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# $Id$ |
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|
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""" |
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Test suite for linearPDEs class |
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|
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The tests must be linked with a Domain class object in the setUp method: |
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|
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from esys.finley import Rectangle |
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class Test_LinearPDEOnFinley(Test_LinearPDE): |
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def setUp(self): |
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self.domain = Rectangle(10,10,2) |
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suite = unittest.TestSuite() |
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suite.addTest(unittest.makeSuite(Test_LinearPDEOnFinley)) |
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unittest.TextTestRunner(verbosity=2).run(suite) |
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|
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""" |
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|
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__author__="Lutz Gross, l.gross@uq.edu.au" |
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__licence__="contact: esys@access.uq.edu.au" |
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__url__="http://www.iservo.edu.au/esys/escript" |
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__version__="$Revision$" |
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__date__="$Date$" |
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|
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|
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|
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from esys.escript.util import Lsup,kronecker,interpolate,whereZero |
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from esys.escript import Function,FunctionOnBoundary,FunctionOnContactZero,Solution,ReducedSolution,Vector,ContinuousFunction,Scalar |
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from esys.escript.linearPDEs import LinearPDE,IllegalCoefficientValue,Poisson |
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import numarray |
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import unittest |
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|
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class Test_linearPDEs(unittest.TestCase): |
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TOL=1.e-6 |
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SOLVER_TOL=1.e-10 |
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DEBUG=False |
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VERBOSE=False |
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def check(self,arg,ref_arg,tol=None): |
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""" |
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checks if arg and ref_arg are nearly identical using the L{Lsup<esys.escript.util.Lsup>} |
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""" |
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if tol==None: tol=self.TOL |
| 42 |
return Lsup(arg-ref_arg)<=tol*Lsup(ref_arg) |
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|
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class Test_Poisson(Test_linearPDEs): |
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|
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def test_config(self): |
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mypde=Poisson(self.domain,debug=self.DEBUG) |
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self.failUnlessEqual((mypde.getNumEquations(),mypde.getNumSolutions(),mypde.isSymmetric()),(1,1,True),"set up incorrect") |
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def test_setCoefficient_q(self): |
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mypde=Poisson(self.domain,debug=self.DEBUG) |
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x=self.domain.getX() |
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q_ref=interpolate(whereZero(x[0]),Solution(self.domain)) |
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A_ref=kronecker(self.domain) |
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mypde.setValue(q=whereZero(x[0])) |
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self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("A"),A_ref),"A is not kronecker") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("B").isEmpty(),"B is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("C").isEmpty(),"C is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("D").isEmpty(),"D is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("X").isEmpty(),"X is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("Y").isEmpty(),"Y is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("y").isEmpty(),"y is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("d").isEmpty(),"d is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("d_contact").isEmpty(),"d_contact is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("y_contact").isEmpty(),"y_contact is not empty") |
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self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("q"),q_ref),"q is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("r").isEmpty(),"r is not empty") |
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def test_setCoefficient_f(self): |
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mypde=Poisson(self.domain,debug=self.DEBUG) |
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x=self.domain.getX() |
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Y_ref=interpolate(x[0],Function(self.domain)) |
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A_ref=kronecker(self.domain) |
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mypde.setValue(f=x[0]) |
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self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("A"),A_ref),"A is not kronecker") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("B").isEmpty(),"B is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("C").isEmpty(),"C is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("D").isEmpty(),"D is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("X").isEmpty(),"X is not empty") |
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self.failUnless(self.check(mypde.getCoefficientOfGeneralPDE("Y"),Y_ref),"Y is not x[0]") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("y").isEmpty(),"y is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("d").isEmpty(),"d is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("d_contact").isEmpty(),"d_contact is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("y_contact").isEmpty(),"y_contact is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("q").isEmpty(),"q is not empty") |
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self.failUnless(mypde.getCoefficientOfGeneralPDE("r").isEmpty(),"r is not empty") |
