Describes a sphere. A sphere is defined by its radius and positioned in space with a coordinate system (a gp_Ax3 object). The origin of the coordinate system is the center of the sphere. This coordinate system is the "local coordinate system" of the sphere. Note: when a gp_Sphere sphere is converted into a Geom_SphericalSurface sphere, some implicit properties of its local coordinate system are used explicitly: More...

#include <gp_Sphere.hxx>

Public Member Functions
	gp_Sphere ()
	Creates an indefinite sphere.

	gp_Sphere (const gp_Ax3 &theA3, const Standard_Real theRadius)
	Constructs a sphere with radius theRadius, centered on the origin of theA3. theA3 is the local coordinate system of the sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if theRadius < 0.0.

void	SetLocation (const gp_Pnt &theLoc)
	Changes the center of the sphere.

void	SetPosition (const gp_Ax3 &theA3)
	Changes the local coordinate system of the sphere.

void	SetRadius (const Standard_Real theR)
	Assigns theR the radius of the Sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if theR < 0.0.

Standard_Real	Area () const
	Computes the area of the sphere.

void	Coefficients (Standard_Real &theA1, Standard_Real &theA2, Standard_Real &theA3, Standard_Real &theB1, Standard_Real &theB2, Standard_Real &theB3, Standard_Real &theC1, Standard_Real &theC2, Standard_Real &theC3, Standard_Real &theD) const
	Computes the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates system :

void	UReverse ()
	Reverses the U parametrization of the sphere reversing the YAxis.

void	VReverse ()
	Reverses the V parametrization of the sphere reversing the ZAxis.

Standard_Boolean	Direct () const
	Returns true if the local coordinate system of this sphere is right-handed.

const gp_Pnt &	Location () const
	— Purpose ; Returns the center of the sphere.

const gp_Ax3 &	Position () const
	Returns the local coordinates system of the sphere.

Standard_Real	Radius () const
	Returns the radius of the sphere.

Standard_Real	Volume () const
	Computes the volume of the sphere.

gp_Ax1	XAxis () const
	Returns the axis X of the sphere.

gp_Ax1	YAxis () const
	Returns the axis Y of the sphere.

void	Mirror (const gp_Pnt &theP)

gp_Sphere	Mirrored (const gp_Pnt &theP) const
	Performs the symmetrical transformation of a sphere with respect to the point theP which is the center of the symmetry.

void	Mirror (const gp_Ax1 &theA1)

gp_Sphere	Mirrored (const gp_Ax1 &theA1) const
	Performs the symmetrical transformation of a sphere with respect to an axis placement which is the axis of the symmetry.

void	Mirror (const gp_Ax2 &theA2)

gp_Sphere	Mirrored (const gp_Ax2 &theA2) const
	Performs the symmetrical transformation of a sphere with respect to a plane. The axis placement theA2 locates the plane of the of the symmetry : (Location, XDirection, YDirection).

void	Rotate (const gp_Ax1 &theA1, const Standard_Real theAng)

gp_Sphere	Rotated (const gp_Ax1 &theA1, const Standard_Real theAng) const
	Rotates a sphere. theA1 is the axis of the rotation. theAng is the angular value of the rotation in radians.

void	Scale (const gp_Pnt &theP, const Standard_Real theS)

gp_Sphere	Scaled (const gp_Pnt &theP, const Standard_Real theS) const
	Scales a sphere. theS is the scaling value. The absolute value of S is used to scale the sphere.

void	Transform (const gp_Trsf &theT)

gp_Sphere	Transformed (const gp_Trsf &theT) const
	Transforms a sphere with the transformation theT from class Trsf.

void	Translate (const gp_Vec &theV)

gp_Sphere	Translated (const gp_Vec &theV) const
	Translates a sphere in the direction of the vector theV. The magnitude of the translation is the vector's magnitude.

void	Translate (const gp_Pnt &theP1, const gp_Pnt &theP2)

gp_Sphere	Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const
	Translates a sphere from the point theP1 to the point theP2.

Detailed Description

Describes a sphere. A sphere is defined by its radius and positioned in space with a coordinate system (a gp_Ax3 object). The origin of the coordinate system is the center of the sphere. This coordinate system is the "local coordinate system" of the sphere. Note: when a gp_Sphere sphere is converted into a Geom_SphericalSurface sphere, some implicit properties of its local coordinate system are used explicitly:

its origin, "X Direction", "Y Direction" and "main Direction" are used directly to define the parametric directions on the sphere and the origin of the parameters,
its implicit orientation (right-handed or left-handed) gives the orientation (direct, indirect) to the Geom_SphericalSurface sphere. See Also gce_MakeSphere which provides functions for more complex sphere constructions Geom_SphericalSurface which provides additional functions for constructing spheres and works, in particular, with the parametric equations of spheres.

Constructor & Destructor Documentation

◆ gp_Sphere() [1/2]

gp_Sphere::gp_Sphere ( )

inline

Creates an indefinite sphere.

◆ gp_Sphere() [2/2]

gp_Sphere::gp_Sphere	(	const gp_Ax3 &	theA3,
		const Standard_Real	theRadius )

inline

Constructs a sphere with radius theRadius, centered on the origin of theA3. theA3 is the local coordinate system of the sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if theRadius < 0.0.

Member Function Documentation

◆ Area()

Standard_Real gp_Sphere::Area ( ) const

inline

Computes the area of the sphere.

