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IBM

MCP Math Server

by IBM

geom_point_in_polygon

Determine if a point lies within a polygon using ray casting. Input coordinates to verify spatial containment for geometry applications.

Instructions

Check if a point is inside a polygon using ray casting algorithm (Domain: geometry, Category: general)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
pointYes
polygonYes
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full burden. It mentions the algorithm (ray casting) but does not disclose behavioral traits such as input format expectations (e.g., coordinate strings), performance characteristics, edge cases (e.g., points on polygon boundaries), or output format. This leaves significant gaps for a tool with two required parameters.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is concise and front-loaded with the core purpose in the first clause. It efficiently includes the algorithm and domain/category without unnecessary details. However, it could be more structured by explicitly separating purpose from context.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the complexity (geometry algorithm with two parameters), lack of annotations, no output schema, and 0% schema coverage, the description is incomplete. It does not cover parameter semantics, behavioral details, or output expectations, making it inadequate for reliable tool invocation without external knowledge.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters1/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The schema description coverage is 0%, and the description provides no information about the parameters 'point' and 'polygon'. It does not explain what these parameters represent (e.g., coordinate formats like 'x,y' for point, array of vertices for polygon), their expected data types, or constraints. This fails to compensate for the lack of schema documentation.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the tool's purpose: 'Check if a point is inside a polygon' with the specific algorithm 'ray casting'. It distinguishes itself from siblings by specifying the domain (geometry) and category (general), but does not explicitly differentiate from potential similar geometry tools (e.g., geom_polygon_area, geom_distance) in terms of when to use this specific check.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No explicit guidance on when to use this tool versus alternatives is provided. The description mentions the domain and category, but does not specify scenarios, prerequisites, or comparisons to sibling tools (e.g., geom_polygon_area for area calculations). Usage is implied by the purpose statement alone.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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