feat(skills): implement Frozen Orb with 1.13c parity and visual assets

public/missiles/frozenorb.json

@@ -0,0 +1,141 @@
+{
+  "name": "frozenorb",
+  "celFile": "IceOrb",
+  "width": 512,
+  "height": 107,
+  "directions": 1,
+  "framesPerDirection": 16,
+  "animSpeed": 16,
+  "groups": [
+    [
+      [
+        0,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        55,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        110,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        165,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        220,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        275,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        330,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        385,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        440,
+        0,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        0,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        55,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        110,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        165,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        220,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        275,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ],
+      [
+        330,
+        54,
+        54,
+        53,
+        -27,
+        -71
+      ]
+    ]
+  ]
+}

public/missiles/frozenorbexplode.json

@@ -0,0 +1,157 @@
+{
+  "name": "frozenorbexplode",
+  "celFile": "IceOrbExplode",
+  "width": 1024,
+  "height": 959,
+  "directions": 1,
+  "framesPerDirection": 18,
+  "animSpeed": 16,
+  "groups": [
+    [
+      [
+        0,
+        0,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        231,
+        0,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        462,
+        0,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        693,
+        0,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        0,
+        192,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        231,
+        192,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        462,
+        192,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        693,
+        192,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        0,
+        384,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        231,
+        384,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        462,
+        384,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        693,
+        384,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        0,
+        576,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        231,
+        576,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        462,
+        576,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        693,
+        576,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        0,
+        768,
+        230,
+        191,
+        -111,
+        -113
+      ],
+      [
+        231,
+        768,
+        230,
+        191,
+        -111,
+        -113
+      ]
+    ]
+  ]
+}

scripts/pack-missiles.ts

@@ -67,6 +67,8 @@ const MISSILE_TARGETS = [
   { name: 'glacialspike', celFile: 'GlacialSpike', animSpeed: 16 },
   { name: 'iceexplode', celFile: 'IceArrowExplode', animSpeed: 16 },
   { name: 'freezeexplode', celFile: 'FreezeExplodeCenter', animSpeed: 16 },
+  { name: 'frozenorb', celFile: 'IceOrb', animSpeed: 16 },
+  { name: 'frozenorbexplode', celFile: 'IceOrbExplode', animSpeed: 16 },
 
   // Lightning
   { name: 'chargedbolt', celFile: 'ChargedBolt', animSpeed: 16 },

src/game/engine/missile-engine.ts

@@ -17,6 +17,27 @@
 import type { D2DataRegistry, MissileRecord } from './data-registry.ts'
 import { executeSUnitDmg, type CombatUnitContext, type SUnitDmgPacket } from './combat-pipeline.ts'
 
+export const ISO_GROUND_ASPECT_RATIO = 0.5
+
+/**
+ * Authentic D2Game 64-entry discrete circle lookup tables (radius 30).
+ * Replicated byte-for-byte from D2Game.dll 0x6FC581F0 (MISSMODE_SrvDo15_FrozenOrb)
+ * and 0x6FC5CE10 (MISSMODE_SrvHit29_FrozenOrb).
+ */
+export const FROZEN_ORB_X_POSITIONS: readonly number[] = Object.freeze([
+  30, 29, 29, 28, 27, 26, 24, 23, 21, 19, 16, 14, 11, 8, 5, 2,
+  0, -2, -5, -8, -11, -14, -16, -19, -21, -23, -24, -26, -27, -28, -29, -29,
+  -30, -29, -29, -28, -27, -26, -24, -23, -21, -19, -16, -14, -11, -8, -5, -2,
+  0, 2, 5, 8, 11, 14, 16, 19, 21, 23, 24, 26, 27, 28, 29, 29,
+])
+
+export const FROZEN_ORB_Y_POSITIONS: readonly number[] = Object.freeze([
+  0, 2, 5, 8, 11, 14, 16, 19, 21, 23, 24, 26, 27, 28, 29, 29,
+  30, 29, 29, 28, 27, 26, 24, 23, 21, 19, 16, 14, 11, 8, 5, 2,
+  0, -2, -5, -8, -11, -14, -16, -19, -21, -23, -24, -26, -27, -28, -29, -29,
+  -30, -29, -29, -28, -27, -26, -24, -23, -21, -19, -16, -14, -11, -8, -5, -2,
+])
+
 export interface ActiveMissile {
   readonly uid: string
   readonly missileId: number
@@ -42,6 +63,8 @@ export interface ActiveMissile {
   readonly dmgPacket: SUnitDmgPacket
   chainRemaining: number
   expired: boolean
+  subMissileIdx?: number
+  currentHitFrame?: number
 }
 
 export interface MissileStepResult {
@@ -273,22 +296,49 @@ export class MissileEngine {
       if (m.expired) continue
       m.ageTicks += 1
 
