C++ LinearOpTester::set_all_error_tol方法代码示例

  TEUCHOS_UNIT_TEST(assembly_engine, z_basic_epetra_vtpetra)
  {
     TEUCHOS_ASSERT(tLinearOp!=Teuchos::null);
     TEUCHOS_ASSERT(eLinearOp!=Teuchos::null);

     TEUCHOS_ASSERT(tVector!=Teuchos::null);
     TEUCHOS_ASSERT(eVector!=Teuchos::null);

     Thyra::LinearOpTester<double> tester;
     tester.set_all_error_tol(1e-14);
     tester.show_all_tests(true);
     tester.dump_all(true);
     tester.num_random_vectors(200);

     {
        const bool result = tester.compare( *tLinearOp, *eLinearOp, Teuchos::ptrFromRef(out) );
        TEST_ASSERT(result);
     }

     {
        const bool result = Thyra::testRelNormDiffErr(
           "Tpetra",*tVector,
           "Epetra",*eVector,
           "linear_properties_error_tol()", 1e-14,
           "linear_properties_warning_tol()", 1e-14,
           &out);
        TEST_ASSERT(result);
     }
  }

bool tLumping::test_invLumping(int verbosity,std::ostream & os)
{
   bool status = false;
   bool allPassed = true;

   Thyra::LinearOpTester<double> tester;
   tester.show_all_tests(true);
   tester.set_all_error_tol(tolerance_);

   Epetra_Map map(100,0,*GetComm());

   // A matrix...to be lumped
   Epetra_CrsMatrix A(Copy,map,5,false);
   int indices[5];
   double values[5] = {1,2,3,4,5};
   for(int i=0;i<A.NumMyRows()-5;i++) {
      int index = A.RowMap().GID(i);
      for(int j=0;j<5;j++)
         indices[j] = A.RowMap().GID(i+j);
      A.InsertGlobalValues(index,5,values,indices);
   }
   for(int i=A.NumMyRows()-5;i<A.NumMyRows();i++) {
      int index = A.RowMap().GID(i);
      for(int j=0;j<5;j++)
         indices[j] = A.RowMap().GID(j);
      A.InsertGlobalValues(index,5,values,indices);
   }
   A.FillComplete();

   // B matrix...already lumped
   Epetra_CrsMatrix B(Copy,map,1,true);
   double number = 1.0/15.0;
   for(int i=0;i<B.NumMyRows();i++) {
      int index = B.RowMap().GID(i);
      B.InsertGlobalValues(index,1,&number,&index);
   }
   B.FillComplete();

   Teko::LinearOp pA = Thyra::epetraLinearOp(rcpFromRef(A));
   Teko::LinearOp pB = Thyra::epetraLinearOp(rcpFromRef(B));
   Teko::LinearOp lumpedA = getInvLumpedMatrix(pA);

   {
      std::stringstream ss;
      Teuchos::FancyOStream fos(rcpFromRef(ss),"      |||");
      const bool result = tester.compare( *pB, *lumpedA, Teuchos::ptrFromRef(fos) );
      TEST_ASSERT(result,
             std::endl << "   tLummping::test_invLumping "
             << ": Testing basic inv lumping functionality");
      if(not result || verbosity>=10)
         os << ss.str();
   }

   return allPassed;
}

TEUCHOS_UNIT_TEST(tStratimikosFactory, test_Defaults) 
{
  using Teuchos::RCP;
  using Teuchos::ParameterList;

  // build global (or serial communicator)
  #ifdef HAVE_MPI
     Epetra_MpiComm comm(MPI_COMM_WORLD);
  #else
     Epetra_SerialComm comm;
  #endif

  // build epetra operator
  RCP<Epetra_Operator> eA = buildSystem(comm,5);
  RCP<Thyra::LinearOpBase<double> > tA = Thyra::nonconstEpetraLinearOp(eA);

  // build stratimikos factory, adding Teko's version
  Stratimikos::DefaultLinearSolverBuilder stratFactory;
  stratFactory.setPreconditioningStrategyFactory(
        Teuchos::abstractFactoryStd<Thyra::PreconditionerFactoryBase<double>,Teko::StratimikosFactory>(),
        "Teko");
  RCP<const ParameterList> validParams = stratFactory.getValidParameters();
  stratFactory.setParameterList(Teuchos::rcp(new Teuchos::ParameterList(*validParams)));

