feedback7 R22-UNBAL: a pushed / pulled enemy is held in the official 失衡 (UNBALANCE) state — no walking, no normal attack — for the push's 位移时间 of its 受力等级 or the pull's force window; a 静态刚体 hit by a force gets the 0.1 s floor; the client's slide takes the same game time (idea from PR #392 by @xcdoge, re-implemented from the sources); golden: 69 scenarios move, 35 with kills / leaks / deaths / boss HP (below)

Seen: the sim moved a displaced enemy at once and it walked / swung again on the next tick; players compared with the
official game (PR #392: 「被推/拉完的敌人会先站住一小会儿再走」). Research (scratchpad report r3): PRTS 失衡位移机制 — a force > 0
puts an enemy in the UNBALANCE state machine with a 0.1 s 失衡硬直 floor, ending when its speed is ≤ 0.1 m/s, on 浮空 or a
forced state change; 异常效果图鉴/失衡免疫 「失衡期间无法自主移动、发动攻击、使用技能」; 异常效果 — not an abnormal status (水遁忍者's
check still runs); 游戏数据基础 推力-位移近似对应表 位移时间 (whole frames at 30 fps); 推与拉 拉力 「作用时间默认为 1 s；若本次受力
等级 < −1，作用时间改为 0.5 s」, 急停 keeps the state to the window's end; 特殊机制 静态刚体 (0.1 s 保底); 术语释义 浮空.

Now: constants.js PUSH_UNBALANCE {−2: 0.2, −1: 0.4, 0: 0.8, 1: 0.9, 2: 32/30, 3: 35/30}, PULL_UNBALANCE 1 /
PULL_UNBALANCE_WEAK 0.5, UNBALANCE_MIN 0.1. battle/displacement.js: push() holds for its level's row (the −2 correction
included), kept when the 特效 column or a wall shortens the slide [ASSUMED for the wall], the 0.1 s floor when a wall
stops it at the first step [ASSUMED]; pull() holds for its window whatever the travel (≤ −3: none; an enemy the puller
blocks: still no pull [ASSUMED, unchanged]); a 静态刚体 (data staticBody, not 失衡免疫 noDisplace) hit by force level
≥ −2 gets 0.1 s and no movement (_staticForce); _unbalance sets enemy.unbalanceUntil (a longer running one kept) and ends
the attack clip's stand. ai.js updateEnemy: no walking (恐惧 / 诱导 too — PR #392's fear exemption is not taken), no new
normal attack, a swing short of its frame cut, 浮空 clears it; a 重生 clears it (archetypes.js reborn). Not a stun: no
status, no immunity, SP and the attack cooldown run. No global skill lock: enemy abilities keep ticking ([ASSUMED] scope).
The move stays instant (the unbalanced() talents keyed off the jump unchanged). The displace fx carries `dur` (game s);
render/units.js slideTo divides it by ctx.animRate (2× default: a 0.8 s push slides 0.4 real s); DISPLACE_SLIDE·√D is
only the fallback for an fx without it. Not taken from #392: UNBALANCE_TRAVEL 0.6387·√tiles / the client's 0.3194 (derived
from the page's μ = 0.5 单位假设, one frame high on every push row, the wrong shape for pulls) and the fear exemption.

Tests: test/sim/unbalance.test.js (8: the push rows and walking after them; no attack in the hold, a feared enemy held;
the −2 correction's 0.2 s; 特效 / wall-shortened rows and the first-step floor; pull windows incl. the 急停 and ≤ −3; 静态刚体
0.1 s without movement, 失衡免疫 never; 浮空 clears; the fx `dur` — the file fails on the parent); test/render/unitview.test.js
(+1: the slide at 2× for a push and a pull, the fallback — fails on the parent); feedback1b-displacement B5 (the drone is
now held 0.1 s per force, never moved). test/sim + test/content + test/render: 3433 pass. Docs: SIM.md (push / pull,
displace, assumptions), PLAYING.md 推开 / 拉拽, research 13 §0 / §5.

