Angband Forums Some calculations (AC and accuracy)
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 March 26, 2021, 06:43 #1 wobbly Prophet   Join Date: May 2012 Location: Adelaide, Australia Posts: 2,610 Some calculations (AC and accuracy) Just taking a bit of a look at how much difference AC and accuracy make. Figured I may as well post the numbers here as I go. For a lvl 1 small kobold: vs 0 AC = 95% vs 6 AC = 90.69% vs 12 AC = 81.39% vs 18 AC = 72.09% vs 24 AC = 62.79% vs 30 AC = 53.48% vs 36 AC = 44.18% vs 42 AC = 34.88% vs 48 AC = 25.58% vs 54 AC = 16.27% vs 60 AC = 12% so the to-hit % drops roughly 10% / 6 AC on a level 15 monster with a hit to hurt attack you need to double those AC numbers. on a level 30 monster you triple those AC numbers. lv 44 -> x4 AC lv 58 -> x5 AC etc.
 March 26, 2021, 07:30 #2 Selkie Swordsman   Join Date: Aug 2020 Location: London Posts: 426 Great job, it was interesting to read. I always neglect AC so much, but this goes to show the difference a couple of rings of protection could make in the early game. What's a good example of a level 30 hard hitting monster?
 March 26, 2021, 08:35 #3 bughunter Adept   Join Date: Nov 2019 Location: Pasadena CA Posts: 141 Fire Giant does 6d8, twice per turn. (But then, it's also fire branded, which may affect the calculation.) Mithril Golem does 2x 3d8 and 2x 5d8 per turn. Both are level 30. I'm running 4.0.5 still (one more week) so those numbers may be outdated.
March 26, 2021, 08:38   #4
bughunter

Join Date: Nov 2019
Posts: 141
Quote:
 Originally Posted by wobbly so the to-hit % drops roughly 10% / 6 AC on a level 15 monster with a hit to hurt attack you need to double those AC numbers. on a level 30 monster you triple those AC numbers. lv 44 -> x4 AC lv 58 -> x5 AC etc.
I've been operating under the impression that higher AC also reduces damage taken on a hit... is this also true?

March 26, 2021, 08:59   #5
wobbly
Prophet

Join Date: May 2012
Posts: 2,610
Quote:
 Originally Posted by bughunter I've been operating under the impression that higher AC also reduces damage taken on a hit... is this also true?
Code:
```/**
* Calculate how much damage remains after armor is taken into account
* (does for a physical attack what adjust_dam does for an elemental attack).
*/
{
return damage - (damage * ((ac < 240) ? ac : 240) / 400);
}```
This only applies to "physical" attacks (not hit to confuse, disenchant etc.). Though I believe base elemental melee is a mix of elemental/physical. So it's 60% reduction at 240 AC.

March 26, 2021, 12:23   #6
wobbly
Prophet

Join Date: May 2012
Posts: 2,610
Quote:
 Originally Posted by Selkie Great job, it was interesting to read. I always neglect AC so much, but this goes to show the difference a couple of rings of protection could make in the early game. What's a good example of a level 30 hard hitting monster?
Level 30 is Bill, Bert and Tom. The hardest hitting non-unique would be an ogre chieftain.

 March 26, 2021, 19:08 #7 bughunter Adept   Join Date: Nov 2019 Location: Pasadena CA Posts: 141 I realize I've made an assumption. This #monster is normally found at depths of #depth feet (level #dl) Is #dl the same as the monster level?
 March 26, 2021, 19:35 #8 Pete Mack Prophet   Join Date: Apr 2007 Location: Seattle, WA Posts: 6,766 Donated: \$40 that is correct.
 March 27, 2021, 07:56 #9 wobbly Prophet   Join Date: May 2012 Location: Adelaide, Australia Posts: 2,610 Not sure how best to look at player accuracy: what class, race, clvl, do I do it vs AC? or some average AC vs monster level? etc. For now some idle comparisons to the monster to-hits above. a lvl 1 human priest/druid with no bonus is equivalent to a lvl 1 monster. +1 to-hit is equivalent to +1 monster level warrior: +8 to hit, +1.5 to hit/level (relative to priest) mage: -3 to hit, +0.5 to hit/level druid/priest: +0 to hit, +0.7 to hit/level necromancer: -3 to hit, +0.8 to hit/level paladin: +7 to hit, +1.3 to hit/level rogue: -3 to hit, +1.5 to hit/level ranger/blackguard: +5 to hit, +1.3 to hit/level half-elf: -0.33 to hit elf: -1.66 to hit hobbit: -3.33 to hit gnome: -2.66 to hit dwarf: +5 to hit half-orc: +4 to hit half-troll: +6.66 to hit dunadan: +5 to hit high-elf: +3.33 to hit kobold: -1.66 to hit
 March 27, 2021, 16:52 #10 wobbly Prophet   Join Date: May 2012 Location: Adelaide, Australia Posts: 2,610 So time for some fairly arbitrary numbers. I used a clvl 1 hobbit mage as the base point, so a clvl 1 human priest starts at +6 and a clvl 50 human warrior at +90. Code: ```vs AC 24 (small kobold) +0 36% +1 42.86% +2 48.39% +3 52.94% +4 56.76% +5 60% +10 70.91% +15 77.14% +20 81.18% +25 84% +30 86.09% +35 87.69% +40 88.97% +45 90% +50 90.86% AC 48 (large kobold/snaga) +0 12% +5 20% +10 41.82% +15 54.29% +20 62.35% +25 68% +30 72.17% +35 75.38% +40 77.93% +45 80% +50 81.71% AC 96 (mature dragon) +0 12% +5 12% +10 12% +15 12% +20 24.71% +25 36% +30 44.35% +35 50.77% +40 55.86% +45 60% +50 63.43% +55 66.32% +60 68.78% +65 70.91% +70 72.77% +80 75.84% +100 80.31% AC 180 (Morgoth) +0 12% +20 12% +40 17% +60 41.46% +80 54.72% +100 63.08% +120 68.81% +140 73.03% +160 76.24% +180 78.76% +200 80.8%``` So hmm... mostly a bunch of mostly meaningless numbers and I suspect with a bit of searching you can find a more organized version then this, but there is some basic patterns I can see there. Accuracy matters up to the pt you hit around 60-70% or so then does very little. (you can see your % to-hit in monster memory). Bless on a priest is a big booster early. For a lvl 5 human priest vs large kobold/snaga its around +25% damage (about +10% for the paladin). Interestingly I'd say it matters for non-warriors melee-ing Morgoth, it's just everything else matters more.

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