#include </home/docs/checkouts/readthedocs.org/user_builds/axom/checkouts/main/src/axom/quest/FastApproximateGWN.hpp>

Public Member Functions
	GWNMomentData ()=default

	GWNMomentData (const axom::primal::Triangle< T, 3 > &a_tri)
	Construct moments from a 3D triangle. More...

	GWNMomentData (const axom::primal::Segment< T, 2 > &s)
	Construct moments from a 2D Segment. More...

	GWNMomentData (const axom::primal::Point< T, 2 > &p0, const axom::primal::Point< T, 2 > &p1)
	Construct moments from the endpoints of a 2D segment. More...

double	approx_winding_number (axom::primal::Point< T, NDIMS > query) const

axom::primal::Point< T, NDIMS >	getCenter () const
	Return the center of the Taylor expansion. More...

Public Attributes
axom::primal::Vector< T, NDIMS >	ap

double	a {}

axom::StackArray< T, NumberOfEntries >	rm {}

axom::StackArray< T, NumberOfEntries >	ec {}

Friends
GWNMomentData	operator+ (GWNMomentData &b1, GWNMomentData &b2)

Constructor & Destructor Documentation

◆ GWNMomentData() [1/4]

template<typename T , int NDIMS, int ORD>

axom::quest::GWNMomentData< T, NDIMS, ORD >::GWNMomentData ( )

default

◆ GWNMomentData() [2/4]

template<typename T , int NDIMS, int ORD>

axom::quest::GWNMomentData< T, NDIMS, ORD >::GWNMomentData ( const axom::primal::Triangle< T, 3 > & a_tri )

inlineexplicit

Construct moments from a 3D triangle.

References axom::quest::GWNMomentData< T, NDIMS, ORD >::a, axom::quest::GWNMomentData< T, NDIMS, ORD >::ap, axom::primal::Triangle< T, NDIMS >::area(), axom::primal::Triangle< T, NDIMS >::centroid(), axom::primal::centroid(), axom::primal::Triangle< T, NDIMS >::normal(), and axom::quest::GWNMomentData< T, NDIMS, ORD >::rm.

◆ GWNMomentData() [3/4]

template<typename T , int NDIMS, int ORD>

axom::quest::GWNMomentData< T, NDIMS, ORD >::GWNMomentData ( const axom::primal::Segment< T, 2 > & s )

inlineexplicit

Construct moments from a 2D Segment.

◆ GWNMomentData() [4/4]

template<typename T , int NDIMS, int ORD>

axom::quest::GWNMomentData< T, NDIMS, ORD >::GWNMomentData	(	const axom::primal::Point< T, 2 > &	p0,
		const axom::primal::Point< T, 2 > &	p1
	)

inlineexplicit

Construct moments from the endpoints of a 2D segment.

References axom::quest::GWNMomentData< T, NDIMS, ORD >::a, axom::quest::GWNMomentData< T, NDIMS, ORD >::ap, and axom::quest::GWNMomentData< T, NDIMS, ORD >::rm.

Member Function Documentation

◆ approx_winding_number()

template<typename T , int NDIMS, int ORD>

double axom::quest::GWNMomentData< T, NDIMS, ORD >::approx_winding_number ( axom::primal::Point< T, NDIMS > query ) const

inline

Computes the approximated GWN field at the given query. Formulae are taken from "Fast Winding Numbers for Soups and Clouds" by Barill et al. (2018)

References axom::quest::GWNMomentData< T, NDIMS, ORD >::a, axom::abs(), axom::primal::Vector< T, NDIMS >::dot(), axom::quest::GWNMomentData< T, NDIMS, ORD >::ec, axom::quest::GWNMomentData< T, NDIMS, ORD >::getCenter(), axom::utilities::isNearlyEqual(), and axom::primal::Vector< T, NDIMS >::norm().

◆ getCenter()

template<typename T , int NDIMS, int ORD>

axom::primal::Point<T, NDIMS> axom::quest::GWNMomentData< T, NDIMS, ORD >::getCenter ( ) const

inline

Return the center of the Taylor expansion.

References axom::quest::GWNMomentData< T, NDIMS, ORD >::a, and axom::quest::GWNMomentData< T, NDIMS, ORD >::ap.

Friends And Related Function Documentation

◆ operator+

template<typename T , int NDIMS, int ORD>

GWNMomentData operator+	(	GWNMomentData< T, NDIMS, ORD > &	b1,
		GWNMomentData< T, NDIMS, ORD > &	b2
	)

friend

Addition overload to find the sum of two sets of raw moments. TODO: Technically, the raw moments for b1 and b2 can be deallocated after this function is called, which would decrease the memory footprint