#include <example_04.hpp>

Inheritance diagram for H1VectorDual< Real >:

Public Member Functions
	H1VectorDual (const Teuchos::RCP< std::vector< Real > > &vec, const Teuchos::RCP< BurgersFEM< Real > > &fem)

void	set (const ROL::Vector< Real > &x)
	Set \(y \leftarrow x\) where \(y = \mathtt{*this}\). More...

void	plus (const ROL::Vector< Real > &x)
	Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\). More...

void	scale (const Real alpha)
	Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\). More...

Real	dot (const ROL::Vector< Real > &x) const
	Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\). More...

Real	norm () const
	Returns \( \\| y \\| \) where \(y = \mathtt{*this}\). More...

Teuchos::RCP< ROL::Vector< Real > >	clone () const
	Clone to make a new (uninitialized) vector. More...

Teuchos::RCP< const std::vector< Real > >	getVector () const

Teuchos::RCP< std::vector< Real > >	getVector ()

Teuchos::RCP< ROL::Vector< Real > >	basis (const int i) const
	Return i-th basis vector. More...

int	dimension () const
	Return dimension of the vector space. More...

const ROL::Vector< Real > &	dual () const
	Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout. More...

	H1VectorDual (const Teuchos::RCP< std::vector< Real > > &vec, const Teuchos::RCP< BurgersFEM< Real > > &fem)

void	set (const ROL::Vector< Real > &x)
	Set \(y \leftarrow x\) where \(y = \mathtt{*this}\). More...

void	plus (const ROL::Vector< Real > &x)
	Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\). More...

void	scale (const Real alpha)
	Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\). More...

Real	dot (const ROL::Vector< Real > &x) const
	Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\). More...

Real	norm () const
	Returns \( \\| y \\| \) where \(y = \mathtt{*this}\). More...

Teuchos::RCP< ROL::Vector< Real > >	clone () const
	Clone to make a new (uninitialized) vector. More...

Teuchos::RCP< const std::vector< Real > >	getVector () const

Teuchos::RCP< std::vector< Real > >	getVector ()

Teuchos::RCP< ROL::Vector< Real > >	basis (const int i) const
	Return i-th basis vector. More...

int	dimension () const
	Return dimension of the vector space. More...

const ROL::Vector< Real > &	dual () const
	Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout. More...

	H1VectorDual (const Teuchos::RCP< std::vector< Real > > &vec, const Teuchos::RCP< BurgersFEM< Real > > &fem)

void	set (const ROL::Vector< Real > &x)
	Set \(y \leftarrow x\) where \(y = \mathtt{*this}\). More...

void	plus (const ROL::Vector< Real > &x)
	Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\). More...

void	scale (const Real alpha)
	Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\). More...

Real	dot (const ROL::Vector< Real > &x) const
	Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\). More...

Real	norm () const
	Returns \( \\| y \\| \) where \(y = \mathtt{*this}\). More...

Teuchos::RCP< ROL::Vector< Real > >	clone () const
	Clone to make a new (uninitialized) vector. More...

Teuchos::RCP< const std::vector< Real > >	getVector () const

Teuchos::RCP< std::vector< Real > >	getVector ()

Teuchos::RCP< ROL::Vector< Real > >	basis (const int i) const
	Return i-th basis vector. More...

int	dimension () const
	Return dimension of the vector space. More...

const ROL::Vector< Real > &	dual () const
	Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout. More...

Public Member Functions inherited from ROL::Vector< Real >
virtual	~Vector ()

virtual void	axpy (const Real alpha, const Vector &x)
	Compute \(y \leftarrow \alpha x + y\) where \(y = \mathtt{*this}\). More...

virtual void	zero ()
	Set to zero vector. More...

virtual void	applyUnary (const Elementwise::UnaryFunction< Real > &f)

virtual void	applyBinary (const Elementwise::BinaryFunction< Real > &f, const Vector &x)

virtual Real	reduce (const Elementwise::ReductionOp< Real > &r) const

virtual std::vector< Real >	checkVector (const Vector< Real > &x, const Vector< Real > &y, const bool printToStream=true, std::ostream &outStream=std::cout) const
	Verify vector-space methods. More...