  // print out Teko's parameter list and fail if it doesn't exist!
  TEST_NOTHROW(validParams->sublist("Preconditioner Types").sublist("Teko").print(out,
        ParameterList::PrintOptions().showDoc(true).indent(2).showTypes(true)));

  // build teko preconditioner factory
  RCP<Thyra::PreconditionerFactoryBase<double> > precFactory
        = stratFactory.createPreconditioningStrategy("Teko");

  // make sure factory is built
  TEST_ASSERT(precFactory!=Teuchos::null);

  // build preconditioner
  RCP<Thyra::PreconditionerBase<double> > prec = Thyra::prec<double>(*precFactory,tA);
  TEST_ASSERT(prec!=Teuchos::null);

  // build an operator to test against
  RCP<const Teko::InverseLibrary> invLib = Teko::InverseLibrary::buildFromStratimikos();
  RCP<const Teko::InverseFactory> invFact = invLib->getInverseFactory("Amesos");
  Teko::LinearOp testOp = Teko::buildInverse(*invFact,tA);

  Teko::LinearOp precOp = prec->getUnspecifiedPrecOp();
  TEST_ASSERT(precOp!=Teuchos::null);

  Thyra::LinearOpTester<double> tester;
  tester.show_all_tests(true);
  tester.set_all_error_tol(0);
  TEST_ASSERT(tester.compare(*precOp,*testOp,Teuchos::ptrFromRef(out)));
}

  TEUCHOS_UNIT_TEST(assembly_engine, z_basic_epetra_vtpetra)
  {
    PHX::InitializeKokkosDevice();

     TEUCHOS_ASSERT(tLinearOp!=Teuchos::null);
     TEUCHOS_ASSERT(eLinearOp!=Teuchos::null);

     TEUCHOS_ASSERT(tVector!=Teuchos::null);
     TEUCHOS_ASSERT(eVector!=Teuchos::null);

     Thyra::LinearOpTester<double> tester;
     tester.set_all_error_tol(1e-14);
     tester.show_all_tests(true);
     tester.dump_all(true);
     tester.num_random_vectors(200);

     {
        const bool result = tester.compare( *tLinearOp, *eLinearOp, Teuchos::ptrFromRef(out) );
        TEST_ASSERT(result);
     }

     {
        const bool result = Thyra::testRelNormDiffErr(
           "Tpetra",*tVector,
           "Epetra",*eVector,
           "linear_properties_error_tol()", 1e-14,
           "linear_properties_warning_tol()", 1e-14,
           &out);
        TEST_ASSERT(result);
     }


     // Need to kill global objects so that memory leaks on kokkos ref
     // count pointing doesn't trigger test failure.
     eLinearOp = Teuchos::null;
     tLinearOp = Teuchos::null;
     eVector = Teuchos::null;
     tVector = Teuchos::null;

     PHX::FinalizeKokkosDevice();
  }

TEUCHOS_UNIT_TEST(tExplicitOps, transpose)
{
   // build global (or serial communicator)
   #ifdef HAVE_MPI
      Epetra_MpiComm comm(MPI_COMM_WORLD);
   #else
      Epetra_SerialComm comm;
   #endif

   int nx = 39; // essentially random values
   int ny = 53;

   // create some big blocks to play with
   Trilinos_Util::CrsMatrixGallery FGallery("recirc_2d",comm,false); // CJ TODO FIXME: change for Epetra64
   FGallery.Set("nx",nx);
   FGallery.Set("ny",ny);
   Epetra_CrsMatrix & epetraF = FGallery.GetMatrixRef();
   Teko::LinearOp F = Thyra::epetraLinearOp(rcp(new Epetra_CrsMatrix(epetraF)));
   Teko::LinearOp F_T = Teko::explicitTranspose(F);
   Teko::LinearOp aF = Thyra::adjoint(F);

   Teuchos::RCP<const Epetra_Operator> eOp = Thyra::get_Epetra_Operator(*F_T);
   TEST_ASSERT(eOp!=Teuchos::null);
   Teuchos::RCP<const Epetra_CrsMatrix> eCrs = Teuchos::rcp_dynamic_cast<const Epetra_CrsMatrix>(eOp);
   TEST_ASSERT(eCrs!=Teuchos::null);

