"""GCC-PHAT pairwise audio offsets + global graph solve + drift (spec M1, lane A). STUB — lane A fills the bodies; the public signatures below are frozen (``cli.py`` calls ``run_sync``). Algorithm (spec M1, for lane A's reference): - **GCC-PHAT**, not raw cross-correlation: whiten the cross-spectrum ``R = X * conj(Y); R /= |R| + eps; r = irfft(R)`` — robust to loud/clipped/reverberant concert audio. numpy/scipy FFTs; librosa only for loading. - All **pairwise** offsets, each scored by peak-to-second-peak ratio; then a global least-squares solve over the offset graph, weighted by confidence, rejecting pairs that violate cycle consistency (``off_ab + off_bc - off_ac > 50 ms``). - **Drift**: re-run GCC-PHAT on 10 s windows every 30 s along the overlap; fit a line; store the slope as ``drift_ppm`` (store 0 if ``|drift| < 5 ppm``). - Disconnected sync-graph components -> ``offset_ms = None`` (never a guess; spec pitfall #5). - Persist via ``db.update_video_sync`` and export ``config.SYNC_JSON``. """ from __future__ import annotations import logging import numpy as np log = logging.getLogger("festival4d.audio_sync") def gcc_phat(sig: np.ndarray, ref: np.ndarray, sr: int, max_lag_s: float | None = None) -> tuple[float, float]: """GCC-PHAT time delay of ``sig`` relative to ``ref`` (spec M1, lane A). Returns ``(offset_s, confidence)`` where confidence is the peak-to-second-peak ratio. """ raise NotImplementedError("lane A (M1): implement gcc_phat") def pairwise_offsets(signals: dict[int, np.ndarray], sr: int) -> list[dict]: """All pairwise GCC-PHAT offsets with confidences (spec M1, lane A). ``signals`` maps ``video_id -> mono samples``. Returns a list of ``{a, b, offset_s, confidence}`` edges. """ raise NotImplementedError("lane A (M1): implement pairwise_offsets") def solve_global_offsets(edges: list[dict], video_ids: list[int]) -> dict[int, float | None]: """Least-squares global solve over the pairwise-offset graph (spec M1, lane A). Reference node is pinned to 0; disconnected components get ``None`` (spec pitfall #5). Returns ``video_id -> offset_ms`` (or ``None``). """ raise NotImplementedError("lane A (M1): implement solve_global_offsets") def estimate_drift(sig: np.ndarray, ref: np.ndarray, sr: int) -> float: """Estimate clock drift in ppm by fitting window-offsets over the overlap (spec M1).""" raise NotImplementedError("lane A (M1): implement estimate_drift") def run_sync() -> dict: """Sync every ingested video: pairwise GCC-PHAT, global solve, drift, persist. Entrypoint for ``python -m festival4d sync``. Writes ``offset_ms``/``drift_ppm``/ ``sync_confidence`` via ``db`` and exports ``config.SYNC_JSON``. Returns the solution. """ raise NotImplementedError("lane A (M1): implement run_sync")