ROL
Public Member Functions | Private Attributes | List of all members
L2VectorPrimal< Real > Class Template Reference

#include <test_04.hpp>

+ Inheritance diagram for L2VectorPrimal< Real >:

Public Member Functions

 L2VectorPrimal (const ROL::Ptr< std::vector< Real >> &vec, const ROL::Ptr< BurgersFEM< Real >> &fem)
 
Real dot (const ROL::Vector< Real > &x) const override
 Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\). More...
 
ROL::Ptr< ROL::Vector< Real > > clone () const override
 Clone to make a new (uninitialized) vector. More...
 
const ROL::Vector< Real > & dual () const override
 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...
 
 L2VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< 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...
 
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector. More...
 
ROL::Ptr< const std::vector
< Real > > 
getVector () const
 
ROL::Ptr< std::vector< Real > > getVector ()
 
ROL::Ptr< 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...
 
Real apply (const ROL::Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\). More...
 
 L2VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< 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...
 
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector. More...
 
ROL::Ptr< const std::vector
< Real > > 
getVector () const
 
ROL::Ptr< std::vector< Real > > getVector ()
 
ROL::Ptr< 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...
 
Real apply (const ROL::Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\). More...
 
 L2VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< 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...
 
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector. More...
 
ROL::Ptr< const std::vector
< Real > > 
getVector () const
 
ROL::Ptr< std::vector< Real > > getVector ()
 
ROL::Ptr< 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...
 
Real apply (const ROL::Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\). More...
 
 L2VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< BurgersFEM< Real > > &fem)
 
Real dot (const ROL::Vector< Real > &x) const
 Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\). More...
 
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector. 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::StdVector< Real >
 StdVector (const Ptr< std::vector< Real >> &std_vec)
 
 StdVector (const int dim, const Realval=0.0)
 
 StdVector (std::initializer_list< Real > ilist)
 
Real & operator[] (int i)
 
const Real & operator[] (int i) const
 
void set (const Vector< Real > &x)
 Set \(y \leftarrow x\) where \(y = \mathtt{*this}\). More...
 
void plus (const Vector< Real > &x)
 Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\). More...
 
void axpy (const Real alpha, const Vector< Real > &x)
 Compute \(y \leftarrow \alpha x + y\) where \(y = \mathtt{*this}\). More...
 
void scale (const Real alpha)
 Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\). More...
 
Real norm () const
 Returns \( \| y \| \) where \(y = \mathtt{*this}\). More...
 
Ptr< const std::vector< Real > > getVector () const
 
Ptr< std::vector< Real > > getVector ()
 
Ptr< Vector< Real > > basis (const int i) const
 Return i-th basis vector. More...
 
int dimension () const
 Return dimension of the vector space. More...
 
void applyUnary (const Elementwise::UnaryFunction< Real > &f)
 
void applyBinary (const Elementwise::BinaryFunction< Real > &f, const Vector< Real > &x)
 
Real reduce (const Elementwise::ReductionOp< Real > &r) const
 
void setScalar (const Real C)
 Set \(y \leftarrow C\) where \(C\in\mathbb{R}\). More...
 
void randomize (const Real l=0.0, const Real u=1.0)
 Set vector to be uniform random between [l,u]. More...
 
virtual void print (std::ostream &outStream) const
 
- Public Member Functions inherited from ROL::Vector< Real >
virtual ~Vector ()
 
virtual void zero ()
 Set to zero vector. More...
 
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

ROL::Ptr< BurgersFEM< Real > > fem_
 
ROL::Ptr< L2VectorDual< Real > > dual_vec_
 
bool isDualInitialized_
 
ROL::Ptr< std::vector< Real > > vec_
 

Detailed Description

template<class Real>
class L2VectorPrimal< Real >

Definition at line 23 of file test_04.hpp.

Constructor & Destructor Documentation

template<class Real>
L2VectorPrimal< Real >::L2VectorPrimal ( const ROL::Ptr< std::vector< Real >> &  vec,
const ROL::Ptr< BurgersFEM< Real >> &  fem 
)
inline

Definition at line 507 of file test_04.hpp.

template<class Real>
L2VectorPrimal< Real >::L2VectorPrimal ( const ROL::Ptr< std::vector< Real > > &  vec,
const ROL::Ptr< BurgersFEM< Real > > &  fem 
)
inline

Definition at line 501 of file example_04.hpp.

template<class Real>
L2VectorPrimal< Real >::L2VectorPrimal ( const ROL::Ptr< std::vector< Real > > &  vec,
const ROL::Ptr< BurgersFEM< Real > > &  fem 
)
inline

Definition at line 505 of file example_06.hpp.

template<class Real>
L2VectorPrimal< Real >::L2VectorPrimal ( const ROL::Ptr< std::vector< Real > > &  vec,
const ROL::Ptr< BurgersFEM< Real > > &  fem 
)
inline

Definition at line 509 of file example_07.hpp.

template<class Real>
L2VectorPrimal< Real >::L2VectorPrimal ( const ROL::Ptr< std::vector< Real > > &  vec,
const ROL::Ptr< BurgersFEM< Real > > &  fem 
)
inline

Definition at line 504 of file example_08.hpp.

