NumLib::IntegrationGaussLegendreRegular< N_DIM > Class Template Reference

Detailed Description

template<unsigned N_DIM>
class NumLib::IntegrationGaussLegendreRegular< N_DIM >

Gauss-Legendre quadrature rule for regular shape elements: line, quad and hex.

Template Parameters

N_DIM

Spatial dimension

Definition at line 29 of file IntegrationGaussLegendreRegular.h.

#include <IntegrationGaussLegendreRegular.h>

Public Member Functions
	IntegrationGaussLegendreRegular (unsigned order=2)
void	setIntegrationOrder (unsigned order)
	Change the integration order.
unsigned	getIntegrationOrder () const
	return current integration order.
unsigned	getNumberOfPoints () const
	return the number of sampling points
MathLib::WeightedPoint	getWeightedPoint (unsigned const igp) const
std::array< unsigned, 1 >	getPositionIndices (unsigned, unsigned igp)
std::array< unsigned, 2 >	getPositionIndices (unsigned order, unsigned igp)
std::array< unsigned, 3 >	getPositionIndices (unsigned order, unsigned igp)

Static Public Member Functions
static std::array< unsigned, N_DIM >	getPositionIndices (unsigned order, unsigned igp)
static MathLib::WeightedPoint	getWeightedPoint (unsigned const order, unsigned const igp)

Static Private Member Functions
template<typename Method >
static MathLib::WeightedPoint	getWeightedPoint (std::array< unsigned, N_DIM > const &pos)

Private Attributes
unsigned	_order
unsigned	_n_sampl_pt {0}

Constructor & Destructor Documentation

IntegrationGaussLegendreRegular()

template<unsigned N_DIM>

NumLib::IntegrationGaussLegendreRegular< N_DIM >::IntegrationGaussLegendreRegular ( unsigned order = 2 )

inlineexplicit

Create IntegrationGaussLegendreRegular of the given Gauss-Legendre integration order.

Parameters

order

integration order (default 2)

Definition at line 36 of file IntegrationGaussLegendreRegular.h.

                                                                 : _order(order)
    {
        this->setIntegrationOrder(order);
    }

References NumLib::IntegrationGaussLegendreRegular< N_DIM >::setIntegrationOrder().

Member Function Documentation

getIntegrationOrder()

template<unsigned N_DIM>

unsigned NumLib::IntegrationGaussLegendreRegular< N_DIM >::getIntegrationOrder ( ) const

inline

return current integration order.

Definition at line 49 of file IntegrationGaussLegendreRegular.h.

{ return _order; }

References NumLib::IntegrationGaussLegendreRegular< N_DIM >::_order.

Referenced by NumLib::IntegrationGaussLegendreRegular< N_DIM >::getWeightedPoint().

getNumberOfPoints()

template<unsigned N_DIM>

unsigned NumLib::IntegrationGaussLegendreRegular< N_DIM >::getNumberOfPoints ( ) const

inline

return the number of sampling points

Definition at line 52 of file IntegrationGaussLegendreRegular.h.

{ return _n_sampl_pt; }

References NumLib::IntegrationGaussLegendreRegular< N_DIM >::_n_sampl_pt.

getPositionIndices() [1/4]

std::array< unsigned, 2 > NumLib::IntegrationGaussLegendreRegular< 2 >::getPositionIndices ( unsigned order, unsigned igp )

inline

Definition at line 29 of file IntegrationGaussLegendreRegular-impl.h.

{
    assert(igp < order * order);
    std::array<unsigned, 2> result;
    result[0] = igp / order;
    result[1] = igp % order;
    return result;
}

getPositionIndices() [2/4]

std::array< unsigned, 3 > NumLib::IntegrationGaussLegendreRegular< 3 >::getPositionIndices ( unsigned order, unsigned igp )

inline

Definition at line 41 of file IntegrationGaussLegendreRegular-impl.h.

{
    assert(igp < order * order * order);
    unsigned const gp_r = igp / (order * order);
    unsigned const gp_s = igp % (order * order);
    std::array<unsigned, 3> result;
    result[0] = gp_r;
    result[1] = gp_s / order;
    result[2] = gp_s % order;
    return result;
}

getPositionIndices() [3/4]

template<unsigned N_DIM>

static std::array< unsigned, N_DIM > NumLib::IntegrationGaussLegendreRegular< N_DIM >::getPositionIndices ( unsigned order, unsigned igp )

static

Get position indexes in r-s-t axis.

Parameters

order	The number of integration points
igp	The integration point index

Returns

a tuple of position indexes

getPositionIndices() [4/4]

std::array< unsigned, 1 > NumLib::IntegrationGaussLegendreRegular< 1 >::getPositionIndices ( unsigned , unsigned igp )

inline

Definition at line 19 of file IntegrationGaussLegendreRegular-impl.h.