Private Attributes
Teuchos::RCP< std::vector< Real > >	vec_

Teuchos::RCP< BurgersFEM< Real > >	fem_

Teuchos::RCP< H1VectorPrimal< Real > >	dual_vec_

Detailed Description

template<class Real>
class H1VectorDual< Real >

Definition at line 67 of file example_04.hpp.

Constructor & Destructor Documentation

template<class Real >

H1VectorDual< Real >::H1VectorDual	(	const Teuchos::RCP< std::vector< Real > > &	vec,
		const Teuchos::RCP< BurgersFEM< Real > > &	fem
	)

inline

Definition at line 827 of file example_04.hpp.

template<class Real >

H1VectorDual< Real >::H1VectorDual	(	const Teuchos::RCP< std::vector< Real > > &	vec,
		const Teuchos::RCP< BurgersFEM< Real > > &	fem
	)

inline

Definition at line 832 of file example_06.hpp.

template<class Real >

H1VectorDual< Real >::H1VectorDual	(	const Teuchos::RCP< std::vector< Real > > &	vec,
		const Teuchos::RCP< BurgersFEM< Real > > &	fem
	)

inline

Definition at line 836 of file example_07.hpp.

Member Function Documentation

template<class Real >

void H1VectorDual< Real >::set ( const ROL::Vector< Real > & x )

inlinevirtual

Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).

Parameters

[in] x is a vector.

On return \(\mathtt{*this} = x\). Uses zero and plus methods for the computation. Please overload if a more efficient implementation is needed.

Reimplemented from ROL::Vector< Real >.

Definition at line 831 of file example_04.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

void H1VectorDual< Real >::plus ( const ROL::Vector< Real > & x )

inlinevirtual

Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector to be added to \(\mathtt{*this}\).

On return \(\mathtt{*this} = \mathtt{*this} + x\).

Implements ROL::Vector< Real >.

Definition at line 837 of file example_04.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

void H1VectorDual< Real >::scale ( const Real alpha )

inlinevirtual

Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).

Parameters

[in] alpha is the scaling of \(\mathtt{*this}\).

On return \(\mathtt{*this} = \alpha (\mathtt{*this}) \).

Implements ROL::Vector< Real >.

Definition at line 846 of file example_04.hpp.

template<class Real >

Real H1VectorDual< Real >::dot ( const ROL::Vector< Real > & x ) const

inlinevirtual

Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector that forms the dot product with \(\mathtt{*this}\).

Returns: The number equal to \(\langle \mathtt{*this}, x \rangle\).

Implements ROL::Vector< Real >.

Definition at line 853 of file example_04.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

Real H1VectorDual< Real >::norm ( ) const

inlinevirtual

Returns \( \| y \| \) where \(y = \mathtt{*this}\).

Returns: A nonnegative number equal to the norm of \(\mathtt{*this}\).

Implements ROL::Vector< Real >.

Definition at line 866 of file example_04.hpp.

template<class Real >

Teuchos::RCP<ROL::Vector<Real> > H1VectorDual< Real >::clone ( ) const

inlinevirtual

Clone to make a new (uninitialized) vector.

Returns: A reference-counted pointer to the cloned vector.

Provides the means of allocating temporary memory in ROL.

Implements ROL::Vector< Real >.

Definition at line 872 of file example_04.hpp.

template<class Real >

Teuchos::RCP<const std::vector<Real> > H1VectorDual< Real >::getVector ( ) const

inline

Definition at line 876 of file example_04.hpp.

Referenced by H1VectorDual< Real >::dot(), H1VectorDual< Real >::plus(), and H1VectorDual< Real >::set().

template<class Real >

Teuchos::RCP<std::vector<Real> > H1VectorDual< Real >::getVector ( )

inline

Definition at line 880 of file example_04.hpp.

template<class Real >

Teuchos::RCP<ROL::Vector<Real> > H1VectorDual< Real >::basis ( const int i ) const

inlinevirtual

Return i-th basis vector.

Parameters

[in] i is the index of the basis function.

Returns: A reference-counted pointer to the basis vector with index i.

Overloading the basis is only required if the default gradient implementation is used, which computes a finite-difference approximation.

Reimplemented from ROL::Vector< Real >.

