fix(flights): bound route labels to the scheduled leg

src/data/routePlausible.js

@@ -33,6 +33,18 @@ export function crossTrackKm(lat, lon, lat1, lon1, lat2, lon2) {
   return Math.asin(Math.sin(d13) * Math.sin(b13 - b12)) * EARTH_RADIUS_KM;
 }
 
+/** Signed distance along the great circle from the origin toward the destination. */
+function alongTrackKm(position, origin, destination) {
+  const distance = greatCircleKm(origin, position) / EARTH_RADIUS_KM;
+  const direction =
+    bearingRad(origin.lat, origin.lon, position.lat, position.lon) -
+    bearingRad(origin.lat, origin.lon, destination.lat, destination.lon);
+  return (
+    Math.atan2(Math.sin(distance) * Math.cos(direction), Math.cos(distance)) *
+    EARTH_RADIUS_KM
+  );
+}
+
 const NEAR_ENDPOINT_KM = 130;
 const CROSS_TRACK_KM = 200;
 const LOW_ALT_M = 3700; // ~12 000 ft
@@ -66,6 +78,18 @@ export function routePlausible({
   const near = (point) => greatCircleKm(position, point) < NEAR_ENDPOINT_KM;
   let geomOk = (haveO && near(origin)) || (haveD && near(destination));
   if (!geomOk && haveO && haveD) {
+    const routeKm = greatCircleKm(origin, destination);
+    const alongKm = alongTrackKm(position, origin, destination);
+    // atan2 returns the principal arc in [-πR, πR]. Near an antipodal
+    // destination, its allowed forward extension can cross that branch cut.
+    const segmentAlongKm =
+      alongKm < -CROSS_TRACK_KM
+        ? alongKm + 2 * Math.PI * EARTH_RADIUS_KM
+        : alongKm;
+    // Coincident or antipodal endpoints do not define one minor arc. Keep the
+    // existing loose check when the segment cannot be judged reliably.
+    const segmentKnown =
+      routeKm > 0.001 && routeKm < Math.PI * EARTH_RADIUS_KM - 0.001;
     geomOk =
       Math.abs(
         crossTrackKm(
@@ -76,7 +100,10 @@ export function routePlausible({
           destination.lat,
           destination.lon,
         ),
-      ) < CROSS_TRACK_KM;
+      ) < CROSS_TRACK_KM &&
+      (!segmentKnown ||
+        (segmentAlongKm >= -CROSS_TRACK_KM &&
+          segmentAlongKm <= routeKm + CROSS_TRACK_KM));
   } else if (!geomOk) {
     geomOk = true; // only one endpoint known and not near — cannot judge, allow
   }

