Skip to main content
Glama
tresor4k

macalc

calculate_ellipse

Compute ellipse area and approximate perimeter using semi-major and semi-minor axes. Ideal for elliptical fields, tracks, or design.

Instructions

Compute ellipse area A=π·a·b and approximate perimeter (Ramanujan). Use for elliptical fields, tracks, or design. Inputs: semi-major a, semi-minor b. Returns area and perimeter. See list_bundles for related 'math' calculators.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
aYesSemi-major axis
bYesSemi-minor axis

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultNoComputed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools).
formulaNoHuman-readable formula or method used (e.g. "I=P·r·t", "Magnus formula").
sourceNoAuthoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21").
reference_urlNoLink to a calcul2 page documenting the calculation in detail.
Behavior3/5

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

No annotations provided. Description discloses behavior: computes area and perimeter using given formulas. Does not mention edge cases (e.g., zero input) or performance characteristics. Adequate for a simple read-only calculation.

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?

Three concise sentences. Front-loaded with purpose and formula. No wasted words. Efficient and scannable.

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?

Covers purpose, formula, inputs, returns, and usage context. Points to sibling for related tools. Lacks specifics on units or return format, but output schema likely provides that. Good completeness for a simple tool.

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?

Schema already describes parameters with full coverage (100%). Description reinforces by naming semi-major and semi-minor axes and showing formula. Adds minimal extra meaning beyond schema.

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 clearly states the tool computes ellipse area and perimeter using specific formulas, and explicitly mentions use cases (elliptical fields, tracks, design). It differentiates from siblings by noting related calculators via list_bundles.

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?

Provides usage context ('elliptical fields, tracks, or design') and directs to list_bundles for related math calculators. Lacks explicit when-not-to-use or alternatives, but sufficient for a straightforward calculation tool.

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

Install Server

Other Tools

Latest Blog Posts

MCP directory API

We provide all the information about MCP servers via our MCP API.

curl -X GET 'https://glama.ai/api/mcp/v1/servers/tresor4k/macalc-mcp'

If you have feedback or need assistance with the MCP directory API, please join our Discord server