lucas
Compute the nth Lucas number for any non-negative integer n.
Instructions
Compute the nth Lucas number.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| n | Yes | Non-negative integer. |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| result | Yes |
Compute the nth Lucas number for any non-negative integer n.
Compute the nth Lucas number.
| Name | Required | Description | Default |
|---|---|---|---|
| n | Yes | Non-negative integer. |
| Name | Required | Description | Default |
|---|---|---|---|
| result | Yes |
Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries full burden for behavioral disclosure. It does not mention any edge cases, input constraints beyond non-negativity, or output details (e.g., integer overflow for large n).
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.
Is the description appropriately sized, front-loaded, and free of redundancy?
The description is a single sentence with no unnecessary words. It is well-structured and front-loads the essential information.
Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.
Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a simple one-parameter mathematical tool, the description is minimal but adequate. However, it lacks context about the Lucas sequence (e.g., recurrence relation) which would help an agent unfamiliar with the term.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.
Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?
Input schema has 100% coverage with description 'Non-negative integer.' for parameter n. The tool description adds no additional meaning beyond the schema, so baseline score of 3 applies.
Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.
Does the description clearly state what the tool does and how it differs from similar tools?
The description 'Compute the nth Lucas number' clearly states the action (compute) and the resource (nth Lucas number). It is concise and specific, distinguishing it from sibling tools like 'fibonacci'.
Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.
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 like 'fibonacci'. There is no mention of prerequisites, limitations, or appropriate contexts.
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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