void assertNodesUnChanged(
const typename DataStore<Scalar>::DataStoreVector_t & nodes,
const typename DataStore<Scalar>::DataStoreVector_t & nodes_copy
)
{
typedef Teuchos::ScalarTraits<Scalar> ST;
int N = nodes.size();
int Ncopy = nodes_copy.size();
TEUCHOS_TEST_FOR_EXCEPTION( N != Ncopy, std::logic_error,
"Error! The number of nodes passed in through setNodes has changed!"
);
if (N > 0) {
RCP<Thyra::VectorBase<Scalar> > xdiff = nodes[0].x->clone_v();
RCP<Thyra::VectorBase<Scalar> > xdotdiff = xdiff->clone_v();
V_S(outArg(*xdiff),ST::one());
V_S(outArg(*xdotdiff),ST::one());
for (int i=0 ; i<N ; ++i) {
V_StVpStV(outArg(*xdiff),ST::one(),*nodes[i].x,-ST::one(),*nodes_copy[i].x);
if ((!Teuchos::is_null(nodes[i].xdot)) && (!Teuchos::is_null(nodes_copy[i].xdot))) {
V_StVpStV(outArg(*xdotdiff),ST::one(),*nodes[i].xdot,-ST::one(),*nodes_copy[i].xdot);
} else if (Teuchos::is_null(nodes[i].xdot) && Teuchos::is_null(nodes_copy[i].xdot)) {
V_S(outArg(*xdotdiff),ST::zero());
}
Scalar xdiffnorm = norm_inf(*xdiff);
Scalar xdotdiffnorm = norm_inf(*xdotdiff);
TEUCHOS_TEST_FOR_EXCEPTION(
( ( nodes[i].time != nodes_copy[i].time ) ||
( xdiffnorm != ST::zero() ) ||
( xdotdiffnorm != ST::zero() ) ||
( nodes[i].accuracy != nodes_copy[i].accuracy ) ),
std::logic_error,
"Error! The data in the nodes passed through setNodes has changed!"
);
}
}
}
RCP<Thyra::VectorBase<Scalar> > computeArea(
const Thyra::ModelEvaluator<Scalar>& me,
const TimeRange<Scalar>& tr,
const GaussQuadrature1D<Scalar>& gq
) {
typedef Teuchos::ScalarTraits<Scalar> ST;
RCP<Thyra::VectorBase<Scalar> > area = Thyra::createMember(me.get_x_space());
V_S(outArg(*area),ST::zero());
RCP<const TimeRange<Scalar> > sourceRange = gq.getRange();
RCP<const Array<Scalar> > sourcePts = gq.getPoints();
RCP<const Array<Scalar> > sourceWts = gq.getWeights();
Array<Scalar> destPts(*sourcePts);
for (unsigned int i=0 ; i<sourcePts->size() ; ++i) {
destPts[i] = translateTimeRange<Scalar>((*sourcePts)[i],*sourceRange,tr);
}
Scalar r = tr.length()/sourceRange->length();
for (unsigned int i=0 ; i<destPts.size() ; ++i) {
RCP<Thyra::VectorBase<Scalar> > tmpVec = eval_f_t<Scalar>(me,destPts[i]);
Vp_StV(outArg(*area),r*(*sourceWts)[i],*tmpVec);
}
return area;
}
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 );
}
}
TEUCHOS_UNIT_TEST( Rythmos_GlobalErrorEstimator, SinCos ) {
typedef Teuchos::ScalarTraits<double> ST;
// Forward Solve, storing data in linear interpolation buffer
int storageLimit = 100;
double finalTime = 0.1;
double dt = 0.1;
RCP<IntegratorBuilder<double> > ib = integratorBuilder<double>();
{
RCP<ParameterList> ibPL = Teuchos::parameterList();
ibPL->sublist("Integrator Settings").sublist("Integrator Selection").set("Integrator Type","Default Integrator");
ibPL->sublist("Integrator Settings").set("Final Time",finalTime);
ibPL->sublist("Integration Control Strategy Selection").set("Integration Control Strategy Type","Simple Integration Control Strategy");
ibPL->sublist("Integration Control Strategy Selection").sublist("Simple Integration Control Strategy").set("Take Variable Steps",false);
ibPL->sublist("Integration Control Strategy Selection").sublist("Simple Integration Control Strategy").set("Fixed dt",dt);
ibPL->sublist("Stepper Settings").sublist("Stepper Selection").set("Stepper Type","Backward Euler");
