The port checked my pivot claim rather than taking it and found the nuance: the sprite is odd-width, 399, so its true centre is 199.5 against a declared pivot of 200. Half a pixel, far inside the 0.70 and 0.48 px agreement, so it changes nothing -- but "the pivot IS the centre" is the kind of sentence somebody leans on for a sub-pixel claim later, so the page now says it is the centre rounded up. And records the general form of the two bugs this exchange produced, which share one cause. First, a leaf-composition rule was checked against alpha, which moves about 0.3 levels per keyframe unit, so a one-keyframe association error barely shifted it and the rule looked confirmed -- while the same span moved x by 1560 px. Second, fitting t from that same alpha manufactured an 11.5 px position residual that did not exist and sent the consumer hunting a pivot rule to explain it, because one byte of alpha quantisation is worth 1.5 to 1.9 keyframe units. Solve on the fastest-moving field and check the slow one, never the reverse. The second failure is the more expensive: failing to falsify leaves you falsely reassured, but inventing a residual sends you looking for a mechanism. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01QsEPXWVaEpyfudtR6re1Pd
215 lines
10 KiB
Markdown
215 lines
10 KiB
Markdown
# ✅ A nested `.rat` leaf animates on its OWN timeline — the parent's alpha does not multiply in
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**Status:** ✅ **DECODED**, against a GPU draw capture rather than our renderer.
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Answers the port's question: it emits both a parent record and its nested leaf,
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each with its own alpha ramp over a different span, and would not draw the leaf
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without knowing the composition rule.
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## The question
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For the title's light sweeps, parent and leaf disagree about everything:
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| | `ptloop01` parent | its leaf `pteff03.t32` |
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|---|---|---|
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| alpha | 0 → 255 over t=70…100, held to 238, → 0 at 250 | 255 → 128 at t=150 → 255 at 540 |
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| scale | (100, 100) | **(100, 600)** |
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| rotation | 0 | **+30°** |
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| x | fixed 441 | **−639 → −39 → 1521** |
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`ptloop02`'s leaf `pteff03a.t32` is the mirror: (100, **800**), **−45°**, x
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sweeping 1721 → 1111 → −839, alpha 0 → 128 → 255.
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## The oracle
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The per-draw capture records **vertex colours**, and on the title's `ptloop` draw
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(draw 2) they are `C3FFFFFF` and `B6FFFFFF` — **alpha 195 and 182**, not 255. So
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the composed alpha the game actually submitted is observable.
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## The measurement
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Fitting **only the two alphas** to the two leaf ramps gives a single consistent
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time, **t = 355**:
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| | leaf value at t=355 | observed |
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|---|---|---|
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| quad A alpha | **194.8** | **195** |
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| quad B alpha | **182.2** | **182** |
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| parent alpha (both) | **0** | — |
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🔴 **Multiplying the ramps is refuted.** The parent has expired by t=355 (it
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returns to 0 at t=250 and a group **holds** at its last keyframe), so
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`leaf × parent / 255` predicts **0 for both quads** — the sweeps would be
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invisible. They are drawn, at 195 and 182.
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✅ **And the position check was PREDICTED, not fitted.** Nothing about x entered
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the fit; the same t=355 then places the quads from the leaves' own sweeps:
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| | from the leaf at t=355 | measured off the capture |
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|---|---|---|
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| quad A centre x | **981** | **992.0** |
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| quad B centre x | **478** | **467.2** |
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Within ~11 px, on 400-px-wide quads travelling 1 560 and 1 950 px. Four
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quantities — two alphas and two positions, from two differently-shaped ramps —
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all agree on one time.
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## The rule
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**A leaf carrying geometry animates on its own timeline. The parent's alpha does
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not gate it.** For these records the parent is a container: it has no sprite, and
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its keyframes describe nothing that is drawn.
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⚠️ **Reach, and it is not a universal rule about leaves.** This is one draw, one
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capture, one element pair, and it is specifically the case where **the parent
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carries no geometry**. The opposite case is already recorded: for a button, a
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base record's leaf *duplicates* the parent and the **parent wins**
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([`ui-button-focus-record.md`](ui-button-focus-record.md)). So the discriminator
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is which record actually carries the geometry, not a fixed precedence.
