diff --git a/src/scene/act-scene.ts b/src/scene/act-scene.ts
index 3e71dac..74e4729 100644
--- a/src/scene/act-scene.ts
+++ b/src/scene/act-scene.ts
@@ -171,6 +171,9 @@ export interface ActSceneState {
   facing: number
   tick: number
   tickRate: number
+  simTps: number
+  renderFps: number
+  fps: number
   /**
    * GPU draw calls the last frame actually issued.
    *
@@ -208,7 +211,7 @@ const state: ActSceneState = {
   pagesLoaded: 0, pagesTotal: 0, pagesAtFirstFrame: -1, firstFrameMs: 0, priorityPages: [],
   character: false, characterMembers: 0, characterFrames: 0, characterGroup: -1,
   skippedDraws: 0, objects: 0, loadMs: 0,
-  missing: 0, walkable: 0, x: 0, y: 0, facing: 0, tick: 0, tickRate: 0,
+  missing: 0, walkable: 0, x: 0, y: 0, facing: 0, tick: 0, tickRate: 0, simTps: 0, renderFps: 0, fps: 0,
   drawCalls: 0, quadsDrawn: 0, culledDraws: 0, renderMs: 0,
   zoom: 0, canvasWidth: 0, canvasHeight: 0, error: null,
   dialog: [], npcs: 0, npcsNear: [],
@@ -1961,6 +1964,9 @@ function runScene(initialRuntime: MapRuntime, renderer: SpriteRenderer, started:
       state.quadsDrawn = renderer.quadsSubmitted
       state.culledDraws = culledDraws
       state.tickRate = loop.tickRate
+      state.simTps = loop.simTps
+      state.renderFps = loop.fps
+      state.fps = loop.fps
       state.zoom = Number(camera.zoom.toFixed(2))
       state.canvasWidth = canvas.width
       state.canvasHeight = canvas.height
@@ -1973,11 +1979,14 @@ function runScene(initialRuntime: MapRuntime, renderer: SpriteRenderer, started:
       // reader and stops the overlay from competing with the frame it describes.
       if (renderStarted >= hudNextMs) {
         hudNextMs = renderStarted + HUD_INTERVAL_MS
+        const simTpsText = loop.simTps.toFixed(1)
+        const renderFpsText = loop.fps.toFixed(0)
+        const renderMsText = (loop.frameMs > 0 ? loop.frameMs : state.renderMs).toFixed(1)
         hud.textContent = `${runtime.level} · ${runtime.quadrant} · ${runtime.source === 'pack' ? '资源包' : '读归档'}`
           + ` · ${String(runtime.cellsX)}×${String(runtime.cellsY)} 格 · ${String(runtime.floors.length)} 地面 / ${String(runtime.walls.length)} 墙`
           + ` · 页 ${String(state.pagesLoaded)}/${String(state.pagesTotal)}`
-          + ` · 对象 ${String(runtime.objects)} · ${loop.tickRate.toFixed(1)} tps · pos ${engine.world.player.x.toFixed(0)},${engine.world.player.y.toFixed(0)}`
-          + ` · ${String(state.quadsDrawn)} 图元 / ${String(state.drawCalls)} 批次（剔除 ${String(culledDraws)}）· ${state.renderMs.toFixed(1)} ms`
+          + ` · 对象 ${String(runtime.objects)} · sim: ${simTpsText} tps | render: ${renderFpsText} fps (${renderMsText}ms) · pos ${engine.world.player.x.toFixed(0)},${engine.world.player.y.toFixed(0)}`
+          + ` · ${String(state.quadsDrawn)} 图元 / ${String(state.drawCalls)} 批次（剔除 ${String(culledDraws)}）`
           + (skippedDraws > 0 ? ` · 待页 ${String(skippedDraws)}` : '')
       }
     },
diff --git a/src/sim/loop.ts b/src/sim/loop.ts
index 8e5eebd..eb684d0 100644
--- a/src/sim/loop.ts
+++ b/src/sim/loop.ts
@@ -4,10 +4,15 @@
  * Diablo's simulation runs at 25 ticks per second, and that rate is not
  * cosmetic: animation frames, movement, and monster AI all advance per tick,
  * so anything derived from wall-clock time would diverge from the original
- * behaviour. The loop therefore ticks at a fixed rate and lets rendering happen
- * whenever the browser paints, interpolating only the camera-facing positions
- * the caller asks to smooth.
+ * behaviour.
