Reference documentation for deal.II version Git 16b398077e 2020-12-04 17:16:12 -0500
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Public Types | Public Member Functions | Static Public Member Functions | Public Attributes | Static Public Attributes | Protected Attributes | List of all members
ComponentSelectFunction< dim, RangeNumberType > Class Template Reference

#include <deal.II/base/function.h>

Inheritance diagram for ComponentSelectFunction< dim, RangeNumberType >:
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Public Types

using time_type = typename FunctionTime< typename numbers::NumberTraits< RangeNumberType >::real_type >::time_type
 

Public Member Functions

 ComponentSelectFunction (const unsigned int selected, const RangeNumberType value, const unsigned int n_components)
 
 ComponentSelectFunction (const unsigned int selected, const unsigned int n_components)
 
 ComponentSelectFunction (const std::pair< unsigned int, unsigned int > &selected, const unsigned int n_components)
 
virtual void substitute_function_value_with (const Functions::ConstantFunction< dim, RangeNumberType > &f)
 
virtual void vector_value (const Point< dim > &p, Vector< RangeNumberType > &return_value) const override
 
virtual void vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< RangeNumberType >> &values) const override
 
std::size_t memory_consumption () const
 
virtual RangeNumberType value (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void value_list (const std::vector< Point< dim >> &points, std::vector< RangeNumberType > &return_values, const unsigned int component=0) const override
 
virtual Tensor< 1, dim, RangeNumberType > gradient (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, RangeNumberType >> &gradients) const override
 
virtual void gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim, RangeNumberType >> &gradients, const unsigned int component=0) const override
 
virtual void vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &gradients) const override
 
virtual SymmetricTensor< 2, dim, RangeNumberType > hessian (const Point< dim > &point, const unsigned int component=0) const override
 
virtual RangeNumberType laplacian (const Point< dim > &point, const unsigned int component=0) const override
 
virtual void vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< RangeNumberType >> &values) const
 
virtual void vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &gradients) const
 
virtual void vector_laplacian (const Point< dim > &p, Vector< RangeNumberType > &values) const
 
virtual void laplacian_list (const std::vector< Point< dim >> &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const
 
virtual void vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< RangeNumberType >> &values) const
 
virtual void vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, RangeNumberType >> &values) const
 
virtual void hessian_list (const std::vector< Point< dim >> &points, std::vector< SymmetricTensor< 2, dim, RangeNumberType >> &values, const unsigned int component=0) const
 
virtual void vector_hessian_list (const std::vector< Point< dim >> &points, std::vector< std::vector< SymmetricTensor< 2, dim, RangeNumberType >>> &values) const
 
numbers::NumberTraits< RangeNumberType >::real_type get_time () const
 
virtual void set_time (const numbers::NumberTraits< RangeNumberType >::real_type new_time)
 
virtual void advance_time (const numbers::NumberTraits< RangeNumberType >::real_type delta_t)
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
Subscriptor functionality

Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.

void subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
 
void unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const
 
unsigned int n_subscriptions () const
 
template<typename StreamType >
void list_subscribers (StreamType &stream) const
 
void list_subscribers () const
 

Static Public Member Functions

static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)
 

Public Attributes

const unsigned int n_components
 

Static Public Attributes

static const unsigned int dimension = dim
 

Protected Attributes

const std::pair< unsigned int, unsigned intselected_components
 
std::vector< RangeNumberType > function_value_vector
 

Detailed Description

template<int dim, typename RangeNumberType = double>
class ComponentSelectFunction< dim, RangeNumberType >

This is a constant vector-valued function, in which one or more components of the vector have a constant value and all other components are zero. It is especially useful as a weight function for VectorTools::integrate_difference, where it allows to integrate only one or a few vector components, rather than the entire vector-valued solution. In other words, it acts as a component mask with a single component selected (see the the glossary entry on component masks). See the step-20 tutorial program for a detailed explanation and a use case.

Definition at line 537 of file function.h.

Member Typedef Documentation

◆ time_type

template<int dim, typename RangeNumberType = double>
using Function< dim, RangeNumberType >::time_type = typename FunctionTime< typename numbers::NumberTraits<RangeNumberType>::real_type>::time_type
inherited

The scalar-valued real type used for representing time.

