Defines a conical surface. More...

Inheritance diagram for cadex.Geom.ConicalSurface:

Public Member Functions
	ConicalSurface (global::System.IntPtr cPtr, bool cMemoryOwn)

	ConicalSurface (cadex.Geom.Axis3d thePosition, double theSemiAngle, double theRadius)
	Constructor.

double	Angle ()
	Returns semi-angle.

double	SemiAngle ()
	Returns semi-angle.

double	Radius ()
	Returns reference radius.

Public Member Functions inherited from cadex.Geom.ElementarySurface
	ElementarySurface (global::System.IntPtr cPtr, bool cMemoryOwn)

cadex.Geom.Axis3d	Position ()
	Returns a surface axis.

cadex.Geom.Point	Location ()
	Returns origin point.

cadex.Geom.Direction	Direction ()
	Returns Z direction of the axis placement.

cadex.Geom.Point2d	Parameter (cadex.Geom.Point thePoint)
	Returns UV-point in surface parametric space for a 3D point.

Public Member Functions inherited from cadex.Geom.Surface
	Surface (global::System.IntPtr cPtr, bool cMemoryOwn)

cadex.Geom.SurfaceType	Type ()
	Returns a surface type.

cadex.Geom.Continuity	Continuity ()
	Returns a continuity type of the surface.

cadex.Geom.Point	Value (double theParameterU, double theParameterV)
	Evaluates a point on the surface.

cadex.Geom.Direction	Normal (double theParameterU, double theParameterV)

bool	IsUPeriodic ()
	Returns true if the surface is periodic in U direction.

bool	IsVPeriodic ()
	Returns true if the surface is periodic in V direction.

double	UMin ()
	Returns a minimum parameter of a definition domain in U direction.

double	UMax ()
	Returns a maximum parameter of a definition domain in U direction.

double	VMin ()
	Returns a minimum parameter of a definition domain in V direction.

double	VMax ()
	Returns a maximum parameter of a definition domain in V direction.

void	Domain (out double theUMin, out double theUMax, out double theVMin, out double theVMax)
	Returns a definition domain.

bool	IsTrimmed ()
	Returns whether surface is trimmed or not.

void	SetTrim (double theUFirst, double theULast, double theVFirst, double theVLast)
	Trims surface with [theUFirst, theULast] x [theVFirst, theVLast] section.

void	Transform (cadex.Geom.Transformation theTransformation)
	Applies transformation matrix to this object.

cadex.Geom.Surface	Transformed (cadex.Geom.Transformation theTransformation)
	Returns a copy this object after applying transformation.

void	D0 (double theParameterU, double theParameterV, cadex.Geom.Point theValue)

void	D1 (double theParameterU, double theParameterV, cadex.Geom.Point theValue, cadex.Geom.Vector theD1U, cadex.Geom.Vector theD1V)

void	D2 (double theParameterU, double theParameterV, cadex.Geom.Point theValue, cadex.Geom.Vector theD1U, cadex.Geom.Vector theD1V, cadex.Geom.Vector theD2U, cadex.Geom.Vector theD2V, cadex.Geom.Vector theD2UV)

bool	DN (double theParameterU, double theParameterV, uint theDerivativeOrder, cadex.Geom.Point theValue, cadex.Collections.VectorList theD)

void	Curvature (double theParameterU, double theParameterV, cadex.Geom.Direction thePrincipalMaxDirection, cadex.Geom.Direction thePrincipalMinDirection)

void	Curvature (double theParameterU, double theParameterV, cadex.Geom.Direction thePrincipalMaxDirection, cadex.Geom.Direction thePrincipalMinDirection, out double theMaxCurvature, out double theMinCurvature)

void	Mirror (cadex.Geom.Point thePoint)

void	Mirror (cadex.Geom.Axis1d theAxis)

void	Mirror (cadex.Geom.Axis3d theAxis)

cadex.Geom.Surface	Mirrored (cadex.Geom.Point theRef)

cadex.Geom.Surface	Mirrored (cadex.Geom.Axis1d theAxis)

cadex.Geom.Surface	Mirrored (cadex.Geom.Axis3d theAxis)

void	Rotate (cadex.Geom.Axis1d theAxis, double theAngle)

cadex.Geom.Surface	Rotated (cadex.Geom.Axis1d theAxis, double theAngle)

void	Translate (cadex.Geom.Vector theVector)

cadex.Geom.Surface	Translated (cadex.Geom.Vector theVector)

void	Scale (cadex.Geom.Point thePoint, double theScale)

cadex.Geom.Surface	Scaled (cadex.Geom.Point thePoint, double theScale)

