Difference between revisions of "FF7/Battle/Damage Calculation"

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In Attacks, Items, and Weapons there exists a single byte that tells the Battle Engine how to calculate damage based on an attack's set Power and the characters stats. Physical and Magical will rely on the caster's "Attack" and "Magic Attack" stat respectively to calculate base damage. This byte is divided into two nybbles (four bits). Upper Nybble determines what considerations are made in calculating damage such as physical/magical, allowing criticals, how to calculate accuracy, etc. There are also three sets of known formulae that are paired with the Upper nybble values. These are selected in the Lower Nybble and determine how to calculate pre-defense damage. Actual calculation includes a random variance ([3841..4096] / 4096), a reduction based on a target's "Defense" or "Magic Defense" stats, and other status-related modifications depending on the type of damage. These will also trigger Physical and Magical Counter Attacks respectively.  
+
 
+
In Attacks, Items, and Weapons there exists a single byte that tells the Battle Engine how to calculate damage based on an attack's set Power and the characters stats. Physical and Magical will rely on the caster's "Attack" and "Magic Attack" stat respectively to calculate base damage. This byte is divided into two nybbles (four bits). Upper Nybble determines what considerations are made in calculating damage such as physical/magical, allowing criticals, how to calculate accuracy, etc. There are also three sets of known formulae that are paired with the Upper nybble values. These are selected in the Lower Nybble and determine how to calculate pre-defense damage. Actual calculation includes a random variance (&#91;3841..4096&#93; / 4096), a reduction based on a target's "Defense" or "Magic Defense" stats, and other status-related modifications depending on the type of damage. These will also trigger Physical and Magical Counter Attacks respectively.
For more details, these can be considered Base Damage Modifiers as described in Terence Fergusson's [http://www.gamefaqs.com/console/psx/file/197341/22395 Battle Mechanics FAQ].<br/>
+
For more details, these can be considered Base Damage Modifiers as described in Terence Fergusson's [http://www.gamefaqs.com/console/psx/file/197341/22395 Battle Mechanics FAQ].
''This [[FF7/DamageFormula|more accurate damage formula page]] contains more detailed information.''
+
''This [https://wiki.ffrtt.ru/index.php/DamageFormula more accurate damage formula page] contains more detailed information.''
 
+
{| class="wikitable"
{| border="1" cellpadding="3" cellspacing="1" align="center"  style="border: 1px solid black; border-collapse: collapse;"
+
|-
! style="background:rgb(204,204,204); width=50px;" align="center" | Upper Value
+
! Upper Value
! style="background:rgb(204,204,204)" | Considerations
+
! Considerations
! style="background:rgb(204,204,204)" | Lower Value
+
! Lower Value
! style="background:rgb(204,204,204)" | Formula [Damage = ]
+
! Formula &#91;Damage = &#93;
! style="background:rgb(204,204,204)" | Sadness Check
+
! Sadness Check
! style="background:rgb(204,204,204)" | Split Damage
+
! Split Damage
! style="background:rgb(204,204,204)" | Barrier Check
+
! Barrier Check
! style="background:rgb(204,204,204)" | Variance
+
! Variance
 
|-
 
|-
| align="center" | 0X
+
| 0X
 
| Physical, 100% hit rate
 
| Physical, 100% hit rate
| align="center" | X0
+
| X0
 
| No Damage calculation
 
| No Damage calculation
 
|  
 
|  
 +
<br/>
 
|  
 
|  
|
+
<br/>
|
+
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| align="center" | 1X
+
| 1X
 
| Physical, Use PAccuracy, Allow Critical
 
| Physical, Use PAccuracy, Allow Critical
| align="center" | X1
+
| X1
| (Power / 16) * (Stat + [(Level + Stat) / 32] * [(Level * Stat) / 32])
+
| (Power / 16) * (Stat + &#91;(Level + Stat) / 32&#93; * &#91;(Level * Stat) / 32&#93;)
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
 
|-
 
|-
| align="center" | 2X
+
| 2X
 
| Magical, Use MAccuracy
 
| Magical, Use MAccuracy
| align="center" | X2
+
| X2
 
| (Power / 16) * ((Lvl + Stat) * 6)
 
| (Power / 16) * ((Lvl + Stat) * 6)
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
 
|-
 
|-
| align="center" | 3X
+
| 3X
 
| Physical, 100% hit rate
 
| Physical, 100% hit rate
| align="center" | X3
+
| X3
 
| HP * (Power / 32)
 
| HP * (Power / 32)
|
+
|  
|
+
<br/>
|
+
|  
|
+
<br/>
 +
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| align="center" | 4X
+
| 4X
 