+ *
+ * To avoid tying simulation progress to rendering performance (where frame drops
+ * or heavy scenes would artificially drag down simulation rate or catastrophically
+ * drop backlog time), simulation ticks are driven by a dedicated timer mechanism
+ * at the deterministic rate (1000 / tickRate). Meanwhile, requestAnimationFrame
+ * handles rendering and frame metrics with proper interpolation alpha.
  */
+
 /** Loop wiring. */
 export interface LoopOptions {
   /** Ticks per second (Diablo's simulation rate: 25). */
@@ -22,25 +27,39 @@ export interface LoopOptions {
    * @param frameMs - wall-clock duration of the previous frame.
    */
   readonly onRender: (alpha: number, frameMs: number) => void
-  /** Most ticks to run in one frame before discarding the backlog. */
+  /** Most ticks to run in one timer/frame step before clamping the backlog. */
   readonly maxCatchUp?: number
+  /** Optional custom clock source for testing. Defaults to performance.now. */
+  readonly clock?: () => number
 }
 
 /**
- * A fixed-rate loop driven by `requestAnimationFrame`.
+ * A fixed-rate simulation loop decoupled from rendering.
  */
 export class GameLoop {
   private readonly options: LoopOptions
-  private readonly tickMs: number
-  private readonly maxCatchUp: number
-  private accumulator = 0
-  private lastTime = 0
-  private handle = 0
-  private running = false
+  readonly tickMs: number
+  readonly maxCatchUp: number
+
+  private rawAccumulator = 0
   private consumed = 0
-  private rateWindowStart = 0
-  private rateWindowTicks = 0
-  private measuredRate = 0
+  private running = false
+
+  // Simulation timer & metrics
+  private simTimerHandle: ReturnType<typeof setTimeout> | null = null
+  private lastSimTime = 0
+  private simWindowStart = 0
+  private simTicksInWindow = 0
+  private simVirtualElapsed = 0
+  private measuredSimRate = 0
+
+  // Render loop & metrics
+  private renderHandle = 0
+  private lastRenderTime = 0
+  private lastFrameMs = 0
+  private renderWindowStart = 0
+  private renderFramesInWindow = 0
+  private measuredFps = 0
 
   /**
    * @param options - loop wiring.
@@ -48,7 +67,12 @@ export class GameLoop {
   constructor(options: LoopOptions) {
     this.options = options
     this.tickMs = 1000 / options.tickRate
-    this.maxCatchUp = options.maxCatchUp ?? 5
+    this.maxCatchUp = options.maxCatchUp ?? 10
+  }
+
+  /** Current time in ms from options.clock or performance.now. */
+  private now(): number {
+    return this.options.clock ? this.options.clock() : performance.now()
   }
 
   /** Ticks simulated since the loop started. */
@@ -56,49 +80,239 @@ export class GameLoop {
     return this.consumed
   }
 
-  /** Measured ticks per second over the last window (0 until one has elapsed). */
+  /** Measured simulation ticks per second over the last window (or target rate when active). */
   get tickRate(): number {
-    return this.measuredRate
+    return this.simTps
   }
 
-  /** Begin ticking. Idempotent. */
+  /** Simulation ticks per second. */
+  get simTps(): number {
+    if (this.measuredSimRate > 0) return this.measuredSimRate
+    const elapsed = this.now() - this.simWindowStart
+    if (elapsed >= 200 && this.simTicksInWindow > 0) {
+      return (this.simTicksInWindow * 1000) / elapsed
+    }
+    if (this.simVirtualElapsed >= 200 && this.simTicksInWindow > 0) {
+      return (this.simTicksInWindow * 1000) / this.simVirtualElapsed
+    }
+    return this.running ? this.options.tickRate : 0
+  }
+
+  /** Measured render frames per second. */
+  get fps(): number {
+    return this.renderFps
+  }
+
+  /** Render frames per second. */
+  get renderFps(): number {
+    if (this.measuredFps > 0) return this.measuredFps
+    const elapsed = this.now() - this.renderWindowStart
+    if (elapsed >= 200 && this.renderFramesInWindow > 0) {
+      return (this.renderFramesInWindow * 1000) / elapsed
+    }
+    return this.lastFrameMs > 0 ? Math.min(120, 1000 / this.lastFrameMs) : 0
+  }
+
+  /** Duration of the last render frame in milliseconds. */
+  get frameMs(): number {
+    return this.lastFrameMs
+  }
+
+  /** Whether the loop is currently running. */
+  get isRunning(): boolean {
+    return this.running
+  }
+
+  /** Current simulation accumulator in milliseconds. */
+  get accumulator(): number {
+    const elapsedSinceLastSim = this.running ? Math.max(0, this.now() - this.lastSimTime) : 0
+    return this.rawAccumulator + elapsedSinceLastSim
+  }
+
+  /** Interpolation factor in 0..1 between the current tick and the next tick. */
+  get alpha(): number {
+    return Math.min(1, Math.max(0, this.accumulator / this.tickMs))
+  }
+
+  /**
+   * Manually advance the simulation by deltaMs milliseconds.
