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Damage Per Second (DPS) Estimator Calculator

Resolve combat engine mathematics. Precise toolkit for evaluating weapon attack speed, critical hit scaling, and algorithmic mitigation against enemy armor.

Problem Parameters
Weapon Core Stats
Critical Hit Multipliers
%
%

Example: 150% means a crit deals 1.5x normal damage.

Armor & Mitigation (League/WoW scaling)

Leave 0 for raw unmitigated target dummy damage.

Multiplier equation: Constant / (Constant + Armor)

Raw Base DPS (No Crits, No Armor): 150.0
Critical Hit Bonus DPS: +15.0
Armor Damage Reduction: -33.3%
True Effective DPS (on Target): 110.0
BALANCED ALGORITHM: Output calculates standard linear scaling where Crits act as a multiplicative modifier applied before logarithmic armor mitigation.
Solution
Effective Core DPS
250.0
Real-Time
Combat Engine
Asymptotic
Armor Curve
Comprehensive Guide

The Mathematics of Damage

Understand why standard MMOs and MOBAs strictly separate multiplicative damage algorithms from asymptotic armor curves.

The DPS Multipliers

If you build a combat game, your core loop usually revolves around (Damage × Speed). However, if you allow players to arbitrarily raise both variables endlessly, your game will suffer exponential power-creep.

To combat this, games introduce Critical Hits. A Critical Hit acts as a separate multiplicative axis. In most engines (like World of Warcraft or League of Legends), the Expected DPS formula is:
Expected DPS = (Base Damage × Attack Speed) × [1 + (Crit Chance × (Crit Multiplier - 1))]

The Asymptotic Armor Curve

Why can't Armor be a flat percentage?

If a Shield gives `10% Damage Reduction`, and a player equips 10 of them, they reach 100% Damage Reduction and become literally invincible, breaking the game engine. To solve this, Warcraft/League use Asymptotic Scaling. The formula is: Constant / (Constant + Armor).

How the Asymptotic Curve works

If the constant is 100:

  • 100 Armor = 100 / 200 = 50% Damage taken (50% Mitigation).
  • 200 Armor = 100 / 300 = 33% Damage taken (66% Mitigation).
  • 500 Armor = 100 / 600 = 16% Damage taken (84% Mitigation).

Armor suffers from deliberate Diminishing Returns. You can stack 10,000 armor, but you will never mathematically reach 100% invincibility, because the curve asymptotically approaches zero.