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Library of the Ancients => Final Fantasy IV Research & Development => Topic started by: Deathlike2 on February 28, 2008, 01:18:58 AM

Title: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on February 28, 2008, 01:18:58 AM
I believe I've determined the basic damage algo for this game, feel free to dispute, question, add on, or blah as long as you provide some cool example that breaks my theory apart.

Attack Power:

Base Attack Power (fists) = Str/4 + Level/4
Base Attack Power (for non-bow weapons) = Weapon Attack Power + Str/4 + Level/4
Base Attack Power (for bow/arrow combo) = Bow Attack Power/2 + Str/4 + Arrow Attack Power
If using the arrow is not in the character's "primary hand", multiply 4/5  from result.
Note: Internally, the bow is stronger, but for some stupid reason it has to be crippled.
Base Attack Power (Yang - think FF1's black belt/master) = (Level+1)*2 + Str/4
**Base Attack Power (Edge - both hands in use) = Left Weapon Attack Power + Str/4 + Level/4 + Right Weapon Attack Power + Str/4 + Level/4
Base Attack Power (monster) = Whatever is listed by the game
**Note: If a shield is in any hand, Weapon Attack Power for that hand = 0.

Attack Power Modifiers:
Critical Hit = 3/2
Attacker Has Mini Status sets Base Attack Power = 1
Attacker Has Toad Status sets Base Attack Power = 1
**Target Has Elemental Immunity (Darkness and Zombies, but not limited to that enemy) sets Attack Power = 0
**Target Has Elemental Immunity and "Critical Hit" sets Attack Power = 25 (21 in FF4A)
Target Has Mini Status = 2
Target Has Toad Status = 2
Attacker Is Cursed = 1/2
Attacker Is Berserked = 3/2
Kick = 1/2
*Kick and Target is Flan/Pudding = 0
Dark Wave = 1/2
Dark Wave and Target is Undead = 1/8
Jump = 2
Power (aka Build Up in FF4) = 2
Deadly (FF4A only) = 3
**Target Resistant Vs Weapon Element (target resists or absorb element) = 1/2
**Target Weak Vs Weapon Element = 2
**Target Weak Vs Weapon Element (and is "Weak+") = 4
Attack Using Drain Elemental Weapon vs Target That Absorbs Any Elemental = 1/2
***Target Resistant vs Enemy Type/Race (monsters attacking specific armor) = 1/2
Target Weak vs Enemy Type/Race (weapon attacking specific monsters) = 4
Unapplicable = 1

If Base Attack Power > 255, Base Attack Power = 255.

Important Note: There is an order in which these modifiers are applied (from first to last)
Critical Hit, Statuses, Commands, Elemental, Enemy Type/Race

Critical hits apply against the weapon the character wields. Critical hit info found here: http://slickproductions.org/forum/index.php?topic=368.0
Statuses modify the attack power of the target, which override critical hits.
Certain commands ignore race and elemental multipliers (Kick, Dark Wave) while others do not (Jump, Build Up).

Note: If the target reacts to any of the elemental attacks, continue using the multiplier during an uninterrupted attack such as one given by Zeromus EG from FF4A. Stop using the multiplier when the uninterrupted attack ends. Elemental multipliers do not stack.

*Note: Flan/Puddings are immune to Kick, which automatically deals 0 (unseen) damage.

**Refer to this thread for physical elemental attacks: http://slickproductions.org/forum/index.php?topic=426.0
Note: Critical and Zombies vs Darkness Weaponry formula applies the same in FF4. The base power is lower in FF4A though.

***Note: Even if multiple weapons or multiple enemy types are exposed, the multiplier is applied only once. Therefore, stacking is unapplicable here.

Before You Start: Make sure to calculate the defense power of the target first before plugging in the numbers.

Attack Power = Base Attack Power * Attack Power Modifiers * (rand(100, 150)/100) -Target's Defense Power

If Attack Power< 0, Attack Power = 0.

Or... you could also say:

Attack Power = Base Attack Power * Attack Power Modifiers  * (rand (100, 150)/100)
If Attack Power < Target's Defense Power, then Attack Power = 0.
Else Attack Power -= Target's Defense Power.

Note: The randomization is done once for the attack.
If your attack multiplier is a multiple of 5, hit rate is 99%, and you aren't exposing enemy resistances,
all your attacks will be divisible by 5.
The randomization is redone in FF4A if Attack Power = 0 after a round of calculations.

Hit Rate:

Base Hit Rate (fists) = 50 + Level/4
Base Hit Rate (for non-bow weapons) = Weapon Hit Rate + Level/4
Base Hit Rate (for bow+arrow combo) = Bow Hit Rate + Level/4
Note: Arrows have no hit rate.
Base Hit Rate (for characters that are wielding two weapons) = (Left Weapon Hit Rate + Right Weapon Hit Rate)/2 + Level/4
Note: Only applies if both hands have weapons.
Base Hit Rate (monster) = Whatever is listed by the game

Hit Rate Modifiers:
Aim sets Hit Rate = 99.
Attacker is Blind = 1/2
**Attacker is in back row without a back row compatible weapon = 1/2
**Target is "considered" in the back row = 1/2
Unapplicable = 1
Note: Aim has the highest priority, regardless of the penalties.

