- server/sim/detmath.js: hypot (sqrt of the squares, rescaled outside 2^±500), powi (integer powers in double-double,
one rounding), sin / cos (fdlibm 5.3) and atan2 (fdlibm / FreeBSD msun) built only from correctly rounded IEEE
operations; the sim's Math.hypot / sin / cos / atan2 / pow calls go through it (65 files); eslint.config.js forbids
the approximated Math functions under server/sim and test/sim/detmath.test.js scans for them.
- sin / cos / atan2 are the algorithms V8 runs in Node, so the server's results stay; only hypot differs from V8's.
Golden: 2 moved — diy-027 (a hypot distance, damage +80) and coop3-ABYSS-5 (a later card pick from round 9, same end).
- Applied unchanged after review (Grok static review: MERGE; the diff read in full: no network, no new dependency).
- Tests: broad node --test 5155 / 5155 with the new file tracked (detmath 7 / 7, package 10 / 10); lint 0 errors,
typecheck, check:imports.
- CHANGELOG 0.2.1 (2026-10-07): the streams' lines collected (新功能: the update package and MANIFEST.json; 规则（按官方）:
联防 on the round's battlefield, 突袭 onto a teammate's half, full potential, the replace dialog for consumables,
the 外勤医疗 Touch, 凋亡, 贾维's 拉普兰德, the 频次 器物 / leader summons; 界面: the collapse arrow, 自选 picks in the bond
lists, flyers, enemy animations, the Touch card, Esc in the 自选 picker; 联机与大厅: battle messages while a battle
loads; 工具与开发: the update build, .gitignore), one intro paragraph.
- README: the dev warning under the title removed, the release badge, 「当前版本 0.2.1」; DESIGN's version line names
0.2.1 (§26) as the state described; §26's intro says when the dev line shipped.
- Tests: version, docs-consistency, docs-paths, package, i18n-packs, update-package, update-boot 80 / 80.
- tools/build-data.mjs applies every potentialRanks attribute step (COST, RESPAWN_TIME, ATK, MAX_HP, DEF,
MAGIC_RESISTANCE, ATTACK_SPEED) to the chess, elites, 补位 and 自选 units and picks talent / trait / module-talent
candidates up to requiredPotentialRank 5; summons take the owner's potential for their talents, not its stat steps.
data/chess.json, backups.json, tokens.json and the en / ja / ko / zh-TW data translations rebuilt; op-wang.js reads
her stock cap (8 at full potential). 刺玫 435 ATK / cost 15, 砾 16 s, 至简 70 s.
- No conflicts outside the golden files (regenerated). Golden vs HEAD: roster 49, bonds 46, fields 22, matches 18,
diy 133 (standins and diy-012 / diy-135…138 unchanged: no potential ranks or never hit). Union check against the
branch and the merge base: every scenario only the branch moved equals the branch, except roster-048 and
solo-ABYSS-2: at full potential a 频次 器物 is reached there (roster-048: one more enemy dies instead of leaking, 86 → 87
units), so R21H's hit count (data × hpMul ÷ supplyHpMul) applies where it did not before — with only that rule put back
(archetypes.js times as at the merge base) both equal the branch exactly.
- Tests: broad node --test 5147 / 5147; lint 0 errors.
器物 (the 14 hit-count keys): hits = data × the spawn's hpMul ÷ supplyHpMul, rounded as before (setHits) — 攻坚装备 / II / III
leave out only 炎佑, 补给线 / 补给线II also exactly these 14 keys (activity_table aceffect_enemy_2 / 2_2 enemy_exclude,
data/effects.json); until now setHits(def.maxHp) overwrote the round's HP (青铜镜 30 hits at every difficulty). build-data
writes enemyScale[r].supplyHp = 1.2^(kHp − kAtk) · extra (the HP-only 补给线II steps and 补给线's 1.08; co-op 终极 R5–R15
only — the rebuild changed config.json alone), gamedata returns it as supplyHpMul and the wave / 悬赏 mods carry it
(waves.js roundMods; a 频次 enemy's death spawn inherits it). Not taken from the PR: its 1.08 / 1.2 back-calculation (it
counted the 补给线II steps as 攻坚装备) and its fractional-HP ceiling. Leader summons (死亡集群's 妖怪, 刺胄之弹,
“裂管之音”/“断弦之音”, 不祥幻影): the boss / hidden field carries the round's scale as flags.enemyScale (bossRounds.js,
golden fields, tools/balance.mjs) and bosses.js summonMods gives them HP / ATK / speed (死亡集群's summon.hp_ratio on
top; 刺胄之弹 / 余音 hit counts follow their HP); the leader's pool stays exempt; 王权号令's invulnerable equipment
unchanged; 炎佑 is an ally token, never scaled (no change). Unchanged and open: the 逐火 / 再生 husk counts (talent
prop_max_hp).
