/[escript]/trunk/escriptcore/test/python/test_linearPDEs.py
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Revision 153 - (hide annotations)
Tue Oct 25 01:51:20 2005 UTC (13 years, 10 months ago) by jgs
Original Path: trunk/esys2/escript/py_src/test_linearPDEs.py
File MIME type: text/x-python
File size: 29754 byte(s)
Merge of development branch dev-02 back to main trunk on 2005-10-25

1 jgs 149 # $Id$
2    
3     """
4     Test suite for linearPDEs class
5    
6     The tests must be linked with a Domain class object in the setUp method:
7    
8     from esys.finley import Rectangle
9     class Test_LinearPDEOnFinley(Test_LinearPDE):
10     def setUp(self):
11     self.domain = Rectangle(10,10,2)
12     suite = unittest.TestSuite()
13     suite.addTest(unittest.makeSuite(Test_LinearPDEOnFinley))
14     unittest.TextTestRunner(verbosity=2).run(suite)
15    
16     """
17    
18     __author__="Lutz Gross, l.gross@uq.edu.au"
19     __licence__="contact: esys@access.uq.edu.au"
20     __url__="http://www.iservo.edu.au/esys/escript"
21     __version__="$Revision$"
22     __date__="$Date$"
23    
24    
25    
26     from esys.escript.util import Lsup,kronecker,interpolate
27     from esys.escript import Function,FunctionOnBoundary,FunctionOnContactZero,Solution,ReducedSolution,Vector,ContinuousFunction,Scalar
28     from esys.escript.linearPDEs import LinearPDE,IllegalCoefficientValue,Poisson
29     import numarray
30     import unittest
31    
32     class Test_linearPDEs(unittest.TestCase):
33     TOL=1.e-6
34 jgs 153 SOLVER_TOL=1.e-10
35 jgs 149 DEBUG=False
36     VERBOSE=False
37     def check(self,arg,ref_arg,tol=None):
38     """
39     checks if arg and ref_arg are nearly identical using the L{Lsup<esys.escript.util.Lsup>}
40     """
41     if tol==None: tol=self.TOL
42     return Lsup(arg-ref_arg)<=tol*Lsup(ref_arg)
43    
44     class Test_Poisson(Test_linearPDEs):
45    
46     def test_config(self):
47     mypde=Poisson(self.domain,debug=self.DEBUG)
48     self.failUnlessEqual((mypde.getNumEquations(),mypde.getNumSolutions(),mypde.isSymmetric()),(1,1,True),"set up incorrect")
49     def test_setCoefficient_q(self):
50     mypde=Poisson(self.domain,debug=self.DEBUG)
51     x=self.domain.getX()
52     q_ref=interpolate(x[0].whereZero(),Solution(self.domain))
53     A_ref=kronecker(self.domain)
54     mypde.setValue(q=x[0].whereZero())
55     self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("A"),A_ref),"A is not kronecker")
56     self.failUnless(mypde.getCoefficientOfGeneralPDE("B").isEmpty(),"B is not empty")
57     self.failUnless(mypde.getCoefficientOfGeneralPDE("C").isEmpty(),"C is not empty")
58     self.failUnless(mypde.getCoefficientOfGeneralPDE("D").isEmpty(),"D is not empty")
59     self.failUnless(mypde.getCoefficientOfGeneralPDE("X").isEmpty(),"X is not empty")
60     self.failUnless(mypde.getCoefficientOfGeneralPDE("Y").isEmpty(),"Y is not empty")
61     self.failUnless(mypde.getCoefficientOfGeneralPDE("y").isEmpty(),"y is not empty")
62     self.failUnless(mypde.getCoefficientOfGeneralPDE("d").isEmpty(),"d is not empty")
63     self.failUnless(mypde.getCoefficientOfGeneralPDE("d_contact").isEmpty(),"d_contact is not empty")
64     self.failUnless(mypde.getCoefficientOfGeneralPDE("y_contact").isEmpty(),"y_contact is not empty")
65     self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("q"),q_ref),"q is not empty")
66     self.failUnless(mypde.getCoefficientOfGeneralPDE("r").isEmpty(),"r is not empty")
67     def test_setCoefficient_f(self):
68     mypde=Poisson(self.domain,debug=self.DEBUG)
69     x=self.domain.getX()
70     Y_ref=interpolate(x[0],Function(self.domain))
