ludic/docs/language/anim/anim-frame.md
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feat(stdlib): add Anim.* + Tween.* — deterministic 2D animation & tweening (#5)
Two ECS-native, deterministic namespaces for 2D motion, driven off the fixed
frame clock so replays and lockstep netcode reproduce every frame and every
eased value exactly. Both are pure computed-inline Q16.16 / integer math (no new
runtime, no heap) — the game stores a timer on a component and calls these each
frame, exactly the way Collision.* / Grid.* are used.

Anim.* — spritesheet frame animation:
  - Anim.frame(timer,fps,count) -> int      looping frame index
  - Anim.once(timer,fps,count) -> int       one-shot, clamps on the last frame
  - Anim.pingpong(timer,fps,count) -> int   bounce 0..count-1..0
  - Anim.finished(timer,fps,count) -> bool   has a one-shot run past its end?
  - Anim.duration(fps,count) -> fixed        seconds for one cycle
  - Anim.cell_x/cell_y(frame,cols,cell) -> int  source rect on a grid sheet

Tween.* — value interpolation over a timeline:
  - Tween.progress/loop/yoyo(timer,duration) -> fixed  normalized amount
  - Tween.done(timer,duration) -> bool
  - Tween.ease(t, mode) -> fixed             shape by a literal curve 0..6,
                                             the same curves as Ease.* (now
                                             factored into a shared ease_eval)
  - Tween.number/round/point/tint(from,to,t) blend a fixed / int / Vector / color

The typed blends reuse the existing fixed / Vector / color helpers, and
Tween.ease shares Ease.*'s exact formulas via the new ease_eval(mode,t) — one
source of truth for every easing curve in the engine.

examples/library/anim.ludic asserts 34 cases (frame math, clamping, ping-pong,
cell geometry, timeline clamp/loop/yoyo, rounding, color/vector blends, and
Ease.in == Tween.ease(.,1)); wired into x test (now 62 passed). Docs: Anim +
Tween sections with 16 per-symbol pages, inventory/coverage green. Seed
reseeded; the C-free bootstrap fixpoint holds.

The stateful sugar the proposal sketches (named clips, Anim.play, fluent
Tween.chain/parallel handles, and an auto-injected advance system) is deliberately
left as a follow-up — this lands the deterministic math core both halves stand on.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-08-31 13:05:06 +03:00

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Markdown

---
id: anim-frame
name: Anim.frame
category: anim
kind: namespace-method
tokens: Anim.frame
sig: Anim.frame(timer, fps, count) -> int
tip: The looping frame index for an elapsed timer at a given fps.
order: 1
ns: Anim
member: frame
---
Returns the current frame of a looping clip: <code>floor(timer * fps)</code> reduced modulo <code>count</code>. <code>timer</code> is elapsed seconds as a <code>fixed</code>, <code>fps</code> the clip's frames per second, and <code>count</code> the number of frames. The clip wraps forever — frame <code>count-1</code> is followed by frame <code>0</code>.
Parameters:
- `timer` — elapsed seconds (a `fixed`)
- `fps` — frames per second
- `count` — number of frames in the clip
```ludic
program Demo {
property Sprite { timer: fixed = 0.0 }
model Hero { Sprite }
handler Run phase Update {
Sprite.timer = Sprite.timer + Time.delta()
let cell = Anim.frame(Sprite.timer, 12, 4) # 4-frame run at 12 fps
print(cell)
}
}
```