Golden — 器物 counts: roster 37 (002 003 004 005 007–020 022 023 025 026 029–034 036–041 043 045 049: each holds a 器物
extra spawn / 频次 wave / death spawn), bond-soloShip-high, diy 9 (036 040 056 062 068 073 091 114 115), boss-boss_6-solo
(俗心's 小说卷轴 escorts); matches 16 (all but solo-ABYSS-2 and coop2-NORMAL-70-diy: 频次 rounds / 悬赏 and the Final
Assault summons). Summons: boss-boss_1-pair/solo, hidden-boss_8-pair/solo (妖怪, 刺胄之弹), boss-boss_3-pair/solo,
hidden-boss_10-pair/solo (余音), boss-boss_5-pair/solo (不祥幻影). standins unchanged.
PRTS 卫戍协议/帮助 §装备: 「达到上限强行佩戴会改为替换装备：指定一件已佩戴装备替换为将要佩戴的装备，并销毁被指定的装备」,
no exception for the 装备时销毁 items. Before: a normal 博士投影 opened no dialog and its kept item pushed the OLDEST
equipped item out (replaceUid ignored); 盟约之币 and the other consumables kept both items.
- server PlayerState.equip (player/items.js): on a full carrier the consume path takes the pick (replaceUid, else the
oldest) off before onEquip (_takeReplaced), destroys it (onDestroy reason replace) once the effect went through —
the normal 博士投影 takes the freed slot —, and puts it back at its index when the effect refuses (博士投影 on an elite:
nothing destroyed)
- client gameLogic equipReplaces: the replace dialog opens for every item on a full carrier, consumables included,
except an attaching item that completes an item merge and a 博士投影 on an elite; itemAttaches removed
- bots (itemTarget): a consumable whose effect is the same on anyone goes to a carrier with a free slot first (PR #264)
- docs: design/match.md equipment rules, META §2.5, PLAYING 装备 row, research 04
golden (matches only; each traced equip by equip against the parent — the first change of state is a bot's, or the
AI 托管 human seat's, targeted consumable on a full carrier destroying its oldest item): solo-FUNNY-1 (r9 ai_0 随身身份牌),
solo-FUNNY-2 (r9 ai_0 寻呼模块), solo-HARD-2 (r9 ai_0 随身身份牌, r12 简易通讯机), coop2-NORMAL-3 (r9 ai_1 随身身份牌),
coop3-ABYSS-5 (r11 ai_1 随身身份牌), coop4-FUNNY-6 (r4 ai_1 随身身份牌), solo-HARD-9-boosted (r14 ai_0 随身身份牌),
coop2-ABYSS-10-boosted (r13 ai_0 随身身份牌, r14 ai_1 简易通讯机), coop2-NORMAL-14-standins (r9 ai_0 随身身份牌; now won,
14 rounds), coop2-NORMAL-70-diy (r14 h_0 随身身份牌); the bots' free-slot carrier for target-agnostic consumables moves
no scenario by itself; roster / bonds / fields / standins / diy unchanged
Tests: test/sim/feedback5-raid-own-board.test.js — the pair field (the right player's member onto the left telin's board tile (2,3), the left player's onto the mirrored right (2,17), the hand rows closed) and the two-helper 联防 (each helper onto the other's half; 乌尔比安 beside a teammate stays on his own) fail on the parent; the solo boss field's hand rows and the lone helper unchanged.
