Reference documentation for deal.II version Git 11de1224af 2020-11-24 16:17:24 -0500
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Public Types | Public Member Functions | Static Public Member Functions | Protected Attributes | List of all members
QIterated< dim > Class Template Reference

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

Inheritance diagram for QIterated< dim >:
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Public Types

using SubQuadrature = Quadrature< dim - 1 >
 

Public Member Functions

 QIterated (const Quadrature< 1 > &base_quadrature, const unsigned int n_copies)
 
template<>
 QIterated (const Quadrature< 1 > &, const unsigned int)
 
template<>
 QIterated (const Quadrature< 1 > &base_quadrature, const unsigned int n_copies)
 
bool operator== (const Quadrature< dim > &p) const
 
void initialize (const std::vector< Point< dim >> &points, const std::vector< double > &weights)
 
unsigned int size () const
 
const Point< dim > & point (const unsigned int i) const
 
const std::vector< Point< dim > > & get_points () const
 
double weight (const unsigned int i) const
 
const std::vector< double > & get_weights () const
 
std::size_t memory_consumption () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
bool is_tensor_product () const
 
const std::array< Quadrature< 1 >, dim > & get_tensor_basis () const
 
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 ::ExceptionBaseExcInvalidQuadratureFormula ()
 
static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)
 
static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)
 

Protected Attributes

std::vector< Point< dim > > quadrature_points
 
std::vector< doubleweights
 
bool is_tensor_product_flag
 
std::unique_ptr< std::array< Quadrature< 1 >, dim > > tensor_basis
 

Detailed Description

template<int dim>
class QIterated< dim >

Quadrature formula constructed by iteration of another quadrature formula in each direction. In more than one space dimension, the resulting quadrature formula is constructed in the usual way by building the tensor product of the respective iterated quadrature formula in one space dimension.

In one space dimension, the given base formula is copied and scaled onto a given number of subintervals of length 1/n_copies. If the quadrature formula uses both end points of the unit interval, then in the interior of the iterated quadrature formula there would be quadrature points which are used twice; we merge them into one with a weight which is the sum of the weights of the left- and the rightmost quadrature point.

Since all dimensions higher than one are built up by tensor products of one dimensional and dim-1 dimensional quadrature formulae, the argument given to the constructor needs to be a quadrature formula in one space dimension, rather than in dim dimensions.

The aim of this class is to provide a low order formula, where the error constant can be tuned by increasing the number of quadrature points. This is useful in integrating non-differentiable functions on cells.

Definition at line 363 of file quadrature.h.

Member Typedef Documentation

◆ SubQuadrature

template<int dim>
using Quadrature< dim >::SubQuadrature = Quadrature<dim - 1>
inherited

Define an alias for a quadrature that acts on an object of one dimension less. For cells, this would then be a face quadrature.

Definition at line 90 of file quadrature.h.

Constructor & Destructor Documentation

◆ QIterated() [1/3]

template<int dim>
QIterated< dim >::QIterated ( const Quadrature< 1 > &  base_quadrature,
const unsigned int  n_copies 
)

Constructor. Iterate the given quadrature formula n_copies times in each direction.

Definition at line 561 of file quadrature.cc.

◆ QIterated() [2/3]

template<>
QIterated< 0 >::QIterated ( const Quadrature< 1 > &  ,
const unsigned  int 
)

Definition at line 460 of file quadrature.cc.

◆ QIterated() [3/3]

template<>
QIterated< 1 >::QIterated ( const Quadrature< 1 > &  base_quadrature,
const unsigned int  n_copies 
)

Definition at line 469 of file quadrature.cc.

Member Function Documentation

◆ operator==()

template<int dim>
bool Quadrature< dim >::operator== ( const Quadrature< dim > &  p) const
inherited

Test for equality of two quadratures.

Definition at line 302 of file quadrature.cc.

◆ initialize()

template<int dim>
void Quadrature< dim >::initialize ( const std::vector< Point< dim >> &  points,
const std::vector< double > &  weights 
)
inherited

Set the quadrature points and weights to the values provided in the arguments.

Definition at line 50 of file quadrature.cc.

◆ size()

template<int dim>
unsigned int Quadrature< dim >::size ( ) const
inherited

Number of quadrature points.

◆ point()

template<int dim>
const Point<dim>& Quadrature< dim >::point ( const unsigned int  i) const
inherited

Return the ith quadrature point.

◆ get_points()

template<int dim>
const std::vector<Point<dim> >& Quadrature< dim >::get_points ( ) const
inherited

Return a reference to the whole array of quadrature points.

◆ weight()

template<int dim>
double Quadrature< dim >::weight ( const unsigned int  i) const
inherited

Return the weight of the ith quadrature point.

◆ get_weights()

template<int dim>
const std::vector<double>& Quadrature< dim >::get_weights ( ) const
inherited

Return a reference to the whole array of weights.

◆ memory_consumption()

template<int dim>
std::size_t Quadrature< dim >::memory_consumption ( ) const
inherited

Determine an estimate for the memory consumption (in bytes) of this object.

Definition at line 311 of file quadrature.cc.

◆ serialize()

template<int dim>
template<class Archive >
void Quadrature< dim >::serialize ( Archive &  ar,
const unsigned int  version 
)
inherited

Write or read the data of this object to or from a stream for the purpose of serialization.

◆ is_tensor_product()

template<int dim>
bool Quadrature< dim >::is_tensor_product ( ) const
inherited

This function returns true if the quadrature object is a tensor product of one-dimensional formulas and the quadrature points are sorted lexicographically.

◆ get_tensor_basis()

template<int dim>
std::conditional< dim==1, std::array< Quadrature< 1 >, dim >, const std::array< Quadrature< 1 >, dim > & >::type Quadrature< dim >::get_tensor_basis ( ) const
inherited

In case the quadrature formula is a tensor product, this function returns the dim one-dimensional basis objects. Otherwise, calling this function is not allowed.

For dim equal to one, we can not return the std::array as a const reference and have to return it by value. In this case, the array will always contain a single element (this).

Note
The actual return type of this function is
std::conditional<dim == 1,
std::array<Quadrature<1>, dim>,
const std::array<Quadrature<1>, dim> &>::type
The type is abbreviated in the online documentation to improve readability of this page.

Definition at line 323 of file quadrature.cc.

◆ 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.

Member Data Documentation

◆ quadrature_points

template<int dim>
std::vector<Point<dim> > Quadrature< dim >::quadrature_points
protectedinherited

List of quadrature points. To be filled by the constructors of derived classes.

Definition at line 282 of file quadrature.h.

◆ weights

template<int dim>
std::vector<double> Quadrature< dim >::weights
protectedinherited

List of weights of the quadrature points. To be filled by the constructors of derived classes.

Definition at line 288 of file quadrature.h.

◆ is_tensor_product_flag

template<int dim>
bool Quadrature< dim >::is_tensor_product_flag
protectedinherited

Indicates if this object represents quadrature formula that is a tensor product of one-dimensional formulas. This flag is set if dim==1 or the constructors taking a Quadrature<1> (and possibly a Quadrature<dim-1> object) is called. This implies that the quadrature points are sorted lexicographically.

Definition at line 297 of file quadrature.h.

◆ tensor_basis

template<int dim>
std::unique_ptr<std::array<Quadrature<1>, dim> > Quadrature< dim >::tensor_basis
protectedinherited

Stores the one-dimensional tensor basis objects in case this object can be represented by a tensor product.

Definition at line 303 of file quadrature.h.


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