Class Curves2D

This class provides some static Methods concerning the interaction of two ICurve2D objects.

Inheritance

System.Object

Curves2D

Inherited Members

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.Curve2D

Assembly: CADability.dll

Syntax

public class Curves2D

Methods

Connect(ICurve2D, ICurve2D)

Connect two curves: the endpoint of the first curve with the startpoint of the second curve.

Declaration

public static bool Connect(ICurve2D first, ICurve2D second)

Parameters

Type	Name	Description
ICurve2D	first	First curve
ICurve2D	second	Second curve

Returns

Type	Description
System.Boolean	true if succeede, false otherwise

ConnectByTwoArcs(GeoPoint2D, GeoPoint2D, GeoVector2D, GeoVector2D)

Constructs two arcs that connect p1 and p2 and are tangential to dir1 and dir2 respectively.

Declaration

public static ICurve2D[] ConnectByTwoArcs(GeoPoint2D p1, GeoPoint2D p2, GeoVector2D dir1, GeoVector2D dir2)

Parameters

Type	Name	Description
GeoPoint2D	p1	Startpoint
GeoPoint2D	p2	Endpoint
GeoVector2D	dir1	Starting direction
GeoVector2D	dir2	ending direction

Returns

Type	Description
ICurve2D[]

DistanceAtDirection(ICurve2D, ICurve2D, GeoVector2D)

Calculates the distance of the two curves in the provided direction. In other words this means how far con you move the first curve in the direction dir so that it touches the second curve? The result may be double.MaxValue if the curves will never touch eac other, or it might be negative if you would have to move first in the opposite direction of dir to touch second.

note

Currently only implemented for Line2D and Arc2D

.

Declaration

public static double DistanceAtDirection(ICurve2D first, ICurve2D second, GeoVector2D dir)

Parameters

Type	Name	Description
ICurve2D	first	Fisrt curve
ICurve2D	second	Second curve
GeoVector2D	dir	Direction of movement or distance

Returns

Type	Description
System.Double	Distance

NearestPoint(GeoPoint2DWithParameter[], GeoPoint2D, out GeoPoint2DWithParameter)

Declaration

public static bool NearestPoint(GeoPoint2DWithParameter[] points, GeoPoint2D selectionPoint, out GeoPoint2DWithParameter nearestPoint)

Parameters

Type	Name	Description
GeoPoint2DWithParameter[]	points
GeoPoint2D	selectionPoint
GeoPoint2DWithParameter	nearestPoint

Returns

Type	Description
System.Boolean

SimpleMinimumDistance(ICurve2D, ICurve2D)

Declaration

public static double SimpleMinimumDistance(ICurve2D first, ICurve2D second)

Parameters

Type	Name	Description
ICurve2D	first
ICurve2D	second

Returns

Type	Description
System.Double

SimpleMinimumDistance(ICurve2D, ICurve2D, GeoPoint2D, out GeoPoint2D, out GeoPoint2D)

Returns the minimum distance of the two given curves. If the curves are parallel, the connection of p1 and p2 will go through preferredPosition.

Declaration

public static double SimpleMinimumDistance(ICurve2D first, ICurve2D second, GeoPoint2D preferredPosition, out GeoPoint2D p1, out GeoPoint2D p2)

Parameters

Type	Name	Description
ICurve2D	first	first curve
ICurve2D	second	second curve
GeoPoint2D	preferredPosition	Position for parallel curves
GeoPoint2D	p1	returns the point on the first curve
GeoPoint2D	p2	returns the point on the second curve

Returns

Type	Description
System.Double	The value of the minimum distance

SimpleMinimumDistance(ICurve2D, ICurve2D, out GeoPoint2D, out GeoPoint2D)

Returns the minimum distance of the two given curves.

