void assertValidModel(
const StepperBase<Scalar>& stepper,
const Thyra::ModelEvaluator<Scalar>& model
)
{
typedef Thyra::ModelEvaluatorBase MEB;
TEUCHOS_ASSERT(stepper.acceptsModel());
const MEB::InArgs<Scalar> inArgs = model.createInArgs();
const MEB::OutArgs<Scalar> outArgs = model.createOutArgs();
//TEUCHOS_ASSERT(inArgs.supports(MEB::IN_ARG_t));
TEUCHOS_ASSERT(inArgs.supports(MEB::IN_ARG_x));
TEUCHOS_ASSERT(outArgs.supports(MEB::OUT_ARG_f));
if (stepper.isImplicit()) { // implicit stepper
TEUCHOS_ASSERT( inArgs.supports(MEB::IN_ARG_x_dot) );
TEUCHOS_ASSERT( inArgs.supports(MEB::IN_ARG_alpha) );
TEUCHOS_ASSERT( inArgs.supports(MEB::IN_ARG_beta) );
TEUCHOS_ASSERT( outArgs.supports(MEB::OUT_ARG_W) );
}
//else { // explicit stepper
// TEUCHOS_ASSERT( !inArgs.supports(MEB::IN_ARG_x_dot) );
// TEUCHOS_ASSERT( !inArgs.supports(MEB::IN_ARG_alpha) );
// TEUCHOS_ASSERT( !inArgs.supports(MEB::IN_ARG_beta) );
// TEUCHOS_ASSERT( !outArgs.supports(MEB::OUT_ARG_W) );
//}
}
TEUCHOS_UNIT_TEST( Rythmos_ForwardSensitivityExplicitModelEvaluator, args ) {
RCP<ForwardSensitivityExplicitModelEvaluator<double> > model =
forwardSensitivityExplicitModelEvaluator<double>();
RCP<SinCosModel> innerModel = sinCosModel();
{
RCP<ParameterList> pl = Teuchos::parameterList();
pl->set("Accept model parameters",true);
pl->set("Implicit model formulation",false);
innerModel->setParameterList(pl);
}
model->initializeStructure(innerModel, 0 );
typedef Thyra::ModelEvaluatorBase MEB;
{
MEB::InArgs<double> inArgs = model->createInArgs();
TEST_EQUALITY_CONST( inArgs.supports(MEB::IN_ARG_t), true );
TEST_EQUALITY_CONST( inArgs.supports(MEB::IN_ARG_x), true );
TEST_EQUALITY_CONST( inArgs.supports(MEB::IN_ARG_x_dot), false );
TEST_EQUALITY_CONST( inArgs.supports(MEB::IN_ARG_alpha), false );
TEST_EQUALITY_CONST( inArgs.supports(MEB::IN_ARG_beta), true );
}
{
MEB::OutArgs<double> outArgs = model->createOutArgs();
TEST_EQUALITY_CONST( outArgs.supports(MEB::OUT_ARG_f), true );
TEST_EQUALITY_CONST( outArgs.supports(MEB::OUT_ARG_W_op), false );
TEST_EQUALITY_CONST( outArgs.supports(MEB::OUT_ARG_W), false );
}
}
int TriKota::ThyraDirectApplicInterface::derived_map_ac(const Dakota::String& ac_name)
{
if (App != Teuchos::null) {
// Test for consistency of problem definition between ModelEval and Dakota
TEST_FOR_EXCEPTION(numVars > numParameters, std::logic_error,
"TriKota_Dakota Adapter Error: ");
TEST_FOR_EXCEPTION(numFns > numResponses, std::logic_error,
"TriKota_Dakota Adapter Error: ");
TEST_FOR_EXCEPTION(hessFlag, std::logic_error,
"TriKota_Dakota Adapter Error: ");
MEB::InArgs<double> inArgs = App->createInArgs();
MEB::OutArgs<double> outArgs = App->createOutArgs();
TEST_FOR_EXCEPTION(gradFlag && !supportsSensitivities, std::logic_error,
"TriKota_Dakota Adapter Error: ");
// Load parameters from Dakota to ModelEval data structure
{
Thyra::DetachedVectorView<double> my_p(model_p);
for (unsigned int i=0; i<numVars; i++) my_p[i]=xC[i];
}
// Evaluate model
inArgs.set_p(0,model_p);
outArgs.set_g(0,model_g);
if (gradFlag) outArgs.set_DgDp(0,0,
MEB::DerivativeMultiVector<double>(model_dgdp,orientation));
App->evalModel(inArgs, outArgs);
Thyra::DetachedVectorView<double> my_g(model_g);
for (unsigned int j=0; j<numFns; j++) fnVals[j]= my_g[j];
if (gradFlag) {
if (orientation == MEB::DERIV_MV_BY_COL) {
for (unsigned int j=0; j<numVars; j++) {
Thyra::DetachedVectorView<double>
my_dgdp_j(model_dgdp->col(j));
for (unsigned int i=0; i<numFns; i++) fnGrads[i][j]= my_dgdp_j[i];
}
}
else {
for (unsigned int j=0; j<numFns; j++) {
Thyra::DetachedVectorView<double>
my_dgdp_j(model_dgdp->col(j));
for (unsigned int i=0; i<numVars; i++) fnGrads[j][i]= my_dgdp_j[i];
}
}
}
}
else {
TEST_FOR_EXCEPTION(parallelLib.parallel_configuration().ea_parallel_level().server_intra_communicator()
!= MPI_COMM_NULL, std::logic_error,
"\nTriKota Parallelism Error: ModelEvaluator=null, but analysis_comm != MPI_COMMM_NULL");
}
return 0;
}
void ExplicitModelEvaluator<Scalar>::
buildInverseMassMatrix() const
{
typedef Thyra::ModelEvaluatorBase MEB;
using Teuchos::RCP;
using Thyra::createMember;
RCP<const Thyra::ModelEvaluator<Scalar> > me = this->getUnderlyingModel();
// first allocate space for the mass matrix
RCP<Thyra::LinearOpBase<Scalar> > mass = me->create_W_op();
// intialize a zero to get rid of the x-dot
if(zero_==Teuchos::null) {
zero_ = Thyra::createMember(*me->get_x_space());
Thyra::assign(zero_.ptr(),0.0);
}
// request only the mass matrix from the physics
// Model evaluator builds: alpha*u_dot + beta*F(u) = 0
MEB::InArgs<Scalar> inArgs = me->createInArgs();
inArgs.set_x(createMember(me->get_x_space()));
inArgs.set_x_dot(zero_);
inArgs.set_alpha(-1.0);
inArgs.set_beta(0.0);
// set the one time beta to ensure dirichlet conditions
// are correctly included in the mass matrix: do it for
// both epetra and Tpetra. If a panzer model evaluator has
// not been passed in...oh well you get what you asked for!
if(panzerModel_!=Teuchos::null)
panzerModel_->setOneTimeDirichletBeta(-1.0);
else if(panzerEpetraModel_!=Teuchos::null)
panzerEpetraModel_->setOneTimeDirichletBeta(-1.0);
// set only the mass matrix
MEB::OutArgs<Scalar> outArgs = me->createOutArgs();
outArgs.set_W_op(mass);
// this will fill the mass matrix operator
me->evalModel(inArgs,outArgs);
if(!massLumping_) {
invMassMatrix_ = Thyra::inverse<Scalar>(*me->get_W_factory(),mass);
}
else {
// build lumped mass matrix (assumes all positive mass entries, does a simple sum)
Teuchos::RCP<Thyra::VectorBase<Scalar> > ones = Thyra::createMember(*mass->domain());
Thyra::assign(ones.ptr(),1.0);
RCP<Thyra::VectorBase<Scalar> > invLumpMass = Thyra::createMember(*mass->range());
Thyra::apply(*mass,Thyra::NOTRANS,*ones,invLumpMass.ptr());
Thyra::reciprocal(*invLumpMass,invLumpMass.ptr());
invMassMatrix_ = Thyra::diagonal(invLumpMass);
}
}
Thyra::ModelEvaluatorBase::InArgs<Scalar> ExplicitModelEvaluator<Scalar>::
getNominalValues() const
{
typedef Thyra::ModelEvaluatorBase MEB;
MEB::InArgs<Scalar> nomVals = createInArgs();
nomVals.setArgs(this->getUnderlyingModel()->getNominalValues(),true);
return nomVals;
}
ModelEvaluatorBase::InArgs<Scalar>
DefaultStateEliminationModelEvaluator<Scalar>::createInArgs() const
{
typedef ModelEvaluatorBase MEB;
const Teuchos::RCP<const ModelEvaluator<Scalar> >
thyraModel = this->getUnderlyingModel();
const MEB::InArgs<Scalar> wrappedInArgs = thyraModel->createInArgs();
MEB::InArgsSetup<Scalar> inArgs;
inArgs.setModelEvalDescription(this->description());
inArgs.set_Np(wrappedInArgs.Np());
inArgs.setSupports(wrappedInArgs);
inArgs.setUnsupportsAndRelated(MEB::IN_ARG_x); // Wipe out x, x_dot ...
return inArgs;
}
Thyra::ModelEvaluatorBase::InArgs<Scalar>
ForwardSensitivityExplicitModelEvaluator<Scalar>::createInArgs() const
{
TEUCHOS_ASSERT( !is_null(stateModel_) );
typedef Thyra::ModelEvaluatorBase MEB;
MEB::InArgs<Scalar> stateModelInArgs = stateModel_->createInArgs();
MEB::InArgsSetup<Scalar> inArgs;
inArgs.setModelEvalDescription(this->description());
inArgs.setSupports( MEB::IN_ARG_x );
inArgs.setSupports( MEB::IN_ARG_t );
inArgs.setSupports( MEB::IN_ARG_beta,
stateModelInArgs.supports(MEB::IN_ARG_beta) );
return inArgs;
}
RCP<Thyra::VectorBase<Scalar> > eval_f_t(
const Thyra::ModelEvaluator<Scalar>& me,
Scalar t
) {
typedef Teuchos::ScalarTraits<Scalar> ST;
typedef Thyra::ModelEvaluatorBase MEB;
MEB::InArgs<Scalar> inArgs = me.createInArgs();
inArgs.set_t(t);
MEB::OutArgs<Scalar> outArgs = me.createOutArgs();
RCP<Thyra::VectorBase<Scalar> > f_out = Thyra::createMember(me.get_f_space());
V_S(outArg(*f_out),ST::zero());
outArgs.set_f(f_out);
me.evalModel(inArgs,outArgs);
return f_out;
}
void eval_model_explicit(
const Thyra::ModelEvaluator<Scalar> &model,
Thyra::ModelEvaluatorBase::InArgs<Scalar> &basePoint,
const VectorBase<Scalar>& x_in,
const typename Thyra::ModelEvaluatorBase::InArgs<Scalar>::ScalarMag &t_in,
const Ptr<VectorBase<Scalar> >& f_out
)
{
typedef Thyra::ModelEvaluatorBase MEB;
MEB::InArgs<Scalar> inArgs = model.createInArgs();
MEB::OutArgs<Scalar> outArgs = model.createOutArgs();
inArgs.setArgs(basePoint);
inArgs.set_x(Teuchos::rcp(&x_in,false));
if (inArgs.supports(MEB::IN_ARG_t)) {
inArgs.set_t(t_in);
}
// For model evaluators whose state function f(x, x_dot, t) describes
// an implicit ODE, and which accept an optional x_dot input argument,
// make sure the latter is set to null in order to request the evaluation
// of a state function corresponding to the explicit ODE formulation
// x_dot = f(x, t)
if (inArgs.supports(MEB::IN_ARG_x_dot)) {
inArgs.set_x_dot(Teuchos::null);
}
outArgs.set_f(Teuchos::rcp(&*f_out,false));
model.evalModel(inArgs,outArgs);
}
void eval_model_explicit(
const Thyra::ModelEvaluator<Scalar> &model,
Thyra::ModelEvaluatorBase::InArgs<Scalar> &basePoint,
const VectorBase<Scalar>& x_in,
const typename Thyra::ModelEvaluatorBase::InArgs<Scalar>::ScalarMag &t_in,
const Ptr<VectorBase<Scalar> >& f_out
)
{
typedef Thyra::ModelEvaluatorBase MEB;
MEB::InArgs<Scalar> inArgs = model.createInArgs();
MEB::OutArgs<Scalar> outArgs = model.createOutArgs();
inArgs.setArgs(basePoint);
inArgs.set_x(Teuchos::rcp(&x_in,false));
if (inArgs.supports(MEB::IN_ARG_t)) {
inArgs.set_t(t_in);
}
outArgs.set_f(Teuchos::rcp(&*f_out,false));
model.evalModel(inArgs,outArgs);
}
void ForwardSensitivityExplicitModelEvaluator<Scalar>::computeDerivativeMatrices(
const Thyra::ModelEvaluatorBase::InArgs<Scalar> &point
) const
{
TEUCHOS_ASSERT( !is_null(stateModel_) );
typedef Thyra::ModelEvaluatorBase MEB;
typedef Teuchos::VerboseObjectTempState<MEB> VOTSME;
Teuchos::RCP<Teuchos::FancyOStream> out = this->getOStream();
Teuchos::EVerbosityLevel verbLevel = this->getVerbLevel();
MEB::InArgs<Scalar> inArgs = stateBasePoint_;
MEB::OutArgs<Scalar> outArgs = stateModel_->createOutArgs();
if (is_null(DfDx_)) {
DfDx_ = stateModel_->create_W_op();
}
if (inArgs.supports(MEB::IN_ARG_beta)) {
inArgs.set_beta(1.0);
}
outArgs.set_W_op(DfDx_);
if (is_null(DfDp_)) {
DfDp_ = Thyra::create_DfDp_mv(
*stateModel_,p_index_,
MEB::DERIV_MV_BY_COL
).getMultiVector();
}
outArgs.set_DfDp(
p_index_,
MEB::Derivative<Scalar>(DfDp_,MEB::DERIV_MV_BY_COL)
);
VOTSME stateModel_outputTempState(stateModel_,out,verbLevel);
stateModel_->evalModel(inArgs,outArgs);
}
void restart( StepperBase<Scalar> *stepper )
{
#ifdef RYTHMOS_DEBUG
TEST_FOR_EXCEPT(0==stepper);
#endif // RYTHMOS_DEBUG
typedef Thyra::ModelEvaluatorBase MEB;
const Rythmos::StepStatus<double>
stepStatus = stepper->getStepStatus();
const RCP<const Thyra::ModelEvaluator<Scalar> >
model = stepper->getModel();
// First, copy all of the model's state, including parameter values etc.
MEB::InArgs<double> initialCondition = model->createInArgs();
initialCondition.setArgs(model->getNominalValues());
// Set the current values of the state and time
RCP<const Thyra::VectorBase<double> > x, x_dot;
Rythmos::get_x_and_x_dot(*stepper,stepStatus.time,&x,&x_dot);
initialCondition.set_x(x);
initialCondition.set_x_dot(x_dot);
initialCondition.set_t(stepStatus.time);
// Set the new initial condition back on the stepper. This will effectively
// reset the stepper to think that it is starting over again (which it is).
stepper->setInitialCondition(initialCondition);
}
bool setDefaultInitialConditionFromNominalValues(
const Thyra::ModelEvaluator<Scalar>& model,
const Ptr<StepperBase<Scalar> >& stepper
)
{
typedef ScalarTraits<Scalar> ST;
typedef Thyra::ModelEvaluatorBase MEB;
if (isInitialized(*stepper))
return false; // Already has an initial condition
MEB::InArgs<Scalar> initCond = model.getNominalValues();
if (!is_null(initCond.get_x())) {
// IC has x, we will assume that initCont.get_t() is the valid start time.
// Therefore, we just need to check that x_dot is also set or we will
// create a zero x_dot
#ifdef RYTHMOS_DEBUG
THYRA_ASSERT_VEC_SPACES( "setInitialConditionIfExists(...)",
*model.get_x_space(), *initCond.get_x()->space() );
#endif
if (initCond.supports(MEB::IN_ARG_x_dot)) {
if (is_null(initCond.get_x_dot())) {
const RCP<Thyra::VectorBase<Scalar> > x_dot =
createMember(model.get_x_space());
assign(x_dot.ptr(), ST::zero());
}
else {
#ifdef RYTHMOS_DEBUG
THYRA_ASSERT_VEC_SPACES( "setInitialConditionIfExists(...)",
*model.get_x_space(), *initCond.get_x_dot()->space() );
#endif
}
}
stepper->setInitialCondition(initCond);
return true;
}
// The model has not nominal values for which to set the initial
// conditions so wo don't do anything! The stepper will still have not
return false;
}
int main(int argc, char *argv[])
{
using std::endl;
typedef double Scalar;
typedef double ScalarMag;
using Teuchos::describe;
using Teuchos::RCP;
using Teuchos::rcp;
using Teuchos::rcp_implicit_cast;
using Teuchos::rcp_dynamic_cast;
using Teuchos::as;
using Teuchos::ParameterList;
using Teuchos::CommandLineProcessor;
typedef Teuchos::ParameterList::PrintOptions PLPrintOptions;
typedef Thyra::ModelEvaluatorBase MEB;
typedef Thyra::DefaultMultiVectorProductVectorSpace<Scalar> DMVPVS;
using Thyra::productVectorBase;
bool result, success = true;
Teuchos::GlobalMPISession mpiSession(&argc,&argv);
RCP<Epetra_Comm> epetra_comm;
#ifdef HAVE_MPI
epetra_comm = rcp( new Epetra_MpiComm(MPI_COMM_WORLD) );
#else
epetra_comm = rcp( new Epetra_SerialComm );
#endif // HAVE_MPI
RCP<Teuchos::FancyOStream>
out = Teuchos::VerboseObjectBase::getDefaultOStream();
try {
//
// Read commandline options
//
CommandLineProcessor clp;
clp.throwExceptions(false);
clp.addOutputSetupOptions(true);
std::string paramsFileName = "";
clp.setOption( "params-file", ¶msFileName,
"File name for XML parameters" );
std::string extraParamsString = "";
clp.setOption( "extra-params", &extraParamsString,
"Extra XML parameters" );
std::string extraParamsFile = "";
clp.setOption( "extra-params-file", &extraParamsFile, "File containing extra parameters in XML format.");
double maxStateError = 1e-6;
clp.setOption( "max-state-error", &maxStateError,
"The maximum allowed error in the integrated state in relation to the exact state solution" );
double finalTime = 1e-3;
clp.setOption( "final-time", &finalTime,
"Final integration time (initial time is 0.0)" );
int numTimeSteps = 10;
clp.setOption( "num-time-steps", &numTimeSteps,
"Number of (fixed) time steps. If <= 0.0, then variable time steps are taken" );
bool useBDF = false;
clp.setOption( "use-BDF", "use-BE", &useBDF,
"Use BDF or Backward Euler (BE)" );
bool useIRK = false;
clp.setOption( "use-IRK", "use-other", &useIRK,
"Use IRK or something" );
bool doFwdSensSolve = false;
clp.setOption( "fwd-sens-solve", "state-solve", &doFwdSensSolve,
"Do the forward sensitivity solve or just the state solve" );
bool doFwdSensErrorControl = false;
clp.setOption( "fwd-sens-err-cntrl", "no-fwd-sens-err-cntrl", &doFwdSensErrorControl,
"Do error control on the forward sensitivity solve or not" );
double maxRestateError = 0.0;
clp.setOption( "max-restate-error", &maxRestateError,
"The maximum allowed error between the state integrated by itself verses integrated along with DxDp" );
double maxSensError = 1e-4;
clp.setOption( "max-sens-error", &maxSensError,
"The maximum allowed error in the integrated sensitivity in relation to"
" the finite-difference sensitivity" );
Teuchos::EVerbosityLevel verbLevel = Teuchos::VERB_DEFAULT;
setVerbosityLevelOption( "verb-level", &verbLevel,
"Top-level verbosity level. By default, this gets deincremented as you go deeper into numerical objects.",
&clp );
bool testExactSensitivity = false;
clp.setOption( "test-exact-sens", "no-test-exact-sens", &testExactSensitivity,
"Test the exact sensitivity with finite differences or not." );
bool dumpFinalSolutions = false;
clp.setOption(
"dump-final-solutions", "no-dump-final-solutions", &dumpFinalSolutions,
"Determine if the final solutions are dumpped or not." );
CommandLineProcessor::EParseCommandLineReturn parse_return = clp.parse(argc,argv);
if( parse_return != CommandLineProcessor::PARSE_SUCCESSFUL ) return parse_return;
if ( Teuchos::VERB_DEFAULT == verbLevel )
verbLevel = Teuchos::VERB_LOW;
const Teuchos::EVerbosityLevel
solnVerbLevel = ( dumpFinalSolutions ? Teuchos::VERB_EXTREME : verbLevel );
//
// Get the base parameter list that all other parameter lists will be read
// from.
//
RCP<ParameterList>
paramList = Teuchos::parameterList();
if (paramsFileName.length())
updateParametersFromXmlFile( paramsFileName, paramList.ptr() );
if(extraParamsFile.length())
Teuchos::updateParametersFromXmlFile( "./"+extraParamsFile, paramList.ptr() );
if (extraParamsString.length())
updateParametersFromXmlString( extraParamsString, paramList.ptr() );
if (testExactSensitivity) {
paramList->sublist(DiagonalTransientModel_name).set("Exact Solution as Response",true);
}
paramList->validateParameters(*getValidParameters(),0); // Only validate top level lists!
//
// Create the Stratimikos linear solver factory.
//
// This is the linear solve strategy that will be used to solve for the
// linear system with the W.
