Class ToroidalSurface

A toroidal surface which implements ISurface. The surface represents a torus in space. It is defined by its position in space (three directions) and two radii. The u parameter describes the "big" circles around the main axis, the v parameter describes the "small" circles.

Inheritance

System.Object

ISurfaceImpl

ToroidalSurface

Implements

ISurface

IOctTreeInsertable

System.Runtime.Serialization.ISerializable

System.Runtime.Serialization.IDeserializationCallback

IImplicitPSurface

IExportStep

Inherited Members

ISurfaceImpl.extrema

ISurfaceImpl.InvalidateSecondaryData()

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

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

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

ISurfaceImpl.IsUClosed

ISurfaceImpl.IsVClosed

ISurfaceImpl.GetUSingularities()

ISurfaceImpl.MakeFace(SimpleShape)

ISurfaceImpl.MakeCanonicalForm()

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

ISurfaceImpl.GetOffsetSurface(Double, ModOp2D)

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

ISurfaceImpl.IsRuled

ISurfaceImpl.GetPatchExtent(BoundingRect, Boolean)

ISurfaceImpl.GetPolynomialParameters()

ISurfaceImpl.SetBounds(BoundingRect)

ISurfaceImpl.PerpendicularFoot(GeoPoint)

ISurfaceImpl.HasDiscontinuousDerivative(ICurve2D[])

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.UvChangesWithModification

ISurfaceImpl.sqr(Double)

ISurfaceImpl.cube(Double)

ISurfaceImpl.quad(Double)

ISurfaceImpl.exp32(Double)

ISurfaceImpl.exp52(Double)

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)

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 ToroidalSurface : ISurfaceImpl, ISurface, IOctTreeInsertable, ISerializable, IDeserializationCallback, IImplicitPSurface, IExportStep, ISurfaceOfArcExtrusion, ISurfaceOfExtrusion

Constructors

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ToroidalSurface(GeoPoint, GeoVector, GeoVector, GeoVector, Double, Double)

Declaration

public ToroidalSurface(GeoPoint loc, GeoVector dirx, GeoVector diry, GeoVector dirz, double majorRadius, double minorRadius)

Parameters

Type	Name	Description
GeoPoint	loc
GeoVector	dirx
GeoVector	diry
GeoVector	dirz
System.Double	majorRadius
System.Double	minorRadius

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ToroidalSurface(SerializationInfo, StreamingContext)

Declaration

protected ToroidalSurface(SerializationInfo info, StreamingContext context)

Parameters

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

Properties

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Axis

Declaration

public GeoVector Axis { get; }

Property Value

Type	Description
GeoVector

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IsUPeriodic

Declaration

public override bool IsUPeriodic { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsUPeriodic

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IsVPeriodic

Declaration

public override bool IsVPeriodic { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsVPeriodic

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Location

Declaration

public GeoPoint Location { get; }

Property Value

Type	Description
GeoPoint

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MinorRadius

Declaration

public double MinorRadius { get; }

Property Value

Type	Description
System.Double

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Oriented

Declaration

public override bool Oriented { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.Oriented

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UPeriod

Declaration

public override double UPeriod { get; }

Property Value

Type	Description
System.Double

Overrides

ISurfaceImpl.UPeriod

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VPeriod

Declaration

public override double VPeriod { get; }

Property Value

Type	Description
System.Double

Overrides

ISurfaceImpl.VPeriod

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XAxis

Declaration

public GeoVector XAxis { get; }

Property Value

Type	Description
GeoVector

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YAxis

Declaration

public GeoVector YAxis { get; }

Property Value

Type	Description
GeoVector

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ZAxis

Declaration

public GeoVector ZAxis { get; }

Property Value

Type	Description
GeoVector

Methods

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Clone()

Overrides Clone()

Declaration

public override ISurface Clone()

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.Clone()

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CopyData(ISurface)

Overrides CopyData(ISurface)

Declaration

public override void CopyData(ISurface CopyFrom)

Parameters

Type	Name	Description
ISurface	CopyFrom

Overrides

ISurfaceImpl.CopyData(ISurface)

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

Declaration

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

Parameters

Type	Name	Description
GeoPoint2D	uv
GeoPoint	location
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)

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FixedU(Double, Double, Double)

Overrides 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)

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FixedV(Double, Double, Double)

Overrides 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)

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GetAxisEllipse()

Declaration

public Ellipse GetAxisEllipse()

Returns

Type	Description
Ellipse

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

Declaration

public override IDualSurfaceCurve[] GetDualSurfaceCurves(BoundingRect thisBounds, ISurface other, BoundingRect otherBounds, List<GeoPoint> seeds, List<Tuple<double, double, double, double>> extremePositions)