+   * Useful for headless simulation, test clocks, and deterministic testing.
+   *
+   * @param deltaMs - Milliseconds to advance.
+   * @param maxCatchUp - Optional override for max ticks to simulate in this step (0 = unlimited).
+   */
+  step(deltaMs: number, maxCatchUp?: number): void {
+    if (deltaMs <= 0) return
+    this.rawAccumulator += deltaMs
+    this.lastSimTime = this.now()
+
+    const maxSteps = maxCatchUp !== undefined ? maxCatchUp : (this.options.maxCatchUp !== undefined ? this.maxCatchUp : 0)
+    let steps = 0
+    while (this.rawAccumulator >= this.tickMs && (maxSteps <= 0 || steps < maxSteps)) {
+      this.rawAccumulator -= this.tickMs
+      this.consumed += 1
+      this.simTicksInWindow += 1
+      this.options.onTick(this.consumed)
+      steps += 1
+    }
+
+    if (maxSteps > 0) {
+      const maxBacklog = this.tickMs * maxSteps
+      if (this.rawAccumulator > maxBacklog) {
+        this.rawAccumulator = maxBacklog
+      }
+    }
+
+    this.simVirtualElapsed += deltaMs
+    if (this.simVirtualElapsed >= 1000) {
+      this.measuredSimRate = (this.simTicksInWindow * 1000) / this.simVirtualElapsed
+      this.simVirtualElapsed = 0
+      this.simTicksInWindow = 0
+    } else if (this.simVirtualElapsed >= 200) {
+      this.measuredSimRate = (this.simTicksInWindow * 1000) / this.simVirtualElapsed
+    }
+  }
+
+  /**
+   * Manually trigger one render call.
+   */
+  render(frameMs?: number): void {
+    const elapsed = frameMs ?? (this.lastFrameMs > 0 ? this.lastFrameMs : 16.6)
+    this.lastFrameMs = elapsed
+    this.options.onRender(this.alpha, elapsed)
+  }
+
+  /** Advance simulation according to elapsed wall-clock time. */
+  private advanceSimulation(now: number): void {
+    const elapsed = now - this.lastSimTime
+    if (elapsed <= 0) return
+    this.lastSimTime = now
+    this.rawAccumulator += elapsed
+
+    let steps = 0
+    while (this.rawAccumulator >= this.tickMs && (this.maxCatchUp <= 0 || steps < this.maxCatchUp)) {
+      this.rawAccumulator -= this.tickMs
+      this.consumed += 1
+      this.simTicksInWindow += 1
+      this.options.onTick(this.consumed)
+      steps += 1
+    }
+
+    // Prevent catastrophic discard: clamp to max backlog instead of wiping to 0
+    const maxBacklog = this.tickMs * this.maxCatchUp
+    if (this.rawAccumulator > maxBacklog) {
+      this.rawAccumulator = maxBacklog
+    }
+
+    const windowElapsed = now - this.simWindowStart
+    if (windowElapsed >= 1000) {
+      this.measuredSimRate = (this.simTicksInWindow * 1000) / windowElapsed
+      this.simWindowStart = now
+      this.simTicksInWindow = 0
+    } else if (this.measuredSimRate === 0 && windowElapsed >= 200) {
+      this.measuredSimRate = (this.simTicksInWindow * 1000) / windowElapsed
+    }
+  }
+
+  /** Begin ticking and rendering. Idempotent. */
   start(): void {
     if (this.running) return
     this.running = true
-    this.lastTime = performance.now()
-    this.rateWindowStart = this.lastTime
-    this.rateWindowTicks = 0
-    const step = (now: number): void => {
-      if (!this.running) return
-      const elapsed = now - this.lastTime
-      this.lastTime = now
-      this.accumulator += elapsed
-      let steps = 0
-      while (this.accumulator >= this.tickMs && steps < this.maxCatchUp) {
-        this.accumulator -= this.tickMs
-        this.consumed += 1
-        this.rateWindowTicks += 1
-        this.options.onTick(this.consumed)
-        steps += 1
-      }
-      // A long stall (a backgrounded tab, a slow load) must not replay minutes
-      // of simulation on the next frame: drop the backlog instead.
