[Guide] Intermediate Magic Damage and Their Math
Posted: Sat Jan 14, 2012 2:00 pm
Magic have gone through some major changes in the past couple patches, it's a good idea for player who want to take the path of magic to check on how the skills have been changed.
This guide will take a look into damage calculation for the intermediate magic: Fireball, Ice Spear, Thunder.
Ice Spear /Fireball / Thunder Reduced Damage Formula:
Base Damage * Int Elemental Bonus * Upgrade Bonus * 1.1 (* Thunder Bonus)
Base Damage: = Skill Damage * Stack Bonus * (1 + S Upgrade Bonus).
Skill Damage = Damage Shown on Skill Rank.
Stack Bonus = Charge Count (For Ice Spear and Fireball up to 5, Thunder hits are counted separately).
S Upgrade Bonus = S Upgrade %, 10% mean 0.1.
Int Elemental Bonus: = 1 + Elemental Mastery Bonus + Elemental Master Title Bonus + Int Bonus + Magic Attack Enchant Bonus/100.
Elemental Mastery Bonus = Elemental mastery skill rank bonus, rank 1 is 15% or 0.15 for respective elemental magic.
Elemental Master Title Bonus = Elemental master title bonus, 10% bonus or 0.1.
Int Bonus = Magic Attack Stats/100, which is Floor(Int/20/100).
Magic Attack Enchant Bonus = Magic Attack stat gained from enchants.
Upgrade Bonus: = 1 + Magic Master Title Bonus + Wand/Staff Upgrade Bonus.
Magic Master Title Bonus = Master Title for Magic Mastery.
Wand/Staff Upgrade Bonus = Magic Damage increased from upgrading, 10% or 0.1.
Thunder Bonus: = 150% for 1~4 charge's final bolt, 200% for 5 charge's final bolt. Applicable only to Thunder, for other magic value = 100% or 1.
Expanded Version:
[Skill Damage * Stack Bonus * (1 + S Upgrade Bonus)] * [1 + Elemental Mastery Bonus + Elemental Master Title Bonus + Int Bonus + Magic Attack Enchant Bonus/100] * [1 + Magic Master Title Bonus + Wand/Staff Upgrade Bonus] * 1.1 * [1 || 1.5 || 2]
Example 1:
Rank 1 Thunder = 400 Dmg
Int = 520 ---> 520/20/100 = 0.26
Rank 5 Lightning Elemental Mastery = 11%
Trinity Staff Magic Damage Upgrade = 10%
5 Charges
Plugging Values In:
Bolt 1~4
= [400 * 1 * ( 1 + 0)] * [1 + 0.11 + 0 + 0.26 + 0/100] * [1 + 0 + 0.1] * 1.1 * [1 (Not last bolt, no bonus)]
= 400 * 1.37 * 1.1 * 1.1 * 1
= 663.08
Bolt 5
= [400 * 1 * ( 1 + 0)] * [1 + 0.11 + 0 + 0.26 + 0/100] * [1 + 0 + 0.1] * [2 (5 Charge Thunder, bonus value is 2)]
= 400 * 1.37 * 1.1 * 1.1 * 2
= 1325.16
Total Damage = 663.08 * 4 + 1325.16 = 3977.48 (0 Critical)
If Critical Hit:
Bolt 1~4 = 602.8 * 2.5 = 1657.7
Bolt 5 = 1205.6 * 2.5 = 3312.9
Total Damage = 1657.7 * 4 + 3312.9 = 9943.7 (All 5 Critical)
*All magic attack skills ignores defense as of G14S2. Protection still reduce magic damage.
Formula:
Above Reduced Damage Formula * (1 - Enemy Protection).
Example 2:
Rank 1 Thunder = 400 Dmg
Int = 519 ---> 519/20/100 = 0.25
Rank 5 Lightning Elemental Mastery = 11%
1 Charge
Target Enemy = 5% Protection
Plugging Values In:
Bolt 1
= [400 * 1 * ( 1 + 0)] * [1 + 0.11 + 0 + 0.25 + 0/100] * [1 + 0 + 0] * 1.1 * [1.5 (Last bolt, but not 5 charges, 1.5 Bonus)]
= 400 * 1.36 * 1.1 * 1.45
= 897.6
897.6 * (1 - 0.05 ) = 897.6 * 0.95 = 852.72
This guide will take a look into damage calculation for the intermediate magic: Fireball, Ice Spear, Thunder.
