Unit vs unit calculator

One hit = damage × (1 + damage upgrade) × every multiplier matching the target's types × (1 − the target's resist to that damage type). Two ranged units trade shots; against a unit with no ranged attack the better of ranged and melee is used. Damage per second = hit ÷ seconds between attacks.

Armies: A wins when damage per second × hit points × count² is larger (square law); the winner keeps √(its count² − the loser's count² × the loser's strength ÷ its own). Not modelled: range and speed, area damage, formations and abilities.