//
Stratimikos::DefaultLinearSolverBuilder linearSolverBuilder;
linearSolverBuilder.setParameterList(sublist(paramList,Stratimikos_name));
RCP<Thyra::LinearOpWithSolveFactoryBase<Scalar> >
W_factory = createLinearSolveStrategy(linearSolverBuilder);
//
// Create the underlying EpetraExt::ModelEvaluator
//
RCP<EpetraExt::DiagonalTransientModel>
epetraStateModel = EpetraExt::diagonalTransientModel(
epetra_comm,
sublist(paramList,DiagonalTransientModel_name)
);
*out <<"\nepetraStateModel valid options:\n";
epetraStateModel->getValidParameters()->print(
*out, PLPrintOptions().indent(2).showTypes(true).showDoc(true)
);
//
// Create the Thyra-wrapped ModelEvaluator
//
RCP<Thyra::ModelEvaluator<double> >
stateModel = epetraModelEvaluator(epetraStateModel,W_factory);
*out << "\nParameter names = " << *stateModel->get_p_names(0) << "\n";
//
// Create the Rythmos stateStepper
//
RCP<Rythmos::TimeStepNonlinearSolver<double> >
nonlinearSolver = Rythmos::timeStepNonlinearSolver<double>();
RCP<ParameterList>
nonlinearSolverPL = sublist(paramList,TimeStepNonlinearSolver_name);
nonlinearSolverPL->get("Default Tol",1e-3*maxStateError); // Set default if not set
nonlinearSolver->setParameterList(nonlinearSolverPL);
RCP<Rythmos::StepperBase<Scalar> > stateStepper;
if (useBDF) {
stateStepper = rcp(
new Rythmos::ImplicitBDFStepper<double>(
stateModel, nonlinearSolver
)
);
}
else if (useIRK) {
// We need a separate LOWSFB object for the IRK stepper
RCP<Thyra::LinearOpWithSolveFactoryBase<Scalar> >
irk_W_factory = createLinearSolveStrategy(linearSolverBuilder);
RCP<Rythmos::RKButcherTableauBase<double> > irkbt = Rythmos::createRKBT<double>("Backward Euler");
stateStepper = Rythmos::implicitRKStepper<double>(
stateModel, nonlinearSolver, irk_W_factory, irkbt
);
}
else {
stateStepper = rcp(
new Rythmos::BackwardEulerStepper<double>(
stateModel, nonlinearSolver
)
);
}
*out <<"\nstateStepper:\n" << describe(*stateStepper,verbLevel);
*out <<"\nstateStepper valid options:\n";
stateStepper->getValidParameters()->print(
*out, PLPrintOptions().indent(2).showTypes(true).showDoc(true)
);
stateStepper->setParameterList(sublist(paramList,RythmosStepper_name));
//
// Setup finite difference objects that will be used for tests
//
Thyra::DirectionalFiniteDiffCalculator<Scalar> fdCalc;
fdCalc.setParameterList(sublist(paramList,FdCalc_name));
fdCalc.setOStream(out);
fdCalc.setVerbLevel(verbLevel);
//
// Use a StepperAsModelEvaluator to integrate the state
//
const MEB::InArgs<Scalar>
state_ic = stateModel->getNominalValues();
*out << "\nstate_ic:\n" << describe(state_ic,verbLevel);
RCP<Rythmos::IntegratorBase<Scalar> > integrator;
{
RCP<ParameterList>
integratorPL = sublist(paramList,RythmosIntegrator_name);
integratorPL->set( "Take Variable Steps", as<bool>(numTimeSteps < 0) );
integratorPL->set( "Fixed dt", as<double>((finalTime - state_ic.get_t())/numTimeSteps) );
RCP<Rythmos::IntegratorBase<Scalar> >
defaultIntegrator = Rythmos::controlledDefaultIntegrator<Scalar>(
Rythmos::simpleIntegrationControlStrategy<Scalar>(integratorPL)
);
integrator = defaultIntegrator;
}
RCP<Rythmos::StepperAsModelEvaluator<Scalar> >
stateIntegratorAsModel = Rythmos::stepperAsModelEvaluator(
stateStepper, integrator, state_ic
);
stateIntegratorAsModel->setVerbLevel(verbLevel);
*out << "\nUse the StepperAsModelEvaluator to integrate state x(p,finalTime) ... \n";
RCP<Thyra::VectorBase<Scalar> > x_final;
{
Teuchos::OSTab tab(out);
x_final = createMember(stateIntegratorAsModel->get_g_space(0));
eval_g(
*stateIntegratorAsModel,
0, *state_ic.get_p(0),
finalTime,
0, &*x_final
);
*out
<< "\nx_final = x(p,finalTime) evaluated using stateIntegratorAsModel:\n"
<< describe(*x_final,solnVerbLevel);
}
//
// Test the integrated state against the exact analytical state solution
//
RCP<const Thyra::VectorBase<Scalar> >
exact_x_final = create_Vector(
epetraStateModel->getExactSolution(finalTime),
stateModel->get_x_space()
);
result = Thyra::testRelNormDiffErr(
"exact_x_final", *exact_x_final, "x_final", *x_final,
"maxStateError", maxStateError, "warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
//
// Solve and test the forward sensitivity computation
//
if (doFwdSensSolve) {
//
// Create the forward sensitivity stepper
//
RCP<Rythmos::ForwardSensitivityStepper<Scalar> > stateAndSensStepper =
Rythmos::forwardSensitivityStepper<Scalar>();
if (doFwdSensErrorControl) {
stateAndSensStepper->initializeDecoupledSteppers(
stateModel, 0, stateModel->getNominalValues(),
stateStepper, nonlinearSolver,
integrator->cloneIntegrator(), finalTime
);
}
else {
stateAndSensStepper->initializeSyncedSteppers(
stateModel, 0, stateModel->getNominalValues(),
stateStepper, nonlinearSolver
);
// The above call will result in stateStepper and nonlinearSolver being
// cloned. This helps to ensure consistency between the state and
// sensitivity computations!
}
//
// Set the initial condition for the state and forward sensitivities
//
RCP<Thyra::VectorBase<Scalar> > s_bar_init
= createMember(stateAndSensStepper->getFwdSensModel()->get_x_space());
assign( s_bar_init.ptr(), 0.0 );
RCP<Thyra::VectorBase<Scalar> > s_bar_dot_init
= createMember(stateAndSensStepper->getFwdSensModel()->get_x_space());
assign( s_bar_dot_init.ptr(), 0.0 );
// Above, I believe that these are the correct initial conditions for
// s_bar and s_bar_dot given how the EpetraExt::DiagonalTransientModel
// is currently implemented!
RCP<const Rythmos::StateAndForwardSensitivityModelEvaluator<Scalar> >
stateAndSensModel = stateAndSensStepper->getStateAndFwdSensModel();
MEB::InArgs<Scalar>
state_and_sens_ic = stateAndSensStepper->getModel()->createInArgs();
// Copy time, parameters etc.
state_and_sens_ic.setArgs(state_ic);
// Set initial condition for x_bar = [ x; s_bar ]
state_and_sens_ic.set_x(
stateAndSensModel->create_x_bar_vec(state_ic.get_x(),s_bar_init)
);
// Set initial condition for x_bar_dot = [ x_dot; s_bar_dot ]
state_and_sens_ic.set_x_dot(
stateAndSensModel->create_x_bar_vec(state_ic.get_x_dot(),s_bar_dot_init)
);
*out << "\nstate_and_sens_ic:\n" << describe(state_and_sens_ic,verbLevel);
stateAndSensStepper->setInitialCondition(state_and_sens_ic);
//
// Use a StepperAsModelEvaluator to integrate the state+sens
//
RCP<Rythmos::StepperAsModelEvaluator<Scalar> >
stateAndSensIntegratorAsModel = Rythmos::stepperAsModelEvaluator(
rcp_implicit_cast<Rythmos::StepperBase<Scalar> >(stateAndSensStepper),
integrator, state_and_sens_ic
);
stateAndSensIntegratorAsModel->setVerbLevel(verbLevel);
*out << "\nUse the StepperAsModelEvaluator to integrate state + sens x_bar(p,finalTime) ... \n";
RCP<Thyra::VectorBase<Scalar> > x_bar_final;
{
Teuchos::OSTab tab(out);
x_bar_final = createMember(stateAndSensIntegratorAsModel->get_g_space(0));
eval_g(
*stateAndSensIntegratorAsModel,
0, *state_ic.get_p(0),
finalTime,
0, &*x_bar_final
);
*out
<< "\nx_bar_final = x_bar(p,finalTime) evaluated using stateAndSensIntegratorAsModel:\n"
<< describe(*x_bar_final,solnVerbLevel);
}
//
// Test that the state computed above is same as computed initially!
//
*out << "\nChecking that x(p,finalTime) computed as part of x_bar above is the same ...\n";
{
Teuchos::OSTab tab(out);
RCP<const Thyra::VectorBase<Scalar> >
x_in_x_bar_final = productVectorBase<Scalar>(x_bar_final)->getVectorBlock(0);
result = Thyra::testRelNormDiffErr<Scalar>(
"x_final", *x_final,
"x_in_x_bar_final", *x_in_x_bar_final,
"maxRestateError", maxRestateError,
"warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
}
//
// Compute DxDp using finite differences
//
*out << "\nApproximating DxDp(p,t) using directional finite differences of integrator for x(p,t) ...\n";
RCP<Thyra::MultiVectorBase<Scalar> > DxDp_fd_final;
{
Teuchos::OSTab tab(out);
MEB::InArgs<Scalar>
fdBasePoint = stateIntegratorAsModel->createInArgs();
fdBasePoint.set_t(finalTime);
fdBasePoint.set_p(0,stateModel->getNominalValues().get_p(0));
DxDp_fd_final = createMembers(
stateIntegratorAsModel->get_g_space(0),
stateIntegratorAsModel->get_p_space(0)->dim()
);
typedef Thyra::DirectionalFiniteDiffCalculatorTypes::SelectedDerivatives
SelectedDerivatives;
MEB::OutArgs<Scalar> fdOutArgs =
fdCalc.createOutArgs(
*stateIntegratorAsModel,
SelectedDerivatives().supports(MEB::OUT_ARG_DgDp,0,0)
);
fdOutArgs.set_DgDp(0,0,DxDp_fd_final);
// Silence the model evaluators that are called. The fdCal object
// will show all of the inputs and outputs for each call.
stateStepper->setVerbLevel(Teuchos::VERB_NONE);
stateIntegratorAsModel->setVerbLevel(Teuchos::VERB_NONE);
fdCalc.calcDerivatives(
*stateIntegratorAsModel, fdBasePoint,
stateIntegratorAsModel->createOutArgs(), // Don't bother with function value
fdOutArgs
);
*out
<< "\nFinite difference DxDp_fd_final = DxDp(p,finalTime): "
<< describe(*DxDp_fd_final,solnVerbLevel);
}
//
// Test that the integrated sens and the F.D. sens are similar
//
*out << "\nChecking that integrated DxDp(p,finalTime) and finite-diff DxDp(p,finalTime) are similar ...\n";
{
Teuchos::OSTab tab(out);
RCP<const Thyra::VectorBase<Scalar> >
DxDp_vec_final = Thyra::productVectorBase<Scalar>(x_bar_final)->getVectorBlock(1);
RCP<const Thyra::VectorBase<Scalar> >
DxDp_fd_vec_final = Thyra::multiVectorProductVector(
rcp_dynamic_cast<const Thyra::DefaultMultiVectorProductVectorSpace<Scalar> >(
DxDp_vec_final->range()
),
DxDp_fd_final
);
result = Thyra::testRelNormDiffErr(
"DxDp_vec_final", *DxDp_vec_final,
"DxDp_fd_vec_final", *DxDp_fd_vec_final,
"maxSensError", maxSensError,
"warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
}
}
}
TEUCHOS_STANDARD_CATCH_STATEMENTS(true,*out,success);
if(success)
*out << "\nEnd Result: TEST PASSED" << endl;
else
*out << "\nEnd Result: TEST FAILED" << endl;
return ( success ? 0 : 1 );
} // end main() [Doxygen looks for this!]
