axom::quest::GWNMomentData< T, NDIMS, ORD > Class Template Reference

#include </home/docs/checkouts/readthedocs.org/user_builds/axom/checkouts/develop/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::NURBSPatch< T, 3 > &a_patch)
	Construct moments from a trimmed NURBS surface. More...
	GWNMomentData (const axom::primal::NURBSCurve< T, 2 > &c)
	Construct moments from the endpoints of a 2D segment. 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...
axom::primal::Vector< T, 3 >	getNormal () const
	Return the normal if computed from 3D data. More...
double	getSurfaceArea () const
	Return the surface area if computed from 3D data. 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() [1/6]

template<typename T , int NDIMS, int ORD>

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

default

GWNMomentData() [2/6]

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() [3/6]

template<typename T , int NDIMS, int ORD>

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

inlineexplicit

Construct moments from a trimmed NURBS surface.

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

GWNMomentData() [4/6]

template<typename T , int NDIMS, int ORD>

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

inlineexplicit

Construct moments from the endpoints of a 2D segment.

GWNMomentData() [5/6]

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() [6/6]

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.

getNormal()

template<typename T , int NDIMS, int ORD>

axom::primal::Vector<T, 3> axom::quest::GWNMomentData< T, NDIMS, ORD >::getNormal ( ) const

inline

Return the normal if computed from 3D data.

References axom::quest::GWNMomentData< T, NDIMS, ORD >::ec.

getSurfaceArea()

template<typename T , int NDIMS, int ORD>

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

inline

Return the surface area if computed from 3D data.

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

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

Member Data Documentation

ap

template<typename T , int NDIMS, int ORD>

axom::primal::Vector<T, NDIMS> axom::quest::GWNMomentData< T, NDIMS, ORD >::ap

a

template<typename T , int NDIMS, int ORD>

double axom::quest::GWNMomentData< T, NDIMS, ORD >::a {}

rm

template<typename T , int NDIMS, int ORD>

axom::StackArray<T, NumberOfEntries> axom::quest::GWNMomentData< T, NDIMS, ORD >::rm {}

ec

template<typename T , int NDIMS, int ORD>

axom::StackArray<T, NumberOfEntries> axom::quest::GWNMomentData< T, NDIMS, ORD >::ec {}

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

• /home/docs/checkouts/readthedocs.org/user_builds/axom/checkouts/develop/src/axom/quest/FastApproximateGWN.hpp