User:DoctorOkay/Projects/Battle Mechanics - Revision history

DoctorOkay at 20:29, 25 May 2023

2023-05-25T20:29:16Z

← Older revision		Revision as of 20:29, 25 May 2023
Line 288:		Line 288:
	\|}		\|}
	** Critical Hit Damage = (Base Damage + fSTR) * Critical pDIF * (Sum of Direct Modifiers)		** Critical Hit Damage = (Base Damage + fSTR) * Critical pDIF * (Sum of Direct Modifiers)

			== The Basics (Melee) ==
			The result of an attack is basically the answer to two questions

			# Did the attack hit the enemy? and
			# If so, how much damage did I do?

			Naturally, the way that is figured out is very complex. Let's first set our sights on whether we even hit an enemy or not

			<code>hitRate = 75 + floor((self.accuracy - target.evasion) / 2) - 2 * (self.level - target.level)</code>

			This gives us an integer value that will be interpreted as a % chance to hit. Meaning that every time you swing you sword/axe/club/dagger/what-have-you, you'll hit <var>hitRate</var>% of the time.

			The actual mechanic of how this works is kind of irrelevant, but I believe that each individual attack is evaluated using something like the formula above and it just flips a bit on whether the character hits or not. <var>hitRate</var> is more of an abstraction than reflective of source code.

			Okay, so you've hit. Well done, I'm proud of you. How much damage did you do? Now... that's where things get a ''little'' bit messy.

			Starting simply, here is the formula for physical damage: <code>physicalDamage = baseDamage * pDIF</code>

			I wish I could say that <var>baseDamage</var> was the easy one to figure out, but sadly, no. It is calculated via a formula: <code>baseDamage = D + (aD) + fSTR</code>

			Let's go term by term here. <var>D</var> is the listed damage for the weapon you're currently swinging. Easy-peasy. <var>aD</var> is the "ammo damage" if you are using a ranged weapon. Since we are meleeing here, we can ignore it. Now on to <var>fSTR</var>...

			<var>fSTR</var> is well.... complicated? The first step in calculating <var>fSTR</var> is easy enough. That is simply: <code>dSTR = self.STR - target.VIT</code>. So then, depending on the value of <var>dSTR</var>, there are various calculations that can be made. Let's go to the table.

			{\| class="bdrdarkblue collapsable collapsed" width=25%
			! colspan="2" style="background: #ADD8E6; text-align: left;" \| ''<code style="background: none; border: 0;">fSTR = (dSTR + modifier)/4</code>''
			\|- style="text-align: left;"
			! <var>dSTR</var> \|\| <var>modifier</var>
			\|-
			\| <var>dSTR</var> >= 12 \|\| 4
			\|-
			\| 5 <= <var>dSTR</var> < 12 \|\| 6
			\|-
			\| 1 <= <var>dSTR</var> < 5 \|\| 7
			\|-
			\|-2 <= <var>dSTR</var> < 1 \|\| 8
			\|-
			\| -7 < <var>dSTR</var> < -2 \|\| 9
			\|-
			\| -15 <= <var>dSTR</var> < -7 \|\| 10
			\|-
			\| -21 <= <var>dSTR</var> < -15 \|\| 12
			\|-
			\| <var>dSTR</var> < -21 \|\| 13
			\|}

			There are also upper and lower bounds to <var>dSTR</var> to consider.

DoctorOkay at 18:55, 25 May 2023

2023-05-25T18:55:43Z

@@ Line 17: / Line 17: @@
 *** Formula 4: Corrected Damage = Uncorrected Damage × (100% -% Physical Damage Taken -% Damage Taken -% Burtgang || Epeolatry)
 ** Magical Damage Taken
 ***Formula 5: Magic Damage You Take = Floor( (Magic Damage you would have Taken)×(100% -% Magic Damage Taken -% Damage Taken) )÷( 1 + MDB÷100 )
 *** Formula 6: Magic Damage You Take = Floor( (Magic Damage you would have Taken)×(100% (-% Magic Damage Taken -% Damage Taken) -% Aegis Magic Damage Taken )÷( 1 + MDB÷100 ) )
@@ Line 180: / Line 182: @@
 ** Lower cap value at '''ΔSTR''' = -(7 + [[Weapon Rank]] x2) x2
 ** Upper cap value at '''ΔSTR''' = (14 + [[Weapon Rank]] x2) x2

