lass::prim::Sphere3D< T > Struct Template Reference

3D Sphere More...

#include <sphere_3d.h>

Inheritance diagram for lass::prim::Sphere3D< T >:

Public Member Functions
const TValue	area () const
	return area of surface of sphere
const TValue	volume () const
	return volume of sphere
Side	classify (const TPoint &iPoint) const
	Classify a point and tell and what side of the sphere surface it is.
const TValue	equation (const TPoint &iPoint) const
	(P - C)² - r²
const TValue	signedDistance (const TPoint &iPoint) const
	return signed distance of point to surface of sphere.
const TValue	squaredDistance (const TPoint &iPoint) const
	return squared distance of point to surface of sphere.
bool	contains (const TPoint &iPoint) const
	returns if point is on inside or on surface
Side	classify (const TPoint &iPoint, TParam iRelativeTolerance) const
	Classify a point and tell and what side of the sphere surface it is.
const TValue	equation (const TPoint &iPoint, TParam iRelativeTolerance) const
	(P - C)² - r²
const TValue	signedDistance (const TPoint &iPoint, TParam iRelativeTolerance) const
	return signed distance of point to surface of sphere.
const TValue	squaredDistance (const TPoint &iPoint, TParam iRelativeTolerance) const
	return squared distance of point to surface of sphere.
bool	contains (const TPoint &iPoint, TParam iRelativeTolerance) const
	returns if point is on inside or on surface
bool	isValid () const
	return true if sphere has a non-negative radius

Related Symbols
(Note that these are not member symbols.)
template<typename T>
Aabb3D< T >	aabb (const Sphere3D< T > &sphere)
template<typename T, typename MMP>
bool	intersects (const Sphere3D< T > &sphere, const Aabb3D< T, MMP > &aabb)
template<typename T, typename MMP>
bool	collides (const Sphere3D< T > &sphere, const Aabb3D< T, MMP > &aabb)

Detailed Description

template<typename T>
struct lass::prim::Sphere3D< T >

3D Sphere

Author

Bram de Greve

Date

2002-2003

Definition at line 75 of file sphere_3d.h.

Member Function Documentation

classify() [1/2]

template<typename T>

Side lass::prim::Sphere3D< T >::classify

(

const TPoint &

iPoint

)

const

Classify a point and tell and what side of the sphere surface it is.

Returns

sInside, sSurface, sOutside

Definition at line 140 of file sphere_3d.inl.

References classify(), equation(), lass::prim::sInside, lass::prim::sOutside, and lass::prim::sSurface.

Referenced by classify(), and classify().

signedDistance() [1/2]

template<typename T>

const Sphere3D< T >::TValue lass::prim::Sphere3D< T >::signedDistance

(

const TPoint &

iPoint

)

const

return signed distance of point to surface of sphere.

negative distance means point is inside the sphere.

Definition at line 166 of file sphere_3d.inl.

References equation(), and signedDistance().

Referenced by signedDistance(), and signedDistance().

contains() [1/2]

template<typename T>

bool lass::prim::Sphere3D< T >::contains

(

const TPoint &

iPoint

)

const

returns if point is on inside or on surface

Returns

classify(iPoint) != sOutside but may be faster

Definition at line 189 of file sphere_3d.inl.

References contains(), and equation().

Referenced by contains(), and contains().

classify() [2/2]

template<typename T>

Side lass::prim::Sphere3D< T >::classify	(	const TPoint &	iPoint,
		TParam	iRelativeTolerance ) const

Classify a point and tell and what side of the sphere surface it is.

Returns

sInside, sSurface, sOutside

Definition at line 201 of file sphere_3d.inl.

References classify(), equation(), lass::prim::sInside, lass::prim::sOutside, and lass::prim::sSurface.

signedDistance() [2/2]

template<typename T>

const Sphere3D< T >::TValue lass::prim::Sphere3D< T >::signedDistance	(	const TPoint &	iPoint,
		TParam	iRelativeTolerance ) const

return signed distance of point to surface of sphere.

negative distance means point is inside the sphere.

Definition at line 229 of file sphere_3d.inl.

References equation(), and signedDistance().

contains() [2/2]

template<typename T>

bool lass::prim::Sphere3D< T >::contains	(	const TPoint &	iPoint,
		TParam	iRelativeTolerance ) const

returns if point is on inside or on surface

Returns

classify(iPoint, iRelativeTolerance) != sOutside but may be faster

Definition at line 252 of file sphere_3d.inl.

References contains(), and equation().

Friends And Related Symbol Documentation

aabb()

template<typename T>

Aabb3D< T > aabb ( const Sphere3D< T > & sphere )

related

See also

lass::prim::Aabb3D

Definition at line 59 of file aabb_3d_sphere_3d.h.

intersects()

template<typename T, typename MMP>

bool intersects ( const Sphere3D< T > & sphere, const Aabb3D< T, MMP > & aabb )

related

See also

lass::prim::Aabb3D

Definition at line 99 of file aabb_3d_sphere_3d.h.

collides()

template<typename T, typename MMP>

bool collides ( const Sphere3D< T > & sphere, const Aabb3D< T, MMP > & aabb )

related

See also

lass::prim::Aabb3D

Definition at line 123 of file aabb_3d_sphere_3d.h.

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

• sphere_3d.h
• aabb_3d_sphere_3d.h
• sphere_3d.inl