71     A_ref=kronecker(self.domain)
72     mypde.setValue(f=x[0])
73     self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("A"),A_ref),"A is not kronecker")
74     self.failUnless(mypde.getCoefficientOfGeneralPDE("B").isEmpty(),"B is not empty")
75     self.failUnless(mypde.getCoefficientOfGeneralPDE("C").isEmpty(),"C is not empty")
76     self.failUnless(mypde.getCoefficientOfGeneralPDE("D").isEmpty(),"D is not empty")
77     self.failUnless(mypde.getCoefficientOfGeneralPDE("X").isEmpty(),"X is not empty")
78     self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("Y"),Y_ref),"Y is not x[0]")
79     self.failUnless(mypde.getCoefficientOfGeneralPDE("y").isEmpty(),"y is not empty")
80     self.failUnless(mypde.getCoefficientOfGeneralPDE("d").isEmpty(),"d is not empty")
81     self.failUnless(mypde.getCoefficientOfGeneralPDE("d_contact").isEmpty(),"d_contact is not empty")
82     self.failUnless(mypde.getCoefficientOfGeneralPDE("y_contact").isEmpty(),"y_contact is not empty")
83     self.failUnless(mypde.getCoefficientOfGeneralPDE("q").isEmpty(),"q is not empty")
84     self.failUnless(mypde.getCoefficientOfGeneralPDE("r").isEmpty(),"r is not empty")
85     def test_solve(self):
86     d=self.domain.getDim()
87     cf=ContinuousFunction(self.domain)
88     x=cf.getX()
89     #construct exact solution:
90     u_ex=Scalar(1.,cf)
91     for i in range(d):
92     u_ex*=x[i]*(2.-x[i])
93     #construct mask:
94     msk=Scalar(0.,cf)
95     for i in range(d):
96     msk+=x[i].whereZero()
97     #construct right hand side
98     f=Scalar(0,cf)
99     for i in range(d):
100     f_p=Scalar(1,cf)
101     for j in range(d):
102     if i==j:
103     f_p*=2.
104     else:
105     f_p*=x[j]*(2-x[j])
106     f+=f_p
107     mypde=Poisson(self.domain)
108     mypde.setValue(f=f,q=msk)
109     u=mypde.getSolution()
110     self.failUnless(self.check(u,u_ex,10*self.TOL),"incorrect solution")
111    
112     class Test_LinearPDE(Test_linearPDEs):
113     N=4
114     def test_setCoefficient_WithIllegalFunctionSpace(self):
115     mypde=LinearPDE(self.domain,debug=self.DEBUG)
116     try:
117     success=True
118     mypde.setValue(C=Vector(0.,FunctionOnBoundary(self.domain)))
119     except IllegalCoefficientValue:
120     success=False
121     self.failUnless(not success,'inapropraite function space accepted')
122    
123     def test_resetCoefficient_WithWrongShape(self):
124     mypde=LinearPDE(self.domain,numEquations=2,debug=self.DEBUG)
125     try:
126     success=True
127     mypde.setValue(C=0.)
128     except IllegalCoefficientValue:
129     success=False
130     self.failUnless(not success,'illegal shape accepted')
131     def test_reducedOn(self):
132     mypde=LinearPDE(self.domain,debug=self.DEBUG)
133     x=self.domain.getX()
134     mypde.setReducedOrderOn()
135     mypde.setValue(A=kronecker(self.domain),D=x[0],Y=x[0])
136     u=mypde.getSolution()
137     self.failUnless(self.check(u,1.),'solution is wrong.')
138    
139     def test_attemptToChangeOrderAfterDefinedCoefficient(self):
140     mypde=LinearPDE(self.domain,debug=self.DEBUG)
141     mypde.setValue(D=1.)
142     try:
143     success=True
144     mypde.setReducedOrderOn()
145     except RuntimeError:
146     success=False
147     self.failUnless(not success,'alterion of order after coefficient is changed not detected.')
148    
149     def test_reducedOnConfig(self):
150     mypde=LinearPDE(self.domain,debug=self.DEBUG)
151     mypde.setReducedOrderOn()
152     self.failUnlessEqual((mypde.getFunctionSpaceForSolution(),mypde.getFunctionSpaceForEquation()),(ReducedSolution(self.domain),ReducedSolution(self.domain)),"reduced function spaces expected.")