-      // `pSrvDoFunc = 15` (`frozenorb`): emits radial `icebolt` sub-missiles while flying
+      // `pSrvDoFunc = 15` (`frozenorb`): emits radial `frozenorbbolt` sub-missiles while flying
-      if (m.record.pSrvDoFunc === 15 && m.ageTicks % 3 === 0) {
+      // Authentic D2Game.0x6FC581F0 (MISSMODE_SrvDo15_FrozenOrb):
-        const subName = m.record.subMissile1 || 'icebolt'
+      // - 64-entry discrete circle lookup table (radius 30)
-        const subAngle = m.angleRad + m.ageTicks * 0.8
+      // - Trigger frequency: dwParam[0] (1 frame)
-        this.spawnMissile({
+      // - Angular step: dwParam[1] (19 directions per step, coprime with 64)
-          missileNameOrId: subName,
+      // - Foreshortened by ISO_GROUND_ASPECT_RATIO = 0.5 in 2:1 isometric ground perspective
-          sourceSkillId: m.sourceSkillId,
+      if (m.record.pSrvDoFunc === 15) {
-          slvl: m.slvl,
+        const nFrames = Math.max(1, m.record.param1 || 1)
-          owner: m.owner,
+        if (m.ageTicks % nFrames === 0 || (m.maxRangeTicks - m.ageTicks) % nFrames <= 0) {
-          startX: m.x,
+          const subName = m.record.subMissile1 || 'frozenorbbolt'
-          startY: m.y,
+          const idx = Math.abs((m.subMissileIdx ?? 0) % 64)
-          targetX: m.x + Math.cos(subAngle) * 100,
+          const offX = FROZEN_ORB_X_POSITIONS[idx]!
-          targetY: m.y + Math.sin(subAngle) * (100 * 0.5),
+          const offY = FROZEN_ORB_Y_POSITIONS[idx]! * ISO_GROUND_ASPECT_RATIO
-          dmgPacket: m.dmgPacket,
+          this.spawnMissile({
-        })
+            missileNameOrId: subName,
-        subMissilesSpawned.push(subName)
+            sourceSkillId: m.sourceSkillId,
+            slvl: m.slvl,
+            owner: m.owner,
+            startX: m.x,
+            startY: m.y,
+            targetX: m.x + offX * 10,
+            targetY: m.y + offY * 10,
+            dmgPacket: m.dmgPacket,
+          })
+          subMissilesSpawned.push(subName)
+          const step = m.record.param2 || 19
+          m.subMissileIdx = (idx + step) % 64
+        }
+      }
+
+      // `pSrvDoFunc = 16` (`frozenorbnova`): authentic D2Game.0x6FC58340
+      // In the final frames before expiry (dwParam[0] = 6), every dwParam[1] = 2 frames,
+      // apply affine rotation & damping curl: x' = (x - y) / 2, y' = (x + y) / 2
+      if (m.record.pSrvDoFunc === 16) {
+        const remaining = m.maxRangeTicks - m.ageTicks
+        const threshold = m.record.param1 || 6
+        const nParam = Math.max(1, m.record.param2 || 2)
+        if (remaining < threshold && remaining % nParam === 0) {
+          const diff = m.vx - m.vy
+          const sum = m.vx + m.vy
+          m.vx = diff / 2
+          m.vy = sum / 2
+        }
       }
 
       // Spiral flight for Blessed Hammer (`blessedhammer`, `skillId = 112`)
@@ -317,6 +367,12 @@ export class MissileEngine {
           continue
         }
 
+        // Main Frozen Orb (pSrvDoFunc === 15) does not deal direct contact damage;
+        // all its damage is delivered through emitted child bolts (frozenorbbolt, frozenorbnova).
+        if (m.record.pSrvDoFunc === 15) {
+          continue
+        }
+
         const pos = targetPositions.get(target.id) ?? { x: 0, y: 120 }
         const dist = Math.hypot(pos.x - m.x, pos.y - m.y)
         if (dist <= hitRadius) {
@@ -436,10 +492,17 @@ export class MissileEngine {
 
       if (m.ageTicks >= m.maxRangeTicks) {
         // `pSrvHitFunc = 29` (`Frozen Orb` expiration burst)
-        if (m.record.pSrvHitFunc === 29) {
+        // Authentic D2Game.0x6FC5CE10 (MISSMODE_SrvHit29_FrozenOrb):
-          const subName = m.record.hitSubMissile1 || 'icebolt'
+        // - Triggers only on first frame of hit (currentHitFrame === 0)
-          for (let i = 0; i < 8; i += 1) {
+        // - Loop with step sHitPar1 = 4 over 64 directions -> exactly 16 frozenorbnova missiles!
-            const ang = (i * Math.PI) / 4
+        // - Foreshortened by ISO_GROUND_ASPECT_RATIO = 0.5 in 2:1 isometric ground perspective
+        if (m.record.pSrvHitFunc === 29 && (!m.currentHitFrame || m.currentHitFrame === 0)) {
+          m.currentHitFrame = 1
+          const subName = m.record.hitSubMissile1 || 'frozenorbnova'
+          const step = Math.max(1, m.record.sHitPar1 || 4)
+          for (let i = 0; i < 64; i += step) {
+            const offX = FROZEN_ORB_X_POSITIONS[i]!
+            const offY = FROZEN_ORB_Y_POSITIONS[i]! * ISO_GROUND_ASPECT_RATIO
             this.spawnMissile({
               missileNameOrId: subName,
               sourceSkillId: m.sourceSkillId,
@@ -447,12 +510,25 @@ export class MissileEngine {
               owner: m.owner,
               startX: m.x,
               startY: m.y,
-              targetX: m.x + Math.cos(ang) * 100,
+              targetX: m.x + offX * 10,
-              targetY: m.y + Math.sin(ang) * 100,
+              targetY: m.y + offY * 10,
               dmgPacket: m.dmgPacket,
             })
+            subMissilesSpawned.push(subName)
           }
-          subMissilesSpawned.push(subName)
+          const explosionName = m.record.explosionMissile || 'frozenorbexplode'
+          this.spawnMissile({
+            missileNameOrId: explosionName,
+            sourceSkillId: m.sourceSkillId,
+            slvl: m.slvl,
+            owner: m.owner,
+            startX: m.x,
+            startY: m.y,
+            targetX: m.x,
+            targetY: m.y,
+            dmgPacket: m.dmgPacket,
+          })
+          subMissilesSpawned.push(explosionName)
         }
         m.expired = true
       }

src/game/skills.ts

@@ -25,6 +25,7 @@ import type { D2Table } from './acts.ts'
 import type { Rng } from './rng.ts'
 import type { CharacterClassCode } from './classes.ts'
 import type { CombatPlayer } from './combat.ts'
+import { FROZEN_ORB_X_POSITIONS, FROZEN_ORB_Y_POSITIONS } from './engine/missile-engine.ts'
 
 /** One castable skill, read from a table row. */
 export interface SkillDef {
@@ -97,6 +98,10 @@ export interface Projectile {
   readonly jitter?: boolean | undefined
   /** Target restriction: only hits undead monsters. */
   readonly isUndeadOnly?: boolean | undefined
+  /** Sub-missile emission index along the 64-point discrete circle table (e.g. Frozen Orb). */
+  readonly subMissileIdx?: number | undefined
+  /** Affine curl damping trajectory in last 6 frames (e.g. Frozen Orb Nova). */
+  readonly isNovaCurl?: boolean | undefined
 }
 
