void DiscreteBoundaryOperator<ValueType>::applyImpl(
const Thyra::EOpTransp M_trans,
const Thyra::MultiVectorBase<ValueType> &X_in,
const Teuchos::Ptr<Thyra::MultiVectorBase<ValueType>> &Y_inout,
const ValueType alpha, const ValueType beta) const {
typedef Thyra::Ordinal Ordinal;
// Note: the name is VERY misleading: these asserts don't disappear in
// release runs, and in case of failure throw exceptions rather than
// abort.
TEUCHOS_ASSERT(this->opSupported(M_trans));
TEUCHOS_ASSERT(X_in.range()->isCompatible(*this->domain()));
TEUCHOS_ASSERT(Y_inout->range()->isCompatible(*this->range()));
TEUCHOS_ASSERT(Y_inout->domain()->isCompatible(*X_in.domain()));
const Ordinal colCount = X_in.domain()->dim();
// Loop over the input columns
for (Ordinal col = 0; col < colCount; ++col) {
// Get access the the elements of X_in's and Y_inout's column #col
Thyra::ConstDetachedSpmdVectorView<ValueType> xVec(X_in.col(col));
Thyra::DetachedSpmdVectorView<ValueType> yVec(Y_inout->col(col));
const Teuchos::ArrayRCP<const ValueType> xArray(xVec.sv().values());
const Teuchos::ArrayRCP<ValueType> yArray(yVec.sv().values());
// Wrap the Trilinos array in an Armadillo vector. const_cast is used
// because it's more natural to have a const arma::Col<ValueType> array
// than an arma::Col<const ValueType> one.
const arma::Col<ValueType> xCol(const_cast<ValueType *>(xArray.get()),
xArray.size(), false /* copy_aux_mem */);
arma::Col<ValueType> yCol(yArray.get(), yArray.size(), false);
applyBuiltInImpl(static_cast<TranspositionMode>(M_trans), xCol, yCol, alpha,
beta);
}
}
void
Piro::MatrixFreeLinearOp<Scalar>::applyImpl(
const Thyra::EOpTransp M_trans,
const Thyra::MultiVectorBase<Scalar> &X,
const Teuchos::Ptr<Thyra::MultiVectorBase<Scalar> > &Y,
const Scalar alpha,
const Scalar beta) const
{
using Teuchos::RCP;
using Teuchos::Ptr;
TEUCHOS_TEST_FOR_EXCEPTION(
!this->opSupported(M_trans),
Thyra::Exceptions::OpNotSupported,
this->description() << " does not support operation " << Thyra::toString(M_trans));
TEUCHOS_TEST_FOR_EXCEPTION(
!X.range()->isCompatible(*this->domain()),
Thyra::Exceptions::IncompatibleVectorSpaces,
"Domain of " << this->description() << ": " << this->domain()->description() <<
" is not compatible with column space of " << X.description() << ": " << X.range()->description());
TEUCHOS_TEST_FOR_EXCEPTION(
!Y->range()->isCompatible(*this->range()),
Thyra::Exceptions::IncompatibleVectorSpaces,
"Range of " << this->description() << ": " << this->range()->description() <<
" is not compatible with column space of " << Y->description() << ": " << Y->range()->description());
TEUCHOS_TEST_FOR_EXCEPTION(
!Y->domain()->isCompatible(*X.domain()),
Thyra::Exceptions::IncompatibleVectorSpaces,
"Row space of " << Y->description() << ": " << Y->domain()->description() <<
" is not compatible with row space of " << X.description() << ": " << X.domain()->description());
TEUCHOS_TEST_FOR_EXCEPTION(
&X == Y.get(),
std::logic_error,
"X and Y arguments are both aliases of " << X.description());
if (alpha == Teuchos::ScalarTraits<Scalar>::zero()) {
// Y <- beta * Y
Thyra::Vt_S(Y, beta);
return;
}
