/[escript]/trunk/escript/py_src/test_linearPDEs.py
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Revision 387 - (hide annotations)
Tue Dec 20 00:37:20 2005 UTC (15 years, 1 month ago) by gross
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scale allows now to switch on and off certain problems
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 gross 304 from esys.escript.util import Lsup,kronecker,interpolate,whereZero
27 jgs 149 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 gross 304 q_ref=interpolate(whereZero(x[0]),Solution(self.domain))
53 jgs 149 A_ref=kronecker(self.domain)
54 gross 304 mypde.setValue(q=whereZero(x[0]))
55 jgs 149 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 gross 304 msk+=whereZero(x[i])
97 jgs 149 #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 gross 304 mypde.setValue(A=kronecker(self.domain),Y=1.,q=whereZero(x[0]))
337 jgs 149 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 jgs 154 mypde.setSymmetryOn()
345 jgs 149 x=self.domain.getX()
346 gross 304 mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.,r=1,q=whereZero(x[0]))
347 jgs 154 u1=mypde.getSolution(verbose=self.VERBOSE)
348 jgs 149 mypde.setValue(Y=2.,D=2)
349 jgs 154 u2=mypde.getSolution(verbose=self.VERBOSE)
350     self.failUnless(self.check(u2,u1),'first solution is wrong.')
351     u2=mypde.getSolution(verbose=self.VERBOSE)
352     self.failUnless(self.check(u2,u1),'first solution is wrong.')
353 jgs 149 mypde.setValue(r=2,Y=4.)
354 jgs 154 u2=mypde.getSolution(verbose=self.VERBOSE)
355     self.failUnless(self.check(u2,2*u1),'second solution is wrong.')
356 jgs 149
357     def test_symmetryCheckTrue_System(self):
358     d=self.domain.getDim()
359     mypde=LinearPDE(self.domain,debug=self.DEBUG)
360     A=numarray.ones((self.N,d,self.N,d))
361     C=2*numarray.ones((self.N,self.N,d))
362     B=2*numarray.ones((self.N,d,self.N))
363     D=3*numarray.ones((self.N,self.N))
364     d=4*numarray.ones((self.N,self.N))
365     d_contact=5*numarray.ones((self.N,self.N))
366     mypde.setValue(A=A,B=B,C=C,D=D,d=d,d_contact=d_contact)
367     self.failUnless(mypde.checkSymmetry(verbose=False),"symmetry detected")
368    
369     def test_symmetryCheckFalse_A_System(self):
370     d=self.domain.getDim()
371     mypde=LinearPDE(self.domain,debug=self.DEBUG)
372     A=numarray.ones((self.N,d,self.N,d))
373     A[1,1,1,0]=0.
374     mypde.setValue(A=A)
375     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
376     def test_symmetryCheckFalse_BC_System(self):
377     d=self.domain.getDim()
378     mypde=LinearPDE(self.domain,debug=self.DEBUG)
379     C=2*numarray.ones((self.N,self.N,d))
380     B=2*numarray.ones((self.N,d,self.N))
381     B[0,0,1]=1.
382     mypde.setValue(B=B,C=C)
383     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
384    
385     def test_symmetryCheckFalse_D_System(self):
386     mypde=LinearPDE(self.domain,debug=self.DEBUG)
387     D=3*numarray.ones((self.N,self.N))
388     D[0,1]=0.
389     mypde.setValue(D=D)
390     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
391    
392     def test_symmetryCheckFalse_d_System(self):
393     mypde=LinearPDE(self.domain,debug=self.DEBUG)
394     d=4*numarray.ones((self.N,self.N))
395     d[0,1]=0.
396     mypde.setValue(d=d)
397     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
398    
399     def test_symmetryCheckFalse_d_contact_System(self):
400     mypde=LinearPDE(self.domain,debug=self.DEBUG)
401     d_contact=5*numarray.ones((self.N,self.N))
402     d_contact[0,1]=0.
