0),"A is not 0")
138     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
139     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
140     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
141     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
142     self.failUnless(self.check(mypde.getCoefficient("Y"),Y_ref),"Y is not x")
143     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
144     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
145     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
146     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
147     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
148     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
149     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
150     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
151     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
152     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
153     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
154     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
155     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
156     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
157     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
158     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
159    
160     def test_setCoefficient_f(self):
161     mypde=LameEquation(self.domain,debug=self.DEBUG)
162     x=self.domain.getX()
163     mypde.setValue(f=x)
164    
165     y_ref=interpolate(x,FunctionOnBoundary(self.domain))
166     self.failUnless(self.check(mypde.getCoefficient("A"),0),"A is not 0")
167     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
168     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
169     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
170     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
171     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
172     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
173     self.failUnless(self.check(mypde.getCoefficient("y"),y_ref),"d is not x[0]")
174     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
175     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
176     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
177     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
178     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
179     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
180     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
181     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"X_reduced is not empty")
182     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
183     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
184     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
185     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
186     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
187     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
188    
189     def test_setCoefficient_sigma(self):
190     mypde=LameEquation(self.domain,debug=self.DEBUG)
191     x=self.domain.getX()
192     mypde.setValue(sigma=outer(x,x))
193    
194     X_ref=interpolate(outer(x,x),Function(self.domain))
195     self.failUnless(self.check(mypde.getCoefficient("A"),0),"A is not 0")
196     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
197     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
198     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
199     self.failUnless(self.check(mypde.getCoefficient("X"),X_ref),"X is not x X x")
200     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
201     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
202     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
203     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
204     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
205     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
206     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
207     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
208     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
209     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
210     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"X_reduced is not empty")
211     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
212     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
213     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
214     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
215     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
216     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
217    
218     def test_setCoefficient_lambda(self):
219     mypde=LameEquation(self.domain,debug=self.DEBUG)
220     x=self.domain.getX()
221     mypde.setValue(lame_lambda=x[0])
222    
223    
224     k3=kronecker(Function(self.domain))
225     k3Xk3=outer(k3,k3)
226     A_ref=x[0]*k3Xk3
227    
228     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
229     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
230     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
231     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
232     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
233     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
234     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
235     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
236     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
237     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
238     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
239     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
240     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
241     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
242     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
243     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
244     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
245     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
246     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
247     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
248     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
249     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
250    
251     def test_setCoefficient_mu(self):
252     mypde=LameEquation(self.domain,debug=self.DEBUG)
253     x=self.domain.getX()
254     mypde.setValue(lame_mu=x[0])
255    
256    
257     k3=kronecker(Function(self.domain))
258     k3Xk3=outer(k3,k3)
259     A_ref=x[0]*(swap_axes(k3Xk3,0,3)+swap_axes(k3Xk3,1,3))
260    
261     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
262     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
263     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
264     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
265     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
266     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
267     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
268     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
269     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
270     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
271     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
272     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
273     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
274     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
275     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
276     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
277     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
278     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
279     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
280     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
281     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
282     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
283    
284     def test_setCoefficient_lambdamu(self):
285     mypde=LameEquation(self.domain,debug=self.DEBUG)
286     x=self.domain.getX()
287     mypde.setValue(lame_lambda=x[0], lame_mu=x[1])
288    
289     k3=kronecker(Function(self.domain))
290     k3Xk3=outer(k3,k3)
291     A_ref=x[0]*k3Xk3+x[1]*(swap_axes(k3Xk3,0,3)+swap_axes(k3Xk3,1,3))
292    
293     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
294     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
295     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
296     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
297     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
298     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
299     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
300     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
301     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
302     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
303     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
304     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
305     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
306     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
307     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
308     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
309     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
310     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
311     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
312     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
313     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
314     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
315    
316     def test_solve(self):
317     d=self.domain.getDim()
318     mypde=LameEquation(self.domain)
319     cf=ContinuousFunction(self.domain)
320     x=cf.getX()
321     u_ex=x
322     msk=Vector(0.,cf)
323     for i in range(d): msk[i]=whereZero(x[i])
324     mypde.setValue(q=msk,r=u_ex,lame_mu=3,lame_lambda=50,f=(2*3+50*d)*FunctionOnBoundary(self.domain).getNormal())
325    
326     u=mypde.getSolution()
327     self.failUnless(self.check(u,u_ex,10*self.TOL),"incorrect solution")
328    
329 gross 2323 class Test_Helmholtz(Test_linearPDEs):
330    
331     def test_config(self):
332     mypde=Helmholtz(self.domain,debug=self.DEBUG)
333     self.failUnlessEqual((mypde.getNumEquations(),mypde.getNumSolutions(),mypde.isSymmetric()),(1,1,True),"set up incorrect")
334     def test_setCoefficient_q(self):
335     mypde=Helmholtz(self.domain,debug=self.DEBUG)
336     x=self.domain.getX()
337     mypde.setValue(q=whereZero(x[0]))
338    
339     q_ref=interpolate(whereZero(x[0]),Solution(self.domain))
340     A_ref=kronecker(self.domain)
341    
342     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
343     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
344     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
345     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
346     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
347     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
348     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
349     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
350     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
351     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
352     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
353     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
354     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
355     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
356     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
357     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
358     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
359     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
360     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
361     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
362     self.failUnless(self.check(mypde.getCoefficient("q"),q_ref),"q is not empty")
363     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
364    
365     def test_setCoefficient_r(self):
366     mypde=Helmholtz(self.domain,debug=self.DEBUG)
367     x=self.domain.getX()
368     mypde.setValue(r=x[0])
369    
370     r_ref=interpolate(x[0],Solution(self.domain))
371     A_ref=kronecker(self.domain)
372     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
373     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
374     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
375     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
376     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
377     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
378     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
379     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
380     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
381     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
382     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
383     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
384     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
385     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
386     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
387     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
388     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
389     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
390     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
391     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
392     self.failUnless(self.check(mypde.getCoefficient("r"),r_ref),"r is nor x[0]")
393     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
394    
395    
396     def test_setCoefficient_f(self):
397     mypde=Helmholtz(self.domain,debug=self.DEBUG)
398     x=self.domain.getX()
399     mypde.setValue(f=x[0])
400    
401     Y_ref=interpolate(x[0],Function(self.domain))
402     A_ref=kronecker(self.domain)
403     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
404     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
405     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
406     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
407     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
408     self.failUnless(self.check(mypde.getCoefficient("Y"),Y_ref),"Y is not x[0]")
409     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
410     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
411     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
412     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