Parameters

Type	Name	Description
BoundingRect	thisBounds
ISurface	other
BoundingRect	otherBounds
System.Collections.Generic.List<GeoPoint>	seeds
System.Collections.Generic.List<System.Tuple<System.Double, System.Double, System.Double, System.Double>>	extremePositions

Returns

Type	Description
IDualSurfaceCurve[]

Overrides

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

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GetExtrema()

Overrides GetExtrema()

Declaration

public override GeoPoint2D[] GetExtrema()

Returns

Type	Description
GeoPoint2D[]

Overrides

ISurfaceImpl.GetExtrema()

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GetImplicitPolynomial()

Declaration

public override Polynom GetImplicitPolynomial()

Returns

Type	Description
Polynom

Overrides

ISurfaceImpl.GetImplicitPolynomial()

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GetLineIntersection(GeoPoint, GeoVector)

Overrides GetLineIntersection(GeoPoint, GeoVector)

Declaration

public override GeoPoint2D[] GetLineIntersection(GeoPoint startPoint, GeoVector direction)

Parameters

Type	Name	Description
GeoPoint	startPoint
GeoVector	direction

Returns

Type	Description
GeoPoint2D[]

Overrides

ISurfaceImpl.GetLineIntersection(GeoPoint, GeoVector)

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GetModified(ModOp)

Overrides GetModified(ModOp)

Declaration

public override ISurface GetModified(ModOp m)

Parameters

Type	Name	Description
ModOp	m

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.GetModified(ModOp)

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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)

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GetNonPeriodicSurface(ICurve[])

Declaration

public override ISurface GetNonPeriodicSurface(ICurve[] orientedCurves)

Parameters

Type	Name	Description
ICurve[]	orientedCurves

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.GetNonPeriodicSurface(ICurve[])

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GetNormal(GeoPoint2D)

Overrides GetNormal(GeoPoint2D)

Declaration

public override GeoVector GetNormal(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.GetNormal(GeoPoint2D)

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GetOffsetSurface(Double)

Declaration

public override ISurface GetOffsetSurface(double offset)

Parameters

Type	Name	Description
System.Double	offset

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.GetOffsetSurface(Double)

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

Overrides 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)

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GetProjectedCurve(ICurve, Double)

Overrides 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)

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GetPropertyEntry(IFrame)

Declaration

public override IPropertyEntry GetPropertyEntry(IFrame frame)

Parameters

Type	Name	Description
IFrame	frame

Returns

Type	Description
IPropertyEntry

Overrides

ISurfaceImpl.GetPropertyEntry(IFrame)

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GetSaveUSteps()

Overrides GetSaveUSteps()

Declaration

protected override double[] GetSaveUSteps()

Returns

Type	Description
System.Double[]

Overrides

ISurfaceImpl.GetSaveUSteps()

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GetSaveVSteps()

Overrides GetSaveVSteps()

Declaration

protected override double[] GetSaveVSteps()

Returns

Type	Description
System.Double[]

Overrides

ISurfaceImpl.GetSaveVSteps()

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GetSelfIntersections(BoundingRect)

Declaration

public override ICurve2D[] GetSelfIntersections(BoundingRect bounds)

Parameters

Type	Name	Description
BoundingRect	bounds

Returns

Type	Description
ICurve2D[]

Overrides

ISurfaceImpl.GetSelfIntersections(BoundingRect)

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

Overrides 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)

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GetVSingularities()

Declaration

public override double[] GetVSingularities()

Returns

Type	Description
System.Double[]

Overrides

ISurfaceImpl.GetVSingularities()

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GetZMinMax(Projection, Double, Double, Double, Double, ref Double, ref Double)

Overrides GetZMinMax(Projection, Double, Double, Double, Double, ref Double, ref Double)

Declaration

public override void GetZMinMax(Projection p, double umin, double umax, double vmin, double vmax, ref double zMin, ref double zMax)

Parameters

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

Overrides

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

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HitTest(BoundingCube, out GeoPoint2D)

Overrides HitTest(BoundingCube, out GeoPoint2D)

Declaration

public override bool HitTest(BoundingCube bc, out GeoPoint2D uv)

Parameters

Type	Name	Description
BoundingCube	bc
GeoPoint2D	uv

Returns

Type	Description
System.Boolean

Overrides

ISurfaceImpl.HitTest(BoundingCube, out GeoPoint2D)

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Intersect(BoundingRect, ISurface, BoundingRect)

Declaration

public override ICurve[] Intersect(BoundingRect thisBounds, ISurface other, BoundingRect otherBounds)