403     mypde.setValue(d_contact=d_contact)
404     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
405    
406     def test_symmetryCheckTrue_Scalar(self):
407     d=self.domain.getDim()
408     mypde=LinearPDE(self.domain,debug=self.DEBUG)
409     A=numarray.ones((d,d))
410     C=2*numarray.ones((d,))
411     B=2*numarray.ones((d,))
412     D=3
413     d=4
414     d_contact=5
415     mypde.setValue(A=A,B=B,C=C,D=D,d=d,d_contact=d_contact)
416     self.failUnless(mypde.checkSymmetry(verbose=False),"symmetry detected")
417    
418     def test_symmetryCheckFalse_A_Scalar(self):
419     d=self.domain.getDim()
420     mypde=LinearPDE(self.domain,debug=self.DEBUG)
421     A=numarray.ones((d,d))
422     A[1,0]=0.
423     mypde.setValue(A=A)
424     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
425     def test_symmetryCheckFalse_BC_Scalar(self):
426     d=self.domain.getDim()
427     mypde=LinearPDE(self.domain,debug=self.DEBUG)
428     C=2*numarray.ones((d,))
429     B=2*numarray.ones((d,))
430     B[0]=1.
431     mypde.setValue(B=B,C=C)
432     self.failUnless(not mypde.checkSymmetry(verbose=False),"symmetry detected")
433     #
434     # solver checks:
435     #
436     def test_symmetryOnIterative(self):
437     mypde=LinearPDE(self.domain,debug=self.DEBUG)
438     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
439     u=mypde.getSolution(verbose=self.VERBOSE)
440     self.failUnless(self.check(u,1.),'solution is wrong.')
441     def test_symmetryOnDirect(self):
442     mypde=LinearPDE(self.domain,debug=self.DEBUG)
443     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
444     mypde.setSolverMethod(mypde.DIRECT)
445     u=mypde.getSolution(verbose=self.VERBOSE)
446     self.failUnless(self.check(u,1.),'solution is wrong.')
447     def test_PCG_JACOBI(self):
448     mypde=LinearPDE(self.domain,debug=self.DEBUG)
449     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
450 gross 387 mypde.setSolverMethod(mypde.PCG,mypde.JACOBI)
451     u=mypde.getSolution(verbose=self.VERBOSE)
452 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
453     def test_PCG_ILU0(self):
454     mypde=LinearPDE(self.domain,debug=self.DEBUG)
455     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
456 gross 387 mypde.setSolverMethod(mypde.PCG,mypde.ILU0)
457     u=mypde.getSolution(verbose=self.VERBOSE)
458 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
459     def test_DIRECT(self):
460     mypde=LinearPDE(self.domain,debug=self.DEBUG)
461     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
462     mypde.setSolverMethod(mypde.DIRECT)
463 jgs 154 u=mypde.getSolution(verbose=self.VERBOSE)
464 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
465     def test_BICGSTAB_JACOBI(self):
466     mypde=LinearPDE(self.domain,debug=self.DEBUG)
467 gross 387 mypde.setSolverMethod(mypde.BICGSTAB,mypde.JACOBI)
468 jgs 149 mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
469 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
470 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
471     def test_BICGSTAB_ILU0(self):
472     mypde=LinearPDE(self.domain,debug=self.DEBUG)
473     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
474 gross 387 mypde.setSolverMethod(mypde.BICGSTAB,mypde.ILU0)
475     u=mypde.getSolution(verbose=self.VERBOSE)
476 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
477     def test_PRES20_JACOBI(self):
478     mypde=LinearPDE(self.domain,debug=self.DEBUG)
479     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
480 gross 387 mypde.setSolverMethod(mypde.PRES20,mypde.JACOBI)
481     u=mypde.getSolution(verbose=self.VERBOSE)
482 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
483     def test_PRES20_ILU0(self):
484     mypde=LinearPDE(self.domain,debug=self.DEBUG)
485     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
486 gross 387 mypde.setSolverMethod(mypde.PRES20,mypde.ILU0)
487     u=mypde.getSolution(verbose=self.VERBOSE)
488 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
489     def test_GMRESnoRestart_JACOBI(self):
490     mypde=LinearPDE(self.domain,debug=self.DEBUG)
491     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
492 gross 387 mypde.setSolverMethod(mypde.GMRES,mypde.JACOBI)
493     # u=mypde.getSolution(verbose=self.VERBOSE,truncation=5)
494     u=mypde.getSolution(verbose=self.VERBOSE)
495 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
496     def test_GMRESnoRestart_ILU0(self):
497     mypde=LinearPDE(self.domain,debug=self.DEBUG)
498     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
499 gross 387 mypde.setSolverMethod(mypde.GMRES,mypde.ILU0)
500     # u=mypde.getSolution(verbose=self.VERBOSE,truncation=5)
501     u=mypde.getSolution(verbose=self.VERBOSE)
502 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
503     def test_GMRES_JACOBI(self):
504     mypde=LinearPDE(self.domain,debug=self.DEBUG)
505     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
506 gross 387 mypde.setSolverMethod(mypde.GMRES,mypde.JACOBI)
507     u=mypde.getSolution(verbose=self.VERBOSE)
508 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
509     def test_GMRES_ILU0(self):
510     mypde=LinearPDE(self.domain,debug=self.DEBUG)
511     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
512 gross 387 mypde.setSolverMethod(mypde.GMRES,mypde.ILU0)
513     u=mypde.getSolution(verbose=self.VERBOSE)
514 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
515     def test_GMRES_truncation_restart_JACOBI(self):
516     mypde=LinearPDE(self.domain,debug=self.DEBUG)
517     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
518 gross 387 mypde.setSolverMethod(mypde.GMRES,mypde.JACOBI)
519     u=mypde.getSolution(verbose=self.VERBOSE,truncation=10,restart=20)
520 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
521     def test_GMRES_truncation_restart_ILU0(self):
522     mypde=LinearPDE(self.domain,debug=self.DEBUG)
523     mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.)
