Guide:Armour calculations: Difference between revisions
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{{Guide|subject=calculating armour values}} | |||
This page explains how to calculate [[armour]] values. | |||
== Calculating the formulas == | == Calculating the formulas == | ||
Let the following be: | Let the following be: | ||
{{math|\begin{align} | {{math|formula= | ||
\begin{align} | |||
DR & \text{ the damage reduction factor} & DR & \in \mathbb{R}\\ | DR & \text{ the damage reduction factor} & DR & \in \mathbb{R}\\ | ||
A & \text{ the | A & \text{ the armour rating the defender has} & A & \in \mathbb{N}^+ \\ | ||
D_{raw} & \text{ the raw damage dealt} & D_{raw} & \in \mathbb{N}^+\\ | D_{raw} & \text{ the raw damage dealt} & D_{raw} & \in \mathbb{N}^+\\ | ||
D_{net} & \text{ the damage dealt after reduction} & D_{net} & \in \mathbb{R}^+\\ | D_{net} & \text{ the damage dealt after reduction} & D_{net} & \in \mathbb{R}^+\\ | ||
\end{align} }} | \end{align} | ||
}} | |||
==DR Formula== | ==DR Formula== | ||
{{math| | {{math|formula= | ||
DR(A, D_{raw}) = {A \over A + 5 * D_{raw} } | |||
}} | |||
===Resolved for Raw Damage=== | ===Resolved for Raw Damage=== | ||
{{math| | {{math|formula= | ||
DR & = {A \over A + | \begin{align} | ||
DR * (A + | DR & = {A \over A + 5 * D_{raw} } \\ | ||
A + | DR * (A + 5 * D_{raw}) & = A \\ | ||
A + 5 * D_{raw} & = {A \over DR} \\ | |||
D_{raw} & = { {A \over DR} - A \over | 5 * D_{raw} & = {A \over DR} - A \\ | ||
D_{raw} & = {A \over | D_{raw} & = { {A \over DR} - A \over 5} \\ | ||
\end{align} }} | D_{raw} & = {A \over 5 * DR} - {A \over 5} | ||
\end{align} | |||
}} | |||
====Final result for raw damage==== | ====Final result for raw damage==== | ||
{{math| | {{math|formula= | ||
D_{raw}(A, DR) = {A \over 5 * DR} - {A \over 5} | |||
}} | |||
===Resolved for Armour=== | ===Resolved for Armour=== | ||
{{math| | {{math|formula= | ||
DR & = {A \over A + | \begin{align} | ||
DR * (A + | DR & = {A \over A + 5 * D_{raw} } \\ | ||
DR * A + DR * | DR * (A + 5 * D_{raw}) & = A \\ | ||
DR * | DR * A + DR * 5 * D_{raw} & = A \\ | ||
DR * | DR * 5 * D_{raw} & = A - DR * A \\ | ||
{DR * | DR * 5 * D_{raw} & = A * (1 - DR) \\ | ||
\end{align} }} | {DR * 5 * D_{raw} \over 1 - DR} & = A | ||
\end{align} | |||
}} | |||
====Final result for armour==== | ====Final result for armour==== | ||
{{math| | {{math|formula= | ||
A(D_{raw}, DR) = {DR * 5 * D_{raw} \over 1 - DR} | |||
}} | |||
==Net Damage formula== | ==Net Damage formula== | ||
===Based on DR=== | ===Based on DR=== | ||
{{math| | {{math|formula= | ||
D_{net}(A, D_{raw}) = D_{raw} - D_{raw} * DR(A, D_{raw}) | |||
}} | |||
===Eliminating DR=== | ===Eliminating DR=== | ||
{{math| | {{math|formula= | ||
\begin{align} | |||
D_{net}& = D_{raw} - D_{raw} * DR \\ | D_{net}& = D_{raw} - D_{raw} * DR \\ | ||
D_{net} & = D_{raw} - D_{raw} * {A \over A + | D_{net} & = D_{raw} - D_{raw} * {A \over A + 5 * D_{raw} } \\ | ||
D_{net} * (A + | D_{net} * (A + 5 * D_{raw}) & = D_{raw}*(A + 5 * D_{raw}) - D_{raw} * A \\ | ||
D_{net} * (A + | D_{net} * (A + 5 * D_{raw}) & = 5 * {D_{raw} }^2 \\ | ||
D_{net} & = { | D_{net} & = {5 * {D_{raw} }^2 \over A + 5 * D_{raw} } | ||
\end{align} }} | \end{align} | ||
}} | |||
===Final result=== | ===Final result=== | ||
{{math| | {{math|formula= | ||
D_{net}(A, D_{raw}) = {5 * {D_{raw} }^2 \over A + 5 * D_{raw} } | |||
}} | |||
==Defense Factor formula== | ==Defense Factor formula== | ||
===Base Formula=== | ===Base Formula=== | ||
{{math| | {{math|formula= | ||
DF(D_{net}, D_{raw}) = {D_{raw} \over D_{net} } | |||
}} | |||
===Eliminating Net Damage=== | ===Eliminating Net Damage=== | ||
{{math| | {{math|formula= | ||
\begin{align} | |||
DF & = {D_{raw} \over D_{net} } \\ | DF & = {D_{raw} \over D_{net} } \\ | ||
DF & = {D_{raw} \over { | DF & = {D_{raw} \over {5 * {D_{raw} }^2 \over A + 5 * D_{raw} } } \\ | ||
DF & = {D_{raw} * (A + | DF & = {D_{raw} * (A + 5 * D_{raw}) \over 5 * {D_{raw} }^2} \\ | ||
DF & = {A + | DF & = {A + 5 * D_{raw} \over 5 * D_{raw} } \\ | ||
DF & = {A \over | DF & = {A \over 5 * D_{raw} } + 1 \\ | ||
\end{align} }} | \end{align} | ||
}} | |||
===Final result=== | ===Final result=== | ||
{{math| | {{math|formula= | ||
DF(A, D_{raw}) = {A \over 5 * D_{raw} } + 1 | |||
}} | |||
[[de:Rüstung/Mathematik]] | |||
[[ru:Броня/подсчёт]] |
Latest revision as of 14:06, 27 March 2024
This is a guide on the subject of calculating armour values.
Last updated on March 27, 2024.
This page explains how to calculate armour values.
Calculating the formulas
Let the following be:
DR Formula
Resolved for Raw Damage
Final result for raw damage
Resolved for Armour
Final result for armour
Net Damage formula
Based on DR
Eliminating DR
Final result
Defense Factor formula
Base Formula
Eliminating Net Damage
Final result