| 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:
- Equation-to-code mapping.
- Assumptions and conventions.
- Tests and limiting cases.
- Validation references.
- 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.
