paper-equation-implementation

name	paper-equation-implementation
description	Guide implementation and review of algorithms from papers, equations, or technical references.

Paper Equation Implementation

When to Use

Use when a worker job maps equations, algorithms, or methods from a paper or technical reference into code.

Checklist

• Map paper notation to code names explicitly.
• Preserve equation numbers or reference labels in comments, docs, or tests when useful.
• Document assumptions, approximations, boundary conditions, and units.
• Test limiting cases and simple analytic cases.
• Check dimensions and array shapes against the equations.
• Avoid silent formula changes to make tests pass.
• Separate reference implementation from optimized implementation where practical.

Output Format

Return:

1. Equation-to-code mapping.
2. Assumptions and conventions.
3. Tests and limiting cases.
4. Validation references.
5. Risks or ambiguities.

Common Failure Modes

• Off-by-one indexing changes mathematical meaning.
• Transposed dimensions or layout assumptions are undocumented.
• Constants are copied without units.
• Formula changes are hidden in implementation details.
• Tests validate only one nominal case.