ON_Sphere Class Reference

#include <opennurbs_sphere.h>

Public Member Functions
	ON_Sphere ()
	ON_Sphere (const ON_3dPoint &center, double radius)
	center, radius More...
	~ON_Sphere ()
ON_BoundingBox	BoundingBox () const
ON_3dPoint	Center () const
ON_3dPoint	ClosestPointTo (ON_3dPoint test_point) const
	returns point on sphere that is closest to given point More...
bool	ClosestPointTo (ON_3dPoint test_point, double *longitude_radians, double *latitude_radians) const
	returns parameters of point on sphere that is closest to given point More...
bool	Create (const ON_3dPoint &center, double radius)
	center radius More...
double	Diameter () const
int	GetNurbForm (ON_NurbsSurface &) const
	parameterization of NURBS surface does not match sphere's transcendental paramaterization More...
bool	IsValid () const
ON_Circle	LatitudeDegrees (double latitude_degrees) const
ON_Circle	LatitudeRadians (double latitude_radians) const
ON_Circle	LongitudeDegrees (double longitude_degrees) const
ON_Circle	LongitudeRadians (double longitude_radians) const
ON_3dVector	NormalAt (double longitude_radians, double latitude_radians) const
	longitude [0,2pi], latitude [-pi/2,pi/2] in radians More...
ON_3dPoint	NorthPole () const
ON_3dPoint	PointAt (double longitude_radians, double latitude_radians) const
	longitude [0,2pi], latitude [-pi/2,pi/2] in radians More...
double	Radius () const
ON_RevSurface *	RevSurfaceForm (bool bArcLengthParameterization, ON_RevSurface *srf=nullptr) const
ON_RevSurface *	RevSurfaceForm (ON_RevSurface *srf=nullptr) const
bool	Rotate (double angle_radians, const ON_3dVector &axis_of_rotation)
bool	Rotate (double angle_radians, const ON_3dVector &axis_of_rotation, const ON_3dPoint &center_of_rotation)
bool	Rotate (double sin_angle, double cos_angle, const ON_3dVector &axis_of_rotation)
	For intersections see ON_Intersect();. More...
bool	Rotate (double sin_angle, double cos_angle, const ON_3dVector &axis_of_rotation, const ON_3dPoint &center_of_rotation)
	rotate sphere about a point and axis More...
ON_3dPoint	SouthPole () const
bool	Transform (const ON_Xform &)
bool	Translate (const ON_3dVector &)

Public Attributes
ON_Plane	plane
	equatorial plane More...
double	radius
	0 More...

Constructor & Destructor Documentation

ON_Sphere() [1/2]

ON_Sphere::ON_Sphere

(

)

ON_Sphere() [2/2]

ON_Sphere::ON_Sphere	(	const ON_3dPoint &	center,
		double	radius
	)

center, radius

~ON_Sphere()

ON_Sphere::~ON_Sphere

(

)

Member Function Documentation

BoundingBox()

ON_BoundingBox ON_Sphere::BoundingBox

(

)

const

Center()

ON_3dPoint ON_Sphere::Center

(

)

const

ClosestPointTo() [1/2]

ON_3dPoint ON_Sphere::ClosestPointTo

(

ON_3dPoint

test_point

)

const

returns point on sphere that is closest to given point

ClosestPointTo() [2/2]

bool ON_Sphere::ClosestPointTo	(	ON_3dPoint	test_point,
		double *	longitude_radians,
		double *	latitude_radians
	)		const

returns parameters of point on sphere that is closest to given point

Parameters

longitude_radians	longitude [0,2pi)
latitude_radians	latitude [-pi/2,pi/2]

Create()

bool ON_Sphere::Create	(	const ON_3dPoint &	center,
		double	radius
	)

center radius

Diameter()

double ON_Sphere::Diameter

(

)

const

GetNurbForm()

int ON_Sphere::GetNurbForm

(

ON_NurbsSurface &

)

const

parameterization of NURBS surface does not match sphere's transcendental paramaterization

returns 0=failure, 2=success

IsValid()

bool ON_Sphere::IsValid

(

)

const

LatitudeDegrees()

ON_Circle ON_Sphere::LatitudeDegrees

(

double

latitude_degrees

)

const

LatitudeRadians()

ON_Circle ON_Sphere::LatitudeRadians

(

double

latitude_radians

)

const

LongitudeDegrees()

ON_Circle ON_Sphere::LongitudeDegrees

(

double

longitude_degrees

)

const

LongitudeRadians()

ON_Circle ON_Sphere::LongitudeRadians

(

double

longitude_radians

)

const

NormalAt()

ON_3dVector ON_Sphere::NormalAt	(	double	longitude_radians,
		double	latitude_radians
	)		const

longitude [0,2pi], latitude [-pi/2,pi/2] in radians

NorthPole()

ON_3dPoint ON_Sphere::NorthPole

(

)

const

PointAt()

ON_3dPoint ON_Sphere::PointAt	(	double	longitude_radians,
		double	latitude_radians
	)		const

longitude [0,2pi], latitude [-pi/2,pi/2] in radians

Radius()

double ON_Sphere::Radius

(

)

const

RevSurfaceForm() [1/2]

ON_RevSurface* ON_Sphere::RevSurfaceForm	(	bool	bArcLengthParameterization,
		ON_RevSurface *	srf = nullptr
	)		const

Description: Creates a surface of revolution definition of the sphere. Parameters: bArcLengthParameterization - [in] true: The domain will be set to (0,radius*2*pi)x(-radius*pi/2,radius*pi/2) false: The domain will be set to (0,2*pi)x(-pi/2,pi/2) srf - [in] if not nullptr, then this srf is used. Result: A surface of revolution or nullptr if the sphere is not valid.

RevSurfaceForm() [2/2]

ON_RevSurface* ON_Sphere::RevSurfaceForm

(

ON_RevSurface *

srf = nullptr

)

const

Deprecated:

Call RevSurfaceForm(false,srf)

Rotate() [1/4]

bool ON_Sphere::Rotate	(	double	angle_radians,
		const ON_3dVector &	axis_of_rotation
	)

Parameters

angle_radians	angle in radians
axis_of_rotation	axis of rotation

Rotate() [2/4]

bool ON_Sphere::Rotate	(	double	angle_radians,
		const ON_3dVector &	axis_of_rotation,
		const ON_3dPoint &	center_of_rotation
	)

Parameters

angle_radians	angle in radians
axis_of_rotation	axis of rotation
center_of_rotation	center of rotation

Rotate() [3/4]

bool ON_Sphere::Rotate	(	double	sin_angle,
		double	cos_angle,
		const ON_3dVector &	axis_of_rotation
	)

For intersections see ON_Intersect();.

rotate sphere about its origin

Parameters

sin_angle	sin(angle)
cos_angle	cos(angle)
axis_of_rotation	axis of rotation

Rotate() [4/4]

bool ON_Sphere::Rotate	(	double	sin_angle,
		double	cos_angle,
		const ON_3dVector &	axis_of_rotation,
		const ON_3dPoint &	center_of_rotation
	)

rotate sphere about a point and axis

Parameters

sin_angle	sin(angle)
cos_angle	cos(angle)
axis_of_rotation	axis of rotation
center_of_rotation	center of rotation

SouthPole()

ON_3dPoint ON_Sphere::SouthPole

(

)

const

Transform()

bool ON_Sphere::Transform

(

const ON_Xform &

)

Translate()

bool ON_Sphere::Translate

(

const ON_3dVector &

)

Member Data Documentation

plane

ON_Plane ON_Sphere::plane

equatorial plane

radius

double ON_Sphere::radius

0