dune-fem  2.8-git
Public Types | Public Member Functions | Protected Member Functions | Static Protected Member Functions | Related Functions | List of all members
Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > > Class Template Reference

#include <dune/fem/function/common/common.hh>

Inheritance diagram for Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >:
Inheritance graph

Public Types

typedef BaseType::DomainType DomainType
 
typedef BaseType::RangeType RangeType
 
typedef BaseType::JacobianRangeType JacobianRangeType
 
typedef BaseType::HessianRangeType HessianRangeType
 
typedef FunctionSpace< ct, ct, dimworld, dimworld > FunctionSpaceType
 type of function space this function belongs to More...
 
typedef Identity< FunctionSpace< ct, ct, dimworld, dimworld > > FunctionType
 type of the implementation (Barton-Nackman) More...
 
typedef FunctionSpaceType ::DomainFieldType DomainFieldType
 field type of domain More...
 
typedef FunctionSpaceType ::RangeFieldType RangeFieldType
 field type of range More...
 
typedef Mapping< DomainFieldType, RangeFieldType, DomainType, RangeType > MappingType
 type of mapping base class More...
 

Public Member Functions

void evaluate (const DomainType &x, RangeType &value) const
 
void jacobian (const DomainType &x, JacobianRangeType &jacobian) const
 
void hessian (const DomainType &x, HessianRangeType &hessian) const
 
virtual void operator() (const DomainType &arg, RangeType &dest) const
 application operator call evaluate More...
 
void evaluate (const DomainType &x, RangeType &value) const
 evaluate the function More...
 
void jacobian (const DomainType &x, JacobianRangeType &jacobian) const
 evaluate the Jacobian of the function More...
 
void hessian (const DomainType &x, HessianRangeType &hessian) const
 evaluate the hessian of the function More...
 

Protected Member Functions

const Implementation & asImp () const
 
Implementation & asImp ()
 
const Implementation & asImp () const
 

Static Protected Member Functions

static const Implementation & asImp (const ThisType &other)
 
static Implementation & asImp (ThisType &other)
 
static const Implementation & asImp (const ThisType &other)
 
static Implementation & asImp (ThisType &other)
 

Related Functions

(Note that these are not member functions.)

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator+ (const Mapping< DFieldType, RFieldType, DType, RType > &a, const Mapping< DFieldType, RFieldType, DType, RType > &b)
 add two mappings More...
 
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator- (const Mapping< DFieldType, RFieldType, DType, RType > &a, const Mapping< DFieldType, RFieldType, DType, RType > &b)
 substract two mappings More...
 
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator* (const Mapping< DFieldType, RFieldType, DType, RType > &mapping, const RFieldType &factor)
 scale mapping with factor More...
 
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator* (const RFieldType &factor, const Mapping< DFieldType, RFieldType, DType, RType > &mapping)
 scale mapping with factor More...
 
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator/ (const Mapping< DFieldType, RFieldType, DType, RType > &mapping, const RFieldType &factor)
 operator / for mappings More...
 
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator/ (const RFieldType &factor, const Mapping< DFieldType, RFieldType, DType, RType > &mapping)
 operator / for mappings More...
 

Member Typedef Documentation

◆ DomainFieldType

typedef FunctionSpaceType :: DomainFieldType Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::DomainFieldType
inherited

field type of domain

◆ DomainType

template<class ct , int dimworld>
typedef BaseType::DomainType Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::DomainType

◆ FunctionSpaceType

typedef FunctionSpace< ct, ct, dimworld, dimworld > Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::FunctionSpaceType
inherited

type of function space this function belongs to

◆ FunctionType

typedef Identity< FunctionSpace< ct, ct, dimworld, dimworld > > Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::FunctionType
inherited

type of the implementation (Barton-Nackman)

◆ HessianRangeType

template<class ct , int dimworld>
typedef BaseType::HessianRangeType Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::HessianRangeType

◆ JacobianRangeType

template<class ct , int dimworld>
typedef BaseType::JacobianRangeType Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::JacobianRangeType

◆ MappingType

typedef Mapping< DomainFieldType, RangeFieldType, DomainType, RangeType > Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::MappingType
inherited

type of mapping base class

◆ RangeFieldType

typedef FunctionSpaceType :: RangeFieldType Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::RangeFieldType
inherited

field type of range

◆ RangeType

template<class ct , int dimworld>
typedef BaseType::RangeType Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::RangeType

