Class CylindricalSurfaceNP

A cylindrical surface, defined by a point (location), and axis (zAxis). The axis (zAxis) and the two vectors xAxis and yAxis build an orthogonal coordinate system. xAxis and yAxis have the same length, which define the radius of the cylinder. The length of the zAxis is the domain of the cylindrical surface. points outside this domain are defined, but not used. The 2d u/v system is defined by the plane through "location" which is spanned by xAxis and yAxis. For each point on the surface, there is a point in this plane, which is found by intersecting the line from (location-zAxis) to the surface point with the u/v plane. Thus all points of the domain on the surface are within an annulus with the cylinder radius and a hole of half the cylinder radius. The u/v system is not periodic and has no poles (except of the 2d origin, which is at the infinite end of the axis). When the orthogonal system of xAxis, yAxis and zAxis is right handed, the normal vectors point to the outside, otherwise they point to the inside. Circles, ellipses and lines in 3d correspond to circles, ellipses and lines in 2d. 3d ellipses with their center at (location-zAxis) degenerate to lines in 2d.

Inheritance

System.Object

ISurfaceImpl

CylindricalSurfaceNP

Implements

ISurface

IOctTreeInsertable

IJsonSerialize

System.Runtime.Serialization.ISerializable

IRestrictedDomain

Inherited Members

ISurfaceImpl.extrema

ISurfaceImpl.InvalidateSecondaryData()

ISurfaceImpl.GetNormal(GeoPoint2D)

ISurfaceImpl.DerivationAt(GeoPoint2D, GeoPoint, GeoVector, GeoVector)

ISurfaceImpl.GetLineIntersection(GeoPoint, GeoVector)

ISurfaceImpl.UPeriod

ISurfaceImpl.VPeriod

ISurfaceImpl.IsUClosed

ISurfaceImpl.IsVClosed

ISurfaceImpl.GetUSingularities()

ISurfaceImpl.GetVSingularities()

ISurfaceImpl.MakeFace(SimpleShape)

ISurfaceImpl.GetZMinMax(Projection, Double, Double, Double, Double, Double, Double)

ISurfaceImpl.MakeCanonicalForm()

ISurfaceImpl.Modify(ModOp)

ISurfaceImpl.Approximate(Double, Double, Double, Double, Double)

ISurfaceImpl.Intersect(ICurve, BoundingRect, GeoPoint[], GeoPoint2D[], Double[])

ISurfaceImpl.Intersect(BoundingRect, ISurface, BoundingRect)

ISurfaceImpl.Intersect(BoundingRect, ISurface, BoundingRect, GeoPoint)

ISurfaceImpl.GetOffsetSurface(Double)

ISurfaceImpl.GetOffsetSurface(Double, ModOp2D)

ISurfaceImpl.HitTest(BoundingCube, Double, Double, Double, Double)

ISurfaceImpl.HitTest(BoundingCube, GeoPoint2D)

ISurfaceImpl.Oriented

ISurfaceImpl.IsRuled

ISurfaceImpl.Orientation(GeoPoint)

ISurfaceImpl.GetSaveUSteps()

ISurfaceImpl.GetSaveVSteps()

ISurfaceImpl.GetExtrema()

ISurfaceImpl.GetPatchExtent(BoundingRect, Boolean)

ISurfaceImpl.GetPolynomialParameters()

ISurfaceImpl.SetBounds(BoundingRect)

ISurfaceImpl.PerpendicularFoot(GeoPoint)

ISurfaceImpl.HasDiscontinuousDerivative(ICurve2D[])

ISurfaceImpl.GetNonPeriodicSurface(ICurve[])

ISurfaceImpl.GetPatchHull(BoundingRect, GeoPoint, GeoVector, GeoVector, GeoVector)

ISurfaceImpl.GetTouchingPoints(BoundingRect, ISurface, BoundingRect)

ISurfaceImpl.GetCanonicalForm(Double, Nullable<BoundingRect>)

ISurfaceImpl.PositionOf(GeoPoint, BoundingRect)

ISurfaceImpl.GetExtremePositions(BoundingRect, ISurface, BoundingRect, List<Tuple<Double, Double, Double, Double>>)

ISurfaceImpl.GetExtremePositions(BoundingRect, ICurve, List<Tuple<Double, Double, Double>>)

ISurfaceImpl.GetDistance(GeoPoint)

ISurfaceImpl.IsExtruded(GeoVector)

ISurfaceImpl.GetContextMenuForParametrics(IFrame, Face)

ISurfaceImpl.sqr(Double)

ISurfaceImpl.cube(Double)

ISurfaceImpl.quad(Double)

ISurfaceImpl.exp32(Double)

ISurfaceImpl.exp52(Double)

ISurfaceImpl.MaxDist(GeoPoint2D, GeoPoint2D, GeoPoint2D)

ISurfaceImpl.Refine(GeoPoint[], Int32, Boolean, PlaneSurface, Double)

ISurfaceImpl.IOctTreeInsertable.GetExtent(Double)

ISurfaceImpl.IOctTreeInsertable.HitTest(BoundingCube, Double)

