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IBM

MCP Math Server

by IBM

gradians_to_radians

Convert angle measurements from gradians to radians for trigonometric calculations and mathematical analysis.

Instructions

Convert gradians to radians. (Domain: trigonometry, Category: angle_conversion)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
gradiansYes
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 states the conversion action but lacks behavioral details such as input validation (e.g., handling negative values or non-numeric inputs), output format, error handling, or performance characteristics. This is a significant gap for a tool with no annotation coverage.

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

Conciseness5/5

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

The description is highly concise and front-loaded, consisting of a single sentence that directly states the tool's purpose and context. There is no wasted verbiage, making it efficient for quick understanding.

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 lack of annotations and output schema, the description is incomplete. It does not cover behavioral aspects, parameter details beyond naming, or output information. For a simple conversion tool, more context on input handling and result format would improve completeness.

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

Parameters3/5

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

The schema description coverage is 0%, but the description adds minimal value by naming the parameter ('gradians'). However, it does not explain the parameter's semantics (e.g., units, expected range, or conversion formula). With one parameter and low schema coverage, the description partially compensates but leaves key details undocumented.

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: converting gradians to radians, specifying the domain (trigonometry) and category (angle_conversion). It uses a specific verb ('Convert') and resource ('gradians'), but does not explicitly differentiate from sibling tools like 'degrees_to_radians' or 'radians_to_gradians', which are similar angle conversion tools.

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?

The description provides no guidance on when to use this tool versus alternatives. It mentions the domain and category but does not specify scenarios, prerequisites, or compare it to sibling tools like 'degrees_to_radians' or 'gradians_to_degrees', leaving the agent without usage context.

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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