 /**
@@ -361,6 +366,86 @@ export const CANONICAL_113C_MISSILES: Readonly<Record<string, MissileTxtData>> =
     speedPxPerSec: 0,
     distancePx: 0,
   },
+  frozenorb: {
+    name: 'frozenorb',
+    id: 260,
+    vel: 10,
+    maxVel: 10,
+    range: 30,
+    levRange: 0,
+    celFile: 'IceOrb',
+    animLen: 16,
+    animSpeed: 16,
+    loopAnim: 1,
+    numDirections: 16,
+    explosionMissile: 'frozenorbexplode',
+    light: 6,
+    red: 81,
+    green: 81,
+    blue: 255,
+    speedPxPerSec: 250,
+    distancePx: 300,
+  },
+  frozenorbbolt: {
+    name: 'frozenorbbolt',
+    id: 261,
+    vel: 18,
+    maxVel: 18,
+    range: 25,
+    levRange: 0,
+    celFile: 'IceBolt',
+    animLen: 6,
+    animSpeed: 16,
+    loopAnim: 1,
+    numDirections: 16,
+    explosionMissile: 'iceexplode',
+    light: 4,
+    red: 81,
+    green: 81,
+    blue: 255,
+    speedPxPerSec: 450,
+    distancePx: 450,
+  },
+  frozenorbnova: {
+    name: 'frozenorbnova',
+    id: 262,
+    vel: 24,
+    maxVel: 24,
+    range: 25,
+    levRange: 0,
+    celFile: 'IceBolt',
+    animLen: 6,
+    animSpeed: 16,
+    loopAnim: 1,
+    numDirections: 16,
+    explosionMissile: 'iceexplode',
+    light: 4,
+    red: 81,
+    green: 81,
+    blue: 255,
+    speedPxPerSec: 600,
+    distancePx: 600,
+  },
+  frozenorbexplode: {
+    name: 'frozenorbexplode',
+    id: 263,
+    vel: 0,
+    maxVel: 0,
+    range: 16,
+    levRange: 0,
+    celFile: 'IceOrbExplode',
+    animLen: 16,
+    animSpeed: 16,
+    loopAnim: 0,
+    numDirections: 1,
+    explosionMissile: '',
+    light: 6,
+    red: 81,
+    green: 81,
+    blue: 255,
+    speedPxPerSec: 0,
+    distancePx: 0,
+  },
   chargedbolt: {
     name: 'chargedbolt',
     id: 56,
@@ -1666,6 +1751,8 @@ export interface ProjectileOutcome {
     readonly missileType?: string | undefined
     readonly aoeRadius?: number | undefined
   }[] | undefined
+  /** Newly spawned child projectiles during this tick (e.g. Frozen Orb bolts / nova). */
+  readonly spawnedProjectiles?: readonly Projectile[] | undefined
 }
 
 /**
@@ -1687,6 +1774,7 @@ export function tickProjectiles(
 ): ProjectileOutcome {
   const radius = options.radius ?? 8
   const alive: Projectile[] = []
+  const spawned: Projectile[] = []
   const hits: {
     targetIndex: number
     damage: number
@@ -1710,18 +1798,68 @@ export function tickProjectiles(
   let wallHits = 0
 
   for (const projectile of projectiles) {
-    if (projectile.ttl <= 0) { expired += 1; continue }
+    if (projectile.ttl <= 0) {
+      expired += 1
+      if (projectile.missileType === 'frozenorb') {
+        // Authentic D2 1.13c MISSMODE_SrvHit29_FrozenOrb (0x6FC5CE10):
+        // Detonates into 16 frozenorbnova missiles + frozenorbexplode explosion at expiry
+        for (let i = 0; i < 64; i += 4) {
+          const offX = FROZEN_ORB_X_POSITIONS[i]!
+          const offY = FROZEN_ORB_Y_POSITIONS[i]! * ISO_GROUND_ASPECT_RATIO
+          const angle = Math.atan2(offY, offX)
+          const speed = 24
+          spawned.push({
+            skillId: projectile.skillId,
+            x: projectile.x,
+            y: projectile.y,
+            vx: Math.cos(angle) * speed,
+            vy: Math.sin(angle) * speed,
+            damage: projectile.damage > 0 ? projectile.damage : 40,
+            ttl: 25,
+            fromPlayer: projectile.fromPlayer,
+            missileType: 'frozenorbnova',
+            statusEffect: 'chill',
+            statusDuration: 100,
+            isNovaCurl: true,
+            pierce: false,
+          })
+        }
+        wallHitEvents.push({
+          x: projectile.x,
+          y: projectile.y,
+          skillId: projectile.skillId,
+          missileType: 'frozenorb',
+          aoeRadius: 24,
+        })
+      }
+      continue
+    }
 
     let vx = projectile.vx
     let vy = projectile.vy
     let x = projectile.x + vx
     let y = projectile.y + vy
     let spiral = projectile.spiral
+    let subMissileIdx = projectile.subMissileIdx
 
-    // 1. Archimedean spiral trajectory (e.g. Blessed Hammer)
+    // 0. Frozen Orb Nova affine rotation & damping curl in final frames
-    // The hammer traces an Archimedean spiral on the map ground plane. In oblique/isometric
+    // Authentic D2 1.13c MISSMODE_SrvDo16_FrozenOrbNova (0x6FC58340):
-    // perspective (2:1 projection), a circular ground expansion projects to an ellipse with a 2:1 aspect ratio.
+    // In final 6 frames before expiry, every 2 frames apply: x' = (x - y) / 2, y' = (x + y) / 2
-    if (spiral !== undefined) {
+    if (
+      (projectile.isNovaCurl || projectile.missileType === 'frozenorbnova') &&
+      projectile.ttl <= 6 &&
+      projectile.ttl % 2 === 0
+    ) {
+      const diff = vx - vy
+      const sum = vx + vy
+      vx = diff / 2
+      vy = sum / 2
+      x = projectile.x + vx
+      y = projectile.y + vy
+    } else if (spiral !== undefined) {
+      // 1. Archimedean spiral trajectory (e.g. Blessed Hammer)
+      // The hammer traces an Archimedean spiral on the map ground plane. In oblique/isometric
+      // perspective (2:1 projection), a circular ground expansion projects to an ellipse with a 2:1 aspect ratio.
       const nextAngle = spiral.angle + 0.22
       const nextRadius = spiral.radius + 3.2
       spiral = { ...spiral, angle: nextAngle, radius: nextRadius }
@@ -1772,6 +1910,32 @@ export function tickProjectiles(
       }
     }
 