   Thyra::LinearOpTester<double> tester;
   tester.set_all_error_tol(1e-14);
   tester.show_all_tests(true);

   {
      std::stringstream ss;
      const bool result = tester.compare( *aF, *F_T, Teuchos::ptrFromRef(out) );
      TEST_ASSERT(result);
   }
}

bool tPCDStrategy::test_PCDStrategy(int verbosity,std::ostream & os)
{
   bool status = false;
   bool allPassed = true;

   Thyra::LinearOpTester<double> tester;
   tester.show_all_tests(true);
   tester.set_all_error_tol(tolerance_);

   Teko::LinearOp M1 = buildExampleOp(1,*GetComm(),1.0);
   Teko::LinearOp M2 = buildExampleOp(2,*GetComm(),1.0);
   Teko::LinearOp A = Thyra::nonconstBlock2x2<double>(buildExampleOp(2,*GetComm(),1.0),
                                      buildExampleOp(1,*GetComm(),2.0),
                                      buildExampleOp(1,*GetComm(),3.0),
                                      buildExampleOp(2,*GetComm(),4.0));
   Teko::BlockedLinearOp blkA = Teko::toBlockedLinearOp(A);

   Teko::LinearOp laplace = Teko::explicitMultiply(M2,M1);
   Teko::LinearOp Fp = M1;
   Teko::LinearOp Qp = buildExampleOp(3,*GetComm(),1.0);

   std::string pcdStr      = Teko::NS::PCDStrategy::getPCDString();
   std::string presLapStr  = Teko::NS::PCDStrategy::getPressureLaplaceString();
   std::string presMassStr = Teko::NS::PCDStrategy::getPressureMassString();

   RCP<Teko::StaticRequestCallback<Teko::LinearOp> > pcdCb
         = rcp(new Teko::StaticRequestCallback<Teko::LinearOp>(pcdStr,Fp));
   RCP<Teko::StaticRequestCallback<Teko::LinearOp> > lapCb
         = rcp(new Teko::StaticRequestCallback<Teko::LinearOp>(presLapStr,laplace));
   RCP<Teko::StaticRequestCallback<Teko::LinearOp> > massCb
         = rcp(new Teko::StaticRequestCallback<Teko::LinearOp>(presMassStr,Qp));

   RCP<Teko::RequestHandler> rh = rcp(new Teko::RequestHandler);
   rh->addRequestCallback(pcdCb);
   rh->addRequestCallback(lapCb);
   rh->addRequestCallback(massCb);

   RCP<Teko::InverseLibrary> invLib = Teko::InverseLibrary::buildFromStratimikos();
   RCP<Teko::InverseFactory> inverseFact = invLib->getInverseFactory("Amesos");

   // test the inverse of the 00 block
   {
      bool result;
      std::stringstream ss;
      Teuchos::FancyOStream fos(Teuchos::rcpFromRef(ss),"      |||");

      Teko::LinearOp invA00 = inverseFact->buildInverse(M2);
      Teko::BlockPreconditionerState state;
      Teko::NS::PCDStrategy strategy(inverseFact,inverseFact);
      strategy.setRequestHandler(rh);

      // build the state object
      // state.addLinearOp(presLapStr,  laplace);
      // state.addLinearOp(pcdStr,      Fp);
      // state.addLinearOp(presMassStr, Qp);

      // test the 0,0 block inverses: hat
      Teko::LinearOp hatInvA00 = strategy.getHatInvA00(blkA,state);
      ss.str("");
      result = tester.compare( *hatInvA00, *invA00, Teuchos::ptrFromRef(fos) );
      TEST_ASSERT(result,
            std::endl << "   tPCDStrategy::test_PCDStrategy " << toString(status)
                      << " : Comparing invHatA00 operators");
      if(not result || verbosity>=10)
         os << ss.str();

      // test the 0,0 block inverses: tilde
      Teko::LinearOp tildeInvA00 = strategy.getTildeInvA00(blkA,state);
      ss.str("");
      result = tester.compare( *tildeInvA00, *invA00, Teuchos::ptrFromRef(fos) );
      TEST_ASSERT(result,
            std::endl << "   tPCDStrategy::test_PCDStrategy " << toString(status)
                      << " : Comparing invTildeA00 operators");
      if(not result || verbosity>=10)
         os << ss.str();
   }

