Warps preserve your heading, not your bearing

Stepping through a rim warp spun the live camera 180: the director
aimed along the displacement vector, and a top-to-bottom wrap's
vector points exactly opposite the walk. The exit facing now comes
from the warp's own geometry — the far mouth's inward direction —
so travel carries straight through plain wraps and rotates correctly
where boards were laid rotated; a dimensional token step keeps the
facing it entered with.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_015RCWSTnb1KYTPyL4GmhGnF

packages/web/src/LiveFirstPerson.svelte

@@ -12,7 +12,7 @@
   import { tokenArt } from "./art";
   import { objectArt } from "./art";
   import { fpFxForEvents, type FpFx } from "./fpv/fx3d";
-  import { castRay } from "./fpv/raycast";
+  import { castRay, SIDE_ANGLE, OPPOSITE } from "./fpv/raycast";
   import { aimOfEvents, gatherGlides, hurledIn, shortestArc } from "./fpv/director";
   import { untrack } from "svelte";
   import type { GameEvent, GameView, Side } from "@wizwar/engine";
@@ -175,6 +175,22 @@
     const events = b && b.n !== directedBatch ? b.events : [];
     if (b) directedBatch = b.n;
     const hurled = hurledIn(events, povId);
+    // Stepping through a warp keeps your HEADING, not your bearing to a
+    // point: you emerge walking out of the far mouth, so the exit facing
+    // is the far mouth's inward direction — travel preserved through a
+    // plain wrap, properly rotated where the boards were laid rotated.
+    // (A dimensional token has no mouths: facing simply carries over.)
+    let warpFacing: number | null = null;
+    for (const e of events) {
+      if (e.type === "moved" && e.player === povId && e.via === "warp") {
+        const w = v.board.warps.find((wp) =>
+          wp.from.cell.x === e.from.x && wp.from.cell.y === e.from.y &&
+          wp.to.cell.x === e.to.x && wp.to.cell.y === e.to.y);
+        if (w) warpFacing = SIDE_ANGLE[OPPOSITE[w.to.side]];
+      } else if (e.type === "warpStepped" && e.player === povId) {
+        warpFacing = camF;
+      }
+    }
     const willCut = !camReady || (dist > 1.6 && !hurled);
     cutawayShot = false;
     const takeCutaway = (ax: number, ay: number) => {
@@ -194,7 +210,10 @@
     const aim = aimOfEvents(events, v, povId, m.position, actor);
     let targetFacing = camF;
     let aimed = false;
-    if (camReady && !willCut && dist > 0.05 && !hurled) {
+    if (warpFacing !== null) {
+      targetFacing = warpFacing;
+      aimed = true;
+    } else if (camReady && !willCut && dist > 0.05 && !hurled) {
       targetFacing = Math.atan2(dy, dx);
       aimed = true;
     } else if (aim?.self) {