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.

	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.

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.

void	SetLocation (const gp_Pnt &theLoc)
	Changes the location of the cone.

void	SetPosition (const gp_Ax3 &theA3)
	Changes the local coordinate system of the cone. This coordinate system defines the reference plane of the cone.

void	SetRadius (const Standard_Real theR)
	Changes the radius of the cone in the reference plane of the cone. Raised if theR < 0.0.

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.

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.

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

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

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

const gp_Ax1 &	Axis () const
	returns the symmetry axis of the cone.

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.X2 + theA2.Y2 + theA3.Z**2 + 2.(theB1.X.Y + theB2.X.Z + theB3.Y.Z) + 2.(theC1.X + theC2.Y + theC3.Z) + theD = 0.0.

const gp_Pnt &	Location () const
	returns the "Location" point of the cone.

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

Standard_Real	RefRadius () const
	Returns the radius of the cone in the reference plane.

Standard_Real	SemiAngle () const
	Returns the half-angle at the apex of this cone. Attention! Semi-angle can be negative.

gp_Ax1	XAxis () const
	Returns the XAxis of the reference plane.

gp_Ax1	YAxis () const
	Returns the YAxis of the reference plane.

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.

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.

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).

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.

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.

void	Transform (const gp_Trsf &theT)

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

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.

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.

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:

the "main Axis" of the coordinate system is the axis of revolution of the cone,
the plane defined by the origin, the "X Direction" and the "Y Direction" of the coordinate system is the reference plane of the cone; the intersection of the cone with this reference plane is a circle of radius equal to the reference radius, if the half-angle is positive, the apex of the cone is on the negative side of the "main Axis" of the coordinate system. If the half-angle is negative, the apex is on the positive side. This coordinate system is the "local coordinate system" of the cone. Note: when a gp_Cone cone is converted into a Geom_ConicalSurface cone, 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 cone and the origin of the parameters,
its implicit orientation (right-handed or left-handed) gives the orientation (direct or indirect) of the Geom_ConicalSurface cone. See Also gce_MakeCone which provides functions for more complex cone constructions Geom_ConicalSurface which provides additional functions for constructing cones and works, in particular, with the parametric equations of cones gp_Ax3

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:

gp_Cone.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Cone() [1/2]

◆ gp_Cone() [2/2]

Member Function Documentation

◆ Apex()

◆ Axis()

◆ Coefficients()

◆ Direct()

◆ Location()

◆ Mirror() [1/3]

◆ Mirror() [2/3]

◆ Mirror() [3/3]

◆ Mirrored() [1/3]

◆ Mirrored() [2/3]

◆ Mirrored() [3/3]

◆ Position()

◆ RefRadius()

◆ Rotate()

◆ Rotated()

◆ Scale()

◆ Scaled()

◆ SemiAngle()

◆ SetAxis()

◆ SetLocation()

◆ SetPosition()

◆ SetRadius()

◆ SetSemiAngle()

◆ Transform()

◆ Transformed()

◆ Translate() [1/2]

◆ Translate() [2/2]

◆ Translated() [1/2]

◆ Translated() [2/2]

◆ UReverse()

◆ VReverse()

◆ XAxis()

◆ YAxis()