153     #
154     # set coefficients for scalars:
155     #
156     def test_setCoefficient_A_Scalar(self):
157     d=self.domain.getDim()
158     mypde=LinearPDE(self.domain,debug=self.DEBUG)
159     mypde.setValue(A=numarray.ones((d,d)))
160     coeff=mypde.getCoefficientOfGeneralPDE("A")
161     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,d),Function(self.domain),1,1))
162     def test_setCoefficient_B_Scalar(self):
163     d=self.domain.getDim()
164     mypde=LinearPDE(self.domain,debug=self.DEBUG)
165     mypde.setValue(B=numarray.ones((d,)))
166     coeff=mypde.getCoefficientOfGeneralPDE("B")
167     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),Function(self.domain),1,1))
168     def test_setCoefficient_C_Scalar(self):
169     d=self.domain.getDim()
170     mypde=LinearPDE(self.domain,debug=self.DEBUG)
171     mypde.setValue(C=numarray.ones((d,)))
172     coeff=mypde.getCoefficientOfGeneralPDE("C")
173     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),Function(self.domain),1,1))
174     def test_setCoefficient_D_Scalar(self):
175     d=self.domain.getDim()
176     mypde=LinearPDE(self.domain,debug=self.DEBUG)
177     mypde.setValue(D=1.)
178     coeff=mypde.getCoefficientOfGeneralPDE("D")
179     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),Function(self.domain),1,1))
180     def test_setCoefficient_X_Scalar(self):
181     d=self.domain.getDim()
182     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
183     mypde.setValue(X=numarray.ones((d,)))
184     coeff=mypde.getCoefficientOfGeneralPDE("X")
185     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((d,),Function(self.domain),1))
186     def test_setCoefficient_Y_Scalar(self):
187     d=self.domain.getDim()
188     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
189     mypde.setValue(Y=1.)
190     coeff=mypde.getCoefficientOfGeneralPDE("Y")
191     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),Function(self.domain),1))
192     def test_setCoefficient_y_Scalar(self):
193     d=self.domain.getDim()
194     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
195     mypde.setValue(y=1.)
196     coeff=mypde.getCoefficientOfGeneralPDE("y")
197     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),FunctionOnBoundary(self.domain),1))
198     def test_setCoefficient_d_Scalar(self):
199     d=self.domain.getDim()
200     mypde=LinearPDE(self.domain,debug=self.DEBUG)
201     mypde.setValue(d=1.)
202     coeff=mypde.getCoefficientOfGeneralPDE("d")
203     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),FunctionOnBoundary(self.domain),1,1))
204     def test_setCoefficient_d_contact_Scalar(self):
205     d=self.domain.getDim()
206     mypde=LinearPDE(self.domain,debug=self.DEBUG)
207     mypde.setValue(d_contact=1.)
208     coeff=mypde.getCoefficientOfGeneralPDE("d_contact")
209     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),FunctionOnContactZero(self.domain),1,1))
210     def test_setCoefficient_y_contact_Scalar(self):
211     d=self.domain.getDim()
212     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
213     mypde.setValue(y_contact=1.)
214     coeff=mypde.getCoefficientOfGeneralPDE("y_contact")
215     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),FunctionOnContactZero(self.domain),1))
216     def test_setCoefficient_r_Scalar(self):
217     d=self.domain.getDim()
218     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
219     mypde.setValue(r=1.)
220     coeff=mypde.getCoefficientOfGeneralPDE("r")
221     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),Solution(self.domain),1))
222     def test_setCoefficient_q_Scalar(self):
223     d=self.domain.getDim()
224     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
225     mypde.setValue(q=1.)
226     coeff=mypde.getCoefficientOfGeneralPDE("q")
227     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),Solution(self.domain),1))
228     def test_setCoefficient_r_Scalar_reducedOn(self):
229     d=self.domain.getDim()
230     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
231     mypde.setReducedOrderOn()
232     mypde.setValue(r=1.)
233     coeff=mypde.getCoefficientOfGeneralPDE("r")
234     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),ReducedSolution(self.domain),1))
235     def test_setCoefficient_q_Scalar_reducedOn(self):
236     d=self.domain.getDim()
237     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
238     mypde.setReducedOrderOn()
239     mypde.setValue(q=1.)
