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
constexpr	gp_Cone () noexcept
	Creates an indefinite Cone.

constexpr	gp_Cone (const gp_Ax3 &theA3, const double theAng, const double 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.

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

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

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

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

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.

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

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

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

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

void	Coefficients (double &theA1, double &theA2, double &theA3, double &theB1, double &theB2, double &theB3, double &theC1, double &theC2, double &theC3, double &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.

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

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

constexpr double	RefRadius () const noexcept
	Returns the radius of the cone in the reference plane.

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

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

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

void	Mirror (const gp_Pnt &theP) noexcept

gp_Cone	Mirrored (const gp_Pnt &theP) const noexcept
	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) noexcept

gp_Cone	Mirrored (const gp_Ax1 &theA1) const noexcept
	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) noexcept

gp_Cone	Mirrored (const gp_Ax2 &theA2) const noexcept
	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 double theAng)

gp_Cone	Rotated (const gp_Ax1 &theA1, const double 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 double theS)

gp_Cone	Scaled (const gp_Pnt &theP, const double 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.

constexpr void	Translate (const gp_Vec &theV) noexcept

constexpr gp_Cone	Translated (const gp_Vec &theV) const noexcept
	Translates a cone in the direction of the vector theV. The magnitude of the translation is the vector's magnitude.

constexpr void	Translate (const gp_Pnt &theP1, const gp_Pnt &theP2) noexcept

constexpr gp_Cone	Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const noexcept
	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]

constexpr gp_Cone::gp_Cone ( )

inlineconstexprnoexcept

Creates an indefinite Cone.

◆ gp_Cone() [2/2]

constexpr gp_Cone::gp_Cone	(	const gp_Ax3 &	theA3,
		const double	theAng,
		const double	theRadius )

inlineconstexpr

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
std::abs(theAng) < Resolution from gp or std::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()

constexpr const gp_Ax1 & gp_Cone::Axis ( ) const

inlineconstexprnoexcept

returns the symmetry axis of the cone.

◆ Coefficients()

void gp_Cone::Coefficients	(	double &	theA1,
		double &	theA2,
		double &	theA3,
		double &	theB1,
		double &	theB2,
		double &	theB3,
		double &	theC1,
		double &	theC2,
		double &	theC3,
		double &	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()

bool gp_Cone::Direct ( ) const

inline

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

◆ Location()

constexpr const gp_Pnt & gp_Cone::Location ( ) const

inlineconstexprnoexcept

returns the "Location" point of the cone.

◆ Mirror() [1/3]

void gp_Cone::Mirror ( const gp_Ax1 & theA1 )

noexcept

◆ Mirror() [2/3]

void gp_Cone::Mirror ( const gp_Ax2 & theA2 )

noexcept

◆ Mirror() [3/3]

void gp_Cone::Mirror ( const gp_Pnt & theP )

noexcept

◆ Mirrored() [1/3]

gp_Cone gp_Cone::Mirrored ( const gp_Ax1 & theA1 ) const

noexcept

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

noexcept

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

noexcept

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

◆ Position()

constexpr const gp_Ax3 & gp_Cone::Position ( ) const

inlineconstexprnoexcept

Returns the local coordinates system of the cone.

◆ RefRadius()

constexpr double gp_Cone::RefRadius ( ) const

inlineconstexprnoexcept

Returns the radius of the cone in the reference plane.

◆ Rotate()

void gp_Cone::Rotate	(	const gp_Ax1 &	theA1,
		const double	theAng )

inline

◆ Rotated()

gp_Cone gp_Cone::Rotated	(	const gp_Ax1 &	theA1,
		const double	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 double	theS )

inline

◆ Scaled()

gp_Cone gp_Cone::Scaled	(	const gp_Pnt &	theP,
		const double	theS ) const

inline

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

◆ SemiAngle()

constexpr double gp_Cone::SemiAngle ( ) const

inlineconstexprnoexcept

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()

constexpr void gp_Cone::SetLocation ( const gp_Pnt & theLoc )

inlineconstexprnoexcept

Changes the location of the cone.

◆ SetPosition()

constexpr void gp_Cone::SetPosition ( const gp_Ax3 & theA3 )

inlineconstexprnoexcept

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

◆ SetRadius()

void gp_Cone::SetRadius ( const double 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 double theAng )

inline

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

constexpr void gp_Cone::Translate	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 )

inlineconstexprnoexcept

◆ Translate() [2/2]

constexpr void gp_Cone::Translate ( const gp_Vec & theV )

inlineconstexprnoexcept

◆ Translated() [1/2]

constexpr gp_Cone gp_Cone::Translated	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 ) const

inlineconstexprnoexcept

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

◆ Translated() [2/2]

constexpr gp_Cone gp_Cone::Translated ( const gp_Vec & theV ) const

inlineconstexprnoexcept

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

◆ UReverse()

constexpr void gp_Cone::UReverse ( )

inlineconstexprnoexcept

Reverses the U parametrization of the cone reversing the YAxis.

◆ VReverse()

constexpr void gp_Cone::VReverse ( )

inlineconstexprnoexcept

Reverses the V parametrization of the cone reversing the ZAxis.

◆ XAxis()

constexpr gp_Ax1 gp_Cone::XAxis ( ) const

inlineconstexprnoexcept

Returns the XAxis of the reference plane.

◆ YAxis()

constexpr gp_Ax1 gp_Cone::YAxis ( ) const

inlineconstexprnoexcept

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()