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

Defines an infinite conical surface. A cone is defined by its half-angle (can be negative) at the apex and positioned in space with a coordinate system (a gp_Ax3 object) and a "reference radius" where: More...

#include <gp_Cone.hxx>

Public Member Functions

 gp_Cone ()
 Creates an indefinite Cone. More...
 
 gp_Cone (const gp_Ax3 &A3, const Standard_Real Ang, const Standard_Real Radius)
 Creates an infinite conical surface. A3 locates the cone in the space and defines the reference plane of the surface. Ang is the conical surface semi-angle. Its absolute value is in range ]0, PI/2[. Radius is the radius of the circle in the reference plane of the cone. Raises ConstructionError. More...
 
void SetAxis (const gp_Ax1 &A1)
 Changes the symmetry axis of the cone. Raises ConstructionError the direction of A1 is parallel to the "XDirection" of the coordinate system of the cone. More...
 
void SetLocation (const gp_Pnt &Loc)
 Changes the location of the cone. More...
 
void SetPosition (const gp_Ax3 &A3)
 Changes the local coordinate system of the cone. This coordinate system defines the reference plane of the cone. More...
 
void SetRadius (const Standard_Real R)
 Changes the radius of the cone in the reference plane of the cone. Raised if R < 0.0. More...
 
void SetSemiAngle (const Standard_Real Ang)
 Changes the semi-angle of the cone. Semi-angle can be negative. Its absolute value Abs(Ang) is in range ]0,PI/2[. Raises ConstructionError if Abs(Ang) < Resolution from gp or Abs(Ang) >= PI/2 - Resolution. More...
 
gp_Pnt Apex () const
 Computes the cone's top. The Apex of the cone is on the negative side of the symmetry axis of the cone. More...
 
void UReverse ()
 Reverses the U parametrization of the cone reversing the YAxis. More...
 
void VReverse ()
 Reverses the V parametrization of the cone reversing the ZAxis. More...
 
Standard_Boolean Direct () const
 Returns true if the local coordinate system of this cone is right-handed. More...
 
const gp_Ax1Axis () const
 returns the symmetry axis of the cone. 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...
 
const gp_PntLocation () const
 returns the "Location" point of the cone. More...
 
const gp_Ax3Position () const
 Returns the local coordinates system of the cone. More...
 
Standard_Real RefRadius () const
 Returns the radius of the cone in the reference plane. More...
 
Standard_Real SemiAngle () const
 Returns the half-angle at the apex of this cone. Attention! Semi-angle can be negative. More...
 
gp_Ax1 XAxis () const
 Returns the XAxis of the reference plane. More...
 
gp_Ax1 YAxis () const
 Returns the YAxis of the reference plane. More...
 
void Mirror (const gp_Pnt &P)
 
gp_Cone Mirrored (const gp_Pnt &P) const
 Performs the symmetrical transformation of a cone with respect to the point P which is the center of the symmetry. More...
 
void Mirror (const gp_Ax1 &A1)
 
gp_Cone Mirrored (const gp_Ax1 &A1) const
 Performs the symmetrical transformation of a cone with respect to an axis placement which is the axis of the symmetry. More...
 
void Mirror (const gp_Ax2 &A2)
 
gp_Cone Mirrored (const gp_Ax2 &A2) const
 Performs the symmetrical transformation of a cone 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_Cone Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const
 Rotates a cone. 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_Cone Scaled (const gp_Pnt &P, const Standard_Real S) const
 Scales a cone. S is the scaling value. The absolute value of S is used to scale the cone. More...
 
void Transform (const gp_Trsf &T)
 
gp_Cone Transformed (const gp_Trsf &T) const
 Transforms a cone with the transformation T from class Trsf. More...
 
void Translate (const gp_Vec &V)
 
gp_Cone Translated (const gp_Vec &V) const
 Translates a cone 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_Cone Translated (const gp_Pnt &P1, const gp_Pnt &P2) const
 Translates a cone from the point P1 to the point P2. More...
 

Detailed Description

Defines an infinite conical surface. A cone is defined by its half-angle (can be negative) at the apex and positioned in space with a coordinate system (a gp_Ax3 object) and a "reference radius" where:

Constructor & Destructor Documentation

◆ gp_Cone() [1/2]

gp_Cone::gp_Cone ( )

Creates an indefinite Cone.

