Editing Great Weapon Fighting

{{Passive feature page
| summary = '''Great Weapon Fighting''' is a [[Fighting Style]] passive feature.
| description = When you roll a 1 or 2 on a damage die for an attack with a [[Two-Handed]] melee weapon, that die is rerolled once.
| image = Great Weapon Fighting.webp
| icon = Great Weapon Fighting Icon.webp
| additional = 
| condition = 
| condition duration = 
| condition save = 
| class learns at level 1 = Fighter
| class learns at level 2 = Paladin
| notes =
* This also applies to [[Versatile]] weapons when off-hand is empty.
* Unlike in 5th Edition rules, added damage dice from sources like [[Battle Master|Superiority Dice]], {{SAI|Divine Smite}}, and a {{Area|Fire (surface)}} or {{Area|Simple Toxin (surface)}}-dipped weapon may also be rerolled.
* This feature increases the average of a "Dx" (a dice with x sides) by 1 - 2/x, e.g. by 0.5 for a D4, by 0.833... for a D12, and so on.
* When used in combination with [[Savage Attacker]], Great Weapon Fighting is applied before selecting the highest damage roll.
}}
==Math==
=== Average bonus damage of Great Weapon Fighting alone ===
{| class="wikitable"
|+Average bonus damage per dice rolled
|-
! Damage dice !! Average bonus damage !! Average damage roll
|-
|1d4||0.50||3
|-
|1d6||0.67||4.17
|-
|1d8||0.75||5.25
|-
|1d10||0.8||6.30
|-
|1d12||0.83||7.33
|-
|2d6||1.33||8.33
|}
If we compare to the 2 bonus damage of [[Duelling]] fighting style, at least a few damage dice need to be rolled for this feat to be equivalent or better. For example using the [[Halberd of Vigilance]] dipped in fire, this feat would on average add 2 x 0.5 + 0.8 = 1.8 bonus damage. If it is a critical strike it would add 3.6 bonus damage on average.

=== Average bonus damage of Great Weapon Fighting with [[Savage Attacker]] (or [[Brace_(Melee)|Brace]]) ===
{| class="wikitable"
|+Average bonus damage per dice rolled
|-
! Damage dice !! Average bonus damage !! Average damage roll !! Average bonus damage added by Great Weapon Fighting !! Average bonus damage added by Savage Attacker
|-
|1d4||0.88||3.38||0.25||0.38
|-
|1d6||1.27||4.77||0.30||0.60
|-
|1d8||1.63||6.13||0.31||0.88
|-
|1d10||1.97||7.47||0.32||1.17
|-
|1d12||2.31||8.81||0.32||1.48
|-
|2d6||2.54||9.54||0.59||1.20
|}
Comparing with the 2 bonus damage of [[Duelling]] fighting style, at least 6 damage dice need to be rolled to be equivalent or better.

This fighting style is less efficient when used in combination with [[Savage Attacker]] but it can still be worth taking if :
* Many damage dice are rolled, which can be achieved with e.g [[Divine Strike]] and/or when building characters based on [[Critical_hit|Critical Strikes]].
* Someone wants to take another feat than Savage Attacker whose efficiency is slightly reduced by using Great Weapon Fighting instead (0.25 to 0.5 less bonus average damage, or 50% to 25% less bonus average damage for a d4 to d12 die)
* There are no better fighting style to pick anyway.

=== Average bonus damage of Great Weapon Fighting with [[Savage Attacker]] and [[Brace_(Melee)|Brace]] ===
This feat average bonus damage is even lower when used with Brace and Savage Attacker : ~0.16 damage / die. However Brace can only be used once per short rest so it could still be worth taking.

==External Links==
*[https://docs.google.com/spreadsheets/d/1ebI3SACmQFpC82tSN5UOQEI4HwizHDOPZDofTJqh9Hs/edit#gid=781019269 Savage Attacker and Great Weapon Fighting calculations] by Kalaeman

[[Category:Fighting styles]]