Damage Calculations

[phantasm]

Wearing leather breastplate. Is it possible to figure out what these hits would have looked like in full leathers? If so, can someone explain to me how to do it?


>A half-elven mugger swings a broadsword at you!
AS: +384 vs DS: +271 with AvD: +36 + d100 roll: +71 = +220
... and hits for 35 points of damage!
Feint to your head!
Quick flick at your weapon hand!
Nasty cut to right hand!


>A half-elven bandit swings a handaxe at you!
AS: +359 vs DS: +270 with AvD: +38 + d100 roll: +97 = +224
... and hits for 43 points of damage!
Grazing blow to your stomach.

>A half-elven bandit swings a handaxe at you!
AS: +359 vs DS: +272 with AvD: +38 + d100 roll: +32 = +157
... and hits for 20 points of damage!
Slash to your left leg hits high!
Kinda makes your knees weak, huh?

>A half-elven bandit swings a handaxe at you!
AS: +359 vs DS: +274 with AvD: +38 + d100 roll: +74 = +197
... and hits for 31 points of damage!
Blow leaves an imprint on your chest!

>An Ithzir scout swings a gleaming steel broadsword at you!
AS: +402 vs DS: +296 with AvD: +36 + d100 roll: +9 = +151
A layer of shifting stone absorbs 8 points of damage!
... and hits for 10 points of damage!
Awkward slash to your stomach!
Everyone needs another belly button.

>An Ithzir scout swings a gleaming steel broadsword at you!
AS: +402 vs DS: +315 with AvD: +36 + d100 roll: +90 = +213
A layer of shifting stone absorbs 8 points of damage!
... and hits for 23 points of damage!
Blow raises a welt on your left arm.

>An Ithzir scout swings a gleaming steel broadsword at you!
AS: +402 vs DS: +307 with AvD: +36 + d100 roll: +95 = +226
A layer of shifting stone absorbs 6 points of damage!
... and hits for 36 points of damage!
Banged your left shin.
That'll raise a good welt.

A half-elven marauder fires a plain wooden arrow at you!
AS: +384 vs DS: +279 with AvD: +30 + d100 roll: +32 = +167
... and hits for 23 points of damage!
Strike to left hand breaks a fingernail!

A half-elven marauder fires a plain wooden arrow at you!
AS: +384 vs DS: +289 with AvD: +30 + d100 roll: +89 = +214
... and hits for 52 points of damage!
Strike connects with shoulder blade!
You are stunned for 2 rounds!

>A wind wraith claws at you!
AS: +294 vs DS: +78 with AvD: +29 + d100 roll: +47 = +292
... and hits for 48 points of damage!
Smooth slash to your hip!
Nice crunching sound.

>A wind wraith claws at you!
AS: +300 vs DS: +81 with AvD: +29 + d100 roll: +60 = +308
... and hits for 57 points of damage!
Blow to head!
Look at the pretty stars!

A wind wraith claws at you!
AS: +314 vs DS: +105 with AvD: +29 + d100 roll: +42 = +280
... and hits for 46 points of damage!
Beautiful head shot neatly slices off your ear!
You are stunned for 5 rounds!

[Riltus]

Wearing leather breastplate. Is it possible to figure out what these hits would have looked like in full leathers?

The short answer is no. You can only compare all the possible outcomes for each armor sub-group. There are a few reasons for this but it is primarily due to critical randomization. The armor action penalty, which affects DS, is another factor, but less consequential when comparing full leather to LBP, as opposed to, full leather vs plate class armor.


If so, can someone explain to me how to do it?

I'll keep this basic and exclude redux , damage padding/weighting and crit padding/ weighting.

There are two components that make up the hit point damage outcome: raw damage plus critical damage.

RAW DAMAGE:

Raw damage for non-redux characters is simply the Endroll Success Margin (ER -100) * the weapon damage factor. Critical damage is the damage that corresponds to the critical messaging for the damage type inflicted (slash, crush , puncture etc.). Weapon damage factors and the critical tables are available on Krakiipedia.


>A half-elven mugger swings a broadsword at you!
AS: +384 vs DS: +271 with AvD: +36 + d100 roll: +71 = +220
... and hits for 35 points of damage!
Feint to your head!
Quick flick at your weapon hand!
Nasty cut to right hand!

In the above attack, the total damage was 35, and, as I said, it has two components, raw damage and crit damage. In order to determine the raw damage we need to know the weapon damage factor. Each weapon has five damage factors - one for each of the five armor groups (cloth, leather, scale, chain and plate). Your character is wearing LBP which is a member of the scale group. The broadsword has a damage factor of .250 vs scale armor. What does this mean? For each endroll point greater than 100, your character will lose .250 (1/4) of a health point.

