Add layered system viewer and local coordinates

apps/backend/Simulation/RuntimeModels.cs

@@ -116,6 +116,8 @@ public readonly record struct Vector3(float X, float Y, float Z)
 {
   public static Vector3 Zero => new(0f, 0f, 0f);
 
+  public float LengthSquared() => (X * X) + (Y * Y) + (Z * Z);
+
   public float DistanceTo(Vector3 other)
   {
     var dx = X - other.X;

apps/backend/Simulation/ScenarioLoader.cs

@@ -111,9 +111,9 @@ public sealed class ScenarioLoader
           Id = $"node-{++nodeIdCounter}",
           SystemId = system.Definition.Id,
           Position = new Vector3(
-            system.Position.X + (MathF.Cos(node.Angle) * node.RadiusOffset),
-            system.Position.Y + balance.YPlane,
-            system.Position.Z + (MathF.Sin(node.Angle) * node.RadiusOffset)),
+            MathF.Cos(node.Angle) * node.RadiusOffset,
+            balance.YPlane,
+            MathF.Sin(node.Angle) * node.RadiusOffset),
           SourceKind = node.SourceKind,
           ItemId = node.ItemId,
           OreRemaining = node.OreAmount,
@@ -149,7 +149,7 @@ public sealed class ScenarioLoader
 
     var patrolRoutes = scenario.PatrolRoutes.ToDictionary(
       (route) => route.SystemId,
-      (route) => route.Points.Select(ToVector).ToList(),
+      (route) => route.Points.Select((point) => NormalizeScenarioPoint(systemsById[route.SystemId], point)).ToList(),
       StringComparer.Ordinal);
 
     var shipsRuntime = new List<ShipRuntime>();
@@ -164,7 +164,7 @@ public sealed class ScenarioLoader
       for (var index = 0; index < formation.Count; index += 1)
       {
         var offset = new Vector3((index % 3) * 18f, balance.YPlane, (index / 3) * 18f);
-        var position = Add(ToVector(formation.Center), offset);
+        var position = Add(NormalizeScenarioPoint(systemsById[formation.SystemId], formation.Center), offset);
         shipsRuntime.Add(new ShipRuntime
         {
           Id = $"ship-{++shipIdCounter}",
@@ -832,7 +832,7 @@ public sealed class ScenarioLoader
   {
     if (plan.Position is { Length: 3 })
     {
-      return ToVector(plan.Position);
+      return NormalizeScenarioPoint(system, plan.Position);
     }
 
     if (plan.PlanetIndex is int planetIndex && planetIndex >= 0 && planetIndex < system.Definition.Planets.Count)
@@ -840,15 +840,28 @@ public sealed class ScenarioLoader
       var planet = system.Definition.Planets[planetIndex];
       var side = plan.LagrangeSide ?? 1;
       return new Vector3(
-        system.Position.X + planet.OrbitRadius + (side * 72f),
-        system.Position.Y + balance.YPlane,
-        system.Position.Z + ((planetIndex + 1) * 42f * side));
+        planet.OrbitRadius + (side * 72f),
+        balance.YPlane,
+        (planetIndex + 1) * 42f * side);
     }
 
-    return new Vector3(system.Position.X + 180f, system.Position.Y + balance.YPlane, system.Position.Z);
+    return new Vector3(180f, balance.YPlane, 0f);
   }
 
   private static Vector3 ToVector(float[] values) => new(values[0], values[1], values[2]);
 
+  private static Vector3 NormalizeScenarioPoint(SystemRuntime system, float[] values)
+  {
+    var raw = ToVector(values);
+    var relativeToSystem = new Vector3(
+      raw.X - system.Position.X,
+      raw.Y - system.Position.Y,
+      raw.Z - system.Position.Z);
+
+    return relativeToSystem.LengthSquared() < raw.LengthSquared()
+      ? relativeToSystem
+      : raw;
+  }
+
   private static Vector3 Add(Vector3 left, Vector3 right) => new(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
 }

apps/backend/Simulation/SimulationEngine.cs

@@ -77,7 +77,7 @@ public sealed class SimulationEngine
       world.Nodes.Select(ToNodeDelta).Select((node) => new ResourceNodeSnapshot(
         node.Id,
         node.SystemId,
-        node.Position,
+        node.LocalPosition,
         node.SourceKind,
         node.OreRemaining,
         node.MaxOre,
@@ -87,7 +87,7 @@ public sealed class SimulationEngine
         station.Label,
         station.Category,
         station.SystemId,
-        station.Position,
+        station.LocalPosition,
         station.Color,
         station.DockedShips,
         station.OreStored,
@@ -99,9 +99,9 @@ public sealed class SimulationEngine
         ship.Role,
         ship.ShipClass,
         ship.SystemId,
-        ship.Position,
-        ship.Velocity,
-        ship.TargetPosition,
+        ship.LocalPosition,
+        ship.LocalVelocity,
+        ship.TargetLocalPosition,
         ship.State,
         ship.OrderKind,
         ship.DefaultBehaviorKind,