2D Geometry

The plane package contains all 2D types. Every concrete type implements the Entity2D interface, which provides a common contract for coordinates, matrix representations, transforms, and arithmetic.

Type hierarchy

Entity2D (interface)
├── Point2D
├── VectorialEntity2D (sealed)
│   ├── Vector2D
│   └── Direction2D
└── PolarCoordinate

CoordinateSystem2D

Function2D (interface)
├── Polynomial
├── LinearSpline
└── CubicSpline

ParametricCurve2D
├── BezierCurve
└── CubicBezierSpline2D

Curve2D
Polygon2D
└── ConvexPolygon2D

Entity2D contract

All 2D geometric objects expose:

Member Type Description
x Double x-component
y Double y-component
matrix SimpleMatrix 2×1 column matrix
affineMatrix SimpleMatrix 3×1 affine column matrix
rotate(angle) Entity2D rotate around the origin
rotate(center, angle) Entity2D rotate around a given point
changeBasis(from, to) Entity2D express this entity in a different coordinate system
+, -, *, / operators entity-wise and scalar arithmetic
component1(), component2() destructuring val (x, y) = point

Pages