Seen (PR #402, measured again on 0.2.2): TICK = 1/30 is not a binary fraction. An attack cooldown counted down from 1 s
stops at 2.1e-16 after thirty steps and the fire check `atkCd > 0` waited a 31st frame; 300 time gains of 1/30 SP add up
to 9.999999999999975 and `sp >= cost` charged a 10-SP skill a frame late. Over the 265 golden battles 30.85 % of the
consecutive attacks on a whole-frame interval came a frame late (control, other intervals: 0.09 %), and 4 157
end-of-tick states sat within 1e-9 under a cost. The engine already took timers within 1e-9 as done (skill timeLeft,
buffs, every() / after(), enemy abilities, nextCastAt, the 失衡 end); these two did not.
Official: PRTS 作战机制/sandbox 「帧对齐机制对攻速的影响」 — one frame = 1/30 s; since 2019-12-24 a non-integer frame count
is rounded (四舍五入); an exact 1 s is 30 frames under any rule.
Now: ai.js attackCountdown(cd, dt) (left within 1e-9 of 0 is 0) for the operators' cooldown (the canAct guard kept) and
the enemies' (not while stunned or hidden; the 0.2.2 失衡 swing cut untouched) — an enemy's whole-frame wind-up is exact
too (0.4 s: 12 frames, 13 before). The same countdown for the two strict `cd -= dt; if (cd > 0)` attack clocks of the
same shape: the 双眼皮 turrets (content/devices.js; BAT 4 s: 121 → 120 frames) and 寒檀's S2 icicles (0.5 s: 16 → 15).
SkillRuntime.gainSp takes SP within 1e-9 of the cost as full for every charge (a tiny negative remainder → 0);
_normalize compares the same way. Left as they are: a non-integer count still ends on the frame that crosses 0
(⌈30 × interval⌉ — the official 四舍五入 is an older, separate difference); the count-up content clocks that restart from
0 (bosses.js self-timers, kit auras — PR #402's list); attack / hurt SP (+1 on an integer cost) unchanged.
Tests: test/sim/tick-tolerance.test.js (new, 7: the PR's four adapted — residue, attackCountdown over bat 0.1–10 s ×
14 ASPD = ⌈30 × interval⌉, 1 s operator every 30 / 3 s ranged enemy every 90, time SP 4/10/16/20/30/50 at exactly 30 × N
gains for one and two charges — plus the 1.2 s / 1.25 s control (36 / 38), the turret at 0 layers (120) and 寒檀's
icicles (15); the four engine tests fail on the parent: 31 / 91, cost 4 at 121, 121, 16). The PR's seven test edits,
re-run: the same 8 assertions failed on the new timing and each edit passes on the parent and on the fix —
feedback2-surtr-stealth (count once no arrow is in flight), kits_alt_t2 拉普兰德 S1 (dummy ATK 300 → 250: 120 × 15 = her
1791 HP by 59.5 s), kits_alt_t6 (medic smoke at half HP; 余 S1 up to the first 燃烧 burst), op_jesca2 (the T6 shield
returns a tick after the cast), op_lmlee (hits before the burst), op_logos (count after the clear), op_narant (the first
attack thrown after the new enemies). node --test (with the golden of the next commit): 5703 tests, 5701 pass, 0 fail,
2 skipped; eslint 0 errors (135 warnings, the parent's 135); typecheck, check:imports, smoke ok.
feedback7 R23-TICK: golden for whole-frame attack intervals and SP costs (PR #402) — 281 of 283 scenarios move: roster 49/49, bonds 46/46, fields 22/22, matches 18/18, standins 10/10, diy 136/138; solo-NORMAL-1 now loses its Final Assault (below)
npm run golden:update on the previous commit. Every family moves because both sides attack on time (more enemy kinds
than operator forms sit on whole-frame intervals: 3 s, 4 s, 1 s …) and time SP charges a frame sooner. Measured over
the 265 battles: whole-frame consecutive attacks a frame late 30.85 % → 0.04 % (control 0.09 % → 0.13 %; 1 s gaps at
30 frames 256 → 3 776 of ~3 800, 3 s at 90 frames 0 → 6 657 of 6 657), SP float-short states 4 157 → 0. Moved battles'
totals: kills 10 647 → 10 625, leaks 12 398 → 12 445, deaths 2 913 → 2 944. Unchanged: diy-040, diy-069.
