War Math

Every formula a clan war uses, with the current numbers.

Hit damage#

damage = 15 \times {1.5}^{streak} \times {(\frac{their skill}{your skill})}^{1}

With no score on the map it's times 0.35. A hit never takes more than the guard they have left.

	Value	Meaning
Base damage	15	A first hit between equal players
Escalation	1.5	Each hit already landed on them since their guard came back multiplies the next one
Streak		Hits on that player from anyone since their guard last came back. Chips never count
Skill		Overall skill level from the profile, never lower than 1
Disparity exponent	1	Someone at twice your skill takes double. Half your skill takes half
No-score multiplier	0.35	They have no score on the map

Chip damage#

chip = 3 \times (1 - \frac{gap}{0.3}) \times {\min (1, \frac{your skill}{their skill})}^{2}

	Value	Meaning
Gap		How far your accuracy is from theirs on the accuracy curve. 99% to 99.5% counts the same as 90% to 95% because the top end is harder
Chip window	0.3	You only chip inside it
Chip skill exponent	2	Weaker players chip a lot less

Standing on a break#

standing = team stake \times 0.5 \times roster weight \times {0.75}^{breaks before} \times risk

Team stake is their team's full stake. It can't move more than what's left in their clan's slice. Your clan gets that amount times their team's engagement.

	Value	Meaning
Break share	0.5	Breaking every player on a team once moves half that team's stake
Roster weight		Their share of their team's strength. Stronger players count for more
Break decay	0.75	Each repeat break on the same player moves 25% less
Risk	1 or 0.3	1 for the two lead clans, 0.3 for allies

Engagement#

engagement = \min (1, \frac{share who played}{0.5})

Share who played is how much of the team played a ranked map in the 14 days before the war started. A normal clan sits at 1.

XP#

break XP = 50 \times engagement \times your damage share

contribution = damage + 50 \times breaks helped

end-of-war XP = 0.2 \times contribution \times their engagement

Your clan gets 6 clan XP per break times engagement. The winning team gets 345 clan XP split by slice, times the losers' engagement.

	Value	Meaning
Break XP	50	Split by damage between everyone who hit or chipped them since their guard came back
Break contribution	50	Added to your contribution for every break you helped with
XP per contribution	0.2	End-of-war XP for each point of contribution
Clan XP per break	6	Goes to the clan that got the break
Win clan XP	345	Split between the winning clans by their slice of the stake

Berserker size share#

size share = {(\frac{your team size}{their team size})}^{0.6}

It only scales what you get out of Berserker. Damage stays the same.

An example#

Two players with the same skill keep hitting one guy. The hits do 15, 22.5 and 33.75. The 4th would do 50.6. He only has 28.75 left. That hit breaks him. With no score on the map, the first hit would be 15 × 0.35 = 5.25.