#include <GeEllipCone.h>

Inheritance diagram for OdGeEllipCone:

Public Member Functions
	OdGeEllipCone ()

	OdGeEllipCone (double cosineAngle, double sineAngle, const OdGePoint3d &origin, double minorRadius, double majorRadius, const OdGeVector3d &axisOfSymmetry)

	OdGeEllipCone (double cosineAngle, double sineAngle, const OdGePoint3d &baseOrigin, double minorRadius, double majorRadius, const OdGeVector3d &axisOfSymmetry, const OdGeVector3d &majorAxis, const OdGeInterval &height, double startAng, double endAng)

	OdGeEllipCone (const OdGeEllipCone &cone)

double	radiusRatio () const

double	minorRadius () const

double	majorRadius () 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	majorAxis () const

OdGeVector3d	minorAxis () const

OdGePoint3d	apex () const

bool	isClosed (const OdGeTol &tol=OdGeContext::gTol) const

bool	isOuterNormal () const

OdGeEllipCone &	setMinorRadius (double minorRadius)

OdGeEllipCone &	setMajorRadius (double majorRadius)

OdGeEllipCone &	setAngles (double startAng, double endAng)

OdGeEllipCone &	setHeight (const OdGeInterval &height)

double	getPoleParam () const

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

OdGeEllipCone &	set (double cosineAngle, double sineAngle, const OdGePoint3d &center, double minorRadius, double majorRadius, const OdGeVector3d &axisOfSymmetry)

OdGeEllipCone &	set (double cosineAngle, double sineAngle, const OdGePoint3d &center, double minorRadius, double majorRadius, const OdGeVector3d &axisOfSymmetry, const OdGeVector3d &majorAxis, const OdGeInterval &height, double startAng, double endAng)

OdGeEllipCone &	operator= (const OdGeEllipCone &cone)

double	getUParamScale () const

void	setUParamScale (double uScale=0.0)

Public Member Functions inherited from OdGeSurface
OdGePoint2d	paramOf (const OdGePoint3d &point, const OdGeTol &tol=OdGeContext::gTol) const

OdGePoint2d	paramOf (const OdGePoint3d &point, const OdGeUvBox *uvBox, 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

OdGePoint3d	closestPointTo (const OdGePoint3d &point, OdGePoint2d param, const OdGeUvBox uvBox, 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

bool	isLeftHanded () const

OdGeSurface &	reverseNormal ()

void	getEnvelope (OdGeInterval &intrvlU, OdGeInterval &intrvlV) const

void	getEnvelope (OdGeUvBox &uvbox) 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)

OdGeExtents3d	getGeomExtents (const OdGeUvBox &range=OdGeUvBox(), const OdGeMatrix3d *coordSystem=NULL) const

bool	project (const OdGePoint3d &p, OdGePoint3d &projP, const OdGeTol &tol=OdGeContext::gTol) const

bool	setEnvelope (const OdGeInterval &realIntrvlU, const OdGeInterval &realIntrvlV)

OdGeCurve3d *	makeIsoparamCurve (bool byU, double param) const

OdGeCurve3d *	makeIsoparamCurve (bool byU, double param, const OdGeInterval &interval) const

bool	getPoles (OdGeDoubleArray uParams, OdGeDoubleArray vParams, OdGePoint3dArray uPoints, OdGePoint3dArray vPoints, double tol=1e-13) const

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 right elliptical cones.

Remarks: A elliptical cone is defined by its axis of symmetry height sine and cosine of the half angle origin (a point on the axis of symmetry) major and minor radii at the origin major axis U parameter scale.

The cross section containing the origin is referred to as the base. The radii at the base cannot be zero. This elliptical cone may extend on either side of the base. This elliptical cone extends only on one direction from the apex, i.e. it is not a double elliptical cone.

The half angle is measured from the symmetric axis of this elliptical cone to a point on the major axis. If cosine of the half angle is positive, this elliptical cone is convex. If cosine of the half angle is negative, this elliptical cone is concave. If cosine and sine of the half angle have the same sign, the apex is on the opposite direction of the symmetric axis and radius increases along the symmetric axis. If cosine and sine of the half angle have different signs, the apex is on the direction of the symmetric axis and radius decreases along the symmetric axis. Both cosine and sine of the half angle can't be zeros.

