Open CASCADE Technology  7.3.1.dev
Public Member Functions
gp_Sphere Class Reference

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. More...
 
 gp_Sphere (const gp_Ax3 &A3, const Standard_Real Radius)
 Constructs a sphere with radius Radius, centered on the origin of A3. A3 is the local coordinate system of the sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if Radius < 0.0. More...
 
void SetLocation (const gp_Pnt &Loc)
 Changes the center of the sphere. More...
 
void SetPosition (const gp_Ax3 &A3)
 Changes the local coordinate system of the sphere. More...
 
void SetRadius (const Standard_Real R)
 Assigns R the radius of the Sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if R < 0.0. More...
 
Standard_Real Area () const
 Computes the aera of the sphere. More...
 
void Coefficients (Standard_Real &A1, Standard_Real &A2, Standard_Real &A3, Standard_Real &B1, Standard_Real &B2, Standard_Real &B3, Standard_Real &C1, Standard_Real &C2, Standard_Real &C3, Standard_Real &D) const
 Computes the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates system : A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0. More...
 
void UReverse ()
 Reverses the U parametrization of the sphere reversing the YAxis. More...
 
void VReverse ()
 Reverses the V parametrization of the sphere reversing the ZAxis. More...
 
Standard_Boolean Direct () const
 Returns true if the local coordinate system of this sphere is right-handed. More...
 
const gp_PntLocation () const
 — Purpose ; Returns the center of the sphere. More...
 
const gp_Ax3Position () const
 Returns the local coordinates system of the sphere. More...
 
Standard_Real Radius () const
 Returns the radius of the sphere. More...
 
Standard_Real Volume () const
 Computes the volume of the sphere. More...
 
gp_Ax1 XAxis () const
 Returns the axis X of the sphere. More...
 
gp_Ax1 YAxis () const
 Returns the axis Y of the sphere. More...
 
void Mirror (const gp_Pnt &P)
 
gp_Sphere Mirrored (const gp_Pnt &P) const
 Performs the symmetrical transformation of a sphere with respect to the point P which is the center of the symmetry. More...
 
void Mirror (const gp_Ax1 &A1)
 
gp_Sphere Mirrored (const gp_Ax1 &A1) const
 Performs the symmetrical transformation of a sphere with respect to an axis placement which is the axis of the symmetry. More...
 
void Mirror (const gp_Ax2 &A2)
 
gp_Sphere Mirrored (const gp_Ax2 &A2) const
 Performs the symmetrical transformation of a sphere with respect to a plane. The axis placement A2 locates the plane of the of the symmetry : (Location, XDirection, YDirection). More...
 
void Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
 
gp_Sphere Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const
 Rotates a sphere. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...
 
void Scale (const gp_Pnt &P, const Standard_Real S)
 
gp_Sphere Scaled (const gp_Pnt &P, const Standard_Real S) const
 Scales a sphere. S is the scaling value. The absolute value of S is used to scale the sphere. More...
 
void Transform (const gp_Trsf &T)
 
gp_Sphere Transformed (const gp_Trsf &T) const
 Transforms a sphere with the transformation T from class Trsf. More...
 
void Translate (const gp_Vec &V)
 
gp_Sphere Translated (const gp_Vec &V) const
 Translates a sphere in the direction of the vector V. The magnitude of the translation is the vector's magnitude. More...
 
void Translate (const gp_Pnt &P1, const gp_Pnt &P2)
 
gp_Sphere Translated (const gp_Pnt &P1, const gp_Pnt &P2) const
 Translates a sphere from the point P1 to the point P2. More...
 

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:

Constructor & Destructor Documentation

◆ gp_Sphere() [1/2]

gp_Sphere::gp_Sphere ( )

Creates an indefinite sphere.

◆ gp_Sphere() [2/2]

gp_Sphere::gp_Sphere ( const gp_Ax3 A3,
const Standard_Real  Radius 
)

Constructs a sphere with radius Radius, centered on the origin of A3. A3 is the local coordinate system of the sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if Radius < 0.0.

