The refutation used the wrong hash function. A record key is tag_hash of the
record's own name, not the pak-TOC name_hash which lowercases and uses a
different modulus:
tag_hash("Formation_4_Bird") = 0x22a5eeed <- exactly the record key
name_hash("Formation_4_Bird") = 0x6286edad <- the wrong hash, hence
the recorded "0 of 16"
Formation_4_Bird IS a record name in FormationSet_S02.tbl and every record in
that table keys by tag_hash of its name. Across all 28 UnitGroup_S<NN>.tbl the
same holds for field keys: 6960 of 6960 are tag_hash(field name), 0 are
name_hash. So FormationID resolves by a direct hash lookup and the roster
indirection is NOT required for it.
This is exactly the trap idxd-container.md warns about, and it cost this file
a spurious refutation. The original text is kept below the correction.
The squadron half of the claim still stands and is marked so: a squadron
record's key is not tag_hash of the squadron id either -- tag_hash("TCN001")
is 0x760cdeaa against keys running 0x659aff47 -- because the record's NAME is
not the squadron id. That roster indirection is real.
Also closes the file's standing "the key derivation stays open, a second hash
function is unidentified": that function is tag_hash, recovered since.
Found while checking a subagent's claim rather than taking it -- it reported
the hash correction, and verifying it turned up that the FormationID half was
a stronger result than reported.
Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01PMRJjbxLqZtsb5Vb7KunPE
10 KiB
stage\UnitGroup_S<NN>.tbl — the per-stage squadron roster
Status: ✅ container format and field semantics, validated across all 28 stage tables present on the disc; 🟡 one member field; ❔ the record key and the arrival-interval values.
Reached from the per-stage definition record's EnumerateSquadron field — see
stage-definition-table.md. Tool:
tools/re-capture/unitgroup.py (pure static; runs no emulator).
python3 tools/re-capture/unitgroup.py S02 # full roster
python3 tools/re-capture/unitgroup.py --all --check # self-check every stage
A committed dump of Stage 02 is at ../data/unitgroup-s02.txt.
✅ Container
0x00 "IDXD"
0x04 u32 nrec
0x08 nrec x 16 record: (key, squadron_off, field_lo, field_hi)
u32 npool
npool x 12 property entry: (tag, name_off | 0xffffffff, value_off)
u32 strsize -- and STR + strsize == filesize, exactly
strsize string pool; [0] = "Enumerate_Squadrons", [0x14] = ""
Every offset in the file is relative to STR, the string-pool base. A
record's fields are pool entries [field_lo, field_hi). An entry with
name_off == 0xffffffff is positional; otherwise the entry carries its own
field name inline, so the table is self-describing and the tag hash never has to
be inverted.
Exactly one record per file is not a squadron: it is the Enumerate_Squadrons
roster, whose entries map key -> squadron id for every other record. It is
usually the last record but not always — in S05, S06, S07, S08, S09, S11, S13,
S28 and S29 it sits elsewhere, so find it by its missing Count, not by
position.
✅ A squadron record
Five named fields, always present and always these five:
| field | values |
|---|---|
Count |
1 (×1082), 2 (×50), 3 (×8), 4 (×20) |
SideID |
ADAN (745), TCAF (294), Neutral (121) |
AIID |
31 distinct, e.g. AI_ADAN_CraftSquadron_Veteran, AI_TCAF_BirdFlight, AI_ADAN_Fleet, AI_Structure, AI_TraceRoute |
FormationID |
e.g. Formation_4_Bird, Formation_ADAN_Turret07_30, Formation_1_only |
DisableInterval |
No (1129), Yes (31) |
…preceded by Count member tuples of four positional entries:
(unit model, message set, n, identity)
- unit model — 122 distinct, and they are our XBG7 mesh names:
UN_f001_TCAF_DeltaSaber_T_Player,UN_e010_ADAN_Attacker_S,UN_e007_ADAN_Turret,UN_bf001_TCAF_SchlosBase. - message set — the squadron's radio chatter, e.g.
MessageSet_Ellen,MessageSet_ADAN_plA. n— ✅ the number of units this tuple instantiates, filling slots of the squadron's formation. Integer 1…30, dominated by 1 (735) and 9 (197). See "Whatncounts" below — the old note that it is "not the_NNsuffix ofFormationID" was right but drew the wrong conclusion.- identity — 63 distinct: named pilots (
ELLEN,SANDRA,RAYMOND,YOJI), ship nameplates (NP_Charon,NP_Amalthea,NP_Olympus), carrier tags (Carrier_ADAN01), cargo tags (CARGO_1), or empty.
Worked example — Stage 02, squadron TCN004, the player's own flight:
TCN004 TCAF Count=2 DisableInterval=No Formation_2_Rhino1 AI_TCAF_RhinoFlight
unit=UN_f001_TCAF_DeltaSaber_T_Player msg=MessageSet_Katana n=1 id=Character_Player_Test
unit=UN_f001_TCAF_DeltaSaber_T msg=MessageSet_Ellen n=1 id=ELLEN
✅ Two independent self-checks, both corpus-wide
len(fields) == Count * 4 + 5— holds for 1160 of 1160 squadrons across all 28 stage tables. This is what pins the member-tuple width at 4 and the named-field count at 5; it was not assumed.- Roster agreement — the
Enumerate_Squadronsrecord'skey -> idmapping agrees with the name each record resolves independently through its ownsquadron_off, for 1160 of 1160.
S17 has no stage\UnitGroup_S17.tbl in GP_MAIN_GAME_E.pak, matching the
missing S17 stage record.