524 gross 387 mypde.setSolverMethod(mypde.GMRES,mypde.ILU0)
525     u=mypde.getSolution(verbose=self.VERBOSE,truncation=10,restart=20)
526 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
527     def test_Lumping_attemptToSetA(self):
528     mypde=LinearPDE(self.domain,debug=self.DEBUG)
529     try:
530     success=True
531     mypde.setSolverMethod(mypde.LUMPING)
532     mypde.setValue(A=kronecker(self.domain))
533     u=mypde.getSolution(verbose=self.VERBOSE)
534     except Warning:
535     success=False
536     self.failUnless(not success,'warning should be issued')
537     def test_Lumping_attemptToSetB(self):
538     mypde=LinearPDE(self.domain,debug=self.DEBUG)
539     try:
540     success=True
541     mypde.setSolverMethod(mypde.LUMPING)
542     mypde.setValue(B=kronecker(self.domain)[0])
543     u=mypde.getSolution(verbose=self.VERBOSE)
544     except Warning:
545     success=False
546     self.failUnless(not success,'warning should be issued')
547     def test_Lumping_attemptToSetC(self):
548     mypde=LinearPDE(self.domain,debug=self.DEBUG)
549     try:
550     success=True
551     mypde.setSolverMethod(mypde.LUMPING)
552     mypde.setValue(C=kronecker(self.domain)[0])
553     u=mypde.getSolution(verbose=self.VERBOSE)
554     except Warning:
555     success=False
556     self.failUnless(not success,'warning should be issued')
557    
558     def test_Lumping(self):
559     mypde=LinearPDE(self.domain,debug=self.DEBUG)
560     mypde.setSolverMethod(mypde.LUMPING)
561     mypde.setValue(D=1.,Y=1.)
562 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
563 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
564     def test_Constrained_Lumping(self):
565     x=self.domain.getX()
566     mypde=LinearPDE(self.domain,debug=self.DEBUG)
567     mypde.setSolverMethod(mypde.LUMPING)
568 gross 304 mypde.setValue(D=1.,Y=1.,q=whereZero(x[0]),r=1.)
569 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
570 jgs 149 self.failUnless(self.check(u,1.),'solution is wrong.')
571     def test_Lumping_updateRHS(self):
572     x=self.domain.getX()
573     mypde=LinearPDE(self.domain,debug=self.DEBUG)
574     mypde.setSolverMethod(mypde.LUMPING)
575     mypde.setValue(D=1.,Y=1.)
576 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
577 jgs 149 self.failUnless(self.check(u,1.),'first solution is wrong.')
578 gross 304 mypde.setValue(Y=2.,q=whereZero(x[0]),r=2.)
579 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
580 jgs 149 self.failUnless(self.check(u,2.),'second solution is wrong.')
581     def test_Lumping_updateOperator(self):
582     x=self.domain.getX()
583     mypde=LinearPDE(self.domain,debug=self.DEBUG)
584     mypde.setSolverMethod(mypde.LUMPING)
585     mypde.setValue(D=1.,Y=1.)
586 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
587 jgs 149 mypde.setValue(D=2.)
588 gross 387 u=mypde.getSolution(verbose=self.VERBOSE)
589 jgs 149 self.failUnless(self.check(u,0.5),'second solution is wrong.')
590    

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