dtft_signal

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

No annotations are present, and the description only mentions computation and return value. It does not disclose any behavioral aspects such as input format requirements, symbolic vs numerical computation, error handling, or side effects.

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 concise, consisting of two short sentences with no redundant information. It directly states the action and the return value.

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?

Given the complexity of DTFT, the description lacks essential context such as expected input format, variable conventions, and return structure. There is no output schema provided, leaving the agent to guess the result format.

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?

The only parameter 'expression' has no description in the schema or the tool description. The description references x[n] but does not clarify what the expression should contain (e.g., symbolic function, variable names, or format).

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 clearly states the tool computes the Discrete-Time Fourier Transform (DTFT) of x[n], which is a specific operation on a specific resource. It distinguishes itself from sibling transforms like continuous Fourier, Laplace, and Z transforms.

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?

The description implies usage for discrete-time signals but does not explicitly state when to prefer DTFT over alternatives. No direct comparison or guidance is provided, so usage is inferred rather than explicitly communicated.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.