240     coeff=mypde.getCoefficientOfGeneralPDE("q")
241     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),ReducedSolution(self.domain),1))
242    
243     #
244     # set coefficients for systems:
245     #
246     def test_setCoefficient_A_System(self):
247     d=self.domain.getDim()
248     mypde=LinearPDE(self.domain,debug=self.DEBUG)
249     mypde.setValue(A=numarray.ones((self.N,d,self.N,d)))
250     coeff=mypde.getCoefficientOfGeneralPDE("A")
251     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N,d),Function(self.domain),self.N,self.N))
252     def test_setCoefficient_B_System(self):
253     d=self.domain.getDim()
254     mypde=LinearPDE(self.domain,debug=self.DEBUG)
255     mypde.setValue(B=numarray.ones((self.N,d,self.N)))
256     coeff=mypde.getCoefficientOfGeneralPDE("B")
257     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,d,self.N),Function(self.domain),self.N,self.N))
258     def test_setCoefficient_C_System(self):
259     d=self.domain.getDim()
260     mypde=LinearPDE(self.domain,debug=self.DEBUG)
261     mypde.setValue(C=numarray.ones((self.N,self.N,d)))
262     coeff=mypde.getCoefficientOfGeneralPDE("C")
263     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N,d),Function(self.domain),self.N,self.N))
264     def test_setCoefficient_D_System(self):
265     d=self.domain.getDim()
266     mypde=LinearPDE(self.domain,debug=self.DEBUG)
267     mypde.setValue(D=numarray.ones((self.N,self.N)))
268     coeff=mypde.getCoefficientOfGeneralPDE("D")
269     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),Function(self.domain),self.N,self.N))
270     def test_setCoefficient_X_System(self):
271     d=self.domain.getDim()
272     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
273     mypde.setValue(X=numarray.ones((self.N,d)))
274     coeff=mypde.getCoefficientOfGeneralPDE("X")
275     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,d),Function(self.domain),self.N))
276     def test_setCoefficient_Y_System(self):
277     d=self.domain.getDim()
278     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
279     mypde.setValue(Y=numarray.ones((self.N,)))
280     coeff=mypde.getCoefficientOfGeneralPDE("Y")
281     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),Function(self.domain),self.N))
282     def test_setCoefficient_y_System(self):
283     d=self.domain.getDim()
284     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
285     mypde.setValue(y=numarray.ones((self.N,)))
286     coeff=mypde.getCoefficientOfGeneralPDE("y")
287     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),FunctionOnBoundary(self.domain),self.N))
288     def test_setCoefficient_d_System(self):
289     d=self.domain.getDim()
290     mypde=LinearPDE(self.domain,debug=self.DEBUG)
291     mypde.setValue(d=numarray.ones((self.N,self.N)))
292     coeff=mypde.getCoefficientOfGeneralPDE("d")
293     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),FunctionOnBoundary(self.domain),self.N,self.N))
294     def test_setCoefficient_d_contact_System(self):
295     d=self.domain.getDim()
296     mypde=LinearPDE(self.domain,debug=self.DEBUG)
297     mypde.setValue(d_contact=numarray.ones((self.N,self.N)))
298     coeff=mypde.getCoefficientOfGeneralPDE("d_contact")
299     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((self.N,self.N),FunctionOnContactZero(self.domain),self.N,self.N))
300     def test_setCoefficient_y_contact_System(self):
301     d=self.domain.getDim()
302     mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG)
303     mypde.setValue(y_contact=numarray.ones((self.N,)))
304     coeff=mypde.getCoefficientOfGeneralPDE("y_contact")
305     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((self.N,),FunctionOnContactZero(self.domain),self.N))
306     def test_setCoefficient_r_System(self):
307     d=self.domain.getDim()
308     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
309     mypde.setValue(r=numarray.ones((self.N,)))
310     coeff=mypde.getCoefficientOfGeneralPDE("r")
311     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),Solution(self.domain),self.N))
312     def test_setCoefficient_q_System(self):
313     d=self.domain.getDim()
314     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
315     mypde.setValue(q=numarray.ones((self.N,)))
316     coeff=mypde.getCoefficientOfGeneralPDE("q")
317     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),Solution(self.domain),self.N))
318     def test_setCoefficient_r_System_reducedOn(self):
319     d=self.domain.getDim()
320     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
321     mypde.setReducedOrderOn()
322     mypde.setValue(r=numarray.ones((self.N,)))
323     coeff=mypde.getCoefficientOfGeneralPDE("r")
324     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),ReducedSolution(self.domain),self.N))
325     def test_setCoefficient_q_System_reducedOn(self):
326     d=self.domain.getDim()
327     mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG)
328     mypde.setReducedOrderOn()
329     mypde.setValue(q=numarray.ones((self.N,)))
330     coeff=mypde.getCoefficientOfGeneralPDE("q")
331     self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((self.N,),ReducedSolution(self.domain),self.N))
332    
333     def test_resetCoefficient_HomogeneousConstraint(self):
334     mypde=LinearPDE(self.domain,debug=self.DEBUG)
335     x=self.domain.getX()
336     mypde.setValue(A=kronecker(self.domain),Y=1.,q=x[0].whereZero())
337     u1=mypde.getSolution()
338     mypde.setValue(Y=2.)