Golden — every moved battle has pushes / pulls (probe of the callers) and its enemies are now held; outcome moves:
roster-002 (野鬃: killed 29→33, leaks 15→11), roster-003 (野鬃: deaths 3→7), roster-007 (薄绿: killed 110→118, leaks 53→47),
roster-008 (薄绿: 45→47 / 42→40), roster-010 (歌蕾蒂娅: killed 45→44, leaks 57→58), roster-011 (莫斯提马: 78→79 / 4→3),
roster-031 (钩索师 pulls, tier4: killed 64→72, leaks 12→4, deaths 6→5), roster-041 (钩索师: deaths 5→4), roster-043 (山:
deaths 15→14), roster-044 (山: killed 107→103, leaks 12→16, deaths 15→14); bond-deputShip-low (薄绿: 18→21 killed, leaks
3→0, deaths 1→0), bond-kazimierzShip-high (野鬃: deaths 3→2); boss-boss_3-pair (锏: p2 deaths 3→2), boss-boss_4-pair
(莫斯提马 / 歌蕾蒂娅: killed 11→12, boss HP 7442429→7375628, p2 leaks 2→1, deaths 19→18), boss-boss_6-pair (boss HP
6932482→6865243, p2 deaths 19→17), hidden-boss_8-pair (boss HP 12585770→12585798), hidden-boss_9-pair (锏: boss HP
3630612→3636991); standin-05 / 08 / 10 (预备干员-特种 pulls: killed 5→8 / 42→44 / 28→29, leaks down by 3 / 2 / 1);
diy-101 (傀影: killed 22→21, leaks 92→93), diy-114 / 115 / 116 (黑键: 106→99 & 83→90 / 154→156 & 78→70 / 3→2 & 120→121),
diy-137 (预备干员-特种: 68→79 / 79→68); matches through those battles — coop2-HARD-4, coop2-NORMAL-14-standins,
coop2-NORMAL-3, coop2-NORMAL-70-diy, coop3-ABYSS-5, coop4-ABYSS-7, solo-ABYSS-2 (LP 2→4 at round 10), solo-HARD-2
(ai_0 now survives round 13: eliminated 13 → alive), solo-HARD-9-boosted (LP 399→398), solo-NORMAL-1. Other moves (damage,
heals, snapshots only): roster-009/012/017/019/032/039/040/042/046, 13 bonds, boss-boss_2-pair, hidden-boss_10-pair,
standin-03, diy-053/084/085/102/103/108/109, coop2-ABYSS-10-boosted, solo-ABYSS-1.

docs/SIM.md

@@ -896,8 +896,8 @@ instance) and skip `'counter'` / `'reflect'` damage. When the guard trips, the l
 | `moveRedeploy(unit, r, c, { clearSp })` | a 【移动】 (PRTS 术语释义: "不退场，以当前血量在目标位置部署", a special retreat + redeploy): `relocate`'s checks (false = refused, nothing changed), then a new deployment (`deploySeq` / `aggroSeq` / `deployedAt`) and `deploy {initial:false, move:true}` (deploy effects fire again); no `die` / `death`, timer or cost (不屈 / 阿戈尔's revive never see it); HP, buffs and a running skill are kept (owner's deviation, DESIGN §22.3); `clearSp` empties the SP before the deploy handlers run — 乌尔比安 S3's move (kits/ops/chess_char_5_05-ulpia.js) and 【返回】 (`clearSp`; also the 从不混淆的方向 fallback, content/tokens.js) |
 | `redeploy(unit, { free=true, tile, keepSp })` | immediate (re)deployment of a dead/retreated ally (full HP, `deploy {initial:false}`); `free: false` pays `base.cost` DP (refused without it); without `tile` it lands on the unit's rest tile (`restTile`: where a knocked-out operator lies, else home); `tile: [r, c]` lands on that tile once (home unchanged; refused when off-rect, occupied or a knocked-out operator's tile, no fallback); `keepSp` keeps SP/charges (保留技力), restored before `deploy` fires — but not for a skill that costs no SP, which the reset re-arms as at every deployment (伊内丝 S3 casts again on a 突袭 landing) — 突袭 raids, 阿戈尔 / 不屈 revives where the unit lies |
