Implement Eclipse set and demonic pact fire burn

src/lib/BaseCalc.ts

@@ -814,10 +814,14 @@ export default class BaseCalc {
     // Some set effects are currently not accounted for
     if (
       this.wearingAll(['Blue moon helm', 'Blue moon chestplate', 'Blue moon tassets', 'Blue moon spear'])
-      || this.wearingAll(['Eclipse moon helm', 'Eclipse moon chestplate', 'Eclipse moon tassets', 'Eclipse atlatl'])
     ) {
       this.addIssue(UserIssueType.EQUIPMENT_SET_EFFECT_UNSUPPORTED, 'The calculator currently does not account for your equipment set effect.');
     }
+    if (
+      this.wearingAll(['Eclipse moon helm', 'Eclipse moon chestplate', 'Eclipse moon tassets', 'Eclipse atlatl'])
+    ) {
+      this.addIssue(UserIssueType.EQUIPMENT_SET_EFFECT_UNSUPPORTED, 'The calculator only incorporates burn damage in DPS, not TTK.');
+    }
     if (this.wearing('Ring of recoil') || this.wearing('Ring of suffering (i)') || this.wearing('Ring of suffering')) {
       this.addIssue(UserIssueType.RING_RECOIL_UNSUPPORTED, 'The calculator does not account for recoil damage.');
     }
@@ -829,9 +833,6 @@ export default class BaseCalc {
     if (leaguesEffects.talent_bow_max_hit_stacking_increase || leaguesEffects.talent_bow_min_hit_stacking_increase) {
       this.addIssue(UserIssueType.LEAGUES_SIX_TALENT_UNSUPPORTED, 'Repeat Bow Hit Damage (coming soon)');
     }
-    if (leaguesEffects.talent_fire_spell_burn_bounce) {
-      this.addIssue(UserIssueType.LEAGUES_SIX_TALENT_UNSUPPORTED, 'Fire Spell Burn (coming soon)');
-    }
     if (leaguesEffects.talent_regen_magic_level_boost) {
       this.addIssue(UserIssueType.LEAGUES_SIX_TALENT_UNSUPPORTED, 'Regenerate Magic Level Boost (coming soon)');
     }

src/lib/PlayerVsNPCCalc.ts

@@ -1373,6 +1373,40 @@ export default class PlayerVsNPCCalc extends BaseCalc {
       }
     }
 
+    const eclipseSet = this.wearingAll(['Eclipse moon helm', 'Eclipse moon chestplate', 'Eclipse moon tassets', 'Eclipse atlatl']);
+    const eclipseBurn = eclipseSet && this.player.style.type === 'ranged' && !this.isImmuneToStrongBurns();
+    const fireSpellBurn = this.player.leagues.six.effects.talent_fire_spell_burn_bounce
+      && this.getSpellement() === 'fire'
+      && !this.isImmuneToNormalBurns();
+
+    const burnTicks = 40;
+    const burnDamage = 10;
+    const maxBurnStacks = 5;
+    let burnChance = 0;
+    if (eclipseBurn) {
+      burnChance = 0.2;
+    } else if (fireSpellBurn) {
+      burnChance = 1;
+    }
+
+    // The expected damage is per attack, but to simplify we first calculate the expected number
+    // of stacks (and thus DPS) in a steady-state attacking rhythm, and convert back to damage per
+    // attack afterwards.
+    if (burnChance > 0) {
+      const ticksPerAttack = this.getExpectedAttackSpeed();
+      const burnsPerTick = burnChance * this.getHitChance() / ticksPerAttack;
+      const unboundedBurnStacks = burnTicks * burnsPerTick;
+
+      // We account for losing burns to the stacks cap using the Erlang B loss formula.
+      let invB = 1.0;
+      for (let i = 1; i <= 1 + maxBurnStacks; i++) {
+        invB = 1.0 + invB * i / unboundedBurnStacks;
+      }
+      const expectBurnStacks = Math.min(maxBurnStacks, unboundedBurnStacks * (1 - 1 / invB));
+      const dpt = expectBurnStacks * burnDamage / burnTicks;
+      ret = dpt * ticksPerAttack;
+    }
+
     if (ret !== 0) {
       this.track(DetailKey.DOT_EXPECTED, ret);
     }
@@ -1386,11 +1420,20 @@ export default class PlayerVsNPCCalc extends BaseCalc {
         ret = 29;
       } else if (this.wearing('Scorching bow') && !this.isImmuneToNormalBurns()) {
         ret = this.monster.attributes.includes(MonsterAttribute.DEMON) ? 5 : 1;
-      } else if (this.wearing('Arkan blade') && !this.isImmuneToNormalBurns()) {
+      } else if (this.wearing('Arkan blade') && !this.isImmuneToStrongBurns()) {
         ret = 10;
       }
     }
 
+    const eclipseSet = this.wearingAll(['Eclipse moon helm', 'Eclipse moon chestplate', 'Eclipse moon tassets', 'Eclipse atlatl']);
+    const eclipseBurn = eclipseSet && this.player.style.type === 'ranged' && !this.isImmuneToStrongBurns();
+    const fireSpellBurn = this.player.leagues.six.effects.talent_fire_spell_burn_bounce
+      && this.getSpellement() === 'fire'
+      && !this.isImmuneToNormalBurns();
+    if (eclipseBurn || fireSpellBurn) {
+      ret = 5;
+    }
+
     if (ret !== 0) {
       this.track(DetailKey.DOT_MAX, ret);
     }