+    // 4. Frozen Orb sub-missile emitter (pSrvDoFunc = 15, frequency = 1, step = 19)
+    // Authentic D2 1.13c MISSMODE_SrvDo15_FrozenOrb (0x6FC581F0):
+    // Emits 1 radial frozenorbbolt along 64-point circle table, advancing by step 19
+    if (projectile.missileType === 'frozenorb') {
+      const idx = Math.abs((subMissileIdx ?? 0) % 64)
+      const offX = FROZEN_ORB_X_POSITIONS[idx]!
+      const offY = FROZEN_ORB_Y_POSITIONS[idx]! * ISO_GROUND_ASPECT_RATIO
+      const angle = Math.atan2(offY, offX)
+      const speed = 18 // vel = 18 in 1.13c Missiles.txt (450 px/s)
+      spawned.push({
+        skillId: projectile.skillId,
+        x,
+        y,
+        vx: Math.cos(angle) * speed,
+        vy: Math.sin(angle) * speed,
+        damage: projectile.damage > 0 ? projectile.damage : 40,
+        ttl: 25,
+        fromPlayer: projectile.fromPlayer,
+        missileType: 'frozenorbbolt',
+        statusEffect: 'chill',
+        statusDuration: 100,
+        pierce: false,
+      })
+      subMissileIdx = (idx + 19) % 64
+    }
+
     const hitTargets = projectile.hitTargets ?? new Set<number>()
     const moved: Projectile = {
       ...projectile,
@@ -1780,6 +1944,7 @@ export function tickProjectiles(
       vx,
       vy,
       spiral,
+      subMissileIdx,
       hitTargets,
       ttl: projectile.ttl - 1,
     }
@@ -1798,32 +1963,58 @@ export function tickProjectiles(
         missileType: projectile.missileType,
         aoeRadius: projectile.aoeRadius,
       })
+      if (projectile.missileType === 'frozenorb') {
+        for (let i = 0; i < 64; i += 4) {
+          const offX = FROZEN_ORB_X_POSITIONS[i]!
+          const offY = FROZEN_ORB_Y_POSITIONS[i]! * ISO_GROUND_ASPECT_RATIO
+          const angle = Math.atan2(offY, offX)
+          const speed = 24
+          spawned.push({
+            skillId: projectile.skillId,
+            x,
+            y,
+            vx: Math.cos(angle) * speed,
+            vy: Math.sin(angle) * speed,
+            damage: projectile.damage > 0 ? projectile.damage : 40,
+            ttl: 25,
+            fromPlayer: projectile.fromPlayer,
+            missileType: 'frozenorbnova',
+            statusEffect: 'chill',
+            statusDuration: 100,
+            isNovaCurl: true,
+            pierce: false,
+          })
+        }
+      }
       continue
     }
 
     let struck = false
-    for (const target of targets) {
+    const isHarmlessEmitter = projectile.missileType === 'frozenorb'
-      if (!target.alive) continue
+    if (!isHarmlessEmitter) {
-      if (hitTargets.has(target.index)) continue // already struck by piercing projectile
+      for (const target of targets) {
-      if (Math.hypot(target.x - x, target.y - y) > target.radius + radius) continue
+        if (!target.alive) continue
+        if (hitTargets.has(target.index)) continue // already struck by piercing projectile
+        if (Math.hypot(target.x - x, target.y - y) > target.radius + radius) continue
 
-      hits.push({
+        hits.push({
-        targetIndex: target.index,
+          targetIndex: target.index,
-        damage: projectile.damage,
+          damage: projectile.damage,
-        x,
+          x,
-        y,
+          y,
-        skillId: projectile.skillId,
+          skillId: projectile.skillId,
-        missileType: projectile.missileType,
+          missileType: projectile.missileType,
-        aoeRadius: projectile.aoeRadius,
+          aoeRadius: projectile.aoeRadius,
-        statusEffect: projectile.statusEffect,
+          statusEffect: projectile.statusEffect,
-        statusDuration: projectile.statusDuration,
+          statusDuration: projectile.statusDuration,
-        isUndeadOnly: projectile.isUndeadOnly,
+          isUndeadOnly: projectile.isUndeadOnly,
-      })
+        })
 
-      hitTargets.add(target.index)
+        hitTargets.add(target.index)
-      if (!projectile.pierce) {
+        if (!projectile.pierce) {
-        struck = true
+          struck = true
-        break
+          break
+        }
       }
     }
 
@@ -1831,7 +2022,9 @@ export function tickProjectiles(
       alive.push(moved)
     }
   }
-  return { alive, hits, expired, wallHits, wallHitEvents }
+
+  alive.push(...spawned)
+  return { alive, hits, expired, wallHits, wallHitEvents, spawnedProjectiles: spawned }
 }
 
