madness::SDFSphere Class Reference

A spherical surface (3 dimensions) More...

#include <sdf_shape_3D.h>

Inheritance diagram for madness::SDFSphere:

Collaboration diagram for madness::SDFSphere:

Public Member Functions
	SDFSphere (const double radius, const coord_3d &center)
	SDF for a sphere.
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	center
	Center of sphere.
const double	radius
	Radius of sphere.

Detailed Description

A spherical surface (3 dimensions)

Constructor & Destructor Documentation

SDFSphere()

madness::SDFSphere::SDFSphere ( const double  radius, const coord_3d &  center  )

inline

SDF for a sphere.

Parameters

radius	The radius of the sphere
center	The center of the sphere

Member Function Documentation

grad_sdf()

coord_3d madness::SDFSphere::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 center, madness::g, and madness::nonlinear_vector_solver().

sdf()

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

inline

Computes the normal distance.

This SDF is exact, and easy to show.

Parameters

pt	Point at which to compute the distance from the surface

Returns

The signed distance from the surface

References center, madness::nonlinear_vector_solver(), and radius.

Member Data Documentation

center

const coord_3d madness::SDFSphere::center

protected

Center of sphere.

Referenced by grad_sdf(), and sdf().

radius

const double madness::SDFSphere::radius

protected

Radius of sphere.

Referenced by sdf().

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

• sdf_shape_3D.h