QuadratureBase

class QuadratureBase

Subclassed by QDummy, QGaussChebyshev1D, QGaussLegendre1D, QGaussLegendreTensorized, QLookupQuadrature, QMidpoint1D, QMidpointTensorized, QMidpointTensorized2D, QMonteCarlo, QProduct, QRectangular, QRectangular1D, QRectangular2D

Public Functions

QuadratureBase(Config *settings)

Constructor using settings class. This is the recommended constructor.

Parameters

• settings: Settings class storing all important options.

QuadratureBase(unsigned order)

Constructor using directly the order of the quadrature. Not applicable for GaussLegendre, that need additional options. It sets member _settings = nulltpr.

void PrintWeights()

prints: Weight vector

void PrintPoints()

prints: Point vectorVector

void PrintPointsAndWeights()

prints: Point vectorVector with corresponding weight vector

double SumUpWeights()

sums up all entries of the weight vector.

Return

sum of all weights

double Integrate(double (*f)(double, double, double))

Integrates f(x,y,z) with the quadrature.

Return

result of the quadrature rule

Parameters

• f: density function that depends on a three spatial dimensions.

double IntegrateSpherical(double (*f)(double, double))

Integrates f(x,y,z) with the quadrature.

Return

result of the quadrature rule

Parameters

• f: density function that depends on a spherical coordinates.

std::vector<double> Integrate(std::vector<double> (*f)(double, double, double), unsigned len, )

Integrates vector valued f(x,y,z) with the quadrature. Each dimension is integrated by itself.

Return

result of the quadrature rule (vector valued)

Parameters

• f: density function that depends on a three spatial dimensions.

• len: lenght of vector

unsigned GetOrder() const

Return

std::string _name: name of the quadrature

unsigned GetNq() const

Return

unsigned _order: order of the quadrature

VectorVector GetPoints() const

Return

unsigned _nq: number of gridpoints of the quadrature

VectorVector GetPointsSphere() const

Return

VectorVector _points: coordinates of gridpoints of the quadrature

Vector GetWeights() const

Return

VectorVector _pointsSphere: “—- ” in spherical coordinates (my, phi)

VectorVectorU GetConnectivity() const

Returns approved Dimensions for this quadrature.

Return

Vector _weights: weights of gridpoints of the quadrature

Return

VectorVectorU _connectivity: connectivity of gridpoints of the quadrature

std::vector<unsigned short> GetSupportedDims() const

Scales the quadrature weights according to the intervall [-velocityScaling , velocityScaling] in 1D Scales the radius of the velocity sphere by velocityScaling in 2D and 3D.

Public Static Functions

QuadratureBase *Create(Config *settings)

Creates a quadrature rule with a given name and a given order.

Return

Quadrature* quadrature: returns pointer to instance of the given derived quadrature class

Parameters

• settings: Settings to handle quadrature options

QuadratureBase *Create(QUAD_NAME name, unsigned quadOrder)

Creates a quadrature rule with a given name and a given order.

Return

pointer to instance of the given derived quadrature class

Parameters

• name: name of quadrature as enum

• quadOrder: order of quadrature

Protected Functions

void SetName() = 0

sets: order of the quadrature

Sets: name of the quadrature

void SetNq() = 0

sets: number of gridpoints of the quadrature

void SetConnectivity() = 0

sets: Connectivity Adjacency Matrix as VektorVektor

void SetPointsAndWeights() = 0

Computes the a vector (length: nq) of (coordinates of) gridpoints used for the quadrature rule. Computes the a vector (length: nq) of weights for the gridpoints. The indices match the gridpoints VectorVector. Sets computed values for _points and _weights.

Protected Attributes

Config *_settings

pointer to settings class that manages the solver

std::string _name

name of the quadrature

unsigned _order

order of the quadrature

unsigned _nq

number of gridpoints of the quadrature

VectorVector _pointsKarth

gridpoints of the quadrature

VectorVector _pointsSphere

(my,phi,r)gridpoints of the quadrature in spherical cordinates

Vector _weights

weights of the gridpoints of the quadrature

VectorVectorU _connectivity

connectivity of the gripoints of the quadrature

std::vector<unsigned short> _supportedDimensions

number of spatial dimensions, for which the quadrature is build