 // ============================================================================

src/render/missiles-meta.ts

@@ -823,6 +823,68 @@ export const FREEZEEXPLODE_META: MissileMeta = {
   ],
 }
 
+export const FROZENORB_META: MissileMeta = {
+  name: "frozenorb",
+  celFile: "IceOrb",
+  width: 512,
+  height: 107,
+  directions: 1,
+  framesPerDirection: 16,
+  animSpeed: 16,
+  groups: [
+    [
+      [0, 0, 54, 53, -27, -71],
+      [55, 0, 54, 53, -27, -71],
+      [110, 0, 54, 53, -27, -71],
+      [165, 0, 54, 53, -27, -71],
+      [220, 0, 54, 53, -27, -71],
+      [275, 0, 54, 53, -27, -71],
+      [330, 0, 54, 53, -27, -71],
+      [385, 0, 54, 53, -27, -71],
+      [440, 0, 54, 53, -27, -71],
+      [0, 54, 54, 53, -27, -71],
+      [55, 54, 54, 53, -27, -71],
+      [110, 54, 54, 53, -27, -71],
+      [165, 54, 54, 53, -27, -71],
+      [220, 54, 54, 53, -27, -71],
+      [275, 54, 54, 53, -27, -71],
+      [330, 54, 54, 53, -27, -71]
+    ]
+  ],
+}
+
+export const FROZENORBEXPLODE_META: MissileMeta = {
+  name: "frozenorbexplode",
+  celFile: "IceOrbExplode",
+  width: 1024,
+  height: 959,
+  directions: 1,
+  framesPerDirection: 18,
+  animSpeed: 16,
+  groups: [
+    [
+      [0, 0, 230, 191, -111, -113],
+      [231, 0, 230, 191, -111, -113],
+      [462, 0, 230, 191, -111, -113],
+      [693, 0, 230, 191, -111, -113],
+      [0, 192, 230, 191, -111, -113],
+      [231, 192, 230, 191, -111, -113],
+      [462, 192, 230, 191, -111, -113],
+      [693, 192, 230, 191, -111, -113],
+      [0, 384, 230, 191, -111, -113],
+      [231, 384, 230, 191, -111, -113],
+      [462, 384, 230, 191, -111, -113],
+      [693, 384, 230, 191, -111, -113],
+      [0, 576, 230, 191, -111, -113],
+      [231, 576, 230, 191, -111, -113],
+      [462, 576, 230, 191, -111, -113],
+      [693, 576, 230, 191, -111, -113],
+      [0, 768, 230, 191, -111, -113],
+      [231, 768, 230, 191, -111, -113]
+    ]
+  ],
+}
+
 export const CHARGEDBOLT_META: MissileMeta = {
   name: "chargedbolt",
   celFile: "ChargedBolt",
@@ -4792,6 +4854,8 @@ export const MISSILE_METAS: Readonly<Record<string, MissileMeta>> = Object.freez
   'glacialspike': GLACIALSPIKE_META,
   'iceexplode': ICEEXPLODE_META,
   'freezeexplode': FREEZEEXPLODE_META,
+  'frozenorb': FROZENORB_META,
+  'frozenorbexplode': FROZENORBEXPLODE_META,
   'chargedbolt': CHARGEDBOLT_META,
   'teeth': TEETH_META,
   'teethexplode': TEETHEXPLODE_META,

src/scene/act-scene.ts

@@ -1505,10 +1505,15 @@ export function castSkill(
     missileType = 'lightningjavelin'
     skillName = '闪电之枪'
   } else if (skillId === 64) {
-    speed = 400
+    const missile = getMissileTxtData('frozenorb')
-    range = 480
+    speed = missile.speedPxPerSec || 250
-    damage = 35
+    range = missile.distancePx || 300
+    damage = 40
     delay = 25
+    pierce = true
+    statusEffect = 'chill'
+    statusDuration = 100
+    missileType = 'frozenorb'
     skillName = '冰封球'
   } else if (skillId === 49) {
     speed = 600
@@ -3586,6 +3591,11 @@ export async function loadMissileArtMap(
       }
     }),
   )
+  if (map.has('icebolt')) {
+    const iceboltArt = map.get('icebolt')!
+    map.set('frozenorbbolt', iceboltArt)
+    map.set('frozenorbnova', iceboltArt)
+  }
   return map
 }
 
@@ -5152,7 +5162,7 @@ if (typeof window !== 'undefined') {
       for (const shot of engine.projectiles) {
         pushEntity(shot.x, shot.y, () => {
           const mType = shot.missileType ?? (shot.skillId === '36' ? 'firebolt' : shot.skillId === '47' ? 'fireball' : undefined)
-          const art = mType !== undefined ? missileArtMap.get(mType) : undefined
+          const art = mType !== undefined ? (missileArtMap.get(mType) ?? (mType === 'frozenorbbolt' || mType === 'frozenorbnova' ? missileArtMap.get('icebolt') : undefined)) : undefined
           if (art !== undefined) {
             drawMissileProjectile(renderer, shot, art)
           } else {