◆ Coefficients()

void gp_Sphere::Coefficients	(	Standard_Real &	theA1,
		Standard_Real &	theA2,
		Standard_Real &	theA3,
		Standard_Real &	theB1,
		Standard_Real &	theB2,
		Standard_Real &	theB3,
		Standard_Real &	theC1,
		Standard_Real &	theC2,
		Standard_Real &	theC3,
		Standard_Real &	theD ) const

Computes the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates system :

theA1.X**2 + theA2.Y**2 + theA3.Z**2 + 2.(theB1.X.Y + theB2.X.Z + theB3.Y.Z) +

2.(theC1.X + theC2.Y + theC3.Z) + theD = 0.0

◆ Direct()

Standard_Boolean gp_Sphere::Direct ( ) const

inline

Returns true if the local coordinate system of this sphere is right-handed.

◆ Location()

const gp_Pnt & gp_Sphere::Location ( ) const

inline

— Purpose ; Returns the center of the sphere.

◆ Mirror() [1/3]

void gp_Sphere::Mirror ( const gp_Ax1 & theA1 )

◆ Mirror() [2/3]

void gp_Sphere::Mirror ( const gp_Ax2 & theA2 )

◆ Mirror() [3/3]

void gp_Sphere::Mirror ( const gp_Pnt & theP )

◆ Mirrored() [1/3]

gp_Sphere gp_Sphere::Mirrored ( const gp_Ax1 & theA1 ) const

Performs the symmetrical transformation of a sphere with respect to an axis placement which is the axis of the symmetry.

◆ Mirrored() [2/3]

gp_Sphere gp_Sphere::Mirrored ( const gp_Ax2 & theA2 ) const

Performs the symmetrical transformation of a sphere with respect to a plane. The axis placement theA2 locates the plane of the of the symmetry : (Location, XDirection, YDirection).

◆ Mirrored() [3/3]

gp_Sphere gp_Sphere::Mirrored ( const gp_Pnt & theP ) const

Performs the symmetrical transformation of a sphere with respect to the point theP which is the center of the symmetry.

◆ Position()

const gp_Ax3 & gp_Sphere::Position ( ) const

inline

Returns the local coordinates system of the sphere.

◆ Radius()

Standard_Real gp_Sphere::Radius ( ) const

inline

Returns the radius of the sphere.

◆ Rotate()

void gp_Sphere::Rotate	(	const gp_Ax1 &	theA1,
		const Standard_Real	theAng )

inline

◆ Rotated()

gp_Sphere gp_Sphere::Rotated	(	const gp_Ax1 &	theA1,
		const Standard_Real	theAng ) const

inline

Rotates a sphere. theA1 is the axis of the rotation. theAng is the angular value of the rotation in radians.

◆ Scale()

void gp_Sphere::Scale	(	const gp_Pnt &	theP,
		const Standard_Real	theS )

inline

◆ Scaled()

gp_Sphere gp_Sphere::Scaled	(	const gp_Pnt &	theP,
		const Standard_Real	theS ) const

inline

Scales a sphere. theS is the scaling value. The absolute value of S is used to scale the sphere.

◆ SetLocation()

void gp_Sphere::SetLocation ( const gp_Pnt & theLoc )

inline

Changes the center of the sphere.

◆ SetPosition()

void gp_Sphere::SetPosition ( const gp_Ax3 & theA3 )

inline

Changes the local coordinate system of the sphere.

◆ SetRadius()

void gp_Sphere::SetRadius ( const Standard_Real theR )

inline

Assigns theR the radius of the Sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if theR < 0.0.

◆ Transform()

void gp_Sphere::Transform ( const gp_Trsf & theT )

inline

◆ Transformed()

gp_Sphere gp_Sphere::Transformed ( const gp_Trsf & theT ) const

inline

Transforms a sphere with the transformation theT from class Trsf.

◆ Translate() [1/2]

void gp_Sphere::Translate	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 )

inline

◆ Translate() [2/2]

void gp_Sphere::Translate ( const gp_Vec & theV )

inline

◆ Translated() [1/2]

gp_Sphere gp_Sphere::Translated	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 ) const

inline

Translates a sphere from the point theP1 to the point theP2.

◆ Translated() [2/2]

gp_Sphere gp_Sphere::Translated ( const gp_Vec & theV ) const

inline

Translates a sphere in the direction of the vector theV. The magnitude of the translation is the vector's magnitude.

◆ UReverse()

void gp_Sphere::UReverse ( )

inline

Reverses the U parametrization of the sphere reversing the YAxis.

◆ Volume()

Standard_Real gp_Sphere::Volume ( ) const

inline

Computes the volume of the sphere.

◆ VReverse()

void gp_Sphere::VReverse ( )

inline

Reverses the V parametrization of the sphere reversing the ZAxis.

◆ XAxis()

gp_Ax1 gp_Sphere::XAxis ( ) const

inline

Returns the axis X of the sphere.

◆ YAxis()

gp_Ax1 gp_Sphere::YAxis ( ) const

inline

Returns the axis Y of the sphere.

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

gp_Sphere.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Sphere() [1/2]

◆ gp_Sphere() [2/2]

Member Function Documentation

◆ Area()

◆ Coefficients()

◆ Direct()

◆ Location()

◆ Mirror() [1/3]

◆ Mirror() [2/3]

◆ Mirror() [3/3]

◆ Mirrored() [1/3]

◆ Mirrored() [2/3]

◆ Mirrored() [3/3]

◆ Position()

◆ Radius()

◆ Rotate()

◆ Rotated()

◆ Scale()

◆ Scaled()

◆ SetLocation()

◆ SetPosition()

◆ SetRadius()

◆ Transform()

◆ Transformed()

◆ Translate() [1/2]

◆ Translate() [2/2]

◆ Translated() [1/2]

◆ Translated() [2/2]

◆ UReverse()

◆ Volume()

◆ VReverse()

◆ XAxis()

◆ YAxis()