Parameter V is the angle of revolution measured from the major axis to the axis of symmetry. For a closed elliptical cone, it defaults to [-OdaPI, OdaPI). The right hand rule applied along the direction of the axis of symmetry defines the positive direction of V. The surface is periodic in V with a period of Oda2PI.

The angle of point on an ellipse is measured by projecting the point on the ellipse perpendicular to major axis onto a circle which lies on the same plane, which center is the center of the ellipse and which radius is the major radius of the ellipse.

The angle between the major axis of the ellipse, and a vector from the center of the ellipse to the intersection point with the circle, measured counterclockwise, is the angle of the point on the ellipse.

The height interval of this elliptical cone is specified relative to its origin. Height increases in the direction of the symmetric axis. Height interval must be bounded.

Parameter U varies along the generating line. U is dimensionless, measured in U parameter scale (which equals to the major radius by default), multiplied by the absolute value of cosine of the half angle. U increases in the direction of the axis of symmetry. However, if U parameter scale is negative, U decreases in the direction of the axis of symmetry. U = 0 corresponds to the base of this elliptical cone.

If cosine and sine of the half angle have the same sign, U and height are less than zero at the apex. If cosine and sine of the half angle have different signs, U and height are greater than zero at the 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 an elliptical cone:

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

Corresponding C++ library: TD_Ge

See also: <link ge_OdGeCone, Working with Cones>

Definition at line 118 of file GeEllipCone.h.

Constructor & Destructor Documentation

◆ OdGeEllipCone() [1/4]

OdGeEllipCone::OdGeEllipCone ( )

Default constructor for the OdGeEllipCone class. Constructs an elliptical cone that uses a half angle of 45�, a base origin of (0.0, 0.0, 0.0), a base radii of 1.0, an axis of symmetry of (0.0, 1.0, 0.0), a major axis of (1.0, 0.0, 0.0) and minor axis of (0.0, 0.0, -1.0).

◆ OdGeEllipCone() [2/4]

OdGeEllipCone::OdGeEllipCone	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	origin,
		double	minorRadius,
		double	majorRadius,
		const OdGeVector3d &	axisOfSymmetry
	)

Constructor for the OdGeEllipCone class.

Parameters

cosineAngle	[in] The cosine of the angle between the generating line passing through the major axis, and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line passing through the major axis, and the axis of symmetry.
origin	[in] The origin point of this elliptical cone.
majorRadius	[in] The major radius of this elliptical cone.
minorRadius	[in] The minor radius of this elliptical cone.
axisOfSymmetry	[in] Axis of symmetry (rotation).

◆ OdGeEllipCone() [3/4]

OdGeEllipCone::OdGeEllipCone	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	baseOrigin,
		double	minorRadius,
		double	majorRadius,
		const OdGeVector3d &	axisOfSymmetry,
		const OdGeVector3d &	majorAxis,
		const OdGeInterval &	height,
		double	startAng,
		double	endAng
	)

Constructor for the OdGeEllipCone class.

Parameters

cosineAngle	[in] The cosine of the angle between the generating line passing through the major axis, and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line passing through the major axis, and the axis of symmetry.
baseOrigin	[in] The origin of this elliptical cone.
minorRadius	[in] The minor radius of this elliptical cone.
majorRadius	[in] The major radius of this elliptical cone.
axisOfSymmetry	[in] Axis of symmetry (rotation).
majorAxis	[in] The major axis of this elliptical cone.
height	[in] Height interval of this elliptical cone.
startAng	[in] Start angle of this elliptical cone.
endAng	[in] End angle of this elliptical cone.

Remarks: All angles are expressed in radians.

◆ OdGeEllipCone() [4/4]

OdGeEllipCone::OdGeEllipCone ( const OdGeEllipCone & cone )

Copy constructor for the OdGeEllipCone class.

Parameters

cone	[in] Cone to be copied.

