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_Ax1 &	Axis () 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.X2 + A2.Y2 + 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_Pnt &	Location () const
	returns the "Location" point of the cone. More...

const gp_Ax3 &	Position () 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:

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 ( )

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:

gp_Cone.hxx

Public Member Functions