Docs: docs/history/0.2.1.md (new, §26; §26.1 cites the owner's decision and PRTS 卫戍协议/帮助 §联防阶段), the DESIGN index row and versions line, a pointer from §25.18.1, docs/SIM.md (onFieldBoard; onOwnBoard now 乌尔比安's only).
content/enemies/archetypes.js stealth: an enemy spawned with the band's swap tag 'duck' (content/bands/meta.js
duckReplace) gets its 隐匿 back no sooner than DUCK_STEALTH_RESTORE (1 s, content/enemies/helpers.js) after a block ends
— in practice 流泪小子 (enemy_2034_sythef_2), the only one of the four swaps with 隐匿, officially 0 s (PRTS 流泪小子
「隐匿（解除阻挡0秒后恢复）」). The same enemy anywhere else keeps 0 s: the bounty card's 流泪小子 (enemy_2034_sythef), an
untagged spawn; a 3 s 隐匿 stays 3 s; a copy leaked into 联防 keeps its tag and the 1 s. After each strike (its stunned
blocker lets go) it is now revealed through its 0.8 s post-strike stand and 0.2 s of walking.
Measured, 8 seeds each — leaked / HP left / revealed s per battle; W = 3 elite melee in a lane + an elite sniper vs the
R6 wave's ground enemies with one swapped 流泪小子, B = 8 elites on 战场#01 vs the whole R6 wave with one swap: before
the clip fix W 5/8, 42 %, 2.3 / B 8/8, 47 %, 3.2; after it W 5/8, 31 %, 2.6 / B 8/8, 58 %, 2.5; with the 1 s W 4/8,
31 %, 4.0 / B 8/8, 56 %, 5.5. Options for the owner (measured on the fixed engine, not built): 2 s W 4/8, 31 %, 5.4 /
B 8/8, 46 %, 8.5; 3 s (the general 隐匿 rule) W 4/8, 31 %, 6.4 / B 8/8, 39 %, 11.5; a 1.5 s stun on the copy (below its
2 s interval, so its blocker takes it over again) W 4/8, 2 %, 4.0 / B 4/8, 6 %, 5.5; a 1 s stun: knocked out in all 16;
the 1 s delay + a 2 s stun W 4/8, 21 %, 5.1 / B 5/8, 26 %, 8.1. Worse: half speed while 隐匿; a stunned operator that
keeps blocking it (pins that operator for good).
Golden: matches solo-HARD-2 — its bot holds 鸭爵; the swapped 流泪小子 of round 13 is free and revealed for 49 ticks in
its 1 s windows (the round-12 one is never released by a block), so the match parts at round 13 (a victory instead of
a defeat); the other 282 scenarios unchanged.
Tests: test/content/feedback5-duck-restealth.test.js (3; the swap's 1 s and the band path fail on the parent, the 0 s
guard passes on both); enemies_bosses, feedback2-surtr-stealth, feedback1-ducklord, feedback5-attack-clip-rest pass.
Docs: CHANGELOG 0.2.0 有意与官方不同的调整 (and the 核实后不是问题 line points to it), docs/history/0.2.0.md §25.22.6,
docs/PLAYING.md, docs/SIM.md, design/engine.md.
ai.js enemyAttack set the post-strike stand only for an unblocked ranged enemy (`!e.blockedBy && radius > 0`), so a
melee enemy released by its own strike walked on that very tick. 流泪小子 (enemy_2034_sythef_2, the strategy's version;
「泪眼汪汪」 / 「哭狗」 in the reports) stuns its blocker with every hit, the stunned blocker lets it go and its 隐匿 is
back 0 s later: on 0255afd it walked off the tick of each strike (four non-attacking walls in a lane: 8 stuns, 19.8 s
隐匿 / 9.0 s revealed, leaked at 28.9 s). PRTS 状态机: an enemy's ATTACK state 「每帧检查异常状态…攻击结束后回退到MOVE状态」
and COMBAT 「逻辑同ATTACK」 — only a character's COMBAT 「检测到不存在阻挡对象时强行切回IDLE状态」 — so an enemy finishes its
attack when its blocker goes. Now every enemy stands for the rest of its clip after a strike (attackStand; a blocked one
never walks, so it shows only when the block ends meanwhile: its blocker stunned or knocked out by that strike, or
gone); a stun / freeze / sleep / 浮空, leaving the field and, new, a displacement (失衡, Battle.displace) end the stand.
流泪小子 now stands 0.8 s (its 1.567 s clip, strike at 0.767), 隐匿, and a blocker whose stun ended often takes it over
again: the same lane 13 stuns, 29.1 s 隐匿 / 12.8 s revealed, leaked at 42.0 s.