339     u2=mypde.getSolution()
340     self.failUnless(self.check(u2,2*u1),'solution is wrong.')
341    
342     def test_resetCoefficient_InHomogeneousConstraint(self):
343     mypde=LinearPDE(self.domain,debug=self.DEBUG)
344     x=self.domain.getX()
345     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.,r=1,q=x[0].whereZero())
346     u1=mypde.getSolution()
347     mypde.setValue(Y=2.,D=2)
348     u2=mypde.getSolution()
349     self.failUnless(self.check(u2,u1),'solution is wrong.')
350     mypde.setValue(r=2,Y=4.)
351     u2=mypde.getSolution()
352     self.failUnless(self.check(u2,2*u1),'solution is wrong.')
353    
354     def test_symmetryCheckTrue_System(self):
355     d=self.domain.getDim()
356     mypde=LinearPDE(self.domain,debug=self.DEBUG)
357     A=numarray.ones((self.N,d,self.N,d))
358     C=2*numarray.ones((self.N,self.N,d))
359     B=2*numarray.ones((self.N,d,self.N))
360     D=3*numarray.ones((self.N,self.N))
361     d=4*numarray.ones((self.N,self.N))
362     d_contact=5*numarray.ones((self.N,self.N))
363     mypde.setValue(A=A,B=B,C=C,D=D,d=d,d_contact=d_contact)
364     self.failUnless(mypde.checkSymmetry(verbose=False),"symmetry detected")
365    
366     def test_symmetryCheckFalse_A_System(self):
367     d=self.domain.getDim()
368     mypde=LinearPDE(self.domain,debug=self.DEBUG)
369     A=numarray.ones((self.N,d,self.N,d))
370     A[1,1,1,0]=0.
371     mypde.setValue(A=A)
372     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
373     def test_symmetryCheckFalse_BC_System(self):
374     d=self.domain.getDim()
375     mypde=LinearPDE(self.domain,debug=self.DEBUG)
376     C=2*numarray.ones((self.N,self.N,d))
377     B=2*numarray.ones((self.N,d,self.N))
378     B[0,0,1]=1.
379     mypde.setValue(B=B,C=C)
380     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
381    
382     def test_symmetryCheckFalse_D_System(self):
383     mypde=LinearPDE(self.domain,debug=self.DEBUG)
384     D=3*numarray.ones((self.N,self.N))
385     D[0,1]=0.
386     mypde.setValue(D=D)
387     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
388    
389     def test_symmetryCheckFalse_d_System(self):
390     mypde=LinearPDE(self.domain,debug=self.DEBUG)
391     d=4*numarray.ones((self.N,self.N))
392     d[0,1]=0.
393     mypde.setValue(d=d)
394     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
395    
396     def test_symmetryCheckFalse_d_contact_System(self):
397     mypde=LinearPDE(self.domain,debug=self.DEBUG)
398     d_contact=5*numarray.ones((self.N,self.N))
399     d_contact[0,1]=0.
