The Hardcore OxygeNation

[Cisco]

Ok this thread is going to be a resource for actual, verified formulas related to game mechanics. I will keep the top posts updated and people can post things that should be included. Please also post your references if possible.

Combat

Hit % (by Crawly) - ( (Your Mus/Mox/Myst - Monster Defense) / 18 ) * 100 + 50 = Hit % (Crossbow Fever will add 10 Moxie for this purpose to ranged attacks.)

Critical Hit % (By Smidge) - Base chance: 1/11 or 9.09% chance (eye adds +4.54% chance)

Fumble % - Base chance: 1/22 or 4.54% chance. (eye changes it to 1/44 or 2.27% chance)

Leveling

Stats needed to reach level X - (X-1)^2 + 4

Substats needed to reach next stat - 2x +1

Total substats to reach stat X - X^2


Damage to Monster by Player (By Strangerer)

Regular weapon damage:
10-20% * Weapon Power + Melee damage modifiers + (Your Muscle - Monster Defence) + (Elemental damage * modifier)

Ranged weapon damage:
10-20% * Weapon Power + Melee damage modifiers + 1/2* (Your Muscle - Monster Defence) + (Elemental damage * modifier)

Thrust-Smack damage:
(10-20% * Weapon Power + Melee damage modifiers) * 2 + (Your Muscle - Monster Defence) + (Elemental damage * modifier)

Lunging Thrust-Smack damage:
(10-20% * Weapon Power + Melee damage modifiers) * 3 + (Your Muscle - Monster Defence) + (Elemental damage * modifier)

Off-hand damage = regular weapon damage (unverified, because I'm a lazy git- Strangerer) (RetroFrog points out that offhand does not get melee modifiers)
10-20% * Weapon Power + (Elemental damage * modifier)

Damage to Player by Monster (By Crawly):

(Monster Attack - Player Moxie) + 100-125% of Monster XP = Total Damage


Familiars

Fairy Effect +2.5% item drop rate per pound

Leprechaun Effect +5% meat per lb

Volleyball Effect +.25 XP per lb. This means a +25% chance of getting the extra XP.

Sombrero Effect - (root (Monster level))*poundage/33

Sombrero/Volleyball comparison (By Janosicek) - An X pound sombrero is better than Y pound volleyball at [68 * ((Y/X) ^ 2)] monster level.


NPZR (By Barkeep)

NPZR action frequencies:
50% do nothing
6% toast
11% delevel
11% meat steal
11% heal
11% attack

Magnitude of effects:
delevel: .5 * weight (By N3RD)
meat steal: 6 * weight + 12 (not confirmed)
heal: 1.5 * weight + 6 to 9 (not confirmed)
damage: 1.5 * weight + 1 to 4

NS delevel - Reduces familiar weight by 50%


Resistance

Elemental 10% damage reduction per level of resistance


Spells (By pcentella)

In the formulas, "Mys" is your buffed Mysticality (but is capped at a certain value for the first three spells, which depends on the spell, and isn't capped for Saucegeyser), "B" is the bonus damage from items, Intrinsic Spiciness and Immaculate Seasoning added up (Intrinsic Spiciness adds 1 damage per level, but caps at level 10; Immaculate Seasoning also does this), things like 3-4 denote a range (and not a substraction), and the bonus damage you get from Mys is always rounded down (so 39/10 would be equal to 3, for example).

Sauceror

Stream of Sauce: (3-4)+(0.1*Mys)+B damage, Mys caps at 100 (for 10 extra damage).

Saucestorm: (14-18)+(0.2*Mys)+B damage, Mys caps at 125 (for 25 extra damage).

Wave of Sauce: (20-24)+(0.3*Mys)+B damage, Mys caps at 100 (for 30 extra damage).

Saucegeyser: (35-45)+(0.35*Mys)+B damage, Mys isn't capped.


Pastamancer

Intrinsic Spiciness and Immaculate Seasoning do nothing here, so "B" is just the bonus damage from items.

[b]Minor Ray of Something: (3-8)+(0.07*Mys) damage, Mys caps at 215 (for 15 extra damage).

eXtreme Ray of Something: (8-16)+(0.15*Mys) damage, Mys caps at 134. (for 20 extra damage).