Public Member Functions inherited from cadex.Geom.Geometry
	Geometry (global::System.IntPtr cPtr, bool cMemoryOwn)

Public Member Functions inherited from cadex.BaseObject
	BaseObject (global::System.IntPtr cPtr, bool cMemoryOwn)

void	Dispose ()

bool	IsNull ()

ulong	Id ()
	Return unique identifier of public object.

bool	IsEqual (cadex.BaseObject theObj)

override int	GetHashCode ()

override bool	Equals (System.Object o)

Static Public Member Functions
static new bool	CompareType (cadex.BaseObject theObject)

static new cadex.Geom.ConicalSurface	Cast (cadex.Geom.Surface theBase)

Static Public Member Functions inherited from cadex.Geom.ElementarySurface
static new bool	CompareType (cadex.BaseObject theObject)

static cadex.Geom.ElementarySurface	Cast (cadex.Geom.Surface theBase)

Static Public Member Functions inherited from cadex.Geom.Surface
static new bool	CompareType (cadex.BaseObject theObject)

Static Public Member Functions inherited from cadex.Geom.Geometry
static bool	CompareType (cadex.BaseObject theObject)

static cadex.Geom.Geometry	Cast (cadex.BaseObject theBase)

Protected Member Functions
override void	Dispose (bool disposing)

Protected Member Functions inherited from cadex.Geom.ElementarySurface
override void	Dispose (bool disposing)

Protected Member Functions inherited from cadex.Geom.Surface
override void	Dispose (bool disposing)

Detailed Description

Defines a conical surface.

A conical surface is defined by an axis placement, a reference radius and a semi-angle. The following image depicts a conical surface example:

Conical surface

A conical surface is parametrized as follows: \(\mathbf{S}(u,v) = \mathbf{P} + r\cos(u)\mathbf{X} + r\sin(u)\mathbf{Y} + v\cos(\phi)\mathbf{Z}\), where

\(\mathbf{P}\) is an origin point,
\(\mathbf{X}\), \(\mathbf{Y}\) and \(\mathbf{Y}\) are directions (unit vectors) of X, Y and Z axes respectively,
\(\phi\) - semi-angle, i.e. an angle between \(\mathbf{Z}\) and any generatrix,
\(r = R + v\sin(\phi)\), i.e. a radius of a circle at respective parameter \(v\),
\(u\) belongs to \([0, 2\pi]\),
\(v\) belongs to \((-\infty, +\infty)\).

U-parameter is an angle along the circle at a given parameter V and V-parameter is a length along the cone. Thus, U-isolines are lines and V-isoline are circles.

V-isoline at \(v=0\) is a circle of radius \(R\) in the plane defined by an axis placement.

Conical surface contains both halves of mathematical cone.

Conical surface is U-periodical with period \(2\pi\). At a cone apex, \(r=0\), hence at apex \(v=\frac{-R}{\sin(\phi)}\).

If a face lying on a conical surface contains the apex its boundary wire will contain a degenerated edge corresponding to the apex. If the face takes full U-period then the wire will contain a seam-edge. The face may only lie on one half of a cone, i.e. on one side from the apex.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Constructor & Destructor Documentation

◆ ConicalSurface()

cadex.Geom.ConicalSurface.ConicalSurface	(	cadex.Geom.Axis3d	thePosition,
		double	theSemiAngle,
		double	theRadius )

inline

Constructor.

Creates an object from an axis, semi-angle and reference radius.

Semi-angle theAngle must be either positive or negative. theRadius must be positive.

Member Function Documentation

◆ Angle()

double cadex.Geom.ConicalSurface.Angle ( )

inline

Returns semi-angle.

Returns the value specified in the constructor.

Deprecated: Kept for binary compatibility. Use SemiAngle() instead.

◆ Dispose()

override void cadex.Geom.ConicalSurface.Dispose ( bool disposing )

inlineprotectedvirtual

Reimplemented from cadex.BaseObject.

◆ Radius()

double cadex.Geom.ConicalSurface.Radius ( )

inline

Returns reference radius.

Returns the value specified in the constructor.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

◆ SemiAngle()

double cadex.Geom.ConicalSurface.SemiAngle ( )

inline

Returns semi-angle.

Returns the value specified in the constructor.

Examples: exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ ConicalSurface()

Member Function Documentation

◆ Angle()

◆ Dispose()

◆ Radius()

◆ SemiAngle()