DoctorOkay at 18:46, 25 May 2023

2023-05-25T18:46:26Z

← Older revision		Revision as of 18:46, 25 May 2023
Line 115:		Line 115:
	** tMDB = 1 + (target Magic Defense Bonus ÷ 100)		** tMDB = 1 + (target Magic Defense Bonus ÷ 100)
	** MAB/MDB = cMAB ÷ tMDB		** MAB/MDB = cMAB ÷ tMDB
			* [[FSTR]]
			{\| class=default1 style="max-width:300px; text-align:center" width="100%"
			! colspan="4" align="center"\|fSTR
			\|-
			! width="40%" align="left" valign="top"\| ΔSTR range
			! width="60%" align="Center"\| fSTR approximation
			\|-
			\| valign="top"\| 12 or greater
			\| align="center"\| ('''ΔSTR''' + 4) / 4
			\|-
			\| valign="top"\| 6 to 11
			\| align="center"\| ('''ΔSTR''' + 6) / 4
			\|-
			\| valign="top"\| 1 to 5
			\| align="center"\| ('''ΔSTR''' + 7) / 4
			\|-
			\| valign="top"\| -2 to 0
			\| align="center"\| ('''ΔSTR''' + 8) / 4
			\|-
			\| valign="top"\| -7 to -3
			\| align="center"\| ('''ΔSTR''' + 9) / 4
			\|-
			\| valign="top"\| -15 to -8
			\| align="center"\| ('''ΔSTR''' + 10) / 4
			\|-
			\| valign="top"\| -21 to -16
			\| align="center"\| ('''ΔSTR''' + 12) / 4
			\|-
			\| valign="top"\| -22 or less
			\| align="center"\| ('''ΔSTR''' + 13) / 4
			\|}
			** Lower cap value at '''ΔSTR''' = -(7 + [[Weapon Rank]] x2) x2
			* *Upper cap value at '''ΔSTR''' = (14 + [[Weapon Rank]] x2) x2.
			{\| class=default1 style="max-width:300px;"
			\|BGCOLOR="#cee0f2" colspan="4" align="center"\|'''fSTR2'''
			\|-
			\|BGCOLOR="#cee0f2" width="30%" align="left" valign="top"\| '''ΔSTR range'''
			\|BGCOLOR="#cee0f2" width="20%" align="Center"\| '''fSTR2 approximation'''
			\|-
			\| valign="top"\| 12 or greater
			\| align="center"\| ('''ΔSTR''' + 4) / 2
			\|-
			\| valign="top"\| 6 to 11
			\| align="center"\| ('''ΔSTR''' + 6) / 2
			\|-
			\| valign="top"\| 1 to 5
			\| align="center"\| ('''ΔSTR''' + 7) / 2
			\|-
			\| valign="top"\| -2 to 0
			\| align="center"\| ('''ΔSTR''' + 8) / 2
			\|-
			\| valign="top"\| -7 to -3
			\| align="center"\| ('''ΔSTR''' + 9) / 2
			\|-
			\| valign="top"\| -15 to -8
			\| align="center"\| ('''ΔSTR''' + 10) / 2
			\|-
			\| valign="top"\| -21 to -16
			\| align="center"\| ('''ΔSTR''' + 12) / 2
			\|-
			\| valign="top"\| -22 or less
			\| align="center"\| ('''ΔSTR''' + 13) / 2
			\|}
			** Lower cap value at '''ΔSTR''' = -(7 + [[Weapon Rank]] x2) x2
			** Upper cap value at '''ΔSTR''' = (14 + [[Weapon Rank]] x2) x2

DoctorOkay: Created page with "NOTOC This page is gonna be a working space for me to collect and centralize as many of the existing articles on FFXI Battle Mechanics and calculations in an effort to make a "simple" (lol) primer on mechanics for FFXI. == Pages With Formulas == * Cure Formula ** Final = floor(floor(floor((Base + JP + Raetic) × Cure Potency Equip) × Cure Received Equip) × Daywx) * Community Red Mage Guide ** '''Duration Formula:''' ((Spell base × Saboteur) + (6s × RDM..."

2023-05-25T18:40:55Z

Created page with "__NOTOC__ This page is gonna be a working space for me to collect and centralize as many of the existing articles on FFXI Battle Mechanics and calculations in an effort to make a "simple" (lol) primer on mechanics for FFXI. == Pages With Formulas == * Cure Formula ** Final = floor(floor(floor((Base + JP + Raetic) × Cure Potency Equip) × Cure Received Equip) × Daywx) * Community Red Mage Guide ** '''Duration Formula:''' ((Spell base × Saboteur) + (6s × RDM..."

