Thursday, May 2, 2013

Damage Calculator Tool & Formula Compendium

Author : Alanwill                                                  Damage Calculator Tool Author : gc2012


Note: Mobile device users, please use "web or desktop version" to view the formulae correctly. The mobile version has some comparability issues. Sorry for the inconvenience.


Universal Damage Equation : \[Damage(\Delta )\text{ }\!\!~\!\!\text{ }=\left[ \left( A|W \right)\text{* }\!\!~\!\!\text{ }\left( \text{ }\!\!~\!\!\text{ }1\text{+k}+B \right)\text{*X} \right]-\left[ \text{ }\!\!~\!\!\text{ }\frac{\left( D|w \right)\text{*}\left( \text{ }\!\!~\!\!\text{ }1+b \right)}{2} \right]\] Universal Tanking Equation : \[H=h-(\Delta |M)\]

Legend
Δ
Damage
|
OR (Either one at a time only)
A
Attack of the attacking side
W
Wisdom of the attacking side
D
Defense of the defending side
w
Wisdom of the defending side
B
Self Buffs of attacking side or DeBuff applied by defending side on the attacking side
b
Self Buffs of defending side or DeBuff applied by attacking side on the defending side
X
Elemental Outcome (Critical/Blocked/Normal)
k
Skill Level Multiplier
H
HP Remaining of the card after sustaining the damage
h
Original HP of the card being before sustaining the damage
M
MP remaining of the card self destructing


Skill Level ( k )
Skill+1
0.065
Skill+2
0.12
Skill+3
0.25
Skill+4
0.5
Normal Hit
0
Last Stand
0
Quick Strike
-0.15
 
Elemental Outcome ( X )
Critical Element
1.15
Blocked Element
0.85
Neutral Element/Physical Attack
1
Buffs/Debuffs( B , b )
Stat+10%
0.1
Stat+20%
0.2
Stat+25%
0.25
Enemy Stat-20%
-0.2

Given above are the universal damage and tanking equations. For particular cases, the analysis has been provided below

Physical Damage
Physical Damage is done using Physical+1,2,3,4 skills. For physical attacks, the stat that controls the damage dealt is the "Attack" stat. The Stat that controls the tanking(damage sustaining) ability of the defending card is based on the "Defense" stat. Only Atk and Def buffs/debuffs are applied to the damage equation. Skill Level is mulitplier 'k' is chosen based on the level of the skill from the table above. For all Physical attacks, the Elemental Outcome 'X' is always unity.

Thus,W=0, w=0, X=1

Physical Damage Equation : \[\Delta \text{ }\!\!~\!\!\text{ }=\left[ \left( A \right)\text{* }\!\!~\!\!\text{ }\left( \text{ }\!\!~\!\!\text{ }1\text{+k}+B \right)\text{*X} \right]-\left[ \text{ }\!\!~\!\!\text{ }\frac{\left( D \right)\text{*}\left( \text{ }\!\!~\!\!\text{ }1+b \right)}{2} \right]\]

If the remaining HP (H) > 0 after sustaining damage, then the card Tanks the attacks and survives. However, if H < 0 then the card is killed.

Elemental Damage
Elemental Damage is done using Elemental+1,2,3,4 skills. For Elemental attacks, the stat that controls the damage dealt is the "Wisdom" stat. The Stat that controls the tanking(damage sustaining) ability of the defending card is also based on the "Wisdom" stat. Only Wis buffs/debuffs are applied to the damage equation. Skill Level is multiplier 'k' is chosen based on the level of the skill from the table above.
For any elemental attack, the element of the offense skill and the innate element of the defending card, play a vital role in determining the outcome of the actual elemental damage dealt. 
If the chosen skill element is critical to the innate element of the defending card, the damage is Critical and X=1.15
If the chosen skill element is blocked by the innate element of the defending card, the damage is Blocked and X=0.85
If the chosen skill element is independent of the innate element of the defending card, that is, it is neutral, then X=1  

Thus, A=0, D=0 

Elemental Damage Equation : \[\Delta \text{ }\!\!~\!\!\text{ }=\left[ \left( W \right)\text{* }\!\!~\!\!\text{ }\left( \text{ }\!\!~\!\!\text{ }1\text{+k}+B \right)\text{*X} \right]-\left[ \text{ }\!\!~\!\!\text{ }\frac{\left( w \right)\text{*}\left( \text{ }\!\!~\!\!\text{ }1+b \right)}{2} \right]\]

If the remaining HP (H) > 0 after sustaining damage, then the card Tanks the attacks and survives. However, if H < 0 then the card is killed.

Normal Shot/Last Stand
Normal/Last Stand Damage is done without using any skill. For normal attack and Last Stand attack, the stat that controls the damage dealt is the "Attack" stat. The Stat that controls the tanking(damage sustaining) ability of the defending card is based on the "Defense" stat. Only Atk and Def buffs/debuffs are applied to the damage equation. However, the skill level multiplier is fixed at zero. Normal Shot and Last Stand are considered as Physical Attacks

Thus, X=1, k=0

Normal Shot/Last Stand Damage Equation : \[\Delta \text{ }\!\!~\!\!\text{ }=\left[ \left( A \right)*\left( \text{ }\!\!~\!\!\text{ }1+B \right) \right]-\left[ \text{ }\!\!~\!\!\text{ }\frac{\left( D \right)\text{*}\left( \text{ }\!\!~\!\!\text{ }1+b \right)}{2} \right]\]

If the remaining HP (H) > 0 after sustaining damage, then the card Tanks the attacks and survives. However, if H < 0 then the card is killed.
Normal Shot is used if a card has run out of MP or lacks any damage skills. Last Stand is a chance based skill that may or may not activate upon the death of the card. The damage done by Last Stand is the same as a normal shot.

Quick Strike Damage
Quick Strike Damage is done without using any skill. For Quick Strike attack, the stat that controls the damage dealt is the "Attack" stat. The Stat that controls the tanking(damage sustaining) ability of the defending card is based on the "Defense" stat. No buffs/debuffs are applied to the damage equation. However, the skill level multiplier 'k' is fixed at -0.15. That implies that the attack stat damage is reduced to 0.85 times its original value.

Thus, B=0, b=0, X=1, k=0

Quick Strike Damage Equation : \[\Delta \text{ }\!\!~\!\!\text{ }=\left[ \left( A \right)\text{* }\!\!~\!\!\text{ (0}\text{.85)} \right]-\left[ \text{ }\!\!~\!\!\text{ }\frac{\left( D \right)}{2} \right]\]

If the remaining HP (H) > 0 after sustaining damage, then the card Tanks the attacks and survives. However, if H < 0 then the card is killed.
Quick Strike always activates as soon as the card enters the battle. It is unavoidable and always successful. 

Self Destruct Damage
Self Destruction damage is done using the remaining MP upon the death of the card. The damage dealt is equal to the MP remaining on the card that was killed. Self Destruction is however a chance based skill and its success if not always guaranteed. Self Destruction damage is independent of any buffs/debuffs, skills etc. For Self Destruct, the damage is independent of Δ

Self Destruction Equation : \[H=h-M\]


If the remaining HP (H) > 0 after sustaining damage, then the card Tanks the attacks and survives. However, if H < 0 then the card is killed.
Self Destruct activates only after the death of the card. If the last card in the deck has Self destruct which activates and kills the card of your opponents deck as well, then you automatically win the battle.







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