inverse_fourier_transform_signal

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

No annotations are provided, so the description carries the burden of behavioral disclosure. It states the core operation and return value but does not mention input syntax, variable naming conventions, assumptions about the transform, or possible failure cases. Basic transparency is present, but little depth is added beyond the headline behavior.

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 two short sentences with no filler. The operation appears first and the return value second, making it immediately scannable and information-dense.

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 one-parameter mathematical transform tool with an output schema, the description covers the essential operation and result. However, it lacks guidance on how to format the expression, which variable represents frequency, and when the transform is appropriate, leaving an agent to infer important invocation details.

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 schema only provides the parameter name 'expression' with no description coverage. The description adds meaning by indicating that the parameter represents F(w), the frequency-domain function to be transformed. It does not explain the expression syntax or expected variables, but for a single parameter this is a useful supplement.

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 uses a specific verb 'Computes' and clearly identifies the resource as the 'Inverse Fourier transform of F(w)', with the return value stated as 'f(t)'. This clearly distinguishes it from sibling tools like fourier_transform_signal, which performs the forward transform.

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 its use case: when the time-domain function f(t) is needed from a frequency-domain F(w). However, it does not explicitly state when to use this tool versus alternatives such as fourier_transform_signal or inverse_laplace_transform_signal, nor does it provide any exclusion guidance.

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