ISurfaceImpl.IOctTreeInsertable.HitTest(Projection, BoundingRect, Boolean)

ISurfaceImpl.IOctTreeInsertable.HitTest(Projection.PickArea, Boolean)

ISurfaceImpl.IOctTreeInsertable.Position(GeoPoint, GeoVector, Double)

ISurfaceImpl.GetDualSurfaceCurves(BoundingRect, ISurface, BoundingRect, List<GeoPoint>, List<Tuple<Double, Double, Double, Double>>)

ISurfaceImpl.GetSelfIntersections(BoundingRect)

System.Object.Equals(System.Object)

System.Object.Equals(System.Object, System.Object)

System.Object.GetHashCode()

System.Object.GetType()

System.Object.MemberwiseClone()

System.Object.ReferenceEquals(System.Object, System.Object)

System.Object.ToString()

Namespace: CADability.GeoObject

Assembly: CADability.dll

Syntax

[Serializable]
public class CylindricalSurfaceNP : ISurfaceImpl, ISurface, IOctTreeInsertable, IJsonSerialize, ISerializable, IRestrictedDomain

Constructors

CylindricalSurfaceNP()

Declaration

protected CylindricalSurfaceNP()

CylindricalSurfaceNP(GeoPoint, GeoVector, GeoVector, GeoVector)

Declaration

public CylindricalSurfaceNP(GeoPoint location, GeoVector xAxis, GeoVector yAxis, GeoVector zAxis)

Parameters

Type	Name	Description
GeoPoint	location
GeoVector	xAxis
GeoVector	yAxis
GeoVector	zAxis

CylindricalSurfaceNP(GeoPoint, Double, GeoVector, Boolean, ICurve[])

Declaration

public CylindricalSurfaceNP(GeoPoint center, double radius, GeoVector axis, bool outwardOriented, ICurve[] orientedCurves)

Parameters

Type	Name	Description
GeoPoint	center
System.Double	radius
GeoVector	axis
System.Boolean	outwardOriented
ICurve[]	orientedCurves

CylindricalSurfaceNP(SerializationInfo, StreamingContext)

Declaration

protected CylindricalSurfaceNP(SerializationInfo info, StreamingContext context)

Parameters

Type	Name	Description
System.Runtime.Serialization.SerializationInfo	info
System.Runtime.Serialization.StreamingContext	context

Properties

IsUPeriodic

Declaration

public override bool IsUPeriodic { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsUPeriodic

IsVPeriodic

Declaration

public override bool IsVPeriodic { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsVPeriodic

UvChangesWithModification

Declaration

public override bool UvChangesWithModification { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.UvChangesWithModification

Methods

Clip(ICurve2D)

Declaration

public double[] Clip(ICurve2D curve)

Parameters

Type	Name	Description
ICurve2D	curve

Returns

Type	Description
System.Double[]

Clone()

Declaration

public override ISurface Clone()

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.Clone()

CopyData(ISurface)

Declaration

public override void CopyData(ISurface CopyFrom)

Parameters

Type	Name	Description
ISurface	CopyFrom

Overrides

ISurfaceImpl.CopyData(ISurface)

Derivation2At(GeoPoint2D, out GeoPoint, out GeoVector, out GeoVector, out GeoVector, out GeoVector, out GeoVector)

Declaration

public override void Derivation2At(GeoPoint2D uv, out GeoPoint p, out GeoVector du, out GeoVector dv, out GeoVector duu, out GeoVector dvv, out GeoVector duv)

Parameters

Type	Name	Description
GeoPoint2D	uv
GeoPoint	p
GeoVector	du
GeoVector	dv
GeoVector	duu
GeoVector	dvv
GeoVector	duv

Overrides

ISurfaceImpl.Derivation2At(GeoPoint2D, out GeoPoint, out GeoVector, out GeoVector, out GeoVector, out GeoVector, out GeoVector)

FixedU(Double, Double, Double)

Declaration

public override ICurve FixedU(double u, double vmin, double vmax)

Parameters

Type	Name	Description
System.Double	u
System.Double	vmin
System.Double	vmax

Returns

Type	Description
ICurve

Overrides

ISurfaceImpl.FixedU(Double, Double, Double)

FixedV(Double, Double, Double)

Declaration

public override ICurve FixedV(double v, double umin, double umax)

Parameters

Type	Name	Description
System.Double	v
System.Double	umin
System.Double	umax

Returns

Type	Description
ICurve

Overrides

ISurfaceImpl.FixedV(Double, Double, Double)

GetImplicitPolynomial()

Declaration

public override Polynom GetImplicitPolynomial()

Returns

Type	Description
Polynom

Overrides

ISurfaceImpl.GetImplicitPolynomial()

GetModified(ModOp)

Declaration

public override ISurface GetModified(ModOp m)

Parameters

Type	Name	Description
ModOp	m

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.GetModified(ModOp)

GetNaturalBounds(out Double, out Double, out Double, out Double)

Declaration

public override void GetNaturalBounds(out double umin, out double umax, out double vmin, out double vmax)

Parameters

Type	Name	Description
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax

Overrides

ISurfaceImpl.GetNaturalBounds(out Double, out Double, out Double, out Double)