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❔ What is **not** established: whether the parent alpha would multiply in during
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a window where it is non-zero. Every observation here has parent = 0, so
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"the leaf wins" and "the parent is ignored because it has nothing to draw" are
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not separated. A capture during t=100…238 would separate them.
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---
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## 🔴 The port's `x = −324` is the OLD keyframe association, applied to leaves
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Implementing the rule above, the port reported the leaf's top-left at
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**x ≈ −324** at t=355 — off-screen left — against **781** (centre 980.5) here.
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Both cannot be right, and the disagreement is not about rotation or pivots.
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Their stated pairing is *"t=150 at x=−639, t=540 at x=−39"*. On the disc the leaf
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reads:
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| pose x | its time | the time it would take under the OLD association |
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|---|---|---|
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| −639 | **0** | 150 |
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| −39 | **150** | 540 |
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| 1521 | **540** | 600 |
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| 1521 | **600** | — |
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**Their pairing is the second column.** Each pose is taking the *next* pose's
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time — which is exactly the association
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[`ui-keyframe-record-layout.md`](ui-keyframe-record-layout.md) refuted and
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HANDOFF carries a red banner about: *a keyframe's time comes **before** its
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pose*. Feeding their pairing into the same interpolation reproduces **−324** to
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the digit.
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✅ **With the corrected association**, t=355 gives top-left **781**, and centre
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**980.5** for a 399-wide sprite — against **992.0** measured off the capture.
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⚠️ **So this is the same defect as the top-level one, in the leaf path.** The
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top-level parser was corrected on 2026-08-29; a leaf is read by `parse_build` on
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a sub-slice, so anything reading leaves through a *separate* path can still carry
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the old association. That the alphas nonetheless matched is the trap: alpha at
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t=355 is inside a long segment where a one-keyframe shift barely moves it, while
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**x is sweeping 1 560 px over the same span** and the shift is glaring. **A rule
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can look confirmed on the insensitive quantity and be wrong on the sensitive
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one.**
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## ✅ The 11.5 px residual is CLOSED — it was the alpha-only fit's resolution
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Left open above as *"do not fit to close it"*. It is closed by **adding
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observables, not by tuning a parameter**.
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The draw's vertex buffer carries positions *and* colours at the **same instant**,
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so all four quantities must agree on one `t`. Solving for `t` from each
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independently:
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| observable | solved t | sensitivity | its own precision |
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|---|---|---|---|
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| quad A x | **357.88** | 4.00 px/unit | ±0.12 units |
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| quad B x | **357.58** | 4.06 px/unit | ±0.12 units |
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| quad A alpha | 355.75 | **0.326 levels/unit** | **±1.54 units** |
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| quad B alpha | 354.09 | **0.265 levels/unit** | **±1.89 units** |
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⚠️ **The alphas are ~50× less precise per unit of time**, because alpha is a byte
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changing by only ~0.3 levels per keyframe unit — so a single level of
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quantisation is worth **1.5–1.9 units**, which at 4 px/unit is **6–8 px of
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sweep**. The 11.5 px was that, not geometry.
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At the position-derived **t = 357.7**, every observable lands:
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| | predicted | measured | diff |
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|---|---|---|---|
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| quad A centre x | 991.30 | 992.0 | **−0.70 px** |
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| quad B centre x | 466.72 | 467.2 | **−0.48 px** |
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| quad A alpha | 195.64 | 195 | +0.64 |
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| quad B alpha | 182.95 | 182 | +0.95 |
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✅ **Sub-pixel on both positions, inside one byte on both alphas** — while the
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parent's alpha is **0** throughout. And the leaf **pivot is (200, 90)** against a
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399×180 sprite, so rotation displaces the centre by essentially nothing and there
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is no pivot/rotation correction to find.
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⚠️ **To half a pixel, not exactly** (the port's check, and worth keeping): the
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sprite is **odd-width**, so its true centre is **199.5**, and the declared pivot
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is 200. The 0.5 px offset is far inside the −0.70 / −0.48 px agreement above and
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changes nothing here — **but do not lean on "the pivot IS the centre" for a
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sub-pixel claim.** It is the centre rounded up.
