TEUCHOS_UNIT_TEST( Rythmos_ExplicitRKStepper, basePoint ) {
RCP<SinCosModel> model = sinCosModel(false);
{
RCP<ParameterList> pl = Teuchos::parameterList();
pl->set("Accept model parameters",true);
model->setParameterList(pl);
}
Thyra::ModelEvaluatorBase::InArgs<double> ic = model->getNominalValues();
// t_ic
double t_ic = 1.0; // not used
// x_ic
RCP<VectorBase<double> > x_ic = Thyra::createMember(*model->get_x_space());
{
Thyra::DetachedVectorView<double> x_ic_view( *x_ic );
x_ic_view[0] = 5.0;
x_ic_view[1] = 6.0;
}
// parameter 0 ic
RCP<VectorBase<double> > p_ic = Thyra::createMember(*model->get_p_space(0));
{
Thyra::DetachedVectorView<double> p_ic_view( *p_ic );
p_ic_view[0] = 2.0; // a
p_ic_view[1] = 3.0; // f
p_ic_view[2] = 4.0; // L
}
ic.set_p(0,p_ic);
ic.set_x(x_ic);
ic.set_t(t_ic);
RCP<ExplicitRKStepper<double> > stepper = explicitRKStepper<double>();
stepper->setModel(model);
stepper->setInitialCondition(ic);
stepper->setRKButcherTableau(createRKBT<double>("Forward Euler"));
double dt = 0.2;
double dt_taken;
dt_taken = stepper->takeStep(dt,STEP_TYPE_FIXED);
TEST_EQUALITY_CONST( dt_taken, 0.2 );
const StepStatus<double> status = stepper->getStepStatus();
TEST_ASSERT( !is_null(status.solution) );
double tol = 1.0e-10;
{
Thyra::ConstDetachedVectorView<double> x_new_view( *(status.solution) );
TEST_FLOATING_EQUALITY( x_new_view[0], 5.0 + 0.2*(6.0), tol );
TEST_FLOATING_EQUALITY( x_new_view[1], 6.0 + 0.2*( (3.0/4.0)*(3.0/4.0)*(2.0-5.0) ), tol );
}
}
void Piro::RythmosSolver<Scalar>::evalModelImpl(
#endif
const Thyra::ModelEvaluatorBase::InArgs<Scalar>& inArgs,
const Thyra::ModelEvaluatorBase::OutArgs<Scalar>& outArgs) const
{
using Teuchos::RCP;
using Teuchos::rcp;
// TODO: Support more than 1 parameter and 1 response
const int j = 0;
const int l = 0;
// Parse InArgs
RCP<const Thyra::VectorBase<Scalar> > p_in;
if (num_p > 0) {
p_in = inArgs.get_p(l);
}
RCP<const Thyra::VectorBase<Scalar> > p_in2; //JF add for multipoint
if (num_p > 1) {
p_in2 = inArgs.get_p(l+1);
}
// Parse OutArgs
RCP<Thyra::VectorBase<Scalar> > g_out;
if (num_g > 0) {
g_out = outArgs.get_g(j);
}
const RCP<Thyra::VectorBase<Scalar> > gx_out = outArgs.get_g(num_g);
Thyra::ModelEvaluatorBase::InArgs<Scalar> state_ic = model->getNominalValues();
// Set initial time in ME if needed
if(t_initial > 0.0 && state_ic.supports(Thyra::ModelEvaluatorBase::IN_ARG_t))
state_ic.set_t(t_initial);
if (Teuchos::nonnull(initialConditionModel)) {
// The initial condition depends on the parameter
// It is found by querying the auxiliary model evaluator as the last response
const RCP<Thyra::VectorBase<Scalar> > initialState =
Thyra::createMember(model->get_x_space());
{
Thyra::ModelEvaluatorBase::InArgs<Scalar> initCondInArgs = initialConditionModel->createInArgs();
if (num_p > 0) {
initCondInArgs.set_p(l, inArgs.get_p(l));
}
Thyra::ModelEvaluatorBase::OutArgs<Scalar> initCondOutArgs = initialConditionModel->createOutArgs();
