madness::SDFCone Class Reference

A cone (3 dimensions) More...

#include <sdf_shape_3D.h>

Inheritance diagram for madness::SDFCone:

Collaboration diagram for madness::SDFCone:

Public Member Functions
	SDFCone (const double c, const coord_3d &apex, const coord_3d &direc)
	Constructor for cone.
coord_3d	grad_sdf (const coord_3d &pt) const
	Computes the gradient of the SDF.
double	sdf (const coord_3d &pt) const
	Computes the normal distance.
Public Member Functions inherited from madness::SignedDFInterface< 3 >
virtual	~SignedDFInterface ()
virtual Vector< double, NDIM >	grad_sdf (const Vector< double, NDIM > &x) const=0
	Returns the gradient of the signed distance from the surface (i.e., dsdf(x)/dx[i] )
virtual double	sdf (const Vector< double, NDIM > &x) const=0
	Returns the signed distance from the surface,.

Protected Attributes
const coord_3d	apex
	The apex.
const double	c
	The radius.
const coord_3d	dir
	The direction of the axis, from the apex INSIDE.

Detailed Description

A cone (3 dimensions)

The cone is defined by

where is along the cone's axis.

Constructor & Destructor Documentation

SDFCone()

madness::SDFCone::SDFCone ( const double  c, const coord_3d &  apex, const coord_3d &  direc  )

inline

Constructor for cone.

Parameters

c	Parameter in the definition of the cone
apex	Apex of cone
direc	Oriented axis of the cone

Member Function Documentation

grad_sdf()

coord_3d madness::SDFCone::grad_sdf ( const coord_3d &  pt ) const

inline

Computes the gradient of the SDF.

Parameters

pt	Point at which to compute the gradient

Returns

the gradient

References MADNESS_EXCEPTION.

sdf()

double madness::SDFCone::sdf ( const coord_3d &  pt ) const

inline

Computes the normal distance.

This SDF naively uses contours, and should be improved before serious usage.

Parameters

pt	Point at which to compute the distance from the surface

Returns

The signed distance from the surface

References apex, c, diff(), dir, and madness::nonlinear_vector_solver().

Member Data Documentation

apex

const coord_3d madness::SDFCone::apex

protected

The apex.

Referenced by sdf().

c

const double madness::SDFCone::c

protected

The radius.

Referenced by sdf().

dir

const coord_3d madness::SDFCone::dir

protected

The direction of the axis, from the apex INSIDE.

Referenced by sdf().

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

• sdf_shape_3D.h