geometry-algorithm-library

Development

Implement computational geometry algorithms

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/algorithms-optimization/skills/geometry-algorithm-library/SKILL.md

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Geometry Algorithm Library Skill

Purpose

Implement computational geometry algorithms for competitive programming and algorithmic problems.

Capabilities

Convex hull (Graham scan, Andrew's monotone chain)
Line intersection algorithms
Closest pair of points
Point in polygon tests
Voronoi diagram, Delaunay triangulation
Polygon clipping

Target Processes

computational-geometry

Algorithm Catalog

Convex Hull

Graham scan O(n log n)
Andrew's monotone chain O(n log n)
Jarvis march O(nh)

Intersection Algorithms

Line sweep for segment intersection
Bentley-Ottmann algorithm
Polygon intersection

Distance Problems

Closest pair of points O(n log n)
Farthest pair (rotating calipers)
Point-polygon distance

Triangulation

Ear clipping O(n^2)
Delaunay triangulation
Voronoi diagram

Input Schema

{
  "type": "object",
  "properties": {
    "algorithm": { "type": "string" },
    "variant": { "type": "string" },
    "language": {
      "type": "string",
      "enum": ["cpp", "python", "java"]
    },
    "includeVisualization": { "type": "boolean", "default": false }
  },
  "required": ["algorithm"]
}

Output Schema

{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "code": { "type": "string" },
    "complexity": { "type": "object" },
    "usage": { "type": "string" }
  },
  "required": ["success", "code"]
}