User:SerpentofSet/HealthMath: Difference between revisions

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== Math ==
== Math ==
The formula for max health is:  
The formula for max health <math>HP_{Max}</math> is:  


<math>
<math>
HP_{Max} = \left( HP_0 + \text{Level} \times PI \right) \times (1 + \textstyle\sum HP_{Shop} ) + \textstyle\sum HP_{Bonus}
HP_{Max} = \left( HP_0 + N_{PI} \times PI_{HP} \right) \times (1 + \textstyle\sum HP_{Shop} ) + \textstyle\sum HP_{Bonus}
</math>
</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.
where <math>HP_0</math> is hero-specific starting health, <math>N_{PI}</math> is the number of [[Level|Power Increases]] earned, <math>PI_{HP}</math> is hero-specific added base health from each power increase, <math>HP_{Shop}</math> are the implicit base health percent increases from [[Vitality]] items, and <math>HP_{Bonus}</math> 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% after the above calculations.
With the purchase of [[Glass Cannon]], the player's max health is reduced by 15% after the above calculations.
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[[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:
[[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
<math>HP_{Max} = 600 \times (1 + (0.11 + 0.11)) + 160 = 892</math>


If Kelvin then earns a power increase, his base health increases by 50, and his max health becomes:
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
<math>HP_{Max} = (600 + 50) \times (1 + (0.11 + 0.11)) + 160 = 953</math>