   // test the inverse of the Schur complement
   {
      bool result;
      std::stringstream ss;
      Teuchos::FancyOStream fos(Teuchos::rcpFromRef(ss),"      |||");

      Teko::LinearOp invLaplace = inverseFact->buildInverse(laplace);
      Teko::LinearOp iQp = Teko::getInvDiagonalOp(Qp);
      Teko::LinearOp invSchur = multiply(iQp,Fp,invLaplace);

      Teko::BlockPreconditionerState state;
      Teko::NS::PCDStrategy strategy(inverseFact,inverseFact);
      strategy.setRequestHandler(rh);

      // build the state object
      // state.addLinearOp(presLapStr,  laplace);
      // state.addLinearOp(pcdStr,      Fp);
      // state.addLinearOp(presMassStr, Qp);

      // test the 0,0 block inverses: hat
      Teko::LinearOp invS_strategy = strategy.getInvS(blkA,state);
      ss.str("");
      result = tester.compare( *invS_strategy, *invSchur, Teuchos::ptrFromRef(fos) );
//.........这里部分代码省略.........

bool runCgSolveExample(
  const int dim,
  const Scalar diagScale,
  const bool symOp,
  const bool showAllTests,
  const typename Teuchos::ScalarTraits<Scalar>::magnitudeType tolerance,
  const int maxNumIters
  )
{

  using Teuchos::as;
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::OSTab;
  typedef Teuchos::ScalarTraits<Scalar> ST;
  using Thyra::multiply;
  using Thyra::scale;
  typedef typename ST::magnitudeType  ScalarMag;
  bool success = true;
  bool result;
  Teuchos::RCP<Teuchos::FancyOStream> out =
    Teuchos::VerboseObjectBase::getDefaultOStream();
  *out << "\n***\n*** Running silly CG solver using scalar type = \'"
       << ST::name() << "\' ...\n***\n";
  Teuchos::Time timer("");
  timer.start(true);

  //
  // (A) Setup a simple linear system with tridiagonal operator:
  //
  //       [   a*2   -1                         ]
  //       [ -r(1)  a*2       -1                ]
  //  A =  [          .        .        .       ]
  //       [             -r(n-2)      a*2    -1 ]
  //       [                      -r(n-1)   a*2 ]
  //

  // (A.1) Create the tridiagonal matrix operator
  *out << "\nConstructing tridiagonal matrix A of dimension = " << dim
       << " and diagonal multiplier = " << diagScale << " ...\n";
  Teuchos::Array<Scalar> lower(dim-1), diag(dim), upper(dim-1);
  const Scalar
    up = -ST::one(),
    diagTerm = as<Scalar>(2.0) * diagScale * ST::one(),
    low = -(symOp ? ST::one() : ST::random());
  int k = 0;
  // First row
  diag[k] = diagTerm; upper[k] = up;
  // Middle rows
  for( k = 1; k < dim - 1; ++k ) {
    lower[k-1] = low; diag[k] = diagTerm; upper[k] = up;
  }
  // Last row
  lower[k-1] = low; diag[k] = diagTerm;
  RCP<const Thyra::LinearOpBase<Scalar> > A =
    rcp(new ExampleTridiagSerialLinearOp<Scalar>(dim, lower, diag, upper));

  // (A.2) Testing the linear operator constructed linear operator
  *out << "\nTesting the constructed linear operator A ...\n";
  Thyra::LinearOpTester<Scalar> linearOpTester;
  linearOpTester.enable_all_tests(false);
  linearOpTester.check_linear_properties(true);
  linearOpTester.set_all_error_tol(tolerance);
  linearOpTester.set_all_warning_tol(1e-2*tolerance);
  linearOpTester.show_all_tests(showAllTests);
  result = linearOpTester.check(*A, out.ptr());
  if(!result) success = false;

  // (A.3) Create RHS vector b and set to a random value
  RCP<Thyra::VectorBase<Scalar> > b = createMember(A->range());
  Thyra::seed_randomize<Scalar>(0);
  Thyra::randomize( -ST::one(), +ST::one(), b.ptr() );