-      if (this.accumulator > this.tickMs * this.maxCatchUp) this.accumulator = 0
-      if (now - this.rateWindowStart >= 1000) {
-        this.measuredRate = (this.rateWindowTicks * 1000) / (now - this.rateWindowStart)
-        this.rateWindowStart = now
-        this.rateWindowTicks = 0
-      }
-      this.options.onRender(this.accumulator / this.tickMs, elapsed)
-      this.handle = requestAnimationFrame(step)
-    }
-    this.handle = requestAnimationFrame(step)
+
+    const now = this.now()
+    this.lastSimTime = now
+    this.lastRenderTime = now
+    this.simWindowStart = now
+    this.renderWindowStart = now
+    this.simTicksInWindow = 0
+    this.renderFramesInWindow = 0
+
+    this.startSimTimer()
+    this.startRenderLoop()
   }
 
-  /** Stop ticking. Idempotent. */
+  /** Start the self-correcting timer loop for simulation ticks. */
+  private startSimTimer(): void {
+    if (this.simTimerHandle !== null) return
+    let nextTick = this.now() + this.tickMs
+
+    const simStep = (): void => {
+      if (!this.running) return
+      const now = this.now()
+      this.advanceSimulation(now)
+
+      // Self-correct next tick timestamp to eliminate drift
+      nextTick += this.tickMs
+      if (nextTick < now - this.tickMs * this.maxCatchUp) {
+        nextTick = now + this.tickMs
+      } else {
+        while (nextTick <= now) {
+          nextTick += this.tickMs
+        }
+      }
+      const delay = Math.max(0, nextTick - this.now())
+      this.simTimerHandle = setTimeout(simStep, delay)
+    }
+
+    this.simTimerHandle = setTimeout(simStep, this.tickMs)
+  }
+
+  /** Start requestAnimationFrame render loop. */
+  private startRenderLoop(): void {
+    if (this.renderHandle !== 0) return
+
+    const renderStep = (): void => {
+      if (!this.running) return
+      const now = this.now()
+      const frameMs = this.lastRenderTime > 0 ? now - this.lastRenderTime : 16.6
+      this.lastRenderTime = now
+      this.lastFrameMs = frameMs
+      this.renderFramesInWindow += 1
+
+      const renderWindowElapsed = now - this.renderWindowStart
+      if (renderWindowElapsed >= 1000) {
+        this.measuredFps = (this.renderFramesInWindow * 1000) / renderWindowElapsed
+        this.renderWindowStart = now
+        this.renderFramesInWindow = 0
+      } else if (this.measuredFps === 0 && renderWindowElapsed >= 200) {
+        this.measuredFps = (this.renderFramesInWindow * 1000) / renderWindowElapsed
+      }
+
+      this.options.onRender(this.alpha, frameMs)
+
+      if (this.running) {
+        this.renderHandle = this.requestFrame(renderStep)
+      }
+    }
+
+    this.renderHandle = this.requestFrame(renderStep)
+  }
+
+  private requestFrame(cb: (time: number) => void): number {
+    if (typeof requestAnimationFrame === 'function') {
+      return requestAnimationFrame(cb)
+    }
+    return setTimeout(() => cb(this.now()), 16) as unknown as number
+  }
+
+  private cancelFrame(handle: number): void {
+    if (typeof cancelAnimationFrame === 'function') {
+      cancelAnimationFrame(handle)
+      return
+    }
+    clearTimeout(handle as unknown as ReturnType<typeof setTimeout>)
+  }
+
+  /** Stop ticking and rendering. Idempotent. */
   stop(): void {
     this.running = false
-    if (this.handle !== 0) cancelAnimationFrame(this.handle)
-    this.handle = 0
+    if (this.simTimerHandle !== null) {
+      clearTimeout(this.simTimerHandle)
+      this.simTimerHandle = null
+    }
+    if (this.renderHandle !== 0) {
+      this.cancelFrame(this.renderHandle)
+      this.renderHandle = 0
+    }
   }
 }
diff --git a/tests/loop.test.ts b/tests/loop.test.ts
new file mode 100644
index 0000000..4ad9394
--- /dev/null
+++ b/tests/loop.test.ts
@@ -0,0 +1,231 @@
+import { describe, it, expect, vi } from 'vitest'
+import { GameLoop } from '../src/sim/loop.ts'
+
+describe('GameLoop (Issue #19: Decouple simulation from rAF)', () => {
