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91895bb | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 | # Complete 3-D Cross-n FOURIN Spectral Coupling
You are given a reduced source snapshot from a TERPSICHORE-style ideal MHD
stability workflow.
The current implementation handles simpler spectral settings, but the included
3-D plasma-only reproduction exposes an incomplete capability: cross-n spectral
coupling is not consistently preserved through the coefficient and downstream
matrix/energy path.
Inspect the source and run:
```bash
python reproduce.py
```
The reproduction writes the candidate workflow's raw observations under
`outputs/`. The command returns nonzero if those observations are empty,
incomplete, or non-finite; it does not apply verifier-only capability
thresholds.
Your task is to complete the implementation so that a genuinely
three-dimensional mode set with multiple toroidal `n` groups is handled
consistently.
The intended capability chain is:
```text
mode table -> trigonometric lookup -> branch metadata reduction -> FOURIN coefficients -> matrix assembly -> energy accounting
```
Do not hard-code:
- the included case;
- a fixed list of expected numbers;
- a fixed mode table;
- a single coefficient or matrix block.
Do not bypass the coefficient path by writing directly into matrix outputs. The
implementation should support the general 3-D spectral-coupling workflow
represented by the supplied task.
Internet access is not available during evaluation.
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