New page

__NOTOC__

This page is gonna be a working space for me to collect and centralize as many of the existing articles on FFXI Battle Mechanics and calculations in an effort to make a "simple" (lol) primer on mechanics for FFXI.

== Pages With Formulas ==
* [[Cure Formula]]
** Final = floor(floor(floor((Base + JP + Raetic) × Cure Potency Equip) × Cure Received Equip) × Daywx)
* [[Community Red Mage Guide]]
** '''Duration Formula:''' ((Spell base × Saboteur) + (6s × RDM Group 2 Merit Point Level) + (3s × RDM Relic Head Group 2 Merit Point Level Augment) + RDM Enfeebling Job Points + RDM Stymie Job Points + Gear that list Seconds) × (Augments Composure Bonus) × (Duration listed on Gear) × (Duration Augments on Gear)
** '''Potency Formula:''' floor(floor((Base Potency × Saboteur) + {dStat Modifier}) × (Enfeebling Magic Effect+ Gear))
** '''Enhancing Duration Formula:''' (Base Duration + (6s × RDM Group 2 Merit Point Level) + (3s × RDM Relic Hands Group 2 Merit Point Level Augment) + RDM Job Points + Gear that list Seconds) × (Augments Composure Bonus) × (Duration listed on Gear + Naturalist's Roll) × (Duration Augments on Gear) × (Rune Fencer Gifts)
* [[Damage Taken]]
** Physical Damage Taken
*** Formula 1: Uncorrected Damage = (Monster Base Damage + Monster fSTR)×(Monster Average pDIF)
*** Formula 2: Corrected Damage = Uncorrected Damage × (100% -% Physical Damage Taken -% Damage Taken)
*** Formula 3: Shield Blocked Damage = Corrected Damage × (Base + Defense/200)Question
*** Formula 4: Corrected Damage = Uncorrected Damage × (100% -% Physical Damage Taken -% Damage Taken -% Burtgang || Epeolatry)
** Magical Damage Taken
***Formula 5: Magic Damage You Take = Floor( (Magic Damage you would have Taken)×(100% -% Magic Damage Taken -% Damage Taken) )÷( 1 + MDB÷100 )
*** Formula 6: Magic Damage You Take = Floor( (Magic Damage you would have Taken)×(100% (-% Magic Damage Taken -% Damage Taken) -% Aegis Magic Damage Taken )÷( 1 + MDB÷100 ) )
** Breath Damage Taken
*** Formula 7:Corrected Damage = (Breath Base Damage)×(1 -% Breath Damage Taken -% Damage Taken -%Augmented Magic Damage Taken)
** Killer Effects and Circles
*** Formula 8: Final Damage = Corrected Damage × (1 - Circle Bonus) × (1 - Intimidation Rate÷2)***
* [[Walz Efficiency]]
** HP/TP = HP Restored ÷ TP Spent = ( (User's CHR + Target's VIT)×M + B ) ÷ ( TP Base - TP Reduction )
** HP/Time = HP Restored ÷ Recast = ( (User's CHR + Target's VIT)×M + B ) ÷ ( Recast Base - Recast Reduction )
** HP/Time = HP Restored ÷ Recast = ( (User's CHR + Target's VIT)×M + B ) ÷ ( (Recast Base - Recast Reduction) × 0.8 )
* [[Monster TP Gain]]

