continued_fraction
Convert a rational number to its continued fraction representation with convergents.
This record as markdown: /tools/io-github-malamutemayhem-unclick-mcp-server/continued-fraction.md
What continued_fraction does on UnClick
AI agents call continued_fraction to retrieve information from UnClick without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.
| Parameter | Type | Required | Description |
|---|---|---|---|
max_terms | number | — | Maximum number of terms (default 50) |
numerator | number | Yes | Numerator of the rational number |
denominator | number | Yes | Denominator of the rational number |
Parameters from the server's own tool schema.
Why continued_fraction is rated Low
The tool performs a mathematical transformation on input (a rational number) and returns a computed result (continued fraction representation). This is purely computational and retrieves/returns derived data with no irreversible actions, external commands, or state changes. It falls squarely into the Read category.
From the tool's definition Tool converts a rational number to its continued fraction representation with convergents. This is a pure mathematical computation with no side effects, no data modification, no code execution, and no external system interaction.
Attacks that exploit this kind of access
The rule that runs continued_fraction safely
PolicyLayer is an MCP gateway: it sits between your AI agents and UnClick, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For continued_fraction, this is the rule to start with:
continued_fraction is read-only, so it stays allowed. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect UnClick, apply this rule, and every continued_fraction call is checked against it from then on.
Questions about continued_fraction
Convert a rational number to its continued fraction representation with convergents. It is categorised as a Read tool in the UnClick MCP Server, which means it retrieves data without modifying state.
continued_fraction accepts 3 parameters: max_terms, numerator, denominator. Required: numerator, denominator. The full parameter table on this page comes from the server's own tool schema.
Register the UnClick MCP server in PolicyLayer and add a rule for continued_fraction: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches UnClick. Nothing to install.
continued_fraction is a Read tool with low risk. Read-only tools are generally safe to allow by default.
Yes. Add a rate_limit block to the continued_fraction rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.
Set action: deny in the PolicyLayer policy for continued_fraction. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.
continued_fraction is provided by the UnClick MCP server (@unclick/mcp-server). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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