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Geometric Analysis Library for Lua

Demonstration images:

Polygon A Union Intersection
Polygon A Intersection Union
Polygon B Subtraction (A-B) Subtraction (B-A)
Polygon B Subtraction Subtraction

Brief

This library is intended for geometric analysis of 3D polygon and polyhedron environments.
Eventually, I will use it in the procedural generation of static game environments.

Library status

  • Spatial representation
    • Vertex
    • Identity: Yes (O(N) - no octree yet)
    • Edge
    • Identity: Yes (O(1))
  • Polygon
    • Identity: Yes (O(N))
    • Operations
      • Point in polygon: Yes
      • Intersection: Yes
      • Union: Yes
      • Subtraction: Yes (still some edge cases left to examine)
  • Face
    • Identity: Yes (O(N))
  • Polyhedron: No
  • Solid/Volume: No

Lualgebra - basic numeric and algebraic foundation library

  • Floating point utilities: Partial
  • Big Int via GMP: Yes (untested)
  • Exact Real Arithmeatic via IC-Reals: No
  • Algebra & Calculus stuff: No

Luametry - polygoaln and polyhedronal geomtric analysis

  • See above

Axiom - Natural Selection 2 map generatr

  • Level format reader: Yes (v9)
  • Level format writer: Yes (v9)
  • Output of luametry primitives: Partial (vertex, edge, polygon, face)
  • L-System Engine: No
  • Procedural map generation: No :)

Documentation

Todo

FAQ

Q: Why are the commit messages so undescriptive?
A: This project was to help me learn and refactoring occured very often. I didn't want to waste time describing changes when they may disappear next commit. The majority of the commits here to save code just before it was removed, in case I needed it later.

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Discrete geometry library

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