❌ Refuted along the way
- The record key is not the squadron id's name hash.
name_hash("TCN001") = 0xd639f1a4, but the keys run0x659aff47, 0x659b0046, 0x669b0047, …— 0 of 112 match. What the key encodes is still ❔. Its byte structure (b0ramping,b2taking small signed values) looks like a packed tuple, untested. - Squadron ids do not use a separate string base. An earlier reading here
put them at
STR + 0x15and scored "109 of 111", which looked like a near-fit but was an artefact of the uniform 7-byte id stride — it silently shifted every name by three entries (record 0 read asADN104instead ofADN101, and 17TC*-named squadrons came out withSideID = ADAN). The roster record refuted it outright, and with the correct base — plainSTR— agreement is 111/111. The lesson is that a 98 %-looking score on a self-consistent stride is not evidence; the roster was an independent oracle and should have been consulted first. - The 20-byte "section header" described in an earlier draft of
stage-definition-table.md does not exist. What
looked like
(tag, 0, 0, count, size)was the file's last 16-byte record followed by thenpoolword. The corrected layout above is uniform across all 28 files, which the earlier reading was not — it failed on 9 of them.
What is still open
- The meaning of the 4-byte record key.
- The member tuple's third field
n. - The interval values.
DisableIntervalis a per-squadron flag and 31 squadrons set it, but the interval durations, spawn triggers and arrival positions are not in this file. The next places to look areFormation_*.tbl(the formation geometry and possibly its timing) andEnumSquadron_Test.tbl, both named by the stage record.
✅ What n counts — bounded by the formation, 1159 of 1160
n is the number of units the member tuple instantiates. The evidence is a
hard, falsifiable inequality against a table UnitGroup never mentions.
FormationSet_S<NN>.tbl is the same IDXD container, and a formation record is a
slot list: one named field FrameCount plus 8 positional fields per slot —
FrameCount = 4 → 33 fields, 14 → 113, 30 → 241, 32 → 257, i.e.
1 + 8·FrameCount, exactly.
Resolving each squadron's FormationID to its formation (below) and comparing:
sum(n) <= FrameCount: HOLDS 1159 VIOLATED 1 unresolved 0
of the holders, sum(n) == FrameCount exactly: 539
Across all 28 stages, every FormationID resolves and every squadron
but one fits its formation, with 46 % filling it exactly. A field unrelated to
formation size would not do that.
The one violation is a debug leftover, recorded rather than swept up: S20
(a tutorial stage), Formation_1_only (FrameCount = 1) with n = 2 —
AIID = AI_Test, msg = MessageSet_test, no identity, unit
UN_e015_ADAN_Puppy_2. It is still a literal violation of the invariant.
✅ The formation name's trailing number IS FrameCount
Formation_ADAN_Turret07_30 → FrameCount = 30; Formation_TCAF_ArrowHead02_32
→ 32; Formation_4_Bird → 4 (leading, this family has no suffix). So the old
observation that n = 9 does not match the _30 in
Formation_ADAN_Turret07_30 is correct and not evidence against n being a
count: 9 units occupy 9 of that formation's 30 slots.
❌ WITHDRAWN — "FormationID does not hash into the table"
It does. The refutation below used the wrong hash function. A record key is
tag_hash of the record's own name — not the pak-TOC
name_hash, which lowercases and uses a different modulus. Checked directly:
tag_hash("Formation_4_Bird") = 0x22a5eeed <- exactly the record key
name_hash("Formation_4_Bird") = 0x6286edad <- the wrong hash, hence "0 of 16"
Formation_4_Bird is a record name in FormationSet_S02.tbl, and every
record in that table keys by tag_hash of its name. Across all 28
UnitGroup_S<NN>.tbl the same holds for field keys: 6960 / 6960 are
tag_hash(field name) and 0 are name_hash. So FormationID resolves by a
direct hash lookup and the roster indirection is not required for it.
This is the exact trap idxd-container.md warns about, and
it cost this file a spurious ❌.
🟡 The squadron half of the original claim still stands: a squadron record's
key is not tag_hash of the squadron id either (tag_hash("TCN001") =
0x760cdeaa, against keys running 0x659aff47…), because the record's name
is not the squadron id. The roster maps id → record, and that indirection is real.
The original text, kept
FormationID does not hash into the table: name_hash("Formation_4_Bird")
= 0x6286edad, and the record key is 0x22a5eeed — 0 of 16 resolve that way.
FormationSet_S02.tbl has 17 records for 16 formations, and the extra one is
a name roster, exactly like Enumerate_Squadrons here: it carries no
FrameCount and its fields are (tag, name, "") triples whose tags are the
record keys. Find it by its missing FrameCount, map name → key, done.
That is the same convention twice in two different tables, which is worth remembering for the next one: a table's record keys are resolved by a roster record inside the table, not by hashing the name.
🟡 What this does not settle
- It shows
sum(n)fits the formation, not that each unit is separately instantiated. "Slots consumed" and "units spawned" are indistinguishable here. - It does not close the 387-vs-~300 gap in
roster-to-craft-link. Σ
nover all of Stage 02 is 387 against 296–300 live craft. That count was measured mid-mission after kills, and squadrons deploy across phases, so the two are not comparable as they stand — but the earlier note rejectedn = 387as the craft count on the assumption that everything deploys at once, and that assumption is still untested. - ✅ The key derivation is no longer ❔: the "second hash function" is
tag_hash, recovered since this was written. Record keys and field keys are bothtag_hashof their own name — 6960 / 6960 field keys across all 28UnitGrouptables, 0 matchingname_hash.