ellzeta
Compute the Weierstrass zeta function for an elliptic curve at a given point.
Instructions
Compute the Weierstrass zeta function.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| E | Yes | Elliptic curve structure. | |
| z | Yes | Point. |
Compute the Weierstrass zeta function for an elliptic curve at a given point.
Compute the Weierstrass zeta function.
| Name | Required | Description | Default |
|---|---|---|---|
| E | Yes | Elliptic curve structure. | |
| z | Yes | Point. |
Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
No annotations provided, so the description must carry full behavioral context. It only states the operation, omitting input requirements, output format, error conditions, 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?
A single, direct sentence with no filler. Perfectly concise and front-loaded.
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 specialized mathematical function, the description is insufficient. No explanation of output, argument interpretation, or relationship to other elliptic curve functions, especially given no output schema.
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?
Schema coverage is 100% with descriptions for both parameters. The description adds no additional meaning beyond the schema, so baseline score of 3 applies.
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 Weierstrass zeta function, a specific mathematical operation. However, it does not explicitly distinguish it from sibling tools like ellwp (Weierstrass p-function) or elleta, though the function name is distinct.
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?
No guidance on when to use this tool versus alternatives such as ellwp or ellinit. No prerequisites or typical use-cases mentioned.
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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