calculator

complex_conjugate

complex_conjugate

Calculate the complex conjugate of any number by providing real and imaginary components. This tool helps simplify complex number operations in mathematical calculations.

Instructions

计算复数的共轭

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": {
      "real": "<real>",
      "imag": "<imag>"
    },
    "name": "complex_conjugate"
  }
}

Input Schema

Name	Required	Description	Default
`real`	Yes
`imag`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

First observedv1.0.0Jan 5, 2026

TDQS

C2.4/5.0

Behavior1/5

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

No annotations are provided, so the description carries full burden but adds no behavioral details. It doesn't disclose whether this is a read-only operation, what the output format is, error handling, or performance considerations. For a mathematical tool with no annotations, this is a significant gap in transparency.

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, efficient sentence in Chinese that directly states the tool's function. It's front-loaded with no wasted words, making it highly concise and well-structured for its purpose.

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

Completeness2/5

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

Given no annotations, no output schema, and low schema coverage, the description is incomplete. It doesn't cover behavioral aspects, parameter meanings, or output details. For a mathematical tool with 2 parameters, this leaves significant gaps in understanding how to use it effectively.

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

Parameters2/5

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

Schema description coverage is 0%, so the description must compensate but adds no parameter information. It doesn't explain what 'real' and 'imag' represent, their units, or constraints. With 2 undocumented parameters, the description fails to provide meaningful semantics beyond the schema.

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

Purpose3/5

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

The description '计算复数的共轭' (calculates the complex conjugate) states the verb and resource but is vague about scope and differentiation. It doesn't specify whether it handles single numbers or arrays, or how it differs from sibling tools like complex_add or complex_magnitude. The purpose is clear but lacks specificity and sibling distinction.

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?

No guidance is provided on when to use this tool versus alternatives. The description doesn't mention prerequisites, context, or exclusions, such as when to choose complex_conjugate over other complex operations like complex_polar or complex_argument. Usage is implied from the name but not explicitly stated.

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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