413     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
414     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
415     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
416     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
417     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
418     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
419     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
420     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
421     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
422     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
423     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
424     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
425    
426     def test_setCoefficient_alpha(self):
427     mypde=Helmholtz(self.domain,debug=self.DEBUG)
428     x=self.domain.getX()
429     mypde.setValue(alpha=x[0])
430    
431     d_ref=interpolate(x[0],FunctionOnBoundary(self.domain))
432     A_ref=kronecker(self.domain)
433     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
434     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
435     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
436     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
437     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
438     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
439     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
440     self.failUnless(self.check(mypde.getCoefficient("d"),d_ref),"d is not x[0]")
441     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
442     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
443     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
444     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
445     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
446     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
447     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
448     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"X_reduced is not empty")
449     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
450     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
451     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
452     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
453     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
454     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
455    
456     def test_setCoefficient_g(self):
457     mypde=Helmholtz(self.domain,debug=self.DEBUG)
458     x=self.domain.getX()
459     mypde.setValue(g=x[0])
460    
461     y_ref=interpolate(x[0],FunctionOnBoundary(self.domain))
462     A_ref=kronecker(self.domain)
463     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
464     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
465     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
466     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
467     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
468     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
469     self.failUnless(self.check(mypde.getCoefficient("y"),y_ref),"y is not x[0]")
470     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
471     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
472     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
473     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
474     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
475     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
476     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
477     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
478     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
479     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
480     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
481     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
482     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
483     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
484     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
485    
486     def test_setCoefficient_omega(self):
487     mypde=Helmholtz(self.domain,debug=self.DEBUG)
488     x=self.domain.getX()
489     mypde.setValue(omega=x[0])
490    
491     D_ref=interpolate(x[0],Function(self.domain))
492     A_ref=kronecker(self.domain)
493     self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
494     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
495     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
496     self.failUnless(self.check(mypde.getCoefficient("D"),D_ref),"D is not x[0]")
497     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
498     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
499     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
500     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
501     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
502     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
503     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
504     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
505     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
506     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
507     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
508     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
509     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
510     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
511     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
512     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
513     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
514     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
515    
516     def test_solve(self):
517     d=self.domain.getDim()
518     cf=ContinuousFunction(self.domain)
519     u_ex=Scalar(1.,cf)
520     mypde=Helmholtz(self.domain)
521     mypde.setValue(f=3,omega=3,alpha=2,g=2)
522     u=mypde.getSolution()
523     self.failUnless(self.check(u,u_ex,10*self.TOL),"incorrect solution")
524    
525 jgs 149 class Test_Poisson(Test_linearPDEs):
526    
527     def test_config(self):
528     mypde=Poisson(self.domain,debug=self.DEBUG)
529     self.failUnlessEqual((mypde.getNumEquations(),mypde.getNumSolutions(),mypde.isSymmetric()),(1,1,True),"set up incorrect")
530     def test_setCoefficient_q(self):
531     mypde=Poisson(self.domain,debug=self.DEBUG)
532     x=self.domain.getX()
533 gross 304 q_ref=interpolate(whereZero(x[0]),Solution(self.domain))
534 jgs 149 A_ref=kronecker(self.domain)
535 gross 304 mypde.setValue(q=whereZero(x[0]))
536 gross 1841 self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
537     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
538     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
539     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
540     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
541     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
542     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
543     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
544     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
545     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
546     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
547     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
548     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
549     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
550     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
551     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
552     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
553     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
554     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
555     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
556     self.failUnless(self.check(mypde.getCoefficient("q"),q_ref),"q is not empty")
557     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
558 jgs 149 def test_setCoefficient_f(self):
559     mypde=Poisson(self.domain,debug=self.DEBUG)
560     x=self.domain.getX()
561     Y_ref=interpolate(x[0],Function(self.domain))
562     A_ref=kronecker(self.domain)
563     mypde.setValue(f=x[0])
564 gross 1841 self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
565     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
566     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
567     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
568     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
569     self.failUnless(self.check(mypde.getCoefficient("Y"),Y_ref),"Y is not x[0]")
570     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
571     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
572     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
573     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
574     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
575     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
576     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
577     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
578     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
579     self.failUnless(mypde.getCoefficient("Y_reduced").isEmpty(),"Y_reduced is not empty")
580     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
581     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
582     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
583     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
584     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
585     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
586 gross 1072 def test_setCoefficient_f_reduced(self):
587     mypde=Poisson(self.domain,debug=self.DEBUG)
588     x=self.domain.getX()
589     Y_ref=interpolate(x[0],ReducedFunction(self.domain))
590     A_ref=kronecker(self.domain)
591     mypde.setValue(f_reduced=x[0])
592 gross 1841 self.failUnless(self.check(mypde.getCoefficient("A"),A_ref),"A is not kronecker")
593     self.failUnless(mypde.getCoefficient("B").isEmpty(),"B is not empty")
594     self.failUnless(mypde.getCoefficient("C").isEmpty(),"C is not empty")
595     self.failUnless(mypde.getCoefficient("D").isEmpty(),"D is not empty")
596     self.failUnless(mypde.getCoefficient("X").isEmpty(),"X is not empty")
597     self.failUnless(mypde.getCoefficient("Y").isEmpty(),"Y is not empty")
598     self.failUnless(mypde.getCoefficient("y").isEmpty(),"y is not empty")
599     self.failUnless(mypde.getCoefficient("d").isEmpty(),"d is not empty")
600     self.failUnless(mypde.getCoefficient("d_contact").isEmpty(),"d_contact is not empty")
601     self.failUnless(mypde.getCoefficient("y_contact").isEmpty(),"y_contact is not empty")
602     self.failUnless(mypde.getCoefficient("A_reduced").isEmpty(),"A_reduced is not empty")
603     self.failUnless(mypde.getCoefficient("B_reduced").isEmpty(),"B_reduced is not empty")
604     self.failUnless(mypde.getCoefficient("C_reduced").isEmpty(),"C_reduced is not empty")
605     self.failUnless(mypde.getCoefficient("D_reduced").isEmpty(),"D_reduced is not empty")
606     self.failUnless(mypde.getCoefficient("X_reduced").isEmpty(),"X_reduced is not empty")
607     self.failUnless(self.check(mypde.getCoefficient("Y_reduced"),Y_ref),"Y_reduced is not x[0]")
608     self.failUnless(mypde.getCoefficient("y_reduced").isEmpty(),"y_reduced is not empty")
609     self.failUnless(mypde.getCoefficient("d_reduced").isEmpty(),"d_reduced is not empty")
610     self.failUnless(mypde.getCoefficient("d_contact_reduced").isEmpty(),"d_contact_reduced is not empty")
611     self.failUnless(mypde.getCoefficient("y_contact_reduced").isEmpty(),"y_contact_reduced is not empty")
612     self.failUnless(mypde.getCoefficient("q").isEmpty(),"q is not empty")
613     self.failUnless(mypde.getCoefficient("r").isEmpty(),"r is not empty")
614 jgs 149 def test_solve(self):
615     d=self.domain.getDim()
616     cf=ContinuousFunction(self.domain)
617     x=cf.getX()
618     #construct exact solution:
619     u_ex=Scalar(1.,cf)
620     for i in range(d):
621     u_ex*=x[i]*(2.-x[i])
622     #construct mask:
623     msk=Scalar(0.,cf)
624     for i in range(d):
625 gross 304 msk+=whereZero(x[i])
626 jgs 149 #construct right hand side
627     f=Scalar(0,cf)
628     for i in range(d):
629     f_p=Scalar(1,cf)
630     for j in range(d):
631     if i==j:
632     f_p*=2.
633     else:
634     f_p*=x[j]*(2-x[j])
635     f+=f_p
636     mypde=Poisson(self.domain)
637     mypde.setValue(f=f,q=msk)
638     u=mypde.getSolution()
639     self.failUnless(self.check(u,u_ex,10*self.TOL),"incorrect solution")
640    
641 gross 855 class Test_LinearPDE_noLumping(Test_linearPDEs):
642 jgs 149 N=4
643 gross 2470 def test_SolverOptions(self):
644     so=SolverOptions()
645    
646     self.failUnless(so.getLevelMax() == 10, "initial LevelMax is wrong.")
647     self.failUnlessRaises(ValueError,so.setLevelMax,-1)
648     so.setLevelMax(3)
649     self.failUnless(so.getLevelMax() == 3, "LevelMax is wrong.")
650    
651     self.failUnless(so.getCoarseningThreshold() == 0.05, "initial CoarseningThreshold is wrong.")
652     self.failUnlessRaises(ValueError,so.setCoarseningThreshold,-1)
653     so.setCoarseningThreshold(0.1)
654     self.failUnless(so.getCoarseningThreshold() == 0.1, "CoarseningThreshold is wrong.")
655    
656     self.failUnless(so.getNumSweeps() == 2, "initial Sweeps is wrong.")
657     self.failUnlessRaises(ValueError,so.setNumSweeps,-1)
658     so.setNumSweeps(3)
659     self.failUnless(so.getNumSweeps() == 3, "Sweeps is wrong.")
660    
661     self.failUnless(so.getNumPreSweeps() == 2, "initial PreSweeps is wrong.")
662     self.failUnlessRaises(ValueError,so.setNumPreSweeps,-1)
663     so.setNumPreSweeps(4)
664     self.failUnless(so.getNumPreSweeps() == 4, "PreSweeps is wrong.")
665    
666     self.failUnless(so.getNumPostSweeps() == 2, "initial PreSweeps is wrong.")
667     self.failUnlessRaises(ValueError,so.setNumPostSweeps,-1)
668     so.setNumPostSweeps(5)
669     self.failUnless(so.getNumPostSweeps() == 5, "PreSweeps is wrong.")
670    
671     self.failUnless(so.getTolerance() == 1.e-8, "initial Tolerance is wrong.")
672     self.failUnlessRaises(ValueError,so.setTolerance,-1)
673     so.setTolerance(0.2)
674     self.failUnless(so.getTolerance() == 0.2, "Tolerance is wrong.")
675    
676     self.failUnless(so.getAbsoluteTolerance() == 0., "initial AbsoluteTolerance is wrong.")
677     self.failUnlessRaises(ValueError,so.setAbsoluteTolerance,-1)
678     so.setAbsoluteTolerance(0.3)
679     self.failUnless(so.getAbsoluteTolerance() == 0.3, "AbsoluteTolerance is wrong.")