{| border="1" cellpadding="0" cellspacing="0" BGCOLOR="#cee0f2" width="300px" BGCOLOR="#ffffff"
|BGCOLOR="#cee0f2" colspan="2" align="center"|'''Delay → Base TP Calculations'''
|- align="center"
|BGCOLOR="#cee0f2" width="40%" valign="top"| '''Modified Delay'''
|BGCOLOR="#cee0f2" width="60%" | '''TP gained'''
|- align="center"
| width="30%" valign="top" |  <180
| width="70%" | 50+((Delay-180){{math|times}}15){{math|divide}}180
|- align="center"
| width="30%" valign="top" |  180~450
| width="70%" | 50+((Delay-180){{math|times}}65){{math|divide}}270
|- align="center"
| width="30%" valign="top" |  450~480
| width="70%" | 115+((Delay-450){{math|times}}15){{math|divide}}30
|- align="center"
| width="30%" valign="top" |  480~530
| width="70%" | 130+((Delay-480){{math|times}}15){{math|divide}}30
|- align="center"
| width="30%" valign="top" |  >530
| width="70%" | 145+((Delay-530){{math|times}}35){{math|divide}}470
|}
** Monster TP gained per hit = floor( Base Monster TP × Inhibit TP' × dAGI × (1 - Subtle Blow÷100), .1) Note: There may actually be multiple flooring steps.
** dAGI = Player AGI - Monster AGI
** TP Modifier = 1-(dAGI+30)÷200
** TP Modifier = 1 - Subtle Blow÷100 - Subtle Blow II÷100
** TP Modifier = 1 - Inhibit TP÷100
* [[Cursna]]
** Doom Removal Rate = Base Rate * (1+(y/100)) Verification Needed
** Base Rate = (10+(Total Healing Magic Skill / 30))
** y = Total Cursna+ stat from gear
* [[Enmity]]
** CE gained = HP Restored × CE Modifier
** VE gained = 6 × CE gained
* [[Shield Skill]]
** PercentDamageBlocked = SizeDamageReduction + (ShieldDEF / ((max(ShieldItemLevel, 99) - 99) / 10 + 2))
** FinalDamageTaken = (IncomingBaseDamage - ShieldDefenseBonus) × (1 - PercentDamageBlocked/100) × (1 - PDT/100)
** BlockRate = SizeBaseBlockRate + ((ShieldSkill - AttackerCombatSkill) × 0.2325)
** AttackerSkill = ((-1 × (ActualBlockRate - SizeBaseBlockRate) ÷ 0.2325) + ShieldSkill
* [[Spell Recast]]
** Recast = (Initial Recast) × (1 - (Haste÷1024) + (Slow÷1024)) × Floor(Fast Cast% ÷ 2) × (Job Ability Modifier 1) × (Job Ability Modifier 2) × ...
* [[Tactical Points]]
{| border="1" cellpadding="0" cellspacing="0" BGCOLOR="#cee0f2" width="300px" BGCOLOR="#ffffff"
|BGCOLOR="#cee0f2" colspan="2" align="center"|'''Delay → TP calculation'''
|- align="center"
|BGCOLOR="#cee0f2" width="40%" valign="top"| '''Modified Delay'''
|BGCOLOR="#cee0f2" width="60%" | '''TP gained'''
|- align="center"
| width="30%" valign="top" |  {{math|le}}180
| width="70%" | 61+[(Delay-180){{math|times}}63{{math|divide}}360]
|- align="center"
| width="30%" valign="top" |  181~540
| width="70%" | 61+[(Delay-180){{math|times}}88{{math|divide}}360]
|- align="center"
| width="30%" valign="top" |  541~630
| width="70%" | 149+[(Delay-540){{math|times}}20{{math|divide}}360]
|- align="center"
| width="30%" valign="top" |  631~720
| width="70%" | 154+[(Delay-630){{math|times}}28{{math|divide}}360]
|- align="center"
| width="30%" valign="top" |  721~900
| width="70%" | 161+[(Delay-720){{math|times}}24{{math|divide}}360]
|- align="center"
| width="30%" valign="top" |  >901
| width="70%" | 173+[(Delay-900){{math|times}}28{{math|divide}}360]
|}
*[[Weapon Skill Damage]]
** Damage = Base Damage × pDIF
** Melee WS Base Damage = floor(( Weapon Base Damage + fSTR + WSC ) × fTP)
** Ranged WS Base Damage = floor(( Weapon Base Damage + (Ammo Damage) + fSTR(2) + WSC ) × fTP)
** WS Damage = WS Base Damage × pDIF
** Base Magical WS Damage = floor(((152 + floor((WeaponLevel - 99) × 2.45) + WSC) × fTP) + dSTAT + MDMG Stat)
** Base Magical WS Damage × (MAB / MDB) × WSD × WSD Boost JT × Weather+Day Bonus × Affinity × Weapon Skill Potency Bonus × Augmented Weapon Skill Potency Bonus × Staff × Potency Multipliers × Resist × Resistance Rank Reduction × TMDA
** Damage = (Base Damage × pDIF) + (Base Damage × pDIF × modifiers of magic damage)
* [[Hit Rate]]
** Hit Rate (%) = 75 + floor( (Accuracy - Evasion)÷2 ) - 2×(dLVL)
*** dLVL = Attacked Monster's Level - Attacking Player's Level
* [[Magic Damage]] (golden example)
** Damage Dealt = D × MTDR × Staff × Affinity × Resist × Resistance Rank Reduction × MB × MBB × Day & Weather × MAB/MDB × TMDA × Potency Multipliers
** D = mDMG + V + (dINT × M)
** dINT = 134: D = mDMG + V100 + (34 × M100-199)
** MTDR = 0.9 - 0.05T
** MB = 1.25 + (0.1 × X)
** MBB = 1.0 + Gear + Atma/Atmacite + AMII Merits + Trait
** cMAB = 1 + (caster Magic Attack Bonus ÷ 100)
** tMDB = 1 + (target Magic Defense Bonus ÷ 100)
** MAB/MDB = cMAB ÷ tMDB