Declaration

public static double SimpleMinimumDistance(ICurve2D first, ICurve2D second, out GeoPoint2D p1, out GeoPoint2D p2)

Parameters

Type	Name	Description
ICurve2D	first	first curve
ICurve2D	second	second curve
GeoPoint2D	p1	returns the point on the first curve
GeoPoint2D	p2	returns the point on the second curve

Returns

Type	Description
System.Double	The value of the minimum distance

TangentCircle(ICurve2D, ICurve2D, ICurve2D, GeoPoint2D, GeoPoint2D, GeoPoint2D)

Calculates the center points and the tangential points of the circles that are tangential to the given curves. If the curves are lines or circles all possible solutions are revealed. If the curves are more complex, only the solution that is closest to the given points is revealed. Each solution consists of 4 points: 1.: the center, 2.: the tangential point to c1, 3.: the tangential point to c2, 4.: the tangential point to c3. The radius mus be calculated by the distance of the center to one of the tangential points. The length of the returned array is a multiple of 4 (or 0)

Declaration

public static GeoPoint2D[] TangentCircle(ICurve2D c1, ICurve2D c2, ICurve2D c3, GeoPoint2D p1, GeoPoint2D p2, GeoPoint2D p3)

Parameters

Type	Name	Description
ICurve2D	c1	first tangential curve
ICurve2D	c2	second tangential curve
ICurve2D	c3	third tangential curve
GeoPoint2D	p1	startpoint on c1
GeoPoint2D	p2	startpoint on c2
GeoPoint2D	p3	startpoint on c3

Returns

Type	Description
GeoPoint2D[]	Quadruples of GeoPoint2D defining 0 or more circles

TangentCircle(ICurve2D, ICurve2D, Double)

Calculates the center points and the tangential points of the circles that are tangential to the given curves and have the given radius. There may be any number of solutions, including no solution. Each solution consists of three points: 1.: the center, 2.: the tangential point to the first curve, 3.: the tangential point to the second curve. The length of the returned array is a multiple of 3 (or 0)

Declaration

public static GeoPoint2D[] TangentCircle(ICurve2D first, ICurve2D second, double radius)

Parameters

Type	Name	Description
ICurve2D	first	first curve
ICurve2D	second	second curve
System.Double	radius	radius of the requsted circle

Returns

Type	Description
GeoPoint2D[]	the requested center points

TangentCircle(ICurve2D, GeoPoint2D, Double)

Calculates the center points and the tangential point of the circles that are tangential to a given curve with a given circlepoint and have the given radius. There may be any number of solutions, including no solution. Each solution consists of two points: 1.: the center, 2.: the tangential point to the curve. The length of the returned array is a multiple of 2 (or 0)

Declaration

public static GeoPoint2D[] TangentCircle(ICurve2D curve, GeoPoint2D point, double radius)

Parameters

Type	Name	Description
ICurve2D	curve	curve
GeoPoint2D	point	point on the circle
System.Double	radius	radius of the requsted circle

Returns

Type	Description
GeoPoint2D[]	the requested center points

TangentLines(ICurve2D, ICurve2D)

Calculates lines that are tangential to both the first and the second curve. Returns an array of 2D points, where each pair of points represent a line. The number of points is always even. Implemented for circles or arcs only.

Declaration

public static GeoPoint2D[] TangentLines(ICurve2D first, ICurve2D second)

Parameters

Type	Name	Description
ICurve2D	first
ICurve2D	second

Returns

Type	Description
GeoPoint2D[]

TangentLines(ICurve2D, ICurve2D, GeoPoint2D, GeoPoint2D)

Calculates the start- and endpoints of lines that are tangential to the given curves. There may be any number of solutions, including no solution. Each solution consists of two points: 1.: the startpoint, 2.: the endpoint of the Line. the startpoint lies on the first curve, the endpoint on the second. The length of the returned array is a multiple of 2 (or 0). If both curves are circles or arcs, all possible solutions are returned. If a curve is mor complex than a circle (e.g. bspline, ellipse) only the solution closest to the points p1 and p2 is returned.

Declaration

public static GeoPoint2D[] TangentLines(ICurve2D first, ICurve2D second, GeoPoint2D p1, GeoPoint2D p2)

Parameters

Type	Name	Description
ICurve2D	first	first curve
ICurve2D	second	second curve
GeoPoint2D	p1	point near first curve
GeoPoint2D	p2	point near second curve

Returns

Type	Description
GeoPoint2D[]