680    
681     self.failUnless(so.getInnerTolerance() == 0.9, "initial InnerTolerance is wrong.")
682     self.failUnlessRaises(ValueError,so.setInnerTolerance,-1)
683     so.setInnerTolerance(0.4)
684     self.failUnless(so.getInnerTolerance() == 0.4, "InnerTolerance is wrong.")
685    
686     self.failUnless(so.getDropTolerance() == 0.01, "initial DropTolerance is wrong.")
687     self.failUnlessRaises(ValueError,so.setDropTolerance,-1)
688     so.setDropTolerance(0.5)
689     self.failUnless(so.getDropTolerance() == 0.5, "DropDropTolerance is wrong.")
690    
691     self.failUnless(so.getDropStorage() == 2., "initial DropStorage is wrong.")
692     self.failUnlessRaises(ValueError,so.setDropStorage,-1)
693     so.setDropStorage(10)
694     self.failUnless(so.getDropStorage() == 10, "DropStorage is wrong.")
695    
696     self.failUnless(so.getRelaxationFactor() == 0.3, "initial RelaxationFactor is wrong.")
697     self.failUnlessRaises(ValueError,so.setRelaxationFactor,-1)
698     so.setRelaxationFactor(0.1)
699     self.failUnless(so.getRelaxationFactor() == 0.1, "Relaxation is wrong.")
700    
701    
702     self.failUnless(so.getIterMax() == 10000, "initial IterMax is wrong.")
703     self.failUnlessRaises(ValueError,so.setIterMax,0)
704     so.setIterMax(11)
705     self.failUnless(so.getIterMax() == 11, "IterMax is wrong.")
706    
707     self.failUnless(so.getInnerIterMax() == 10, "initial InnerIterMax is wrong.")
708     self.failUnlessRaises(ValueError,so.setInnerIterMax,0)
709     so.setInnerIterMax(12)
710     self.failUnless(so.getInnerIterMax() == 12, "InnerIterMax is wrong.")
711    
712     self.failUnless(so.getTruncation() == 20, "initial Truncation is wrong.")
713     self.failUnlessRaises(ValueError,so.setTruncation,0)
714     so.setTruncation(13)
715     self.failUnless(so.getTruncation() == 13, "Truncation is wrong.")
716    
717     self.failUnless(so.getRestart() == None, "initial Truncation is wrong.")
718     self.failUnlessRaises(ValueError,so.setTruncation,0)
719     so.setRestart(14)
720     self.failUnless(so.getRestart() == 14, "Truncation is wrong.")
721     so.setRestart(None)
722     self.failUnless(so.getRestart() == None, "Truncation is wrong.")
723    
724     self.failUnless(not so.isSymmetric(), "initial symmetry flag is wrong.")
725     so.setSymmetryOn()
726     self.failUnless(so.isSymmetric(), "symmetry (1) flag is wrong.")
727     so.setSymmetryOff()
728     self.failUnless(not so.isSymmetric(), "symmetry (2) flag is wrong.")
729     so.setSymmetry(flag=True)
730     self.failUnless(so.isSymmetric(), "symmetry (3) flag is wrong.")
731     so.setSymmetry(flag=False)
732     self.failUnless(not so.isSymmetric(), "symmetry (4) flag is wrong.")
733    
734     self.failUnless(so.adaptInnerTolerance(), "initial InnerToleranceAdaption flag is wrong.")
735     so.setInnerToleranceAdaptionOn()
736     self.failUnless(so.adaptInnerTolerance(), "InnerToleranceAdaption (1) flag is wrong.")
737     so.setInnerToleranceAdaptionOff()
738     self.failUnless(not so.adaptInnerTolerance(), "InnerToleranceAdaption (2) flag is wrong.")
739     so.setInnerToleranceAdaption(adapt=True)
740     self.failUnless(so.adaptInnerTolerance(), "InnerToleranceAdaption (3) flag is wrong.")
741     so.setInnerToleranceAdaption(adapt=False)
742     self.failUnless(not so.adaptInnerTolerance(), "InnerToleranceAdaption (4) flag is wrong.")
743    
744     self.failUnless(not so.acceptConvergenceFailure(), "initial acceptConvergenceFailure flag is wrong.")
745     so.setAcceptanceConvergenceFailureOn()
746     self.failUnless(so.acceptConvergenceFailure(), "acceptConvergenceFailure (1) flag is wrong.")
747     so.setAcceptanceConvergenceFailureOff()
748     self.failUnless(not so.acceptConvergenceFailure(), "acceptConvergenceFailure (2) flag is wrong.")
749     so.setAcceptanceConvergenceFailure(accept=True)
750     self.failUnless(so.acceptConvergenceFailure(), "acceptConvergenceFailure (3) flag is wrong.")
751     so.setAcceptanceConvergenceFailure(accept=False)
752     self.failUnless(not so.acceptConvergenceFailure(), "acceptConvergenceFailure (4) flag is wrong.")
753    
754     self.failUnless(so.getReordering() == 30, "initial Reordering is wrong.")
755     self.failUnlessRaises(ValueError,so.setReordering,-1)
756     so.setReordering(so.NO_REORDERING)
757     self.failUnless(so.getReordering() == 17, "NO_REORDERING is not set.")
758     so.setReordering(so.MINIMUM_FILL_IN)
759     self.failUnless(so.getReordering() == 18, "MINIMUM_FILL_IN is not set.")
760     so.setReordering(so.NESTED_DISSECTION)
761     self.failUnless(so.getReordering() == 19, "NESTED_DISSECTION is not set.")
762     so.setReordering(so.DEFAULT_REORDERING)
763     self.failUnless(so.getReordering() == 30, "DEFAULT_REORDERING is not set.")
764    
765     self.failUnless(so.getPackage() == 0, "initial solver package is wrong.")
766     self.failUnlessRaises(ValueError,so.setPackage,-1)
767     so.setPackage(so.PASO)
768     self.failUnless(so.getPackage() == 21, "PASO is not set.")
769     so.setPackage(so.SUPER_LU)
770     self.failUnless(so.getPackage() == 31, "SUPER_LU is not set.")
771     so.setPackage(so.PASTIX)
772     self.failUnless(so.getPackage() == 32, "PASTIX is not set.")
773     so.setPackage(so.MKL)
774     self.failUnless(so.getPackage() == 15, "MKL is not set.")
775     so.setPackage(so.UMFPACK)
776     self.failUnless(so.getPackage() == 16, "UMFPACK is not set.")
777     so.setPackage(so.TRILINOS)
778     self.failUnless(so.getPackage() == 24, "TRILINOS is not set.")
779    
780     self.failUnless(so.getSolverMethod() == 0, "initial SolverMethod is wrong.")
781     self.failUnlessRaises(ValueError,so.setSolverMethod,-1)
782     so.setSolverMethod(so.DIRECT)
783     self.failUnless(so.getSolverMethod() == 1, "DIRECT is not set.")
784     so.setSolverMethod(so.CHOLEVSKY)
785     self.failUnless(so.getSolverMethod() == 2, "CHOLEVSKY is not set.")
786     so.setSolverMethod(so.PCG)
787     self.failUnless(so.getSolverMethod() == 3, "PCG is not set.")
788     so.setSolverMethod(so.CR)
789     self.failUnless(so.getSolverMethod() == 4, "CR is not set.")
790     so.setSolverMethod(so.CGS)
791     self.failUnless(so.getSolverMethod() == 5, "CGS is not set.")
792     so.setSolverMethod(so.BICGSTAB)
793     self.failUnless(so.getSolverMethod() == 6, "BICGSTAB is not set.")
794     so.setSolverMethod(so.SSOR)
795     self.failUnless(so.getSolverMethod() == 7, "SSOR is not set.")
796     so.setSolverMethod(so.GMRES)
797     self.failUnless(so.getSolverMethod() == 11, "GMRES is not set.")
798     so.setSolverMethod(so.PRES20)
799     self.failUnless(so.getSolverMethod() == 12, "PRES20 is not set.")
800     so.setSolverMethod(so.LUMPING)
801     self.failUnless(so.getSolverMethod() == 13, "LUMPING is not set.")
802     so.setSolverMethod(so.ITERATIVE)
803     self.failUnless(so.getSolverMethod() == 20, "ITERATIVE is not set.")