Cone of Whatever: (16-40)+(0.25*Mys) damage, Mys caps at ???(possibly 120) (possibly for 30 extra damage).
_________________

[Cisco]

Reserved.
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[Barkeep]

For familiar effects:

NPZR action frequencies:
50% do nothing
6% toast
11% delevel
11% meat steal
11% heal
11% attack

Magnitude of effects:
damage: 1.5 * weight + 1 to 4
heal: 1.5 * weight + 6 to 9 (not 100% sure of this one without looking at my data)
meat steal: still working on the formula, but off the top of my head, I think that it was 6 * weight + either 12 or 20 (I know the formula can't be linear, but this is a decent approximation)

[Kittiwake]

NPZR Delevel is half of its weight.
(Source, N3RD)

The NS's Familiar Curse halves the weight of your familiar.
(Source - Stoop)

Hit% - Each 1 point of Muscle/Moxie/Myst above an opponent's Defense equates to an extra 5.56% (or 1/18) chance to hit (At equal values, its 50%). Same works in reverse for monsters hitting you, and for each 1 point below an opponent's defense. Crossbow Fever will add 10 Moxie for this purpose to ranged attacks. Or, in a formula form:

( (Your Mus/Mox/Myst - Monster Defense) / 18 ) * 100 + 50 = Hit%

(Source, Crawly)

Monster damage:
(Monster Attack - Player Moxie) + 100-125% of Monster XP = Total Damage

(Source, Crawly)

Fumble/Critical Chance:

Critical Hit Base chance: 1/11 or 9.09% chance (eye adds +4.54% chance)
Base chance: 1/22 or 4.54% chance. (eye changes it to 1/44 or 2.27% chance)

(Source - Smidge)

EDIT: Found Source for NS Familiar curse, Updated Monster Damage Formula and Source
_________________
Sir, I just have to point out that you smell.
No. Yes. Sorry. I'll shut up.

[Barkeep]

Ok...meat steal of the NPZR over the range of 30 to 40lbs has a reasonable approximation of 6 * weight + 12 on average. Spading is unfinished on this, but I know that this is not the correct formula.

[d0om]

[Kittiwake]

Cocoabo Confusion Attack = (Weight+1)/3 in -ML
(Source - Yours truly)

NOTE: Untill Wallaby is confirmed/denied to have anything to do with Familiar level, this may not be completly accurate. I'm working on testing on a non-wallaby character.

Here is a handy rough formula by jaolen that converts Elemental resistance into a DA value, for comparison purposes:

(ln(1 - (resistance level /10)) / ln(.5)) * 350.
_________________
Sir, I just have to point out that you smell.
No. Yes. Sorry. I'll shut up.

[Smidge]

Could we make the weapon damage stuff a bit more clear/complete? This thread drew my attention to how it's currently a bit unclear, and doesn't really explain the off-hand and elemental damage at all.

Damage is in the format:
You hit for main damage (+off-hand) (+hot) (+cold) (+stench) (+spooky) (+sleaze) damage.

The sections in () don't appear if they are zero.

Off-hand damage = 10-20% of the power of the weapon in the off-hand. Obviously only applies for Double-Fisted Skull Smashing.

Elemental damage is explained pretty well here, though where they say 'negligible damage', '1 damage' might be more descriptive.

[dirkdiggler]

Level

[Kittiwake]

[dirkdiggler]

Shoot. I know I pasted that into my formulas cribsheet after someone really smart said it, responding to my question in /hardcore. I don't know why I put your name to it -- it's not really what your work in the Tool Shed showed, so you certainly weren't the one who told me that Does my edited version, above, look like an accurate summary of what we know?

[Kittiwake]

[Aprocalypse]

I think that might have been me that said that, if it was in /hardcore, I remember saying something nearly exactly the same as that at one point.

That was based upon what Kittiwake found and what I saw. >_>

[MagiNinjA]

Can you say outdated?

I can.

(Sorry. Just a friendly reminder!)

[kevbob]

[Smoothy]

I'm currently doing a harcore NP DB run, and the damage I'm getting from Moxious Maneuver doesn't seem to match up.