void ImplicitRKModelEvaluator<Scalar>::evalModelImpl(
const Thyra::ModelEvaluatorBase::InArgs<Scalar>& inArgs_bar,
const Thyra::ModelEvaluatorBase::OutArgs<Scalar>& outArgs_bar
) const
{
using Teuchos::rcp_dynamic_cast;
typedef ScalarTraits<Scalar> ST;
typedef Thyra::ModelEvaluatorBase MEB;
typedef Thyra::VectorBase<Scalar> VB;
typedef Thyra::ProductVectorBase<Scalar> PVB;
typedef Thyra::BlockedLinearOpBase<Scalar> BLWB;
TEST_FOR_EXCEPTION( !isInitialized_, std::logic_error,
"Error! initializeIRKModel must be called before evalModel\n"
);
TEST_FOR_EXCEPTION( !setTimeStepPointCalled_, std::logic_error,
"Error! setTimeStepPoint must be called before evalModel"
);
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_GEN_BEGIN(
"Rythmos::ImplicitRKModelEvaluator",inArgs_bar,outArgs_bar,daeModel_
);
//
// A) Unwrap the inArgs and outArgs to get at product vectors and block op
//
const RCP<const PVB> x_bar = rcp_dynamic_cast<const PVB>(inArgs_bar.get_x(), true);
const RCP<PVB> f_bar = rcp_dynamic_cast<PVB>(outArgs_bar.get_f(), true);
const RCP<BLWB> W_op_bar = rcp_dynamic_cast<BLWB>(outArgs_bar.get_W_op(), true);
//
// B) Assemble f_bar and W_op_bar by looping over stages
//
MEB::InArgs<Scalar> daeInArgs = daeModel_->createInArgs();
MEB::OutArgs<Scalar> daeOutArgs = daeModel_->createOutArgs();
const RCP<VB> x_i = createMember(daeModel_->get_x_space());
daeInArgs.setArgs(basePoint_);
const int numStages = irkButcherTableau_->numStages();
for ( int i = 0; i < numStages; ++i ) {
// B.1) Setup the DAE's inArgs for stage f(i) ...
assembleIRKState( i, irkButcherTableau_->A(), delta_t_, *x_old_, *x_bar, outArg(*x_i) );
daeInArgs.set_x( x_i );
daeInArgs.set_x_dot( x_bar->getVectorBlock(i) );
daeInArgs.set_t( t_old_ + irkButcherTableau_->c()(i) * delta_t_ );
Scalar alpha = ST::zero();
if (i == 0) {
alpha = ST::one();
} else {
alpha = ST::zero();
}
Scalar beta = delta_t_ * irkButcherTableau_->A()(i,0);
daeInArgs.set_alpha( alpha );
daeInArgs.set_beta( beta );
// B.2) Setup the DAE's outArgs for stage f(i) ...
if (!is_null(f_bar))
daeOutArgs.set_f( f_bar->getNonconstVectorBlock(i) );
if (!is_null(W_op_bar)) {
daeOutArgs.set_W_op(W_op_bar->getNonconstBlock(i,0));
}
// B.3) Compute f_bar(i) and/or W_op_bar(i,0) ...
daeModel_->evalModel( daeInArgs, daeOutArgs );
daeOutArgs.set_f(Teuchos::null);
daeOutArgs.set_W_op(Teuchos::null);
// B.4) Evaluate the rest of the W_op_bar(i,j=1...numStages-1) ...
if (!is_null(W_op_bar)) {
for ( int j = 1; j < numStages; ++j ) {
alpha = ST::zero();
if (i == j) {
alpha = ST::one();
} else {
alpha = ST::zero();
}
beta = delta_t_ * irkButcherTableau_->A()(i,j);
daeInArgs.set_alpha( alpha );
daeInArgs.set_beta( beta );
daeOutArgs.set_W_op(W_op_bar->getNonconstBlock(i,j));
daeModel_->evalModel( daeInArgs, daeOutArgs );
daeOutArgs.set_W_op(Teuchos::null);
}
}
}
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_END();
}
int main(int argc, char *argv[])
{
using std::endl;
typedef double Scalar;
// typedef double ScalarMag; // unused
typedef Teuchos::ScalarTraits<Scalar> ST;
using Teuchos::describe;
using Teuchos::Array;
using Teuchos::RCP;
using Teuchos::rcp;
using Teuchos::outArg;
using Teuchos::rcp_implicit_cast;
using Teuchos::rcp_dynamic_cast;
using Teuchos::as;
using Teuchos::ParameterList;
using Teuchos::CommandLineProcessor;
typedef Teuchos::ParameterList::PrintOptions PLPrintOptions;
typedef Thyra::ModelEvaluatorBase MEB;
bool result, success = true;
Teuchos::GlobalMPISession mpiSession(&argc,&argv);
RCP<Epetra_Comm> epetra_comm;
#ifdef HAVE_MPI
epetra_comm = rcp( new Epetra_MpiComm(MPI_COMM_WORLD) );
#else
epetra_comm = rcp( new Epetra_SerialComm );
#endif // HAVE_MPI
RCP<Teuchos::FancyOStream>
out = Teuchos::VerboseObjectBase::getDefaultOStream();
try {
//
// Read commandline options
//
CommandLineProcessor clp;
clp.throwExceptions(false);
clp.addOutputSetupOptions(true);
std::string paramsFileName = "";
clp.setOption( "params-file", ¶msFileName,
"File name for XML parameters" );
double t_final = 1e-3;
clp.setOption( "final-time", &t_final,
"Final integration time (initial time is 0.0)" );
int numTimeSteps = 10;
clp.setOption( "num-time-steps", &numTimeSteps,
"Number of (fixed) time steps. If <= 0.0, then variable time steps are taken" );
double maxStateError = 1e-14;
clp.setOption( "max-state-error", &maxStateError,
"Maximum relative error in the integrated state allowed" );
Teuchos::EVerbosityLevel verbLevel = Teuchos::VERB_DEFAULT;
setVerbosityLevelOption( "verb-level", &verbLevel,
"Top-level verbosity level. By default, this gets deincremented as you go deeper into numerical objects.",
&clp );
Teuchos::EVerbosityLevel solnVerbLevel = Teuchos::VERB_DEFAULT;
setVerbosityLevelOption( "soln-verb-level", &solnVerbLevel,
"Solution verbosity level",
&clp );
CommandLineProcessor::EParseCommandLineReturn parse_return = clp.parse(argc,argv);
if( parse_return != CommandLineProcessor::PARSE_SUCCESSFUL ) return parse_return;
//
*out << "\nA) Get the base parameter list ...\n";
//
RCP<ParameterList>
paramList = Teuchos::parameterList();
if (paramsFileName.length())
updateParametersFromXmlFile( paramsFileName, paramList.ptr() );
paramList->validateParameters(*getValidParameters());
const Scalar t_init = 0.0;
const Rythmos::TimeRange<Scalar> fwdTimeRange(t_init, t_final);
const Scalar delta_t = t_final / numTimeSteps;
*out << "\ndelta_t = " << delta_t;
//
*out << "\nB) Create the Stratimikos linear solver factory ...\n";
//
// This is the linear solve strategy that will be used to solve for the
// linear system with the W.