//ibPL->sublist("Stepper Settings").sublist("Stepper Selection").set("Stepper Type","Implicit RK");
//ibPL->sublist("Stepper Settings").sublist("Runge Kutta Butcher Tableau Selection").set("Runge Kutta Butcher Tableau Type","Backward Euler");
ibPL->sublist("Interpolation Buffer Settings").sublist("Trailing Interpolation Buffer Selection").set("Interpolation Buffer Type","Interpolation Buffer");
ibPL->sublist("Interpolation Buffer Settings").sublist("Trailing Interpolation Buffer Selection").sublist("Interpolation Buffer").set("StorageLimit",storageLimit);
ibPL->sublist("Interpolation Buffer Settings").sublist("Interpolator Selection").set("Interpolator Type","Linear Interpolator");
ib->setParameterList(ibPL);
}
RCP<SinCosModel> fwdModel = sinCosModel(true); // implicit formulation
Thyra::ModelEvaluatorBase::InArgs<double> fwdIC = fwdModel->getNominalValues();
RCP<Thyra::NonlinearSolverBase<double> > fwdNLSolver = timeStepNonlinearSolver<double>();
RCP<IntegratorBase<double> > fwdIntegrator = ib->create(fwdModel,fwdIC,fwdNLSolver);
RCP<const VectorBase<double> > x_final;
{
Array<double> time_vec;
time_vec.push_back(finalTime);
Array<RCP<const Thyra::VectorBase<double> > > x_final_array;
fwdIntegrator->getFwdPoints(time_vec,&x_final_array,NULL,NULL);
x_final = x_final_array[0];
}
// Verify x_final is correct
{
// Defaults from SinCos Model:
double f = 1.0;
double L = 1.0;
double a = 0.0;
double x_ic_0 = 0.0;
double x_ic_1 = 1.0;
double x_0 = dt/(1.0+std::pow(dt*f/L,2))*(x_ic_0/dt+x_ic_1+dt*std::pow(f/L,2)*a);
double x_1 = dt/(1.0+std::pow(dt*f/L,2))*(-std::pow(f/L,2)*x_ic_0+x_ic_1/dt+std::pow(f/L,2)*a);
double tol = 1.0e-10;
Thyra::ConstDetachedVectorView<double> x_final_view( *x_final );
TEST_FLOATING_EQUALITY( x_final_view[0], x_0, tol );
TEST_FLOATING_EQUALITY( x_final_view[1], x_1, tol );
}
// Copy InterpolationBuffer data into Cubic Spline interpolation buffer for use in Adjoint Solve
TimeRange<double> fwdTimeRange;
RCP<InterpolationBufferBase<double> > fwdCubicSplineInterpBuffer;
{
RCP<PointwiseInterpolationBufferAppender<double> > piba = pointwiseInterpolationBufferAppender<double>();
RCP<InterpolationBuffer<double> > sinkInterpBuffer = interpolationBuffer<double>();
sinkInterpBuffer->setStorage(storageLimit);
RCP<CubicSplineInterpolator<double> > csi = cubicSplineInterpolator<double>();
sinkInterpBuffer->setInterpolator(csi);
RCP<const InterpolationBufferBase<double> > sourceInterpBuffer;
{
RCP<TrailingInterpolationBufferAcceptingIntegratorBase<double> > tibaib =
Teuchos::rcp_dynamic_cast<TrailingInterpolationBufferAcceptingIntegratorBase<double> >(fwdIntegrator,true);
sourceInterpBuffer = tibaib->getTrailingInterpolationBuffer();
}
fwdTimeRange = sourceInterpBuffer->getTimeRange();
piba->append(*sourceInterpBuffer, fwdTimeRange, Teuchos::outArg(*sinkInterpBuffer));
fwdCubicSplineInterpBuffer = sinkInterpBuffer;
TimeRange<double> sourceRange = sourceInterpBuffer->getTimeRange();
TimeRange<double> sinkRange = sinkInterpBuffer->getTimeRange();
TEST_EQUALITY( sourceRange.lower(), sinkRange.lower() );
TEST_EQUALITY( sourceRange.upper(), sinkRange.upper() );
}
// Adjoint Solve, reading forward solve data from Cubic Spline interpolation buffer
{
