Add branding splash and simulator cycle timing

backend/app/main.py

@@ -331,19 +331,23 @@ def run_simulator_scenario(payload: SimulatorScenarioCreate, db: Session = Depen
     elif payload.scenario == "cycle_signal_edge":
         current_value = machine.cycle_signal_edge != "falling"
         previous_value = not current_value
+        last_cycle_at = None
+        if machine.last_cycle_at is not None:
+            last_cycle_at = machine.last_cycle_at.replace(tzinfo=UTC) if machine.last_cycle_at.tzinfo is None else machine.last_cycle_at.astimezone(UTC)
+        current_event_time = last_cycle_at + timedelta(seconds=cycle_time_sec) if last_cycle_at is not None else now
         events.extend(
             [
                 SimulatorEventCreate(
                     machine_id=machine.code,
                     event_type="digital_input_changed",
-                    timestamp=now - timedelta(milliseconds=max(machine.debounce_ms + 100, 500)),
+                    timestamp=current_event_time - timedelta(milliseconds=max(machine.debounce_ms + 100, 500)),
                     input_name="cycle_signal",
                     input_value=previous_value,
                 ),
                 SimulatorEventCreate(
                     machine_id=machine.code,
                     event_type="digital_input_changed",
-                    timestamp=now,
+                    timestamp=current_event_time,
                     input_name="cycle_signal",
                     input_value=current_value,
                     cycle_time_sec=cycle_time_sec,

backend/tests/test_events.py

@@ -195,3 +195,23 @@ def test_simulator_debounce_noise_is_ignored(db_session: Session) -> None:
     assert result["scenario"] == "debounce_noise"
     assert len(result["events"]) == 2
     assert cycles == []
+
+
+def test_simulator_passive_edge_uses_requested_real_cycle_time(db_session: Session) -> None:
+    machine = seed_running_machine(db_session)
+    machine.last_cycle_at = datetime(2026, 6, 14, 8, 0, tzinfo=timezone.utc)
+    db_session.commit()
+
+    result = run_simulator_scenario(
+        SimulatorScenarioCreate(
+            machine_id=machine.code,
+            scenario="cycle_signal_edge",
+            cycle_time_sec=12,
+        ),
+        db_session,
+    )
+
+    cycle = db_session.execute(select(Cycle).where(Cycle.machine_id == machine.id)).scalar_one()
+    assert result["scenario"] == "cycle_signal_edge"
+    assert len(result["events"]) == 2
+    assert cycle.cycle_time_sec == 12