Member Function Documentation

template<class Real>
Real L2VectorPrimal< Real >::dot ( const ROL::Vector< Real > &  x) const
inlineoverridevirtual

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

Parameters
[in]xis 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 512 of file test_04.hpp.

References L2VectorPrimal< Real >::fem_, ROL::StdVector< Real, Element >::getVector(), and L2VectorPrimal< Real >::getVector().

Referenced by L2VectorPrimal< Real >::norm().

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< Real >::clone ( ) const
inlineoverridevirtual

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 519 of file test_04.hpp.

References L2VectorPrimal< Real >::dimension(), L2VectorPrimal< Real >::fem_, and ROL::StdVector< Real, Element >::getVector().

template<class Real>
const ROL::Vector<Real>& L2VectorPrimal< Real >::dual ( void  ) const
inlineoverridevirtual

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 525 of file test_04.hpp.

References L2VectorPrimal< Real >::dimension(), L2VectorPrimal< Real >::dual_vec_, L2VectorPrimal< Real >::fem_, ROL::StdVector< Real, Element >::getVector(), and L2VectorPrimal< Real >::isDualInitialized_.

template<class Real>
void L2VectorPrimal< Real >::set ( const ROL::Vector< Real > &  x)
inlinevirtual

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

Parameters
[in]xis 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 505 of file example_04.hpp.

References L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::plus ( const ROL::Vector< Real > &  x)
inlinevirtual

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

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

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


Implements ROL::Vector< Real >.

Definition at line 511 of file example_04.hpp.

References L2VectorPrimal< Real >::dimension(), L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::scale ( const Real  alpha)
inlinevirtual

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

Parameters
[in]alphais the scaling of \(\mathtt{*this}\).

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


Implements ROL::Vector< Real >.

Definition at line 520 of file example_04.hpp.

References L2VectorPrimal< Real >::dimension(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::dot ( const ROL::Vector< Real > &  x) const
inlinevirtual

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

Parameters
[in]xis 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 527 of file example_04.hpp.

References L2VectorPrimal< Real >::fem_, L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< 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 533 of file example_04.hpp.

References L2VectorPrimal< Real >::dot().

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< 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 539 of file example_04.hpp.

References L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<const std::vector<Real> > L2VectorPrimal< Real >::getVector ( void  ) const
inline
template<class Real>
ROL::Ptr<std::vector<Real> > L2VectorPrimal< Real >::getVector ( void  )
inline

Definition at line 547 of file example_04.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< Real >::basis ( const int  i) const
inlinevirtual

Return i-th basis vector.

Parameters
[in]iis 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 551 of file example_04.hpp.

References L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
int L2VectorPrimal< Real >::dimension ( void  ) 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 558 of file example_04.hpp.

References L2VectorPrimal< Real >::vec_.

Referenced by L2VectorPrimal< Real >::clone(), L2VectorPrimal< Real >::dual(), L2VectorPrimal< Real >::plus(), and L2VectorPrimal< Real >::scale().

template<class Real>
const ROL::Vector<Real>& L2VectorPrimal< 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 562 of file example_04.hpp.

References L2VectorPrimal< Real >::dual_vec_, L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::apply ( const ROL::Vector< Real > &  x) const
inlinevirtual

Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).

Parameters
[in]xis a vector
Returns
The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::Vector< Real >.

Definition at line 570 of file example_04.hpp.

References L2VectorDual< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::set ( const ROL::Vector< Real > &  x)
inlinevirtual

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

Parameters
[in]xis 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 509 of file example_06.hpp.

References L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::plus ( const ROL::Vector< Real > &  x)
inlinevirtual

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

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

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


Implements ROL::Vector< Real >.

Definition at line 515 of file example_06.hpp.

References L2VectorPrimal< Real >::dimension(), L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::scale ( const Real  alpha)
inlinevirtual

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

Parameters
[in]alphais the scaling of \(\mathtt{*this}\).

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


Implements ROL::Vector< Real >.

Definition at line 524 of file example_06.hpp.

References L2VectorPrimal< Real >::dimension(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::dot ( const ROL::Vector< Real > &  x) const
inlinevirtual

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

Parameters
[in]xis 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 531 of file example_06.hpp.

References L2VectorPrimal< Real >::fem_, L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< 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 537 of file example_06.hpp.

References L2VectorPrimal< Real >::dot().

