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