804     so.setSolverMethod(so.AMG)
805     self.failUnless(so.getSolverMethod() == 22, "AMG is not set.")
806     so.setSolverMethod(so.NONLINEAR_GMRES)
807     self.failUnless(so.getSolverMethod() == 25, "NONLINEAR_GMRES is not set.")
808     so.setSolverMethod(so.TFQMR)
809     self.failUnless(so.getSolverMethod() == 26, "TFQMR is not set.")
810     so.setSolverMethod(so.MINRES)
811     self.failUnless(so.getSolverMethod() == 27, "MINRES is not set.")
812     so.setSolverMethod(so.GAUSS_SEIDEL)
813     self.failUnless(so.getSolverMethod() == 28, "GAUSS_SEIDEL is not set.")
814     so.setSolverMethod(so.DEFAULT)
815     self.failUnless(so.getSolverMethod() == 0, "DEFAULT is not set.")
816    
817     self.failUnless(so.getPreconditioner() == 10, "initial Preconditioner is wrong.")
818     self.failUnlessRaises(ValueError,so.setPreconditioner,-1)
819     so.setPreconditioner(so.ILU0)
820     self.failUnless(so.getPreconditioner() == 8, "ILU0 is not set.")
821     so.setPreconditioner(so.SSOR)
822     self.failUnless(so.getPreconditioner() == 7, "SSOR is not set.")
823     so.setPreconditioner(so.ILUT)
824     self.failUnless(so.getPreconditioner() == 9, "ILUT is not set.")
825     so.setPreconditioner(so.JACOBI)
826     self.failUnless(so.getPreconditioner() == 10, "JACOBI is not set.")
827     so.setPreconditioner(so.AMG)
828     self.failUnless(so.getPreconditioner() == 22, "AMG is not set.")
829     so.setPreconditioner(so.REC_ILU)
830     self.failUnless(so.getPreconditioner() == 23, "REC_ILU is not set.")
831     so.setPreconditioner(so.GAUSS_SEIDEL)
832     self.failUnless(so.getPreconditioner() == 28, "GAUSS_SEIDEL is not set.")
833     so.setPreconditioner(so.RILU)
834     self.failUnless(so.getPreconditioner() == 29, "RILU is not set.")
835     so.setPreconditioner(so.NO_PRECONDITIONER)
836     self.failUnless(so.getPreconditioner() == 36, "NO_PRECONDITIONER is not set.")
837    
838     self.failUnless(so.getCoarsening() == 0, "initial Coarseningr is wrong.")
839     self.failUnlessRaises(ValueError,so.setCoarsening,-1)
840     so.setCoarsening(so.YAIR_SHAPIRA_COARSENING)
841     self.failUnless(so.getCoarsening() == 33, "YAIR_SHAPIRA_COARSENING is not set.")
842     so.setCoarsening(so.RUGE_STUEBEN_COARSENING)
843     self.failUnless(so.getCoarsening() == 34, "RUGE_STUEBEN_COARSENING is not set.")
844     so.setCoarsening(so.AGGREGATION_COARSENING)
845     self.failUnless(so.getCoarsening() == 35, "AGREGATION_COARSENING is not set.")
846     so.setCoarsening(so.DEFAULT)
847     self.failUnless(so.getCoarsening() == 0, "DEFAULT is not set.")
848    
849     self.failUnless(so.getDiagnostics("num_iter") == None, "initial num_iter is wrong.")
850     self.failUnless(so.getDiagnostics("num_inner_iter") == None, "initial num_inner_iter is wrong.")
851     self.failUnless(so.getDiagnostics("time") == None, "initial time is wrong.")
852     self.failUnless(so.getDiagnostics("set_up_time") == None, "initial set_up_time is wrong.")
853     self.failUnless(so.getDiagnostics("residual_norm") == None, "initial residual_norm is wrong.")
854     self.failUnless(so.getDiagnostics("converged") == None, "initial converged is wrong.")
855     self.failUnless(so.hasConverged() == None, "initial convergence flag is wrong.")
856     self.failUnless(so.getDiagnostics("cum_num_inner_iter") == 0, "initial cum_num_inner_iter is wrong.")
857     self.failUnless(so.getDiagnostics("cum_num_iter") == 0, "initial cum_num_iter is wrong.")
858     self.failUnless(so.getDiagnostics("cum_time") ==0, "initial cum_time is wrong.")
859     self.failUnless(so.getDiagnostics("cum_set_up_time") == 0, "initial cum_set_up_time is wrong.")
860    
861     so._updateDiagnostics("num_iter",1)
862     so._updateDiagnostics("num_inner_iter",2)
863     so._updateDiagnostics("time",3)
864     so._updateDiagnostics("set_up_time",4)
865     so._updateDiagnostics("residual_norm",5)
866     so._updateDiagnostics("converged",True)
867    
868     self.failUnless(so.getDiagnostics("num_iter") == 1, "num_iter is wrong.")
869     self.failUnless(so.getDiagnostics("num_inner_iter") == 2, "num_inner_iter is wrong.")
870     self.failUnless(so.getDiagnostics("time") == 3, "time is wrong.")
871     self.failUnless(so.getDiagnostics("set_up_time") == 4, "set_up_time is wrong.")
872     self.failUnless(so.getDiagnostics("residual_norm") == 5, "residual_norm is wrong.")
873     self.failUnless(so.getDiagnostics("converged"), "converged is wrong.")
874     self.failUnless(so.hasConverged(), "convergence flag is wrong.")
875     self.failUnless(so.getDiagnostics("cum_num_inner_iter") == 2, "cum_num_inner_iter is wrong.")
876     self.failUnless(so.getDiagnostics("cum_num_iter") == 1, "cum_num_iter is wrong.")
877     self.failUnless(so.getDiagnostics("cum_time") ==3, "cum_time is wrong.")
878     self.failUnless(so.getDiagnostics("cum_set_up_time") == 4, "cum_set_up_time is wrong.")
879    
880     so.resetDiagnostics()
881     self.failUnless(so.getDiagnostics("num_iter") == None, "initial num_iter is wrong.")
882     self.failUnless(so.getDiagnostics("num_inner_iter") == None, "initial num_inner_iter is wrong.")
883     self.failUnless(so.getDiagnostics("time") == None, "initial time is wrong.")
884     self.failUnless(so.getDiagnostics("set_up_time") == None, "initial set_up_time is wrong.")
885     self.failUnless(so.getDiagnostics("residual_norm") == None, "initial residual_norm is wrong.")
886     self.failUnless(so.getDiagnostics("converged") == None, "initial converged is wrong.")
887     self.failUnless(so.hasConverged() == None, "initial convergence flag is wrong")
888     self.failUnless(so.getDiagnostics("cum_num_inner_iter") == 2, "cum_num_inner_iter is wrong.")
889     self.failUnless(so.getDiagnostics("cum_num_iter") == 1, "cum_num_iter is wrong.")
890     self.failUnless(so.getDiagnostics("cum_time") ==3, "cum_time is wrong.")
891     self.failUnless(so.getDiagnostics("cum_set_up_time") == 4, "cum_set_up_time is wrong.")
892    
893     so._updateDiagnostics("num_iter",10)
894     so._updateDiagnostics("num_inner_iter",20)
895     so._updateDiagnostics("time",30)
896     so._updateDiagnostics("set_up_time",40)
897     so._updateDiagnostics("residual_norm",50)
898     so._updateDiagnostics("converged",False)
899    
900     self.failUnless(so.getDiagnostics("num_iter") == 10, "num_iter is wrong.")
901     self.failUnless(so.getDiagnostics("num_inner_iter") == 20, "num_inner_iter is wrong.")
902     self.failUnless(so.getDiagnostics("time") == 30, "time is wrong.")
903     self.failUnless(so.getDiagnostics("set_up_time") == 40, "set_up_time is wrong.")
904     self.failUnless(so.getDiagnostics("residual_norm") == 50, "residual_norm is wrong.")
905     self.failUnless(not so.getDiagnostics("converged"), "converged is wrong.")
906     self.failUnless(not so.hasConverged(), "convergence flag is wrong.")
907     self.failUnless(so.getDiagnostics("cum_num_inner_iter") == 22, "cum_num_inner_iter is wrong.")
908     self.failUnless(so.getDiagnostics("cum_num_iter") == 11, "cum_num_iter is wrong.")
909     self.failUnless(so.getDiagnostics("cum_time") ==33, "cum_time is wrong.")
