OdGeCone Class Reference

#include <GeCone.h>

Inheritance diagram for OdGeCone:

Public Member Functions
	OdGeCone ()
	OdGeCone (double cosineAngle, double sineAngle, const OdGePoint3d &baseOrigin, double baseRadius, const OdGeVector3d &axisOfSymmetry)
	OdGeCone (double cosineAngle, double sineAngle, const OdGePoint3d &baseOrigin, double baseRadius, const OdGeVector3d &axisOfSymmetry, const OdGeVector3d &refAxis, const OdGeInterval &height, double startAng, double endAng)
	OdGeCone (const OdGeCone &cone)
double	baseRadius () const
OdGePoint3d	baseCenter () const
void	getAngles (double &startAng, double &endAng) const
double	halfAngle () const
void	getHalfAngle (double &cosineAngle, double &sineAngle) const
void	getHeight (OdGeInterval &height) const
double	heightAt (double u) const
OdGeVector3d	axisOfSymmetry () const
OdGeVector3d	refAxis () const
OdGePoint3d	apex () const
bool	isClosed (const OdGeTol &tol=OdGeContext::gTol) const
bool	isOuterNormal () const
OdGeCone &	setBaseRadius (double baseRadius)
OdGeCone &	setAngles (double startAng, double endAng)
OdGeCone &	setHeight (const OdGeInterval &height)
OdGeCone &	set (double cosineAngle, double sineAngle, const OdGePoint3d &baseCenter, double baseRadius, const OdGeVector3d &axisOfSymmetry)
OdGeCone &	set (double cosineAngle, double sineAngle, const OdGePoint3d &baseCenter, double baseRadius, const OdGeVector3d &axisOfSymmetry, const OdGeVector3d &refAxis, const OdGeInterval &height, double startAng, double endAng)
OdGeCone &	operator= (const OdGeCone &cone)
bool	intersectWith (const OdGeLinearEnt3d &linEnt, int &numInt, OdGePoint3d &p1, OdGePoint3d &p2, const OdGeTol &tol=OdGeContext::gTol) const
Public Member Functions inherited from OdGeSurface
OdGePoint2d	paramOf (const OdGePoint3d &point, const OdGeTol &tol=OdGeContext::gTol) const
	TD_USING (OdGeEntity3d::isOn)
bool	isOn (const OdGePoint3d &point, OdGePoint2d &paramPoint, const OdGeTol &tol=OdGeContext::gTol) const
OdGePoint3d	closestPointTo (const OdGePoint3d &point, const OdGeTol &tol=OdGeContext::gTol) const
void	getClosestPointTo (const OdGePoint3d &point, OdGePointOnSurface &pntOnSurface, const OdGeTol &tol=OdGeContext::gTol) const
double	distanceTo (const OdGePoint3d &point, const OdGeTol &tol=OdGeContext::gTol) const
bool	isNormalReversed () const
OdGeSurface &	reverseNormal ()
void	getEnvelope (OdGeInterval &intrvlU, OdGeInterval &intrvlV) const
bool	isClosedInU (const OdGeTol &tol=OdGeContext::gTol) const
bool	isClosedInV (const OdGeTol &tol=OdGeContext::gTol) const
OdGePoint3d	evalPoint (const OdGePoint2d &param) const
OdGePoint3d	evalPoint (const OdGePoint2d &param, int numDeriv, OdGeVector3dArray &derivatives) const
OdGePoint3d	evalPoint (const OdGePoint2d &param, int numDeriv, OdGeVector3dArray &derivatives, OdGeVector3d &normal) const
OdGeSurface &	operator= (const OdGeSurface &surf)
bool	project (const OdGePoint3d &p, OdGePoint3d &projP, const OdGeTol &tol=OdGeContext::gTol) const
bool	getReparameterization (bool &swapUV, double &uCoeffA, double &vCoeffA, double &uCoeffB, double &vCoeffB) const
void	setReparameterization (bool swapUV=false, double uCoeffA=1., double vCoeffA=1., double uCoeffB=0., double vCoeffB=0.)
void	getImplicitEnvelope (OdGeInterval &implicitIntrvlU, OdGeInterval &implicitIntrvlV) const
bool	setEnvelope (const OdGeInterval &realIntrvlU, const OdGeInterval &realIntrvlV)
Public Member Functions inherited from OdGeEntity3d
	ODRX_HEAP_OPERATORS ()
	~OdGeEntity3d ()
bool	isKindOf (OdGe::EntityId entType) const
OdGe::EntityId	type () const
OdGeEntity3d *	copy () const
OdGeEntity3d &	operator= (const OdGeEntity3d &entity)
bool	operator== (const OdGeEntity3d &entity) const
bool	operator!= (const OdGeEntity3d &entity) const
bool	isEqualTo (const OdGeEntity3d &object, const OdGeTol &tol=OdGeContext::gTol) const
OdGeEntity3d &	transformBy (const OdGeMatrix3d &xfm)
OdGeEntity3d &	translateBy (const OdGeVector3d &translateVec)
OdGeEntity3d &	rotateBy (double angle, const OdGeVector3d &vect, const OdGePoint3d &basePoint=OdGePoint3d::kOrigin)
OdGeEntity3d &	mirror (const OdGePlane &plane)
OdGeEntity3d &	scaleBy (double scaleFactor, const OdGePoint3d &basePoint=OdGePoint3d::kOrigin)
bool	isOn (const OdGePoint3d &point, const OdGeTol &tol=OdGeContext::gTol) const

