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PolarisHub

Math-MCP

by PolarisHub

look_at_view_matrix

Compute a world-to-view matrix from camera position, target, and up vector, supporting right- or left-handed coordinate systems.

Instructions

Creates a row-major look-at world-to-view matrix for a right- or left-handed coordinate system

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
upYesApproximate camera-up direction
eyeYesCamera world position
targetYesWorld position the camera looks toward
handednessNoDefaults to right-handed, where the camera looks down negative view-space Z
Behavior3/5

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

With no annotations provided, the description must disclose behavioral traits. It states the output is a row-major matrix for a look-at view transformation and mentions handedness, but it does not address edge cases (e.g., up vector parallel to view direction) or failure modes. This is adequate but not comprehensive.

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

Conciseness5/5

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

The description is a single, concise sentence that front-loads the core purpose. It contains no extraneous words or redundant information.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness3/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the absence of an output schema, the description should explain the return value more fully. It implies a 4x4 matrix but does not specify the format or structure. It also lacks explanation of error conditions or validation. While it covers the essential transformation, it is not fully complete.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%; all parameters have descriptive definitions. The tool description adds 'row-major' and coordinate system context, but this does not significantly enhance understanding beyond the schema. Baseline 3 is appropriate.

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

Purpose5/5

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

The description uses a specific verb ('Creates') and clearly identifies the resource ('row-major look-at world-to-view matrix'). It distinguishes from siblings by mentioning support for right- or left-handed coordinate systems, which is a unique feature among related tools like 'world_to_view'.

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?

The description does not provide guidance on when to use this tool versus alternatives such as 'world_to_view' or 'perspective_projection_matrix'. It lacks explicit context like prerequisites, suitable scenarios, or when not to use it.

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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