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apetta

Vibe Math MCP

by apetta

Unit Converter

convert_units
Read-onlyIdempotent

Convert angle units: degrees to radians or radians to degrees. Use this tool to transform angle measurements for geometry, trigonometry, or physics calculations.

Instructions

Convert between angle units: degrees ↔ radians.

Examples:

DEGREES TO RADIANS: value=180, from_unit="degrees", to_unit="radians" Result: 3.14159... (π)

RADIANS TO DEGREES: value=3.14159, from_unit="radians", to_unit="degrees" Result: 180

RIGHT ANGLE: value=90, from_unit="degrees", to_unit="radians" Result: 1.5708... (π/2)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
contextNoOptional annotation to label this calculation (e.g., 'Bond A PV', 'Q2 revenue'). Appears in results for easy identification.
output_modeNoOutput format: full (default), compact, minimal, value, or final. See batch_execute tool for details.full
valueYesValue to convert (e.g., 180, 3.14159)
from_unitYesSource unit
to_unitYesTarget unit

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior3/5

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

Annotations already declare readOnlyHint=true and idempotentHint=true. The description adds examples of expected conversions but does not detail the output format (though an output schema exists). No contradictions.

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 includes three examples, each adding clarity. It is slightly verbose but well-structured with clear headings. Could be more concise but remains effective.

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

Completeness4/5

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

With a complete schema and an output schema present, the description covers the essential use cases. It does not mention edge cases (e.g., negative values) but is sufficient for typical use.

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

Parameters5/5

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

Schema coverage is 100%, and the description includes concrete examples (e.g., value=180, from_unit='degrees', to_unit='radians') that clarify the parameter usage beyond enum lists.

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

Purpose5/5

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

The description states 'Convert between angle units: degrees ↔ radians' using a specific verb-resource pair. It clearly distinguishes from sibling tools like 'calculate' and 'financial_calcs' which handle different domains.

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

Usage Guidelines4/5

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

The description provides explicit examples of when to use the tool for degrees-to-radians and radians-to-degrees conversions. It lacks explicit 'when not to use' guidance, but the narrow scope makes it clear.

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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