Hit Rate = Base Hit Rate * Hit Rate Modifer

**Refer to this thread regarding hit rate being affected by the back row and the special bit for the weapons: http://slickproductions.org/forum/index.php?topic=455.0

If Hit Rate > 99, Hit Rate = 99.

Attack Multiplier:

Attack Multiplier (character) = Str/8 + Agi/16 + 1
Attack Multiplier (monster) = Whatever is listed by the game

Defense Power:

Base Defense (character) = sum of all defense ratings of armor + Vit/2
If unequipped for any part of the body (head, body, arm, and non-strong hand), armor for those sections = 0.
Base Defense (monster) = Whatever is listed by the game

Defense Power Modifiers:
Target has Mini status = 0
Target has Toad status = 0
Target is Cursed = 1/2
Dark Wave = 0
Parry/Defend = 2
Unapplicable = 1

If Base Defense > 255, Base Defense = 255.

Note: The above info is just there for the sake of reference since it normally doesn't occur.

Defense Power = Base Defense * Defense Power Modifers

Evade:

Base Evade (character) = sum of all evasion ratings of all armor equipped
If unequipped for the head, body, or arm, each unequipped section = 10% evade
Base Evade (monster) = 0
**Target has Immune bit set on equipment (characters only) sets Evade = 99
If Monster Defense = 255, Base Evade (monster) = 99.
Note: When Monster Defense is naturally at 255 (with no help from Protect), they are intentionally "invincible" to physical attacks.

If Base Evade > 99, Base Evade = 99.

**Note: Only applicable to the SNES versions of the game.

Evade Modifier:
Target is Blind = 1/2
Target has Frog Status = 0
Target has Mini Status = 0
Unapplicable = 1
Note: Statuses should not affect invincible monsters...

Evade = Base Evade * Evade Modifier

Defense Multiplier:

Defense Multiplier (character) = Agi/8
If at least one shield is equipped, Defense Multiplier += Level/16
Defense Multiplier (monster) = irrelevent
Since evade = 0, the defense multiplier is effectively ignored (think of Cid).
If Monster Defense = 255, Defense Multiplier (monster) = 99.
Note: When Monster Defense is naturally at 255 (with no help from Protect), they are intentionally "invincible" to physical attacks.

Undead Modifier:
Drain Elemental Attack vs Undead = -1
Unapplicable = 1

Absorb Modifier:
Absorb elemental multiplier = -1
Unapplicable = 1

Note: If the target is in the middle of an uninterruptable attack sequence and absorb one of the magical attacks,
all physical attacks in this sequence only are converted into healing.
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on February 28, 2008, 11:21:34 PM
Hopefully this works out right the first time...

Edit: We all know that's never really the case.

Code: [Select]
//Multiplier Madness! - These checks redo the attack multiplier based on hit rate and target's evasion.

New Attack Multiplier = Attacker's Attack Multiplier; // initial

while (Attacker's Attack Multiplier > 0)
{
 if (rand (0, 99) <= Attacker's Hit Rate) // check if individual hit is successful due to attacker's hit rate
 {
  while (Target's Defense Multiplier > 0)
  // consider the Defense Multiplier the number of chances to evade hits
  // we try again on failure and stop when there is no more
  {
   Target's Defense Multiplier--;
   if (rand (0,99) < Target's Evade) // see if the target evades the hit
   {
    New Attack Multiplier--;
    break; // exit this loop since target has evaded successfully
   }
  }
  else
  {
   Hit Success = true; // used for dual hit type of attacks
   if (Attack Power == 0) // GBA port only - noticable on Flan/Pudding enemies
   {
    rerandomize Attack Power Randomizer();
    New Attack Multiplier--; // "penalty" for dealing 0 damage on the hit is a reduced multiplier
   }
  }
 }
 else // executed when individual hit fails to hit target and ignores evade - think of Tellah's suckage
 {
  New Attack Multiplier--;
 }
 Attacker's Attack Mulitplier--;
}

Here we go!

Code: [Select]
Damage = New Attack Multiplier * Attack Power *  Undead Modifier * Absorb Modifier;

//if target is successfully hit, but can't quite pierce the target's armor...
if ((Hit Success == true) && (Damage == 0))
{
 Damage = 1;
}

//tests target hit to be inflicted with status effect(s), based on level
if (Attacker's Weapon.inflict status attributes() && !Target.resist status attributes() && Target.not dead())
{
 if (rand (0, Attacker's Level) >= rand (0, Target's Level))
 {
  Inflict status();
 }
}

Note: In theory, you can take 1 point of damage total from multiple attacks (such as the 2x attack from the Red Dragon... don't confuse this with the Attack Multiplier).. the last bit of psuedocode is to account for that behavior.
Title: Re: The Other Holy Grail - Attack Algo - Work In Progress
Post by: Phoenix on February 29, 2008, 12:47:33 AM
Nice work on all these, Deathlike2. Just curious, how did you figure all this out? Did you have something to go on, or was it just testing in battle? If so, that's pretty impressive.  :cycle:
Title: Re: The Other Holy Grail - Attack Algo - Work In Progress
Post by: Deathlike2 on February 29, 2008, 01:13:14 AM
Quote from: Phoenix on February 29, 2008, 12:47:33 AM
Nice work on all these, Deathlike2. Just curious, how did you figure all this out? Did you have something to go on, or was it just testing in battle? If so, that's pretty impressive.  :cycle:

