[BB] All Known Formulas

[Fiel]

This is for the people who just want up to date information and can't be bothered to read 100+ posts to stay updated.

Section #1: How Mob Avoid Works
Section #2: How Player Avoid Works
Section #3: How Mob Damage Works
Section #4: How Player Damage Works

Credits:
- Many members of the Southperry community: Dusk, JoeTang, KaidaTan, kruimel0, 505, and many others...

If you're wondering:
All of these formulas are taken straight from the executable file. A fully functional, unpacked, and unencrypted exe file was distributed to me legally and free from here.

---------------------

How Mob Avoid Works

Relevant Calculator:
Hit Rate Calculator

Relevant Formulas:
Magic Accuracy = INT + (LUK * 1.2)
Physical Accuracy = LUK + (DEX * 1.2)
Maximum Character Accuracy = 9999
Maximum Mob Avoid = 9999

Procedure:
Calculate the square root of your accuracy. Round down. Call this "Player Accuracy"
Calculate the square root of the enemy's avoid. Round Down. Call this "Mob Avoid"
After doing this, HitRate = Player Accuracy - Mob Avoid + 100
If the HitRate is greater than 100, then make the HitRate equal to 100
If the mob's level is above yours, subtract 5 from HitRate for every level he is above you. If this causes HitRate to go below 0, set HitRate to 0.
HitRate is the percentage chance that you will hit the enemy.

For programmers

int calc_accr(int totalAcc, int mobAvoid, int charLevel, int mobLevel)
{
    int accuracyRate;
    int difference;

    accuracyRate = (int)sqrt((double)totalAcc) - (int)sqrt((double)mobAvoid) + 100;
    if(accuracyRate > 100)
    {
        accuracyRate = 100;
    }
    if(mobLevel > charLevel)
    {
        difference = 5 * (mobLevel - charLevel);
        if(difference > accuracyRate)
        {
             accuracyRate = difference;
        }
        accuracyRate -= difference;
    }
    return accuracyRate;
}

---------------------

How Player Avoid Works

Relevant Calculator:
Avoid Rate Calculator

Relevant Formulas:
Magic Avoid = INT + (LUK * 2)
Physical Avoid = DEX + (LUK * 2)
Maximum Character Avoid = 9999
Maximum Mob Accuracy = 9999

Procedure:
Calculate the square root of your avoid. Round down.
Calculate the square root of the enemy's accuracy. Round down.
After doing this, AvoidRate = Player Avoid - Mob Accuracy
If the AvoidRate is less than 0, then make the AvoidRate equal to 0
If the mob's level is above yours, subtract 5 from AvoidRate for every level he is above you. If this causes AvoidRate to go below 0, set AvoidRate to 0.
AvoidRate is the percentage chance that you will avoid the enemy.

For programmers

int calc_evar(int charAvoid, int mobACC, int charLevel, int mobLevel)
{
    int avoidRate;
    int difference;

    avoidRate = (int)sqrt((double)charAvoid) - (int)sqrt((double)mobACC);
    if(avoidRate < 0)
    {
        avoidRate = 0;
    }
    if(mobLevel > charLevel)
    {
        difference = 5 * (mobLevel - charLevel);
        if(difference > avoidRate)
        {
            avoidRate = difference;
        }
        avoidRate -= difference;
    }
    return avoidRate;
}

---------------------

How Mob Damage Works

Relevant Calculator:
Mob Damage Calculator

Relevant Formulas:
WDEF = STR * 1.2 + (DEX + LUK) * 0.5 + INT * 0.4
MDEF = STR * 0.4 + (DEX + LUK) * 0.5 + INT * 1.2
Maximum Character Defense = 30,000
Maximum Mob Attack = 29,999
Maximum Character HP = 99,999
As a rule of thumb, your defense needs to be four times the enemy's attack value in order to receive 1 damage from the enemy's attack.
Having 30,000 defense will reduce all damage by about 86%. The "never receive damage" defense number is 40,000 (Because sqrt(WDEF * 0.25) of 40,000 is 100% in the formula), though it's impossible to reach it.
The enemy's attack value is the damage he will do if you have 0 Defense.
Flat damage reduction will only happen on values 8660 and less (and even then at only absurdly high defense values). Values higher than this are always percentage based damage reduction.
The overall procedure is: Get Mob Attack --> Reduce mob attack by threaten --> Calculate & randomize mob attack --> reduce attack by defense --> reduce attack by other means (Achilles, Combo Barrier, etc.) --> reduce damage by Meso Guard.
For every level you are below the enemy, you effectively lose 16 defense or 2.0% of the enemy's damage.
Threaten does not work on Pink Bean or any of his cohorts.

