2D Modeling

Classes
struct	CircularProfile
	Circular profile. More...
struct	RectangularProfile
	Rectangular profile. More...
class	BoundingRect
	Bounding rectangle. More...
class	Curve2D
	Curve in two-dimensional space. More...
class	FillArea
	Fill area. More...
class	GeometrySet2D
	A set of geometric primitives that can include 2D curves and fills. More...
class	Matrix2D
	The matrix of transformation in a two-dimensional space. More...
class	Point2D
	Two-dimensional point. More...

Enumerations
enum	CoordinateSystem2D { Cartesian , Polar }
	Types of coordinate system in two dimensional space. More...

Functions
Curve2D	CreateLineSegment2D (Point2D startPoint, Point2D endPoint)
	Creates a line segment based on two points.
Curve2D	CreateArc2DByThreePoints (Point2D startPoint, Point2D intermediatePoint, Point2D endPoint)
	Creates a circular arc from startPoint to endPoint through intermediatePoint.
Curve2D	CreateArc2DByCenterStartEndPoints (Point2D centerPoint, Point2D startPoint, Point2D endPoint, boolean clockwise)
	Creates a circular arc based on a center and two points.
Curve2D	CreateCircle2D (Point2D center, number radius)
	Creates a circle.
Curve2D	CreateRectangle2D (Point2D center, double angle, number width, number height)
	Creates a rectangle as composite curve of four line segments.
Curve2D	CreateEllipse2D (Point2D center, number angle, number radiusAlongXAxis, number radiusAlongYAxis)
	Creates an ellipse.
Curve2D	CreateEllipticalArc2DByCenterStartEndPoints (Point2D center, number angle, number radiusAlongXAxis, number radiusAlongYAxis, Point2D startPoint, Point2D endPoint, boolean clockwise)
	Creates elliptical arc.
Curve2D	CreatePolyline2D (table points)
	Creates a composite curve from line segments by points.
Curve2D	CreateParametricCurve2D (string xFunction, string yFunction, CoordinateSystem2D coordinateSystem, number tStart, number tEnd)
	Creates a curve described by parametric functions.
table	IntersectCurves2D (Curve2D curve1, Curve2D curve2, boolean includeTouch)
	Finds the intersection points of two two-dimensional curves.
nil	FilletCornerAfterSegment2D (Curve2D curve, number segment_index, number radius)
	Rounds the corner between the segment with index 'segment_index' and the next one.
nil	FilletCorners2D (Curve2D curve, number radius)
	Rounds all corners of a composite curve.
Curve2D	CreateCompositeCurve2D (table curves)
	Creates composite curve.The start point of every curve should be equal to the end point of previous.
table	ClipCurvesByRegions (table curves, table regions, boolean invertRegions, boolean cutOnCurve)
	Clips curves by regions.

Enumeration Type Documentation

CoordinateSystem2D

enum CoordinateSystem2D

Types of coordinate system in two dimensional space.

Enumerator
Cartesian	Cartesian coordinate system.
Polar	Polar coordinate system.

Function Documentation

ClipCurvesByRegions()

table ClipCurvesByRegions	(	table	curves,
		table	regions,
		boolean	invertRegions,
		boolean	cutOnCurve )

Clips curves by regions.

Parameters

curves	Curves to clip.
regions	Regions represented by FillArea for curves clipping.
invertRegions	Inverts the regions.
cutOnCurve	If false, parts of the curve that coincide with the boundary segments are not removed.

CreateArc2DByCenterStartEndPoints()

Curve2D CreateArc2DByCenterStartEndPoints	(	Point2D	centerPoint,
		Point2D	startPoint,
		Point2D	endPoint,
		boolean	clockwise )

Creates a circular arc based on a center and two points.

Parameters

centerPoint	The center of the arc.
startPoint	The start point of the arc. It defines the radius.
endPoint	The end point of the arc.
clockwise	The direction of the arc. true – clockwise, false – counterclockwise.

CreateArc2DByThreePoints()

Curve2D CreateArc2DByThreePoints	(	Point2D	startPoint,
		Point2D	intermediatePoint,
		Point2D	endPoint )

Creates a circular arc from startPoint to endPoint through intermediatePoint.

Parameters

startPoint	The start point of the arc.
intermediatePoint	Point lying on an arc.
endPoint	The end point of the arc.