src/data/routeSegment.test.mjs

@@ -0,0 +1,174 @@
+import assert from 'node:assert/strict';
+import test from 'node:test';
+import * as Cesium from 'cesium';
+import { routePlausible } from './routePlausible.js';
+import { createTracking } from '../layers/flights/tracking.js';
+
+const SFO = { lat: 37.6188, lon: -122.3754, code: 'SFO' };
+const LAX = { lat: 33.9416, lon: -118.4085, code: 'LAX' };
+const beyond = { lat: -35.818227816411174, lon: -66.16647396367095 };
+const behind = { lat: 35.818227816411174, lon: 113.83352603632906 };
+const antipode = { lat: -SFO.lat, lon: SFO.lon + 180 };
+const midpoint = { lat: 35.8, lon: -120.4 };
+
+const plausible = (position, origin = SFO, destination = LAX) =>
+  routePlausible({
+    latDeg: position.lat,
+    lonDeg: position.lon,
+    altitudeM: 10000,
+    verticalRateMps: 0,
+    origin,
+    destination,
+  });
+
+// Independent spherical oracle: native unit-vector angular distances, without
+// the production bearing/cross-track/along-track calculations.
+const unit = ({ lat, lon }) => {
+  const latitude = Cesium.Math.toRadians(lat);
+  const longitude = Cesium.Math.toRadians(lon);
+  return new Cesium.Cartesian3(
+    Math.cos(latitude) * Math.cos(longitude),
+    Math.cos(latitude) * Math.sin(longitude),
+    Math.sin(latitude),
+  );
+};
+const angle = (a, b) => Cesium.Cartesian3.angleBetween(unit(a), unit(b));
+const excess = (position, origin, destination) =>
+  angle(origin, position) +
+  angle(position, destination) -
+  angle(origin, destination);
+
+test('a short airport route cannot describe a plane thousands of kilometres beyond its destination', () => {
+  assert.ok(excess(beyond, SFO, LAX) > 2.9);
+  assert.equal(plausible(beyond), false);
+});
+
+test('backwards and antipodal extensions are not the scheduled airport leg', () => {
+  for (const position of [behind, antipode]) {
+    assert.ok(excess(position, SFO, LAX) > 3);
+    assert.equal(plausible(position), false);
+  }
+});
+
+test('ordinary route offsets and generous endpoint extensions stay plausible', () => {
+  assert.ok(excess(midpoint, SFO, LAX) < 0.001);
+  for (const position of [midpoint, SFO, LAX, { lat: 36.5, lon: -119.5 }]) {
+    assert.equal(plausible(position), true);
+  }
+  // ~167 km past either endpoint is outside the 130 km endpoint circle,
+  // but remains inside the 200 km coarse-route tolerance.
+  const origin = { lat: 0, lon: 0 };
+  const destination = { lat: 0, lon: 10 };
+  assert.equal(plausible({ lat: 0, lon: -1.5 }, origin, destination), true);
+  assert.equal(plausible({ lat: 0, lon: 11.5 }, origin, destination), true);
+});
+
+test('the generous endpoint tolerance still excludes a clearly different leg', () => {
+  const origin = { lat: 0, lon: 0 };
+  const destination = { lat: 0, lon: 10 };
+  assert.equal(plausible({ lat: 0, lon: -2.5 }, origin, destination), false);
+  assert.equal(plausible({ lat: 0, lon: 12.5 }, origin, destination), false);
+});
+
+test('minor-arc admission works across the antimeridian and near the pole', () => {
+  const dateline = [
+    { lat: 10, lon: 170 },
+    { lat: 10, lon: -170 },
+  ];
+  assert.equal(plausible({ lat: 10.15, lon: 180 }, ...dateline), true);
+  assert.equal(plausible({ lat: -10.15, lon: 0 }, ...dateline), false);
+  const polar = [
+    { lat: 80, lon: -60 },
+    { lat: 80, lon: 60 },
+  ];
+  const top = { lat: 84.96163122670251, lon: 0 };
+  assert.ok(excess(top, ...polar) < 1e-8);
+  assert.equal(plausible(top, ...polar), true);
+  assert.equal(plausible({ lat: -top.lat, lon: 180 }, ...polar), false);
+});
+
+test('the forward tolerance survives the signed-angle branch cut in both directions', () => {
+  const origin = { lat: 0, lon: 0 };
+  for (const direction of [-1, 1]) {
+    const destination = { lat: 0, lon: direction * 179.9 };
+    const within = { lat: 0, lon: direction * -178.8 };
+    const endpointGapKm = angle(destination, within) * 6371.0088;
+    assert.ok(endpointGapKm > 130 && endpointGapKm < 200);
+    assert.equal(plausible(within, origin, destination), true);
+    assert.equal(
+      plausible({ lat: 0, lon: direction * -178 }, origin, destination),
+      false,
+    );
+  }
+});
+
+test('unjudgeable endpoint geometry and missing coordinates keep the loose contract', () => {
+  assert.equal(
+    plausible({ lat: 0, lon: -90 }, { lat: 0, lon: 0 }, { lat: 0, lon: 180 }),
+    true,
+  );
+  assert.equal(
+    plausible({ lat: 45, lon: 0 }, { lat: 0, lon: 0 }, { lat: 0, lon: 0 }),
+    true,
+  );
+  assert.equal(plausible(beyond, SFO, null), true);
+  assert.equal(plausible(beyond, null, null), true);
+});
+
+test('the actual native tracked label hides the wrong leg and keeps a healthy route', (t) => {
+  const collection = new Cesium.BillboardCollection();
+  t.after(() => collection.destroy());
+  const flightState = {
+    records: { data: new Map(), missingPolls: new Map() },
+    feed: { _backoff: false },
+    _billboards: new Map(),
+    _scratchCarto: new Cesium.Cartographic(),
+  };
+  // Only application host services are supplied. Route admission, WGS84
+  // billboard conversion and tracked-label formatting are the actual owners.
+  const services = Object.fromEntries(
+    [
+      'context',
+      'trails',
+      'geoid',
+      'groundFloor',
+      'focus',
+      'militaryRegistry',
+      'readout',
+      'camera',
+      'picking',
+    ].map((name) => [name, {}]),
+  );
+  services.aircraftPresentation = { isTr3b: () => false };
+  const parts = { queries: { _contactLabel: (_, info) => info.callsign } };
+  const tracking = createTracking({ flightState, services, parts });
+  for (const [position, expected] of [
+    [beyond, false],
+    [midpoint, true],
+  ]) {
+    const id = 'abc001';
+    const route = { origin: SFO, destination: LAX };
+    flightState.records.data.set(id, {
+      callsign: 'OWNED001',
+      altitude: 10000,
+      verticalRate: 0,
+      route,
+    });
+    flightState._billboards.set(
+      id,
+      collection.add({
+        id,
+        position: Cesium.Cartesian3.fromDegrees(
+          position.lon,
+          position.lat,
+          10000,
+        ),
+      }),
+    );
+    assert.equal(
+      tracking._trackedLabelText(id).includes('SFO → LAX'),
+      expected,
+    );
+    assert.equal(tracking._routeIsPlausible(id, route), expected);
+  }
+});