| Magical, 100% hit rate
 
| Magical, 100% hit rate
| align="center" | X4
+
| X4
 
| MHP * (Power / 32)
 
| MHP * (Power / 32)
|
+
|  
|
+
<br/>
|
+
|  
|
+
<br/>
 +
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| align="center" | 5X
+
| 5X
 
| Magical, 100% hit rate
 
| Magical, 100% hit rate
| align="center" | X5
+
| X5
 
| (Power * 22) + ((Level + Stat) * 6)
 
| (Power * 22) + ((Level + Stat) * 6)
|
+
|  
| align="center" | Yes
+
<br/>
| align="center" | Yes
+
| Yes
| align="center" | Yes
+
| Yes
 +
| Yes
 
|-
 
|-
| align="center" | 8X
+
| 8X
 
| Magical, Hit chance MOD target level = hit
 
| Magical, Hit chance MOD target level = hit
| align="center" | X6
+
| X6
 
| Power * 20
 
| Power * 20
|
+
|  
|
+
<br/>
|
+
|  
|
+
<br/>
 +
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| align="center" | 9X
+
| 9X
 
| Magical, "Manipulate" accuracy
 
| Magical, "Manipulate" accuracy
| align="center" | X7
+
| X7
 
| Power / 32
 
| Power / 32
|
+
|  
|
+
<br/>
|
+
|  
| align="center" | Yes
+
<br/>
 +
|  
 +
<br/>
 +
| Yes
 
|-
 
|-
| align="center" | BX
+
| BX
 
| Physical, use PAccuracy
 
| Physical, use PAccuracy
| align="center" | X8
+
| X8
 
| Recovery
 
| Recovery
|
+
|  
|
+
<br/>
|
+
|  
|
+
<br/>
 +
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| style="border-style: solid none solid solid; background:rgb(204,204,255)" align="center" colspan="2" rowspan="3" | &nbsp;
+
| style="background: rgb(204,204,255)" rowspan="2" colspan="2" align="center" |  
| align="center" | X9
+
| X9
 
| Throw
 
| Throw
|
+
|  
|
+
<br/>
|
+
|  
|
+
<br/>
 +
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| align="center" | XA
+
| XA
 
| Coin
 
| Coin
|
+
|  
|
+
<br/>
|
+
|  
|
+
<br/>
 +
|  
 +
<br/>
 +
|  
 +
<br/>
 
|-
 
|-
| style="border-style: solid none solid none; background:rgb(204,204,255)" align="center" colspan="2" | &nbsp;
+
|
| style="border-style: solid solid solid none; background:rgb(204,204,255)" align="center" colspan="4" rowspan="19" | &nbsp;
+
|
 
|-
 
|-
| align="center" | 6X
+
| 6X
 
| Physical, Use PAccuracy, Allow Critical, Special Formulae
 
| Physical, Use PAccuracy, Allow Critical, Special Formulae
| align="center" | X0
+
| X0
 
| 100% User's HP
 
| 100% User's HP
 +
| style="background: rgb(204,204,255)" rowspan="18" colspan="4" align="center" |
 
|-
 
|-
| align="center" | 7X
+
| 7X
 
| Magical, Use MAccuracy, Special Formulae
 
| Magical, Use MAccuracy, Special Formulae
| align="center" | X1
+
| X1
 
| User's MHP - HP
 
| User's MHP - HP
 
|-
 
|-
| style="border-style: solid none solid solid; background:rgb(204,204,255)" align="center" colspan="2" rowspan="7" | &nbsp;
+
| style="background: rgb(204,204,255)" rowspan="6" colspan="2" align="center" |  
| align="center" | X8
+
| X8
| Dice Roll<sup>[NOTE]</sup> x 100
+
| Dice Roll<sup>&#91;NOTE&#93;</sup> x 100
 
|-
 
|-
| align="center" | X9
+
| X9
 
| Number of Escapes * 256
 
| Number of Escapes * 256
 
|-
 
|-
| align="center" | XA
+
| XA
 
| Target's HP - 1
 
| Target's HP - 1
 
|-
 
|-
| align="center" | XB
+
| XB
 
| Number of hours on game clock * 100 + number of minutes in game clock
 
| Number of hours on game clock * 100 + number of minutes in game clock
 
|-
 
|-
| align="center" | XC
+
| XC
| 10 x Target's Kills  
+
| 10 x Target's Kills
 
|-
 
|-
| align="center" | XD
+
| XD
 
| 1111 x Target's Materia
 
| 1111 x Target's Materia
 
|-
 
|-
| style="border-style: solid none solid none; background:rgb(204,204,255)" align="center" colspan="2" | &nbsp;
+
|
 