RCP<ParameterList> ibPL = Teuchos::parameterList();
ibPL->sublist("Integrator Settings").sublist("Integrator Selection").set("Integrator Type","Default Integrator");
ibPL->sublist("Integrator Settings").set("Final Time",finalTime);
ibPL->sublist("Integration Control Strategy Selection").set("Integration Control Strategy Type","Simple Integration Control Strategy");
ibPL->sublist("Integration Control Strategy Selection").sublist("Simple Integration Control Strategy").set("Take Variable Steps",false);
ibPL->sublist("Integration Control Strategy Selection").sublist("Simple Integration Control Strategy").set("Fixed dt",dt);
ibPL->sublist("Stepper Settings").sublist("Stepper Selection").set("Stepper Type","Backward Euler");
//ibPL->sublist("Stepper Settings").sublist("Stepper Selection").set("Stepper Type","Implicit RK");
//ibPL->sublist("Stepper Settings").sublist("Runge Kutta Butcher Tableau Selection").set("Runge Kutta Butcher Tableau Type","Implicit 1 Stage 2nd order Gauss");
ibPL->sublist("Interpolation Buffer Settings").sublist("Trailing Interpolation Buffer Selection").set("Interpolation Buffer Type","Interpolation Buffer");
ibPL->sublist("Interpolation Buffer Settings").sublist("Trailing Interpolation Buffer Selection").sublist("Interpolation Buffer").set("StorageLimit",storageLimit);
ibPL->sublist("Interpolation Buffer Settings").sublist("Interpolator Selection").set("Interpolator Type","Linear Interpolator");
ib->setParameterList(ibPL);
}
RCP<Thyra::ModelEvaluator<double> > adjModel;
{
RCP<Rythmos::AdjointModelEvaluator<double> > model =
Rythmos::adjointModelEvaluator<double>(
fwdModel, fwdTimeRange
);
//model->setFwdStateSolutionBuffer(fwdCubicSplineInterpBuffer);
adjModel = model;
}
Thyra::ModelEvaluatorBase::InArgs<double> adjIC = adjModel->getNominalValues();
double phi_ic_0 = 2.0;
double phi_ic_1 = 3.0;
{
// Initial conditions for adjoint:
const RCP<const Thyra::VectorSpaceBase<double> >
f_space = fwdModel->get_f_space();
const RCP<Thyra::VectorBase<double> > x_ic = createMember(f_space);
{
Thyra::DetachedVectorView<double> x_ic_view( *x_ic );
x_ic_view[0] = phi_ic_0;
x_ic_view[1] = phi_ic_1;
}
const RCP<Thyra::VectorBase<double> > xdot_ic = createMember(f_space);
V_S( Teuchos::outArg(*xdot_ic), ST::zero() );
adjIC.set_x(x_ic);
adjIC.set_x_dot(xdot_ic);
}
RCP<Thyra::LinearNonlinearSolver<double> > adjNLSolver = Thyra::linearNonlinearSolver<double>();
RCP<IntegratorBase<double> > adjIntegrator = ib->create(adjModel,adjIC,adjNLSolver);
RCP<const VectorBase<double> > phi_final;
{
Array<double> time_vec;
time_vec.push_back(finalTime);
Array<RCP<const Thyra::VectorBase<double> > > phi_final_array;
adjIntegrator->getFwdPoints(time_vec,&phi_final_array,NULL,NULL);
phi_final = phi_final_array[0];
}
// Verify phi_final is correct
{
// Defaults from SinCos Model:
double f = 1.0;
double L = 1.0;
double h = -dt;
double phi_0 = 1.0/(1.0+std::pow(f*h/L,2.0))*(phi_ic_0+std::pow(f/L,2.0)*h*phi_ic_1);
double phi_1 = 1.0/(1.0+std::pow(f*h/L,2.0))*(-h*phi_ic_0+phi_ic_1);
double tol = 1.0e-10;
Thyra::ConstDetachedVectorView<double> phi_final_view( *phi_final );
TEST_FLOATING_EQUALITY( phi_final_view[0], phi_0, tol );
TEST_FLOATING_EQUALITY( phi_final_view[1], phi_1, tol );
}
// Compute error estimate
//TEST_ASSERT( false );
}