910     self.failUnless(so.getDiagnostics("cum_set_up_time") == 44, "cum_set_up_time is wrong.")
911    
912     so.resetDiagnostics(all=True)
913     self.failUnless(so.getDiagnostics("num_iter") == None, "initial num_iter is wrong.")
914     self.failUnless(so.getDiagnostics("num_inner_iter") == None, "initial num_inner_iter is wrong.")
915     self.failUnless(so.getDiagnostics("time") == None, "initial time is wrong.")
916     self.failUnless(so.getDiagnostics("set_up_time") == None, "initial set_up_time is wrong.")
917     self.failUnless(so.getDiagnostics("residual_norm") == None, "initial residual_norm is wrong.")
918     self.failUnless(so.getDiagnostics("converged") == None, "initial converged is wrong.")
919     self.failUnless(so.hasConverged() == None, "initial convergence flag is wrong.")
920     self.failUnless(so.getDiagnostics("cum_num_inner_iter") == 0, "initial cum_num_inner_iter is wrong.")
921     self.failUnless(so.getDiagnostics("cum_num_iter") == 0, "initial cum_num_iter is wrong.")
922     self.failUnless(so.getDiagnostics("cum_time") ==0, "initial cum_time is wrong.")
923     self.failUnless(so.getDiagnostics("cum_set_up_time") == 0, "initial cum_set_up_time is wrong.")
924    
925 jgs 149 def test_setCoefficient_WithIllegalFunctionSpace(self):
926     mypde=LinearPDE(self.domain,debug=self.DEBUG)
927 gross 1859 self.failUnlessRaises(IllegalCoefficientFunctionSpace,mypde.setValue, C=Vector(0.,FunctionOnBoundary(self.domain)))
928    
929     def test_setCoefficient_WithWrongName(self):
930     mypde=LinearPDE(self.domain,debug=self.DEBUG)
931     self.failUnlessRaises(IllegalCoefficient, mypde.setValue, ROMA=0.)
932    
933 jgs 149 def test_resetCoefficient_WithWrongShape(self):
934     mypde=LinearPDE(self.domain,numEquations=2,debug=self.DEBUG)
935 gross 1859 self.failUnlessRaises(IllegalCoefficientValue, mypde.setValue, C=0.)
936    
937 jgs 149 def test_reducedOn(self):
938     mypde=LinearPDE(self.domain,debug=self.DEBUG)
939     x=self.domain.getX()
940     mypde.setReducedOrderOn()
941     mypde.setValue(A=kronecker(self.domain),D=x[0],Y=x[0])
942     u=mypde.getSolution()
943     self.failUnless(self.check(u,1.),'solution is wrong.')
944    
945     def test_attemptToChangeOrderAfterDefinedCoefficient(self):
946     mypde=LinearPDE(self.domain,debug=self.DEBUG)
947     mypde.setValue(D=1.)
948 gross 1859 self.failUnlessRaises(RuntimeError,mypde.setReducedOrderOn)
949 jgs 149
950     def test_reducedOnConfig(self):
951     mypde=LinearPDE(self.domain,debug=self.DEBUG)
952     mypde.setReducedOrderOn()
953     self.failUnlessEqual((mypde.getFunctionSpaceForSolution(),mypde.getFunctionSpaceForEquation()),(ReducedSolution(self.domain),ReducedSolution(self.domain)),"reduced function spaces expected.")
954     #
955     # set coefficients for scalars:
956     #
957     def test_setCoefficient_A_Scalar(self):
958     d=self.domain.getDim()
959     mypde=LinearPDE(self.domain,debug=self.DEBUG)
960 jfenwick 2455 mypde.setValue(A=numpy.ones((d,d)))
961 gross 1841 coeff=mypde.getCoefficient("A")
962 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,d),Function(self.domain),1,1))
963     def test_setCoefficient_B_Scalar(self):
964     d=self.domain.getDim()
965     mypde=LinearPDE(self.domain,debug=self.DEBUG)
966 jfenwick 2455 mypde.setValue(B=numpy.ones((d,)))
967 gross 1841 coeff=mypde.getCoefficient("B")
968 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),Function(self.domain),1,1))
969     def test_setCoefficient_C_Scalar(self):
970     d=self.domain.getDim()
971     mypde=LinearPDE(self.domain,debug=self.DEBUG)
972 jfenwick 2455 mypde.setValue(C=numpy.ones((d,)))
973 gross 1841 coeff=mypde.getCoefficient("C")
974 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),Function(self.domain),1,1))
975     def test_setCoefficient_D_Scalar(self):
976     d=self.domain.getDim()
977     mypde=LinearPDE(self.domain,debug=self.DEBUG)
978     mypde.setValue(D=1.)
979 gross 1841 coeff=mypde.getCoefficient("D")
980 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),Function(self.domain),1,1))
981     def test_setCoefficient_X_Scalar(self):
982     d=self.domain.getDim()
983     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
984 jfenwick 2455 mypde.setValue(X=numpy.ones((d,)))
985 gross 1841 coeff=mypde.getCoefficient("X")
986 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((d,),Function(self.domain),1))
987     def test_setCoefficient_Y_Scalar(self):
988     d=self.domain.getDim()
989     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
990     mypde.setValue(Y=1.)
991 gross 1841 coeff=mypde.getCoefficient("Y")
992 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),Function(self.domain),1))
993     def test_setCoefficient_y_Scalar(self):
994     d=self.domain.getDim()
995     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
996     mypde.setValue(y=1.)
997 gross 1841 coeff=mypde.getCoefficient("y")
998 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),FunctionOnBoundary(self.domain),1))
999     def test_setCoefficient_d_Scalar(self):
1000     d=self.domain.getDim()
1001     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1002     mypde.setValue(d=1.)
1003 gross 1841 coeff=mypde.getCoefficient("d")
1004 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),FunctionOnBoundary(self.domain),1,1))
1005     def test_setCoefficient_d_contact_Scalar(self):
1006     d=self.domain.getDim()
1007     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1008     mypde.setValue(d_contact=1.)
1009 gross 1841 coeff=mypde.getCoefficient("d_contact")
1010 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),FunctionOnContactZero(self.domain),1,1))
1011     def test_setCoefficient_y_contact_Scalar(self):
1012     d=self.domain.getDim()
1013     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1014     mypde.setValue(y_contact=1.)
1015 gross 1841 coeff=mypde.getCoefficient("y_contact")
1016 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),FunctionOnContactZero(self.domain),1))
1017 gross 1072 def test_setCoefficient_A_reduced_Scalar(self):
1018     d=self.domain.getDim()
1019     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1020 jfenwick 2455 mypde.setValue(A_reduced=numpy.ones((d,d)))
1021 gross 1841 coeff=mypde.getCoefficient("A_reduced")
1022 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,d),ReducedFunction(self.domain),1,1))
1023     def test_setCoefficient_B_reduced_Scalar(self):
1024     d=self.domain.getDim()
1025     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1026 jfenwick 2455 mypde.setValue(B_reduced=numpy.ones((d,)))
1027 gross 1841 coeff=mypde.getCoefficient("B_reduced")
1028 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),ReducedFunction(self.domain),1,1))
1029     def test_setCoefficient_C_reduced_Scalar(self):
1030     d=self.domain.getDim()
1031     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1032 jfenwick 2455 mypde.setValue(C_reduced=numpy.ones((d,)))
1033 gross 1841 coeff=mypde.getCoefficient("C_reduced")
1034 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),ReducedFunction(self.domain),1,1))
1035     def test_setCoefficient_D_reduced_Scalar(self):
1036     d=self.domain.getDim()
1037     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1038     mypde.setValue(D_reduced=1.)
1039 gross 1841 coeff=mypde.getCoefficient("D_reduced")
1040 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),ReducedFunction(self.domain),1,1))
1041     def test_setCoefficient_X_reduced_Scalar(self):
1042     d=self.domain.getDim()
1043     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1044 jfenwick 2455 mypde.setValue(X_reduced=numpy.ones((d,)))
1045 gross 1841 coeff=mypde.getCoefficient("X_reduced")
1046 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((d,),ReducedFunction(self.domain),1))
1047     def test_setCoefficient_Y_reduced_Scalar(self):
1048     d=self.domain.getDim()
1049     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1050     mypde.setValue(Y_reduced=1.)
1051 gross 1841 coeff=mypde.getCoefficient("Y_reduced")
1052 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),ReducedFunction(self.domain),1))
1053     def test_setCoefficient_y_reduced_Scalar(self):
1054     d=self.domain.getDim()
1055     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1056     mypde.setValue(y_reduced=1.)