Member Function Documentation

◆ apex()

OdGePoint3d OdGeEllipCone::apex ( ) const

Returns the apex of this elliptical cone.

Returns: The apex of this cone as an OdGePoint3d instance.

◆ axisOfSymmetry()

OdGeVector3d OdGeEllipCone::axisOfSymmetry ( ) const

Returns the axis of symmetry of this elliptical cone.

Returns: The axis of symmetry of this cone as an OdGeVector3d instance.

◆ baseCenter()

OdGePoint3d OdGeEllipCone::baseCenter ( ) const

Returns the center of the base.

Returns: The center of the base of this cone as an OdGePoint3d instance.

◆ getAngles()

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

Retrieves the starting and ending angles of this elliptical cone.

Parameters

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

Remarks: All angles are expressed in radians.

◆ getHalfAngle()

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

Retrieves the angle between the generating line passing through the major axis, and the axis of symmetry.

Remarks: The angle is returned "as is", the signs are preserved.

Parameters

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

◆ getHeight()

void OdGeEllipCone::getHeight ( OdGeInterval & height ) const

Retrieves the interval of the axis of symmetry.

Parameters

height [out] Receives the interval of the axis of symmetry.

◆ getPoleParam()

double OdGeEllipCone::getPoleParam ( ) const

Returns U parameter at the pole

Returns: U parameter at the pole of this cone as a double value.

◆ getUParamScale()

double OdGeEllipCone::getUParamScale ( ) const

Retrieves U parameter scale.

Returns: U parameter scale of this cone as a value of the double type.

◆ halfAngle()

double OdGeEllipCone::halfAngle ( ) const

Returns the angle between the generating line passing through the major axis, and the axis of symmetry.

Returns: The half angle of this cone as a double value.

◆ heightAt()

double OdGeEllipCone::heightAt ( double u ) const

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

Remarks: Parameter U varies along the generating line. U is dimensionless, measured in radius of the origin, and increases in the direction of the axis of symmetry.

Parameters

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

Returns: The height as a double value.

◆ intersectWith()

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

Checks if the cone intersects with a line entity, and returns the number of intersections and the points of intersection.

Parameters

linEnt	[in] Linear entity.
numInt	[out] Receives the number of intersections.
p1	[out] Receives the first intersection point.
p2	[out] Receives the second intersection point.
tol	[in] Geometric tolerance.

Remarks: p1 is valid only if numInt > 0. p2 is valid only if numInt > 1.

Returns: true if and only if this cylinder intersects with a line entity.

◆ isClosed()

bool OdGeEllipCone::isClosed ( const OdGeTol & tol = OdGeContext::gTol ) const

Checks if the base of this elliptical cone is a full ellipse within the specified tolerance.

Parameters

tol	[in] Geometric tolerance.

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

◆ isOuterNormal()

bool OdGeEllipCone::isOuterNormal ( ) const

Checks if the normal to this surface is pointing outward.

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

◆ majorAxis()

OdGeVector3d OdGeEllipCone::majorAxis ( ) const

Returns the major axis of this elliptical cone.

Returns: The major axis of this cone as an OdGeVector3d instance.

◆ majorRadius()

double OdGeEllipCone::majorRadius ( ) const

Returns the major radius of this elliptical cone.

Returns: The major radius of this cone as a double value.

◆ minorAxis()

OdGeVector3d OdGeEllipCone::minorAxis ( ) const

Returns the minor axis of this elliptical cone.

Returns: The minor axis of this cone as an OdGeVector3d instance.

◆ minorRadius()

double OdGeEllipCone::minorRadius ( ) const

Returns the minor radius of this elliptical cone.

Returns: The minor radius of this cone as a double value.

◆ operator=()

OdGeEllipCone & OdGeEllipCone::operator= ( const OdGeEllipCone & cone )

Assignment operator for the OdGeEllipCone object.

Parameters

cone	[in] Elliptical cone to be assigned.

Returns: A reference to this OdGeEllipCone object.

◆ radiusRatio()

double OdGeEllipCone::radiusRatio ( ) const

Returns the ratio of the minor to the major radius of this elliptical cone.

Returns: The ratio of radii of this cone as a double value.