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def test_solve(self): |
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d=self.domain.getDim() |
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cf=ContinuousFunction(self.domain) |
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x=cf.getX() |
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#construct exact solution: |
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u_ex=Scalar(1.,cf) |
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for i in range(d): |
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u_ex*=x[i]*(2.-x[i]) |
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#construct mask: |
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msk=Scalar(0.,cf) |
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for i in range(d): |
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msk+=whereZero(x[i]) |
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#construct right hand side |
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f=Scalar(0,cf) |
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for i in range(d): |
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f_p=Scalar(1,cf) |
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for j in range(d): |
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if i==j: |
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f_p*=2. |
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else: |
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f_p*=x[j]*(2-x[j]) |
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f+=f_p |
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mypde=Poisson(self.domain) |
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mypde.setValue(f=f,q=msk) |
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u=mypde.getSolution() |
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self.failUnless(self.check(u,u_ex,10*self.TOL),"incorrect solution") |
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|
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class Test_LinearPDE(Test_linearPDEs): |
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N=4 |
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def test_setCoefficient_WithIllegalFunctionSpace(self): |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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try: |
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success=True |
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mypde.setValue(C=Vector(0.,FunctionOnBoundary(self.domain))) |
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except IllegalCoefficientValue: |
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success=False |
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self.failUnless(not success,'inapropraite function space accepted') |
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|
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def test_resetCoefficient_WithWrongShape(self): |
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mypde=LinearPDE(self.domain,numEquations=2,debug=self.DEBUG) |
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try: |
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success=True |
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mypde.setValue(C=0.) |
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except IllegalCoefficientValue: |
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success=False |
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self.failUnless(not success,'illegal shape accepted') |
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def test_reducedOn(self): |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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x=self.domain.getX() |
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mypde.setReducedOrderOn() |
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mypde.setValue(A=kronecker(self.domain),D=x[0],Y=x[0]) |
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u=mypde.getSolution() |
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self.failUnless(self.check(u,1.),'solution is wrong.') |
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|
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def test_attemptToChangeOrderAfterDefinedCoefficient(self): |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(D=1.) |
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try: |
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success=True |
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mypde.setReducedOrderOn() |
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except RuntimeError: |
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success=False |
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self.failUnless(not success,'alterion of order after coefficient is changed not detected.') |
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|
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def test_reducedOnConfig(self): |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setReducedOrderOn() |
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self.failUnlessEqual((mypde.getFunctionSpaceForSolution(),mypde.getFunctionSpaceForEquation()),(ReducedSolution(self.domain),ReducedSolution(self.domain)),"reduced function spaces expected.") |
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# |
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# set coefficients for scalars: |
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# |
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def test_setCoefficient_A_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(A=numarray.ones((d,d))) |
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coeff=mypde.getCoefficientOfGeneralPDE("A") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,d),Function(self.domain),1,1)) |
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def test_setCoefficient_B_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(B=numarray.ones((d,))) |
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coeff=mypde.getCoefficientOfGeneralPDE("B") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),Function(self.domain),1,1)) |
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def test_setCoefficient_C_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(C=numarray.ones((d,))) |
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coeff=mypde.getCoefficientOfGeneralPDE("C") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((d,),Function(self.domain),1,1)) |
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def test_setCoefficient_D_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(D=1.) |
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coeff=mypde.getCoefficientOfGeneralPDE("D") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),Function(self.domain),1,1)) |
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def test_setCoefficient_X_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG) |
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mypde.setValue(X=numarray.ones((d,))) |