  // (A.4) Create LHS vector x and set to zero
  RCP<Thyra::VectorBase<Scalar> > x = createMember(A->domain());
  Thyra::V_S( x.ptr(), ST::zero() );

  // (A.5) Create the final linear system
  if(!symOp) {
    *out << "\nSetting up normal equations for unsymmetric system A^H*(A*x-b) => new A*x = b ...\n";
    // A^H*A
    RCP<const Thyra::LinearOpBase<Scalar> > AtA = multiply(adjoint(A), A);
    // A^H*b
    RCP<Thyra::VectorBase<Scalar> > nb = createMember(AtA->range());
    Thyra::apply<Scalar>(*A, Thyra::CONJTRANS, *b, nb.ptr());
    A = AtA;
    b = nb;
  }

  // (A.6) Testing the linear operator used with the solve
  *out << "\nTesting the linear operator used with the solve ...\n";
  linearOpTester.check_for_symmetry(true);
  result = linearOpTester.check(*A, out.ptr());
  if(!result) success = false;

  //
  // (B) Solve the linear system with the silly CG solver
  //
  *out << "\nSolving the linear system with sillyCgSolve(...) ...\n";
//.........这里部分代码省略.........

//.........这里部分代码省略.........
    E = mvE,
    F = mvF,
    J = mvJ,
    K = mvK,
    L = mvL,
    N = mvN,
    P = mvP,
    Q = mvQ;

  out << describe(*A, verbLevel);
  out << describe(*B, verbLevel);
  out << describe(*C, verbLevel);
  out << describe(*E, verbLevel);
  out << describe(*F, verbLevel);
  out << describe(*J, verbLevel);
  out << describe(*K, verbLevel);
  out << describe(*L, verbLevel);
  out << describe(*N, verbLevel);
  out << describe(*P, verbLevel);
  out << describe(*Q, verbLevel);

  //
  // B) Create the composed linear operators
  //

  // I
  const RCP<const LinearOpBase<Scalar> > I = identity(space1, "I");

  // D = diag(d)
  const RCP<const LinearOpBase<Scalar> > D = diagonal(d, "D");

  // M00 = [ gama*B*A + C,  E + F ] ^H
  //       [ J^H * A,       I     ]
  const RCP<const LinearOpBase<Scalar> > M00 =
    adjoint(
      block2x2(
        add( scale(gamma,multiply(B,A)), C ),  add( E, F ),
        multiply(adjoint(J),A),                I
        ),
      "M00"
      );

  out << "\nM00 = " << describe(*M00, verbLevel);

  // M01 = beta * [ Q ]
  //              [ K ]
  const RCP<const LinearOpBase<Scalar> > M01 =
    scale(
      beta,
      block2x1( Q, K ),
      "M01"
      );

  out << "\nM01 = "  << describe(*M01, verbLevel);
            
  // M10 = [ L * N^H,  eta*P ]
  const RCP<const LinearOpBase<Scalar> > M10 =
    block1x2(
      multiply(L,adjoint(N)),  scale(eta,P),
      "M10"
      );

  out << "\nM10 = " << describe(*M10, verbLevel);

  // M11 = D - Q^H*Q
  const RCP<const LinearOpBase<Scalar> > M11 =
    subtract( D, multiply(adjoint(Q),Q), "M11" );

  out << "\nM11 = "  << describe(*M11, verbLevel);
  

  // M = [ M00, M01 ]
  //     [ M10, M11 ]
  const RCP<const LinearOpBase<Scalar> > M =
    block2x2(
      M00, M01,
      M10, M11,
      "M"
      );

  out << "\nM = " << describe(*M, verbLevel);

  
  //
  // C) Test the final composed operator
  //

  Thyra::LinearOpTester<Scalar> linearOpTester;
  linearOpTester.set_all_error_tol(errorTol);
  linearOpTester.check_adjoint(testAdjoint);
  if (as<int>(verbLevel) >= as<int>(Teuchos::VERB_HIGH))
    linearOpTester.show_all_tests(true);
  if (as<int>(verbLevel) >= as<int>(Teuchos::VERB_EXTREME))
    linearOpTester.dump_all(true);

  const bool result = linearOpTester.check(*M,&out);

  return result;