Procedure:
Calculate the following: PDDRounded = Total WDEF * 0.25 <---- Round this to the nearest whole number
Calculate the following: PDDPercentage = Square Root(Total WDEF * 0.25) <--- Round Down
If your level is less than the mob's level, subtract 4 from PDDRounded for every level. If PDDRounded becomes less than 0 because of this, set PDDRounded to 0.
If your level is less than the mob's level, subtract 2.0 from PDDPercentage for every level. If PDDPercentage becomes less than 0 because of this, set PDDPercentage to 0.
Calculate the following: MobDamagePDDRounded = Enemy Attack - PDDRounded
Calculate the following: MobDamagePDDPercentage = (100 - PDDPercentage) * (Enemy Attack / 100)
Pick the smaller number between MobDamagePDDRounded and MobDamagePDDPercentage. Call this number "damage taken"
If damage taken is less than 1, set damage taken to 1.
Damage taken is the maximum damage you will receive from the enemy.

For Programmers

int damage_reduce(int totalWDEF, int charLevel, int mobAttack, int mobLevel)
{
    int PDDRounded;
    double PDDPercentage;
    int PDDRoundedRedux;
    double PDDPercentageRedux;
    int maxDamage;

    PDDRounded = (int)(totalWDEF * 0.25 + 0.5);
    PDDPercentage = (double)floor(sqrt(totalWDEF * 0.25));
    if(mobLevel > charLevel)
    {
        PDDRoundedRedux = 4 * (mobLevel - charLevel);
        if(PDDRoundedRedux > PDDRounded)
        {
            PDDRounded = PDDRoundedRedux;
        }
        PDDRounded -= PDDRoundedRedux;
        PDDPercentageRedux = 2.0 * (mobLevel - charLevel);
        if(PDDPercentageRedux > PDDPercentage)
        {
            PDDPercentage = PDDPercentageRedux;
        }
        PDDPercentage -= PDDPercentageRedux;
    }
    PDDRounded -= mobAttack;
    PDDPercentage = (100 - PDDPercentage) * (mobAttack / 100);
    maxDamage = PDDRounded;
    if(maxDamage > (int)PDDPercentage)
    {
        maxDamage = (int)PDDPercentage;
    }
    if(maxDamage < 1)
    {
        maxDamage = 1;
    }
    return maxDamage;
}

---------------------

How Player Damage Works

Relevant Calculator:
None yet

Relevant Formulas:
Multiplier * (4 * main stat + secondary stat) * (Attack / 100)
It is currently believed that mob WDEF does not apply to damage calculations anymore. Only PDRate/MDRate matter.

Procedure:
If you don't want to see any of the specifics for calculations, just jump to the third spoiler.

Defining the equation

Maximum Damage

All damage formulas are derived from the same basic equation, as follows:

MAX DAMAGE = MULTIPLIER * (4 * PRIMARY STAT + SECONDARY STAT) * (ATTACK / 100)

Primary Stat -- The primary stat is determined by the weapon you are using, and it's about what you'd expect. Swords, axes, blunt weapons, polearms, knucklers, and spears all use STR for primary. Wands and staves use INT for primary. Claws and daggers use LUK for primary, and all other weapons use DEX.

Secondary Stat -- The secondary stat is also similar to how it is currently. Swords, axes, blunt weapons, knucklers, polearms and spears all use DEX for secondary. Wands and staves use LUK. Claws use DEX. Daggers use DEX + STR, and bows and crossbows use STR.

Attack -- "ATTACK" here signifies either magic attack or weapon attack. Note that in this new system 1 INT no longer gives 1 Magic Attack. Meditate's magic attack is just as good as a Fighter's Rage.

Multiplier -- The "MULTIPLIER" is determined by the weapon used:

Multipliers from KMST 1.2.318 - 1.2.326

Weapon Type	Multiplier
1H Sword	1.10
1H Axe	1.10
1H BW	1.10
Dagger	1.30
Wand	0.88
Staff	0.88
2H Sword	1.29
2H Axe	1.27
2H BW	1.27
Spear	1.49
Polearm	1.49
Bow	1.15
Crossbow	1.35
Claw	2.00
Knuckler	1.70
Gun	1.60

Multipliers from KMST 1.2.327++

Credit to iAmFear and Baklava for these values

Weapon Type	Multiplier
1H Sword	1.20
1H Axe	1.20
1H BW	1.20
Dagger	1.30
Wand	1.00
Staff	1.00
Barehands	1.43
2H Sword	1.32
2H Axe	1.32
2H BW	1.32
Spear	1.49
Polearm	1.49
Bow	1.20
Crossbow	1.35
Claw	1.75
Knuckler	1.70
Gun	1.50

Minimum Damage

MIN DAMAGE = MAX DAMAGE * TOTAL MASTERY

TOTAL MASTERY = BASE MASTERY + WEAPON MASTERY

Weapon Type	Base Mastery	Included Weapons
Ranged	15%	Bows, Crossbows, Claws, Guns
Melee	20%	Swords, Axes, Blunt Weapons, Spears, Polearms, Knucklers
Magic	25%	Staves, Wands

Weapon Mastery -- This is obtained during second job, and gives you 50% weapon mastery when maxed.

