SWE-bench-Science / tasks /task_013 /instruction.md
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Establish boundary-regime operator and energy closure in the TERPSICHORE-native path

You are given a reduced source snapshot from a TERPSICHORE-style ideal MHD stability workflow.

The current implementation already supports a simpler baseline stability path, but the included fixed-boundary reproduction exposes an incomplete capability: once the problem definition moves from free boundary into progressively more constrained fixed-boundary settings, the reduced implementation no longer carries that meaning coherently through coefficient construction, potential/kinetic operator assembly, and interval/scalar energy diagnostics.

Inspect the source and run:

python reproduce.py

The reproduction writes the observed boundary profiles, interval quantities, and adjacent-regime contrasts under outputs/. The command returns nonzero if those observations are empty, incomplete, or non-finite; it does not apply verifier-only boundary-regime thresholds.

Your task is to complete the implementation so that a ladder of boundary regimes is handled consistently through the full reduced capability chain.

The intended capability chain is:

boundary problem definition -> interval-wise boundary response -> coefficient tensors -> potential/kinetic operator blocks -> interval energy -> scalar interpretation

Do not hard-code:

  • the included boundary ladder;
  • a single list of expected numbers;
  • only the final growth-rate-like scalar;
  • only one matrix block while leaving the interval-energy path inconsistent.

Do not bypass the coefficient/operator path by writing directly into the final report. The implementation should support the general boundary-regime workflow represented by the supplied task.

Internet access is not available during evaluation.