 | `refreshRange(unit)`, `setExtraRange(unit, keys)`, `rangeChanged(unit)` | rebuild the ranges after changing `unit.rangeGrid` (流形 copies); extra targetable tiles (absolute keys; merged into every later rebuild until set again; `null` clears; never in `baseRangeKeys`): 蕾缪安 wanted, 维娜 S3 |
-| `push(enemy, force, {from, dir, fixed, fixedAngle, inward, effect})`, `pull(enemy, force, {to, center, stop})`, `pullToFront(enemy, unit, force)`, `forceLevel(enemy, force)`, `pushDistance(enemy, force, {effect})` | the official 位移 (PRTS 游戏数据基础 §重量公式 / 推与拉; user playtest #6 item 14): 受力等级 = 力度 (微小力 −1, 小力 0, 中力 1, 较大力 2, 大力 3 …) − current 重量等级 (massLevel, 失重 counts). Push distance per level (`constants.js PUSH_TILES`, PRTS 推与拉's 弹道 column): ≤ −3 → 0, −2 → 0.12, −1 → 0.44, 0 → 1.7, 1 → 2.14, 2 → 2.96, ≥ 3 → 3.53 tiles; `effect` = a 特效 push (`PUSH_TILES_EFFECT`: −2 → 0.085, −1 → 0.374, 0 → 1.562, 1 → 1.987, 2 → 2.773, ≥ 3 → 3.331 — 见行者 S1 / S2, `PUSH_EFFECT_SKILLS`; every other pusher uses the 弹道 column [ASSUMED]); radial (away from `from`; the client's buff template `knockback[relative]`: 莫斯提马 S3, 山 S3, 琳琅诗怀雅 S3 — also PRTS 备注 "推开效果为径向推动") unless `dir` (directional; template `knockback[dir]` = Knockback {`_useSourceDirection` true, `_decreaseForceLevelWhenNotInDirection` 2}: 推击手, 野鬃 S2 "往攻击方向" (charpack char_496_wildmn: buff `wildmn_s_2[force]`) — > 45° off or < 0.25 tile ⇒ radial and level −2; `fixed` waives both (圣聆初雪 S1 朝部署方向, `KnockBackWithCharacterDirection`), `fixedAngle` only the angle (见行者 S2)); `inward` = a push towards `from` (薄绿 S2), stopping at the 急停 radius. Pull: level ≥ 0 → to `to` / the 急停 radius around `center`, −1 → 35 % of the way, −2 → 0.03, ≤ −3 → 0; `pullToFront` aims at the 拉力起点 0.5 tile ahead of the unit with the 急停 radius 0.6708 around it (never moves an enemy the unit itself blocks — nor does a pull towards an ally's centre, e.g. the 流形 S3 pulse) A 静态刚体 (data `staticBody`: every air unit of the mode except “炎佑”, plus 昆图斯 — PRTS 特殊机制 "可以进入失衡状态…但物理层面上无法产生任何速度或移动", "与单位的行动方式无关") moves 0 from every source while the skills that reach it still hit it (薄绿 S2, 锏 S3, the 钩索师 …; player report after 0.1.0) |
-| `displace(enemy, {x, y}, tiles)` | the raw mover behind push / pull: along passable tiles (by `motion`: FLY in the rect, else ground-passable), no weight rule; nothing for 失衡免疫 (`noDisplace`: 近地悬浮 incl. 喷气人's 飞行模式, 浮空, the 胄 parts, 守墓石像's statue and flight), 静态刚体 (`def.staticBody`) and leaders (`_displaceable`); unblocks + re-paths |