Definition at line 170 of file function.h.

Constructor & Destructor Documentation

◆ ComponentSelectFunction() [1/3]

template<int dim, typename RangeNumberType = double>
ComponentSelectFunction< dim, RangeNumberType >::ComponentSelectFunction ( const unsigned int  selected,
const RangeNumberType  value,
const unsigned int  n_components 
)

Constructor if only a single component shall be non-zero. Arguments denote the component selected, the value for that component and the total number of vector components.

◆ ComponentSelectFunction() [2/3]

template<int dim, typename RangeNumberType = double>
ComponentSelectFunction< dim, RangeNumberType >::ComponentSelectFunction ( const unsigned int  selected,
const unsigned int  n_components 
)

Constructor. As before, but the value for the selected component is assumed to be one. In essence, this function then works as a mask.

◆ ComponentSelectFunction() [3/3]

template<int dim, typename RangeNumberType = double>
ComponentSelectFunction< dim, RangeNumberType >::ComponentSelectFunction ( const std::pair< unsigned int, unsigned int > &  selected,
const unsigned int  n_components 
)

Constructor if multiple components shall have non-zero, unit values (i.e. this should be a mask for multiple components). The first argument denotes a half-open interval of components (for example std::pair(0,dim) for the first dim components), and the second argument is the total number of vector components.

Member Function Documentation

◆ substitute_function_value_with()

template<int dim, typename RangeNumberType = double>
virtual void ComponentSelectFunction< dim, RangeNumberType >::substitute_function_value_with ( const Functions::ConstantFunction< dim, RangeNumberType > &  f)
virtual

Substitute function value with value of a ConstantFunction<dim, RangeNumberType> object and keep the current selection pattern.

This is useful if you want to have different values in different components since the provided constructors of ComponentSelectFunction<dim, RangeNumberType> class can only have same value for all components.

Note
We copy the underlying component value data from f from its beginning. So the number of components of f cannot be less than the calling object.

◆ vector_value()

template<int dim, typename RangeNumberType = double>
virtual void ComponentSelectFunction< dim, RangeNumberType >::vector_value ( const Point< dim > &  p,
Vector< RangeNumberType > &  return_value 
) const
overridevirtual

Return the value of the function at the given point for all components.

Reimplemented from Functions::ConstantFunction< dim, RangeNumberType >.

◆ vector_value_list()

template<int dim, typename RangeNumberType = double>
virtual void ComponentSelectFunction< dim, RangeNumberType >::vector_value_list ( const std::vector< Point< dim >> &  points,
std::vector< Vector< RangeNumberType >> &  values 
) const
overridevirtual

Set values to the point values of the function at the points, for all components. It is assumed that values already has the right size, i.e. the same size as the points array.

Reimplemented from Functions::ConstantFunction< dim, RangeNumberType >.

◆ memory_consumption()

template<int dim, typename RangeNumberType = double>
std::size_t ComponentSelectFunction< dim, RangeNumberType >::memory_consumption ( ) const

Return an estimate for the memory consumption, in bytes, of this object. This is not exact (but will usually be close) because calculating the memory usage of trees (e.g., std::map) is difficult.

◆ value()

template<int dim, typename RangeNumberType = double>
virtual RangeNumberType Functions::ConstantFunction< dim, RangeNumberType >::value ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtualinherited

Return the value of the function at the given point. Unless there is only one component (i.e. the function is scalar), you should state the component you want to have evaluated; it defaults to zero, i.e. the first component.

Reimplemented from Function< dim, RangeNumberType >.

◆ value_list()

template<int dim, typename RangeNumberType = double>
virtual void Functions::ConstantFunction< dim, RangeNumberType >::value_list ( const std::vector< Point< dim >> &  points,
std::vector< RangeNumberType > &  values,
const unsigned int  component = 0 
) const
overridevirtualinherited

Set values to the point values of the specified component of the function at the points. It is assumed that values already has the right size, i.e. the same size as the points array.

By default, this function repeatedly calls value() for each point separately, to fill the output array.

Reimplemented from Function< dim, RangeNumberType >.

