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sympy_fresnelc

Compute the Fresnel C integral symbolically for any input expression. Solve problems in diffraction and wave optics with exact results.

Instructions

Fresnel C.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior1/5

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

With no annotations, the description must disclose behavior. It fails to mention that this is a mathematical function (Fresnel C integral), whether it is read-only, or what output to expect. The agent cannot infer safety 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.

Conciseness2/5

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

While the description is short, it is under-specified. Being concise would require providing key information in few words; here it provides no information beyond the name.

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 complexity of Fresnel C and the presence of a sibling tool, the description is completely inadequate. It does not help an agent determine correct usage or interpret output, even though an output schema exists.

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?

The schema has 1 parameter 'expr' with 0% description coverage. The description adds no meaning to 'expr', such as expected format (e.g., symbolic expression) or constraints.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose2/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description 'Fresnel C.' simply restates the tool name without specifying a verb or differentiating from the sibling tool sympy_fresnels. It lacks clarity on what action the tool performs (e.g., compute, evaluate).

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 like sympy_fresnels. There are no context or exclusion hints, leaving the agent to guess.

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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