tests/frozen-orb-missile-113c.test.ts

@@ -0,0 +1,390 @@
+/**
+ * Diablo II: Lord of Destruction v1.13c — Skill #064: Frozen Orb (SOR)
+ * Missile Physics, Discrete Circle Emitter, Visual Assets & 1.13c Parity Suite
+ *
+ * Requirements (Issue #218 / Frozen Orb Parity):
+ * 1. Missiles.txt ground truth: parses and verifies frozenorb (ID 260), frozenorbbolt (ID 261),
+ *    frozenorbnova (ID 262), and frozenorbexplode (ID 263).
+ * 2. Visual assets & atlas metadata: FROZENORB_META (IceOrb.dcc, 16 frames),
+ *    FROZENORBEXPLODE_META (IceOrbExplode.dcc, 18 frames), baked PNG/JSON files exist.
+ * 3. Discrete circle emitter (pSrvDoFunc = 15): 64-point lookup table, step 19, 2:1 isometric
+ *    ground foreshortening (ISO_GROUND_ASPECT_RATIO = 0.5), emits 30 frozenorbbolt missiles over 30 ticks.
+ * 4. Main orb monster penetration: pierces through monsters without dying (CollideKill = 0) and
+ *    does not deal direct contact damage (damage delivered by emitted bolts).
+ * 5. Expiration burst & wall detonation (pSrvHitFunc = 29): 16 frozenorbnova missiles along 64
+ *    directions (step 4) + frozenorbexplode explosion.
+ * 6. Frozen Orb Nova affine rotation & damping curl (pSrvDoFunc = 16): last 6 frames every 2 frames
+ *    transforms x' = (x - y)/2, y' = (x + y)/2.
+ * 7. Zero NextDelay sweet spot burst damage: multiple overlapping child bolts hit in same frame.
+ */
+import { describe, expect, it } from 'vitest'
+import fs from 'node:fs'
+import path from 'node:path'
+import {
+  parseMissilesTxt,
+  getMissileTxtData,
+  CANONICAL_113C_MISSILES,
+  tickProjectiles,
+  ISO_GROUND_ASPECT_RATIO,
+  type Projectile,
+} from '../src/game/skills.ts'
+import {
+  FROZEN_ORB_X_POSITIONS,
+  FROZEN_ORB_Y_POSITIONS,
+} from '../src/game/engine/missile-engine.ts'
+import {
+  FROZENORB_META,
+  FROZENORBEXPLODE_META,
+  MISSILE_METAS,
+} from '../src/render/missiles-meta.ts'
+
+describe('[Skill #064] Frozen Orb — 1.13c Missile Physics & Runtime Parity', () => {
+  const missilesTxtPath = path.resolve(__dirname, '../samples/fixtures/data/global/excel/Missiles.txt')
+  const missilesTxtContent = fs.readFileSync(missilesTxtPath, 'latin1')
+
+  it('1. Parses authentic 1.13c Missiles.txt and verifies frozenorb missile suite', () => {
+    const map = parseMissilesTxt(missilesTxtContent)
+
+    // frozenorb (ID 260)
+    const orb = map.get('frozenorb')
+    expect(orb).toBeDefined()
+    expect(orb!.id).toBe(260)
+    expect(orb!.vel).toBe(10)
+    expect(orb!.range).toBe(30)
+    expect(orb!.speedPxPerSec).toBe(250) // 10 * 25
+    expect(orb!.distancePx).toBe(300) // 10 * 30
+    expect(orb!.celFile.toLowerCase()).toBe('iceorb')
+    expect(orb!.animLen).toBe(16)
+    expect(orb!.explosionMissile).toBe('') // In raw Missiles.txt, pSrvHitFunc 29 spawns frozenorbexplode via code
+    expect(orb!.light).toBe(6)
+    expect(orb!.red).toBe(81)
+    expect(orb!.green).toBe(81)
+    expect(orb!.blue).toBe(255)
+
+    // frozenorbbolt (ID 261)
+    const bolt = map.get('frozenorbbolt')
+    expect(bolt).toBeDefined()
+    expect(bolt!.id).toBe(261)
+    expect(bolt!.vel).toBe(18)
+    expect(bolt!.range).toBe(25)
+    expect(bolt!.speedPxPerSec).toBe(450) // 18 * 25
+    expect(bolt!.distancePx).toBe(450) // 18 * 25
+    expect(bolt!.celFile.toLowerCase()).toBe('icebolt')
+    expect(bolt!.animLen).toBe(6)
+
+    // frozenorbnova (ID 262)
+    const nova = map.get('frozenorbnova')
+    expect(nova).toBeDefined()
+    expect(nova!.id).toBe(262)
+    expect(nova!.vel).toBe(24)
+    expect(nova!.range).toBe(25)
+    expect(nova!.speedPxPerSec).toBe(600) // 24 * 25
+    expect(nova!.distancePx).toBe(600) // 24 * 25
+    expect(nova!.celFile.toLowerCase()).toBe('icebolt')
+    expect(nova!.animLen).toBe(6)
+
+    // frozenorbexplode (ID 263)
+    const exp = map.get('frozenorbexplode')
+    expect(exp).toBeDefined()
+    expect(exp!.id).toBe(263)
+    expect(exp!.vel).toBe(0)
+    expect(exp!.range).toBe(16)
+    expect(exp!.celFile.toLowerCase()).toBe('iceorbexplode')
+    expect(exp!.animLen).toBe(16)
+  })
+
+  it('2. CANONICAL_113C_MISSILES export contains frozenorb suite with exact values', () => {
+    const orb = getMissileTxtData('frozenorb')
+    expect(orb.id).toBe(260)
+    expect(orb.vel).toBe(10)
+    expect(orb.range).toBe(30)
+    expect(orb.speedPxPerSec).toBe(250)
+    expect(orb.distancePx).toBe(300)
+    expect(orb.explosionMissile).toBe('frozenorbexplode')
+
+    const bolt = getMissileTxtData('frozenorbbolt')
+    expect(bolt.id).toBe(261)
+    expect(bolt.vel).toBe(18)
+    expect(bolt.range).toBe(25)
+    expect(bolt.speedPxPerSec).toBe(450)
+
+    const nova = getMissileTxtData('frozenorbnova')
+    expect(nova.id).toBe(262)
+    expect(nova.vel).toBe(24)
+    expect(nova.range).toBe(25)
+    expect(nova.speedPxPerSec).toBe(600)
+
+    const explode = getMissileTxtData('frozenorbexplode')
+    expect(explode.id).toBe(263)
+    expect(explode.animLen).toBe(16)
+  })
+
+  it('3. Authentic baked DCC atlas metadata and files exist with non-zero byte size', () => {
+    expect(FROZENORB_META.name).toBe('frozenorb')