typedef typename Teuchos::ScalarTraits<Scalar>::magnitudeType ScalarMagnitude;
RCP<const Thyra::VectorBase<Scalar> > x_dot_base;
if (basePoint_.supports(Thyra::ModelEvaluatorBase::IN_ARG_x_dot))
x_dot_base = basePoint_.get_x_dot();
RCP<const Thyra::VectorBase<Scalar> > x_base = basePoint_.get_x();
if (Teuchos::is_null(x_base)) {
x_base = model_->getNominalValues().get_x();
}
x_base.assert_not_null();
const ScalarMagnitude norm_x_base = Thyra::norm_2(*x_base);
// Number of columns common to both vectors X and Y
// (X and Y have compatible row spaces)
const Thyra::Ordinal colCount = X.domain()->dim();
for (Teuchos::Ordinal j = Teuchos::Ordinal(); j < colCount; ++j) {
const RCP<const Thyra::VectorBase<Scalar> > X_vec = X.col(j);
const RCP<Thyra::VectorBase<Scalar> > Y_vec = Y->col(j);
const ScalarMagnitude norm_dx = Thyra::norm_2(*X_vec);
if (norm_dx == Teuchos::ScalarTraits<ScalarMagnitude>::zero()) {
if (beta == Teuchos::ScalarTraits<Scalar>::zero()) {
// Y_vec <- 0
Thyra::put_scalar(Teuchos::ScalarTraits<ScalarMagnitude>::zero(), Y_vec.ptr());
} else {
// Y_vec <- beta * Y_vec
Thyra::scale(beta, Y_vec.ptr());
}
} else {
// Scalar perturbation
const ScalarMagnitude relative_pert_ratio = static_cast<ScalarMagnitude>(lambda_);
const ScalarMagnitude eta = (relative_pert_ratio * ((norm_x_base / norm_dx) + relative_pert_ratio));
// Compute perturbed residual
// Dynamic: f_pert <- f(x_dot_base + eta * (W_alpha * X), x_base + eta * (W_beta * X))
// Static: f_pert <- f(x_base + eta * X)
const RCP<Thyra::VectorBase<Scalar> > f_pert = Thyra::createMember(this->range());
{
Thyra::ModelEvaluatorBase::InArgs<Scalar> pertInArgs = model_->createInArgs();
{
pertInArgs.setArgs(basePoint_);
const bool isDynamic = Teuchos::nonnull(x_dot_base);
if (isDynamic) {
const RCP<Thyra::VectorBase<Scalar> > x_dot_pert = Thyra::createMember(this->domain());
const Scalar W_alpha = pertInArgs.get_alpha();
Thyra::V_VpStV<Scalar>(x_dot_pert.ptr(), *x_dot_base, W_alpha * eta, *X_vec);
pertInArgs.set_x_dot(x_dot_pert);
}
const RCP<Thyra::VectorBase<Scalar> > x_pert = Thyra::createMember(this->domain());
const Scalar W_beta = isDynamic ? pertInArgs.get_beta() : Teuchos::ScalarTraits<Scalar>::one();
Thyra::V_VpStV<Scalar>(x_pert.ptr(), *x_base, W_beta * eta, *X_vec);
pertInArgs.set_x(x_pert);
}
Thyra::ModelEvaluatorBase::OutArgs<Scalar> pertOutArgs = model_->createOutArgs();
{
pertOutArgs.set_f(f_pert);
}
model_->evalModel(pertInArgs, pertOutArgs);
}
// Y <- alpha * (1/eta) * (f_pert - f_base) + beta * Y
const Scalar alpha_over_eta = alpha / eta;
if (beta == Teuchos::ScalarTraits<Scalar>::zero()) {
// Y <- alpha * (1/eta) * (f_pert - f_base)
Thyra::V_StVpStV<Scalar>(Y_vec.ptr(), alpha_over_eta, *f_pert, -alpha_over_eta, *f_base_);
} else {
// Aliasing f_pert and alpha_op_X (f_pert == alpha_op_X)
const RCP<Thyra::VectorBase<Scalar> > alpha_op_X = f_pert;
// alpha_op_X <- alpha * (1/eta) * (f_pert - f_base)
Thyra::Vp_StV(alpha_op_X.ptr(), -Teuchos::ScalarTraits<Scalar>::one(), *f_base_);
const Scalar alpha_over_eta = alpha / eta;
Thyra::Vt_S(alpha_op_X.ptr(), alpha_over_eta);
// Y <- alpha_op_X + beta * Y
Thyra::Vp_V<Scalar>(Y_vec.ptr(), *alpha_op_X, beta);
}
}
}
}