Open CASCADE Technology  7.6.0.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 &theA3, const Standard_Real theAng, const Standard_Real theRadius)
 Creates an infinite conical surface. theA3 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[. theRadius is the radius of the circle in the reference plane of the cone. theRaises ConstructionError. More...
 
void SetAxis (const gp_Ax1 &theA1)
 Changes the symmetry axis of the cone. Raises ConstructionError the direction of theA1 is parallel to the "XDirection" of the coordinate system of the cone. More...
 
void SetLocation (const gp_Pnt &theLoc)
 Changes the location of the cone. More...
 
void SetPosition (const gp_Ax3 &theA3)
 Changes the local coordinate system of the cone. This coordinate system defines the reference plane of the cone. More...
 
void SetRadius (const Standard_Real theR)
 Changes the radius of the cone in the reference plane of the cone. Raised if theR < 0.0. More...
 
void SetSemiAngle (const Standard_Real theAng)
 Changes the semi-angle of the cone. Semi-angle can be negative. Its absolute value Abs(theAng) is in range ]0,PI/2[. Raises ConstructionError if Abs(theAng) < Resolution from gp or Abs(theAng) >= 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 &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. 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 &theP)
 
gp_Cone Mirrored (const gp_Pnt &theP) const
 Performs the symmetrical transformation of a cone with respect to the point theP which is the center of the symmetry. More...
 
void Mirror (const gp_Ax1 &theA1)
 
gp_Cone Mirrored (const gp_Ax1 &theA1) 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 &theA2)
 
gp_Cone Mirrored (const gp_Ax2 &theA2) const
 Performs the symmetrical transformation of a cone with respect to a plane. The axis placement theA2 locates the plane of the of the symmetry : (Location, XDirection, YDirection). More...
 
void Rotate (const gp_Ax1 &theA1, const Standard_Real theAng)
 
gp_Cone Rotated (const gp_Ax1 &theA1, const Standard_Real theAng) const
 Rotates a cone. theA1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...
 
void Scale (const gp_Pnt &theP, const Standard_Real theS)
 
gp_Cone Scaled (const gp_Pnt &theP, const Standard_Real theS) const
 Scales a cone. theS is the scaling value. The absolute value of theS is used to scale the cone. More...
 
void Transform (const gp_Trsf &theT)
 
gp_Cone Transformed (const gp_Trsf &theT) const
 Transforms a cone with the transformation theT from class Trsf. More...
 
void Translate (const gp_Vec &theV)
 
gp_Cone Translated (const gp_Vec &theV) const
 Translates a cone in the direction of the vector theV. The magnitude of the translation is the vector's magnitude. More...
 
void Translate (const gp_Pnt &theP1, const gp_Pnt &theP2)
 
gp_Cone Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) 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 ( )
inline

Creates an indefinite Cone.

◆ gp_Cone() [2/2]

gp_Cone::gp_Cone ( const gp_Ax3 theA3,
const Standard_Real  theAng,
const Standard_Real  theRadius 
)
inline

Creates an infinite conical surface. theA3 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[. theRadius is the radius of the circle in the reference plane of the cone. theRaises ConstructionError.

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

Member Function Documentation

◆ Apex()

gp_Pnt gp_Cone::Apex ( ) const
inline

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
inline

returns the symmetry axis of the cone.

◆ Coefficients()

void gp_Cone::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_Cone::Direct ( ) const
inline

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

◆ Location()

const gp_Pnt& gp_Cone::Location ( ) const
inline

returns the "Location" point of the cone.

◆ Mirror() [1/3]

void gp_Cone::Mirror ( const gp_Ax1 theA1)

◆ Mirror() [2/3]

void gp_Cone::Mirror ( const gp_Ax2 theA2)

◆ Mirror() [3/3]

void gp_Cone::Mirror ( const gp_Pnt theP)

◆ Mirrored() [1/3]

gp_Cone gp_Cone::Mirrored ( const gp_Ax1 theA1) const

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

◆ Mirrored() [2/3]

gp_Cone gp_Cone::Mirrored ( const gp_Ax2 theA2) const

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

◆ Mirrored() [3/3]

gp_Cone gp_Cone::Mirrored ( const gp_Pnt theP) const

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

◆ Position()

const gp_Ax3& gp_Cone::Position ( ) const
inline

Returns the local coordinates system of the cone.

◆ RefRadius()

Standard_Real gp_Cone::RefRadius ( ) const
inline

Returns the radius of the cone in the reference plane.

◆ Rotate()

void gp_Cone::Rotate ( const gp_Ax1 theA1,
const Standard_Real  theAng 
)
inline

◆ Rotated()

gp_Cone gp_Cone::Rotated ( const gp_Ax1 theA1,
const Standard_Real  theAng 
) const
inline

Rotates a cone. theA1 is the axis of the rotation. Ang is the angular value of the rotation in radians.

◆ Scale()

void gp_Cone::Scale ( const gp_Pnt theP,
const Standard_Real  theS 
)
inline

◆ Scaled()

gp_Cone gp_Cone::Scaled ( const gp_Pnt theP,
const Standard_Real  theS 
) const
inline

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

◆ SemiAngle()

Standard_Real gp_Cone::SemiAngle ( ) const
inline

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

◆ SetAxis()

void gp_Cone::SetAxis ( const gp_Ax1 theA1)
inline

Changes the symmetry axis of the cone. Raises ConstructionError the direction of theA1 is parallel to the "XDirection" of the coordinate system of the cone.

◆ SetLocation()

void gp_Cone::SetLocation ( const gp_Pnt theLoc)
inline

Changes the location of the cone.

◆ SetPosition()

void gp_Cone::SetPosition ( const gp_Ax3 theA3)
inline

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  theR)
inline

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

◆ SetSemiAngle()

void gp_Cone::SetSemiAngle ( const Standard_Real  theAng)
inline

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

◆ Transform()

void gp_Cone::Transform ( const gp_Trsf theT)
inline

◆ Transformed()

gp_Cone gp_Cone::Transformed ( const gp_Trsf theT) const
inline

Transforms a cone with the transformation theT from class Trsf.

◆ Translate() [1/2]

void gp_Cone::Translate ( const gp_Pnt theP1,
const gp_Pnt theP2 
)
inline

◆ Translate() [2/2]

void gp_Cone::Translate ( const gp_Vec theV)
inline

◆ Translated() [1/2]

gp_Cone gp_Cone::Translated ( const gp_Pnt theP1,
const gp_Pnt theP2 
) const
inline

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

◆ Translated() [2/2]

gp_Cone gp_Cone::Translated ( const gp_Vec theV) const
inline

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

◆ UReverse()

void gp_Cone::UReverse ( )
inline

Reverses the U parametrization of the cone reversing the YAxis.

◆ VReverse()

void gp_Cone::VReverse ( )
inline

Reverses the V parametrization of the cone reversing the ZAxis.

◆ XAxis()

gp_Ax1 gp_Cone::XAxis ( ) const
inline

Returns the XAxis of the reference plane.

◆ YAxis()

gp_Ax1 gp_Cone::YAxis ( ) const
inline

Returns the YAxis of the reference plane.


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