Additional Inherited Members
Protected Member Functions inherited from OdGeSurface
	OdGeSurface ()
	OdGeSurface (const OdGeSurface &surf)
Protected Member Functions inherited from OdGeEntity3d
	OdGeEntity3d ()
	OdGeEntity3d (const OdGeEntity3d &)
void	connectTo (OdGeEntity3dImpl *)

Detailed Description

This class represents cones with a circular base.

Remarks

A circular cone is defined by:

axis of symmetry height half angle (the angle between the generating line and the axis of symmetry) origin (a point on the axis of symmetry) radius at the origin

The cross section containing the origin is refered to as the base. The radius at the base cannot be zero.
This cone may extend on either side of the base.

The half angle is constrained to the interval (-OdaPI/2, OdaPI/2), and is measured from the symmetric axis of the cone. A negative angle results in an apex on the opposite direction of the symmetric axis.

Parameter V is the angle of revolution measured from the refAxis (an axis perpendicular to the axis of symmetry). For a closed cone, it defaults to [-OdaPI, OdaPI). The positive V direction is defined by applying the right hand rule along the axis of symmetry.
The surface is periodic in V with a period of Oda2PI.

Parameter U varies along the axis of symmetry. U is dimensionless and increases in the direction of the axis of symmetry. U = 0 corresponds to center of the cone base, and U = 1 corresponds to the cone apex.

[umin, umax] x [vmin, vmax] defines a four sided conical patch bounded by two straight lines (at angles vmin and vmax), and two circular arcs (at umin and umax). The following must be observed when defining a cone:

umin < umax |vmax - vmin| <= Oda2PI. baseRadius > 0.0

The height interval of this cone is specified relative to its origin (with the height increasing in the direction of the symmetric axis).

Corresponding C++ library: TD_Ge

<group OdGe_Classes>

See also

<link ge_OdGeCone.html, Working with Cones>

Definition at line 90 of file GeCone.h.

Constructor & Destructor Documentation

OdGeCone() [1/4]

OdGeCone::OdGeCone

(

)

Parameters

cosineAngle	[in] The cosine of the angle between the generating line and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line and the axis of symmetry.
baseOrigin	[in] Center of the base.
baseRadius	[in] Radius of the base.
axisOfSymmetry	[in] Axis of symmetry (rotation).
refAxis	[in] defines thegle 0 of circular base.
height	[in] Height interval of the cone.
startAng	[in] Start angle.
endAng	[in] End angle.

Remarks

The default constructor uses a half angle of 45°, a reference axis of (1,0,0), a baseOrigin of (0,0,0), and a base radius of 2.0.

All angles are expressed in radians.

OdGeCone() [2/4]

OdGeCone::OdGeCone	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	baseOrigin,
		double	baseRadius,
		const OdGeVector3d &	axisOfSymmetry
	)

OdGeCone() [3/4]

OdGeCone::OdGeCone	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	baseOrigin,
		double	baseRadius,
		const OdGeVector3d &	axisOfSymmetry,
		const OdGeVector3d &	refAxis,
		const OdGeInterval &	height,
		double	startAng,
		double	endAng
	)

OdGeCone() [4/4]

OdGeCone::OdGeCone

(

const OdGeCone &

cone

)

Member Function Documentation

apex()

OdGePoint3d OdGeCone::apex

(

)

const

Returns the apex of this cone.

axisOfSymmetry()

OdGeVector3d OdGeCone::axisOfSymmetry

(

)

const

Returns the axis of symmetry of this cone.

baseCenter()

OdGePoint3d OdGeCone::baseCenter

(

)

const

Returns the center of the base.

baseRadius()

double OdGeCone::baseRadius

(

)

const

Returns the base radius of this cone.

getAngles()

void OdGeCone::getAngles	(	double &	startAng,
		double &	endAng
	)		const

Returns the starting and ending angles of this cone.