initCondOutArgs.set_g(initCondOutArgs.Ng() - 1, initialState);
initialConditionModel->evalModel(initCondInArgs, initCondOutArgs);
}
state_ic.set_x(initialState);
}
// Set paramters p_in as part of initial conditions
if (num_p > 0) {
if (Teuchos::nonnull(p_in)) {
state_ic.set_p(l, p_in);
}
}
if (num_p > 1) { //JF added for multipoint
if (Teuchos::nonnull(p_in2)) {
state_ic.set_p(l+1, p_in2);
}
}
*out << "\nstate_ic:\n" << Teuchos::describe(state_ic, solnVerbLevel);
//JF may need a version of the following for multipoint, i.e. num_p>1, l+1, if we want sensitivities
RCP<Thyra::MultiVectorBase<Scalar> > dgxdp_out;
Thyra::ModelEvaluatorBase::Derivative<Scalar> dgdp_deriv_out;
if (num_p > 0) {
const Thyra::ModelEvaluatorBase::DerivativeSupport dgxdp_support =
outArgs.supports(Thyra::ModelEvaluatorBase::OUT_ARG_DgDp, num_g, l);
if (dgxdp_support.supports(Thyra::ModelEvaluatorBase::DERIV_MV_JACOBIAN_FORM)) {
const Thyra::ModelEvaluatorBase::Derivative<Scalar> dgxdp_deriv =
outArgs.get_DgDp(num_g, l);
dgxdp_out = dgxdp_deriv.getMultiVector();
}
if (num_g > 0) {
const Thyra::ModelEvaluatorBase::DerivativeSupport dgdp_support =
outArgs.supports(Thyra::ModelEvaluatorBase::OUT_ARG_DgDp, j, l);
if (!dgdp_support.none()) {
dgdp_deriv_out = outArgs.get_DgDp(j, l);
}
}
}
const bool requestedSensitivities =
Teuchos::nonnull(dgxdp_out) || !dgdp_deriv_out.isEmpty();
RCP<const Thyra::VectorBase<Scalar> > finalSolution;
if (!requestedSensitivities) {
//
*out << "\nE) Solve the forward problem ...\n";
//
fwdStateStepper->setInitialCondition(state_ic);
fwdStateIntegrator->setStepper(fwdStateStepper, t_final, true);
*out << "T final : " << t_final << " \n";
Teuchos::Array<RCP<const Thyra::VectorBase<Scalar> > > x_final_array;
fwdStateIntegrator->getFwdPoints(
Teuchos::tuple<Scalar>(t_final), &x_final_array, NULL, NULL);
finalSolution = x_final_array[0];
if (Teuchos::VERB_MEDIUM <= solnVerbLevel) {
std::cout << "Final Solution\n" << *finalSolution << std::endl;
}
} else { // Computing sensitivities
//
*out << "\nE) Solve the forward problem with Sensitivities...\n";
//
RCP<Rythmos::ForwardSensitivityStepper<Scalar> > stateAndSensStepper =
Rythmos::forwardSensitivityStepper<Scalar>();
stateAndSensStepper->initializeSyncedSteppers(
model, l, model->getNominalValues(),
fwdStateStepper, fwdTimeStepSolver);
//
// Set the initial condition for the state and forward sensitivities
//
const RCP<Thyra::VectorBase<Scalar> > s_bar_init =
Thyra::createMember(stateAndSensStepper->getFwdSensModel()->get_x_space());
const RCP<Thyra::VectorBase<Scalar> > s_bar_dot_init =
Thyra::createMember(stateAndSensStepper->getFwdSensModel()->get_x_space());
if (Teuchos::is_null(initialConditionModel)) {
// The initial condition is assumed to be independent from the parameters
// Therefore, the initial condition for the sensitivity is zero
