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IBM

MCP Math Server

by IBM

linear_interpolate_sequence

Perform linear interpolation on a sequence of points to estimate values between known data points using mathematical computation.

Instructions

Perform linear interpolation on a sequence of points (Domain: numerical, Category: interpolation)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
x_pointsYes
y_pointsYes
xYes
Behavior1/5

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

No annotations are provided, and the description does not disclose any behavioral traits such as error handling, input validation, performance characteristics, or output format. It fails to compensate for the lack of structured metadata.

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

Conciseness4/5

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

The description is brief and to the point, consisting of a single sentence. However, the domain/category tags add minimal value and could be considered slightly verbose for the information conveyed.

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 lack of annotations, 0% schema description coverage, no output schema, and three parameters, the description is severely inadequate. It does not provide enough context for an agent to understand how to use the tool effectively.

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?

Schema description coverage is 0%, and the description does not explain the parameters at all. It does not clarify what 'x_points', 'y_points', and 'x' represent, their relationships, or any constraints beyond the schema's basic types.

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 states the tool performs linear interpolation on a sequence of points, which is a clear purpose. However, it does not differentiate from sibling tools like 'linear_interpolate' or 'lagrange_interpolate', and the domain/category tags are redundant rather than clarifying.

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 mentions domain and category but does not specify scenarios, prerequisites, or comparisons to other interpolation tools in the sibling list.

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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