Damage Calculator

A hit in HSR doesn't add up stats — it MULTIPLIES through independent zones: base damage (skill multiplier % × ATK), then (1 + DMG boost%), then the enemy's DEF multiplier (the higher the enemy's defense, the smaller this factor gets), then the RES multiplier (enemy elemental resistance minus your RES penetration), then (1 + Vulnerability%), and finally the Broken multiplier: an enemy that hasn't been weakness-broken only takes 90% damage (×0.9), a broken one takes the full 100% (×1.0) — that 10% universal reduction is confirmed even on HoYoLAB's own official wiki.

Because zones MULTIPLY rather than add, a stat that's already high usually gives a smaller marginal gain than boosting one that's still low — which is why dumping everything into one single stat (say, only chasing ATK% while ignoring RES/vulnerability) usually underperforms a balanced spread across zones.

The first three modes (Crit, Break, Super Break) all run on the same core functions in damage-math.js: Crit mode returns three numbers — non-crit, crit (multiplied by 1 + CRIT DMG), and expected average (multiplied by 1 + CRIT Rate × CRIT DMG, the actual probability formula).

Break uses a base constant of BREAK_BASE = 3767.5533 (Level-80 benchmark) multiplied by an element coefficient (Physical/Fire = 2.0, Wind = 1.5, Ice/Lightning = 1.0, Quantum/Imaginary = 0.5) and enemy toughness, then multiplied by Break Effect. Super Break scales off toughness shredded per hit rather than total toughness, multiplied by the specific super-break coefficient of the skill (e.g. Harmony trailblazer).

All these constants are copied directly from Fribbels hsr-optimizer's open-source code — the calculator the community still treats as a benchmark — and each is verified by a golden-test against a specific number (e.g. Fire-element Break at 200% BE, 360 toughness, Level-90 enemy must come out to exactly 37675.5).

There are three ways to fill in stats: (1) paste your UID so the page pulls your REAL build from your account and you just click a character — 100% accurate since it uses your actual live stats, no guessing; (2) without a UID, click any character to grab their base Level-80 ATK as a reference point and manually tweak the rest; (3) type everything in by hand if you already have a build calculated outside the game.

Once your stats are in, pick the right damage MODE from the row of buttons above: Crit (most regular DPS), Break (instant weakness-break hit), Super Break (Firefly/Boothill/Herta-style continuous super-break mechanics), or DoT. Each mode only shows the input group it actually needs — Break/Super Break add Break Effect and toughness fields, Crit adds CRIT Rate/DMG fields.

Crits in HSR are RANDOM based on a percentage chance, not guaranteed on every hit — so the page returns three numbers covering both ends of that probability: non-crit is what you get when you DON'T crit, crit is what you get WHEN you do crit (always higher), and average is the mathematical expectation across many hits at your entered CRIT Rate/DMG — this is the number to use when comparing builds, since it already folds both outcomes together at their real probability.

Break/Super Break only show one number because neither of those damage types can crit — there is no "when-crit" case there.

To be upfront: the DoT mode on this page is an APPROXIMATION — it reuses the exact non-crit hit formula with a per-tick coefficient you enter yourself, NOT the game's dedicated DoT formula (Burn/Shock/Wind Shear/Bleed use their own coefficient math and a few different zones than a regular hit). For numbers accurate to the last percentage point, cross-check against a dedicated DoT formula source like the Fandom wiki or wikiwiki.jp.

The page also does NOT yet do: cumulative TEAM damage across your whole squad (it only calculates one character/one hit at a time), side-by-side build COMPARISON, saving/sharing builds, or ROTATION/action-value damage sequencing like some community optimizers offer. These are roadmap items, not formula errors.

One thing worth flagging when reading numbers: the DEF multiplier here uses the SIMPLIFIED form 100/(enemy level + 20 + 100), which matches the full formula (200 + 10×attacker level)/(EnemyDEF + 200 + 10×attacker level) ASSUMING your attacking character is Level 80 (the most common endgame benchmark). If your character isn't Level 80 yet, real in-game numbers will drift slightly from this simplified version.

The Break base constant (3767.5533 at Level 80) and its per-element coefficients were never officially published by HoYoverse — the entire community, including the largest optimizers, pulls them from ONE single origin: Fribbels hsr-optimizer's open-source code, unofficially treated as the community benchmark. Because there's only one source, this page explicitly labels them "per community source (Fribbels) + golden-test" rather than claiming official HoYoverse data — the golden-test (scripts/damage-test.mjs) is how you can always verify the formula still matches the published numbers.