Thyra::assign(s_bar_init.ptr(), Teuchos::ScalarTraits<Scalar>::zero());
} else {
// Use initialConditionModel to compute initial condition for sensitivity
Thyra::ModelEvaluatorBase::InArgs<Scalar> initCondInArgs = initialConditionModel->createInArgs();
initCondInArgs.set_p(l, inArgs.get_p(l));
Thyra::ModelEvaluatorBase::OutArgs<Scalar> initCondOutArgs = initialConditionModel->createOutArgs();
typedef Thyra::DefaultMultiVectorProductVector<Scalar> DMVPV;
const RCP<DMVPV> s_bar_init_downcasted = Teuchos::rcp_dynamic_cast<DMVPV>(s_bar_init);
const Thyra::ModelEvaluatorBase::Derivative<Scalar> initCond_deriv(
s_bar_init_downcasted->getNonconstMultiVector(),
Thyra::ModelEvaluatorBase::DERIV_MV_JACOBIAN_FORM);
initCondOutArgs.set_DgDp(initCondOutArgs.Ng() - 1, l, initCond_deriv);
initialConditionModel->evalModel(initCondInArgs, initCondOutArgs);
}
Thyra::assign(s_bar_dot_init.ptr(), Teuchos::ScalarTraits<Scalar>::zero());
RCP<const Rythmos::StateAndForwardSensitivityModelEvaluator<Scalar> >
stateAndSensModel = stateAndSensStepper->getStateAndFwdSensModel();
Thyra::ModelEvaluatorBase::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));
stateAndSensStepper->setInitialCondition(state_and_sens_ic);
//
// Use a StepperAsModelEvaluator to integrate the state+sens
//
const RCP<Rythmos::StepperAsModelEvaluator<Scalar> >
stateAndSensIntegratorAsModel = Rythmos::stepperAsModelEvaluator(
Teuchos::rcp_implicit_cast<Rythmos::StepperBase<Scalar> >(stateAndSensStepper),
Teuchos::rcp_implicit_cast<Rythmos::IntegratorBase<Scalar> >(fwdStateIntegrator),
state_and_sens_ic);
// StepperAsModelEvaluator outputs the solution as its last response
const int stateAndSensModelStateResponseIndex = stateAndSensIntegratorAsModel->Ng() - 1;
*out << "\nUse the StepperAsModelEvaluator to integrate state + sens x_bar(p,t_final) ... \n";
Teuchos::OSTab tab(out);
// Solution sensitivity in column-oriented (Jacobian) MultiVector form
RCP<const Thyra::MultiVectorBase<Scalar> > dxdp;
const RCP<Thyra::VectorBase<Scalar> > x_bar_final =
Thyra::createMember(stateAndSensIntegratorAsModel->get_g_space(stateAndSensModelStateResponseIndex));
// Extract pieces of x_bar_final to prepare output
{
const RCP<const Thyra::ProductVectorBase<Scalar> > x_bar_final_downcasted =
Thyra::productVectorBase<Scalar>(x_bar_final);
// Solution
const int solutionBlockIndex = 0;
finalSolution = x_bar_final_downcasted->getVectorBlock(solutionBlockIndex);
// Sensitivity
const int sensitivityBlockIndex = 1;
const RCP<const Thyra::VectorBase<Scalar> > s_bar_final =
x_bar_final_downcasted->getVectorBlock(sensitivityBlockIndex);
{
typedef Thyra::DefaultMultiVectorProductVector<Scalar> DMVPV;
const RCP<const DMVPV> s_bar_final_downcasted = Teuchos::rcp_dynamic_cast<const DMVPV>(s_bar_final);
dxdp = s_bar_final_downcasted->getMultiVector();
}
}
Thyra::eval_g(
*stateAndSensIntegratorAsModel,
