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Popcount

popcount
Read-onlyIdempotent

The number of 1 bits in n. 0 has none, 255 has 8, and 256 has 1. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/popcount

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": {
      "n": "<n>"
    },
    "name": "popcount"
  }
}

Input Schema

NameRequiredDescriptionDefault
nYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added

TDQS

A3.8/5.0
Behavior4/5

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

Annotations already declare the operation read-only, idempotent, open-world, and non-destructive. The description adds useful behavioral context beyond that: it charges $0.001 USDC per successful call via x402 on Solana and exposes the same operation over HTTPS.

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 front-loaded with the core definition and examples, then adds only operationally relevant pricing and endpoint details. Each sentence contributes information, with no 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?

For a simple one-parameter math tool with rich annotations and no output schema, the description is complete enough to invoke correctly. It explains the computation, input range, examples, cost, and alternate transport.

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?

Schema description coverage is 0%, so the description must carry parameter meaning. It does so by naming n, giving its valid range, and illustrating behavior with 0, 255, and 256, though it duplicates the min/max already present in the schema.

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 states a specific computation: 'The number of 1 bits in n,' with examples that make the operation unambiguous. It does not explicitly distinguish itself from adjacent sibling tools such as bit_length or byte_sum, so it falls short of the top score.

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 gives the input range, examples, pricing, and an HTTPS endpoint, but it does not say when to choose this tool over alternatives. In a large sibling set containing bit_length, bit_reverse, byte_sum, and many bit-related tools, this leaves selection guidance largely absent.

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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