1057 gross 1841 coeff=mypde.getCoefficient("y_reduced")
1058 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),ReducedFunctionOnBoundary(self.domain),1))
1059     def test_setCoefficient_d_reduced_Scalar(self):
1060     d=self.domain.getDim()
1061     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1062     mypde.setValue(d_reduced=1.)
1063 gross 1841 coeff=mypde.getCoefficient("d_reduced")
1064 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),ReducedFunctionOnBoundary(self.domain),1,1))
1065     def test_setCoefficient_d_contact_reduced_Scalar(self):
1066     d=self.domain.getDim()
1067     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1068     mypde.setValue(d_contact_reduced=1.)
1069 gross 1841 coeff=mypde.getCoefficient("d_contact_reduced")
1070 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),ReducedFunctionOnContactZero(self.domain),1,1))
1071     def test_setCoefficient_y_contact_reduced_Scalar(self):
1072     d=self.domain.getDim()
1073     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1074     mypde.setValue(y_contact_reduced=1.)
1075 gross 1841 coeff=mypde.getCoefficient("y_contact_reduced")
1076 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),ReducedFunctionOnContactZero(self.domain),1))
1077 jgs 149 def test_setCoefficient_r_Scalar(self):
1078     d=self.domain.getDim()
1079     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1080     mypde.setValue(r=1.)
1081 gross 1841 coeff=mypde.getCoefficient("r")
1082 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),Solution(self.domain),1))
1083     def test_setCoefficient_q_Scalar(self):
1084     d=self.domain.getDim()
1085     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1086     mypde.setValue(q=1.)
1087 gross 1841 coeff=mypde.getCoefficient("q")
1088 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),Solution(self.domain),1))
1089     def test_setCoefficient_r_Scalar_reducedOn(self):
1090     d=self.domain.getDim()
1091     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1092     mypde.setReducedOrderOn()
1093     mypde.setValue(r=1.)
1094 gross 1841 coeff=mypde.getCoefficient("r")
1095 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),ReducedSolution(self.domain),1))
1096     def test_setCoefficient_q_Scalar_reducedOn(self):
1097     d=self.domain.getDim()
1098     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1099     mypde.setReducedOrderOn()
1100     mypde.setValue(q=1.)
1101 gross 1841 coeff=mypde.getCoefficient("q")
1102 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),ReducedSolution(self.domain),1))
1103    
1104 gross 1072 def test_setCoefficient_A_reduced_Scalar_usingA(self):
1105     d=self.domain.getDim()
1106     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1107 jfenwick 2455 mypde.setValue(A=Data(numpy.ones((d,d)),ReducedFunction(self.domain)))
1108 gross 1841 coeff=mypde.getCoefficient("A_reduced")
1109 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,d),ReducedFunction(self.domain),1,1))
1110     def test_setCoefficient_B_reduced_Scalar_usingB(self):
1111     d=self.domain.getDim()
1112     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1113 jfenwick 2455 mypde.setValue(B=Data(numpy.ones((d,)),ReducedFunction(self.domain)))
1114 gross 1841 coeff=mypde.getCoefficient("B_reduced")
1115 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),ReducedFunction(self.domain),1,1))
1116     def test_setCoefficient_C_reduced_Scalar_usingC(self):
1117     d=self.domain.getDim()
1118     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1119 jfenwick 2455 mypde.setValue(C=Data(numpy.ones((d,)),ReducedFunction(self.domain)))
1120 gross 1841 coeff=mypde.getCoefficient("C_reduced")
1121 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),ReducedFunction(self.domain),1,1))
1122     def test_setCoefficient_D_reduced_Scalar_usingD(self):
1123     d=self.domain.getDim()
1124     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1125     mypde.setValue(D=Scalar(1.,ReducedFunction(self.domain)))
1126 gross 1841 coeff=mypde.getCoefficient("D_reduced")
1127 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),ReducedFunction(self.domain),1,1))
1128     def test_setCoefficient_X_reduced_Scalar_usingX(self):
1129     d=self.domain.getDim()
1130     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1131 jfenwick 2455 mypde.setValue(X_reduced=Data(numpy.ones((d,)),ReducedFunction(self.domain)))
1132 gross 1841 coeff=mypde.getCoefficient("X_reduced")
1133 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((d,),ReducedFunction(self.domain),1))
1134     def test_setCoefficient_Y_reduced_Scalar_usingY(self):
1135     d=self.domain.getDim()
1136     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1137     mypde.setValue(Y=Scalar(1.,ReducedFunction(self.domain)))
1138 gross 1841 coeff=mypde.getCoefficient("Y_reduced")
1139 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),ReducedFunction(self.domain),1))
1140     def test_setCoefficient_y_reduced_Scalar_using_y(self):
1141     d=self.domain.getDim()
1142     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1143     mypde.setValue(y=Scalar(1.,ReducedFunctionOnBoundary(self.domain)))
1144 gross 1841 coeff=mypde.getCoefficient("y_reduced")
1145 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),ReducedFunctionOnBoundary(self.domain),1))
1146     def test_setCoefficient_d_reduced_Scalar_using_d(self):
1147     d=self.domain.getDim()
1148     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1149     mypde.setValue(d=Scalar(1.,ReducedFunctionOnBoundary(self.domain)))
1150 gross 1841 coeff=mypde.getCoefficient("d_reduced")
1151 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),ReducedFunctionOnBoundary(self.domain),1,1))
1152     def test_setCoefficient_d_contact_reduced_Scalar_using_d_contact(self):
1153     d=self.domain.getDim()
1154     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1155     mypde.setValue(d_contact=Scalar(1.,ReducedFunctionOnContactZero(self.domain)))
1156 gross 1841 coeff=mypde.getCoefficient("d_contact_reduced")
1157 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),ReducedFunctionOnContactZero(self.domain),1,1))
1158     def test_setCoefficient_y_contact_reduced_Scalar_using_y_contact(self):
1159     d=self.domain.getDim()
1160     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1161     mypde.setValue(y_contact=Scalar(1.,ReducedFunctionOnContactZero(self.domain)))
1162 gross 1841 coeff=mypde.getCoefficient("y_contact_reduced")
1163 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),ReducedFunctionOnContactZero(self.domain),1))
1164 jgs 149 #
1165     # set coefficients for systems:
1166     #
1167     def test_setCoefficient_A_System(self):
1168     d=self.domain.getDim()
1169     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1170 jfenwick 2455 mypde.setValue(A=numpy.ones((self.N,d,self.N,d)))
1171 gross 1841 coeff=mypde.getCoefficient("A")
1172 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N,d),Function(self.domain),self.N,self.N))
1173     def test_setCoefficient_B_System(self):
1174     d=self.domain.getDim()
1175     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1176 jfenwick 2455 mypde.setValue(B=numpy.ones((self.N,d,self.N)))
1177 gross 1841 coeff=mypde.getCoefficient("B")
1178 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N),Function(self.domain),self.N,self.N))
1179     def test_setCoefficient_C_System(self):
1180     d=self.domain.getDim()
1181     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1182 jfenwick 2455 mypde.setValue(C=numpy.ones((self.N,self.N,d)))
1183 gross 1841 coeff=mypde.getCoefficient("C")
1184 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N,d),Function(self.domain),self.N,self.N))
1185     def test_setCoefficient_D_System(self):
1186     d=self.domain.getDim()
1187     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1188 jfenwick 2455 mypde.setValue(D=numpy.ones((self.N,self.N)))
1189 gross 1841 coeff=mypde.getCoefficient("D")
1190 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),Function(self.domain),self.N,self.N))
1191     def test_setCoefficient_X_System(self):
1192     d=self.domain.getDim()
1193     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1194 jfenwick 2455 mypde.setValue(X=numpy.ones((self.N,d)))
1195 gross 1841 coeff=mypde.getCoefficient("X")
1196 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,d),Function(self.domain),self.N))
1197     def test_setCoefficient_Y_System(self):
1198     d=self.domain.getDim()
1199     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1200 jfenwick 2455 mypde.setValue(Y=numpy.ones((self.N,)))
1201 gross 1841 coeff=mypde.getCoefficient("Y")
1202 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),Function(self.domain),self.N))
1203     def test_setCoefficient_y_System(self):
1204     d=self.domain.getDim()
1205     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1206 jfenwick 2455 mypde.setValue(y=numpy.ones((self.N,)))
1207 gross 1841 coeff=mypde.getCoefficient("y")
1208 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),FunctionOnBoundary(self.domain),self.N))
1209     def test_setCoefficient_d_System(self):
1210     d=self.domain.getDim()
1211     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1212 jfenwick 2455 mypde.setValue(d=numpy.ones((self.N,self.N)))
1213 gross 1841 coeff=mypde.getCoefficient("d")
1214 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),FunctionOnBoundary(self.domain),self.N,self.N))
1215     def test_setCoefficient_d_contact_System(self):
1216     d=self.domain.getDim()
1217     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1218 jfenwick 2455 mypde.setValue(d_contact=numpy.ones((self.N,self.N)))
1219 gross 1841 coeff=mypde.getCoefficient("d_contact")
1220 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),FunctionOnContactZero(self.domain),self.N,self.N))
1221     def test_setCoefficient_y_contact_System(self):
1222     d=self.domain.getDim()
1223     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1224 jfenwick 2455 mypde.setValue(y_contact=numpy.ones((self.N,)))
1225 gross 1841 coeff=mypde.getCoefficient("y_contact")