← Older revision		Revision as of 18:46, 25 May 2023
Line 115:		Line 115:
	** tMDB = 1 + (target Magic Defense Bonus ÷ 100)		** tMDB = 1 + (target Magic Defense Bonus ÷ 100)
	** MAB/MDB = cMAB ÷ tMDB		** MAB/MDB = cMAB ÷ tMDB
			* [[FSTR]]
			{\| class=default1 style="max-width:300px; text-align:center" width="100%"
			! colspan="4" align="center"\|fSTR
			\|-
			! width="40%" align="left" valign="top"\| ΔSTR range
			! width="60%" align="Center"\| fSTR approximation
			\|-
			\| valign="top"\| 12 or greater
			\| align="center"\| ('''ΔSTR''' + 4) / 4
			\|-
			\| valign="top"\| 6 to 11
			\| align="center"\| ('''ΔSTR''' + 6) / 4
			\|-
			\| valign="top"\| 1 to 5
			\| align="center"\| ('''ΔSTR''' + 7) / 4
			\|-
			\| valign="top"\| -2 to 0
			\| align="center"\| ('''ΔSTR''' + 8) / 4
			\|-
			\| valign="top"\| -7 to -3
			\| align="center"\| ('''ΔSTR''' + 9) / 4
			\|-
			\| valign="top"\| -15 to -8
			\| align="center"\| ('''ΔSTR''' + 10) / 4
			\|-
			\| valign="top"\| -21 to -16
			\| align="center"\| ('''ΔSTR''' + 12) / 4
			\|-
			\| valign="top"\| -22 or less
			\| align="center"\| ('''ΔSTR''' + 13) / 4
			\|}
			** Lower cap value at '''ΔSTR''' = -(7 + [[Weapon Rank]] x2) x2
			* *Upper cap value at '''ΔSTR''' = (14 + [[Weapon Rank]] x2) x2.
			{\| class=default1 style="max-width:300px;"
			\|BGCOLOR="#cee0f2" colspan="4" align="center"\|'''fSTR2'''
			\|-
			\|BGCOLOR="#cee0f2" width="30%" align="left" valign="top"\| '''ΔSTR range'''
			\|BGCOLOR="#cee0f2" width="20%" align="Center"\| '''fSTR2 approximation'''
			\|-
			\| valign="top"\| 12 or greater
			\| align="center"\| ('''ΔSTR''' + 4) / 2
			\|-
			\| valign="top"\| 6 to 11
			\| align="center"\| ('''ΔSTR''' + 6) / 2
			\|-
			\| valign="top"\| 1 to 5
			\| align="center"\| ('''ΔSTR''' + 7) / 2
			\|-
			\| valign="top"\| -2 to 0
			\| align="center"\| ('''ΔSTR''' + 8) / 2
			\|-
			\| valign="top"\| -7 to -3
			\| align="center"\| ('''ΔSTR''' + 9) / 2
			\|-
			\| valign="top"\| -15 to -8
			\| align="center"\| ('''ΔSTR''' + 10) / 2
			\|-
			\| valign="top"\| -21 to -16
			\| align="center"\| ('''ΔSTR''' + 12) / 2
			\|-
			\| valign="top"\| -22 or less
			\| align="center"\| ('''ΔSTR''' + 13) / 2
			\|}
			** Lower cap value at '''ΔSTR''' = -(7 + [[Weapon Rank]] x2) x2
			** Upper cap value at '''ΔSTR''' = (14 + [[Weapon Rank]] x2) x2