""" Route matching: identifies when multiple activities were on the same route. Uses a bounding-box pre-filter + dynamic time warping (DTW) for GPS track similarity. """ import math from typing import Optional import polyline as polyline_lib import numpy as np def decode_polyline_to_coords(encoded: str) -> list[tuple[float, float]]: return polyline_lib.decode(encoded) def bounding_boxes_overlap(bb1: dict, bb2: dict, tolerance_deg: float = 0.005) -> bool: """Quick check: do two bounding boxes overlap (with a tolerance margin)?""" return ( bb1["min_lat"] - tolerance_deg <= bb2["max_lat"] + tolerance_deg and bb1["max_lat"] + tolerance_deg >= bb2["min_lat"] - tolerance_deg and bb1["min_lon"] - tolerance_deg <= bb2["max_lon"] + tolerance_deg and bb1["max_lon"] + tolerance_deg >= bb2["min_lon"] - tolerance_deg ) def sample_coords(coords: list[tuple], n: int = 100) -> list[tuple]: """Downsample a track to n evenly-spaced points for DTW efficiency.""" if len(coords) <= n: return coords indices = [int(i * (len(coords) - 1) / (n - 1)) for i in range(n)] return [coords[i] for i in indices] def dtw_distance(track1: list[tuple], track2: list[tuple]) -> float: """ Compute DTW distance between two GPS tracks. Each point is (lat, lon). Returns average distance in metres per matched pair. """ n, m = len(track1), len(track2) dtw = np.full((n + 1, m + 1), np.inf) dtw[0][0] = 0.0 for i in range(1, n + 1): for j in range(1, m + 1): cost = haversine_m(track1[i-1], track2[j-1]) dtw[i][j] = cost + min(dtw[i-1][j], dtw[i][j-1], dtw[i-1][j-1]) return dtw[n][m] / max(n, m) def haversine_m(p1: tuple, p2: tuple) -> float: R = 6371000 lat1, lon1 = math.radians(p1[0]), math.radians(p1[1]) lat2, lon2 = math.radians(p2[0]), math.radians(p2[1]) dlat = lat2 - lat1 dlon = lon2 - lon1 a = math.sin(dlat/2)**2 + math.cos(lat1)*math.cos(lat2)*math.sin(dlon/2)**2 return 2 * R * math.asin(math.sqrt(a)) def routes_are_similar( poly1: str, poly2: str, bb1: Optional[dict], bb2: Optional[dict], dtw_threshold_m: float = 80.0, dist1: Optional[float] = None, dist2: Optional[float] = None, ) -> bool: """ Returns True if two activities are on sufficiently similar routes. First does a cheap bounding box check, then DTW on downsampled tracks. When dist1/dist2 are provided: - Rejects if distance differs by more than 2.5% - Uses 3% of route distance as the DTW threshold (capped at 300m) """ if dist1 and dist2 and dist1 > 0 and dist2 > 0: if abs(dist1 - dist2) / max(dist1, dist2) > 0.025: return False dtw_threshold_m = min(max(dist1, dist2) * 0.03, 300.0) if bb1 and bb2: if not bounding_boxes_overlap(bb1, bb2): return False try: coords1 = sample_coords(decode_polyline_to_coords(poly1), 60) coords2 = sample_coords(decode_polyline_to_coords(poly2), 60) except Exception: return False if not coords1 or not coords2: return False dist = dtw_distance(coords1, coords2) return dist < dtw_threshold_m def match_segment_in_activity( seg_coords: list[tuple], act_coords: list[tuple], act_times: list, tol_m: float = 30.0, ) -> Optional[float]: """ Determine whether an activity track traverses a segment's GPS geometry in the segment's own direction, and if so how long the fastest such traversal took. Works even when the activity's overall route differs — only the overlapping stretch matters. seg_coords: [(lat, lon), ...] segment geometry (start → end). act_coords: [(lat, lon), ...] activity track, in time order. act_times: parallel list of datetimes for act_coords. Strategy: for every pass of the activity near the segment START, walk forward accumulating path length; accept the traversal only if the activity reaches the segment END after covering roughly the segment's own length (so an out-and-back route can't match an early start to a late finish), and the intermediate segment points are passed in order. Returns the shortest valid traversal time, or None. """ n = len(act_coords) m = len(seg_coords) if n < 2 or m < 2: return None start_pt, end_pt = seg_coords[0], seg_coords[-1] seg_len = sum(haversine_m(seg_coords[k], seg_coords[k + 1]) for k in range(m - 1)) if seg_len <= 0: return None near_start = lambda i: haversine_m(act_coords[i], start_pt) <= tol_m # One candidate entry per pass through the start region (first point of each run). entries = [i for i in range(n) if near_start(i) and (i == 0 or not near_start(i - 1))] best = None for si in entries: path = 0.0 ei = None for i in range(si + 1, n): path += haversine_m(act_coords[i - 1], act_coords[i]) if path > seg_len * 1.5: # wandered too far without finishing → wrong pass/direction break if path >= seg_len * 0.6 and haversine_m(act_coords[i], end_pt) <= tol_m: ei = i break if ei is None: continue # Confirm the activity follows the segment shape in order between the anchors. ok = True for frac in (0.25, 0.5, 0.75): sp = seg_coords[int(frac * (m - 1))] if not any(haversine_m(act_coords[k], sp) <= tol_m for k in range(si, ei + 1)): ok = False break if not ok: continue dur = (act_times[ei] - act_times[si]).total_seconds() if dur > 0 and (best is None or dur < best): best = dur return best def find_best_split_time( data_points: list[dict], target_distance_m: float, ) -> Optional[float]: """ Find the best (fastest) time over any target_distance_m window within an activity. E.g. fastest 1km split in a 10km run. Returns duration in seconds. """ points_with_dist = [ p for p in data_points if p.get("distance_m") is not None and p.get("timestamp") is not None ] if not points_with_dist: return None best = None j = 0 for i, start_p in enumerate(points_with_dist): start_dist = start_p["distance_m"] start_ts = start_p["timestamp"] # Advance j until distance covered >= target while j < len(points_with_dist): end_p = points_with_dist[j] covered = end_p["distance_m"] - start_dist if covered >= target_distance_m: from datetime import datetime t1 = datetime.fromisoformat(start_ts) if isinstance(start_ts, str) else start_ts t2 = datetime.fromisoformat(end_p["timestamp"]) if isinstance(end_p["timestamp"], str) else end_p["timestamp"] duration = (t2 - t1).total_seconds() if best is None or duration < best: best = duration break j += 1 if j >= len(points_with_dist): break return best STANDARD_DISTANCES = [ (400, "400m"), (800, "800m"), (1000, "1k"), (1609.34, "1 mile"), (3000, "3k"), (5000, "5k"), (10000, "10k"), (21097.5, "Half marathon"), (42195, "Marathon"), (50000, "50k"), (100000, "100k"), ] def compute_best_splits(data_points: list[dict], total_distance_m: float) -> dict[str, float]: """Compute best split times for all standard distances that fit within the activity.""" results = {} for dist_m, label in STANDARD_DISTANCES: if total_distance_m >= dist_m * 0.95: # allow 5% tolerance best = find_best_split_time(data_points, dist_m) if best: results[label] = best return results