Parameters

Type	Name	Description
BoundingRect	thisBounds
ISurface	other
BoundingRect	otherBounds

Returns

Type	Description
ICurve[]

Overrides

ISurfaceImpl.Intersect(BoundingRect, ISurface, BoundingRect)

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Intersect(BoundingRect, ISurface, BoundingRect, GeoPoint)

Declaration

public override ICurve Intersect(BoundingRect thisBounds, ISurface other, BoundingRect otherBounds, GeoPoint seed)

Parameters

Type	Name	Description
BoundingRect	thisBounds
ISurface	other
BoundingRect	otherBounds
GeoPoint	seed

Returns

Type	Description
ICurve

Overrides

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

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Intersect(ICurve, BoundingRect, out GeoPoint[], out GeoPoint2D[], out Double[])

Overrides Intersect(ICurve, BoundingRect, out GeoPoint[], out GeoPoint2D[], out Double[])

Declaration

public override void Intersect(ICurve curve, BoundingRect uvExtent, out GeoPoint[] ips, out GeoPoint2D[] uvOnFaces, out double[] uOnCurve3Ds)

Parameters

Type	Name	Description
ICurve	curve
BoundingRect	uvExtent
GeoPoint[]	ips
GeoPoint2D[]	uvOnFaces
System.Double[]	uOnCurve3Ds

Overrides

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

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Make3dCurve(ICurve2D)

Overrides Make3dCurve(ICurve2D)

Declaration

public override ICurve Make3dCurve(ICurve2D curve2d)

Parameters

Type	Name	Description
ICurve2D	curve2d

Returns

Type	Description
ICurve

Overrides

ISurfaceImpl.Make3dCurve(ICurve2D)

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MaxDist(GeoPoint2D, GeoPoint2D, out GeoPoint2D)

Declaration

public override double MaxDist(GeoPoint2D sp, GeoPoint2D ep, out GeoPoint2D mp)

Parameters

Type	Name	Description
GeoPoint2D	sp
GeoPoint2D	ep
GeoPoint2D	mp

Returns

Type	Description
System.Double

Overrides

ISurfaceImpl.MaxDist(GeoPoint2D, GeoPoint2D, out GeoPoint2D)

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Modify(ModOp)

Overrides Modify(ModOp)

Declaration

public override void Modify(ModOp m)

Parameters

Type	Name	Description
ModOp	m

Overrides

ISurfaceImpl.Modify(ModOp)

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Orientation(GeoPoint)

Overrides Orientation(GeoPoint)

Declaration

public override double Orientation(GeoPoint p)

Parameters

Type	Name	Description
GeoPoint	p

Returns

Type	Description
System.Double

Overrides

ISurfaceImpl.Orientation(GeoPoint)

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PointAt(GeoPoint2D)

Overrides PointAt(GeoPoint2D)

Declaration

public override GeoPoint PointAt(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoPoint

Overrides

ISurfaceImpl.PointAt(GeoPoint2D)

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PositionOf(GeoPoint)

Overrides PositionOf(GeoPoint)

Declaration

public override GeoPoint2D PositionOf(GeoPoint p)

Parameters

Type	Name	Description
GeoPoint	p

Returns

Type	Description
GeoPoint2D

Overrides

ISurfaceImpl.PositionOf(GeoPoint)

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ReverseOrientation()

Overrides ReverseOrientation()

Declaration

public override ModOp2D ReverseOrientation()

Returns

Type	Description
ModOp2D

Overrides

ISurfaceImpl.ReverseOrientation()

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

Overrides 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)

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UDirection(GeoPoint2D)

Overrides UDirection(GeoPoint2D)

Declaration

public override GeoVector UDirection(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.UDirection(GeoPoint2D)

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VDirection(GeoPoint2D)

Overrides 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

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IExportStep.Export(ExportStep, Boolean)

Declaration

int IExportStep.Export(ExportStep export, bool topLevel)

Parameters

Type	Name	Description
ExportStep	export
System.Boolean	topLevel

Returns

Type	Description
System.Int32

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IImplicitPSurface.GetImplicitPSurface()

Declaration

ImplicitPSurface IImplicitPSurface.GetImplicitPSurface()

Returns

Type	Description
ImplicitPSurface

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IDeserializationCallback.OnDeserialization(Object)

Declaration

void IDeserializationCallback.OnDeserialization(object sender)

Parameters

Type	Name	Description
System.Object	sender

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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

System.Runtime.Serialization.ISerializable

System.Runtime.Serialization.IDeserializationCallback

IImplicitPSurface

IExportStep