Member Function Documentation

◆ asImp() [1/7]

Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp
inlineprotectedinherited

◆ asImp() [2/7]

const Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp
inlineprotectedinherited

◆ asImp() [3/7]

template<class Interface , class Implementation >
const Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( ) const
inlineprotectedinherited

◆ asImp() [4/7]

static const Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp
inlinestaticprotectedinherited

◆ asImp() [5/7]

template<class Interface , class Implementation >
static const Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( const ThisType &  other)
inlinestaticprotectedinherited

◆ asImp() [6/7]

static Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp
inlinestaticprotectedinherited

◆ asImp() [7/7]

template<class Interface , class Implementation >
static Implementation& Dune::Fem::BartonNackmanInterface< Interface, Implementation >::asImp ( ThisType &  other)
inlinestaticprotectedinherited

◆ evaluate() [1/2]

template<class ct , int dimworld>
void Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::evaluate ( const DomainType &  x,
RangeType &  value 
) const
inline

◆ evaluate() [2/2]

void Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::evaluate ( const DomainType &  x,
RangeType &  value 
) const
inlineinherited

evaluate the function

Parameters
[in]xevaluation point
[out]valuevalue of the function in x

◆ hessian() [1/2]

template<class ct , int dimworld>
void Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::hessian ( const DomainType &  x,
HessianRangeType &  hessian 
) const
inline

◆ hessian() [2/2]

void Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::hessian ( const DomainType &  x,
HessianRangeType &  hessian 
) const
inlineinherited

evaluate the hessian of the function

Parameters
[in]xevaluation point
[out]hessianvalue of the hessian in x

◆ jacobian() [1/2]

template<class ct , int dimworld>
void Dune::Fem::Identity< FunctionSpace< ct, ct, dimworld, dimworld > >::jacobian ( const DomainType &  x,
JacobianRangeType &  jacobian 
) const
inline

◆ jacobian() [2/2]

void Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::jacobian ( const DomainType &  x,
JacobianRangeType &  jacobian 
) const
inlineinherited

evaluate the Jacobian of the function

Parameters
[in]xevaluation point
[out]jacobianvalue of the Jacobian in x

◆ operator()()

virtual void Dune::Fem::Function< FunctionSpace< ct, ct, dimworld, dimworld > , Identity< FunctionSpace< ct, ct, dimworld, dimworld > > >::operator() ( const DomainType &  arg,
RangeType &  dest 
) const
inlinevirtualinherited

application operator call evaluate

Parameters
[in]argargument
[out]destdestination, i.e. f(arg)

Friends And Related Function Documentation

◆ operator*() [1/2]

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator* ( const Mapping< DFieldType, RFieldType, DType, RType > &  mapping,
const RFieldType &  factor 
)
related

scale mapping with factor

Parameters
[in]mappingMapping which is scaled
[in]factorfactor with which mapping is scaled
Returns
new object mapping

◆ operator*() [2/2]

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator* ( const RFieldType &  factor,
const Mapping< DFieldType, RFieldType, DType, RType > &  mapping 
)
related

scale mapping with factor

Parameters
[in]factorfactor with which mapping is scaled
[in]mappingMapping which is scaled
Returns
new object mapping

◆ operator+()

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator+ ( const Mapping< DFieldType, RFieldType, DType, RType > &  a,
const Mapping< DFieldType, RFieldType, DType, RType > &  b 
)
related

add two mappings

Parameters
[in]amapping 1
[in]bmapping 2
Returns
new object mapping

◆ operator-()

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator- ( const Mapping< DFieldType, RFieldType, DType, RType > &  a,
const Mapping< DFieldType, RFieldType, DType, RType > &  b 
)
related

substract two mappings

Parameters
[in]amapping 1
[in]bmapping 2
Returns
new object mapping

◆ operator/() [1/2]

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator/ ( const Mapping< DFieldType, RFieldType, DType, RType > &  mapping,
const RFieldType &  factor 
)
related

operator / for mappings

Parameters
[in]mappingmapping which is divided
[in]factorf factor by which result of mapping is divided
Returns
new object mapping

◆ operator/() [2/2]

template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType > operator/ ( const RFieldType &  factor,
const Mapping< DFieldType, RFieldType, DType, RType > &  mapping 
)
related

operator / for mappings

Parameters
[in]factorby which result of mapping is divided
[in]mappingwhich is divided
Returns
new object mapping
The documentation for this class was generated from the following file:
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