End results that flip (one frame cascades; the causes as measured with the matches' battles instrumented):
- solo-NORMAL-1: won → lost in round 14 (passed 14 → 13, team LP 8 → 0): the Final Assault on 卢西恩 (pool 390 000) runs
as before for two minutes (his 0.4 s wind-up a frame shorter), then the team's damage on the pool trails — 884 left
when the overtime drain (from 300 game s) takes the last of the 17 LP at 334 s; before, it emptied at 318 s, 8 LP left.
- solo-HARD-1: LP 10 → 12 — round 8 lets one more through (26 → 25; rounds 11–12 even it out) and the Final Assault ends
at 300.6 s, before the overtime drain (304.8 s and 2 LP before).
- solo-NORMAL-2: LP 9 → 25 — round 5 lets one more through (26 → 25, a coin less), the bot's shop path parts from round
6 and its later board (突袭, 232 layers at round 13 against 94) clears rounds 12–13 with no leak (7 + 18 before).
- coop2-NORMAL-3: team LP 63 → 68 — ai_1's round-13 battle leaks 1 instead of 6 (its round-12 leaker now goes to 联防).
- coop2-ABYSS-10-boosted: team LP 583 → 630 — the Final Assault ends at 606.6 s (639.6) and the Hidden Core at 335.9 s
(397.8): 47 LP less of overtime drain.
- coop2-NORMAL-14-standins: team LP 41 → 40 — ai_0's round-13 battle lets one 潜伏者 through (23 → 22).
- roster-016: cleared at 220.3 s → time-out at 230 s (主角阵营角色 leaks instead of falling; kills 101 → 105, leaks 26 → 22).
- roster-041: time-out → cleared at 189.0 s, perfect (the last 粉碎攻坚组长 falls inside the 190 s).
- bond-suntShip-high: cleared at 164.2 s → time-out at 190 s (kills 11 → 13, deaths 4 → 2).
- standin-04: perfect → 10 leaks (deaths 8 → 10; 萨卡兹大剑组长 / 萨卡兹穿刺手 / 澪 get through).
- diy-005 / diy-008 (艾丽妮 / 赫拉格): cleared at 225.3 s → time-out at 230 s (a last 宿主重装士兵 / 深池方阵指挥官 walking).
- diy-127 (白铁 / 酒神): time-out → cleared at 225.8 s (deaths 7 → 13, leaks 57 → 72).
- diy-131 (死芒): perfect → 1 leak (a 掠海漂移体).
The other matches keep their ends (solo-FUNNY-1/2, solo-HARD-2, solo-ABYSS-1/2, coop2-HARD-4, coop3-ABYSS-5,
coop4-FUNNY-6, coop4-ABYSS-7, coop2-NORMAL-8-serverrun, solo-HARD-9-boosted, coop2-NORMAL-70-diy). PR #402's own
0.2.1 table (coop2-NORMAL-14-standins loss → win, solo-HARD-2 / solo-ABYSS-2 earlier exits) was measured before §27 and
does not repeat here.
gamedata_const ba.protect / PRTS 术语 庇护 "受到的物理和法术伤害降低相应比例（同名效果取最高）": the strongest source holds; the
自选 kits already used battle.applyStrongest('protect'), these six multiplied private cuts with it.
- kits/shared/tier1.js: PROTECT, protectMods, PROTECT_TICK_HOLD and holdProtect (applyStrongest on the shared key).
- 宴 / 赫拉格 / 左乐 (below their HP threshold): refreshed every tick and at each hit on them; 余 (blocking) and 缪尔赛思's
melee copies at their old cadence; 赫德雷's 庇护 joins the key, his CRU-X 物理伤害 + becomes its own instance. 左乐 keeps the
PRTS S2 ordering (his own 庇护 newer than his barrier cuts behind it); 行险 drops his own held 庇护 for its 0.1 s
re-judgement [ASSUMED: another source's returns with its next refresh]. 遥's bubbles stay separate (the client's
damage_resistance[bonus] multiplies with the common damage_resistance[inf]).
Golden: no scenario moved — no unit of the corpus holds two 庇护 at once, and one source alone cuts exactly as before.
