Jan Bader
151 lines
4.8 KiB
Markdown
151 lines
4.8 KiB
Markdown
# Forge Master Game Model
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This document is the source of truth for game-specific rules, stat assumptions, formulas, and known limitations used by the optimizer.
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## Equipment model
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A build contains:
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- 8 fixed core items
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- 1 mount
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- 3 pets
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- 1 skill base-stat entry
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Core item names and base stat types are fixed. Their base values are currently hardcoded from the player's known setup:
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| Slot | Item | Base stat |
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| --- | --- | ---: |
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| Item 1 | Helmet | 1,930,000 health |
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| Item 2 | Armor | 1,890,000 health |
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| Item 3 | Gloves | 237,000 damage |
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| Item 4 | Collar | 237,000 damage |
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| Item 5 | Ring | 244,000 damage |
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| Item 6 | Weapon | 398,000 damage |
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| Item 7 | Boots | 1,850,000 health |
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| Item 8 | Belt | 1,150,000 health |
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Mounts and pets provide both damage and health base stats. Skill provides damage and health base stats only and has no effects.
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## Effects
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Items, mounts, and pets may have zero, one, or two effects depending on rarity. Effects start at `1%` and roll up to their cap.
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| Effect | Maximum | Optimizer id |
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| --- | ---: | --- |
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| Crit chance | 12% | `critChance` |
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| Crit damage | 80% | `critDamage` |
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| Block chance | 5% | `blockChance` |
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| Health regen | 4% | `healthRegen` |
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| Lifesteal | 20% | `lifesteal` |
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| Double chance | 20% | `doubleChance` |
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| Damage | 15% | `damage` |
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| Melee damage | 50% | `meleeDamage` |
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| Ranged damage | 15% | `rangedDamage` |
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| Attack speed | 40% | `attackSpeed` |
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| Skill damage | 30% | `skillDamage` |
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| Skill cooldown reduction | 7% | `skillCooldown` |
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| Health | 15% | `health` |
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Effects stack additively within their own effect type, then each type contributes as a multiplier in the formulas below.
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## DPS formula
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The current DPS model is:
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```text
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single hit = base damage
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* (1 + damage%)
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* (1 + selected style damage%)
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crit hit = single hit * (1 + crit damage%)
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DPS = single hit
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* ((1 + attack speed%) / 2)
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* (1 + double chance%)
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* (1 + crit chance% * crit damage%)
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* skill cooldown multiplier, only for Skill style
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```
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Attack speed assumption: base `100%` attack speed means about one hit every two seconds, or `0.5` hits per second. Therefore the attack-rate term is `(1 + attack speed%) / 2`.
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Crit damage has no effect until crit chance is above `0%` because the crit multiplier is `1 + crit chance% * crit damage%`.
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The selected combat style controls which specialized damage bonus is used:
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- Melee uses melee damage.
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- Ranged uses ranged damage.
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- Skill uses skill damage and skill cooldown reduction.
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Skill cooldown multiplier:
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```text
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1 / max(0.05, 1 - skill cooldown reduction%)
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```
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The `0.05` floor prevents division by zero or unrealistic infinite DPS if future inputs exceed known caps.
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## Regen formula
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The Regen metric estimates healing from health regen and lifesteal:
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```text
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max health = base health * (1 + health%)
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health regen healing = max health * health regen%
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lifesteal healing = DPS * lifesteal%
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regen = health regen healing + lifesteal healing
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```
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The metric is a comparison estimate, not a full combat simulator.
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## Survivability estimate
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Some effect-total comparisons still use an estimated survivability value:
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```text
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survivability = max health
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* (1 / max(0.05, 1 - block chance%))
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* (1 + health regen%)
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* (1 + lifesteal%)
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```
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This is used only to compare marginal defensive effects in the effect totals panel.
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## Additive stacking examples
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If a build already has `+100% melee damage`, adding a max `+50% melee damage` changes the melee multiplier from `2.0x` to `2.5x`.
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```text
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2.5 / 2.0 - 1 = +25% DPS
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```
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That is why the optimizer displays marginal value, not raw roll value.
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## Replacement model
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Players cannot directly increment or adjust an existing effect. They roll replacement items and decide whether to swap.
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The app models this with the New item comparison panel:
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- Select what the new roll would replace.
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- Enter the new roll's base stat and effects.
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- The app shows DPS and Regen change separately.
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- If `Pet` is selected, the app chooses the current worst pet by piece score as the replacement target.
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- Swapping in the new roll stores the replaced piece and prior New item fields so the user can swap back.
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## Profiles
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Profiles change sacrifice scoring and tie-breaking weights:
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- Lifesteal: prioritizes DPS and lifesteal-based healing.
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- Regen: prioritizes health and health-regeneration based healing.
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DPS and Regen calculations themselves do not change by profile.
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## Known limitations
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- Exact Forge Master combat internals are not fully known.
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- Enemy defense, uptime, overkill, proc timing, animation locks, and fight length are not modeled.
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- Block chance is represented as effective-health style mitigation in survivability estimates only.
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- Health regen timing is assumed to be comparable as a per-second-style value.
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- Lifesteal assumes all displayed DPS can convert into healing.
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