Rodin::Geometry::PolytopeQuadrature class
#include <Rodin/Geometry/PolytopeQuadrature.h>

Cached quadrature attached to one specific polytope.

A PolytopeQuadrature stores the mapped quadrature points corresponding to a single quadrature formula on a single concrete polytope. It is:

  • not a reference quadrature formula,
  • not a variational quadrature rule,
  • not a container of weights.

Its purpose is to cache the geometric realization of a quadrature formula on a polytope so that repeated integration passes can reuse mapped Rodin::Geometry::Point objects.

Constructors, destructors, conversion operators

PolytopeQuadrature(const Polytope& polytope, const QF::QuadratureFormulaBase& qf)
Constructs the realized quadrature on a polytope.

Public functions

auto getQuadratureFormula() const -> const QF::QuadratureFormulaBase&
Gets the reference quadrature formula used to build this object.
auto getSize() const -> size_t
Gets the number of mapped quadrature points.
auto getPoint(size_t i) const -> const Point&
Gets a mapped quadrature point by index.

Function documentation

Rodin::Geometry::PolytopeQuadrature::PolytopeQuadrature(const Polytope& polytope, const QF::QuadratureFormulaBase& qf)

Constructs the realized quadrature on a polytope.

Parameters
polytope in Concrete mesh polytope
qf in Reference quadrature formula

const QF::QuadratureFormulaBase& Rodin::Geometry::PolytopeQuadrature::getQuadratureFormula() const

Gets the reference quadrature formula used to build this object.

Returns Reference to the quadrature formula

size_t Rodin::Geometry::PolytopeQuadrature::getSize() const

Gets the number of mapped quadrature points.

Returns Number of quadrature points

const Point& Rodin::Geometry::PolytopeQuadrature::getPoint(size_t i) const

Gets a mapped quadrature point by index.

Parameters
i in Quadrature point index
Returns Reference to the mapped point