//
Stratimikos::DefaultLinearSolverBuilder linearSolverBuilder;
linearSolverBuilder.setParameterList(sublist(paramList,Stratimikos_name));
RCP<Thyra::LinearOpWithSolveFactoryBase<Scalar> >
W_factory = createLinearSolveStrategy(linearSolverBuilder);
//
*out << "\nC) Create and initalize the forward model ...\n";
//
// C.1) Create the underlying EpetraExt::ModelEvaluator
RCP<EpetraExt::DiagonalTransientModel> epetraStateModel =
EpetraExt::diagonalTransientModel(
epetra_comm,
sublist(paramList,DiagonalTransientModel_name)
);
*out <<"\nepetraStateModel valid options:\n";
epetraStateModel->getValidParameters()->print(
*out, PLPrintOptions().indent(2).showTypes(true).showDoc(true)
);
// C.2) Create the Thyra-wrapped ModelEvaluator
RCP<Thyra::ModelEvaluator<double> > fwdStateModel =
epetraModelEvaluator(epetraStateModel, W_factory);
const RCP<const Thyra::VectorSpaceBase<Scalar> >
x_space = fwdStateModel->get_x_space();
const RCP<const Thyra::VectorBase<Scalar> >
gamma = Thyra::create_Vector(epetraStateModel->get_gamma(), x_space);
*out << "\ngamma = " << describe(*gamma, solnVerbLevel);
//
*out << "\nD) Create the stepper and integrator for the forward problem ...\n";
//
RCP<Rythmos::TimeStepNonlinearSolver<double> > fwdTimeStepSolver =
Rythmos::timeStepNonlinearSolver<double>();
RCP<Rythmos::StepperBase<Scalar> > fwdStateStepper =
Rythmos::backwardEulerStepper<double>(fwdStateModel, fwdTimeStepSolver);
fwdStateStepper->setParameterList(sublist(paramList, RythmosStepper_name));
RCP<Rythmos::IntegratorBase<Scalar> > fwdStateIntegrator;
{
RCP<ParameterList>
integrationControlPL = sublist(paramList, RythmosIntegrationControl_name);
integrationControlPL->set( "Take Variable Steps", false );
integrationControlPL->set( "Fixed dt", as<double>(delta_t) );
RCP<Rythmos::IntegratorBase<Scalar> >
defaultIntegrator = Rythmos::controlledDefaultIntegrator<Scalar>(
Rythmos::simpleIntegrationControlStrategy<Scalar>(integrationControlPL)
);
fwdStateIntegrator = defaultIntegrator;
}
fwdStateIntegrator->setParameterList(sublist(paramList, RythmosIntegrator_name));
//
*out << "\nE) Solve the forward problem ...\n";
//
const MEB::InArgs<Scalar>
state_ic = fwdStateModel->getNominalValues();
*out << "\nstate_ic:\n" << describe(state_ic,solnVerbLevel);
fwdStateStepper->setInitialCondition(state_ic);
fwdStateIntegrator->setStepper(fwdStateStepper, t_final);
Array<RCP<const Thyra::VectorBase<Scalar> > > x_final_array;
fwdStateIntegrator->getFwdPoints(
Teuchos::tuple<Scalar>(t_final), &x_final_array, NULL, NULL
);
const RCP<const Thyra::VectorBase<Scalar> > x_final = x_final_array[0];
*out << "\nx_final:\n" << describe(*x_final, solnVerbLevel);
//
*out << "\nF) Check the solution to the forward problem ...\n";
//
const RCP<Thyra::VectorBase<Scalar> >
x_beta = createMember(x_space),
x_final_be_exact = createMember(x_space);
{
Thyra::ConstDetachedVectorView<Scalar> d_gamma(*gamma);
Thyra::ConstDetachedVectorView<Scalar> d_x_ic(*state_ic.get_x());
Thyra::DetachedVectorView<Scalar> d_x_beta(*x_beta);
Thyra::DetachedVectorView<Scalar> d_x_final_be_exact(*x_final_be_exact);
const int n = d_gamma.subDim();
for ( int i = 0; i < n; ++i ) {
d_x_beta(i) = 1.0 / ( 1.0 - delta_t * d_gamma(i) );
d_x_final_be_exact(i) = integralPow(d_x_beta(i), numTimeSteps) * d_x_ic(i);
}
}
*out << "\nx_final_be_exact:\n" << describe(*x_final_be_exact, solnVerbLevel);
result = Thyra::testRelNormDiffErr<Scalar>(
"x_final", *x_final,
"x_final_be_exact", *x_final_be_exact,
"maxStateError", maxStateError,
"warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
//
*out << "\nG) Create the Adjoint ME wrapper object ...\n";
//
RCP<Thyra::ModelEvaluator<double> > adjModel =
Rythmos::adjointModelEvaluator<double>(
fwdStateModel, fwdTimeRange
);
//
*out << "\nH) Create a stepper and integrator for the adjoint ...\n";
//
RCP<Thyra::LinearNonlinearSolver<double> > adjTimeStepSolver =
Thyra::linearNonlinearSolver<double>();
RCP<Rythmos::StepperBase<Scalar> > adjStepper =
Rythmos::backwardEulerStepper<double>(adjModel, adjTimeStepSolver);
adjStepper->setParameterList(sublist(paramList, RythmosStepper_name));
RCP<Rythmos::IntegratorBase<Scalar> > adjIntegrator =
fwdStateIntegrator->cloneIntegrator();
//
*out << "\nI) Set up the initial condition for the adjoint at the final time ...\n";
//
const RCP<const Thyra::VectorSpaceBase<Scalar> >
f_space = fwdStateModel->get_f_space();
// lambda(t_final) = x_final
const RCP<Thyra::VectorBase<Scalar> > lambda_ic = createMember(f_space);
V_V( outArg(*lambda_ic), *x_final_be_exact );
// lambda_dot(t_final,i) = - gamma(i) * lambda(t_final,i)
const RCP<Thyra::VectorBase<Scalar> > lambda_dot_ic = createMember(f_space);
Thyra::V_S<Scalar>( outArg(*lambda_dot_ic), ST::zero() );
Thyra::ele_wise_prod<Scalar>( -ST::one(), *gamma, *lambda_ic,
outArg(*lambda_dot_ic) );
MEB::InArgs<Scalar> adj_ic = adjModel->getNominalValues();
adj_ic.set_x(lambda_ic);
adj_ic.set_x_dot(lambda_dot_ic);
*out << "\nadj_ic:\n" << describe(adj_ic,solnVerbLevel);
//
*out << "\nJ) Integrate the adjoint backwards in time (using backward time) ...\n";
//
adjStepper->setInitialCondition(adj_ic);
adjIntegrator->setStepper(adjStepper, fwdTimeRange.length());
Array<RCP<const Thyra::VectorBase<Scalar> > > lambda_final_array;
adjIntegrator->getFwdPoints(
Teuchos::tuple<Scalar>(fwdTimeRange.length()), &lambda_final_array, NULL, NULL
);
const RCP<const Thyra::VectorBase<Scalar> > lambda_final = lambda_final_array[0];
*out << "\nlambda_final:\n" << describe(*lambda_final, solnVerbLevel);
//
*out << "\nK) Test the final adjoint againt exact discrete solution ...\n";
//
{
const RCP<Thyra::VectorBase<Scalar> >
lambda_final_be_exact = createMember(x_space);
{
Thyra::ConstDetachedVectorView<Scalar> d_gamma(*gamma);
Thyra::ConstDetachedVectorView<Scalar> d_x_final(*x_final);
Thyra::DetachedVectorView<Scalar> d_x_beta(*x_beta);
Thyra::DetachedVectorView<Scalar> d_lambda_final_be_exact(*lambda_final_be_exact);
const int n = d_gamma.subDim();
for ( int i = 0; i < n; ++i ) {
d_lambda_final_be_exact(i) = integralPow(d_x_beta(i), numTimeSteps) * d_x_final(i);
}
}
*out << "\nlambda_final_be_exact:\n" << describe(*lambda_final_be_exact, solnVerbLevel);
result = Thyra::testRelNormDiffErr<Scalar>(
"lambda_final", *lambda_final,
"lambda_final_be_exact", *lambda_final_be_exact,
"maxStateError", maxStateError,
"warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
}
//
*out << "\nL) Test the reduced gradient from the adjoint against the discrete forward reduced gradient ...\n";
//
{
const RCP<const Thyra::VectorBase<Scalar> >
d_d_hat_d_p_from_lambda = lambda_final; // See above
const RCP<Thyra::VectorBase<Scalar> >
d_d_hat_d_p_be_exact = createMember(x_space);
{
Thyra::ConstDetachedVectorView<Scalar> d_x_ic(*state_ic.get_x());
Thyra::DetachedVectorView<Scalar> d_x_beta(*x_beta);
Thyra::DetachedVectorView<Scalar> d_d_d_hat_d_p_be_exact(*d_d_hat_d_p_be_exact);
const int n = d_x_ic.subDim();
for ( int i = 0; i < n; ++i ) {
d_d_d_hat_d_p_be_exact(i) = integralPow(d_x_beta(i), 2*numTimeSteps) * d_x_ic(i);
}
}
*out << "\nd_d_hat_d_p_be_exact:\n" << describe(*d_d_hat_d_p_be_exact, solnVerbLevel);
result = Thyra::testRelNormDiffErr<Scalar>(
"d_d_hat_d_p_from_lambda", *d_d_hat_d_p_from_lambda,
"d_d_hat_d_p_be_exact", *d_d_hat_d_p_be_exact,
"maxStateError", maxStateError,
"warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
}
}
TEUCHOS_STANDARD_CATCH_STATEMENTS(true,*out,success);
if(success)
*out << "\nEnd Result: TEST PASSED" << endl;
else
*out << "\nEnd Result: TEST FAILED" << endl;
return ( success ? 0 : 1 );
} // end main() [Doxygen looks for this!]
void DefaultModelEvaluatorWithSolveFactory<Scalar>::evalModelImpl(
const ModelEvaluatorBase::InArgs<Scalar> &inArgs,
const ModelEvaluatorBase::OutArgs<Scalar> &outArgs
) const
{
typedef ModelEvaluatorBase MEB;
using Teuchos::rcp;
using Teuchos::rcp_const_cast;
using Teuchos::rcp_dynamic_cast;
using Teuchos::OSTab;
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_BEGIN(
"Thyra::DefaultModelEvaluatorWithSolveFactory",inArgs,outArgs
);
Teuchos::Time timer("");
typedef Teuchos::VerboseObjectTempState<LinearOpWithSolveFactoryBase<Scalar> >
VOTSLOWSF;
VOTSLOWSF W_factory_outputTempState(W_factory_,out,verbLevel);
// InArgs
MEB::InArgs<Scalar> wrappedInArgs = thyraModel->createInArgs();
wrappedInArgs.setArgs(inArgs,true);
// OutArgs
MEB::OutArgs<Scalar> wrappedOutArgs = thyraModel->createOutArgs();
wrappedOutArgs.setArgs(outArgs,true);
RCP<LinearOpWithSolveBase<Scalar> > W;
RCP<const LinearOpBase<Scalar> > fwdW;
if( outArgs.supports(MEB::OUT_ARG_W) && (W = outArgs.get_W()).get() ) {
Thyra::uninitializeOp<Scalar>(*W_factory_, W.ptr(), outArg(fwdW));
{
// Handle this case later if we need to!
const bool both_W_and_W_op_requested = nonnull(outArgs.get_W_op());
TEUCHOS_TEST_FOR_EXCEPT(both_W_and_W_op_requested);
}
RCP<LinearOpBase<Scalar> > nonconst_fwdW;
if(fwdW.get()) {
nonconst_fwdW = rcp_const_cast<LinearOpBase<Scalar> >(fwdW);
}
else {
nonconst_fwdW = thyraModel->create_W_op();
fwdW = nonconst_fwdW;
}
wrappedOutArgs.set_W_op(nonconst_fwdW);
}
// Do the evaluation
if(out.get() && includesVerbLevel(verbLevel,Teuchos::VERB_LOW))
*out << "\nEvaluating the output functions on model \'"
<< thyraModel->description() << "\' ...\n";
timer.start(true);
thyraModel->evalModel(wrappedInArgs,wrappedOutArgs);
timer.stop();
if(out.get() && includesVerbLevel(verbLevel,Teuchos::VERB_LOW))
OSTab(out).o() << "\nTime to evaluate underlying model = "
<< timer.totalElapsedTime()<<" sec\n";
// Postprocess arguments
if(out.get() && includesVerbLevel(verbLevel,Teuchos::VERB_LOW))
*out << "\nPost processing the output objects ...\n";
timer.start(true);
if( W.get() ) {
Thyra::initializeOp<Scalar>(*W_factory_, fwdW, W.ptr());
W->setVerbLevel(this->getVerbLevel());
W->setOStream(this->getOStream());
}
timer.stop();
if(out.get() && includesVerbLevel(verbLevel,Teuchos::VERB_LOW))
OSTab(out).o() << "\nTime to process output objects = "
<< timer.totalElapsedTime()<<" sec\n";
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_END();
}
void TimeDiscretizedBackwardEulerModelEvaluator<Scalar>::evalModelImpl(
const Thyra::ModelEvaluatorBase::InArgs<Scalar>& inArgs_bar,
const Thyra::ModelEvaluatorBase::OutArgs<Scalar>& outArgs_bar
) const
{
using Teuchos::rcp_dynamic_cast;
typedef ScalarTraits<Scalar> ST;
typedef Thyra::ModelEvaluatorBase MEB;
typedef Thyra::VectorBase<Scalar> VB;
typedef Thyra::ProductVectorBase<Scalar> PVB;
typedef Thyra::BlockedLinearOpBase<Scalar> BLWB;
/*
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_GEN_BEGIN(
"Rythmos::ImplicitRKModelEvaluator",inArgs_bar,outArgs_bar,daeModel_
);
*/
TEST_FOR_EXCEPTION( delta_t_ <= 0.0, std::logic_error,
"Error, you have not initialized this object correctly!" );
//
// A) Unwrap the inArgs and outArgs to get at product vectors and block op
//
const RCP<const PVB> x_bar = rcp_dynamic_cast<const PVB>(inArgs_bar.get_x(), true);
const RCP<PVB> f_bar = rcp_dynamic_cast<PVB>(outArgs_bar.get_f(), true);
RCP<BLWB> W_op_bar = rcp_dynamic_cast<BLWB>(outArgs_bar.get_W_op(), true);
//
// B) Assemble f_bar and W_op_bar by looping over stages
//
MEB::InArgs<Scalar> daeInArgs = daeModel_->createInArgs();
MEB::OutArgs<Scalar> daeOutArgs = daeModel_->createOutArgs();
const RCP<VB> x_dot_i = createMember(daeModel_->get_x_space());
daeInArgs.setArgs(initCond_);
Scalar t_i = initTime_; // ToDo: Define t_init!