Checked and official, unchanged: a stunned operator blocks nothing (gamedata_const ba.stun 「无法移动、阻挡、攻击及使用技能」,
PRTS 异常效果 STUNNED 「无法攻击、释放技能、阻挡敌人类单位」 — the keeps-blocking hypothesis is wrong); 隐匿 back 0 s after a
block (PRTS 流泪小子); moveSpeed 0.8 × the level's moveMultiplier 0.5, interval 2.0 s, stun 3.5 s, MELEE (enemy_database;
PRTS 盟约记录 鸭爵 备注: 4500 HP, 3.5 s stun, 隐匿 kept); the cooldown runs on the walk, so a new blocker sees the swing at
once and the strike after the 0.767 s wind-up; a bot teammate's 鸭爵 swaps into a human's battles, the Final Assault and
the Hidden Core too (「你和队友遭遇的部分敌人」), on the replaced enemy's route.
Golden — traced in lockstep against a copy of the parent: in each of the 199 battle scenarios the first differing tick is
an enemy standing out its clip after a strike where the parent walked on; every moved match has such stands in an
earlier or the same round. roster 41 of 49 (all but -003, -005, -009, -018, -019, -025, -035, -049); bonds 21
(deputShip-low, emptyShip-low / -high, indomShip-low / -high, investShip-low, kazimierzShip-low / -high,
kjeragShip-high, lateranoShip-high, miraShip-high, raidShip-low, sargonShip-high, siracusaShip-low, soloShip-low /
-high, suntShip-low / -high, swiftShip-high, visiShip-low, yanShip-low); fields 13 (all but boss-boss_1-solo,
boss-boss_2-pair / -solo, boss-boss_6-solo, boss-boss_7-pair / -solo, hidden-boss_8-solo, hidden-boss_10-solo,
unite-1); matches 17 (all but solo-HARD-9-boosted); standins 10 of 10; diy 114 of 138 (all but -011, -012, -018, -020,
-025, -027, -029, -031, -033, -047, -053, -077, -080 … -082, -086 … -088, -091 … -093, -098, -108, -123). The
displacement rule alone moves one roster scenario.
Tests: test/sim/feedback5-attack-clip-rest.test.js (5; the four behaviour tests fail on the parent, the data pin passes
on both); test/sim (745), test/content + feedback1-ducklord (2030), test/match (593) pass. Docs: CHANGELOG 0.2.0 规则
（按官方） and 核实后不是问题, docs/history/0.2.0.md §25.22.6, docs/SIM.md, design/engine.md, DATA.md.
The report's steps 1-2 were verified and hold: the bond HP is on every member before the devour (an elite 深巡,
2904 HP / DEF 655, stands its 4345 from 15 layers on), and each mark is one 5000 物理流失 less DEF (PRTS), so a member
in the middle of a chain is marked by every 阿戈尔 behind it — that is what knocked out the reporter's 蓝蒂 / 小鲨.
Golden unchanged: the corpus's only 5-阿戈尔 battle (bond-egirShip-high, 999 layers) has no devour knock-out.
DESIGN §25.22.5.
Seen (community report 「蕾缪安3技能范围里没人好像会自动结束」, relayed by the owner): with S3 locking, the locked enemy
killed or walking out of her range and nobody else in it, the skill ended at the next lock tick — the shells fell at
once and the bullets left were thrown away (repro on 0255afd: 3 of 5 bullets lost; a walker leaving her range, 1 lost).
Cause: chess_char_6_01-lemuen.js:169 `if (!e) { if (m.lemLocks.length) skill.end('ammo'); return; }`, there since the
initial import with no decision behind it.
Official: 「攻击装有5发弹药，打完后结束（可随时停止技能）」 — an ammo skill ends when its bullets are spent or the player
stops it; PRTS 卫戍协议/帮助 技能操作 「通常不会自动关闭技能」 (only 玛露希尔's 召唤使魔 is closed automatically); the client
(charpack char_4193_lemuen, buff_template_data lemuen_s_3): the S3 lock is an attack that needs a target and the skill
buff switches to the bombardment mode on ON_BUFF_FINISH only.
Now: with nothing to lock the skill waits (bullets and locks kept, the marks following their enemies or staying where
they left), its lock ready, so the next enemy in range (or 通缉) is locked on the next tick; it ends when the bullets are
spent and the shells fall on every mark in lock order as before. The S3 'lock' fx carry `hold`: render/fx/locks.js keeps
those reticles while the shooter's skill bit (UF.SKILL) is on and starts their LOCK_T at the skill's end (they faded 5 s
into a wait otherwise); S2's aim lock keeps its timeout.
