Reference documentation for deal.II version 9.3.3
QSplit< dim > Class Template Reference

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

Inheritance diagram for QSplit< dim >:
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## Public Types

using SubQuadrature = Quadrature< dim - 1 >

## Public Member Functions

QSplit (const QSimplex< dim > &base, const Point< dim > &split_point)

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

## Protected Attributes

std::vector< Point< dim > > quadrature_points

std::vector< double > weights

bool is_tensor_product_flag

std::unique_ptr< std::array< Quadrature< 1 >, dim > > tensor_basis

## 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

using map_value_type = decltype(counter_map)::value_type

using map_iterator = decltype(counter_map)::iterator

std::atomic< unsigned intcounter

std::map< std::string, unsigned intcounter_map

std::vector< std::atomic< bool > * > validity_pointers

const std::type_info * object_info

static std::mutex mutex

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

static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)

void check_no_subscribers () const noexcept

## Detailed Description

template<int dim>
class QSplit< dim >

A quadrature to use when the cell should be split into subregions to integrate using one or more base quadratures.

Definition at line 755 of file quadrature_lib.h.

## ◆ SubQuadrature

template<int dim>
 using Quadrature< dim >::SubQuadrature = Quadrature
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.

## ◆ QSplit()

template<int dim>
 QSplit< dim >::QSplit ( const QSimplex< dim > & base, const Point< dim > & split_point )

Construct a quadrature formula by splitting the reference hyper cube into the minimum number of simplices that have vertex zero coinciding with split_point, and patch together affine transformations of the base quadrature. The point split_point should be in the reference element, and an exception is thrown if this is not the case.

In two dimensions, the resulting quadrature formula will be composed of two, three, or four triangular quadrature formulas if split_point coincides with one of the vertices, if it lies on one of the edges, or if it is internal to the reference element respectively.

The same is true for the three dimensional case, with six, eight, ten, or twelve tetrahedral quadrature formulas if split_point coincides with one of the vertices, if it lies on one of the edges, on one of the faces, or if it is internal to the reference element respectively.

The resulting quadrature can be used, for example, to integrate functions with integrable singularities at the split point, provided that you select as base quadrature one that can integrate singular points on vertex zero of the reference simplex.

An example usage in dimension two is given by:

const unsigned int order = 5;
QSplit<2> quad(QTrianglePolar(order), Point<2>(.3,.4));

The resulting quadrature will look like the following:

Parameters
 base Base QSimplex quadrature to use split_point Where to split the hyper cube

Definition at line 1323 of file quadrature_lib.cc.

## ◆ 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
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 using the BOOST serialization library.

## ◆ 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 >, conststd::array< Quadrature< 1 >, dim > & >::type Quadrature< dim >::get_tensor_basis
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.

## ◆ quadrature_points

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

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

Definition at line 283 of file quadrature.h.

## ◆ weights

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

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

Definition at line 289 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 298 of file quadrature.h.

## ◆ tensor_basis

template<int dim>
 std::unique_ptr, 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 304 of file quadrature.h.

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