+    expect(FROZENORB_META.celFile).toBe('IceOrb')
+    expect(FROZENORB_META.directions).toBe(1)
+    expect(FROZENORB_META.framesPerDirection).toBe(16)
+    expect(FROZENORB_META.groups.length).toBe(1)
+    expect(FROZENORB_META.groups[0]!.length).toBe(16)
+
+    expect(FROZENORBEXPLODE_META.name).toBe('frozenorbexplode')
+    expect(FROZENORBEXPLODE_META.celFile).toBe('IceOrbExplode')
+    expect(FROZENORBEXPLODE_META.directions).toBe(1)
+    expect(FROZENORBEXPLODE_META.framesPerDirection).toBe(18)
+    expect(FROZENORBEXPLODE_META.groups.length).toBe(1)
+    expect(FROZENORBEXPLODE_META.groups[0]!.length).toBe(18)
+
+    expect(MISSILE_METAS['frozenorb']).toBe(FROZENORB_META)
+    expect(MISSILE_METAS['frozenorbexplode']).toBe(FROZENORBEXPLODE_META)
+
+    const orbPngPath = path.resolve(__dirname, '../public/missiles/frozenorb.png')
+    const orbJsonPath = path.resolve(__dirname, '../public/missiles/frozenorb.json')
+    const expPngPath = path.resolve(__dirname, '../public/missiles/frozenorbexplode.png')
+    const expJsonPath = path.resolve(__dirname, '../public/missiles/frozenorbexplode.json')
+
+    expect(fs.existsSync(orbPngPath)).toBe(true)
+    expect(fs.statSync(orbPngPath).size).toBeGreaterThan(10000)
+    expect(fs.existsSync(orbJsonPath)).toBe(true)
+    expect(fs.existsSync(expPngPath)).toBe(true)
+    expect(fs.statSync(expPngPath).size).toBeGreaterThan(20000)
+    expect(fs.existsSync(expJsonPath)).toBe(true)
+  })
+
+  it('4. Discrete circle table matches 1.13c binary assembly (64 entries, radius 30)', () => {
+    expect(FROZEN_ORB_X_POSITIONS.length).toBe(64)
+    expect(FROZEN_ORB_Y_POSITIONS.length).toBe(64)
+    expect(FROZEN_ORB_X_POSITIONS[0]).toBe(30)
+    expect(FROZEN_ORB_Y_POSITIONS[0]).toBe(0)
+    expect(FROZEN_ORB_X_POSITIONS[16]).toBe(0)
+    expect(FROZEN_ORB_Y_POSITIONS[16]).toBe(30)
+    expect(FROZEN_ORB_X_POSITIONS[32]).toBe(-30)
+    expect(FROZEN_ORB_Y_POSITIONS[32]).toBe(0)
+    expect(FROZEN_ORB_X_POSITIONS[48]).toBe(0)
+    expect(FROZEN_ORB_Y_POSITIONS[48]).toBe(-30)
+  })
+
+  it('5. tickProjectiles: simulates 30-tick flight, emitting 1 bolt per frame along 64-table with step 19', () => {
+    const orb: Projectile = {
+      skillId: '64',
+      x: 100,
+      y: 100,
+      vx: 10, // 250 px/s / 25 fps = 10 px/tick
+      vy: 0,
+      damage: 42,
+      ttl: 30, // 30 frames
+      fromPlayer: true,
+      missileType: 'frozenorb',
+      pierce: true,
+      subMissileIdx: 0,
+    }
+
+    let currentProjectiles: readonly Projectile[] = [orb]
+    const allEmittedBolts: Projectile[] = []
+    const openTerrain = { overlap: () => 0 }
+
+    for (let tick = 1; tick <= 30; tick += 1) {
+      const outcome = tickProjectiles(currentProjectiles, [], openTerrain)
+      expect(outcome.spawnedProjectiles).toBeDefined()
+      expect(outcome.spawnedProjectiles!.length).toBe(1)
+      const bolt = outcome.spawnedProjectiles![0]!
+      expect(bolt.missileType).toBe('frozenorbbolt')
+      expect(bolt.damage).toBe(42)
+      expect(bolt.statusEffect).toBe('chill')
+      expect(bolt.statusDuration).toBe(100)
+      expect(bolt.ttl).toBe(25)
+      expect(Math.hypot(bolt.vx, bolt.vy)).toBeCloseTo(18, 0.1) // vel = 18 px/tick
+
+      allEmittedBolts.push(bolt)
+
+      // Filter to keep only the orb for tracking emitter state
+      currentProjectiles = outcome.alive.filter(p => p.missileType === 'frozenorb')
+      if (tick < 30) {
+        expect(currentProjectiles.length).toBe(1)
+        expect(currentProjectiles[0]!.x).toBe(100 + tick * 10)
+        expect(currentProjectiles[0]!.ttl).toBe(30 - tick)
+        // Verify direction index advanced by 19 mod 64
+        const expectedIdx = (tick * 19) % 64
+        expect(currentProjectiles[0]!.subMissileIdx).toBe(expectedIdx)
+      } else {
+        // At tick 30, moved.ttl reaches 0
+        expect(currentProjectiles.length).toBe(1)
+        expect(currentProjectiles[0]!.ttl).toBe(0)
+      }
+    }
+
+    expect(allEmittedBolts.length).toBe(30)
+
+    // At tick 31, the orb with ttl: 0 detonates into 16 frozenorbnova missiles!
+    const detonateOutcome = tickProjectiles(currentProjectiles, [], openTerrain)
+    expect(detonateOutcome.expired).toBe(1)
+    expect(detonateOutcome.alive.length).toBe(16) // 16 nova missiles spawned
+    expect(detonateOutcome.spawnedProjectiles!.length).toBe(16)
+    for (const nova of detonateOutcome.spawnedProjectiles!) {
+      expect(nova.missileType).toBe('frozenorbnova')
+      expect(nova.damage).toBe(42)
+      expect(nova.statusEffect).toBe('chill')
+      expect(nova.isNovaCurl).toBe(true)
+      expect(nova.ttl).toBe(25)
+      expect(Math.hypot(nova.vx, nova.vy)).toBeCloseTo(24, 0.1) // vel = 24 px/tick
+    }
+
+    // Verify explosion event was pushed
+    expect(detonateOutcome.wallHitEvents).toBeDefined()
+    expect(detonateOutcome.wallHitEvents!.some(e => e.missileType === 'frozenorb')).toBe(true)
+  })
+
+  it('6. Main orb pierces monsters without dealing direct contact damage (CollideKill = 0)', () => {
+    const orb: Projectile = {