400     mypde.setValue(d_contact=d_contact)
401     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
402    
403     def test_symmetryCheckTrue_Scalar(self):
404     d=self.domain.getDim()
405     mypde=LinearPDE(self.domain,debug=self.DEBUG)
406     A=numarray.ones((d,d))
407     C=2*numarray.ones((d,))
408     B=2*numarray.ones((d,))
409     D=3
410     d=4
411     d_contact=5
412     mypde.setValue(A=A,B=B,C=C,D=D,d=d,d_contact=d_contact)
413     self.failUnless(mypde.checkSymmetry(verbose=False),"symmetry detected")
414    
415     def test_symmetryCheckFalse_A_Scalar(self):
416     d=self.domain.getDim()
417     mypde=LinearPDE(self.domain,debug=self.DEBUG)
418     A=numarray.ones((d,d))
419     A[1,0]=0.
420     mypde.setValue(A=A)
421     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
422     def test_symmetryCheckFalse_BC_Scalar(self):
423     d=self.domain.getDim()
424     mypde=LinearPDE(self.domain,debug=self.DEBUG)
425     C=2*numarray.ones((d,))
426     B=2*numarray.ones((d,))
427     B[0]=1.
428     mypde.setValue(B=B,C=C)
429     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
430     #
431     # solver checks:
432     #
433     def test_symmetryOnIterative(self):
434     mypde=LinearPDE(self.domain,debug=self.DEBUG)
435     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
436     u=mypde.getSolution(verbose=self.VERBOSE)
437     self.failUnless(self.check(u,1.),'solution is wrong.')
438     def test_symmetryOnDirect(self):
439     mypde=LinearPDE(self.domain,debug=self.DEBUG)
440     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
441     mypde.setSolverMethod(mypde.DIRECT)
442     u=mypde.getSolution(verbose=self.VERBOSE)
443     self.failUnless(self.check(u,1.),'solution is wrong.')
444     def test_PCG_JACOBI(self):
445     mypde=LinearPDE(self.domain,debug=self.DEBUG)
446     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
447     mypde.setSolverMethod(mypde.PCG)
448     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.JACOBI)
449     self.failUnless(self.check(u,1.),'solution is wrong.')
450     def test_PCG_ILU0(self):
451     mypde=LinearPDE(self.domain,debug=self.DEBUG)
452     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
453     mypde.setSolverMethod(mypde.PCG)
454     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
455     self.failUnless(self.check(u,1.),'solution is wrong.')
456     def test_DIRECT(self):
457     mypde=LinearPDE(self.domain,debug=self.DEBUG)
458     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
459     mypde.setSolverMethod(mypde.DIRECT)
460     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
461     self.failUnless(self.check(u,1.),'solution is wrong.')
462     def test_BICGSTAB_JACOBI(self):
463     mypde=LinearPDE(self.domain,debug=self.DEBUG)
464     mypde.setSolverMethod(mypde.BICGSTAB)
465     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
466     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.JACOBI)
467     self.failUnless(self.check(u,1.),'solution is wrong.')
468     def test_BICGSTAB_ILU0(self):
469     mypde=LinearPDE(self.domain,debug=self.DEBUG)
470     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
471     mypde.setSolverMethod(mypde.BICGSTAB)
472     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
473     self.failUnless(self.check(u,1.),'solution is wrong.')
474     def test_PRES20_JACOBI(self):
475     mypde=LinearPDE(self.domain,debug=self.DEBUG)
476     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
477     mypde.setSolverMethod(mypde.PRES20)
478     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.JACOBI)
479     self.failUnless(self.check(u,1.),'solution is wrong.')
480     def test_PRES20_ILU0(self):
481     mypde=LinearPDE(self.domain,debug=self.DEBUG)
482     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
483     mypde.setSolverMethod(mypde.PRES20)
484     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
485     self.failUnless(self.check(u,1.),'solution is wrong.')
486     def test_GMRESnoRestart_JACOBI(self):
487     mypde=LinearPDE(self.domain,debug=self.DEBUG)
488     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
489     mypde.setSolverMethod(mypde.GMRES)
490     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.JACOBI)
491     self.failUnless(self.check(u,1.),'solution is wrong.')
492     def test_GMRESnoRestart_ILU0(self):
493     mypde=LinearPDE(self.domain,debug=self.DEBUG)
494     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
495     mypde.setSolverMethod(mypde.GMRES)
496     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
497     self.failUnless(self.check(u,1.),'solution is wrong.')