{
    std::array<unsigned, 1> result;
    result[0] = igp;
    return result;
}

getWeightedPoint() [1/3]

template<unsigned N_DIM>

template<typename Method >

MathLib::WeightedPoint NumLib::IntegrationGaussLegendreRegular< N_DIM >::getWeightedPoint ( std::array< unsigned, N_DIM > const & pos )

inlinestaticprivate

Computes weighted point using given integration method.

Template Parameters

Method

Integration method to use.

Parameters

pos	Point indices computed by getPositionIndices.

Definition at line 79 of file IntegrationGaussLegendreRegular-impl.h.

{
    std::array<double, N_DIM> coords;
    double weight = 1;
    for (unsigned d = 0; d < N_DIM; d++)
    {
        coords[d] = Method::X[pos[d]];
        weight *= Method::W[pos[d]];
    }
 
    return MathLib::WeightedPoint(coords, weight);
}

getWeightedPoint() [2/3]

template<unsigned N_DIM>

MathLib::WeightedPoint NumLib::IntegrationGaussLegendreRegular< N_DIM >::getWeightedPoint ( unsigned const igp ) const

inline

Get coordinates of the integration point.

Parameters

igp	The integration point index

Returns

a weighted point

Definition at line 58 of file IntegrationGaussLegendreRegular.h.

    {
        return getWeightedPoint(getIntegrationOrder(), igp);
    }

References NumLib::IntegrationGaussLegendreRegular< N_DIM >::getIntegrationOrder(), and NumLib::IntegrationGaussLegendreRegular< N_DIM >::getWeightedPoint().

Referenced by NumLib::IntegrationGaussLegendreRegular< N_DIM >::getWeightedPoint().

getWeightedPoint() [3/3]

template<unsigned N_DIM>

MathLib::WeightedPoint NumLib::IntegrationGaussLegendreRegular< N_DIM >::getWeightedPoint ( unsigned const order, unsigned const igp )

inlinestatic

Get coordinates of the integration point.

Parameters

order	The number of integration points
igp	The integration point index

Returns

a weighted point

Definition at line 56 of file IntegrationGaussLegendreRegular-impl.h.

{
    assert(igp < std::pow(order, N_DIM));
    std::array<unsigned, N_DIM> const pos = getPositionIndices(order, igp);
 
    switch (order)
    {
        case 1:
            return getWeightedPoint<MathLib::GaussLegendre<1>>(pos);
        case 2:
            return getWeightedPoint<MathLib::GaussLegendre<2>>(pos);
        case 3:
            return getWeightedPoint<MathLib::GaussLegendre<3>>(pos);
        case 4:
            return getWeightedPoint<MathLib::GaussLegendre<4>>(pos);
    }
    OGS_FATAL("Integration order {:d} not implemented.", order);
}

References OGS_FATAL.

setIntegrationOrder()

template<unsigned N_DIM>

void NumLib::IntegrationGaussLegendreRegular< N_DIM >::setIntegrationOrder ( unsigned order )

inline

Change the integration order.

Definition at line 42 of file IntegrationGaussLegendreRegular.h.

    {
        this->_n_sampl_pt = static_cast<unsigned>(std::pow(order, N_DIM));
        this->_order = order;
    }

References NumLib::IntegrationGaussLegendreRegular< N_DIM >::_n_sampl_pt, and NumLib::IntegrationGaussLegendreRegular< N_DIM >::_order.

Referenced by NumLib::IntegrationGaussLegendreRegular< N_DIM >::IntegrationGaussLegendreRegular().

Member Data Documentation

_n_sampl_pt

template<unsigned N_DIM>

unsigned NumLib::IntegrationGaussLegendreRegular< N_DIM >::_n_sampl_pt {0}

private

Definition at line 90 of file IntegrationGaussLegendreRegular.h.

{0};

Referenced by NumLib::IntegrationGaussLegendreRegular< N_DIM >::getNumberOfPoints(), and NumLib::IntegrationGaussLegendreRegular< N_DIM >::setIntegrationOrder().

_order

template<unsigned N_DIM>

unsigned NumLib::IntegrationGaussLegendreRegular< N_DIM >::_order

private

Definition at line 89 of file IntegrationGaussLegendreRegular.h.

Referenced by NumLib::IntegrationGaussLegendreRegular< N_DIM >::getIntegrationOrder(), and NumLib::IntegrationGaussLegendreRegular< N_DIM >::setIntegrationOrder().

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

• NumLib/Fem/Integration/IntegrationGaussLegendreRegular.h
• NumLib/Fem/Integration/IntegrationGaussLegendreRegular-impl.h