+      skillId: '64',
+      x: 100,
+      y: 100,
+      vx: 10,
+      vy: 0,
+      damage: 50,
+      ttl: 10,
+      fromPlayer: true,
+      missileType: 'frozenorb',
+      pierce: true,
+      subMissileIdx: 0,
+    }
+
+    // Place dummy enemy directly in front of the orb
+    const targets = [{ index: 0, x: 110, y: 100, radius: 15, alive: true }]
+    const outcome = tickProjectiles([orb], targets, { overlap: () => 0 })
+
+    // Main orb must NOT deal direct contact damage
+    const directHits = outcome.hits.filter(h => h.missileType === 'frozenorb')
+    expect(directHits.length).toBe(0)
+
+    // Main orb must NOT die on the monster
+    const survivingOrb = outcome.alive.find(p => p.missileType === 'frozenorb')
+    expect(survivingOrb).toBeDefined()
+    expect(survivingOrb!.x).toBe(110)
+    expect(survivingOrb!.ttl).toBe(9)
+  })
+
+  it('7. Wall collision immediately detonates orb into 16 nova bolts and stops flight', () => {
+    const orb: Projectile = {
+      skillId: '64',
+      x: 100,
+      y: 100,
+      vx: 10,
+      vy: 0,
+      damage: 40,
+      ttl: 25,
+      fromPlayer: true,
+      missileType: 'frozenorb',
+      pierce: true,
+      subMissileIdx: 0,
+    }
+
+    // Wall at x >= 110
+    const wallTerrain = { overlap: (x: number) => (x >= 110 ? 1 : 0) }
+    const outcome = tickProjectiles([orb], [], wallTerrain)
+
+    expect(outcome.wallHits).toBe(1)
+    // Orb must not survive as an active frozenorb
+    expect(outcome.alive.some(p => p.missileType === 'frozenorb')).toBe(false)
+    // Must have detonated 16 nova bolts
+    expect(outcome.spawnedProjectiles!.filter(p => p.missileType === 'frozenorbnova').length).toBe(16)
+    // Wall hit events must register the explosion
+    expect(outcome.wallHitEvents!.some(e => e.missileType === 'frozenorb')).toBe(true)
+  })
+
+  it('8. Frozen Orb Nova: affine curl damping transforms velocity in last 6 frames', () => {
+    // Nova bolt with ttl = 6, vx = 20, vy = 10
+    const nova: Projectile = {
+      skillId: '64',
+      x: 200,
+      y: 200,
+      vx: 20,
+      vy: 10,
+      damage: 40,
+      ttl: 6,
+      fromPlayer: true,
+      missileType: 'frozenorbnova',
+      isNovaCurl: true,
+    }
+
+    // Step 1: ttl 6 -> curl applied! (6 <= 6 && 6 % 2 === 0)
+    // D2 1.13c: vx' = (vx - vy) / 2 = (20 - 10) / 2 = 5
+    //           vy' = (vx + vy) / 2 = (20 + 10) / 2 = 15
+    // x' = 200 + 5 = 205, y' = 200 + 15 = 215
+    const step1 = tickProjectiles([nova], [], { overlap: () => 0 })
+    const moved1 = step1.alive.find(p => p.missileType === 'frozenorbnova')!
+    expect(moved1).toBeDefined()
+    expect(moved1.vx).toBe(5)
+    expect(moved1.vy).toBe(15)
+    expect(moved1.x).toBe(205)
+    expect(moved1.y).toBe(215)
+    expect(moved1.ttl).toBe(5)
+
+    // Step 2: ttl 5 (odd, no curl transform, normal linear flight with vx=5, vy=15)
+    const step2 = tickProjectiles([moved1], [], { overlap: () => 0 })
+    const moved2 = step2.alive.find(p => p.missileType === 'frozenorbnova')!
+    expect(moved2.vx).toBe(5)
+    expect(moved2.vy).toBe(15)
+    expect(moved2.x).toBe(210)
+    expect(moved2.y).toBe(230)
+    expect(moved2.ttl).toBe(4)
+
+    // Step 3: ttl 4 (even, curl applied again!)
+    // vx' = (5 - 15) / 2 = -5
+    // vy' = (5 + 15) / 2 = 10
+    // x' = 210 - 5 = 205, y' = 230 + 10 = 240
+    const step3 = tickProjectiles([moved2], [], { overlap: () => 0 })
+    const moved3 = step3.alive.find(p => p.missileType === 'frozenorbnova')!
+    expect(moved3.vx).toBe(-5)
+    expect(moved3.vy).toBe(10)
+    expect(moved3.x).toBe(205)
+    expect(moved3.y).toBe(240)
+  })
+
+  it('9. Zero NextDelay sweet spot burst: multiple child bolts damage the same target in single frame', () => {
+    // 3 separate nova bolts converging on the same enemy position
+    const bolt1: Projectile = {
+      skillId: '64',
+      x: 95,
+      y: 100,
+      vx: 5,
+      vy: 0,
+      damage: 40,
+      ttl: 20,
+      fromPlayer: true,
+      missileType: 'frozenorbnova',
+    }
+    const bolt2: Projectile = {
+      skillId: '64',
+      x: 105,
+      y: 100,
+      vx: -5,
+      vy: 0,
+      damage: 40,
+      ttl: 20,
+      fromPlayer: true,
+      missileType: 'frozenorbnova',
+    }
+    const bolt3: Projectile = {
+      skillId: '64',
+      x: 100,
+      y: 95,
+      vx: 0,
+      vy: 5,
+      damage: 40,
+      ttl: 20,
+      fromPlayer: true,
+      missileType: 'frozenorbnova',
+    }
+
+    const dummyTarget = [{ index: 1, x: 100, y: 100, radius: 10, alive: true }]
+    const outcome = tickProjectiles([bolt1, bolt2, bolt3], dummyTarget, { overlap: () => 0 })
+
+    // In 1.13c, Frozen Orb child missiles have NextDelay = 0.
+    // Therefore all 3 intersecting bolts hit the dummy monster and register damage!
+    expect(outcome.hits.length).toBe(3)
+    const targetHits = outcome.hits.filter(h => h.targetIndex === 1)
+    expect(targetHits.length).toBe(3)
+    const totalDmg = targetHits.reduce((sum, h) => sum + h.damage, 0)
+    expect(totalDmg).toBe(120) // 3 * 40
+  })
+})