+| `push(enemy, force, {from, dir, fixed, fixedAngle, inward, effect})`, `pull(enemy, force, {to, center, stop})`, `pullToFront(enemy, unit, force)`, `forceLevel(enemy, force)`, `pushDistance(enemy, force, {effect})` | the official 位移 (PRTS 游戏数据基础 §重量公式 / 推与拉; user playtest #6 item 14): 受力等级 = 力度 (微小力 −1, 小力 0, 中力 1, 较大力 2, 大力 3 …) − current 重量等级 (massLevel, 失重 counts). Push distance per level (`constants.js PUSH_TILES`, PRTS 推与拉's 弹道 column): ≤ −3 → 0, −2 → 0.12, −1 → 0.44, 0 → 1.7, 1 → 2.14, 2 → 2.96, ≥ 3 → 3.53 tiles; `effect` = a 特效 push (`PUSH_TILES_EFFECT`: −2 → 0.085, −1 → 0.374, 0 → 1.562, 1 → 1.987, 2 → 2.773, ≥ 3 → 3.331 — 见行者 S1 / S2, `PUSH_EFFECT_SKILLS`; every other pusher uses the 弹道 column [ASSUMED]); radial (away from `from`; the client's buff template `knockback[relative]`: 莫斯提马 S3, 山 S3, 琳琅诗怀雅 S3 — also PRTS 备注 "推开效果为径向推动") unless `dir` (directional; template `knockback[dir]` = Knockback {`_useSourceDirection` true, `_decreaseForceLevelWhenNotInDirection` 2}: 推击手, 野鬃 S2 "往攻击方向" (charpack char_496_wildmn: buff `wildmn_s_2[force]`) — > 45° off or < 0.25 tile ⇒ radial and level −2; `fixed` waives both (圣聆初雪 S1 朝部署方向, `KnockBackWithCharacterDirection`), `fixedAngle` only the angle (见行者 S2)); `inward` = a push towards `from` (薄绿 S2), stopping at the 急停 radius. Pull: level ≥ 0 → to `to` / the 急停 radius around `center`, −1 → 35 % of the way, −2 → 0.03, ≤ −3 → 0; `pullToFront` aims at the 拉力起点 0.5 tile ahead of the unit with the 急停 radius 0.6708 around it (never moves an enemy the unit itself blocks — nor does a pull towards an ally's centre, e.g. the 流形 S3 pulse) A 静态刚体 (data `staticBody`: every air unit of the mode except “炎佑”, plus 昆图斯 — PRTS 特殊机制 "可以进入失衡状态…但物理层面上无法产生任何速度或移动", "与单位的行动方式无关") moves 0 from every source while the skills that reach it still hit it (薄绿 S2, 锏 S3, the 钩索师 …; player report after 0.1.0). **失衡 (UNBALANCE)** (PR #392's idea, its timing re-done from the sources): the move stays instant, then the enemy is held in the 失衡 state — a state machine, not a status (PRTS 失衡位移机制; 异常效果 「失衡…不属于异常效果」: no stun, no immunity, SP untouched), `enemy.unbalanceUntil`, read by `ai.js updateEnemy`: no walking (恐惧 / 诱导 included — no fear exemption) and no normal attack started, a swing short of its frame cut, the attack clip's stand ended; checks that ignore the state (水遁忍者's damage, content abilities) go on — no global skill lock ([ASSUMED] scope: 失衡免疫's 「无法…使用技能」 is not modelled). Length, game seconds: a push — the 位移时间 of its 受力等级, PRTS 游戏数据基础 推力-位移近似对应表 (`constants.js PUSH_UNBALANCE`: −2 → 0.2, −1 → 0.4, 0 → 0.8, 1 → 0.9, 2 → 32/30, ≥ 3 → 35/30), the level push() computes (the −2 correction included), kept when the 特效 column or a wall shortens the slide ([ASSUMED] for the wall; a wall at the first step → the 0.1 s floor [ASSUMED]); a pull — its force window, 推与拉 「作用时间默认为 1 s；若本次受力等级 < −1，作用时间改为 0.5 s」 (`PULL_UNBALANCE` / `_WEAK`), to its end after the 急停 too (「目标将仍保持失衡状态至拉力作用时间结束为止」), none at ≤ −3; a 静态刚体 hit by a force > 0 — the 0.1 s 失衡硬直 floor (`UNBALANCE_MIN`, 特殊机制 静态刚体), no movement; 失衡免疫 and leaders never. 浮空 ends it (术语释义 浮空), so does a 重生. The `displace` fx carries the length (`dur`): the client's slide takes as long (render/units.js slideTo). PR #392's 0.6387·√tiles (from the page's μ = 0.5 单位假设) and its fear exemption are not taken |