Well, most of the work was derived by BSiron and pretty much nagging Dragonsbreathren for certain bits I needed to know. However, I still had to do some actual testing. The damage algorithm seems to be more FF1-ish but a bit more advanced which is how these numbers came to be.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on February 29, 2008, 05:18:14 AM
Bumping this to get some attention... many fixes/changes were made to improve the algo.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 01, 2008, 03:00:00 PM
Ok, fixed a major problem with the algo. Defense is always constant even if the defense mulitplier is 0.

The defense multiplier is actually more of an evade multiplier that is factored against the opponent's attack multiplier.
So when one gains another point for the defense multiplier, it doesn't quite "increase" your defense..
it only increases the chance of taking less damage due to evasion. Same goes for magic evade.

Defense power has a lesser impact in this game, not that it is useless, but evasion makes a greater impact on damage intake.
For Cid's sake, he will benefit much more with evasion than more defense and a 0% evade rate.

Once Edge or Rydia reaches the max defense multiplier via Agility, as a result they have uber damage intake ability against the majority,
if not all of the end game monsters. A defense rate of 12x or so makes one virtually invincible.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 02, 2008, 01:56:19 AM
Fixed a huge logical and mathematical error. The evade is not supposed to be tested against the hit rate, but that out of 100%.  :tongue:

Also, the hit to inflict status is most likely based on the Attacker's Hit Rate... given that enemies have none, and the only thing
making it difficult is the current character's hit rate (Charm Claw hurts Yang overall damage to an extent, but he's already freakishly powerful).
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 03, 2008, 06:37:30 PM
Updated info to deal with blind status and tweaked other status bits...
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 03, 2008, 09:33:23 PM
Updated with new blind status info.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 04, 2008, 12:23:49 AM
Forgot about Frog/Mini status causing evade to be nonexistant.. now fixed.

Also, testing shows that the Attack Power is directly multiplied by 4 with the enemy type/race modifier...
it took a while to realize this.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 04, 2008, 12:48:29 AM
Resistance to an enemy type has an monster attack power reduction of 1/4... not really monster attack power/4 (which would cripple them). Oh well.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 04, 2008, 03:25:32 PM
Updated Darkness/Immunity algo from testing.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 04, 2008, 05:55:31 PM
Updated info regarding damage dealt.
Did you ever notice that your attack damage more often than not is a factor of your attack multiplier?
Well, I've tweaked the formula to explain that phenomenon.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 08, 2008, 02:37:12 PM
Updated to describe FF4A's behavior against monsters with high defense.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 11, 2008, 07:00:28 PM
Added a few new commands to the list and the critical hit multiplier.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 13, 2008, 10:52:51 PM
Clarified sections regarding elementals with a separate thread.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 17, 2008, 10:52:59 PM
Updated thread to factor in Shields for Edge and criticial hit rate. I am pondering rewriting the attack multiplier section to show which is applied first... as the critical hit factor seems to be applied first.
Title: Re: The Other Holy Grail - Attack Algo - Done?
Post by: Deathlike2 on March 17, 2008, 10:57:37 PM
Info updated with hit rate status probability, which is based on level.
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on March 18, 2008, 08:13:28 AM
Included info about the Immunity bit for the SNES version of the game.
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on March 20, 2008, 01:24:46 AM
Updated blind status info.

Related threads:
http://slickproductions.org/forum/index.php?topic=366.0
http://slickproductions.org/forum/index.php?topic=442.0
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on March 21, 2008, 07:41:14 AM
Updated info regarding invinciblity vs physical attacks for monsters.
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on March 25, 2008, 06:04:30 PM
Updated hit rate data to support new hit rate findings in this thread: http://slickproductions.org/forum/index.php?topic=455.0
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on September 29, 2008, 06:06:19 PM
I've been on an insane roll this week.. and here's the new info.

Apparently race resistant armor reduces the monster's attack power by 1/2.

The simple test is to fight against the monster with a solo character while under Toad/Mini status... compare that damage with the character having a piece of equipment that resists that monster's race.

The damage dealt is obvious... especially when Toad/Mini doubles the attacker's attack power. The race resistant equipment removes that bonus so the monster will be dealing optimal damage.

The math is very simple and straight forward.

Carry on. I've fixed the algo on this post.
Title: Re: The Other Holy Grail - Attack Algo
Post by: Deathlike2 on November 17, 2008, 07:21:53 PM
Ok, I'm not updating this thread yet (probably needs an overhaul if anything), but the critical hit formula for bows is pretty much like this...

Bow's Attack Power/2 + Arrow's Attack Power + Str/4 + (Bow's Attack Power aka the critical hit bonus)...

This can also be rewritten as...

Bow's Attack Power * 3/2 + Arrow's Attack Power + Str/4