const Scalar oneOverDeltaT = 1.0/delta_t_;
for ( int i = 0; i < numTimeSteps_; ++i ) {
// B.1) Setup the DAE's inArgs for time step eqn f(i) ...
const RCP<const Thyra::VectorBase<Scalar> >
x_i = x_bar->getVectorBlock(i),
x_im1 = ( i==0 ? initCond_.get_x() : x_bar->getVectorBlock(i-1) );
V_VmV( x_dot_i.ptr(), *x_i, *x_im1 ); // x_dot_i = 1/dt * ( x[i] - x[i-1] )
Vt_S( x_dot_i.ptr(), oneOverDeltaT ); // ...
daeInArgs.set_x_dot( x_dot_i );
daeInArgs.set_x( x_i );
daeInArgs.set_t( t_i );
daeInArgs.set_alpha( oneOverDeltaT );
daeInArgs.set_beta( 1.0 );
// B.2) Setup the DAE's outArgs for f(i) and/or W(i,i) ...
if (!is_null(f_bar))
daeOutArgs.set_f( f_bar->getNonconstVectorBlock(i) );
if (!is_null(W_op_bar))
daeOutArgs.set_W_op(W_op_bar->getNonconstBlock(i,i).assert_not_null());
// B.3) Compute f_bar(i) and/or W_op_bar(i,i) ...
daeModel_->evalModel( daeInArgs, daeOutArgs );
daeOutArgs.set_f(Teuchos::null);
daeOutArgs.set_W_op(Teuchos::null);
// B.4) Evaluate W_op_bar(i,i-1)
if ( !is_null(W_op_bar) && i > 0 ) {
daeInArgs.set_alpha( -oneOverDeltaT );
daeInArgs.set_beta( 0.0 );
daeOutArgs.set_W_op(W_op_bar->getNonconstBlock(i,i-1).assert_not_null());
daeModel_->evalModel( daeInArgs, daeOutArgs );
daeOutArgs.set_W_op(Teuchos::null);
}
//
t_i += delta_t_;
}
/*
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_END();
*/
}
void DefaultStateEliminationModelEvaluator<Scalar>::evalModelImpl(
const ModelEvaluatorBase::InArgs<Scalar> &inArgs,
const ModelEvaluatorBase::OutArgs<Scalar> &outArgs
) const
{
typedef ModelEvaluatorBase MEB;
using Teuchos::RCP;
using Teuchos::rcp;
using Teuchos::rcp_const_cast;
using Teuchos::rcp_dynamic_cast;
using Teuchos::OSTab;
Teuchos::Time totalTimer(""), timer("");
totalTimer.start(true);
const Teuchos::RCP<Teuchos::FancyOStream> out = this->getOStream();
const Teuchos::EVerbosityLevel verbLevel = this->getVerbLevel();
Teuchos::OSTab tab(out);
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_LOW))
*out << "\nEntering Thyra::DefaultStateEliminationModelEvaluator<Scalar>::evalModel(...) ...\n";
const Teuchos::RCP<const ModelEvaluator<Scalar> >
thyraModel = this->getUnderlyingModel();
const int Np = outArgs.Np(), Ng = outArgs.Ng();
// Get the intial state guess if not already gotten
if (is_null(x_guess_solu_)) {
const ModelEvaluatorBase::InArgs<Scalar>
nominalValues = thyraModel->getNominalValues();
if(nominalValues.get_x().get()) {
x_guess_solu_ = nominalValues.get_x()->clone_v();
}
else {
x_guess_solu_ = createMember(thyraModel->get_x_space());
assign(&*x_guess_solu_,Scalar(0.0));
}
}
// Reset the nominal values
MEB::InArgs<Scalar> wrappedNominalValues = thyraModel->getNominalValues();
wrappedNominalValues.setArgs(inArgs,true);
wrappedNominalValues.set_x(x_guess_solu_);
typedef Teuchos::VerboseObjectTempState<ModelEvaluatorBase> VOTSME;
//VOTSME thyraModel_outputTempState(rcp(&wrappedThyraModel,false),out,verbLevel);
typedef Teuchos::VerboseObjectTempState<NonlinearSolverBase<Scalar> > VOTSNSB;
VOTSNSB statSolver_outputTempState(
stateSolver_,out
,static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_LOW) ? Teuchos::VERB_LOW : Teuchos::VERB_NONE
);
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_EXTREME))
*out
<< "\ninArgs =\n" << Teuchos::describe(inArgs,verbLevel)
<< "\noutArgs on input =\n" << Teuchos::describe(outArgs,Teuchos::VERB_LOW);
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_LOW))
*out << "\nSolving f(x,...) for x ...\n";
wrappedThyraModel_->setNominalValues(
rcp(new MEB::InArgs<Scalar>(wrappedNominalValues))
);
SolveStatus<Scalar> solveStatus = stateSolver_->solve(&*x_guess_solu_,NULL);
if( solveStatus.solveStatus == SOLVE_STATUS_CONVERGED ) {
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_LOW))
*out << "\nComputing the output functions at the solved state solution ...\n";
MEB::InArgs<Scalar> wrappedInArgs = thyraModel->createInArgs();
MEB::OutArgs<Scalar> wrappedOutArgs = thyraModel->createOutArgs();
wrappedInArgs.setArgs(inArgs,true);
wrappedInArgs.set_x(x_guess_solu_);
wrappedOutArgs.setArgs(outArgs,true);
for( int l = 0; l < Np; ++l ) {
for( int j = 0; j < Ng; ++j ) {
if(
outArgs.supports(MEB::OUT_ARG_DgDp,j,l).none()==false
&& outArgs.get_DgDp(j,l).isEmpty()==false
)
{
// Set DfDp(l) and DgDx(j) to be computed!
//wrappedOutArgs.set_DfDp(l,...);
//wrappedOutArgs.set_DgDx(j,...);
TEST_FOR_EXCEPT(true);
}
}
}
thyraModel->evalModel(wrappedInArgs,wrappedOutArgs);
//
// Compute DgDp(j,l) using direct sensitivties
//
for( int l = 0; l < Np; ++l ) {
if(
wrappedOutArgs.supports(MEB::OUT_ARG_DfDp,l).none()==false
&& wrappedOutArgs.get_DfDp(l).isEmpty()==false
)
{
//
// Compute: D(l) = -inv(DfDx)*DfDp(l)
//
TEST_FOR_EXCEPT(true);
for( int j = 0; j < Ng; ++j ) {
if(
outArgs.supports(MEB::OUT_ARG_DgDp,j,l).none()==false
&& outArgs.get_DgDp(j,l).isEmpty()==false
)
{
//
// Compute: DgDp(j,l) = DgDp(j,l) + DgDx(j)*D
//
TEST_FOR_EXCEPT(true);
}
}
}
}
// ToDo: Add a mode to compute DgDp(l) using adjoint sensitivities?
}
else {
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_LOW))
*out << "\nFailed to converge, returning NaNs ...\n";
outArgs.setFailed();
}
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_EXTREME))
*out
<< "\noutArgs on output =\n" << Teuchos::describe(outArgs,verbLevel);
totalTimer.stop();
if(out.get() && static_cast<int>(verbLevel) >= static_cast<int>(Teuchos::VERB_LOW))
*out
<< "\nTotal evaluation time = "<<totalTimer.totalElapsedTime()<<" sec\n"
<< "\nLeaving Thyra::DefaultStateEliminationModelEvaluator<Scalar>::evalModel(...) ...\n";
}
int main(int argc, char *argv[])
{
using std::endl;
typedef double Scalar;
typedef double ScalarMag;
using Teuchos::describe;
using Teuchos::RCP;
using Teuchos::rcp;
using Teuchos::rcp_implicit_cast;
using Teuchos::rcp_dynamic_cast;
using Teuchos::as;
using Teuchos::ParameterList;
using Teuchos::CommandLineProcessor;
typedef Teuchos::ParameterList::PrintOptions PLPrintOptions;
typedef Thyra::ModelEvaluatorBase MEB;
using Thyra::createMember;
using Thyra::createMembers;
bool success = true;
Teuchos::GlobalMPISession mpiSession(&argc,&argv);
RCP<Epetra_Comm> epetra_comm;
#ifdef HAVE_MPI
epetra_comm = rcp( new Epetra_MpiComm(MPI_COMM_WORLD) );
#else
epetra_comm = rcp( new Epetra_SerialComm );
#endif // HAVE_MPI
RCP<Teuchos::FancyOStream>
out = Teuchos::VerboseObjectBase::getDefaultOStream();
try {
//
// A) Read commandline options
//
CommandLineProcessor clp;
clp.throwExceptions(false);
clp.addOutputSetupOptions(true);
std::string paramsFileName = "";
clp.setOption( "params-file", ¶msFileName,
"File name for XML parameters" );
std::string extraParamsString = "";
clp.setOption( "extra-params", &extraParamsString,
"Extra XML parameter string" );
Teuchos::EVerbosityLevel verbLevel = Teuchos::VERB_DEFAULT;
setVerbosityLevelOption( "verb-level", &verbLevel,
"Top-level verbosity level. By default, this gets deincremented as you go deeper into numerical objects.",
&clp );
double finalTime = 1.0;
clp.setOption( "final-time", &finalTime, "Final time (the inital time)" );
int numTimeSteps = 2;
clp.setOption( "num-time-steps", &numTimeSteps, "Number of time steps" );
bool dumpFinalSolutions = false;
clp.setOption(
"dump-final-solutions", "no-dump-final-solutions", &dumpFinalSolutions,
"Determine if the final solutions are dumpped or not." );
double maxStateError = 1e-6;
clp.setOption( "max-state-error", &maxStateError,
"The maximum allowed error in the integrated state in relation to the exact state solution" );
// ToDo: Read in more parameters
CommandLineProcessor::EParseCommandLineReturn parse_return = clp.parse(argc,argv);
if( parse_return != CommandLineProcessor::PARSE_SUCCESSFUL ) return parse_return;
if ( Teuchos::VERB_DEFAULT == verbLevel )
verbLevel = Teuchos::VERB_LOW;
const Teuchos::EVerbosityLevel
solnVerbLevel = ( dumpFinalSolutions ? Teuchos::VERB_EXTREME : verbLevel );
//
// B) Get the base parameter list that all other parameter lists will be
// read from.
