Geometry Primitive Library Skill

Purpose

Provide robust implementations of computational geometry primitives with proper handling of edge cases and numerical precision.

Capabilities

• Point, line, segment, polygon classes
• Cross product, dot product operations
• CCW/CW orientation tests
• Area calculations
• Intersection tests
• Distance calculations

Target Processes

• computational-geometry

Geometric Primitives

Point Operations

• Point addition, subtraction
• Scalar multiplication
• Dot product
• Cross product
• Distance calculation

Line/Segment Operations

• Line-line intersection
• Segment-segment intersection
• Point-line distance
• Point-segment distance
• Parallel/perpendicular tests

Polygon Operations

• Area calculation (signed and unsigned)
• Point in polygon test
• Polygon centroid
• Convexity test

Input Schema

json
{
  "type": "object",
  "properties": {
    "primitive": {
      "type": "string",
      "enum": ["point", "line", "segment", "polygon", "circle"]
    },
    "operations": { "type": "array" },
    "language": {
      "type": "string",
      "enum": ["cpp", "python", "java"]
    },
    "useInteger": { "type": "boolean", "default": false },
    "epsilon": { "type": "number" }
  },
  "required": ["primitive"]
}

Output Schema

json
{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "code": { "type": "string" },
    "operations": { "type": "array" },
    "precisionNotes": { "type": "string" }
  },
  "required": ["success", "code"]
}