1226 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),FunctionOnContactZero(self.domain),self.N))
1227 gross 1072 def test_setCoefficient_A_reduced_System(self):
1228     d=self.domain.getDim()
1229     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1230 jfenwick 2455 mypde.setValue(A_reduced=numpy.ones((self.N,d,self.N,d)))
1231 gross 1841 coeff=mypde.getCoefficient("A_reduced")
1232 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N,d),ReducedFunction(self.domain),self.N,self.N))
1233     def test_setCoefficient_B_reduced_System(self):
1234     d=self.domain.getDim()
1235     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1236 jfenwick 2455 mypde.setValue(B_reduced=numpy.ones((self.N,d,self.N)))
1237 gross 1841 coeff=mypde.getCoefficient("B_reduced")
1238 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N),ReducedFunction(self.domain),self.N,self.N))
1239     def test_setCoefficient_C_reduced_System(self):
1240     d=self.domain.getDim()
1241     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1242 jfenwick 2455 mypde.setValue(C_reduced=numpy.ones((self.N,self.N,d)))
1243 gross 1841 coeff=mypde.getCoefficient("C_reduced")
1244 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N,d),ReducedFunction(self.domain),self.N,self.N))
1245     def test_setCoefficient_D_System_reduced(self):
1246     d=self.domain.getDim()
1247     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1248 jfenwick 2455 mypde.setValue(D_reduced=numpy.ones((self.N,self.N)))
1249 gross 1841 coeff=mypde.getCoefficient("D_reduced")
1250 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),ReducedFunction(self.domain),self.N,self.N))
1251     def test_setCoefficient_X_System_reduced(self):
1252     d=self.domain.getDim()
1253     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1254 jfenwick 2455 mypde.setValue(X_reduced=numpy.ones((self.N,d)))
1255 gross 1841 coeff=mypde.getCoefficient("X_reduced")
1256 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,d),ReducedFunction(self.domain),self.N))
1257     def test_setCoefficient_Y_System_reduced(self):
1258     d=self.domain.getDim()
1259     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1260 jfenwick 2455 mypde.setValue(Y_reduced=numpy.ones((self.N,)))
1261 gross 1841 coeff=mypde.getCoefficient("Y_reduced")
1262 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),ReducedFunction(self.domain),self.N))
1263     def test_setCoefficient_y_System_reduced(self):
1264     d=self.domain.getDim()
1265     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1266 jfenwick 2455 mypde.setValue(y_reduced=numpy.ones((self.N,)))
1267 gross 1841 coeff=mypde.getCoefficient("y_reduced")
1268 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),ReducedFunctionOnBoundary(self.domain),self.N))
1269     def test_setCoefficient_d_reduced_System(self):
1270     d=self.domain.getDim()
1271     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1272 jfenwick 2455 mypde.setValue(d_reduced=numpy.ones((self.N,self.N)))
1273 gross 1841 coeff=mypde.getCoefficient("d_reduced")
1274 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),ReducedFunctionOnBoundary(self.domain),self.N,self.N))
1275     def test_setCoefficient_d_contact_reduced_System(self):
1276     d=self.domain.getDim()
1277     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1278 jfenwick 2455 mypde.setValue(d_contact_reduced=numpy.ones((self.N,self.N)))
1279 gross 1841 coeff=mypde.getCoefficient("d_contact_reduced")
1280 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),ReducedFunctionOnContactZero(self.domain),self.N,self.N))
1281     def test_setCoefficient_y_contact_reduced_System(self):
1282     d=self.domain.getDim()
1283     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1284 jfenwick 2455 mypde.setValue(y_contact_reduced=numpy.ones((self.N,)))
1285 gross 1841 coeff=mypde.getCoefficient("y_contact_reduced")
1286 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),ReducedFunctionOnContactZero(self.domain),self.N))
1287 jgs 149 def test_setCoefficient_r_System(self):
1288     d=self.domain.getDim()
1289     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1290 jfenwick 2455 mypde.setValue(r=numpy.ones((self.N,)))
1291 gross 1841 coeff=mypde.getCoefficient("r")
1292 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),Solution(self.domain),self.N))
1293     def test_setCoefficient_q_System(self):
1294     d=self.domain.getDim()
1295     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1296 jfenwick 2455 mypde.setValue(q=numpy.ones((self.N,)))
1297 gross 1841 coeff=mypde.getCoefficient("q")
1298 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),Solution(self.domain),self.N))
1299     def test_setCoefficient_r_System_reducedOn(self):
1300     d=self.domain.getDim()
1301     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1302     mypde.setReducedOrderOn()
1303 jfenwick 2455 mypde.setValue(r=numpy.ones((self.N,)))
1304 gross 1841 coeff=mypde.getCoefficient("r")
1305 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),ReducedSolution(self.domain),self.N))
1306     def test_setCoefficient_q_System_reducedOn(self):
1307     d=self.domain.getDim()
1308     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
1309     mypde.setReducedOrderOn()
1310 jfenwick 2455 mypde.setValue(q=numpy.ones((self.N,)))
1311 gross 1841 coeff=mypde.getCoefficient("q")
1312 jgs 149 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),ReducedSolution(self.domain),self.N))
1313    
1314 gross 1072 def test_setCoefficient_A_reduced_System_using_A(self):
1315     d=self.domain.getDim()
1316     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1317 jfenwick 2455 mypde.setValue(A=Data(numpy.ones((self.N,d,self.N,d)),ReducedFunction(self.domain)))
1318 gross 1841 coeff=mypde.getCoefficient("A_reduced")
1319 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N,d),ReducedFunction(self.domain),self.N,self.N))
1320     def test_setCoefficient_B_reduced_System_using_B(self):
1321     d=self.domain.getDim()
1322     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1323 jfenwick 2455 mypde.setValue(B=Data(numpy.ones((self.N,d,self.N)),ReducedFunction(self.domain)))
1324 gross 1841 coeff=mypde.getCoefficient("B_reduced")
1325 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N),ReducedFunction(self.domain),self.N,self.N))
1326     def test_setCoefficient_C_reduced_System_using_C(self):
1327     d=self.domain.getDim()
1328     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1329 jfenwick 2455 mypde.setValue(C=Data(numpy.ones((self.N,self.N,d)),ReducedFunction(self.domain)))
1330 gross 1841 coeff=mypde.getCoefficient("C_reduced")
1331 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N,d),ReducedFunction(self.domain),self.N,self.N))
1332     def test_setCoefficient_D_System_reduced_using_D(self):
1333     d=self.domain.getDim()
1334     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1335 jfenwick 2455 mypde.setValue(D=Data(numpy.ones((self.N,self.N)),ReducedFunction(self.domain)))
1336 gross 1841 coeff=mypde.getCoefficient("D_reduced")
1337 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),ReducedFunction(self.domain),self.N,self.N))
1338     def test_setCoefficient_X_System_reduced_using_X(self):
1339     d=self.domain.getDim()
1340     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1341 jfenwick 2455 mypde.setValue(X=Data(numpy.ones((self.N,d)),ReducedFunction(self.domain)))
1342 gross 1841 coeff=mypde.getCoefficient("X_reduced")
1343 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,d),ReducedFunction(self.domain),self.N))
1344     def test_setCoefficient_Y_System_reduced_using_Y(self):
1345     d=self.domain.getDim()
1346     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1347 jfenwick 2455 mypde.setValue(Y=Data(numpy.ones((self.N,)),ReducedFunction(self.domain)))
1348 gross 1841 coeff=mypde.getCoefficient("Y_reduced")
1349 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),ReducedFunction(self.domain),self.N))
1350     def test_setCoefficient_y_reduced_System_using_y(self):
1351     d=self.domain.getDim()
1352     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1353 jfenwick 2455 mypde.setValue(y=Data(numpy.ones((self.N,)),ReducedFunctionOnBoundary(self.domain)))
1354 gross 1841 coeff=mypde.getCoefficient("y_reduced")
1355 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),ReducedFunctionOnBoundary(self.domain),self.N))
1356     def test_setCoefficient_d_reduced_System_using_d(self):
1357     d=self.domain.getDim()
1358     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1359 jfenwick 2455 mypde.setValue(d=Data(numpy.ones((self.N,self.N)),ReducedFunctionOnBoundary(self.domain)))
1360 gross 1841 coeff=mypde.getCoefficient("d_reduced")
1361 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),ReducedFunctionOnBoundary(self.domain),self.N,self.N))
1362     def test_setCoefficient_d_contact_reduced_System_using_d_contact(self):
1363     d=self.domain.getDim()
1364     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1365 jfenwick 2455 mypde.setValue(d_contact=Data(numpy.ones((self.N,self.N)),ReducedFunctionOnContactZero(self.domain)))
1366 gross 1841 coeff=mypde.getCoefficient("d_contact_reduced")
1367 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),ReducedFunctionOnContactZero(self.domain),self.N,self.N))
1368     def test_setCoefficient_y_contact_reduced_System_using_y_contact(self):
1369     d=self.domain.getDim()
1370     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
1371 jfenwick 2455 mypde.setValue(y_contact=Data(numpy.ones((self.N,)),ReducedFunctionOnContactZero(self.domain)))
1372 gross 1841 coeff=mypde.getCoefficient("y_contact_reduced")
1373 gross 1072 self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),ReducedFunctionOnContactZero(self.domain),self.N))
1374 jgs 149 def test_resetCoefficient_HomogeneousConstraint(self):
1375     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1376     x=self.domain.getX()
1377 gross 304 mypde.setValue(A=kronecker(self.domain),Y=1.,q=whereZero(x[0]))
1378 jgs 149 u1=mypde.getSolution()
1379     mypde.setValue(Y=2.)
