User:SerpentofSet/HealthMath: Difference between revisions

Revision as of 16:27, 14 October 2024

Math

The formula for max health is:

$H P_{M a x} = (H P_{0} + N_{P I} \times P I_{H P}) \times (1 + \sum H P_{S h o p}) + \sum H P_{B o n u s}$

where $H P_{M a x}$ is max health, $H P_{0}$ is starting health, $N_{P I}$ is the number of Power Increases earned, $P I_{H P}$ is the hero-specific added base health from each power increase, $H P_{S h o p}$ are the implicit base health percent increases from Vitality items, and $H P_{B o n u s}$ are the miscellaneous bonus health flat increases from items, Golden Statues, Survival Powerups, the Rejuvenator, etc.

With the purchase of Glass Cannon, the player's max health is reduced by 15% after the above calculations.

Note that the max health presented in-game is rounded to the nearest integer.

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:

$H P_{M a x} = 600 \times (1 + (0.11 + 0.11)) + 160 = 892$

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

$H P_{M a x} = (600 + 50) \times (1 + (0.11 + 0.11)) + 160 = 953$

@@ Line 3: / Line 3: @@
 <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>
-where <math>HP_{Max}</math> is max health, <math>HP_0</math> is starting health, <math>PI</math> is the hero-specific [[Level#Power Increase Tables|Power Increase]] from each level, <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.
+where <math>HP_{Max}</math> is max health, <math>HP_0</math> is starting health, <math>N_{PI}</math> is the number of [[Level|Power Increases]] earned, <math>PI_{HP}</math> is the 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.