Definition at line 884 of file example_04.hpp.

template<class Real >

int H1VectorDual< Real >::dimension ( ) const

inlinevirtual

Return dimension of the vector space.

Returns: The dimension of the vector space, i.e., the total number of basis vectors.

Overload if the basis is overloaded.

Reimplemented from ROL::Vector< Real >.

Definition at line 891 of file example_04.hpp.

template<class Real >

const ROL::Vector<Real>& H1VectorDual< Real >::dual ( void ) const

inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns: A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.

Reimplemented from ROL::Vector< Real >.

Definition at line 895 of file example_04.hpp.

template<class Real >

void H1VectorDual< Real >::set ( const ROL::Vector< Real > & x )

inlinevirtual

Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).

Parameters

[in] x is a vector.

On return \(\mathtt{*this} = x\). Uses zero and plus methods for the computation. Please overload if a more efficient implementation is needed.

Reimplemented from ROL::Vector< Real >.

Definition at line 836 of file example_06.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

void H1VectorDual< Real >::plus ( const ROL::Vector< Real > & x )

inlinevirtual

Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector to be added to \(\mathtt{*this}\).

On return \(\mathtt{*this} = \mathtt{*this} + x\).

Implements ROL::Vector< Real >.

Definition at line 842 of file example_06.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

void H1VectorDual< Real >::scale ( const Real alpha )

inlinevirtual

Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).

Parameters

[in] alpha is the scaling of \(\mathtt{*this}\).

On return \(\mathtt{*this} = \alpha (\mathtt{*this}) \).

Implements ROL::Vector< Real >.

Definition at line 851 of file example_06.hpp.

template<class Real >

Real H1VectorDual< Real >::dot ( const ROL::Vector< Real > & x ) const

inlinevirtual

Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector that forms the dot product with \(\mathtt{*this}\).

Returns: The number equal to \(\langle \mathtt{*this}, x \rangle\).

Implements ROL::Vector< Real >.

Definition at line 858 of file example_06.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

Real H1VectorDual< Real >::norm ( ) const

inlinevirtual

Returns \( \| y \| \) where \(y = \mathtt{*this}\).

Returns: A nonnegative number equal to the norm of \(\mathtt{*this}\).

Implements ROL::Vector< Real >.

Definition at line 871 of file example_06.hpp.

template<class Real >

Teuchos::RCP<ROL::Vector<Real> > H1VectorDual< Real >::clone ( ) const

inlinevirtual

Clone to make a new (uninitialized) vector.

Returns: A reference-counted pointer to the cloned vector.

Provides the means of allocating temporary memory in ROL.

Implements ROL::Vector< Real >.

Definition at line 877 of file example_06.hpp.

template<class Real >

Teuchos::RCP<const std::vector<Real> > H1VectorDual< Real >::getVector ( ) const

inline

Definition at line 881 of file example_06.hpp.

template<class Real >

Teuchos::RCP<std::vector<Real> > H1VectorDual< Real >::getVector ( )

inline

Definition at line 885 of file example_06.hpp.

template<class Real >

Teuchos::RCP<ROL::Vector<Real> > H1VectorDual< Real >::basis ( const int i ) const

inlinevirtual

Return i-th basis vector.

Parameters

[in] i is the index of the basis function.

Returns: A reference-counted pointer to the basis vector with index i.

Overloading the basis is only required if the default gradient implementation is used, which computes a finite-difference approximation.

Reimplemented from ROL::Vector< Real >.

Definition at line 889 of file example_06.hpp.

template<class Real >

int H1VectorDual< Real >::dimension ( ) const

inlinevirtual

Return dimension of the vector space.

Returns: The dimension of the vector space, i.e., the total number of basis vectors.

Overload if the basis is overloaded.

Reimplemented from ROL::Vector< Real >.

Definition at line 896 of file example_06.hpp.

template<class Real >

const ROL::Vector<Real>& H1VectorDual< Real >::dual ( void ) const

inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns: A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.

Reimplemented from ROL::Vector< Real >.

Definition at line 900 of file example_06.hpp.

template<class Real >

void H1VectorDual< Real >::set ( const ROL::Vector< Real > & x )

inlinevirtual

Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).

