MapleStory/Formulas: Difference between revisions

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→‎Output: removed FDB to reduce confusion between final% and the useless inner ability
(→‎Output: removed FDB to reduce confusion between final% and the useless inner ability)
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;Legend
;Legend
*AD = Actual Damage Range (A random number within the Actual Damage Range, can go beyond 99,999,999 if possible)
*AD = Actual Damage Range (A random number within the Actual Damage Range, can go beyond 99,999,999 if possible)
*TD% = Total Damage %
*TD% = Total added "Damage %" '''(including NBD%)'''
*BD% = Damage towards Boss monsters %, or colloquially Boss Damage %
*BD% = Damage towards Boss monsters %, or colloquially Boss Damage %
*Final% = Total Final Damage %
*NBD% = Damage to Normal Monsters % '''(to be excluded when counting damage on boss monsters)'''
*Final% = Total '''multiplied''' "Final Damage %"
*CD% = Critical Damage % (A random number wihin the Critical Damage % Range only for Critical Hits. [[#Critical Damage|Critical Damage Stat %]] will increase this value. '''Damage Over Time and Summons cannot be critical''')
*CD% = Critical Damage % (A random number wihin the Critical Damage % Range only for Critical Hits. [[#Critical Damage|Critical Damage Stat %]] will increase this value. '''Damage Over Time and Summons cannot be critical''')
*FDB = Final Damage Boost (DEF to Final Damage Inner Ability)
*MD% = Monster DEF %
*MD% = Monster DEF %
*ID% = Ignore DEF % (The '''full''' multiplicative value is used)
*ID% = Ignore DEF % (The '''full''' multiplicative value is used)
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*Skills that increases damage '''multiplicatively''' are '''treated as Total Damage %''' and will add to TD% (including Hyper Reinforce Skills '''except Damage Over Time Hypers and Splitter Hypers''').
*Skills that increases damage '''multiplicatively''' are '''treated as Total Damage %''' and will add to TD% (including Hyper Reinforce Skills '''except Damage Over Time Hypers and Splitter Hypers''').
*Skills that increases damage '''multiplicatively''' and are '''multiplied last''' are '''treated as Final Damage %''' and will add towards Final %. It will increase the regular damage (before FDB) by the stated percentage. Multiple Final % sources are '''stacked multiplicatively with each other'''.
*Skills that increases damage '''multiplicatively''' and are '''multiplied last''' are '''treated as Final Damage %''' and will add towards Final %. It will increase the regular damage (before FDB) by the stated percentage. Multiple Final % sources are '''stacked multiplicatively with each other'''.
**Final Damage Boost refers to effects that add a small amount to the actual damage dealt (DEF to Damage Conversion Inner Abilities), applied '''after Final %'''.
*[[MapleStory/Inner Ability#DEF to Damage Conversion|DEF to Damage Conversion Inner Ability]] is applied (to everything '''except Damage over time''') additively '''after everything is calculated (not shown on formula)'''.
*All % in the above formulas are written '''in terms of decimals''' and are formulated into a numerical boost before rounded down. Multiple sources that provides the same boost are '''additive to each other (except for Final Damage %''', which stacks multiplicatively).
*All % in the above formulas are written '''in terms of decimals''' and are formulated into a numerical boost before rounded down. Multiple sources that provides the same boost are '''additive to each other (except for Final Damage %''', which stacks multiplicatively).


====Active Skills====
====Active Skills====
Skills include: Character summons '''(except Soul Weapon Summons)''', installed skills, attack skills.
Skills include: Character summons '''(except Soul Weapon Summons)''', installed skills, attack skills.
*'''Non-critical Hit Damage''' (on '''normal''' monsters): <math> [AD \times Skill% \times (1+TD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])+FDB</math>
*'''Non-critical Hit Damage''' (on '''normal''' monsters): <math> [AD \times Skill% \times (1+TD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])</math>
*'''Critical Hit Damage''' (on '''normal''' monsters): <math> [AD \times Skill% \times (1+TD%) \times (1+CD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])+FDB</math>
*'''Critical Hit Damage''' (on '''normal''' monsters): <math> [AD \times Skill% \times (1+TD%) \times (1+CD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])</math>
*'''Non-critical Hit Damage''' (on '''boss''' monsters): <math> [AD \times Skill% \times (1+TD%+BD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])+FDB</math>
*'''Non-critical Hit Damage''' (on '''boss''' monsters): <math> [AD \times Skill% \times (1+TD%+BD%-NBD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])</math>
*'''Critical Hit Damage''' (on '''boss''' monsters): <math> [AD \times Skill% \times (1+TD%+BD%) \times (1+CD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])+FDB</math>
*'''Critical Hit Damage''' (on '''boss''' monsters): <math> [AD \times Skill% \times (1+TD%+BD%-NBD%) \times (1+CD%)] \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])</math>


Note:
Note:
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====Damage Over Time====
====Damage Over Time====
Damage dealt is the '''same for normal and boss monsters''', it is '''subjected to magic damage nullification, elemental resistance and force map penalty (due to insufficient Force)''' but is '''not subjected to level difference, mastery and DEF'''. It '''cannot be critical and not affected by Damage %, Damage towards Boss monsters % and Final Damage'''.
Damage dealt is the '''same for normal and boss monsters''', it is '''subjected to magic damage nullification, elemental resistance and force map penalty (due to insufficient Force)''' but is '''not subjected to level difference, mastery and DEF'''. It '''cannot be critical and not affected by Damage %, Damage towards Boss monsters %, Damage to Normal Monsters % and Final Damage'''.
'''Damage over time Hyper Reinforce is <u>final damage multiplier</u>.'''
'''Damage over time Hyper Reinforce is <u>final damage multiplier</u>.'''
*'''Damage Over Time''': <math> ADmax \times Skill% \times (1+[MR \times (1-IR%)])</math>
*'''Damage Over Time''': <math> ADmax \times Skill% \times (1+[MR \times (1-IR%)])</math>
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====Soul Weapon Summons====
====Soul Weapon Summons====
Damage dealt is the '''same for normal and boss monsters''', it '''cannot be critical and not affected by Damage %, Damage towards Boss monsters % and final damage %''' but is '''affected by final damage boost (DEF to Damage Inner Ability)'''. Note that soul weapon summon uses the old accuracy system.
Damage dealt is the '''same for normal and boss monsters''', it '''cannot be critical and not affected by Damage %, Damage towards Boss monsters %, Damage to Normal Monsters % and final damage %''' but is '''affected by final damage boost (DEF to Damage Inner Ability)'''. Note that soul weapon summon uses the old accuracy system.
*'''Soul Weapon Summon Damage''': <math> AD/(1+Final%) \times Skill% \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)]) +FDB</math>
*'''Soul Weapon Summon Damage''': <math> AD/(1+Final%) \times Skill% \times (1-[MD% \times (1-ID%)]) \times (1+[MR \times (1-IR%)])</math>
*'''Hit Chance % (up to 100%)''': <math>100-2 \times (CharacterLevel - Monster Level)</math>
*'''Hit Chance % (up to 100%)''': <math>100-2 \times (CharacterLevel - Monster Level)</math>


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