◆ set() [1/2]

OdGeEllipCone & OdGeEllipCone::set	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	center,
		double	minorRadius,
		double	majorRadius,
		const OdGeVector3d &	axisOfSymmetry
	)

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

Parameters

cosineAngle	[in] The cosine of the angle between the generating line passing through the major axis, and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line passing through the major axis, and the axis of symmetry.
majorRadius	[in] The major radius of this elliptical cone.
minorRadius	[in] The minor radius of this elliptical cone.
center	[in] The origin of this elliptical cone.
axisOfSymmetry	[in] Axis of symmetry (rotation).

Remarks: All angles are expressed in radians.

Returns: A reference to this OdGeEllipCone object.

◆ set() [2/2]

OdGeEllipCone & OdGeEllipCone::set	(	double	cosineAngle,
		double	sineAngle,
		const OdGePoint3d &	center,
		double	minorRadius,
		double	majorRadius,
		const OdGeVector3d &	axisOfSymmetry,
		const OdGeVector3d &	majorAxis,
		const OdGeInterval &	height,
		double	startAng,
		double	endAng
	)

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

Parameters

cosineAngle	[in] The cosine of the angle between the generating line passing through the major axis, and the axis of symmetry.
sineAngle	[in] The sine of the angle between the generating line passing through the major axis, and the axis of symmetry.
majorRadius	[in] The major radius of this elliptical cone.
minorRadius	[in] The minor radius of this elliptical cone.
center	[in] The origin of this elliptical cone.
axisOfSymmetry	[in] Axis of symmetry (rotation).
majorAxis	[in] The major axis of this elliptical cone.
height	[in] Height interval of this elliptical cone.
startAng	[in] Starting angle of this elliptical cone.
endAng	[in] Ending angle of this elliptical cone in.

Returns: A reference to this OdGeEllipCone object.

Remarks: All angles are expressed in radians.

◆ setAngles()

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

Sets the starting and ending angles of this elliptical cone.

Parameters

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

Returns: A reference to this OdGeEllipCone object.

◆ setHeight()

OdGeEllipCone & OdGeEllipCone::setHeight ( const OdGeInterval & height )

Sets the height interval of this elliptical cone.

Parameters

height [in] Height interval of this elliptical cone.

Returns: A reference to this OdGeEllipCone object.

◆ setMajorRadius()

OdGeEllipCone & OdGeEllipCone::setMajorRadius ( double majorRadius )

Sets major radius of this elliptical cone.

Parameters

majorRadius [in] The major radius of this elliptical cone.

Returns: A reference to this OdGeEllipCone object.

◆ setMinorRadius()

OdGeEllipCone & OdGeEllipCone::setMinorRadius ( double minorRadius )

Sets minor radius of this elliptical cone.

Parameters

minorRadius [in] The minor radius of this elliptical cone.

Returns: A reference to this OdGeEllipCone object.

◆ setUParamScale()

void OdGeEllipCone::setUParamScale ( double uScale = 0.0 )

Sets U parameter scale according to the parameter.

Parameters

uScale [in] U parameter scale.

Remarks: U parameter scale can be negative. If uScale is zero, U parameter scale is reset to the major radius of this elliptical cone.

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

GeEllipCone.h

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ OdGeEllipCone() [1/4]

◆ OdGeEllipCone() [2/4]

◆ OdGeEllipCone() [3/4]

◆ OdGeEllipCone() [4/4]

Member Function Documentation

◆ apex()

◆ axisOfSymmetry()

◆ baseCenter()

◆ getAngles()

◆ getHalfAngle()

◆ getHeight()

◆ getPoleParam()

◆ getUParamScale()

◆ halfAngle()

◆ heightAt()

◆ intersectWith()

◆ isClosed()

◆ isOuterNormal()

◆ majorAxis()

◆ majorRadius()

◆ minorAxis()

◆ minorRadius()

◆ operator=()

◆ radiusRatio()

◆ set() [1/2]

◆ set() [2/2]

◆ setAngles()

◆ setHeight()

◆ setMajorRadius()

◆ setMinorRadius()

◆ setUParamScale()