As an example, if you're a Night Lord using a claw with all points in mastery, you would have 65% mastery (15% base mastery + 50% weapon mastery)

Using the equation

Procedure

MULTIPLIER * (4 * PRIMARY STAT + SECONDARY STAT) * (ATTACK / 100)

1. Determine the weapon you'll be using.
2. Insert your values for your primary stat, secondary stat, and attack.
3. Look up your multiplier (given in first spoiler) and insert that into the equation
4. Perform the calculation
5. Round to the nearest whole number. This is your maximum damage.
6. Determine your total mastery (also in first spoiler)
7. Multiply your total mastery with the maximum damage.
8. Round to the nearest whole number. This is your minimum damage.

Example

1H Sword Hero
600 STR, 100 DEX
100 Weapon Attack
Maxed 2nd job mastery

1. Determine the weapon you'll be using:
- 1H Sword, primary stat is STR, and secondary is DEX

2. Insert your values for your primary stat, secondary stat, and attack.
- MULTIPLIER * (4 * 600 + 100) * (100 / 100)

3. Look up your multiplier (given in first spoiler) and insert that into the equation
- It's 1.1, so: 1.1 * (4 * 600 + 100) * (100 / 100)

4. Perform the calculation
1.1 * (4 * 600 + 100) * (100 / 100) <-- remove 100/100, multiplying by 1
1.1 * (4 * 600 + 100) <-- Finish parenthesis
1.1 * 2500 <-- Finish multiplication
2750

5. Round to the nearest whole number. This is your maximum damage.
- 2750 doesn't need to be rounded as it's a whole number

6. Determine your total mastery (also in first spoiler)
- I'm melee, so that's 20% base mastery. I also maxed Mastery in second job. So Total Mastery = 20% + 50% = 70%

7. Multiply your total mastery with the maximum damage.
- 2750 * 0.7 = 1925

8. Round to the nearest whole number. This is your minimum damage.
- 1925 doesn't need to be rounded as it's a whole number

My damage range is 1925 ~ 2750

Damage Formula Cheat Sheet

Weapon Type	Base Mastery	Max Damage Formula
1H Sword	20%	1.20*(4 * STR + DEX) * (Weapon Attack / 100)
1H Axe	20%	1.20*(4 * STR + DEX) * (Weapon Attack / 100)
1H BW	20%	1.20*(4 * STR + DEX) * (Weapon Attack / 100)
Dagger	20%	1.30*(4 * LUK + STR + DEX) * (Weapon Attack / 100)
Wand	25%	1.00*(4 * INT + LUK) * (Magic Attack / 100)
Staff	25%	1.00*(4 * INT + LUK) * (Magic Attack / 100)
Barehands	20%	1.43*(4 * STR + DEX) * (Weapon Attack / 100)
2H Sword	20%	1.32*(4 * STR + DEX) * (Weapon Attack / 100)
2H Axe	20%	1.32*(4 * STR + DEX) * (Weapon Attack / 100)
2H BW	20%	1.32*(4 * STR + DEX) * (Weapon Attack / 100)
Spear	20%	1.49*(4 * STR + DEX) * (Weapon Attack / 100)
Polearm	20%	1.49*(4 * STR + DEX) * (Weapon Attack / 100)
Bow	15%	1.20*(4 * DEX + STR) * (Weapon Attack / 100)
Crossbow	15%	1.35*(4 * DEX + STR) * (Weapon Attack / 100)
Claw	15%	1.75*(4 * LUK + DEX) * (Weapon Attack / 100)
Knuckler	20%	1.70*(4 * STR + DEX) * (Weapon Attack / 100)
Gun	15%	1.50*(4 * DEX + STR) * (Weapon Attack / 100)

[InfiniteFusion]

AvoidRate = Mob Avoid - Player Accuracy

I think you made a typo. Don't you mean: AvoidRate = Player Avoid - Mob Accuracy ?

[Fiel]

Yes, thank you! (::) for you.

[kruimel0]

Awesome! I've been waiting for this ^^

But can you please spell my name correctly? My name seems to be a problem with every non-dutch person I know... so I'm kinda used to people spelling kruimel like krumiel or kriumel or kremuil or w/e....