Golden — traced on both trees (SkillRuntime start / end, the round's fields, the carried SP); in each the first
divergence is an S3 the parent ended with bullets left and nothing in her range:
- roster-018: the elite 蕾缪安's S3 of 7.63 s ended at 9.63 s with 2 of 6 bullets left; now the 6th goes at 12.00 s
(first differing snapshot window 0–10 s).
- boss-boss_3-pair: her S3 of 27.8 s ended at 30.3 s with 4 of 9 left; now all 9 by 34.43 s (window 30–40 s); the boss
now falls at 199.53 s instead of the 200 s cap.
- coop2-NORMAL-14-standins: ai_0's 蕾缪安 in round 11 ended S3 at 17.2 s (6 of 8 left) and 77.97 s (7 of 9); now she
spends them, enters the 联防 with 25.96 SP instead of 10.27, casts S3 there and kills one more of h_0's leaked enemies:
h_0 loses 1 LP less (rounds 11–12 LP 18 → 19, 8 → 9; lpLost 30 → 29; ai_0 kills +1).
bonds, standins, diy unchanged.
Tests: test/sim/feedback5-lemuen-s3-wait.test.js (3; the killed target and the walker who leaves fail on the parent),
test/render/fxproj.test.js +1 (a held lock waits while the skill bit is on; fails on the parent renderer).
Docs: CHANGELOG 0.2.0 规则（按官方）, docs/history/0.2.0.md §25.22.8 (also notes, unchanged: S2 spends a bullet on every
normal attack where PRTS says only the 通缉 snipe does — left to the owner).
ai.js updateEnemy returned on `stunned && !e.hidden` before the contact check (Battle._checkBlock), and 冻结 / 沉睡 / 浮空
set `stun` too, so a held enemy was never checked: an operator redeployed or deployed beside it, a slot freeing up or a
push / pull into contact with a stun all waited for the status to end (0.1.4 had it too). PRTS 异常效果: STUNNED / FROZEN
stop the enemy's moves and attacks and hold no 不可阻挡 (BLOCK_FREE), which SLEEPING / LEVITATE do; 术语释义 冻结 names no
block; 作战机制 §碰撞体积与位置识别: an operator deployed onto an enemy blocks it, a standing one included. The held branch now
runs the same check before it returns (no move, no attack, as before): _checkBlock still refuses 沉睡 / 浮空 / 恐惧 /
不可阻挡, an enemy held short of contact is blocked only once it walks in (the same point as without the status), and the
3 s 隐匿 window after a block's end is unchanged. A block the held enemy already holds is still not re-checked (a reborn()
重生 keeps its blocker, as in 0.1.4: noted as open in §25.22.1).
Golden — in each scenario the first divergence is a stunned or frozen enemy blocked during its status by an operator or
summon it touched with a free slot (traced one by one with an instrumented copy): roster-003, -014, -015, -016, -017,
-018, -019, -031, -036, -038, -040, -041, -045, -046, -047; bond-indomShip-high, bond-kazimierzShip-high,
bond-raidShip-low, bond-siracusaShip-low, bond-suntShip-low; boss-boss_3-solo, boss-boss_4-pair, boss-boss_7-solo,
hidden-boss_8-pair, hidden-boss_9-pair, hidden-boss_10-pair, unite-2; matches solo-FUNNY-1, solo-NORMAL-2, solo-HARD-2,
solo-ABYSS-1, coop2-NORMAL-3, coop2-HARD-4, coop3-ABYSS-5, coop2-NORMAL-8-serverrun, coop2-NORMAL-70-diy; diy-003, -004,
-026, -034, -035, -056, -057, -065, -066, -070, -071, -094, -095, -101, -102, -103. standins unchanged.
Tests: test/sim/feedback5-frozen-reblock.test.js (9; the four #232 cases and the 晕眩 / 冻结 capacity cases fail on the
parent). Docs: CHANGELOG 0.2.0 规则（按官方）, docs/history/0.2.0.md §25.22.1, docs/SIM.md (§1.2 Blocking, stun, freeze),
docs/design/engine.md, docs/PLAYING.md.
sganggs