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amichae2

Math MCP Server

by amichae2

interpolate

Interpolate scattered one-dimensional data points to estimate values at arbitrary positions using methods like cubic spline.

Instructions

Interpolate scattered one-dimensional data.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
x_dataYes
y_dataYes
methodNocubic_spline
x_evalNo
num_pointsNo
kNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior1/5

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

No annotations exist, and the description fails to disclose any behavioral traits such as output format, error handling, or side effects. This is a significant gap.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness2/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The single sentence is too terse to be informative, lacking structure. While short, it does not earn its place by providing adequate context.

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

Completeness1/5

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

Given the tool's 6 parameters, 0% coverage, and no annotations, the description is severely incomplete. It fails to explain return values (output schema exists but unaddressed) or parameter roles.

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

Parameters1/5

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

With 0% schema description coverage, the description must compensate but adds no parameter information. Parameter names (e.g., x_data, method) are left entirely to the agent's inference.

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 uses the specific verb 'interpolate' and resource 'scattered one-dimensional data', which clearly indicates the tool's function. While it distinguishes from sibling 'curve_fit' by nature, it does not explicitly contrast them.

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 curve_fit or find_root. No context on prerequisites or scenarios is given.

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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