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coeff=mypde.getCoefficientOfGeneralPDE("X") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((d,),Function(self.domain),1)) |
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def test_setCoefficient_Y_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG) |
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mypde.setValue(Y=1.) |
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coeff=mypde.getCoefficientOfGeneralPDE("Y") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),Function(self.domain),1)) |
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def test_setCoefficient_y_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG) |
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mypde.setValue(y=1.) |
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coeff=mypde.getCoefficientOfGeneralPDE("y") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumEquations()),((),FunctionOnBoundary(self.domain),1)) |
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def test_setCoefficient_d_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(d=1.) |
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coeff=mypde.getCoefficientOfGeneralPDE("d") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),FunctionOnBoundary(self.domain),1,1)) |
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def test_setCoefficient_d_contact_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,debug=self.DEBUG) |
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mypde.setValue(d_contact=1.) |
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coeff=mypde.getCoefficientOfGeneralPDE("d_contact") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions(),mypde.getNumEquations()),((),FunctionOnContactZero(self.domain),1,1)) |
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def test_setCoefficient_y_contact_Scalar(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,numSolutions=3,debug=self.DEBUG) |
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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): |
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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): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG) |
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mypde.setValue(q=1.) |
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coeff=mypde.getCoefficientOfGeneralPDE("q") |
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self.failUnlessEqual((coeff.getShape(),coeff.getFunctionSpace(),mypde.getNumSolutions()),((),Solution(self.domain),1)) |
| 228 |
def test_setCoefficient_r_Scalar_reducedOn(self): |
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d=self.domain.getDim() |
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mypde=LinearPDE(self.domain,numEquations=3,debug=self.DEBUG) |
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mypde.setReducedOrderOn() |
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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): |
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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 |
|
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# |
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# 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=whereZero(x[0])) |
| 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 |
mypde.setSymmetryOn() |
| 345 |
x=self.domain.getX() |
| 346 |
mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.,r=1,q=whereZero(x[0])) |
| 347 |
u1=mypde.getSolution(verbose=self.VERBOSE) |
| 348 |
mypde.setValue(Y=2.,D=2) |
| 349 |
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 |
mypde.setValue(r=2,Y=4.) |
| 354 |
u2=mypde.getSolution(verbose=self.VERBOSE) |
| 355 |
self.failUnless(self.check(u2,2*u1),'second solution is wrong.') |
| 356 |
|
| 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 |
mypde.setSolverMethod(mypde.PCG,mypde.JACOBI) |
| 451 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 452 |
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 |
mypde.setSolverMethod(mypde.PCG,mypde.ILU0) |
| 457 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 458 |
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 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 464 |
self.failUnless(self.check(u,1.),'solution is wrong.') |
| 465 |
def test_BICGSTAB_JACOBI(self): |
| 466 |
mypde=LinearPDE(self.domain,debug=self.DEBUG) |
| 467 |
mypde.setSolverMethod(mypde.BICGSTAB,mypde.JACOBI) |
| 468 |
mypde.setValue(A=kronecker(self.domain),D=1.,Y=1.) |
| 469 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 470 |
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 |
mypde.setSolverMethod(mypde.BICGSTAB,mypde.ILU0) |
| 475 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 476 |
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 |
mypde.setSolverMethod(mypde.PRES20,mypde.JACOBI) |
| 481 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 482 |
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 |
mypde.setSolverMethod(mypde.PRES20,mypde.ILU0) |
| 487 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 488 |
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 |
mypde.setSolverMethod(mypde.GMRES,mypde.JACOBI) |
| 493 |
# u=mypde.getSolution(verbose=self.VERBOSE,truncation=5) |
| 494 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 495 |
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 |
mypde.setSolverMethod(mypde.GMRES,mypde.ILU0) |
| 500 |
# u=mypde.getSolution(verbose=self.VERBOSE,truncation=5) |
| 501 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 502 |
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 |
mypde.setSolverMethod(mypde.GMRES,mypde.JACOBI) |
| 507 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 508 |
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 |
mypde.setSolverMethod(mypde.GMRES,mypde.ILU0) |
| 513 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 514 |
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 |
mypde.setSolverMethod(mypde.GMRES,mypde.JACOBI) |
| 519 |
u=mypde.getSolution(verbose=self.VERBOSE,truncation=10,restart=20) |
| 520 |
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 |
mypde.setSolverMethod(mypde.GMRES,mypde.ILU0) |
| 525 |
u=mypde.getSolution(verbose=self.VERBOSE,truncation=10,restart=20) |
| 526 |
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 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 563 |
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 |
mypde.setValue(D=1.,Y=1.,q=whereZero(x[0]),r=1.) |
| 569 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 570 |
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 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 577 |
self.failUnless(self.check(u,1.),'first solution is wrong.') |
| 578 |
mypde.setValue(Y=2.,q=whereZero(x[0]),r=2.) |
| 579 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 580 |
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 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 587 |
mypde.setValue(D=2.) |
| 588 |
u=mypde.getSolution(verbose=self.VERBOSE) |
| 589 |
self.failUnless(self.check(u,0.5),'second solution is wrong.') |
| 590 |
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