feedback7 R22-UNBAL: 失衡 review fixes — a pulled 静态刚体 is held for the pull's window, 弧光锋卫 bleeds 400 every 0.066 s while the state lasts, no enemy skill / blink / scripted move during it, a route APPEAR or a 逐火 重生 ends it, every push row holds its exact frames; golden: 32 move, 8 in outcomes (below)

Branch review of fb7-unbalance (MERGE AFTER FIXES):
1. A 静态刚体 pulled got the 0.1 s floor: _staticForce now knows push from pull — a push's force is instant (推与拉), so
   0.1 s; a pull's lasts its window (pullUnbalance: 1 s, 0.5 s below −1) — PRTS 特殊机制 静态刚体 「在失去施力后立刻」 out,
   「0.1 秒保底」. pull() checks the puller's own block before the static case.
2. 弧光锋卫 (PRTS 天赋 「处于失衡状态时,每0.066s受到400点无来源真实持续伤害」, data unbalanced_bleed): a tick bleed of 400 every
   0.066 s while unbalancedNow holds; the per-tile one-shot from the position jump ([ASSUMED], UNBALANCE_SPEED) is gone.
   A 受力等级 0 push (0.8 s) → 12 hits = 4800 (was 2037), a 急停 pull with no movement (1 s) → 15 = 6000 (was 0), a
   wall-shortened slide keeps the 0.8 s row → 4800.
3. 失衡免疫 「失衡期间无法自主移动、发动攻击、使用技能」: enemies/helpers.js unbalancedNow; canCast(e, sil, battle) refuses while it
   runs (content skills; the boss parts' calls pass the battle), blinkForward returns null, 枯朽之种's dive / blast and the
   铳 / 碎铳之簧 charges wait, 乌顶巨角卢鲁's clash waits for its end. A route APPEAR relocation clears it (a forced state
   switch, 失衡位移机制). Left running on purpose (docs/SIM.md): 水遁忍者's damage check (异常效果 「仍然能正常造成伤害」), passive
   auras and terrain / periodic effects, death / damage-taken triggers, skill cooldowns, 弧光锋卫's bleed itself.
4. husk() (逐火 余烬 重生) clears the state like reborn().
5. The 35/30 row held 36 frames (t0 + 35/30 overshoots in floats): every check compares with 1e-9; the frames are asserted.

Tests: test/sim/unbalance.test.js +6 (exact frames 6 / 12 / 24 / 27 / 32 / 35 with the walk on the next frame; static pull
1 s / 0.5 s, push 0.1 s; 弧光锋卫 4800 / 6000 / 4800; canCast / blinkForward refused, 枯朽之种 held then diving; the elk's clash
after the state; APPEAR and a 逐火 重生 clear it — all six fail on the parent); enemies_bosses (失衡 kit test) and
feedback1d-solvent (BUFF damage) updated to the state bleed. test/sim + test/content + test/render pass. Docs: SIM.md
(push / pull row), PLAYING.md, design/engine.md (helpers, enemy AI), constants / displacement comments.

Golden against the previous commit — outcome moves: roster-010 (歌蕾蒂娅 pulls 妖怪 drones, now held 1 s: killed 44→45,
leaks 58→57), roster-040 (static pulls of 妖怪: killed 28→25, leaks 37→40, deaths 29→30), roster-043 / 044 (山: deaths 14→16 /
14→13), hidden-boss_9-pair (锏: boss HP 3636991→3586929), coop4-ABYSS-7 (ai_2 LP +1 from round 5), diy-115 (黑键: leaks
70→75), diy-116 (黑键: killed 2→3, leaks 121→120) — the static pulls (probe) and the 1e-9 end (a frame shorter where the float
sum overshot: the 35/30 row, some pull windows); other moves (damage / snapshots only): roster-008 / 017 / 039, 9 bonds,
boss-boss_4-pair / boss_6-pair / hidden-boss_10-pair, coop2-NORMAL-14-standins / coop2-NORMAL-3 / solo-ABYSS-1 /
solo-HARD-1 / solo-HARD-9-boosted / solo-NORMAL-1, diy-053 / 085 / 102.
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@@ -896,7 +896,7 @@ 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). **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 |
| `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; and no skill (失衡免疫 「失衡期间无法自主移动、发动攻击、使用技能」): content skills wait (`enemies/helpers.js canCast(e, sil, battle)`, `unbalancedNow`), so do blinks (`blinkForward`) and scripted moves (枯朽之种's dive, the 碎铳之簧 / 铳 charges), and 乌顶巨角卢鲁's clash waits for its end. Left running on purpose: checks the state does not stop (异常效果: 水遁忍者's damage — 「仍然能正常造成伤害」), passive auras and terrain / periodic effects (no skills), death / damage-taken triggers, skill cooldowns (only the cast waits) — and 弧光锋卫's bleed, which is the state's own (天赋 「处于失衡状态时,每0.066s受到400点无来源真实持续伤害」: every 0.066 s for as long as it lasts — until 0.2.2 one hit per tile moved [ASSUMED]). 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 — no movement, the state while the force acts (特殊机制 静态刚体: 「在失去施力后立刻」 out, 「0.1 秒保底」): a push 0.1 s (`UNBALANCE_MIN`; a push's force is instant), a pull its window; 失衡免疫 and leaders never. 浮空 ends it (术语释义 浮空), so do a 重生 (重生 / 逐火's 余烬) and a route APPEAR relocation — forced state switches (失衡位移机制). The end compares with 1e-9 so a float-summed 35/30 s keeps its 35 frames. 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 iLine truncated
| `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) |