2013-07-07, 12:34 PM
I've taken a look at ATK-max(0,DEF-ATK*ATK/(DEF*2)). I am a little hesitant about using a completely different damage formula by default. But it has some nice properties.
For one. You can obviously never do more damage than the weapon+bonus itself. Which I think is very intuitive. It isn't as unforgiving as ATK-DEF would be.
Specifically I think you can start doing damage if your rating is within square root of 0.5 or 70.71% of the defense rating. That's a fairly auspicious number. It shows up in circles. For instance it's how far you can move diagonally when pressing the movement buttons.
Whereas with ATK-DEF you would have to be at 100% of the defense rating before you can deal damage. Which seems unrealistic, though I've no doubt games use this. It's reasonable to suspect that a weapon with a rating just below the armor can do more than 0 damage.
When the weapon and armor are equally matched you deal 55.90% of the weapon's damage. I am not sure if this number is significant (it almost definitely is) but it is the same number that SOM's classical formula yields. So that seems good (edited: I have a feeling this may be 50%. Could be rounding and stat bonuses were making the difference. Still seems like an awful big difference. May be worth revisiting sometime)
I expect when the weapon is 141.42% over the armor you will deal the weapon's maximum damage. This is square root of 2. Or the length of the diagonal of a square enclosing a unit circle. Whereas square root of 0.5 is the width of the square formed by that diagonal clipped at the edge of the circle. Anyway at this point the armor is no longer effective (edited: for the record, this hunch seems to checkout)
It would be easy to draw a diagram of these relationships. It would be a circle in a square with another square just inside one of the quadrants of the circle.
I mean. Considering the limited range of the stats. I think this is about as good as anything you could come up with. It's intuitive. And based on literally round numbers. And uses the two terms of the original formula exclusively.
EDITED: I like this formula I think. If this is what the bugfix does. Because there must be a fix. Then to get the original formula minus its bugs I guess you'd just have to manually use that formula itself. It seems unlikely that anyone would want to. And I kind of feel like weapons doing more damage than their ratings is a bug in and of itself. Plus I don't have the reservations for this formula that I have for ATK-DEF.
For one. You can obviously never do more damage than the weapon+bonus itself. Which I think is very intuitive. It isn't as unforgiving as ATK-DEF would be.
Specifically I think you can start doing damage if your rating is within square root of 0.5 or 70.71% of the defense rating. That's a fairly auspicious number. It shows up in circles. For instance it's how far you can move diagonally when pressing the movement buttons.
Whereas with ATK-DEF you would have to be at 100% of the defense rating before you can deal damage. Which seems unrealistic, though I've no doubt games use this. It's reasonable to suspect that a weapon with a rating just below the armor can do more than 0 damage.
When the weapon and armor are equally matched you deal 55.90% of the weapon's damage. I am not sure if this number is significant (it almost definitely is) but it is the same number that SOM's classical formula yields. So that seems good (edited: I have a feeling this may be 50%. Could be rounding and stat bonuses were making the difference. Still seems like an awful big difference. May be worth revisiting sometime)
I expect when the weapon is 141.42% over the armor you will deal the weapon's maximum damage. This is square root of 2. Or the length of the diagonal of a square enclosing a unit circle. Whereas square root of 0.5 is the width of the square formed by that diagonal clipped at the edge of the circle. Anyway at this point the armor is no longer effective (edited: for the record, this hunch seems to checkout)
It would be easy to draw a diagram of these relationships. It would be a circle in a square with another square just inside one of the quadrants of the circle.
I mean. Considering the limited range of the stats. I think this is about as good as anything you could come up with. It's intuitive. And based on literally round numbers. And uses the two terms of the original formula exclusively.
EDITED: I like this formula I think. If this is what the bugfix does. Because there must be a fix. Then to get the original formula minus its bugs I guess you'd just have to manually use that formula itself. It seems unlikely that anyone would want to. And I kind of feel like weapons doing more damage than their ratings is a bug in and of itself. Plus I don't have the reservations for this formula that I have for ATK-DEF.