◆ gradient()

template<int dim, typename RangeNumberType = double>
virtual Tensor<1, dim, RangeNumberType> Functions::ConstantFunction< dim, RangeNumberType >::gradient ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtualinherited

Return the gradient of the specified component of the function at the given point.

Reimplemented from Function< dim, RangeNumberType >.

◆ vector_gradient()

template<int dim, typename RangeNumberType = double>
virtual void Functions::ConstantFunction< dim, RangeNumberType >::vector_gradient ( const Point< dim > &  p,
std::vector< Tensor< 1, dim, RangeNumberType >> &  gradients 
) const
overridevirtualinherited

Return the gradient of all components of the function at the given point.

Reimplemented from Function< dim, RangeNumberType >.

◆ gradient_list()

template<int dim, typename RangeNumberType = double>
virtual void Functions::ConstantFunction< dim, RangeNumberType >::gradient_list ( const std::vector< Point< dim >> &  points,
std::vector< Tensor< 1, dim, RangeNumberType >> &  gradients,
const unsigned int  component = 0 
) const
overridevirtualinherited

Set gradients to the gradients of the specified component of the function at the points. It is assumed that gradients already has the right size, i.e. the same size as the points array.

Reimplemented from Function< dim, RangeNumberType >.

◆ vector_gradient_list()

template<int dim, typename RangeNumberType = double>
virtual void Functions::ConstantFunction< dim, RangeNumberType >::vector_gradient_list ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &  gradients 
) const
overridevirtualinherited

Set gradients to the gradients of the function at the points, for all components. It is assumed that gradients already has the right size, i.e. the same size as the points array.

The outer loop over gradients is over the points in the list, the inner loop over the different components of the function.

Reimplemented from Function< dim, RangeNumberType >.

◆ hessian()

template<int dim, typename RangeNumberType = double>
virtual SymmetricTensor<2, dim, RangeNumberType> Functions::ConstantFunction< dim, RangeNumberType >::hessian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtualinherited

Compute the Hessian of a given component at point p, that is the gradient of the gradient of the function.

Reimplemented from Function< dim, RangeNumberType >.

◆ laplacian()

template<int dim, typename RangeNumberType = double>
virtual RangeNumberType Functions::ConstantFunction< dim, RangeNumberType >::laplacian ( const Point< dim > &  p,
const unsigned int  component = 0 
) const
overridevirtualinherited

Compute the Laplacian of a given component at point p.

Reimplemented from Function< dim, RangeNumberType >.

◆ vector_values()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::vector_values ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< RangeNumberType >> &  values 
) const
virtualinherited

For each component of the function, fill a vector of values, one for each point.

The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.

Reimplemented in Functions::StokesCosine< dim >, Functions::PoisseuilleFlow< dim >, Functions::FlowFunction< dim >, and Functions::FlowFunction< 2 >.

◆ vector_gradients()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::vector_gradients ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &  gradients 
) const
virtualinherited

For each component of the function, fill a vector of gradient values, one for each point.

The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.

◆ vector_laplacian()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::vector_laplacian ( const Point< dim > &  p,
Vector< RangeNumberType > &  values 
) const
virtualinherited

Compute the Laplacian of all components at point p and store them in values.

Reimplemented in Functions::FEFieldFunction< dim, DoFHandlerType, VectorType >.

◆ laplacian_list()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::laplacian_list ( const std::vector< Point< dim >> &  points,
std::vector< RangeNumberType > &  values,
const unsigned int  component = 0 
) const
virtualinherited

◆ vector_laplacian_list()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::vector_laplacian_list ( const std::vector< Point< dim >> &  points,
std::vector< Vector< RangeNumberType >> &  values 
) const
virtualinherited

Compute the Laplacians of all components at a set of points.

Reimplemented in Functions::FEFieldFunction< dim, DoFHandlerType, VectorType >, Functions::FlowFunction< dim >, and Functions::FlowFunction< 2 >.

◆ vector_hessian()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::vector_hessian ( const Point< dim > &  p,
std::vector< SymmetricTensor< 2, dim, RangeNumberType >> &  values 
) const
virtualinherited

Compute the Hessian of all components at point p and store them in values.

