Reference documentation for deal.II version 9.3.0
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Public Types | Public Member Functions | Static Public Member Functions | Public Attributes | Static Public Attributes | Private Attributes | List of all members
VectorFunctionFromTensorFunction< dim, RangeNumberType > Class Template Reference

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

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

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

Public Member Functions

 VectorFunctionFromTensorFunction (const TensorFunction< 1, dim, RangeNumberType > &tensor_function, const unsigned int selected_component=0, const unsigned int n_components=dim)
 
virtual ~VectorFunctionFromTensorFunction () override=default
 
virtual RangeNumberType value (const Point< dim > &p, const unsigned int component=0) const override
 
virtual void vector_value (const Point< dim > &p, Vector< RangeNumberType > &values) const override
 
virtual void vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< RangeNumberType >> &value_list) const override
 
virtual void value_list (const std::vector< Point< dim >> &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const
 
virtual void vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< RangeNumberType >> &values) const
 
virtual Tensor< 1, dim, RangeNumberType > gradient (const Point< dim > &p, const unsigned int component=0) const
 
virtual void vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, RangeNumberType >> &gradients) const
 
virtual void gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim, RangeNumberType >> &gradients, const unsigned int component=0) const
 
virtual void vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &gradients) const
 
virtual void vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType >>> &gradients) const
 
virtual RangeNumberType laplacian (const Point< dim > &p, const unsigned int component=0) 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 SymmetricTensor< 2, dim, RangeNumberType > hessian (const Point< dim > &p, const unsigned int component=0) 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
 
virtual std::size_t memory_consumption () 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
 

Private Attributes

const TensorFunction< 1, dim, RangeNumberType > & tensor_function
 
const unsigned int selected_component
 

Detailed Description

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

This class is built as a means of translating the Tensor<1,dim, RangeNumberType> values produced by objects of type TensorFunction and returning them as a multiple component version of the same thing as a Vector for use in, for example, the VectorTools::interpolate or the many other functions taking Function objects. It allows the user to place the desired components into an n_components long vector starting at the selected_component location in that vector and have all other components be 0.

For example: Say you created a class called

class RightHandSide : public TensorFunction<rank,dim, RangeNumberType>

which extends the TensorFunction class and you have an object

RightHandSide<1,dim, RangeNumberType> rhs;

of that class which you want to interpolate onto your mesh using the VectorTools::interpolate function, but the finite element you use for the DoFHandler object has 3 copies of a finite element with dim components, for a total of 3*dim components. To interpolate onto that DoFHandler, you need an object of type Function that has 3*dim vector components. Creating such an object from the existing rhs object is done using this piece of code:

RightHandSide<1,dim, RangeNumberType> rhs;
rhs, 0, 3*dim);

where the dim components of the tensor function are placed into the first dim components of the function object.

Definition at line 1058 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

◆ VectorFunctionFromTensorFunction()

template<int dim, typename RangeNumberType = double>
VectorFunctionFromTensorFunction< dim, RangeNumberType >::VectorFunctionFromTensorFunction ( const TensorFunction< 1, dim, RangeNumberType > &  tensor_function,
const unsigned int  selected_component = 0,
const unsigned int  n_components = dim 
)
explicit

Given a TensorFunction object that takes a Point and returns a Tensor<1,dim, RangeNumberType> value, convert this into an object that matches the Function<dim> interface.

By default, create a Vector object of the same size as tensor_function returns, i.e., with dim components.

Parameters
tensor_functionThe TensorFunction that will form one component of the resulting Vector Function object.
n_componentsThe total number of vector components of the resulting TensorFunction object.
selected_componentThe first component that should be filled by the first argument. This should be such that the entire tensor_function fits inside the n_component length return vector.

◆ ~VectorFunctionFromTensorFunction()

template<int dim, typename RangeNumberType = double>
virtual VectorFunctionFromTensorFunction< dim, RangeNumberType >::~VectorFunctionFromTensorFunction ( )
overridevirtualdefault

This destructor is defined as virtual so as to coincide with all other aspects of class.

Member Function Documentation

◆ value()

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

Return a single component of a vector-valued function at a given point.

Reimplemented from Function< dim, RangeNumberType >.

◆ vector_value()

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

Return all components of a vector-valued function at a given point.

values shall have the right size beforehand, i.e. n_components.

Reimplemented from Function< dim, RangeNumberType >.

◆ vector_value_list()

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

Return all components of a vector-valued function at a list of points.

value_list shall be the same size as points and each element of the vector will be passed to vector_value() to evaluate the function

Reimplemented from Function< dim, RangeNumberType >.

◆ value_list()

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

◆ 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 >.

◆ gradient()

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

◆ vector_gradient()

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

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

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

◆ gradient_list()

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

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 in Functions::ConstantFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, DoFHandlerType, VectorType >.

◆ 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_gradient_list()

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

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 in Functions::ConstantFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, DoFHandlerType, VectorType >.

◆ laplacian()

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

◆ 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 >.

◆ hessian()

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

◆ 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.

◆ memory_consumption()

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

◆ 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 301 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 318 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 using the BOOST serialization library.

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 310 of file subscriptor.h.

Member Data Documentation

◆ tensor_function

template<int dim, typename RangeNumberType = double>
const TensorFunction<1, dim, RangeNumberType>& VectorFunctionFromTensorFunction< dim, RangeNumberType >::tensor_function
private

The TensorFunction object which we call when this class's vector_value() or vector_value_list() functions are called.

Definition at line 1120 of file function.h.

◆ selected_component

template<int dim, typename RangeNumberType = double>
const unsigned int VectorFunctionFromTensorFunction< dim, RangeNumberType >::selected_component
private

The first vector component whose value is to be filled by the given TensorFunction. The values will be placed in components selected_component to selected_component+dim-1 for a TensorFunction<1,dim, RangeNumberType> object.

Definition at line 1128 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: