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geometry-algorithm-library

Implement computational geometry algorithms

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技能内容

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"]
}

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它属于哪个仓库

星标★ 1,796
本站分层T1
该仓技能数2115
原文件路径library/specializations/algorithms-optimization/skills/geometry-algorithm-library/SKILL.md

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