Parameters

[in] x is a vector.

On return \(\mathtt{*this} = x\). Uses zero and plus methods for the computation. Please overload if a more efficient implementation is needed.

Reimplemented from ROL::Vector< Real >.

Definition at line 840 of file example_07.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

void H1VectorDual< Real >::plus ( const ROL::Vector< Real > & x )

inlinevirtual

Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector to be added to \(\mathtt{*this}\).

On return \(\mathtt{*this} = \mathtt{*this} + x\).

Implements ROL::Vector< Real >.

Definition at line 846 of file example_07.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

void H1VectorDual< Real >::scale ( const Real alpha )

inlinevirtual

Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).

Parameters

[in] alpha is the scaling of \(\mathtt{*this}\).

On return \(\mathtt{*this} = \alpha (\mathtt{*this}) \).

Implements ROL::Vector< Real >.

Definition at line 855 of file example_07.hpp.

template<class Real >

Real H1VectorDual< Real >::dot ( const ROL::Vector< Real > & x ) const

inlinevirtual

Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\).

Parameters

[in] x is the vector that forms the dot product with \(\mathtt{*this}\).

Returns: The number equal to \(\langle \mathtt{*this}, x \rangle\).

Implements ROL::Vector< Real >.

Definition at line 862 of file example_07.hpp.

References H1VectorDual< Real >::getVector().

template<class Real >

Real H1VectorDual< Real >::norm ( ) const

inlinevirtual

Returns \( \| y \| \) where \(y = \mathtt{*this}\).

Returns: A nonnegative number equal to the norm of \(\mathtt{*this}\).

Implements ROL::Vector< Real >.

Definition at line 875 of file example_07.hpp.

template<class Real >

Teuchos::RCP<ROL::Vector<Real> > H1VectorDual< Real >::clone ( ) const

inlinevirtual

Clone to make a new (uninitialized) vector.

Returns: A reference-counted pointer to the cloned vector.

Provides the means of allocating temporary memory in ROL.

Implements ROL::Vector< Real >.

Definition at line 881 of file example_07.hpp.

template<class Real >

Teuchos::RCP<const std::vector<Real> > H1VectorDual< Real >::getVector ( ) const

inline

Definition at line 885 of file example_07.hpp.

template<class Real >

Teuchos::RCP<std::vector<Real> > H1VectorDual< Real >::getVector ( )

inline

Definition at line 889 of file example_07.hpp.

template<class Real >

Teuchos::RCP<ROL::Vector<Real> > H1VectorDual< Real >::basis ( const int i ) const

inlinevirtual

Return i-th basis vector.

Parameters

[in] i is the index of the basis function.

Returns: A reference-counted pointer to the basis vector with index i.

Overloading the basis is only required if the default gradient implementation is used, which computes a finite-difference approximation.

Reimplemented from ROL::Vector< Real >.

Definition at line 893 of file example_07.hpp.

template<class Real >

int H1VectorDual< Real >::dimension ( ) const

inlinevirtual

Return dimension of the vector space.

Returns: The dimension of the vector space, i.e., the total number of basis vectors.

Overload if the basis is overloaded.

Reimplemented from ROL::Vector< Real >.

Definition at line 900 of file example_07.hpp.

template<class Real >

const ROL::Vector<Real>& H1VectorDual< Real >::dual ( void ) const

inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns: A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.

Reimplemented from ROL::Vector< Real >.

Definition at line 904 of file example_07.hpp.

Member Data Documentation

template<class Real >

Teuchos::RCP< std::vector< Real > > H1VectorDual< Real >::vec_

private

Definition at line 821 of file example_04.hpp.

template<class Real >

Teuchos::RCP< BurgersFEM< Real > > H1VectorDual< Real >::fem_

private

Definition at line 822 of file example_04.hpp.

template<class Real >

Teuchos::RCP< H1VectorPrimal< Real > > H1VectorDual< Real >::dual_vec_

mutableprivate

Definition at line 824 of file example_04.hpp.

The documentation for this class was generated from the following files:

Public Member Functions

Private Attributes

Detailed Description

template<class Real> class H1VectorDual< Real >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Real>
class H1VectorDual< Real >