l, *state_ic.get_p(l),
t_final,
stateAndSensModelStateResponseIndex, x_bar_final.get()
);
*out
<< "\nx_bar_final = x_bar(p,t_final) evaluated using "
<< "stateAndSensIntegratorAsModel:\n"
<< Teuchos::describe(*x_bar_final,solnVerbLevel);
if (Teuchos::nonnull(dgxdp_out)) {
Thyra::assign(dgxdp_out.ptr(), *dxdp);
}
if (!dgdp_deriv_out.isEmpty()) {
RCP<Thyra::DefaultAddedLinearOp<Scalar> > dgdp_op_out;
{
const RCP<Thyra::LinearOpBase<Scalar> > dgdp_op = dgdp_deriv_out.getLinearOp();
if (Teuchos::nonnull(dgdp_op)) {
dgdp_op_out = Teuchos::rcp_dynamic_cast<Thyra::DefaultAddedLinearOp<Scalar> >(dgdp_op);
dgdp_op_out.assert_not_null();
}
}
Thyra::ModelEvaluatorBase::InArgs<Scalar> modelInArgs = model->createInArgs();
{
modelInArgs.set_x(finalSolution);
if (num_p > 0) {
modelInArgs.set_p(l, p_in);
}
}
// require dgdx, dgdp from model
Thyra::ModelEvaluatorBase::OutArgs<Scalar> modelOutArgs = model->createOutArgs();
{
const Thyra::ModelEvaluatorBase::Derivative<Scalar> dgdx_deriv(model->create_DgDx_op(j));
modelOutArgs.set_DgDx(j, dgdx_deriv);
Thyra::ModelEvaluatorBase::Derivative<Scalar> dgdp_deriv;
if (Teuchos::nonnull(dgdp_op_out)) {
dgdp_deriv = model->create_DgDp_op(j, l);
} else {
dgdp_deriv = dgdp_deriv_out;
}
modelOutArgs.set_DgDp(j, l, dgdp_deriv);
}
model->evalModel(modelInArgs, modelOutArgs);
const RCP<const Thyra::LinearOpBase<Scalar> > dgdx =
modelOutArgs.get_DgDx(j).getLinearOp();
// dgdp_out = dgdp + <dgdx, dxdp>
if (Teuchos::nonnull(dgdp_op_out)) {
Teuchos::Array<RCP<const Thyra::LinearOpBase<Scalar> > > op_args(2);
{
op_args[0] = modelOutArgs.get_DgDp(j, l).getLinearOp();
op_args[1] = Thyra::multiply<Scalar>(dgdx, dxdp);
}
dgdp_op_out->initialize(op_args);
} else {
const RCP<Thyra::MultiVectorBase<Scalar> > dgdp_mv_out = dgdp_deriv_out.getMultiVector();
Thyra::apply(
*dgdx,
Thyra::NOTRANS,
*dxdp,
dgdp_mv_out.ptr(),
Teuchos::ScalarTraits<Scalar>::one(),
Teuchos::ScalarTraits<Scalar>::one());
}
}
}
*out << "\nF) Check the solution to the forward problem ...\n";
// As post-processing step, calculate responses at final solution
{
Thyra::ModelEvaluatorBase::InArgs<Scalar> modelInArgs = model->createInArgs();
{
modelInArgs.set_x(finalSolution);
if (num_p > 0) {
modelInArgs.set_p(l, p_in);
}
if (num_p > 1) { //JF added for multipoint
modelInArgs.set_p(l+1, p_in2);
}
//Set time to be final time at which the solve occurs (< t_final in the case we don't make it to t_final).
modelInArgs.set_t(fwdStateStepper->getTimeRange().lower());
}
Thyra::ModelEvaluatorBase::OutArgs<Scalar> modelOutArgs = model->createOutArgs();
if (Teuchos::nonnull(g_out)) {
Thyra::put_scalar(Teuchos::ScalarTraits<Scalar>::zero(), g_out.ptr());
modelOutArgs.set_g(j, g_out);
}
model->evalModel(modelInArgs, modelOutArgs);
}
// Return the final solution as an additional g-vector, if requested
if (Teuchos::nonnull(gx_out)) {
Thyra::copy(*finalSolution, gx_out.ptr());
}
}