CreateCircle2D()

Curve2D CreateCircle2D	(	Point2D	center,
		number	radius )

Creates a circle.

Parameters

center	Circle center.
radius	Radius.

CreateCompositeCurve2D()

Curve2D CreateCompositeCurve2D

(

table

curves

)

Creates composite curve.The start point of every curve should be equal to the end point of previous.

Parameters

curves

A set of curves (Curve2D).

CreateEllipse2D()

Curve2D CreateEllipse2D	(	Point2D	center,
		number	angle,
		number	radiusAlongXAxis,
		number	radiusAlongYAxis )

Creates an ellipse.

Parameters

center	Ellipse center.
angle	Counterclockwise rotation angle relative center, in radians.
radiusAlongXAxis	Semi-axis radius along X axis.
radiusAlongYAxis	Semi-axis radius along Y axis.

CreateEllipticalArc2DByCenterStartEndPoints()

Curve2D CreateEllipticalArc2DByCenterStartEndPoints	(	Point2D	center,
		number	angle,
		number	radiusAlongXAxis,
		number	radiusAlongYAxis,
		Point2D	startPoint,
		Point2D	endPoint,
		boolean	clockwise )

Creates elliptical arc.

Parameters

center	Ellipse center.
angle	Counterclockwise rotation angle relative center, in radians.
radiusAlongXAxis	Semi-axis radius along X axis.
radiusAlongYAxis	Semi-axis radius along Y axis.
startPoint	The start point of the arc.
endPoint	The end point of the arc.
clockwise	The direction of the arc. true - clockwise, false - counterclockwise.

CreateLineSegment2D()

Curve2D CreateLineSegment2D	(	Point2D	startPoint,
		Point2D	endPoint )

Creates a line segment based on two points.

Parameters

startPoint	The start point of the segment.
endPoint	The end point of the segment.

CreateParametricCurve2D()

Curve2D CreateParametricCurve2D	(	string	xFunction,
		string	yFunction,
		CoordinateSystem2D	coordinateSystem,
		number	tStart,
		number	tEnd )

Creates a curve described by parametric functions.

This function generates a curve described by parametric functions xFunction and yFunction. The type of coordinate system (Cartesian, polar) is indicated by the parameter coordinateSystem. The initial value of the parameter tStart and the final value tEnd are used to define the parameter range of the curve.

The parametric functions xFunction(t) and yFunction(t) are scalar functions that depend on a common parameter t and are defined as symbolic expressions.

Parameters

xFunction	Expression that describes the dependence of the X-coordinate on the parameter.
yFunction	Expression that describes the dependence of the Y-coordinate on the parameter.
coordinateSystem	Coordinate system.
tStart	Minimum parameter value.
tEnd	Maximum parameter value.

CreatePolyline2D()

Curve2D CreatePolyline2D

(

table

points

)

Creates a composite curve from line segments by points.

Parameters

points

Set of points (Point2D).

CreateRectangle2D()

Curve2D CreateRectangle2D	(	Point2D	center,
		double	angle,
		number	width,
		number	height )

Creates a rectangle as composite curve of four line segments.

Parameters

center	Rectangle center.
angle	Counterclockwise rotation angle from the center, in radians.
width	Width.
height	Height.

FilletCornerAfterSegment2D()

nil FilletCornerAfterSegment2D	(	Curve2D	curve,
		number	segment_index,
		number	radius )

Rounds the corner between the segment with index 'segment_index' and the next one.

Parameters

curve	Composite curve with corners to fillet.
segment_index	The index of the first segment of the composite curve, 1 <= segment_index < N-1, where N - the count of the segments in the composite curve.
radius	Fillet radius.

FilletCorners2D()

nil FilletCorners2D	(	Curve2D	curve,
		number	radius )

Rounds all corners of a composite curve.

Parameters

curve	Composite curve with corners to fillet.
radius	Fillet radius.

IntersectCurves2D()

table IntersectCurves2D	(	Curve2D	curve1,
		Curve2D	curve2,
		boolean	includeTouch )

Finds the intersection points of two two-dimensional curves.

Parameters

curve1	The first curve.
curve2	The second curve.
includeTouch	Include touch points.

Returns

The list of intersection and/or touch points.