Tests: test/content/feedback5-protect.test.js (new, 2); kits_t6 (余), kits_alt_t6 (缪尔赛思), op_hodrer updated to the
shared key; kits_t1t2, op_helage, op_zuole pass. Docs: SIM.md §3, kits/README.md checklist 9.
Ported by hand:
- #109 kit hunks → kits/ops (the tier files stay re-export shims): 宴 chess_char_1_18-utage.js, 野鬃
chess_char_1_19-wildmn.js, 砾 chess_char_2_12-gravel.js, 斯卡蒂 chess_char_3_05-skadi.js, 伊内丝
chess_char_4_04-ines.js, 缄默德克萨斯 chess_char_4_16-texas2.js, 耀骑士临光 chess_char_6_17-nearl2.js. The +/- lines
are identical to #109's tier1/2/3/4/6 diffs.
- #109 generic.js against W5D's own-duration passives (一击即退): the deployment window is computed where #109 computes
it, with W5D's case included. Both forms run #109's duration lifecycle (activateOnDeploy, spType 'none', the
skill's own mods), and W5D's 冲锋号令 DP start effect is kept.
- #103 room.js through i18n phase 1: t('{name}邀请你加入卫戍协议：盟约【{difficulty}】') with the translated difficulty
name (the Chinese text is the PR's), plus its English line in public/i18n/en.json.
- data/assets.json: feedback5's manifest plus #72's audio.bgm.combatAlts (after boss, the plan order). files +3 and
bytes +5 037 595 as measured on feedback4; the hash is recomputed with the generator's contentHash. No other data/
file changed.
- docs: DESIGN §5.6 (#109's timed deployment paragraph before feedback5's trigger rules; "Permanent passive skills are
always on"), SIM §7.4 (both generic passive cases).
- Auto-merged and checked: #149 bond-bar fold (still in screens/game.js), #160 skills.js / spine.js, #109 skills.js /
snapshot.js, #66 addon/battle.js (restTile / isDown live in sim/battle/tiles.js), #150 units.js, #72 audio.js /
plan.mjs, #74 plan.mjs / docs.
Where the PRs met feedback5 work:
- 突袭 (W5L, GitHub #49): raidPoll counts a skill that needs no SP while it is on. That is a passive, as before, or a
#109 deploy-timed skill while its window runs. Once the window has ended only the idle trigger is left. Without this
change 缄默德克萨斯 / 宴 lost #49. research 02 §3.18 says so.
- Tests changed to #109's representation: bonds_addon #49 test (kind 'duration', activateOnDeploy) plus a new test
(window over → idle trigger only), and standin.test.js's 预备干员 PASSIVE branch (the skill's mods instead of the
generic:passive buff).
Golden regenerated on the merged code. Attribution: each PR's gameplay change was reverted alone in a scratch copy, and
all three together. With all three reverted the digests equal feedback5's exactly. Every moved scenario was replayed
and fields the unit that explains it.
- #160 only (0.5 s skill events of deploy passives; events.skill only): roster-001/006/025/049, bond-arcaneShip-low,
bond-emptyShip-high, bond-investShip-high, bond-kjeragShip-low, bond-siracusaShip-low/high, bond-victoriaShip-low,
bond-yanShip-high, boss-boss_2/4/6-solo, hidden-boss_8/10-solo, standin-03/05/08/10, diy-005/006 (普罗旺斯 S1,
琳琅诗怀雅 S1/S2, 星熊 S2, 凯瑟琳 S1, Misery S3 as stand-in / 自选 prototype).
- #109 only (deploy-timed skill state and lifecycle; 突袭 技能就绪 limited to the window; generic 一击即退):
roster-003/004/005/021/023/024/039/041/042/046/047, bond-egirShip-high, bond-indomShip-high,
bond-kazimierzShip-low/high, hidden-boss_8-pair, standin-01, coop4-FUNNY-6, coop2-NORMAL-8-serverrun.
- #66 only (灵巧's aura stays only for a killed member, from its body tile): roster-028, coop2-NORMAL-3,
coop3-ABYSS-5, coop4-ABYSS-7, solo-HARD-9-boosted.
- #109 + #160: roster-002, roster-029, bond-investShip-low, bond-raidShip-low/high, bond-suntShip-low,
bond-visiShip-high.
- #66 + #160: roster-008, roster-027.
- #66 + #109: roster-022, roster-040, bond-indomShip-low, boss-boss_2/4/6-pair, hidden-boss_10-pair, standin-06,
coop2-HARD-4, coop2-NORMAL-14-standins.