◆ hessian_list()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::hessian_list ( const std::vector< Point< dim >> &  points,
std::vector< SymmetricTensor< 2, dim, RangeNumberType >> &  values,
const unsigned int  component = 0 
) const
virtualinherited

Compute the Hessian of one component at a set of points.

◆ vector_hessian_list()

template<int dim, typename RangeNumberType = double>
virtual void Function< dim, RangeNumberType >::vector_hessian_list ( const std::vector< Point< dim >> &  points,
std::vector< std::vector< SymmetricTensor< 2, dim, RangeNumberType >>> &  values 
) const
virtualinherited

Compute the Hessians of all components at a set of points.

◆ get_time()

numbers::NumberTraits< RangeNumberType >::real_type FunctionTime< numbers::NumberTraits< RangeNumberType >::real_type >::get_time ( ) const
inherited

Return the value of the time variable.

◆ set_time()

virtual void FunctionTime< numbers::NumberTraits< RangeNumberType >::real_type >::set_time ( const numbers::NumberTraits< RangeNumberType >::real_type  new_time)
virtualinherited

Set the time to new_time, overwriting the old value.

◆ advance_time()

virtual void FunctionTime< numbers::NumberTraits< RangeNumberType >::real_type >::advance_time ( const numbers::NumberTraits< RangeNumberType >::real_type  delta_t)
virtualinherited

Advance the time by the given time step delta_t.

◆ subscribe()

void Subscriptor::subscribe ( std::atomic< bool > *const  validity,
const std::string &  identifier = "" 
) const
inherited

Subscribes a user of the object by storing the pointer validity. The subscriber may be identified by text supplied as identifier.

Definition at line 136 of file subscriptor.cc.

◆ unsubscribe()

void Subscriptor::unsubscribe ( std::atomic< bool > *const  validity,
const std::string &  identifier = "" 
) const
inherited

Unsubscribes a user from the object.

Note
The identifier and the validity pointer must be the same as the one supplied to subscribe().

Definition at line 156 of file subscriptor.cc.

◆ n_subscriptions()

unsigned int Subscriptor::n_subscriptions ( ) const
inlineinherited

Return the present number of subscriptions to this object. This allows to use this class for reference counted lifetime determination where the last one to unsubscribe also deletes the object.

Definition at line 300 of file subscriptor.h.

◆ list_subscribers() [1/2]

template<typename StreamType >
void Subscriptor::list_subscribers ( StreamType &  stream) const
inlineinherited

List the subscribers to the input stream.

Definition at line 317 of file subscriptor.h.

◆ list_subscribers() [2/2]

void Subscriptor::list_subscribers ( ) const
inherited

List the subscribers to deallog.

Definition at line 204 of file subscriptor.cc.

◆ serialize()

template<class Archive >
void Subscriptor::serialize ( Archive &  ar,
const unsigned int  version 
)
inlineinherited

Read or write the data of this object to or from a stream for the purpose of serialization.

This function does not actually serialize any of the member variables of this class. The reason is that what this class stores is only who subscribes to this object, but who does so at the time of storing the contents of this object does not necessarily have anything to do with who subscribes to the object when it is restored. Consequently, we do not want to overwrite the subscribers at the time of restoring, and then there is no reason to write the subscribers out in the first place.

Definition at line 309 of file subscriptor.h.

Member Data Documentation

◆ selected_components

template<int dim, typename RangeNumberType = double>
const std::pair<unsigned int, unsigned int> ComponentSelectFunction< dim, RangeNumberType >::selected_components
protected

Half-open interval of the indices of selected components.

Definition at line 615 of file function.h.

◆ function_value_vector

template<int dim, typename RangeNumberType = double>
std::vector<RangeNumberType> Functions::ConstantFunction< dim, RangeNumberType >::function_value_vector
protectedinherited

Store the constant function value vector.

Definition at line 493 of file function.h.

◆ dimension

template<int dim, typename RangeNumberType = double>
const unsigned int Function< dim, RangeNumberType >::dimension = dim
staticinherited

Export the value of the template parameter as a static member constant. Sometimes useful for some expression template programming.

Definition at line 159 of file function.h.

◆ n_components

template<int dim, typename RangeNumberType = double>
const unsigned int Function< dim, RangeNumberType >::n_components
inherited

Number of vector components.

Definition at line 164 of file function.h.


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