GetPlaneIntersection(PlaneSurface, Double, Double, Double, Double, Double)

Declaration

public override IDualSurfaceCurve[] GetPlaneIntersection(PlaneSurface pl, double umin, double umax, double vmin, double vmax, double precision)

Parameters

Type	Name	Description
PlaneSurface	pl
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax
System.Double	precision

Returns

Type	Description
IDualSurfaceCurve[]

Overrides

ISurfaceImpl.GetPlaneIntersection(PlaneSurface, Double, Double, Double, Double, Double)

GetProjectedCurve(ICurve, Double)

Declaration

public override ICurve2D GetProjectedCurve(ICurve curve, double precision)

Parameters

Type	Name	Description
ICurve	curve
System.Double	precision

Returns

Type	Description
ICurve2D

Overrides

ISurfaceImpl.GetProjectedCurve(ICurve, Double)

GetPropertyEntry(IFrame)

Declaration

public override IPropertyEntry GetPropertyEntry(IFrame frame)

Parameters

Type	Name	Description
IFrame	frame

Returns

Type	Description
IPropertyEntry

Overrides

ISurfaceImpl.GetPropertyEntry(IFrame)

GetSafeParameterSteps(Double, Double, Double, Double, out Double[], out Double[])

Declaration

public override void GetSafeParameterSteps(double umin, double umax, double vmin, double vmax, out double[] intu, out double[] intv)

Parameters

Type	Name	Description
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax
System.Double[]	intu
System.Double[]	intv

Overrides

ISurfaceImpl.GetSafeParameterSteps(Double, Double, Double, Double, out Double[], out Double[])

GetTangentCurves(GeoVector, Double, Double, Double, Double)

Declaration

public override ICurve2D[] GetTangentCurves(GeoVector direction, double umin, double umax, double vmin, double vmax)

Parameters

Type	Name	Description
GeoVector	direction
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax

Returns

Type	Description
ICurve2D[]

Overrides

ISurfaceImpl.GetTangentCurves(GeoVector, Double, Double, Double, Double)

IsInside(GeoPoint2D)

Declaration

public bool IsInside(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
System.Boolean

IsVanishingProjection(Projection, Double, Double, Double, Double)

Declaration

public override bool IsVanishingProjection(Projection p, double umin, double umax, double vmin, double vmax)

Parameters

Type	Name	Description
Projection	p
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax

Returns

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsVanishingProjection(Projection, Double, Double, Double, Double)

Make3dCurve(ICurve2D)

Declaration

public override ICurve Make3dCurve(ICurve2D curve2d)

Parameters

Type	Name	Description
ICurve2D	curve2d

Returns

Type	Description
ICurve

Overrides

ISurfaceImpl.Make3dCurve(ICurve2D)

PointAt(GeoPoint2D)

Declaration

public override GeoPoint PointAt(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoPoint

Overrides

ISurfaceImpl.PointAt(GeoPoint2D)

PositionOf(GeoPoint)

Declaration

public override GeoPoint2D PositionOf(GeoPoint p)

Parameters

Type	Name	Description
GeoPoint	p

Returns

Type	Description
GeoPoint2D

Overrides

ISurfaceImpl.PositionOf(GeoPoint)

ReverseOrientation()

Declaration

public override ModOp2D ReverseOrientation()

Returns

Type	Description
ModOp2D

Overrides

ISurfaceImpl.ReverseOrientation()

SameGeometry(BoundingRect, ISurface, BoundingRect, Double, out ModOp2D)

Declaration

public override bool SameGeometry(BoundingRect thisBounds, ISurface other, BoundingRect otherBounds, double precision, out ModOp2D firstToSecond)

Parameters

Type	Name	Description
BoundingRect	thisBounds
ISurface	other
BoundingRect	otherBounds
System.Double	precision
ModOp2D	firstToSecond

Returns

Type	Description
System.Boolean

Overrides

ISurfaceImpl.SameGeometry(BoundingRect, ISurface, BoundingRect, Double, out ModOp2D)

UDirection(GeoPoint2D)

Declaration

public override GeoVector UDirection(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.UDirection(GeoPoint2D)

VDirection(GeoPoint2D)

Declaration

public override GeoVector VDirection(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.VDirection(GeoPoint2D)

Explicit Interface Implementations

IJsonSerialize.GetObjectData(IJsonWriteData)

Declaration

void IJsonSerialize.GetObjectData(IJsonWriteData data)

Parameters

Type	Name	Description
IJsonWriteData	data

IJsonSerialize.SetObjectData(IJsonReadData)

Declaration

void IJsonSerialize.SetObjectData(IJsonReadData data)

Parameters

Type	Name	Description
IJsonReadData	data

ISerializable.GetObjectData(SerializationInfo, StreamingContext)

Declaration

void ISerializable.GetObjectData(SerializationInfo info, StreamingContext context)

Parameters

Type	Name	Description
System.Runtime.Serialization.SerializationInfo	info
System.Runtime.Serialization.StreamingContext	context

Implements

ISurface

IOctTreeInsertable

IJsonSerialize

System.Runtime.Serialization.ISerializable

IRestrictedDomain