Parameters

startAng	[out] Receives the start angle.
endAng	[out] Receives the end angle.

Remarks

All angles are expressed in radians.

getHalfAngle()

void OdGeCone::getHalfAngle	(	double &	cosineAngle,
		double &	sineAngle
	)		const

Returns the cosine and the sine of the angle between the generating line and the axis of symmetry.

Parameters

cosineAngle	[out] Receives the cosine of the angle.
sineAngle	[out] Receives the sine of the angle.

getHeight()

void OdGeCone::getHeight

(

OdGeInterval &

height

)

const

Returns the interval of the axis of symmetry.

Parameters

height

[out] Receives the interval.

halfAngle()

double OdGeCone::halfAngle

(

)

const

Returns the angle between the generating line and the axis of symmetry.

heightAt()

double OdGeCone::heightAt

(

double

u

)

const

Returns the height of this cone corresponding to the specified position on the U-axis.

Remarks

Parameter U varies along the axis of symmetry. U is dimensionless, and increases in the direction of the axis of symmetry.

Parameters

u	[in] Position on the U-axis of this cone.

intersectWith()

bool OdGeCone::intersectWith	(	const OdGeLinearEnt3d &	linEnt,
		int &	numInt,
		OdGePoint3d &	p1,
		OdGePoint3d &	p2,
		const OdGeTol &	tol = OdGeContext::gTol
	)		const

Computes the intersection of this object with a linear entity.

isClosed()

bool OdGeCone::isClosed

(

const OdGeTol &

tol = OdGeContext::gTol

)

const

Returns true if and only if the base of this cone is a full circle within the specified tolerance.

Parameters

tol	[in] Geometric tolerance.

isOuterNormal()

bool OdGeCone::isOuterNormal

(

)

const

Returns true if and only if the normal to this surface is pointing outward.

operator=()

OdGeCone& OdGeCone::operator=

(

const OdGeCone &

cone

)

refAxis()

OdGeVector3d OdGeCone::refAxis

(

)

const

Returns the reference axis of this cone.

set() [1/2]

OdGeCone& OdGeCone::set	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	baseCenter,
		double	baseRadius,
		const OdGeVector3d &	axisOfSymmetry
	)

Sets the parameters for this cone according to the arguments, and returns a reference to this cone.

Parameters

cosineAngle	[in] The cosine of the angle between the generating line and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line and the axis of symmetry.
baseCenter	[in] Center of the base.
baseRadius	[in] Radius of the base.
axisOfSymmetry	[in] Axis of symmetry (rotation).

Remarks

All angles are expressed in radians.

set() [2/2]

OdGeCone& OdGeCone::set	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	baseCenter,
		double	baseRadius,
		const OdGeVector3d &	axisOfSymmetry,
		const OdGeVector3d &	refAxis,
		const OdGeInterval &	height,
		double	startAng,
		double	endAng
	)

Sets the parameters for this cone according to the arguments, and returns a reference to this cone.

Parameters

cosineAngle	[in] The cosine of the angle between the generating line and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line and the axis of symmetry.
baseCenter	[in] Center of the base.
baseRadius	[in] Radius of the base.
axisOfSymmetry	[in] Axis of symmetry (rotation).
refAxis	[in] defines thegle 0 of circular base.
height	[in] Height interval of this cone.
startAng	[in] Start angle.
endAng	[in] End angle.

Remarks

All angles are expressed in radians.

setAngles()

OdGeCone& OdGeCone::setAngles	(	double	startAng,
		double	endAng
	)

Sets the starting and ending angles of this cone.

Parameters

startAng	[in] Start angle.
endAng	[in] End angle.

Remarks

All angles are expressed in radians.

setBaseRadius()

OdGeCone& OdGeCone::setBaseRadius

(

double

baseRadius

)

Sets the base radius of this cone.

Parameters

baseRadius

[in] Radius of the base.

setHeight()

OdGeCone& OdGeCone::setHeight

(

const OdGeInterval &

height

)

Sets the height interval of this cone.

Parameters

height

[in] Height interval of this cone.

---

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

• GeCone.h