Health: Difference between revisions

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== Math ==

The formula for max health ~~is:~~ <math>HP_{~~max} = \left\lceil \left ( [(HP_{STARTING} + lvl * PI) * (1 + \sum_{i=1}^n \text{Shop Bonus})] + \sum_{i=1}^n \text{BonusHealth} + \sum_{i=1}^n \text{Golden Statues~~} ~~+ PUB + Rejuv \right ) * GC \right\rceil~~</math>~~<br/>~~

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

~~where:<br/>~~

<math>

~~\begin{align}~~

HP_{Max} = \left( HP_0 + N_{PI} \times PI_{HP} \right) \times (1 + \textstyle\sum HP_{Shop} ) + \textstyle\sum HP_{Bonus}

HP_~~{max} &= \text~~{Max ~~Health,} \\~~

~~HP_{STARTING} &= \text{Starting Health,~~} \\

~~lvl &~~= \~~text~~{~~Level,} \\~~

PI ~~&= \text{Power Increase,~~} \\

~~Shop Bonus &= \text~~{~~Increase based on the tier,~~} \\

~~BonusHealth &=~~ \~~text{Increase from item,}~~ \\

~~Golden Statues &= \text~~{~~Increase from Golden Statues,~~} \\

~~PUB &= \text~~{~~400~~ Bonus ~~Health from Powerup Buff,} \\~~

~~Rejuv &= \text{200 Bonus Health from Rejuvenation Credit,} \\~~

~~GC &= -15% \text{Max Health from Glass Cannon} \\~~

~~\end{align~~}

</math>

~~=== Example ===~~

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.

[[~~Kelvin~~]] ~~begins~~ the ~~game with 600 Base HP. If Kelvin picks up~~ [[~~Extra Health~~]] and [[~~Extra Stamina~~]], ~~and then earns a~~ [[~~Level#Power Increases~~|~~power increase~~]], the ~~HP increase may be broken down the following way:~~

~~600 Base HP~~, ~~600 Max HP + (Extra Health: (600 * 0~~.~~11) + 160) =~~

~~600 Base HP~~, ~~826 Max HP + (Extra Stamina: (600 * 0~~.~~11)) =~~

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

~~600 Base HP, 892 Max HP~~

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

~~If we add to~~ the 600 Base HP ~~another 50 Base HP from~~ the ~~first power increase~~ and ~~recalculate~~ the ~~item formulas~~:

===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:

(~~Extra Health:~~ (650 * 0.11) + 160) =

<math>HP_{Max} = 600 \times (1 + (0.11 + 0.11)) + 160 = 892</math>

~~650 Base HP~~, ~~881.5 Max HP + (Extra Stamina~~: ~~(650 * 0.11)) =~~

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

~~650 Base HP,~~ 953 ~~Max HP~~

<math>HP_{Max} = (600 + 50) \times (1 + (0.11 + 0.11)) + 160 = 953</math>

== Health Bars ==

@@ Line 89: / Line 89: @@
 == Math ==
-The formula for max health is: <math>HP_{max} = \left\lceil \left ( [(HP_{STARTING} + lvl * PI) * (1 + \sum_{i=1}^n \text{Shop Bonus})] + \sum_{i=1}^n \text{BonusHealth} + \sum_{i=1}^n \text{Golden Statues} + PUB + Rejuv \right ) * GC \right\rceil</math><br/>
+The formula for max health <math>HP_{Max}</math> is:
-where:<br/>
 <math>
-\begin{align}
+HP_{Max} = \left( HP_0 + N_{PI} \times PI_{HP} \right) \times (1 + \textstyle\sum HP_{Shop} ) + \textstyle\sum HP_{Bonus}
-  HP_{max} &= \text{Max Health,} \\
-  HP_{STARTING} &= \text{Starting Health,} \\
-  lvl &= \text{Level,} \\
-  PI &= \text{Power Increase,} \\
-  Shop Bonus &= \text{Increase based on the tier,} \\
-  BonusHealth &= \text{Increase from item,} \\
-  Golden Statues &= \text{Increase from Golden Statues,} \\
-  PUB &= \text{400 Bonus Health from Powerup Buff,} \\
-  Rejuv &= \text{200 Bonus Health from Rejuvenation Credit,} \\
-  GC &=  -15% \text{Max Health from Glass Cannon} \\
-\end{align}
 </math>
-=== Example ===
+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.
-[[Kelvin]] begins the game with 600 Base HP. If Kelvin picks up [[Extra Health]] and [[Extra Stamina]], and then earns a [[Level#Power Increases|power increase]], the HP increase may be broken down the following way:
-Base HP, 600 Max HP + (Extra Health: (600 * 0.11) + 160) =
-Base HP, 826 Max HP + (Extra Stamina: (600 * 0.11)) =
+With the purchase of [[Glass Cannon]], the player's max health is reduced by 15% after the above calculations.
-Base HP, 892 Max HP
+Note that the max health presented in-game is rounded to the nearest integer.
-If we add to the 600 Base HP another 50 Base HP from the first power increase and recalculate the item formulas:
+===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:
-(Extra Health: (650 * 0.11) + 160) =
+<math>HP_{Max} = 600 \times (1 + (0.11 + 0.11)) + 160 = 892</math>
-Base HP, 881.5 Max HP + (Extra Stamina: (650 * 0.11)) =
+If Kelvin then earns a power increase, his base health increases by 50, and his max health becomes:
-Base HP, 953 Max HP
+<math>HP_{Max} = (600 + 50) \times (1 + (0.11 + 0.11)) + 160 = 953</math>
 == Health Bars ==