Sphere< T, N > Class Template Reference

A N-dimensional circle, sphere, or hypersphere. More...

#include <geomc/shape/Sphere.h>

Inheritance diagram for Sphere< T, N >:

Public Types
typedef ptype::point_t	point_t
typedef T	elem_t
	The coordinate type of this shape.

Public Member Functions
constexpr	Sphere ()
constexpr	Sphere (T r)
constexpr	Sphere (const point_t &c, T r)
Rect< T, N >	bounds () const
bool	contains (point_t p) const
	Shape-point intersection test.
bool	intersects (Sphere s) const
point_t	convex_support (point_t d) const
T	sdf (point_t p) const
	Signed distance function.
point_t	project (point_t p) const
point_t	normal (point_t p) const
	Outward-facing direction.
Rect< T, 1 >	intersect (const Ray< T, N > &ray) const
	Shape-ray intersection test.
bool	intersects (const Convex< T, N, Shape > &other) const
	Convex shape overlap test. More...
Vec< T, N >	clip (Vec< T, N > p) const
	Nearest point on the interior of the shape. More...

Public Attributes
point_t	center
	Center of the sphere.
T	r
	Radius of the sphere.

Static Public Attributes
static constexpr size_t	N = _N
	The dimension of this shape.

Detailed Description

template<typename T, index_t N>
class geom::Sphere< T, N >

A N-dimensional circle, sphere, or hypersphere.

Constructor & Destructor Documentation

Sphere() [1/3]

constexpr Sphere ( )

inlineconstexpr

Construct a sphere at the origin with radius 1.

Sphere() [2/3]

constexpr Sphere ( T  r )

inlineconstexpr

Construct a sphere with center at the origin, having radius r.

Parameters

r	Radius of spehre.

Sphere() [3/3]

constexpr Sphere ( const point_t &  c, T  r  )

inlineconstexpr

Construct a sphere with center at the point c, having radius r.

Parameters

c	Center of sphere.
r	Radius of spehre.

Member Function Documentation

clip()

Vec< T, N > clip ( Vec< T, N >  p ) const

inlineinherited

Nearest point on the interior of the shape.

If p is on the interior of the shape, return p unaltered; otherwise orthogonally project p to the shape's surface.

intersects() [1/2]

bool intersects ( const Convex< T, N, Shape > &  other ) const

inlineinherited

Convex shape overlap test.

Returns

True if and only if this convex shape overlaps other; false otherwise.

intersects() [2/2]

bool intersects ( Sphere< T, N >  s ) const

inline

Sphere-sphere intersection test.

Parameters

s	Another sphere.

Returns

true if s overlaps with this sphere's volume, false otherwise.

project()

point_t project ( point_t  p ) const

inline

Return the point p orthogonally projected onto the surface of the shape.

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

• geomc/shape/ShapeTypes.h
• geomc/shape/Sphere.h