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vipankumar87

MCP Multi-Tool Server

by vipankumar87

factorial

Calculate the factorial of a non-negative integer to solve mathematical problems involving permutations, combinations, or recursive calculations.

Instructions

Calculate the factorial of a non-negative integer.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes

Implementation Reference

  • The handler function implementing the logic for the 'factorial' MCP tool. It validates the input integer n (non-negative and <=100) and computes factorial using math.factorial.
    def factorial(n: int) -> int:
        """Calculate the factorial of a non-negative integer."""
        if n < 0:
            raise ValueError("Factorial is not defined for negative numbers")
        if n > 100:
            raise ValueError("Number too large for factorial calculation")
        return math.factorial(n)
  • server.py:107-107 (registration)
    The @mcp.tool() decorator registers the factorial function as an MCP tool, making it available for invocation.
    @mcp.tool()
Behavior2/5

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

No annotations are provided, so the description carries full burden. It states the operation ('calculate') and constraint ('non-negative integer'), but doesn't disclose behavioral traits like error handling for invalid inputs, computational limits, or output format. For a mathematical tool with no annotation coverage, this leaves significant gaps in understanding how the tool behaves.

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 a single, clear sentence with zero waste. It's appropriately sized for a simple mathematical function and front-loads the essential information without unnecessary elaboration.

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

Completeness3/5

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

Given the tool's low complexity (single parameter, no output schema, no annotations), the description is minimally adequate. It covers the basic operation and parameter constraint but lacks details on output format, error conditions, or performance characteristics that would be helpful for an agent to use it correctly in varied contexts.

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

Parameters4/5

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

The description adds meaningful context beyond the input schema: it specifies that parameter 'n' must be a 'non-negative integer,' which clarifies the semantic constraint not evident in the schema's type definition alone. With 0% schema description coverage and only one parameter, this adequately compensates for the schema's lack of descriptive detail.

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: 'Calculate the factorial of a non-negative integer.' It specifies the verb ('calculate') and resource ('factorial'), though it doesn't explicitly differentiate from sibling mathematical tools like 'power' or 'multiply' beyond the mathematical operation itself.

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 like 'power' or other mathematical operations. It mentions 'non-negative integer' as a constraint, but this is more of a parameter requirement than usage context. No explicit when/when-not or alternative tool references are included.

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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