|-
 
|-
| align="center" | AX
+
| AX
 
| Same as 11h, but allow alterations to the final damage or power of attack
 
| Same as 11h, but allow alterations to the final damage or power of attack
| align="center" | X0
+
| X0
| Damage * (1 + [User's Status Effects <sup>See NOTE</sup>])
+
| Damage * (1 + &#91;User's Status Effects <sup>See NOTE</sup>&#93;)
 
|-
 
|-
| style="background:rgb(204,204,255)" align="center" colspan="2" rowspan="8" | &nbsp;
+
| style="background: rgb(204,204,255)" rowspan="8" colspan="2" align="center" |  
| align="center" | X1
+
| X1
| Damage * (2 if Near-Death, 4 if in D.Sentence [can stack to 8], 1 if neither)  
+
| Damage * (2 if Near-Death, 4 if in D.Sentence &#91;can stack to 8&#93;, 1 if neither)
 
|-
 
|-
| align="center" | X2
+
| X2
| Damage * (1 + Dead Allies)  
+
| Damage * (1 + Dead Allies)
 
|-
 
|-
| align="center" | X3
+
| X3
| Power becomes average of all Targets' Levels  
+
| Power becomes average of all Targets' Levels
 
|-
 
|-
| align="center" | X4
+
| X4
 
| Power becomes 1 + ( ( Power * 3 * HP ) / MHP )
 
| Power becomes 1 + ( ( Power * 3 * HP ) / MHP )
 
|-
 
|-
| align="center" | X5
+
| X5
 
| Power becomes 1 + ( ( Power * 3 * MP ) / MMP )
 
| Power becomes 1 + ( ( Power * 3 * MP ) / MMP )
 
|-
 
|-
| align="center" | X6
+
| X6
| Power becomes 1 + ( Power * [AP on Weapon <sup>See NOTE</sup> / 10000] / 16 )
+
| Power becomes 1 + ( Power * &#91;AP on Weapon <sup>See NOTE</sup> / 10000&#93; / 16 )
 
|-
 
|-
| align="center" | X7
+
| X7
| Power becomes 10 + ( [Character's Kills / 128] * Power) / 16 )
+
| Power becomes 10 + ( &#91;Character's Kills / 128&#93; * Power) / 16 )
 
|-
 
|-
| align="center" | X8
+
| X8
| Power becomes 1 + ( [Limit Level * Limit Units / 16] * Power ) / 16  
+
| Power becomes 1 + ( &#91;Limit Level * Limit Units / 16&#93; * Power ) / 16
 
|}
 
|}
 +
NOTES: For the X8 special formula, the game will "grant" between two and six dice based on level (one additional for every ten levels above 20, max 6). The values of each of these dice will be added and then multiplied by the greatest number of repeating values (not the number of occurrences of the highest value).
 +
Ex: The values 2, 3, 5, 5, 2, 2 come up. The values are added (19) then, since there are three twos, it is multiplied by three.
 +
For A0 damage multiplier, the multiplier is increased by one for the following effects on the user:
 +
* Near-death
 +
* Poison
 +
* Sadness
 +
* Silence
 +
* Slow
 +
* Darkness
 +
and increased by two for the following:
 +
* D.Sentence
 +
* Slow-numb
  
<br/>
+
For A6 multiplier, Mastered Materia will use the highest level of AP they can hold.
NOTES:
+
ex. When Knights of Round is mastered, its AP is set to 16,777,215 in the materia menu. Since KoR's level 5 AP requirement is 500,000 only 500,000 will be considered in the total.  
For the X8 special formula, the game will "grant" between two and six dice based on level (one additional for every ten levels above 20, max 6).
 
The values of each of these dice will be added and then multiplied by the greatest number of repeating values (not the number of occurrences of the highest value).
 
  
Ex:
+
Any damage formula on an attack can still set status, but standard damage formula 0X will not apply any visual changes due to effects.
The values 2, 3, 5, 5, 2, 2 come up. The values are added (19) then, since there are three twos, it is multiplied by three.
 
  
For A0 damage multiplier, the multiplier is increased by one for the following effects on the user:
+
Ex. Midgar Zolom's "Change" attack is damage type 00h, but gets set to poison him when he uses it. He will not glow green until he is targeted by another command that is not damage type 00h.
*Near-death
 
*Poison
 
*Sadness
 
*Silence
 
*Slow
 
*Darkness
 
and increased by two for the following:
 
*D.Sentence
 
*Slow-numb
 
<br/>
 
For A6 multiplier, Mastered Materia will use the highest level of AP they can hold.<br/>
 
ex. When Knights of Round is mastered, its AP is set to 16,777,215 in the materia menu. Since KoR's level 5 AP requirement is 500,000 only 500,000 will be considered in the total.
 