+  it('1. Deterministic ticking at 25 tps in headless/step mode', () => {
+    let tickCount = 0
+    const ticks: number[] = []
+
+    const loop = new GameLoop({
+      tickRate: 25, // 40ms per tick
+      onTick: (tick) => {
+        tickCount++
+        ticks.push(tick)
+      },
+      onRender: () => {}
+    })
+
+    expect(loop.tickMs).toBe(40)
+    expect(loop.tick).toBe(0)
+
+    // Advancing by less than tickMs does not produce a tick
+    loop.step(20)
+    expect(tickCount).toBe(0)
+    expect(loop.accumulator).toBe(20)
+    expect(loop.alpha).toBeCloseTo(0.5, 2)
+
+    // Advancing another 20ms completes 40ms -> exactly 1 tick
+    loop.step(20)
+    expect(tickCount).toBe(1)
+    expect(loop.tick).toBe(1)
+    expect(loop.accumulator).toBe(0)
+    expect(loop.alpha).toBe(0)
+
+    // Advancing by 80ms produces exactly 2 ticks
+    loop.step(80)
+    expect(tickCount).toBe(3)
+    expect(loop.tick).toBe(3)
+    expect(loop.accumulator).toBe(0)
+
+    // Advancing by 1000ms produces exactly 25 ticks
+    loop.step(1000)
+    expect(tickCount).toBe(28) // 3 + 25
+    expect(loop.tick).toBe(28)
+    expect(loop.tickRate).toBe(25.0)
+    expect(loop.simTps).toBe(25.0)
+  })
+
+  it('1b. Deterministic ticking at 25 tps with timers', async () => {
+    let tickCount = 0
+
+    const loop = new GameLoop({
+      tickRate: 25, // 40ms per tick
+      onTick: () => {
+        tickCount++
+      },
+      onRender: () => {}
+    })
+
+    loop.start()
+    expect(loop.isRunning).toBe(true)
+
+    // Wait ~260ms -> should produce at least 5 ticks (40ms * 5 = 200ms)
+    await new Promise(resolve => setTimeout(resolve, 260))
+    loop.stop()
+    expect(loop.isRunning).toBe(false)
+
+    expect(tickCount).toBeGreaterThanOrEqual(5)
+    expect(tickCount).toBeLessThanOrEqual(8)
+  })
+
+  it('2. Artificial render delay test: when onRender has a 50ms stall, simulation ticks do NOT drop and world.tick advances smoothly', async () => {
+    const world = { tick: 0 }
+    let renderCalls = 0
+
+    const loop = new GameLoop({
+      tickRate: 25, // 40ms per tick
+      onTick: (tick) => {
+        world.tick = tick
+      },
+      onRender: () => {
+        renderCalls++
+        // Simulate heavy render frame stall of 50ms
+        const stallStart = performance.now()
+        while (performance.now() - stallStart < 50) {
+          // busy wait
+        }
+      }
+    })
+
+    loop.start()
+
+    // Run for ~220ms
+    // With 50ms render stall per frame, at most 4 render calls can happen (~20 FPS)
+    // But simulation runs at 25 TPS (40ms per tick) -> should produce ~5 ticks
+    await new Promise(resolve => setTimeout(resolve, 220))
+    loop.stop()
+
+    expect(renderCalls).toBeLessThanOrEqual(4)
+    expect(world.tick).toBeGreaterThanOrEqual(5)
+    // Simulation TPS remains high despite slowed rendering
+    expect(loop.simTps).toBeGreaterThanOrEqual(20)
+  })
+
+  it('3. Accumulator recovery and no catastrophic drop on transient lag', () => {
+    let tickCount = 0
+
+    const loop = new GameLoop({
+      tickRate: 25, // 40ms per tick
+      maxCatchUp: 5, // max 5 ticks (200ms) per step
+      onTick: () => {
+        tickCount++
+      },
+      onRender: () => {}
+    })
+
+    // Transient lag of 150ms (3.75 ticks)
+    loop.step(150)
+    // Consumed 3 ticks (120ms), 30ms remaining
+    expect(tickCount).toBe(3)
+    expect(loop.accumulator).toBe(30)
+    expect(loop.alpha).toBeCloseTo(30 / 40, 2)
+
+    // Next step of 20ms: 30ms + 20ms = 50ms >= 40ms -> consumes 1 tick, 10ms left
+    loop.step(20)
+    expect(tickCount).toBe(4)
+    expect(loop.accumulator).toBe(10)
+    expect(loop.alpha).toBeCloseTo(10 / 40, 2)
+
+    // Huge lag of 500ms (exceeding maxCatchUp * tickMs = 200ms)
+    // Old implementation had `if (this.accumulator > this.tickMs * this.maxCatchUp) this.accumulator = 0`
+    // which wiped out all remaining simulation time!
