Editing User:SerpentofSet/HealthMath

== Math ==
The formula for max health is: 

<math>
HP_{Max} = \left\lceil \left( HP_0 + \text{Level} \times PI \right) \times (1 + \textstyle\sum HP_{Shop} ) + \textstyle\sum HP_{Bonus} \right\rceil
</math>

where HP<sub>Max</sub> is max health, HP<sub>0</sub> is starting health, PI is the hero-specific [[Level#Power Increase Tables|Power Increase]] from each level, HP<sub>Shop</sub> are the implicit base health percent increases from [[Vitality]] items, and HP<sub>Bonus</sub> are the miscellaneous bonus health flat increases from items, [[Golden Statue|Golden Statues]], [[Powerup Buff|Survival Powerups]], the [[Rejuvenator]], etc.

With the purchase of [[Glass Cannon]], the player's max health is reduced by 15% before rounding down.

===Example===
[[Kelvin]] begins the game with 600 Base HP. If Kelvin purchases the tier 1 vitality items [[Extra Health]] and [[Extra Stamina]], the first of which also grants 160 bonus health, his max health becomes:

HP<sub>Max</sub> = 600 * (1 + (0.11 + 0.11)) + 160 = 892

If Kelvin then earns a power increase, his base health increases by 50, and his max health becomes:

HP<sub>Max</sub> = 650 * (1 + (0.11 + 0.11)) + 160 = 953