Member Function Documentation

◆ Area()

Standard_Real gp_Sphere::Area ( ) const

Computes the aera of the sphere.

◆ Coefficients()

void gp_Sphere::Coefficients ( Standard_Real A1,
Standard_Real A2,
Standard_Real A3,
Standard_Real B1,
Standard_Real B2,
Standard_Real B3,
Standard_Real C1,
Standard_Real C2,
Standard_Real C3,
Standard_Real D 
) const

Computes the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates system : A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0.

◆ Direct()

Standard_Boolean gp_Sphere::Direct ( ) const

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

◆ Location()

const gp_Pnt& gp_Sphere::Location ( ) const

— Purpose ; Returns the center of the sphere.

◆ Mirror() [1/3]

void gp_Sphere::Mirror ( const gp_Pnt P)

◆ Mirror() [2/3]

void gp_Sphere::Mirror ( const gp_Ax1 A1)

◆ Mirror() [3/3]

void gp_Sphere::Mirror ( const gp_Ax2 A2)

◆ Mirrored() [1/3]

gp_Sphere gp_Sphere::Mirrored ( const gp_Pnt P) const

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

◆ Mirrored() [2/3]

gp_Sphere gp_Sphere::Mirrored ( const gp_Ax1 A1) const

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

◆ Mirrored() [3/3]

gp_Sphere gp_Sphere::Mirrored ( const gp_Ax2 A2) const

Performs the symmetrical transformation of a sphere with respect to a plane. The axis placement A2 locates the plane of the of the symmetry : (Location, XDirection, YDirection).

◆ Position()

const gp_Ax3& gp_Sphere::Position ( ) const

Returns the local coordinates system of the sphere.

◆ Radius()

Standard_Real gp_Sphere::Radius ( ) const

Returns the radius of the sphere.

◆ Rotate()

void gp_Sphere::Rotate ( const gp_Ax1 A1,
const Standard_Real  Ang 
)

◆ Rotated()

gp_Sphere gp_Sphere::Rotated ( const gp_Ax1 A1,
const Standard_Real  Ang 
) const

Rotates a sphere. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.

◆ Scale()

void gp_Sphere::Scale ( const gp_Pnt P,
const Standard_Real  S 
)

◆ Scaled()

gp_Sphere gp_Sphere::Scaled ( const gp_Pnt P,
const Standard_Real  S 
) const

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

◆ SetLocation()

void gp_Sphere::SetLocation ( const gp_Pnt Loc)

Changes the center of the sphere.

◆ SetPosition()

void gp_Sphere::SetPosition ( const gp_Ax3 A3)

Changes the local coordinate system of the sphere.

◆ SetRadius()

void gp_Sphere::SetRadius ( const Standard_Real  R)

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

◆ Transform()

void gp_Sphere::Transform ( const gp_Trsf T)

◆ Transformed()

gp_Sphere gp_Sphere::Transformed ( const gp_Trsf T) const

Transforms a sphere with the transformation T from class Trsf.

◆ Translate() [1/2]

void gp_Sphere::Translate ( const gp_Vec V)

◆ Translate() [2/2]

void gp_Sphere::Translate ( const gp_Pnt P1,
const gp_Pnt P2 
)

◆ Translated() [1/2]

gp_Sphere gp_Sphere::Translated ( const gp_Vec V) const

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

◆ Translated() [2/2]

gp_Sphere gp_Sphere::Translated ( const gp_Pnt P1,
const gp_Pnt P2 
) const

Translates a sphere from the point P1 to the point P2.

◆ UReverse()

void gp_Sphere::UReverse ( )

Reverses the U parametrization of the sphere reversing the YAxis.

◆ Volume()

Standard_Real gp_Sphere::Volume ( ) const

Computes the volume of the sphere.

◆ VReverse()

void gp_Sphere::VReverse ( )

Reverses the V parametrization of the sphere reversing the ZAxis.

◆ XAxis()

gp_Ax1 gp_Sphere::XAxis ( ) const

Returns the axis X of the sphere.

◆ YAxis()

gp_Ax1 gp_Sphere::YAxis ( ) const

Returns the axis Y of the sphere.


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