fix: 修正 Cesium 巡航车道中心对齐

scripts/lib/lane-geometry.js

@@ -0,0 +1,161 @@
+"use strict";
+
+const EARTH_RADIUS_METERS = 6371008.8;
+
+function laneCenterline(lane) {
+  const ring = lane?.geometry?.type === "Polygon" ? lane.geometry.coordinates?.[0] : null;
+  if (!Array.isArray(ring) || ring.length < 5 || !sameCoordinate(ring[0], ring.at(-1))) return null;
+  const vertices = ring.slice(0, -1);
+  if (!vertices.every(validCoordinate)) return null;
+  const half = vertices.length / 2;
+  if (!Number.isInteger(half) || half < 2) return null;
+  const centerline = vertices.slice(0, half).map((point, index) => [
+    (point[0] + vertices[vertices.length - 1 - index][0]) / 2,
+    (point[1] + vertices[vertices.length - 1 - index][1]) / 2,
+  ]);
+  return polylineLength(centerline) > 0.01 ? centerline : null;
+}
+
+function orientPolyline(polyline, reference) {
+  if (!polyline?.length || !reference?.length) return null;
+  const forward = projectedDistanceAlong(reference, polyline.at(-1)) - projectedDistanceAlong(reference, polyline[0]);
+  if (Math.abs(forward) < 0.01) return null;
+  return forward > 0 ? polyline.map(copyCoordinate) : [...polyline].reverse().map(copyCoordinate);
+}
+
+function stitchPolylines(polylines, maxGapMeters) {
+  if (!polylines.length) return null;
+  const result = [];
+  for (const polyline of polylines) {
+    if (!polyline?.length) return null;
+    if (result.length && haversineMeters(result.at(-1), polyline[0]) > maxGapMeters) return null;
+    appendCoordinates(result, polyline);
+  }
+  return result;
+}
+
+function projectedDistanceAlong(polyline, point) {
+  let traversed = 0;
+  let best = { distance: Infinity, along: 0, lateral: 0 };
+  for (let index = 1; index < polyline.length; index += 1) {
+    const start = polyline[index - 1];
+    const end = polyline[index];
+    const meters = metersAt((start[1] + end[1]) / 2);
+    const dx = (end[0] - start[0]) * meters.lon;
+    const dy = (end[1] - start[1]) * meters.lat;
+    const px = (point[0] - start[0]) * meters.lon;
+    const py = (point[1] - start[1]) * meters.lat;
+    const length = Math.hypot(dx, dy);
+    if (length < 0.001) continue;
+    const ratio = Math.max(0, Math.min(1, (px * dx + py * dy) / (length * length)));
+    const offsetX = px - dx * ratio;
+    const offsetY = py - dy * ratio;
+    const distance = Math.hypot(offsetX, offsetY);
+    if (distance < best.distance) {
+      const rightX = dy / length;
+      const rightY = -dx / length;
+      best = {
+        distance,
+        along: traversed + length * ratio,
+        lateral: offsetX * rightX + offsetY * rightY,
+      };
+    }
+    traversed += length;
+  }
+  return best.along;
+}
+
+function lateralOffsetFrom(polyline, point) {
+  let best = null;
+  for (let index = 1; index < polyline.length; index += 1) {
+    const start = polyline[index - 1];
+    const end = polyline[index];
+    const meters = metersAt((start[1] + end[1]) / 2);
+    const dx = (end[0] - start[0]) * meters.lon;
+    const dy = (end[1] - start[1]) * meters.lat;
+    const px = (point[0] - start[0]) * meters.lon;
+    const py = (point[1] - start[1]) * meters.lat;
+    const length = Math.hypot(dx, dy);
+    if (length < 0.001) continue;
+    const ratio = Math.max(0, Math.min(1, (px * dx + py * dy) / (length * length)));
+    const offsetX = px - dx * ratio;
+    const offsetY = py - dy * ratio;
+    const distance = Math.hypot(offsetX, offsetY);
+    if (!best || distance < best.distance) {
+      best = { distance, lateral: offsetX * dy / length - offsetY * dx / length };
+    }
+  }
+  return best;
+}
+
+function polylineMidpoint(polyline) {
+  const target = polylineLength(polyline) / 2;
+  let traversed = 0;
+  for (let index = 1; index < polyline.length; index += 1) {
+    const length = haversineMeters(polyline[index - 1], polyline[index]);
+    if (traversed + length >= target) {
+      const ratio = length ? (target - traversed) / length : 0;
+      return [
+        polyline[index - 1][0] + (polyline[index][0] - polyline[index - 1][0]) * ratio,
+        polyline[index - 1][1] + (polyline[index][1] - polyline[index - 1][1]) * ratio,
+      ];
+    }
+    traversed += length;
+  }
+  return polyline.length ? copyCoordinate(polyline.at(-1)) : null;
+}
+
+function polylineLength(polyline) {
+  let total = 0;
+  for (let index = 1; index < (polyline?.length || 0); index += 1) {
+    total += haversineMeters(polyline[index - 1], polyline[index]);
+  }
+  return total;
+}
+
+function haversineMeters(a, b) {
+  const lat1 = degreesToRadians(a[1]);
+  const lat2 = degreesToRadians(b[1]);
+  const dLat = degreesToRadians(b[1] - a[1]);
+  const dLon = degreesToRadians(b[0] - a[0]);
+  const h = Math.sin(dLat / 2) ** 2 + Math.cos(lat1) * Math.cos(lat2) * Math.sin(dLon / 2) ** 2;
+  return 2 * EARTH_RADIUS_METERS * Math.asin(Math.min(1, Math.sqrt(h)));
+}
+
+function appendCoordinates(target, coordinates) {
+  for (const coordinate of coordinates) {
+    if (!sameCoordinate(target.at(-1), coordinate)) target.push(copyCoordinate(coordinate));
+  }
+}
+
+function validCoordinate(value) {
+  return Array.isArray(value) && value.length >= 2 && Number.isFinite(value[0]) && Number.isFinite(value[1]);
+}
+
+function sameCoordinate(a, b) {
+  return Boolean(a && b && a[0] === b[0] && a[1] === b[1]);
+}
+
+function copyCoordinate(coordinate) {
+  return [coordinate[0], coordinate[1]];
+}
+
+function metersAt(latitude) {
+  return { lon: 111320 * Math.cos(degreesToRadians(latitude)), lat: 111320 };
+}
+
+function degreesToRadians(value) {
+  return value * Math.PI / 180;
+}
+
+module.exports = {
+  appendCoordinates,
+  haversineMeters,
+  laneCenterline,
+  lateralOffsetFrom,
+  orientPolyline,
+  polylineLength,
+  polylineMidpoint,
+  projectedDistanceAlong,
+  stitchPolylines,
+};