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