Geometry 2D

A 2D geometry library supporting the following basic 2D primitive shapes:

Circles, Triangles, Infinite Lines, Line Segments, Quads, Polygons

All shapes are structs so there is little heap allocation except for Polygon type which uses a list.

Polymorphism is supported via interfaces. And intersections for each shape is also supported. Each shape also supports a variety of helpful functions.

Note: Naming convention does not follow standard C# convention. This is because I wrote a lot of this originally in HLSL and converted it to C#.

Demo

shapes.mp4

Functions supported

All geometry objects have the following functions:

• Tangent -> Get the tangent vector nearest to the point
• Normal -> Get the normal vector nearest to the point
• Translate -> Move the position of the object
• SetPosition -> Set the position of the object
• Scale -> (Not including infinite lines)
• Rotate -> Rotate the object
• CalculateBounds -> Get the AABB bounds of the shape
• OverlapsEdge -> Check if point overlaps an edge
• SnapTo -> Snap a point to the nearest edge
• CalculatePerimeter -> Calculate the perimeter of the line/shape

Lines have the following additional functions:

• Lerp -> Interpolate along the line
• InverseLerp -> Get the parameterised value from a point
• IsBetween -> Is a point between the two end points of the line
• Split -> Split the line into 2 lines
• Slice -> Slice the line into multiple lines
• Truncate -> Shorten the line
• IsLeft -> Is a point left of the line

2DShapes have the following additional functions:

• CalculateArea -> Calculate area of the shape
• Overlaps -> Check if a point overlaps the shape