Relevant stats:
No active effects.
Moxie: 159 (120)
Weapon: Shagadelic Disco Banjo (power: 90)
Equipment: f3d0r4, Boss Bat britches, porquoise ring, Cape of the Goblin King, badass belt (i.e. nothing but moxie boosting, basically)
ML: +0

No permed Eye of the Stoat.

Opponent: Ninja Snowman (ML = 85)

Now, according to the wiki, damage for the Maneuver should simply use Moxie instead of Muscle:
http://kol.coldfront.net/thekolwiki/index.php/Weapon_Damage

This suggests I should be doing:
(159 * 3 / 4) - 89 + (.15 * 90) = ~44 damage

but I am regularly doing 90 - 109 damage with this.

So, some questions:
1. Am I simply reading the formulae wrong?
2. Does the shagadelic disco banjo's +7 to DB combat skills apply to the Moxious Maneuver?
3. Does the Maneuver do double damage under certain circumstances, or does it always count as a critical hit? (note I am *regularly* getting around twice the predicted damage, far above my critical hit %).

Curiously yours,
Smoothy

[salien]

Moxious Maneuver doesn't get the 3/4 adjustment for being a ranged attack. Also, since NS13, a monster's defense is 90% of it's attack, rounded up. So, you should do:

159 - CEILING(0.9 * 85) + (.15 * 90) = ~95.5

Or, more specifically:

Min = 159 - CEILING(0.9 * 85) + (.1 * 90) = 91
Max = 159 - CEILING(0.9 * 85) + (.2 * 90) = 100

Still a bit lower than what you're seeing. I have a theory that MM uses your Moxie as your weapon power, either buffed or unbuffed, but have nothing to support it at the moment. Just going on the fact that your weapon doesn't seem to be involved in MM at all, barring enchantments. Might play with this a bit on a multi later...

[Shao Mi]

Change the weapon to something wimpy and see if it changes the damage range at all.

Although if the real damage range is 10-30% of weapon power, rather than 10-20%, then that fits just fine.

[Smoothy]

Ok, switched to a disco ball (power 10), then buffed moxie up to 158 with non-combat affecting candy hearts. Over 10 adventures:

vs. Weaponmaster (ML 90): damage range 76-78 (4 samples)
vs. Regular Snowman (ML 85): 79-86 (7 samples)
vs. Janitor (ML 80): 79 (1 sample)

So: weapon power does matter.

Samples using Shagadelic Disco Banjo (power 90), at 160 Moxie (note this is 2 moxie higher than the above samples)
vs. Weaponmaster (ML 90): 91 (1 sample)
vs. Regular Snowman (ML 85): 92-104 (7 samples)
vs. Janitor (ML 80): 88-92 (2 samples)

10%-20% of a 90 power weapon would be 9-18 damage, vs.
10%-20% of a 10 power weapon would be 1-2 damage.

So, looking at the Regular Snowmen(*), this appears to line up right, going with the notion that there is not a 25% penalty for ranged weapons with Moxious Maneuver.

Just for completeness, I took some samples at 160 Moxie bare-handed:

vs. Weaponmaster (ML 90): 77 (2 samples)
vs. Regular Snowman (ML 85): 81-88 (8 samples)
vs. Janitor (ML 80): 77 (1 sample)

Lining this up with the disco ball numbers, it also looks like you don't get the 75% penalty for being barehanded, either.

Thanks!

(*) YMMV due to sample size!

[salien]

Yeah, I just had my high-level AT multi pull some maneuvers on fluffy bunnies (ML 1, so defense 1) wearing nothing. My damage was either equal to my moxie (1978) or my moxie plus 1, which is the same as moxie - defense + 1 or 2. No support for my off the cuff idea.

[QuantumNightmare]

Some advice for spading moxious maneuver: in order to achieve a static monster defence, fight a monster with less than 20ML and use +ML modifiers. The above ninja snowman testing suffers a lack of accuracy because of random monster variation.

Fun house monsters (besides creepy clown) have relatively high non-varying ML, that's a useful place for testing.

[Kittiwake]

Last I checked, basement monsters had static monster stats as well, so they're a possibility.
_________________
Sir, I just have to point out that you smell.
No. Yes. Sorry. I'll shut up.