- all three: roster-010, roster-012, roster-031.
69 scenarios. Every other digest is unchanged.
宴 S2, 斯卡蒂 S2, 野鬃 S1, 砾 S1 / S2, 伊内丝 S3, 缄默德克萨斯 S1–S3 and 耀骑士临光 S2 used a separate timed buff while the skill stayed active; equipment and bond effects that read the skill state now see it end. 伊内丝's first sentry placement starts no skill. Contributed by @Sukvii.
PRTS: 分支特性信息 吟游者 「特性为基于自身攻击力来增加受益者的“生命回复速度”属性」 (魔王, 浊心斯卡蒂); the 备注 of 调香师 熏衣草,
瑕光 S2, 铃兰 S3 and 锡人 S2 「生命恢复的提供方式为增加目标的“生命回复速度”属性…不受治疗加成和禁疗影响」 (铃兰: none in the
first second, refreshed every second); 异常效果 禁疗 「增减生命回复速度…的效果不会被识别为治疗类能力」. These were heals from
the provider, which damage.js refused on 收割者 / 不屈者 / 武者 (noHeal) and under 禁疗 — 隐德来希 gained nothing under 魔王.
This is the separation proposed in PR #135 by @SpiritedAwayCN, written anew (the PR's patch is not used):
- professions.js bardRegen: the trait is an hpRegen buff per bard refreshed every 0.25 s; 魔王's 微尘 ×1.5 goes through
its `bardRegen` hook (both 魔王 kits); 浊心斯卡蒂's pulse and the 海嗣 token use it too.
- 调香师 (every ally), 瑕光 S2 (the skill range, removed at its end), 铃兰 S3 (from the first full second, removed at its
end), 锡人 (per 炼金单元, its cached ATK): hpRegen buffs instead of battle.heal.
- damage.js: a `regen` tick takes no healing multiplier and a heal hook cannot change its amount (no 治疗加成 on any
生命回复速度); 流明's 凡人之愿 and 华法琳's S1 bonus skip a regen tick of their own.
Direct heals are unchanged (still refused / scaled); 魔王 S3's redistribution and 纯烬's HoT are untouched. Other
per-second recoveries without such a note stay heals (引星棘刺, 塞雷娅 S3, 流明 / 纯烬 HoTs; 余 闲云隐市 and 天马之盔 left open).
Golden moved (every one fields 魔王 / 浊心斯卡蒂 / 调香师 / 瑕光 S2 / 铃兰 / 锡人): roster-004, roster-005, roster-006,
roster-011, roster-013, roster-015, roster-016, roster-018, roster-023, roster-025, roster-030, roster-032, roster-035,
roster-037, roster-039, roster-041, roster-042, roster-045, roster-046; bond-deputShip-high, bond-emptyShip-low,
bond-emptyShip-high, bond-indomShip-high, bond-kazimierzShip-low, bond-kazimierzShip-high, bond-sargonShip-low,
bond-sargonShip-high, bond-skillfulShip-high; boss-boss_1-pair, boss-boss_1-solo, boss-boss_2-solo, boss-boss_3-pair,
boss-boss_3-solo, boss-boss_4-solo, boss-boss_5-pair, boss-boss_5-solo, boss-boss_6-solo, boss-boss_7-pair,
boss-boss_7-solo, hidden-boss_8-solo, hidden-boss_9-pair, hidden-boss_9-solo, hidden-boss_10-solo, unite-1;
solo-NORMAL-1, solo-HARD-1, solo-ABYSS-1, coop4-ABYSS-7, coop2-NORMAL-8-serverrun, coop2-NORMAL-14-standins.
Docs: SIM.md (heal pipeline, bard row), PLAYING.md, kits/README.md (checklist item 11).
The kit sets trigger SP_FULL on skchr_agoat2_1, like 浊心斯卡蒂 S2 and 引星棘刺 S1 (data unchanged: an AUTO skill takes
no 技能策略 row, so its trigger stays DEFAULT there). Before, the DEFAULT heal rule kept it off until an ally of her range
lost HP, so its 元素损伤 recovery never ran on a field without HP damage. Docs: DESIGN §5.6's SP_FULL list (AUTO skills
on allies: 引星棘刺 S1, 浊心斯卡蒂 S2, 纯烬艾雅法拉 S1), PLAYING's 自动触发 sentence.
