Dragon Warrior III (retail ROM, read with zeromus/DragonWarrior3)

In Dragon Warrior III (the North American NES release), each step reads the area's encounter class: classes 0–2 first pass a roll of 16, 64, or 128 in 256 and then use a multiplier of 1, and classes 3–7 use 1, 2, 4, 8, or 16. The multiplier times the terrain's odds, capped at 100, is then compared with a random byte; the overworld's odds rise at night (grass 10 by day and 13 by night, forest 18 and 22, hills 25 and 31, and 4 and 5 aboard the ship, which uses terrain 0), and carrying the Golden Claw sets them to 100. dw3/encounter-rate

About: Dragon Warrior III Random encounter

{
 "classMultipliers": [
  1,
  1,
  1,
  1,
  2,
  4,
  8,
  16
 ],
 "classPreRoll": [
  16,
  64,
  128
 ],
 "cap": 100,
 "of": 256,
 "day": {
  "sea": 4,
  "grass": 10,
  "forest": 18,
  "hills": 25
 },
 "night": {
  "sea": 5,
  "grass": 13,
  "forest": 22,
  "hills": 31
 }
}

Cited by: Dragon Warrior III, Random encounter

In Dragon Warrior III (NA NES), a hero's attack takes $X=A-\lfloor D/2\rfloor$, attack power less half the monster's defense; under 2 it deals 0 or 1, and otherwise $\lfloor X\lfloor r/4\rfloor /64\rfloor$, where $r$ is a bell-shaped roll centered on 128 clamped to 102–153, so 25/64 to 38/64 of $X$. dw3/hero-damage

About: Dragon Warrior III Damage formula

{
 "defenseDivisor": 2,
 "rollClamp": [
  102,
  153
 ],
 "fraction": [
  25,
  38
 ],
 "of": 64
}

Cited by: Damage formula, Dragon Warrior III

In Dragon Warrior III (NA NES), a hero lands "a tremendous hit" when a random byte falls below 4 (1 in 64), or below 32 (1 in 8) with the Sword of Destruction or the Demon Axe; a Fighter first gets a roll below its level. The hit deals attack power × (54 + a roll of 0–10) / 64, plus 1, ignoring defense. dw3/critical

About: Dragon Warrior III Critical hit

{
 "chance": [
  4,
  256
 ],
 "higherCrit": [
  32,
  256
 ],
 "fighter": "level/256",
 "damage": [
  54,
  64
 ]
}

Cited by: Critical hit, Dragon Warrior III

Dragon Warrior III (NA NES) keeps Dragon Warrior II's critical-hit odds for most heroes, 1 in 64, and its 1 in 8 with the Sword of Destruction. dw3/keeps-dw2-critical

About: Dragon Warrior III Critical hit

Cited by: Critical hit, Dragon Warrior III

In Dragon Warrior III (NA NES), each round every hero and monster gets a key of a quarter of its agility plus a random share of the other three quarters, so from a quarter to all of it, and a selection sort sets the order from the highest key down. dw3/turn-order

About: Dragon Warrior III Turn order

Cited by: Dragon Warrior III, Turn order

Dragon Warrior III (NA NES) changes Dragon Warrior II's round order: Dragon Warrior II adds a random byte (and a random 0 or 1) to half the agility, while Dragon Warrior III scales the agility itself by a random factor from a quarter to one. dw3/changes-dw2-turns

About: Dragon Warrior III Turn order

Cited by: Dragon Warrior III, Turn order

In Dragon Warrior III (NA NES), running never works in a special battle; it always works when the party leader's level less a level the encounter setup stores at $5F (zeromus reads it as the enemies') is 10 or more, or when bit 3 of the battle-state byte $0566 is set, and otherwise it fails when a random byte is below 128, 128, 64, or 0 for the first, second, third, and fourth try, so the fourth try always escapes. dw3/run

About: Dragon Warrior III Fleeing

{
 "failBelow": [
  128,
  128,
  64,
  0
 ],
 "of": 256,
 "levelMargin": 10
}

The byte at $5F comes from _enemy_roster_get_levels, which the atlas hasn't read; zeromus's comment hopes it is the enemy's level.

Cited by: Dragon Warrior III, Fleeing