ExampleTridiagSerialLinearOp.hpp

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//    Thyra: Interfaces and Support for Abstract Numerical Algorithms
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#ifndef THYRA_EXAMPLE_TRIDIAG_SERIAL_LINEAR_OP_HPP
#define THYRA_EXAMPLE_TRIDIAG_SERIAL_LINEAR_OP_HPP

#include "Thyra_LinearOpDefaultBase.hpp"
#include "Thyra_DefaultSpmdVectorSpace.hpp"
#include "Thyra_DetachedVectorView.hpp"
#include "Teuchos_Assert.hpp"


template<class Scalar>
class ExampleTridiagSerialLinearOp : public Thyra::LinearOpDefaultBase<Scalar>
{
public:

  ExampleTridiagSerialLinearOp() {}

  ExampleTridiagSerialLinearOp(
    const Thyra::Ordinal dim,
    const Teuchos::ArrayView<const Scalar> &lower,
    const Teuchos::ArrayView<const Scalar> &diag,
    const Teuchos::ArrayView<const Scalar> &upper
    )
    { this->initialize(dim, lower, diag, upper);  }
  
  void initialize(
    const Thyra::Ordinal dim,
    const Teuchos::ArrayView<const Scalar> &lower,
    const Teuchos::ArrayView<const Scalar> &diag,
    const Teuchos::ArrayView<const Scalar> &upper
    )
    {
      TEST_FOR_EXCEPT( dim < 2 );
      space_ = Thyra::defaultSpmdVectorSpace<Scalar>(dim);
      lower_ = lower;
      diag_ = diag;
      upper_ = upper;
    }

protected:

  // Overridden from LinearOpBase

  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > range() const
    { return space_; }

  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > domain() const
    { return space_; }

  bool opSupportedImpl(Thyra::EOpTransp M_trans) const
    { return true; }  // This class supports everything!

  void applyImpl(
    const Thyra::EOpTransp M_trans,
    const Thyra::MultiVectorBase<Scalar> &X_in,
    const Teuchos::Ptr<Thyra::MultiVectorBase<Scalar> > &Y_inout,
    const Scalar alpha,
    const Scalar beta
    ) const;

private:

  Teuchos::RCP<const Thyra::VectorSpaceBase<Scalar> > space_;
  Teuchos::Array<Scalar> lower_;   // size = dim - 1    
  Teuchos::Array<Scalar> diag_;    // size = dim
  Teuchos::Array<Scalar> upper_;   // size = dim - 1

};  // end class ExampleTridiagSerialLinearOp


template<class Scalar>
void ExampleTridiagSerialLinearOp<Scalar>::applyImpl(
  const Thyra::EOpTransp M_trans,
  const Thyra::MultiVectorBase<Scalar> &X_in,
  const Teuchos::Ptr<Thyra::MultiVectorBase<Scalar> > &Y_inout,
  const Scalar alpha,
  const Scalar beta
  ) const
{

  typedef Teuchos::ScalarTraits<Scalar> ST;
  typedef Thyra::Ordinal Ordinal;

  const Ordinal dim = space_->dim();
      
  // Loop over the input columns

  const Ordinal m = X_in.domain()->dim();

  for (Ordinal col_j = 0; col_j < m; ++col_j) {

    // Get access the the elements of column j
    Thyra::ConstDetachedVectorView<Scalar> x_vec(X_in.col(col_j));
    Thyra::DetachedVectorView<Scalar> y_vec(Y_inout->col(col_j));
    const Teuchos::ArrayRCP<const Scalar> x = x_vec.sv().values();
    const Teuchos::ArrayRCP<Scalar> y = y_vec.sv().values();
        
    // Perform y = beta*y (being careful to set y=0 if beta=0 in case y is
    // uninitialized on input!)
    if( beta == ST::zero() ) {
      for( Ordinal k = 0; k < dim; ++k ) y[k] = ST::zero();
    }
    else if( beta != ST::one() ) {
      for( Ordinal k = 0; k < dim; ++k ) y[k] *= beta;
    }

    // Perform y = alpha*op(M)*x 
    Ordinal k = 0;
    if( M_trans == Thyra::NOTRANS ) {
      y[k] += alpha * ( diag_[k]*x[k] + upper_[k]*x[k+1] );  // First row
      for( k = 1; k < dim - 1; ++k )   // Middle rows
        y[k] += alpha * ( lower_[k-1]*x[k-1] + diag_[k]*x[k] + upper_[k]*x[k+1] );
      y[k] += alpha * ( lower_[k-1]*x[k-1] + diag_[k]*x[k] ); // Last row
    }
    else if( M_trans == Thyra::CONJ ) {
      y[k] += alpha * ( ST::conjugate(diag_[k])*x[k] + ST::conjugate(upper_[k])*x[k+1] );
      for( k = 1; k < dim - 1; ++k )
        y[k] += alpha * ( ST::conjugate(lower_[k-1])*x[k-1]
          + ST::conjugate(diag_[k])*x[k] + ST::conjugate(upper_[k])*x[k+1] );
      y[k] += alpha * ( ST::conjugate(lower_[k-1])*x[k-1] + ST::conjugate(diag_[k])*x[k] );
    }
    else if( M_trans == Thyra::TRANS ) {
      y[k] += alpha * ( diag_[k]*x[k] + lower_[k]*x[k+1] );
      for( k = 1; k < dim - 1; ++k )
        y[k] += alpha * ( upper_[k-1]*x[k-1] + diag_[k]*x[k] + lower_[k]*x[k+1] );
      y[k] += alpha * ( upper_[k-1]*x[k-1] + diag_[k]*x[k] );
    }
    else if( M_trans == Thyra::CONJTRANS ) {
      y[k] += alpha * ( ST::conjugate(diag_[k])*x[k] + ST::conjugate(lower_[k])*x[k+1] );
      for( k = 1; k < dim - 1; ++k )
        y[k] += alpha * ( ST::conjugate(upper_[k-1])*x[k-1]
          + ST::conjugate(diag_[k])*x[k] + ST::conjugate(lower_[k])*x[k+1] );
      y[k] += alpha * ( ST::conjugate(upper_[k-1])*x[k-1] + ST::conjugate(diag_[k])*x[k] );
    }
    else {
      TEST_FOR_EXCEPT(true); // Throw exception if we get here!
    }
  }

}


#endif  // THYRA_EXAMPLE_TRIDIAG_SERIAL_LINEAR_OP_HPP