Tests: kits_alt_t6 "6_20 纯烬艾雅法拉 S1 无声润物 (自动触发, effects on her allies only): on as soon as its SP is full …".
Golden: roster-038 (纯烬艾雅法拉 elite with S1) — the snapshot chain from 40 s: the toggle comes on earlier.
Audit of every AUTO time-SP skill with no enemy on the field: 35 never fired. Two need no target and are fixed: 伺夜
S2 领袖的馈赠 — PRTS 备注 「仅场上存在狼群，且狼群未获得此技能的充能时可触发技能」: the kit casts it when ready while the pack
stands and holds no unused gift (it waited for 伺夜's own next attack and could overwrite an unused gift);
浊心斯卡蒂 S2 同葬无光之愿 (鼓舞 on allies + trait heal, a toggle) is SP_FULL like 魔王 S1. The rest correctly wait for a
target (next-attack / next-heal skills, attack modes, enemy-targeted effects) or are left for the owner (赫默 S2 /
巫恋 S2 summon releases, 纯烬艾雅法拉 S1); the list is in the 0.2.0 doc draft.
Golden: roster-039 / roster-040 (伺夜 with S2, normal and elite) moved: S2 now casts whenever the pack holds no gift.
- an operator's radius area damage skips unblocked 隐匿 and untargetable enemies (Battle.foesInRadius;
PRTS 作战机制 AOE伤害判定), the 逐火 embers included
- PRTS 溅射半径一览: 投掷手 0.9, 链术师 1.7, 格雷伊 1.0; 迷迭香 S2 radius 1.5
- 阿罗玛's first-attack mark is shared between 阿罗玛 and leaves with its setter (PRTS 备注)
- 奥术法阵 on the field: 炎佑's damage silences its target (PRTS 盟约记录 备注)
- skills restart from their initial cooldown when a 重生 ends (PRTS 特殊机制)
- 高准度伦蒂尼姆城防自行炮: lock in range, 3x3 area, every 0.5 s up to 10 shots, 失衡/控制免疫 meanwhile
- 琳琅诗怀雅 S3 coins go to range 2-4 in front and the units she blocks
- 阿戈尔 devour is a 物理流失 reduced by the target's DEF
- #1#2 skill / device summons (赫默's drone, 巫恋's doll, 凯瑟琳's devices) are hand cards placed by the player;
placed summons deploy once at battle start, then a skill summon re-appears at its tile on each cast (the user's call)
- #3 叙拉古 隐匿 ends on time (32 + 0.4 × layers s); 忍冬 S3 迷彩 lasts until her next cast (official), kept apart from 隐匿
- #4 multi-round bounty cards last two battles (the user's call; MULTI_ROUND_BOUNTY_BATTLES), blue / red card text
- #5 the shared boss pool's float dust (≈3.6e-12 HP) stalled Final Assault leaders at 0 %; < 1 HP now clears the pool,
and the team LP reaching 0 first is a defeat (PRTS)
- #6#10 机变 cards show their official effect text; an invisible 详情 button no longer swallows the confirming tap on phones
- #7 live ×N counter of a leaker's enemies still on the 联防 field (LP loss stays capped at 10)
- #8#15#16 skill triggers per 技能策略: skill-range triggers, injured-ally heals (古米, 塞雷娅), tank take-damage
triggers with a 3 s cooldown; 新约能天使 S2 shields the highest-aggro operator in range
- #9 official per-enemy model scales (威龙)
- #11 element bar under the unit's HP bar (white = 元素值 left, element-coloured refill after a burst), floor rounding
- #12 枯朽战车 kit per PRTS; every ranged enemy reaches its target's 0.25 collider
- #13 恐惧 wander (萨科塔之翼 at half HP, operator fears make enemies flee) with re-planning after pushes
- #14 push / pull distance by 力度 − 重量 (PRTS table); #17 every blocker attacks what it blocks; ASPD floor 20
- #18 炎佑 is 孤立: no heals or ally buffs
- #19 every free pick-one chess offer (promotion reward, 信标, 寻呼模块) shows different operators
- DESIGN §20 and the normative lines, SIM / META / DATA / PLAYING updated; 2747 unit tests and all 27 browser suites
green; dev recordings regenerated
sganggs