See: http://www.krakiipedia.org/wiki/Edged_Weapons

Now, in this attack there was a 220 endroll. The raw damage calculation is (endroll success margin * weapon damage factor). We know the endroll success margin ( 220 -100) is 120 and the weapon damage factor is .250. Therefore, the raw damage component of the 35 total damage is: 120 * .250 = 30

CRITICAL DAMAGE:

Next, we need to determine the critical damage of the attack. This can be found on the appropriate critical table. A broadsword can do three types of damage (crush, slash and puncture). It is not clear from the messaging, "Feint to your head...cut to right hand!", which type of damage was done. But we know that it resulted in a right hand injury. With a little bit of searching we find the appropriate critical messaging in the Slash critical table. From the table we see that it is a rank 3 critical that does 5 damage. Also, there is no stun and it will leave a level 1 injury (minor cuts and bruises).

See: http://www.krakiipedia.org/wiki/Slash_critical_table#RIGHT_HAND

Endroll success margin: 120
Damage factor: .250
Raw damage: 30 (130 * .250)
Armor crit divisor: 6 (leather since the hand isn't covered by scale)
Maximum critical rank: 5 [round down ( raw damage/ armor crit divisor]
Minimum critical rank: 3 [round up ( maximum crit rank / 2)]
Actual randomized critical rank: 3
Critical damage: 5 (rank 3 right hand slash critical)
Total damage: 35

FULL LEATHER:

What would happen if your character was wearing full leather. Well, one thing we do know is that a broadsword has a different AvD vs full leather than it does against LBP. We also know that there is no action penalty with full leather. Therefore, your character's DS will be slightly higher depending on the number of dodge ranks. Although they will affect the final outcome, I'll assume for this explanation that the net effect is zero.

Broadsword vs full leather w/ 220 endroll

Endroll success margin: 120
Damage factor: .300
Raw damage: 36 (120 * .300)
Critical damage: ???
Total damage: ???

Now we need to determine the possible critical rank outcomes, and for this it is necessary to understand armor critical divisors and critical randomization. Each armor group has an instrinsic resistance to critical injuries. This protection is measured by the amount of damage required to inflict a critical rank. Cloth affords the least protection and only requires 5 damage to cause a rank 1 critical.

The armor critical divisors are:

1. Cloth: 5
2. Leather: 6
3. Scale: 7
4. Chain: 9
5. Plate: 11

The maximum critical rank is: round down (raw damage / armor critical divisor.

Raw damage: 36
Armor critical divisor (leather): 6
Maximum critical rank: 6 (36 / 6)
Minimum critical rank: 3 (6/2)

The minimum critical rank is round up (maximum rank / 2). In this theoretical attack the min critical rank is (6 / 2) = 3

And the possible critical rank outcomes are 3, 4 , 5 or 6 with an equal probability for each. Also, the armor crit divisors are based on the area covered by that armor. Non-covered areas would use the next lower armor group crit divisors. If you were hit in the neck while wearing full leathers, you would be considered to have cloth armor coverage for that area with an armor crit divisor of only 5.

See: http://www.krakiipedia.org/wiki/Critical_randomization


EXAMPLE II:


>A half-elven bandit swings a handaxe at you!
AS: +359 vs DS: +270 with AvD: +38 + d100 roll: +97 = +224
... and hits for 43 points of damage!
Grazing blow to your stomach.

HANDAXE vs LBP:

Endroll success margin: 124
Handaxe damage factor: .270
Raw damage: 33 (124 * .270)
Critical damage: 10 (rank 2 abdomen crush critical)
Armor crit divisor: 7 (scale)
Maximum critical rank: 4 trunc(33 / 7)
Minimum critical rank: 2 round up(4 / 2)
Actual critical rank: 2 (this randomized to the lowest possible)
Total damage: 43 (raw + crit)

HANDAXE vs FULL LEATHER:

Endroll success margin: 124
Handaxe damage factor vs full leather: .300
Raw damage: 37
Crit damage: varies
Armor crit divisor: 6 (leather)
Maximum critical rank: 6 (37 / 6)
Minimum critical rank: 3 (6 / 3)

Possible crit rank outcomes (full leather):

Rank 3 w/ 15 damage, 1 round stun and a level 2 injury,
Rank 4 w/ 20 damage, 3 round stun and a level 2 injury
Rank 5 w/ 25 damage, 5 round stun and a level 2 injury
Rank 6 w/ 30 damage, 6 round stun and a level 3 injury

See: http://www.krakiipedia.org/wiki/Crush_critical_table#ABDOMEN



LBP vs FULL LEATHER COMPARISON:

Possible total damage and crit outcomes - full leather

Total damage: 52 w/ a rank 3 critical
Total damage: 57 w/ a rank 4 critical
Total damage: 62 w/ a rank 5 critical
Total damage: 67 w/ a rank 6 critical

Possible total damage and crit outcomes - LBP

Total damage: 43 w/ rank 2 crit
Total damage: 48 w/ rank 3 crit
Total damage: 53 w/ rank 4 crit

So, we can't specifically say what the result would be if the character was wearing full leather. The best we can do is compare all the possible attack outcomes between one armor type and another. Any change in the weapon, endroll or damage type will, obviously, affect the results. Additionally, the armor's action penalty and the weapon's AvD for each armor will need to be factored into the calculations for a more accurate comparison.

Mark

[phantasm]

Thank you, Mark.
This is comparable to having Albert Einstein answer a question about relativity.