+| `displace(enemy, {x, y}, tiles, {dur})` | the raw mover behind push / pull: along passable tiles (by `motion`: FLY in the rect, else ground-passable), no weight rule, no 失衡 state of its own (push / pull add it; `dur` only rides on its `displace` fx); nothing for 失衡免疫 (`noDisplace`: 近地悬浮 incl. 喷气人's 飞行模式, 浮空, the 胄 parts, 守墓石像's statue and flight), 静态刚体 (`def.staticBody`) and leaders (`_displaceable`); unblocks + re-paths |
 | `after(seconds, fn, {owner})`, `every(seconds, fn, {owner, immediate})` | return `{cancel()}`; fn(battle, sched) |
 | `fx(kind, params)`, `rng()` (+ `rng.int/range/chance/pick/shuffle/weighted`) | never use Math.random; for distances, angles and powers use `hypot`, `sin`, `cos`, `atan2`, `powi` from `server/sim/detmath.js`, never `Math.hypot` / `sin` / `cos` / `atan2` / `pow` / `**` (their last bits differ between browsers) |
 | `forceAttack(unit, targets?, { noAmmo })` | an immediate attack with the current profile (hooks, attack SP, a running ammo skill's bullet); `noAmmo: true` = spends no bullet and emits no `ammoUsed` (圣约送葬人 extra attack). Returns true when it attacked |
@@ -1503,8 +1503,8 @@ id, `loadout` the selection with `diy` = the checked pick `{ charId, skillIndex,
 `diy` (spec.js keeps `charId` / `skillIndex` / `uniEquipId` when well-formed); Battle fields a DIY slot only with a legal
 pick (none ⇒ no unit), and each unit resolves its own pick — two players filling one slot id differently are exact.
 Assumptions taken here (documented choices): element burst numbers for necrosis/apoptosis; unspawned enemies at timeout
-are dropped (not leaks); geek drain is non-lethal; tactician reinforcement stats; displacement is instantaneous (the official 失衡 slide over ≈ 0.4–1.2 s is not
-modelled — only its distance, `push` / `pull`); pushes PRTS does not classify use the 弹道 distance column (`PUSH_TILES`);
+are dropped (not leaks); geek drain is non-lethal; tactician reinforcement stats; displacement is instantaneous, followed by the 失衡 hold (push: the 位移时间 table; pull: the force
+window — `push` / `pull`; a wall-shortened slide keeps its row time, a wall at the first step gets the 0.1 s floor); pushes PRTS does not classify use the 弹道 distance column (`PUSH_TILES`);
 platforms/mounds are ground obstacles that elevate operators; the generic kit maps 凋亡 to `apoptosis` (侵蚀 has no element key
 yet — enemy content must pick one); 抵抗 covers the control statuses of `RESIST_STATUSES` (the official term lists 晕眩/寒冷/
 冻结/恐惧/诱导…, the rest follow the operator kits that grant it) and caps at 0.95; tactical points prefer enemy path tiles.