◆ gp_Cone() [2/2]

gp_Cone::gp_Cone ( const gp_Ax3 A3,
const Standard_Real  Ang,
const Standard_Real  Radius 
)

Creates an infinite conical surface. A3 locates the cone in the space and defines the reference plane of the surface. Ang is the conical surface semi-angle. Its absolute value is in range ]0, PI/2[. Radius is the radius of the circle in the reference plane of the cone. Raises ConstructionError.

  • if Radius is lower than 0.0
  • Abs(Ang) < Resolution from gp or Abs(Ang) >= (PI/2) - Resolution.

Member Function Documentation

◆ Apex()

gp_Pnt gp_Cone::Apex ( ) const

Computes the cone's top. The Apex of the cone is on the negative side of the symmetry axis of the cone.

◆ Axis()

const gp_Ax1& gp_Cone::Axis ( ) const

returns the symmetry axis of the cone.

◆ Coefficients()

void gp_Cone::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_Cone::Direct ( ) const

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

◆ Location()

const gp_Pnt& gp_Cone::Location ( ) const

returns the "Location" point of the cone.

◆ Mirror() [1/3]

void gp_Cone::Mirror ( const gp_Pnt P)

◆ Mirror() [2/3]

void gp_Cone::Mirror ( const gp_Ax1 A1)

◆ Mirror() [3/3]

void gp_Cone::Mirror ( const gp_Ax2 A2)

◆ Mirrored() [1/3]

gp_Cone gp_Cone::Mirrored ( const gp_Pnt P) const

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

◆ Mirrored() [2/3]

gp_Cone gp_Cone::Mirrored ( const gp_Ax1 A1) const

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

◆ Mirrored() [3/3]

gp_Cone gp_Cone::Mirrored ( const gp_Ax2 A2) const

Performs the symmetrical transformation of a cone 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_Cone::Position ( ) const

Returns the local coordinates system of the cone.

◆ RefRadius()

Standard_Real gp_Cone::RefRadius ( ) const

Returns the radius of the cone in the reference plane.

◆ Rotate()

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

◆ Rotated()

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

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

◆ Scale()

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

◆ Scaled()

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

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

◆ SemiAngle()

Standard_Real gp_Cone::SemiAngle ( ) const

Returns the half-angle at the apex of this cone. Attention! Semi-angle can be negative.

◆ SetAxis()

void gp_Cone::SetAxis ( const gp_Ax1 A1)

Changes the symmetry axis of the cone. Raises ConstructionError the direction of A1 is parallel to the "XDirection" of the coordinate system of the cone.

◆ SetLocation()

void gp_Cone::SetLocation ( const gp_Pnt Loc)

Changes the location of the cone.

◆ SetPosition()

void gp_Cone::SetPosition ( const gp_Ax3 A3)

Changes the local coordinate system of the cone. This coordinate system defines the reference plane of the cone.

◆ SetRadius()

void gp_Cone::SetRadius ( const Standard_Real  R)

Changes the radius of the cone in the reference plane of the cone. Raised if R < 0.0.

◆ SetSemiAngle()

void gp_Cone::SetSemiAngle ( const Standard_Real  Ang)

Changes the semi-angle of the cone. Semi-angle can be negative. Its absolute value Abs(Ang) is in range ]0,PI/2[. Raises ConstructionError if Abs(Ang) < Resolution from gp or Abs(Ang) >= PI/2 - Resolution.

◆ Transform()

void gp_Cone::Transform ( const gp_Trsf T)

◆ Transformed()

gp_Cone gp_Cone::Transformed ( const gp_Trsf T) const

Transforms a cone with the transformation T from class Trsf.

◆ Translate() [1/2]

void gp_Cone::Translate ( const gp_Vec V)

◆ Translate() [2/2]

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

◆ Translated() [1/2]

gp_Cone gp_Cone::Translated ( const gp_Vec V) const

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

◆ Translated() [2/2]

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

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

◆ UReverse()

void gp_Cone::UReverse ( )

Reverses the U parametrization of the cone reversing the YAxis.

◆ VReverse()

void gp_Cone::VReverse ( )

Reverses the V parametrization of the cone reversing the ZAxis.

◆ XAxis()

gp_Ax1 gp_Cone::XAxis ( ) const

Returns the XAxis of the reference plane.

◆ YAxis()

gp_Ax1 gp_Cone::YAxis ( ) const

Returns the YAxis of the reference plane.


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