Editing Great Weapon Fighting

{{ up to date | 2023-09-22 }} <!-- Date format is YEAR-MONTH-DAY, like 2023-08-07. -->{{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
| additional = 
| condition = 
| condition duration = 
| condition save = 
| class learns at level 1 = Fighter
| class learns at level 2 = Paladin
| used by creatures = Flaming Fist Guisarmier, Oathbreaker Knight, Ulder Ravengard, Watchman, Zealot of the Absolute
| 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 [[Fire Surface|Fire]]- or [[Basic Poison|Poison]]-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 !! Avg bonus damage difference from Savage Attacker alone !! Avg bonus damage difference from Great Weapon Fighting alone
|-
|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]] ===
{| class="wikitable"
|+Average bonus damage per dice rolled
|-
! Damage dice !! Average bonus damage !! Average damage roll !! Avg bonus damage difference from Savage Attacker + Brace
|-
|1d4||1.02||3.52||0.08
|-
|1d6||1.43||4.93||0.06
|-
|1d8||1.82||6.32||0.05
|-
|1d10||2.20||7.70||0.04
|-
|1d12||2.58||9.08||0.04
|-
|2d6||2.86||9.86||0.13
|}
This feat average bonus damage becomes almost negligible when used with Brace and Savage Attacker but 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]]