1380     u2=mypde.getSolution()
1381     self.failUnless(self.check(u2,2*u1),'solution is wrong.')
1382    
1383     def test_resetCoefficient_InHomogeneousConstraint(self):
1384     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1385 jgs 154 mypde.setSymmetryOn()
1386 jgs 149 x=self.domain.getX()
1387 gross 304 mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.,r=1,q=whereZero(x[0]))
1388 jgs 154 u1=mypde.getSolution(verbose=self.VERBOSE)
1389 jgs 149 mypde.setValue(Y=2.,D=2)
1390 jgs 154 u2=mypde.getSolution(verbose=self.VERBOSE)
1391     self.failUnless(self.check(u2,u1),'first solution is wrong.')
1392     u2=mypde.getSolution(verbose=self.VERBOSE)
1393     self.failUnless(self.check(u2,u1),'first solution is wrong.')
1394 jgs 149 mypde.setValue(r=2,Y=4.)
1395 jgs 154 u2=mypde.getSolution(verbose=self.VERBOSE)
1396     self.failUnless(self.check(u2,2*u1),'second solution is wrong.')
1397 jgs 149
1398     def test_symmetryCheckTrue_System(self):
1399     d=self.domain.getDim()
1400     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1401 jfenwick 2455 A=numpy.ones((self.N,d,self.N,d))
1402     C=2*numpy.ones((self.N,self.N,d))
1403     B=2*numpy.ones((self.N,d,self.N))
1404     D=3*numpy.ones((self.N,self.N))
1405     d=4*numpy.ones((self.N,self.N))
1406     d_contact=5*numpy.ones((self.N,self.N))
1407 gross 1072 mypde.setValue(A=A,B=B,C=C,D=D,d=d,d_contact=d_contact,A_reduced=-A,B_reduced=-B,C_reduced=-C,D_reduced=-D,d_reduced=-d,d_contact_reduced=-d_contact)
1408 jgs 149 self.failUnless(mypde.checkSymmetry(verbose=False),"symmetry detected")
1409    
1410     def test_symmetryCheckFalse_A_System(self):
1411     d=self.domain.getDim()
1412     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1413 jfenwick 2455 A=numpy.ones((self.N,d,self.N,d))
1414 jgs 149 A[1,1,1,0]=0.
1415     mypde.setValue(A=A)
1416     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1417     def test_symmetryCheckFalse_BC_System(self):
1418     d=self.domain.getDim()
1419     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1420 jfenwick 2455 C=2*numpy.ones((self.N,self.N,d))
1421     B=2*numpy.ones((self.N,d,self.N))
1422 jgs 149 B[0,0,1]=1.
1423     mypde.setValue(B=B,C=C)
1424     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1425    
1426     def test_symmetryCheckFalse_D_System(self):
1427     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1428 jfenwick 2455 D=3*numpy.ones((self.N,self.N))
1429 jgs 149 D[0,1]=0.
1430     mypde.setValue(D=D)
1431     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1432    
1433     def test_symmetryCheckFalse_d_System(self):
1434     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1435 jfenwick 2455 d=4*numpy.ones((self.N,self.N))
1436 jgs 149 d[0,1]=0.
1437     mypde.setValue(d=d)
1438     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1439    
1440     def test_symmetryCheckFalse_d_contact_System(self):
1441     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1442 jfenwick 2455 d_contact=5*numpy.ones((self.N,self.N))
1443 jgs 149 d_contact[0,1]=0.
1444     mypde.setValue(d_contact=d_contact)
1445     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1446    
1447 gross 1072 def test_symmetryCheckFalse_A_reduced_System(self):
1448     d=self.domain.getDim()
1449     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1450 jfenwick 2455 A=numpy.ones((self.N,d,self.N,d))
1451 gross 1072 A[1,1,1,0]=0.
1452     mypde.setValue(A_reduced=A)
1453     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1454     def test_symmetryCheckFalse_BC_reduced_System(self):
1455     d=self.domain.getDim()
1456     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1457 jfenwick 2455 C=2*numpy.ones((self.N,self.N,d))
1458     B=2*numpy.ones((self.N,d,self.N))
1459 gross 1072 B[0,0,1]=1.
1460     mypde.setValue(B_reduced=B,C_reduced=C)
1461     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1462    
1463     def test_symmetryCheckFalse_D_reduced_System(self):
1464     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1465 jfenwick 2455 D=3*numpy.ones((self.N,self.N))
1466 gross 1072 D[0,1]=0.
1467     mypde.setValue(D_reduced=D)
1468     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1469    
1470     def test_symmetryCheckFalse_d_reduced_System(self):
1471     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1472 jfenwick 2455 d=4*numpy.ones((self.N,self.N))
1473 gross 1072 d[0,1]=0.
1474     mypde.setValue(d_reduced=d)
1475     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1476    
1477     def test_symmetryCheckFalse_d_contact_reduced_System(self):
1478     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1479 jfenwick 2455 d_contact=5*numpy.ones((self.N,self.N))
1480 gross 1072 d_contact[0,1]=0.
1481     mypde.setValue(d_contact_reduced=d_contact)
1482     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
1483    
1484 jgs 149 def test_symmetryCheckTrue_Scalar(self):
1485     d=self.domain.getDim()
1486     mypde=LinearPDE(self.domain,debug=self.DEBUG)
1487 jfenwick 2455 A=numpy.ones((d,d))
1488     C=2*numpy.ones((d,))
1489     B=2*numpy.ones((d,))
1490 jgs 149 D=3
1491     d=4
1492     d_contact=5
1493 gross 1072 mypde.setValue(A=A,B=B,C=C,D=D,d=d,d_contact=d_contact,A_reduced=-A,B_reduced=-B,C_reduced=-C,D_reduced=-D,d_reduced=-d,d_contact_reduced=-d_contact)
1494 jgs 149 self.failUnless(mypde.checkSymmetry(verbose=False),"symmetry detected")
1495    
1496     def test_symmetryCheckFalse_A_Scalar(self):
1497     d=self.domain.getDim()
1498     mypde=LinearPDE(self.domain,debug