//
RCP<ParameterList> paramList = Teuchos::parameterList();
if (paramsFileName.length())
updateParametersFromXmlFile( paramsFileName, &*paramList );
if (extraParamsString.length())
updateParametersFromXmlString( extraParamsString, &*paramList );
paramList->validateParameters(*getValidParameters());
//
// C) Create the Stratimikos linear solver factories.
//
// Get the linear solve strategy that will be used to solve for the linear
// system with the dae's W matrix.
Stratimikos::DefaultLinearSolverBuilder daeLinearSolverBuilder;
daeLinearSolverBuilder.setParameterList(sublist(paramList,DAELinearSolver_name));
RCP<Thyra::LinearOpWithSolveFactoryBase<Scalar> >
daeLOWSF = createLinearSolveStrategy(daeLinearSolverBuilder);
// Get the linear solve strategy that can be used to override the overall
// linear system solve
Stratimikos::DefaultLinearSolverBuilder overallLinearSolverBuilder;
overallLinearSolverBuilder.setParameterList(sublist(paramList,OverallLinearSolver_name));
RCP<Thyra::LinearOpWithSolveFactoryBase<Scalar> >
overallLOWSF = createLinearSolveStrategy(overallLinearSolverBuilder);
//
// D) Create the underlying EpetraExt::ModelEvaluator
//
RCP<EpetraExt::DiagonalTransientModel> epetraDaeModel =
EpetraExt::diagonalTransientModel(
epetra_comm,
sublist(paramList,DiagonalTransientModel_name)
);
*out <<"\nepetraDaeModel valid options:\n";
epetraDaeModel->getValidParameters()->print(
*out, PLPrintOptions().indent(2).showTypes(true).showDoc(true)
);
//
// E) Create the Thyra-wrapped ModelEvaluator
//
RCP<Thyra::ModelEvaluator<double> > daeModel =
epetraModelEvaluator(epetraDaeModel,daeLOWSF);
//
// F) Create the TimeDiscretizedBackwardEulerModelEvaluator
//
MEB::InArgs<Scalar> initCond = daeModel->createInArgs();
initCond.setArgs(daeModel->getNominalValues());
RCP<Thyra::ModelEvaluator<Scalar> >
discretizedModel = Rythmos::timeDiscretizedBackwardEulerModelEvaluator<Scalar>(
daeModel, initCond, finalTime, numTimeSteps, overallLOWSF );
*out << "\ndiscretizedModel = " << describe(*discretizedModel,verbLevel);
//
// F) Setup a nonlinear solver and solve the system
//
// F.1) Setup a nonlinear solver
Thyra::DampenedNewtonNonlinearSolver<Scalar> nonlinearSolver;
nonlinearSolver.setOStream(out);
nonlinearSolver.setVerbLevel(verbLevel);
//nonlinearSolver.setParameterList(sublist(paramList,NonlinearSolver_name));
//2007/11/27: rabartl: ToDo: Implement parameter list handling for
//DampenedNonlinearSolve so that I can uncomment the above line.
nonlinearSolver.setModel(discretizedModel);
// F.2) Solve the system
RCP<Thyra::VectorBase<Scalar> >
x_bar = createMember(discretizedModel->get_x_space());
V_S( x_bar.ptr(), 0.0 );
Thyra::SolveStatus<Scalar> solveStatus =
Thyra::solve( nonlinearSolver, &*x_bar );
*out << "\nsolveStatus:\n" << solveStatus;
*out << "\nx_bar = " << describe(*x_bar,solnVerbLevel);
//
// G) Verify that the solution is correct???
//
// Check against the end time exact solution.
RCP<const Thyra::VectorBase<Scalar> >
exact_x_final = Thyra::create_Vector(
epetraDaeModel->getExactSolution(finalTime),
daeModel->get_x_space()
);
RCP<const Thyra::VectorBase<Scalar> > solved_x_final
= rcp_dynamic_cast<Thyra::ProductVectorBase<Scalar> >(x_bar,true)->getVectorBlock(numTimeSteps-1);
const bool result = Thyra::testRelNormDiffErr(
"exact_x_final", *exact_x_final, "solved_x_final", *solved_x_final,
"maxStateError", maxStateError, "warningTol", 1.0, // Don't warn
&*out, solnVerbLevel
);
if (!result) success = false;
}
TEUCHOS_STANDARD_CATCH_STATEMENTS(true,*out,success);
if(success)
*out << "\nEnd Result: TEST PASSED" << endl;
else
*out << "\nEnd Result: TEST FAILED" << endl;
return ( success ? 0 : 1 );
} // end main() [Doxygen looks for this!]
void DiagonalImplicitRKModelEvaluator<Scalar>::evalModelImpl(
const Thyra::ModelEvaluatorBase::InArgs<Scalar>& inArgs_stage,
const Thyra::ModelEvaluatorBase::OutArgs<Scalar>& outArgs_stage
) const
{
typedef ScalarTraits<Scalar> ST;
typedef Thyra::ModelEvaluatorBase MEB;
TEUCHOS_TEST_FOR_EXCEPTION( !isInitialized_, std::logic_error,
"Error! initializeDIRKModel must be called before evalModel\n"
);
TEUCHOS_TEST_FOR_EXCEPTION( !setTimeStepPointCalled_, std::logic_error,
"Error! setTimeStepPoint must be called before evalModel"
);
TEUCHOS_TEST_FOR_EXCEPTION( currentStage_ == -1, std::logic_error,
"Error! setCurrentStage must be called before evalModel"
);
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_GEN_BEGIN(
"Rythmos::DiagonalImplicitRKModelEvaluator",inArgs_stage,outArgs_stage,daeModel_
);
//
// A) Unwrap the inArgs and outArgs
//
const RCP<const Thyra::VectorBase<Scalar> > x_in = inArgs_stage.get_x();
const RCP<Thyra::VectorBase<Scalar> > f_out = outArgs_stage.get_f();
const RCP<Thyra::LinearOpBase<Scalar> > W_op_out = outArgs_stage.get_W_op();
//
// B) Assemble f_out and W_op_out for given stage
//
MEB::InArgs<Scalar> daeInArgs = daeModel_->createInArgs();
MEB::OutArgs<Scalar> daeOutArgs = daeModel_->createOutArgs();
const RCP<Thyra::VectorBase<Scalar> > x_i = createMember(daeModel_->get_x_space());
daeInArgs.setArgs(basePoint_);
// B.1) Setup the DAE's inArgs for stage f(currentStage_) ...
V_V(stage_derivatives_->getNonconstVectorBlock(currentStage_).ptr(),*x_in);
assembleIRKState( currentStage_, dirkButcherTableau_->A(), delta_t_, *x_old_, *stage_derivatives_, outArg(*x_i) );
daeInArgs.set_x( x_i );
daeInArgs.set_x_dot( x_in );
daeInArgs.set_t( t_old_ + dirkButcherTableau_->c()(currentStage_) * delta_t_ );
daeInArgs.set_alpha(ST::one());
daeInArgs.set_beta( delta_t_ * dirkButcherTableau_->A()(currentStage_,currentStage_) );
// B.2) Setup the DAE's outArgs for stage f(i) ...
if (!is_null(f_out))
daeOutArgs.set_f( f_out );
if (!is_null(W_op_out))
daeOutArgs.set_W_op(W_op_out);
// B.3) Compute f_out(i) and/or W_op_out ...
daeModel_->evalModel( daeInArgs, daeOutArgs );
daeOutArgs.set_f(Teuchos::null);
daeOutArgs.set_W_op(Teuchos::null);
THYRA_MODEL_EVALUATOR_DECORATOR_EVAL_MODEL_END();
}
TEUCHOS_UNIT_TEST( Rythmos_ForwardSensitivityExplicitModelEvaluator, evalModel ) {
typedef Thyra::ModelEvaluatorBase MEB;
RCP<ForwardSensitivityExplicitModelEvaluator<double> > model =
forwardSensitivityExplicitModelEvaluator<double>();
RCP<SinCosModel> innerModel = sinCosModel(false);
double a = 0.4;
double f = 1.5;
double L = 1.6;
{
RCP<ParameterList> pl = Teuchos::parameterList();
pl->set("Accept model parameters",true);
pl->set("Implicit model formulation",false);
pl->set("Coeff a", a );
pl->set("Coeff f", f );
pl->set("Coeff L", L );
innerModel->setParameterList(pl);
}
model->initializeStructure(innerModel, 0 );
RCP<VectorBase<double> > x;
MEB::InArgs<double> pointInArgs; // Used to change the solution for re-evaluation
RCP<StepperBase<double> > stepper; // Used for initializePointState
{
pointInArgs = innerModel->createInArgs();
pointInArgs.set_t(0.1);
x = Thyra::createMember(innerModel->get_x_space());
{
Thyra::DetachedVectorView<double> x_view( *x );
x_view[0] = 2.0;
x_view[1] = 3.0;
}
pointInArgs.set_x(x);
RCP<VectorBase<double> > p0 = Thyra::createMember(innerModel->get_p_space(0));
{
Thyra::DetachedVectorView<double> p0_view( *p0 );
p0_view[0] = a;
p0_view[1] = f;
p0_view[2] = L;
}
pointInArgs.set_p(0,p0);
{
// Create a stepper with these initial conditions to use to call
// initializePointState on this ME:
stepper = forwardEulerStepper<double>();
stepper->setInitialCondition(pointInArgs);
model->initializePointState(Teuchos::inOutArg(*stepper),false);
}
}
MEB::InArgs<double> inArgs = model->createInArgs();
RCP<VectorBase<double> > x_bar = Thyra::createMember(model->get_x_space());
RCP<Thyra::DefaultMultiVectorProductVector<double> >
s_bar = Teuchos::rcp_dynamic_cast<Thyra::DefaultMultiVectorProductVector<double> >(
x_bar, true
);
RCP<Thyra::MultiVectorBase<double> >
S = s_bar->getNonconstMultiVector();
// Fill S with data
{
TEST_EQUALITY_CONST( S->domain()->dim(), 3 );
TEST_EQUALITY_CONST( S->range()->dim(), 2 );
RCP<VectorBase<double> > S0 = S->col(0);
RCP<VectorBase<double> > S1 = S->col(1);
RCP<VectorBase<double> > S2 = S->col(2);
TEST_EQUALITY_CONST( S0->space()->dim(), 2 );
TEST_EQUALITY_CONST( S1->space()->dim(), 2 );
TEST_EQUALITY_CONST( S2->space()->dim(), 2 );
Thyra::DetachedVectorView<double> S0_view( *S0 );
S0_view[0] = 7.0;
S0_view[1] = 8.0;
Thyra::DetachedVectorView<double> S1_view( *S1 );
S1_view[0] = 9.0;
S1_view[1] = 10.0;
Thyra::DetachedVectorView<double> S2_view( *S2 );
S2_view[0] = 11.0;
S2_view[1] = 12.0;
}
inArgs.set_x(x_bar);
MEB::OutArgs<double> outArgs = model->createOutArgs();
RCP<VectorBase<double> > f_bar = Thyra::createMember(model->get_f_space());
RCP<Thyra::DefaultMultiVectorProductVector<double> >
f_sens = Teuchos::rcp_dynamic_cast<Thyra::DefaultMultiVectorProductVector<double> >(
f_bar, true
);
RCP<Thyra::MultiVectorBase<double> >
F_sens = f_sens->getNonconstMultiVector().assert_not_null();
V_S(Teuchos::outArg(*f_bar),0.0);
outArgs.set_f(f_bar);
inArgs.set_t(0.1);
model->evalModel(inArgs,outArgs);
// Verify F_sens = df/dx*S = df/dp
// df/dx = [ 0 1 ]
// [ -(f/L)*(f/L) 0 ]
// S = [ 7 9 11 ] x = [ 2 ]
// [ 8 10 12 ] [ 3 ]
// df/dp = [ 0 0 0 ]
// [ (f/L)*(f/L) 2*f/(L*L)*(a-x_0) -2*f*f/(L*L*L)*(a-x_0) ]
// F_sens_0 =
// [ 8 ]
// [ -7*(f/L)*(f/L)+(f*f)/(L*L) ]
// F_sens_1 =
// [ 10 ]
// [ -9*(f/L)*(f/L)+2*f/(L*L)*(a-x_0) ]
// F_sens_2 =
// [ 12 ]
// [ -11*(f/L)*(f/L)-2*f*f/(L*L*L)*(a-x_0) ]
//
double tol = 1.0e-10;
{
TEST_EQUALITY_CONST( F_sens->domain()->dim(), 3 );
TEST_EQUALITY_CONST( F_sens->range()->dim(), 2 );
RCP<VectorBase<double> > F_sens_0 = F_sens->col(0);
RCP<VectorBase<double> > F_sens_1 = F_sens->col(1);
RCP<VectorBase<double> > F_sens_2 = F_sens->col(2);
TEST_EQUALITY_CONST( F_sens_0->space()->dim(), 2 );
TEST_EQUALITY_CONST( F_sens_1->space()->dim(), 2 );
TEST_EQUALITY_CONST( F_sens_2->space()->dim(), 2 );
Thyra::DetachedVectorView<double> F_sens_0_view( *F_sens_0 );
TEST_FLOATING_EQUALITY( F_sens_0_view[0], 8.0, tol );
TEST_FLOATING_EQUALITY( F_sens_0_view[1], -7.0*(f/L)*(f/L)+(f*f)/(L*L), tol );
Thyra::DetachedVectorView<double> F_sens_1_view( *F_sens_1 );
TEST_FLOATING_EQUALITY( F_sens_1_view[0], 10.0, tol );
TEST_FLOATING_EQUALITY( F_sens_1_view[1], -9*(f/L)*(f/L)+2*f/(L*L)*(a-2.0), tol );
Thyra::DetachedVectorView<double> F_sens_2_view( *F_sens_2 );
TEST_FLOATING_EQUALITY( F_sens_2_view[0], 12.0, tol );
TEST_FLOATING_EQUALITY( F_sens_2_view[1], -11*(f/L)*(f/L)-2*f*f/(L*L*L)*(a-2.0), tol );
}
// Now change x and evaluate again.