Ice Spear /Fireball / Thunder Reduced Damage Formula:
Base Damage * Int Elemental Bonus * Upgrade Bonus * 1.1 (* Thunder Bonus)
Base Damage: = Skill Damage * Stack Bonus * (1 + S Upgrade Bonus).
Skill Damage = Damage Shown on Skill Rank.
Stack Bonus = Charge Count (For Ice Spear and Fireball up to 5, Thunder hits are counted separately).
S Upgrade Bonus = S Upgrade %, 10% mean 0.1.
Int Elemental Bonus: = 1 + Elemental Mastery Bonus + Elemental Master Title Bonus + Int Bonus + Magic Attack Enchant Bonus/100.
Elemental Mastery Bonus = Elemental mastery skill rank bonus, rank 1 is 15% or 0.15 for respective elemental magic.
Elemental Master Title Bonus = Elemental master title bonus, 10% bonus or 0.1.
Int Bonus = Magic Attack Stats/100, which is Floor(Int/20/100).
Magic Attack Enchant Bonus = Magic Attack stat gained from enchants.
Upgrade Bonus: = 1 + Magic Master Title Bonus + Wand/Staff Upgrade Bonus.
Magic Master Title Bonus = Master Title for Magic Mastery.
Wand/Staff Upgrade Bonus = Magic Damage increased from upgrading, 10% or 0.1.
Thunder Bonus: = 150% for 1~4 charge's final bolt, 200% for 5 charge's final bolt. Applicable only to Thunder, for other magic value = 100% or 1.
Expanded Version:
[Skill Damage * Stack Bonus * (1 + S Upgrade Bonus)] * [1 + Elemental Mastery Bonus + Elemental Master Title Bonus + Int Bonus + Magic Attack Enchant Bonus/100] * [1 + Magic Master Title Bonus + Wand/Staff Upgrade Bonus] * 1.1 * [1 || 1.5 || 2]
Example 1:
Rank 1 Thunder = 400 Dmg
Int = 520 ---> 520/20/100 = 0.26
Rank 5 Lightning Elemental Mastery = 11%
Trinity Staff Magic Damage Upgrade = 10%
5 Charges
Plugging Values In:
Bolt 1~4
= [400 * 1 * ( 1 + 0)] * [1 + 0.11 + 0 + 0.26 + 0/100] * [1 + 0 + 0.1] * 1.1 * [1 (Not last bolt, no bonus)]
= 400 * 1.37 * 1.1 * 1.1 * 1
= 663.08
Bolt 5
= [400 * 1 * ( 1 + 0)] * [1 + 0.11 + 0 + 0.26 + 0/100] * [1 + 0 + 0.1] * [2 (5 Charge Thunder, bonus value is 2)]
= 400 * 1.37 * 1.1 * 1.1 * 2
= 1325.16
Total Damage = 663.08 * 4 + 1325.16 = 3977.48 (0 Critical)
If Critical Hit:
Bolt 1~4 = 602.8 * 2.5 = 1657.7
Bolt 5 = 1205.6 * 2.5 = 3312.9
Total Damage = 1657.7 * 4 + 3312.9 = 9943.7 (All 5 Critical)
*All magic attack skills ignores defense as of G14S2. Protection still reduce magic damage.
Formula:
Above Reduced Damage Formula * (1 - Enemy Protection).
Example 2:
Rank 1 Thunder = 400 Dmg
Int = 519 ---> 519/20/100 = 0.25
Rank 5 Lightning Elemental Mastery = 11%
1 Charge
Target Enemy = 5% Protection
Plugging Values In:
Bolt 1
= [400 * 1 * ( 1 + 0)] * [1 + 0.11 + 0 + 0.25 + 0/100] * [1 + 0 + 0] * 1.1 * [1.5 (Last bolt, but not 5 charges, 1.5 Bonus)]
= 400 * 1.36 * 1.1 * 1.45
= 897.6
897.6 * (1 - 0.05 ) = 897.6 * 0.95 = 852.72