Edit: Thanks <3

[Russt]

All of these formulas are taken straight from the executable file. A fully functional, unpacked, and unencrypted exe file was distributed to me legally and free from here.

Wow. First time I'm aware of this.

Just lol.

[xallista]

MAX DAMAGE = MULTIPLIER * (4 * PRIMARY STAT + SECONDARY STAT) * (ATTACK / 100)

Does this mean that +wa/ma&#37; and +damage% are the same?

Assuming these figures:
300 wa
2500 str
200 dex
polearm

max range (normal)
= 1.49*(4*2500 + 200)*300/100
= 1.49*(10000 + 200)*3
= 1.49*10200*3
= 45594

max range (+21% wa)
= 1.49*10200*[(300*1.21)/100]
= 1.49*10200*363/100
= 1.49*10200*3.63
= 55168.74

max range (+21% damage)
= 45594*1.21
= 55168.74

If they are not the same, what exactly am I suppose to correct here?

[Kabanaw]

The major difference between &#37; damage and % attack is % attack is rounded sooner than % damage, which can create a small difference.

[xallista]

Though that probably won't apply to my example I believe? Since the resulting WA (363) does not come with decimals.

[Fiel]

Haha, I've explained this like three times to three different people. +WA/MA&#37; is not the same as +damage%

http://www.southperry.net/showthread...l=1#post508543

[xallista]

The difference between the 2 is really insignificant though. Even with something like 366 WA, you're looking at a difference of ~129 max range (using the above example), which is pretty much obselete when you are already at 60k+ max range. Cubing your weapon with a mentality that wa/ma&#37; and damage% are the same would save you a lot of agony trying to get a perfect 9%/6%/6% damage weapon as opposed to a mix between ma/wa % and damage %.

[Fiel]

I understand that in the grand scheme of things the difference between +&#37; WA/MA/damage is pretty insignificant. However, in the scope of calculating damage ranges it is the difference between correct and incorrect. I'd rather be correct.

[Stereo]

The major difference between &#37; damage and % attack is % attack is rounded sooner than % damage, which can create a small difference.

I'd call that a minor difference, a major difference is that %wa only affects equipment. Potions and stars/bullets/arrows are ignored. So really with 200 + apples + 21%, you'll be getting 342 (%wa) and 363 (%dmg) if it's a class that doesn't have Use atk items.

It is possible BB changes this but I don't know why it would.

[Fiel]

Just learned something new. MagicUP and AttackUP affect a mob's damage multiplicatively after defense reduction. So...

Calculate Miss Check
If Mob Missed
    damage
else
    Calculate mob attack
    Randomize mob attack
    Calculate player defense
    Reduce  mob attack by player defense
    Achilles Reduce
    MesoGuard reduce
    Magic or AttackUP damage
    Constrain damage between [1, 999999]
return damage

[Dusk]

Any idea how much MagicUP and AttackUP add, or is that variable by mob?

[Fiel]

It's varied by mob. There's a certain MobSkill (in Skill.wz) which contains these variables. Typical AUP or MUP is 30&#37;. Bosses tend to have higher values.

[xallista]

I'd call that a minor difference, a major difference is that &#37;wa only affects equipment. Potions and stars/bullets/arrows are ignored. So really with 200 + apples + 21%, you'll be getting 342 (%wa) and 363 (%dmg) if it's a class that doesn't have Use atk items.

It is possible BB changes this but I don't know why it would.

Looking at the Dark Aura thread:
11wa claw, 15wa star, 3wa BoF

1.75*(4*37 + 25)*29/100 = 87.7975 +0.5, round down = 88~

With Dark Aura (10% wa/ma):
302.75*(29*1.1)/100 = 93.8525 +0.5, round down = 94~

With DA (10% wa/ma) and warrior pot (5wa):
302.75*[(29+5)*1.1]/100 = 112.0175 +0.5, round down = 112~

Considering how potential stat% affects total stat rather than base stat only (MW), and that even bonuses gained from MW gets multiplied by your potentials, makes me think that stars and potions do get affected as well (as is the case for DA).

[Fiel]

Also, just so you guys know, I'm working on an HP Washing calculator. So you guys should definitely have that by the end of the week.

[Devil]

Wouldn't this table be easier to use (For everyone with maxed mastery)

Edit:
[Table deleted to avoid confusion]

[Dusk]

No, because that table's incorrect. The multiplier applies to the secondary stat as well. Also, you're forgetting Expertise-type skills.

[Devil]

No, because that table's incorrect. The multiplier applies to the secondary stat as well. Also, you're forgetting Expertise-type skills.

Ah that way, didnt know that, deleted the table to avoid confusion.

Still, what on earth are Expertise skills? o.0