{
Thyra::DetachedVectorView<double> x_view( *x );
x_view[0] = 20.0;
x_view[1] = 21.0;
}
// We need to call initializePointState again due to the vector
// being cloned inside.
stepper->setInitialCondition(pointInArgs);
model->initializePointState(Teuchos::inOutArg(*stepper),false);
model->evalModel(inArgs,outArgs);
{
TEST_EQUALITY_CONST( F_sens->domain()->dim(), 3 );
TEST_EQUALITY_CONST( F_sens->range()->dim(), 2 );
RCP<VectorBase<double> > F_sens_0 = F_sens->col(0);
RCP<VectorBase<double> > F_sens_1 = F_sens->col(1);
RCP<VectorBase<double> > F_sens_2 = F_sens->col(2);
TEST_EQUALITY_CONST( F_sens_0->space()->dim(), 2 );
TEST_EQUALITY_CONST( F_sens_1->space()->dim(), 2 );
TEST_EQUALITY_CONST( F_sens_2->space()->dim(), 2 );
Thyra::DetachedVectorView<double> F_sens_0_view( *F_sens_0 );
TEST_FLOATING_EQUALITY( F_sens_0_view[0], 8.0, tol );
TEST_FLOATING_EQUALITY( F_sens_0_view[1], -7.0*(f/L)*(f/L)+(f*f)/(L*L), tol );
Thyra::DetachedVectorView<double> F_sens_1_view( *F_sens_1 );
TEST_FLOATING_EQUALITY( F_sens_1_view[0], 10.0, tol );
TEST_FLOATING_EQUALITY( F_sens_1_view[1], -9*(f/L)*(f/L)+2*f/(L*L)*(a-20.0), tol );
Thyra::DetachedVectorView<double> F_sens_2_view( *F_sens_2 );
TEST_FLOATING_EQUALITY( F_sens_2_view[0], 12.0, tol );
TEST_FLOATING_EQUALITY( F_sens_2_view[1], -11*(f/L)*(f/L)-2*f*f/(L*L*L)*(a-20.0), tol );
}
}
double computeForwardSensitivityErrorStackedStepperSinCosFE(
int numTimeSteps,
Array<RCP<const VectorBase<double> > >& computedSol,
Array<RCP<const VectorBase<double> > >& exactSol
)
{
using Teuchos::rcp_dynamic_cast;
typedef Thyra::ModelEvaluatorBase MEB;
// Forward ODE Model:
RCP<SinCosModel> fwdModel = sinCosModel();
{
RCP<ParameterList> pl = Teuchos::parameterList();
pl->set("Accept model parameters",true);
pl->set("Implicit model formulation",false);
pl->set("Provide nominal values",true);
double b = 5.0;
//double phi = 0.0;
double a = 2.0;
double f = 3.0;
double L = 4.0;
double x0 = a;
double x1 = b*f/L;
pl->set("Coeff a", a);
pl->set("Coeff f", f);
pl->set("Coeff L", L);
pl->set("IC x_0", x0);
pl->set("IC x_1", x1);
fwdModel->setParameterList(pl);
}
RCP<StepperBase<double> > fwdStepper;
RCP<StepperBase<double> > fsStepper;
{
const RCP<StepperBuilder<double> > builder = stepperBuilder<double>();
RCP<ParameterList> stepperPL = Teuchos::parameterList();
stepperPL->set("Stepper Type","Forward Euler");
builder->setParameterList(stepperPL);
fwdStepper = builder->create();
fsStepper = builder->create();
}
// Forward Sensitivity Model:
RCP<ForwardSensitivityExplicitModelEvaluator<double> > fsModel =
forwardSensitivityExplicitModelEvaluator<double>();
int p_index = 0;
fsModel->initializeStructure(fwdModel,p_index);
const MEB::InArgs<double> fwdModel_ic = fwdModel->getNominalValues();
fwdStepper->setModel(fwdModel);
fwdStepper->setInitialCondition(fwdModel_ic);
fsModel->initializePointState(Teuchos::inOutArg(*fwdStepper),false);
MEB::InArgs<double> fsModel_ic = fsModel->getNominalValues();
{
// Set up sensitivity initial conditions so they match the initial
// conditions in getExactSensSolution
RCP<Thyra::VectorBase<double> > s_bar_init
= createMember(fsModel->get_x_space());
RCP<Thyra::DefaultMultiVectorProductVector<double> > s_bar_mv =
rcp_dynamic_cast<Thyra::DefaultMultiVectorProductVector<double> >(
s_bar_init,
true
);
int np = 3; // SinCos problem number of elements in parameter vector.
for (int j=0 ; j < np ; ++j) {
MEB::InArgs<double> sens_ic = fwdModel->getExactSensSolution(j,0.0);
V_V(outArg(*(s_bar_mv->getNonconstVectorBlock(j))),
*(sens_ic.get_x())
);
}
fsModel_ic.set_x(s_bar_init);
}
fsStepper->setModel(fsModel);
fsStepper->setInitialCondition(fsModel_ic);
RCP<StackedStepper<double> > sStepper = stackedStepper<double>();
sStepper->addStepper(fwdStepper);
sStepper->addStepper(fsStepper);
{
// Set up Forward Sensitivities step strategy
RCP<ForwardSensitivityStackedStepperStepStrategy<double> > stepStrategy =
forwardSensitivityStackedStepperStepStrategy<double>();
sStepper->setStackedStepperStepControlStrategy(stepStrategy);
}
double finalTime = 1.0e-4;
double dt = finalTime/numTimeSteps; // Assume t_0 = 0.0;
for (int i=0 ; i < numTimeSteps ; ++i ) {
double dt_taken = sStepper->takeStep(dt,STEP_TYPE_FIXED);
TEUCHOS_ASSERT( dt_taken == dt );
}
RCP<VectorBase<double> > x_bar_final =
Thyra::createMember(sStepper->get_x_space());
{
Array<double> t_vec;
Array<RCP<const VectorBase<double> > > x_vec;
t_vec.push_back(finalTime);
sStepper->getPoints(
t_vec,
&x_vec,
NULL,
NULL
);
V_V(Teuchos::outArg(*x_bar_final),*x_vec[0]);
}
// Now we check that the sensitivities are correct
RCP<const Thyra::VectorBase<double> > DxDp_vec_final =
Thyra::productVectorBase<double>(x_bar_final)->getVectorBlock(1);
RCP<const Thyra::DefaultMultiVectorProductVector<double> > DxDp_mv_final =
rcp_dynamic_cast<const Thyra::DefaultMultiVectorProductVector<double> >(
DxDp_vec_final,
true
);
RCP<const Thyra::VectorBase<double> >
DxDp_s0_final = DxDp_mv_final->getVectorBlock(0);
RCP<const Thyra::VectorBase<double> >
DxDp_s1_final = DxDp_mv_final->getVectorBlock(1);
RCP<const Thyra::VectorBase<double> >
DxDp_s2_final = DxDp_mv_final->getVectorBlock(2);
computedSol.clear();
computedSol.push_back(DxDp_s0_final);
computedSol.push_back(DxDp_s1_final);
computedSol.push_back(DxDp_s2_final);
MEB::InArgs<double> exactSensSolution;
exactSensSolution = fwdModel->getExactSensSolution(0,finalTime);
RCP<const Thyra::VectorBase<double> > ds0dp = exactSensSolution.get_x();
exactSensSolution = fwdModel->getExactSensSolution(1,finalTime);
RCP<const Thyra::VectorBase<double> > ds1dp = exactSensSolution.get_x();
exactSensSolution = fwdModel->getExactSensSolution(2,finalTime);
RCP<const Thyra::VectorBase<double> > ds2dp = exactSensSolution.get_x();
exactSol.clear();
exactSol.push_back(ds0dp);
exactSol.push_back(ds1dp);
exactSol.push_back(ds2dp);
return dt;
}