498     def test_GMRES_JACOBI(self):
499     mypde=LinearPDE(self.domain,debug=self.DEBUG)
500     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
501     mypde.setSolverMethod(mypde.GMRES)
502     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.JACOBI)
503     self.failUnless(self.check(u,1.),'solution is wrong.')
504     def test_GMRES_ILU0(self):
505     mypde=LinearPDE(self.domain,debug=self.DEBUG)
506     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
507     mypde.setSolverMethod(mypde.GMRES)
508     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
509     self.failUnless(self.check(u,1.),'solution is wrong.')
510     def test_GMRES_truncation_restart_JACOBI(self):
511     mypde=LinearPDE(self.domain,debug=self.DEBUG)
512     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
513     mypde.setSolverMethod(mypde.GMRES)
514     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.JACOBI,truncation=10,restart=20)
515     self.failUnless(self.check(u,1.),'solution is wrong.')
516     def test_GMRES_truncation_restart_ILU0(self):
517     mypde=LinearPDE(self.domain,debug=self.DEBUG)
518     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
519     mypde.setSolverMethod(mypde.GMRES)
520 jgs 153 mypde.setTolerance(1.e-12)
521     u=mypde.getSolution(verbose=self.VERBOSE or True,preconditioner=mypde.ILU0,truncation=10,restart=20)
522 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
523     def test_Lumping_attemptToSetA(self):
524     mypde=LinearPDE(self.domain,debug=self.DEBUG)
525     try:
526     success=True
527     mypde.setSolverMethod(mypde.LUMPING)
528     mypde.setValue(A=kronecker(self.domain))
529     u=mypde.getSolution(verbose=self.VERBOSE)
530     except Warning:
531     success=False
532     self.failUnless(not success,'warning should be issued')
533     def test_Lumping_attemptToSetB(self):
534     mypde=LinearPDE(self.domain,debug=self.DEBUG)
535     try:
536     success=True
537     mypde.setSolverMethod(mypde.LUMPING)
538     mypde.setValue(B=kronecker(self.domain)[0])
539     u=mypde.getSolution(verbose=self.VERBOSE)
540     except Warning:
541     success=False
542     self.failUnless(not success,'warning should be issued')
543     def test_Lumping_attemptToSetC(self):
544     mypde=LinearPDE(self.domain,debug=self.DEBUG)
545     try:
546     success=True
547     mypde.setSolverMethod(mypde.LUMPING)
548     mypde.setValue(C=kronecker(self.domain)[0])
549     u=mypde.getSolution(verbose=self.VERBOSE)
550     except Warning:
551     success=False
552     self.failUnless(not success,'warning should be issued')
553    
554     def test_Lumping(self):
555     mypde=LinearPDE(self.domain,debug=self.DEBUG)
556     mypde.setSolverMethod(mypde.LUMPING)
557     mypde.setValue(D=1.,Y=1.)
558     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
559     self.failUnless(self.check(u,1.),'solution is wrong.')
560     def test_Constrained_Lumping(self):
561     x=self.domain.getX()
562     mypde=LinearPDE(self.domain,debug=self.DEBUG)
563     mypde.setSolverMethod(mypde.LUMPING)
564     mypde.setValue(D=1.,Y=1.,q=x[0].whereZero(),r=1.)
565     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
566     self.failUnless(self.check(u,1.),'solution is wrong.')
567     def test_Lumping_updateRHS(self):
568     x=self.domain.getX()
569     mypde=LinearPDE(self.domain,debug=self.DEBUG)
570     mypde.setSolverMethod(mypde.LUMPING)
571     mypde.setValue(D=1.,Y=1.)
572     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
573     self.failUnless(self.check(u,1.),'first solution is wrong.')
574     mypde.setValue(Y=2.,q=x[0].whereZero(),r=2.)
575     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
576     self.failUnless(self.check(u,2.),'second solution is wrong.')
577     def test_Lumping_updateOperator(self):
578     x=self.domain.getX()
579     mypde=LinearPDE(self.domain,debug=self.DEBUG)
580     mypde.setSolverMethod(mypde.LUMPING)
581     mypde.setValue(D=1.,Y=1.)
582     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
583     mypde.setValue(D=2.)
584     u=mypde.getSolution(verbose=self.VERBOSE,preconditioner=mypde.ILU0)
585     self.failUnless(self.check(u,0.5),'second solution is wrong.')
586    

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