EBGeometry::ConeSDF< T > Class Template Reference

Signed distance field for a finite cone. More...

#include <EBGeometry_AnalyticDistanceFunctions.hpp>

Inheritance diagram for EBGeometry::ConeSDF< T >:

Collaboration diagram for EBGeometry::ConeSDF< T >:

Public Member Functions
	ConeSDF ()=default
	Default constructor. Constructs a finite cone with its tip at the origin, height 1, and a 45-degree opening angle, body extending in the -z direction.
	ConeSDF (const Vec3T< T > &a_tip, const T &a_height, const T &a_angle) noexcept
	Full constructor.
	ConeSDF (const ConeSDF &)=default
	Copy constructor.
	ConeSDF (ConeSDF &&)=default
	Move constructor.
ConeSDF &	operator= (const ConeSDF &)=default
	Copy assignment.
ConeSDF &	operator= (ConeSDF &&)=default
	Move assignment.
	~ConeSDF () override=default
	Destructor.
T	signedDistance (const Vec3T< T > &a_point) const noexcept override
	Signed distance function for the finite cone.
Public Member Functions inherited from EBGeometry::SignedDistanceFunction< T >
	SignedDistanceFunction ()=default
	Default constructor.
	~SignedDistanceFunction () override=default
	Destructor.
T	value (const Vec3T< T > &a_point) const noexcept final
	Implementation of ImplicitFunction::value; delegates to signedDistance().
virtual Vec3T< T >	normal (const Vec3T< T > &a_point, const T &a_delta) const noexcept
	Compute the outward normal using central finite differences.
Public Member Functions inherited from EBGeometry::ImplicitFunction< T >
	ImplicitFunction ()=default
	Default constructor.
virtual	~ImplicitFunction ()=default
	Default destructor.
T	operator() (const Vec3T< T > &a_point) const noexcept
	Call operator — alternative signature for the value function.
template<class BV >
BV	approximateBoundingVolumeOctree (const Vec3T< T > &a_initialLowCorner, const Vec3T< T > &a_initialHighCorner, const unsigned int a_maxTreeDepth, const T &a_safety=0.0) const
	Compute an approximation to the bounding volume for the implicit surface using octree subdivision.

Protected Attributes
Vec3T< T >	m_tip = Vec3T<T>::zeros()
	Tip position.
Vec2T< T >	m_c = Vec2T<T>(std::sin(pi<T> / T(8)), std::cos(pi<T> / T(8)))
	(sin, cos) of the half opening-angle. Default: 45° full angle → half-angle 22.5°.
T	m_height = T(1)
	Cone height (tip to base).

Detailed Description

template<class T>
class EBGeometry::ConeSDF< T >

Signed distance field for a finite cone.

The cone tip is at m_tip and the body opens in the -z direction, so the base disc lies at m_tip + (0, 0, -m_height). The full opening angle a_angle is the tip-to-tip apex angle; internally the half-angle is encoded as m_c = (std::sin(half_angle), std::cos(half_angle)). The base radius equals m_height * std::tan(half_angle) = m_height * m_c.x / m_c.y.

The SDF is negative inside the solid cone (including the base disc) and positive outside. By default the tip is at the origin, the height is 1, and the full opening angle is 45°, giving a base radius of std::tan(22.5°) ≈ 0.414.

Template Parameters

T	Floating-point precision.

Constructor & Destructor Documentation

ConeSDF()

template<class T >

EBGeometry::ConeSDF< T >::ConeSDF ( const Vec3T< T > &  a_tip, const T &  a_height, const T &  a_angle  )

inlinenoexcept

Full constructor.

Parameters

[in]	a_tip	Cone tip position.
[in]	a_height	Cone height (tip to base).
[in]	a_angle	Full opening angle in degrees.

Member Function Documentation

operator=() [1/2]

template<class T >

ConeSDF & EBGeometry::ConeSDF< T >::operator= ( ConeSDF< T > &&  )

default

Move assignment.

Returns

Reference to (*this).

operator=() [2/2]

template<class T >

ConeSDF & EBGeometry::ConeSDF< T >::operator= ( const ConeSDF< T > &  )

default

Copy assignment.

Returns

Reference to (*this).

signedDistance()

template<class T >

T EBGeometry::ConeSDF< T >::signedDistance ( const Vec3T< T > &  a_point ) const

inlineoverridevirtualnoexcept

Signed distance function for the finite cone.

Parameters

[in]

a_point

Position.

Returns

Signed distance from a_point to the cone surface; negative inside the cone.

Implements EBGeometry::SignedDistanceFunction< T >.

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

• Source/EBGeometry_AnalyticDistanceFunctions.hpp