<br/><br/>Any damage formula on an attack can still set status, but standard damage formula 0X will not apply any visual changes due to effects.<br/><br/>
 
Ex.
 
Midgar Zolom's "Change" attack is damage type 00h, but gets set to poison him when he uses it. He will not glow green until he is targeted by another command that is not damage type 00h.
 

Latest revision as of 05:11, 23 May 2019

In Attacks, Items, and Weapons there exists a single byte that tells the Battle Engine how to calculate damage based on an attack's set Power and the characters stats. Physical and Magical will rely on the caster's "Attack" and "Magic Attack" stat respectively to calculate base damage. This byte is divided into two nybbles (four bits). Upper Nybble determines what considerations are made in calculating damage such as physical/magical, allowing criticals, how to calculate accuracy, etc. There are also three sets of known formulae that are paired with the Upper nybble values. These are selected in the Lower Nybble and determine how to calculate pre-defense damage. Actual calculation includes a random variance ([3841..4096] / 4096), a reduction based on a target's "Defense" or "Magic Defense" stats, and other status-related modifications depending on the type of damage. These will also trigger Physical and Magical Counter Attacks respectively. For more details, these can be considered Base Damage Modifiers as described in Terence Fergusson's Battle Mechanics FAQ. This more accurate damage formula page contains more detailed information.

Upper Value Considerations Lower Value Formula [Damage = ] Sadness Check Split Damage Barrier Check Variance
0X Physical, 100% hit rate X0 No Damage calculation





1X Physical, Use PAccuracy, Allow Critical X1 (Power / 16) * (Stat + [(Level + Stat) / 32] * [(Level * Stat) / 32]) Yes Yes Yes Yes
2X Magical, Use MAccuracy X2 (Power / 16) * ((Lvl + Stat) * 6) Yes Yes Yes Yes
3X Physical, 100% hit rate X3 HP * (Power / 32)





4X Magical, 100% hit rate X4 MHP * (Power / 32)





5X Magical, 100% hit rate X5 (Power * 22) + ((Level + Stat) * 6)


Yes Yes Yes
8X Magical, Hit chance MOD target level = hit X6 Power * 20





9X Magical, "Manipulate" accuracy X7 Power / 32




Yes
BX Physical, use PAccuracy X8 Recovery





X9 Throw





XA Coin





6X Physical, Use PAccuracy, Allow Critical, Special Formulae X0 100% User's HP
7X Magical, Use MAccuracy, Special Formulae X1 User's MHP - HP
X8 Dice Roll[NOTE] x 100
X9 Number of Escapes * 256
XA Target's HP - 1
XB Number of hours on game clock * 100 + number of minutes in game clock
XC 10 x Target's Kills
XD 1111 x Target's Materia
AX Same as 11h, but allow alterations to the final damage or power of attack X0 Damage * (1 + [User's Status Effects See NOTE])
X1 Damage * (2 if Near-Death, 4 if in D.Sentence [can stack to 8], 1 if neither)
X2 Damage * (1 + Dead Allies)
X3 Power becomes average of all Targets' Levels
X4 Power becomes 1 + ( ( Power * 3 * HP ) / MHP )
X5 Power becomes 1 + ( ( Power * 3 * MP ) / MMP )
X6 Power becomes 1 + ( Power * [AP on Weapon See NOTE / 10000] / 16 )
X7 Power becomes 10 + ( [Character's Kills / 128] * Power) / 16 )
X8 Power becomes 1 + ( [Limit Level * Limit Units / 16] * Power ) / 16

NOTES: For the X8 special formula, the game will "grant" between two and six dice based on level (one additional for every ten levels above 20, max 6). The values of each of these dice will be added and then multiplied by the greatest number of repeating values (not the number of occurrences of the highest value). Ex: The values 2, 3, 5, 5, 2, 2 come up. The values are added (19) then, since there are three twos, it is multiplied by three. For A0 damage multiplier, the multiplier is increased by one for the following effects on the user:

  • Near-death
  • Poison
  • Sadness
  • Silence
  • Slow
  • Darkness

and increased by two for the following:

  • D.Sentence
  • Slow-numb

For A6 multiplier, Mastered Materia will use the highest level of AP they can hold. ex. When Knights of Round is mastered, its AP is set to 16,777,215 in the materia menu. Since KoR's level 5 AP requirement is 500,000 only 500,000 will be considered in the total.

Any damage formula on an attack can still set status, but standard damage formula 0X will not apply any visual changes due to effects.

Ex. Midgar Zolom's "Change" attack is damage type 00h, but gets set to poison him when he uses it. He will not glow green until he is targeted by another command that is not damage type 00h.