}

  // Testing Parameter Support
  TEUCHOS_UNIT_TEST(model_evaluator_blocked_hessians, d2f_dp2)
  {
    typedef panzer::Traits::RealType RealType;
    typedef Thyra::VectorBase<RealType> VectorType;
    typedef Thyra::SpmdVectorBase<RealType> SpmdVectorType;
    typedef Thyra::LinearOpBase<RealType> OperatorType;

    using Teuchos::RCP;
    using Teuchos::rcp_dynamic_cast;

    typedef Thyra::ModelEvaluatorBase::InArgs<double> InArgs;
    typedef Thyra::ModelEvaluatorBase::OutArgs<double> OutArgs;
    typedef panzer::ModelEvaluator<double> PME;


    bool distr_param_on = true;
    AssemblyPieces ap;
    buildAssemblyPieces(distr_param_on,ap);

    int pIndex = -1;

    std::vector<Teuchos::RCP<Teuchos::Array<std::string> > > p_names;
    std::vector<Teuchos::RCP<Teuchos::Array<double> > > p_values;
    bool build_transient_support = true;
    RCP<PME> me 
        = Teuchos::rcp(new PME(ap.fmb,ap.rLibrary,ap.lof,p_names,p_values,Teuchos::null,ap.gd,build_transient_support,0.0));

    const double DENSITY_VALUE = 3.7;
    const double TEMPERATURE_VALUE = 2.0;
    const double PERTURB_VALUE = 0.1;

    // add distributed parameter
    {
      RCP<ThyraObjFactory<double> > th_param_lof = rcp_dynamic_cast<ThyraObjFactory<double> >(ap.param_lof);

      RCP<VectorType> param_density = Thyra::createMember(th_param_lof->getThyraDomainSpace());
      Thyra::assign(param_density.ptr(),DENSITY_VALUE);
      pIndex = me->addDistributedParameter("DENSITY_P",th_param_lof->getThyraDomainSpace(),
                                           ap.param_ged,param_density,ap.param_dofManager);
    }

    me->setupModel(ap.wkstContainer,ap.physicsBlocks,ap.bcs,
                   *ap.eqset_factory,
                   *ap.bc_factory,
                   ap.cm_factory,
                   ap.cm_factory,
                   ap.closure_models,
                   ap.user_data,false,"");

    // panzer::printMeshTopology(out,*ap.dofManager);
    

    RCP<OperatorType> D2fDp2 = me->create_DfDp_op(pIndex);

    // test hessian
    {

      RCP<VectorType> x = Thyra::createMember(*me->get_x_space());
      Thyra::assign(x.ptr(),TEMPERATURE_VALUE);

      RCP<VectorType> dx = Thyra::createMember(*me->get_x_space());
      Thyra::assign(dx.ptr(),PERTURB_VALUE);

      InArgs  in_args = me->createInArgs();
      in_args.set_x(x);
      in_args.set_alpha(1.0/0.1);
      in_args.set_beta(1.0);

      me->evalModel_D2fDp2(pIndex,in_args,dx,D2fDp2);

      out << "D2fDp2 = \n" << Teuchos::describe(*D2fDp2,Teuchos::VERB_EXTREME) << std::endl;
    }

    RCP<OperatorType> W = me->create_DfDp_op(pIndex);
    {
      RCP<VectorType> x = Thyra::createMember(*me->get_x_space());
      Thyra::assign(x.ptr(),TEMPERATURE_VALUE);

      InArgs in_args = me->createInArgs();
      in_args.set_x(x);
      in_args.set_alpha(1.0);
      in_args.set_beta(0.0);

      OutArgs out_args = me->createOutArgs();
      out_args.set_DfDp(pIndex,W);

      me->evalModel(in_args,out_args);

      out << "W = \n" << Teuchos::describe(*W,Teuchos::VERB_EXTREME) << std::endl;
    }

    Thyra::LinearOpTester<double> tester;
    tester.show_all_tests(true);
    tester.set_all_error_tol(1e-15);
    tester.num_random_vectors(20);

    double scaling_of_dfdp = PERTURB_VALUE/DENSITY_VALUE;

    Teuchos::FancyOStream fout(Teuchos::rcpFromRef(std::cout));
//.........这里部分代码省略.........