Fire Emblem: The Sacred Stones (FireEmblemUniverse/fireemblem8u)

In the North American build, an attack hits when the displayed hit is greater than the average of two random numbers from 0 to 99, rounded down; each number scales a 16-bit NextRN() by 100/65,536. fe8/hit-roll

About: Fire Emblem: The Sacred Stones Hit chance

{
 "rolls": 2,
 "range": [
  0,
  99
 ],
 "scale": "NextRN() * 100 / 0x10000",
 "combine": "floor((a + b) / 2)",
 "hitIf": "hit > combined"
}

A Sniper's Sure Shot, which rolls its level on one number, skips the hit roll (BattleCheckSureShot). Because NextRN() has 65,536 values, 36 of the 100 results come from 656 of them and the rest from 655.

Cited by: Critical hit, Fire Emblem: The Binding Blade, Fire Emblem: The Sacred Stones, Hit chance

Computed from the code, taking the two numbers as independent and evenly spread, a displayed hit $h$ connects $h(2h+1)$ times in 10,000 up to 50 and $\mathrm{10,000}-(100-h)(199-2h)$ times above it, so a displayed 80 hits 92.2% of the time, 20 hits 8.2%, and 50 hits 50.5%. fe8/true-hit-example

About: Fire Emblem: The Sacred Stones Hit chance

{
 "shown": [
  20,
  50,
  80
 ],
 "actual": [
  8.2,
  50.5,
  92.2
 ]
}

The generator's consecutive outputs are not truly independent; no emulator measurement backs the curve yet.

Cited by: Fire Emblem: The Sacred Stones, Hit chance

In the North American build, a unit's hit is twice its skill, plus its weapon's hit, half its luck, and the weapon triangle's bonus; its avoid is twice its attack speed plus its terrain's avoid and its luck; the hit shown and rolled is the attacker's hit less the defender's avoid, held within 0–100. fe8/displayed-hit

About: Fire Emblem: The Sacred Stones Hit chance

Support bonuses add to hit and avoid afterward, and an S rank in the weapon's type adds 5 hit and 5 crit. Skill, speed, and luck include the equipped item's bonuses (GetUnitSkill and its kin in bmunit.c). A petrified defender sets the attacker's hit to 100 (ComputeBattleUnitSpecialWeaponStats).

Cited by: Hit chance

In the North American build, a unit's crit is its weapon's crit plus half its skill, plus 15 for classes with a crit bonus; the crit shown and rolled is that less the defender's luck, at least 0, and one random number from 0 to 99 below it triples the hit's damage. fe8/critical

About: Fire Emblem: The Sacred Stones Critical hit

{
 "rolls": 1,
 "range": [
  0,
  99
 ],
 "critIf": "crit > roll",
 "multiplier": 3,
 "classBonus": 15
}

The crit roll comes after the hit roll and the damage subtraction, so only a hit can be critical. An item with the negate-crit attribute in the defender's inventory sets the attacker's crit to 0 (L620–L625). An assassin's Silencer check runs inside a successful crit roll.

Cited by: Critical hit, Damage modifier, Fire Emblem: The Sacred Stones, Hit chance

In the North American build, the weapon triangle gives 15 hit and 1 damage to the side whose weapon type has the edge and takes the same from the other; swords beat axes, axes lances, and lances swords, and anima beats light, light dark, and dark anima. fe8/weapon-triangle

About: Fire Emblem: The Sacred Stones Weapon triangle

{
 "hit": 15,
 "damage": 1,
 "beats": {
  "sword": "axe",
  "axe": "lance",
  "lance": "sword",
  "anima": "light",
  "light": "dark",
  "dark": "anima"
 }
}

Cited by: Weapon triangle

In the North American build, a reaver weapon on one side only reverses the weapon triangle and doubles it, to 30 hit and 2 damage. fe8/reaver

About: Fire Emblem: The Sacred Stones Weapon triangle

Cited by: Weapon triangle

In the North American build, damage is attack less defense, where attack is the weapon's might plus the triangle's damage bonus, tripled when the attacker or its weapon is effective against the target (doubled instead when the effective weapon is one of eight legendary weapons), plus the attacker's strength, and defense is terrain defense plus Defense, or terrain resistance plus Resistance against magic; no roll changes it except two skills, Pierce (which sets defense to 0) and Great Shield (which sets the damage to 0); a critical triples it, and the result is held within 0–127. fe8/damage

About: Fire Emblem: The Sacred Stones Damage formula

{
 "effective": 3,
 "effectiveLegendary": 2,
 "critical": 3,
 "max": 127,
 "min": 0
}

The eight are Audhulma, Vidofnir, Garm, Nidhogg, Excalibur, Ivaldi, Sieglinde, and Siegmund by their item constants (L538–L545). Pierce zeroes defense, and Great Shield zeroes the damage.

Cited by: Critical hit, Damage modifier, Hit chance

In the North American build, a battle runs the attacker's round, then the defender's counter, then one follow-up round by the unit whose attack speed beats the other's by 4 or more; attack speed is speed less the weapon's weight beyond constitution, at least 0. fe8/doubling

About: Fire Emblem: The Sacred Stones Follow-up attack

{
 "threshold": 4
}

A round that ends the battle stops the rest. A target with attack speed above 250 never allows a follow-up, and neither do the HP-halving weapon effect or the Monster Stone (L763–L781). A brave weapon strikes twice within each round (L806–L819).

Cited by: Follow-up attack

In the North American build, a level-up rolls each of seven stats on the character's own growth rate, with one random number from 0 to 99; each full 100 of a rate is a sure point, and if no stat rises, the game rerolls the stats in order up to twice, stopping at the first that does. fe8/growth-roll

About: Fire Emblem: The Sacred Stones Growth rate

{
 "stats": [
  "HP",
  "Str",
  "Skl",
  "Spd",
  "Def",
  "Res",
  "Lck"
 ],
 "rolls": 1,
 "range": [
  0,
  99
 ],
 "boost": 5,
 "rerollPasses": 2
}

The growth-boost state adds 5 to every rate on the first pass but not on the rerolls. A rate of exactly 100 is not reduced (growth > 100) and still rolls, and Roll1RN(100) always succeeds.

Cited by: Fire Emblem: The Sacred Stones, Growth rate

In the North American build, a non-player unit placed with autoleveling, unless it is a boss or its character number is below 0x40, adds to each stat one roll on its class's growth times its levels above 1, moved at random by up to an eighth of that product either way. fe8/autolevel

About: Fire Emblem: The Sacred Stones Growth rate

A unit in a promoted class first takes a promotion bonus's worth of levels the same way (L824–L825); UnitAutolevelCore ignores its class argument and reads the unit's current class. Player units and bosses, and units with character numbers below 0x40, take UnitAutolevelRealistic instead, which the atlas hasn't read.

Cited by: Growth rate

In the North American build, a player unit whose HP reaches 0 in combat is flagged dead and hidden rather than erased, unless it is a phantom, which is erased; the cleanup between chapters keeps the flag, clearing it only for a class with the supply attribute. fe8/permadeath

About: Fire Emblem: The Sacred Stones Permadeath

Enemy and allied units are erased outright too. The save code packs the dead flag (bmsave.c L345–L346), so it survives saving. What the supply attribute marks, and whether any other code revives a unit, the atlas hasn't read.

Cited by: Permadeath