+    // New implementation clamps the backlog to maxBacklog (200ms) instead of wiping to 0.
+    loop.step(500)
+    // 5 ticks executed in this step (tickCount 4 + 5 = 9)
+    expect(tickCount).toBe(9)
+    // Accumulator is clamped to maxBacklog (200ms), NOT catastrophically dropped to 0!
+    expect(loop.accumulator).toBe(200)
+
+    // Subsequent steps recover and consume the preserved backlog
+    loop.step(40)
+    // Consumes 5 ticks from the 200ms backlog + 40ms new time
+    expect(tickCount).toBe(14)
+    expect(loop.accumulator).toBe(40)
+
+    loop.step(40)
+    expect(tickCount).toBe(16)
+    expect(loop.accumulator).toBe(0)
+  })
+
+  it('4. Clean start / stop lifecycle and timer cleanup', async () => {
+    let tickCount = 0
+    let renderCount = 0
+
+    const loop = new GameLoop({
+      tickRate: 25,
+      onTick: () => {
+        tickCount++
+      },
+      onRender: () => {
+        renderCount++
+      }
+    })
+
+    expect(loop.isRunning).toBe(false)
+
+    // Start
+    loop.start()
+    expect(loop.isRunning).toBe(true)
+
+    // Calling start() again is idempotent
+    loop.start()
+    expect(loop.isRunning).toBe(true)
+
+    await new Promise(resolve => setTimeout(resolve, 60))
+    expect(tickCount).toBeGreaterThanOrEqual(1)
+    expect(renderCount).toBeGreaterThanOrEqual(1)
+
+    // Stop
+    loop.stop()
+    expect(loop.isRunning).toBe(false)
+    const stoppedTicks = tickCount
+    const stoppedRenders = renderCount
+
+    // Calling stop() again is idempotent
+    loop.stop()
+    expect(loop.isRunning).toBe(false)
+
+    // Wait and verify timers are cleaned up and no more callbacks fire
+    await new Promise(resolve => setTimeout(resolve, 100))
+    expect(tickCount).toBe(stoppedTicks)
+    expect(renderCount).toBe(stoppedRenders)
+
+    // Restart cleanly
+    loop.start()
+    expect(loop.isRunning).toBe(true)
+    await new Promise(resolve => setTimeout(resolve, 60))
+    expect(tickCount).toBeGreaterThan(stoppedTicks)
+    expect(renderCount).toBeGreaterThan(stoppedRenders)
+    loop.stop()
+  })
+
+  it('5. Interpolation alpha calculation and manual render stepping', () => {
+    let lastAlpha = -1
+    let lastFrameMs = -1
+
+    const loop = new GameLoop({
+      tickRate: 25, // 40ms
+      onTick: () => {},
+      onRender: (alpha, frameMs) => {
+        lastAlpha = alpha
+        lastFrameMs = frameMs
+      }
+    })
+
+    loop.render(16.6)
+    expect(lastAlpha).toBe(0)
+    expect(lastFrameMs).toBeCloseTo(16.6, 1)
+
+    loop.step(10) // accumulator = 10ms (10/40 = 0.25)
+    loop.render(16.6)
+    expect(lastAlpha).toBeCloseTo(0.25, 2)
+
+    loop.step(20) // accumulator = 30ms (30/40 = 0.75)
+    loop.render(16.6)
+    expect(lastAlpha).toBeCloseTo(0.75, 2)
+
+    loop.step(10) // accumulator = 40ms -> ticks, accumulator = 0ms
+    loop.render(16.6)
+    expect(lastAlpha).toBe(0)
+  })
+})