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< 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 543 of file example_06.hpp.

References L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<const std::vector<Real> > L2VectorPrimal< Real >::getVector ( void  ) const
inline

Definition at line 547 of file example_06.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<std::vector<Real> > L2VectorPrimal< Real >::getVector ( void  )
inline

Definition at line 551 of file example_06.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< Real >::basis ( const int  i) const
inlinevirtual

Return i-th basis vector.

Parameters
[in]iis 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 555 of file example_06.hpp.

References L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
int L2VectorPrimal< Real >::dimension ( void  ) 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 562 of file example_06.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
const ROL::Vector<Real>& L2VectorPrimal< 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 566 of file example_06.hpp.

References L2VectorPrimal< Real >::dual_vec_, L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::apply ( const ROL::Vector< Real > &  x) const
inlinevirtual

Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).

Parameters
[in]xis a vector
Returns
The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::Vector< Real >.

Definition at line 574 of file example_06.hpp.

References L2VectorDual< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::set ( const ROL::Vector< Real > &  x)
inlinevirtual

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

Parameters
[in]xis 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 513 of file example_07.hpp.

References L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::plus ( const ROL::Vector< Real > &  x)
inlinevirtual

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

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

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


Implements ROL::Vector< Real >.

Definition at line 519 of file example_07.hpp.

References L2VectorPrimal< Real >::dimension(), L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
void L2VectorPrimal< Real >::scale ( const Real  alpha)
inlinevirtual

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

Parameters
[in]alphais the scaling of \(\mathtt{*this}\).

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


Implements ROL::Vector< Real >.

Definition at line 528 of file example_07.hpp.

References L2VectorPrimal< Real >::dimension(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::dot ( const ROL::Vector< Real > &  x) const
inlinevirtual

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

Parameters
[in]xis 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 535 of file example_07.hpp.

References L2VectorPrimal< Real >::fem_, L2VectorPrimal< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< 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 541 of file example_07.hpp.

References L2VectorPrimal< Real >::dot().

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< 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 547 of file example_07.hpp.

References L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<const std::vector<Real> > L2VectorPrimal< Real >::getVector ( void  ) const
inline

Definition at line 551 of file example_07.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<std::vector<Real> > L2VectorPrimal< Real >::getVector ( void  )
inline

Definition at line 555 of file example_07.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< Real >::basis ( const int  i) const
inlinevirtual

Return i-th basis vector.

Parameters
[in]iis 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 559 of file example_07.hpp.

References L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
int L2VectorPrimal< Real >::dimension ( void  ) 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 566 of file example_07.hpp.

References L2VectorPrimal< Real >::vec_.

template<class Real>
const ROL::Vector<Real>& L2VectorPrimal< 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 570 of file example_07.hpp.

References L2VectorPrimal< Real >::dual_vec_, L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::apply ( const ROL::Vector< Real > &  x) const
inlinevirtual

Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).

Parameters
[in]xis a vector
Returns
The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::Vector< Real >.

Definition at line 578 of file example_07.hpp.

References L2VectorDual< Real >::getVector(), and L2VectorPrimal< Real >::vec_.

template<class Real>
Real L2VectorPrimal< Real >::dot ( const ROL::Vector< Real > &  x) const
inlinevirtual

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

Parameters
[in]xis 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 509 of file example_08.hpp.

References L2VectorPrimal< Real >::fem_, ROL::StdVector< Real, Element >::getVector(), and L2VectorPrimal< Real >::getVector().

template<class Real>
ROL::Ptr<ROL::Vector<Real> > L2VectorPrimal< 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 516 of file example_08.hpp.

References ROL::StdVector< Real, Element >::dimension(), and L2VectorPrimal< Real >::fem_.

template<class Real>
const ROL::Vector<Real>& L2VectorPrimal< 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 521 of file example_08.hpp.

References ROL::StdVector< Real, Element >::dimension(), L2VectorPrimal< Real >::dual_vec_, L2VectorPrimal< Real >::fem_, and L2VectorPrimal< Real >::isDualInitialized_.

Member Data Documentation

template<class Real>
ROL::Ptr< BurgersFEM< Real > > L2VectorPrimal< Real >::fem_
private
template<class Real>
ROL::Ptr< L2VectorDual< Real > > L2VectorPrimal< Real >::dual_vec_
mutableprivate

Definition at line 503 of file test_04.hpp.

Referenced by L2VectorPrimal< Real >::dual().

template<class Real>
bool L2VectorPrimal< Real >::isDualInitialized_
mutableprivate

Definition at line 504 of file test_04.hpp.

Referenced by L2VectorPrimal< Real >::dual().

template<class Real>
ROL::Ptr< std::vector< Real > > L2VectorPrimal< Real >::vec_
private

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