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⚠️ **The methodological point is the same one this exchange started with,
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inverted.** Earlier, a rule *looked confirmed* because it was checked against
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alpha — the insensitive field. Here the same insensitivity produced a spurious
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11.5 px residual. **The insensitive quantity does not just fail to falsify; it
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manufactures apparent error.** Solve on the fastest-moving field and check the
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slow one, never the reverse.
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---
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## 🔴 Refutation — "125 % is the only non-whole-multiple scale" is WRONG, and by a lot
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`DECISIONS.md` records `title_jp`'s `ptlogo_eff2` at 125 % as *"the single drawn
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element in the whole export at a scale that is not a whole multiple of 100 %"*.
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That census was over **parents only**. Opening the 45 leaves as well
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(`--example scale_census`, output at
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[`data/ui-scale-census-with-leaves.txt`](../data/ui-scale-census-with-leaves.txt)):
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| scale | count | where |
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|---|---|---|
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| **75,75** · **96,96** · **99,99** | 4 each | `pgloading_loop4.rat` on all four loading screens |
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| **75,100** · **96,100** · **99,100** | 4 each | `pgloading_line.t32` |
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| **101,101** · **103,103** · **112,112** | 12 each | `ptlogo1` / `ptlogo2`, entries 4 **and** 7 |
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| **150,150** | 28 | `pgloading_loop1.rat` |
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| **204,208** · **210,220** | 1 each | `ptlogo_eff2` … no: `ptlogoall_eff.t32`, entry 4 |
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| **250,250** | 2 | `pgloading_loop5.rat` → **LEAF** `pgloading_ring.t32` |
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| **125,125** | **2** | `ptlogo_eff2.rat`, entry 7 |
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**Thirteen distinct non-whole-multiple scales, and 125 % is among the rarest at
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2 occurrences.** `ptlogo1`/`ptlogo2` carry 101/103/112 on the **English** title
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too, so this is not a Japanese-build peculiarity. ⚠️ The claim's real content was
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"the only one *the port draws*", which is a statement about the export's element
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set, not about the disc.
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## ✅ And `ptlogo_eff2` itself is decoded — the 125 % is a POP, not a steady scale
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```
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PARENT ptlogo_eff2.rat pivot (169,169)
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t=0 a=0 scale (100,100) pos (412,96)
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t=50 a=0 scale (0,0)
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t=59 a=255 scale (125,125)
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t=71 a=255 scale (125,125)
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t=107 a=0 scale (0,0)
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LEAF ptlogo_eff2.t32 kind 0x8 a=160 scale (100,100) rot 0 → 360 over t=0…960
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LEAF ptlogo_eff2.t32 kind 0xc a=80 scale (100,100) rot 0 → 360 over t=0…960
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```
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* The **125 % lasts 57 units (~0.95 s)** — a scale-0 → 125 % → scale-0 flash
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between t=50 and t=107. It is a transient, not a steady state, which is why it
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looks anomalous in a census of resting poses.
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* The **leaf draws at 100 %**, as **two superimposed copies** of the same sprite
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at alpha **160** and **80**, each rotating **a full 360° over 960 units** — a
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slow double-layered spin, 16 s per revolution at 60 units/s.
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🔴 **And this is exactly the case my `ptloop` rule could NOT separate.** There the
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parent had expired (alpha 0, no sprite) so "leaf wins" and "parent ignored" were
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indistinguishable. Here the parent carries **real geometry** — a scale that
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reaches 0 twice. If parent scale gates the leaf, the spin is a 0.95 s flash; if
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the leaf runs on its own timeline, it spins continuously for 16 s. **The two
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readings differ enormously and nothing on the disc chooses between them.**
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❔ **Undecodable here, with reach:** `title_jp` has **no oracle capture**, so this
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cannot be adjudicated in this container at all. The port is right to withhold it.
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A capture of the Japanese title would settle it — and that is the same
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Japanese-locale capture MISSION has parked as 🟡 since 2026-08-29. |