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calculator-mcp-server

calculator-mcp-server

by Amankhan1009
OverviewSchemaSourceRelated ServersDiscussionsAdmin
Python

square_root

Read-onlyIdempotent

Compute the square root of a non-negative number, returning the exact result or raising an error for negative inputs.

Instructions

Compute the square root of a number.

Args: number: The number to take the square root of. Must be non-negative.

Returns: The square root of number.

Raises: NegativeSquareRootError: If number is negative.

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "number": "<number>"
    },
    "name": "square_root"
  }
}

Input Schema

NameRequiredDescriptionDefault
numberYes

Output Schema

NameRequiredDescriptionDefault
resultYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. First observedv0.1.0

TDQS

A4.4/5.0
Behavior4/5

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

Annotations already declare the tool as read-only, idempotent, and non-destructive. The description adds valuable context: the input must be non-negative and a NegativeSquareRootError is raised otherwise. This goes beyond the safety profile to disclose functional constraints and error behavior.

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 compact and well-structured, using Args/Returns/Raises sections. Every sentence serves a purpose, with no redundant filler.

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

Completeness5/5

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

Given the simplicity of the tool (one parameter, pure function), the description is complete. It specifies input, output, and error condition, complementing the existing output schema without needing to repeat return format.

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?

The schema provides only the parameter name and type (number), with 0% coverage in the schema description. The description fully compensates by explaining the parameter's meaning ('The number to take the square root of') and the non-negative constraint.

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 operation ('Compute the square root of a number') with a specific verb and resource. It unambiguously distinguishes from the arithmetic sibling tools (add, subtract, etc.) by naming the exact mathematical operation.

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

Usage Guidelines3/5

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

The description does not explicitly state when to use this tool over alternatives. The use case is implied by the function name and description, but no exclusions or alternative tool references are given.

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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