feat: implement DTW comparison, add data segmentation and persistence, and update QML UI for file imports and graphing.

src/pygui/backend/comparison.py

@@ -0,0 +1,29 @@
+"""Dynamic Time Warping comparision between two temperature runs."""
+
+import numpy as np
+from dtw import dtw
+
+
+def compare_runs(series_a: list[float], series_b: list[float]) -> dict:
+    """Compute DTW alignment between 2 average-temperature series.
+
+Returns:
+    dict with keys:
+    - distance: float - warping distance
+    - index_a: list[int] - warping path indices into series_a
+    - index_b: list[int] - warping path indices into series_b
+    - warping_path: list[tuple[int,int]] - paired indices
+"""
+    x = np.array(series_a, dtype=float)
+    y = np.array(series_b, dtype=float)
+
+    if x.size == 0 or y.size == 0:
+        return {"distance": float('inf'), "index_a": [],"index_b": [], "warping_path": []}
+
+    alignment = dtw(x, y, keep_internals=True)
+    return {
+        "distance": float(alignment.distance),
+        "index_a": alignment.index1.tolist(),
+        "index_b": alignment.index2.tolist(),
+        "warping_path": list(zip(alignment.index1.tolist(), alignment.index2.tolist()))
+    }