Heal Formula

[Nekonecat]

Russt has formed a better heal damage formula.
Here is a calculator based on his formula.

Ignore the rest of this post. Too bothersome to edit the rest of the post.























Please post your heal data here along with your stats.
I'm still working on this formula. Also, note that this is an approximation, not the formula made by the programmers.


I posted this before, but the post was hidden in another post and then wiped from the forum rollback.

I have been collecting data of max-heal's damage on a lone undead mushroom (magic defence = 30), and I found this approximation:


http://nekonecat.googlepages.com/healdmg2.htm - Heal calculator. Just plug and chug.

So far, I have found this approximation:
MAX DAMAGE =
0.0000295*LUK+0.01434)*MAGIC*INT (or use the calculator) This formula overestimates after a certain variable is reached.

MAX DAMAGE =
(-0.00000000930070097298*LUK^3 + 0.00000114245440636277*LUK^2 - 0.00000678550546220552*LUK + 0.0144845947915278) * MAGIC * INT




Or, if you have only 4 LUK:

Max= 0.0146*Magic*INT

Min= 0.00365*Magic*INT





How damage is divided towards targets (not counting yourself):

1 target: 100.00% of the calculated damage
2 targets: 78.91%
3 targets: 68.47%
4 targets: 62.26%
5 targets: 58.03%

I do have a calculator, but sometimes it tends to be down. (Google cache)


or y = 0.00003029030463055160x + 0.01432596195003470000
or y = 0.0000294x + 0.014326

Dаta: (more data scattered across this thread)

OGM Spoiler!

Data table. Notice how Damage-per-magic-and-int remains close to the same when LUK is constant.







Graph of LUK vs. damage-per-magic-and-int. It seems that it is linear. It may appear to be linear, but there is a slight curve that tends to be more noticable after LUK goes past a certain value.






Graph of Level vs. damage-per-magic-and-int, assuming that LUK doesn't affect the damage.

Notice how the points clump together at level 100, assuming LUK is not the factor; clumping should occur for all levels if level is a factor.

At level=88, there are 3 distict points visible; this is due to the LUK variations.

It is very probable that level isn't a factor in calculating damage. Now this doesn't actually prove that level doesn't play a part; the best way to see the effect of level is to have two characters with the exact same stats except level. However, if level did play a part, there would have been a discrepancy in the data.



srstarry's data
http://sleepywood.net/forum/showpost...2&postcount=27

Pearlite's data
http://forums.playpark.net/showthrea...108545&page=12

Also, I found that at LUK=4 heal's minimum-damage is around 25% of its maximum-damage.

So, these are the remaining tests to do:

* Verify that the equation is 100% correct (and maybe figure out how to remove the effects of 30 defense)

* Verify the effect of LUK, especially on minimum damage

* Verify exactly how having multiple monsters/party-members around affect heal's damage


------------------------------------------

Heal Recovery
The calculator.

The equation.
MAX = (1.132682429*10^-7*luk^2 + 3.368846366*10^-6*luk + 1.97124794*10^-3) * magic * int * healSkillLevel * multiplier
MIN = MAX*0.8

Multiplier values for # of party members:
1: 1
2: 0.607
3: 0.463
4: 0.407
5: (not available)
6: (not available)

EXP Gained
= round( recoveredHP / 25.25 )

or?

= round( recoveredHP / 25.97 )


I don't guarantee that this part is correct.


I have also posted an approximation of heal's HP recovery here. I haven't found the exact range, and I haven't tested the effect of LUK, though. Updated! See below.

Feel free to try the calculator and post your results, along with all your stats.

That last calculator tended to be off after a few hundred int; all the more I need other people to give me data [or I can do it on my own, which would take a lot longer].




------------------------------------------

Edit1:

Mm, I shouldn't really use the term mastery since mastery itself isn't the minimum damage for the other spells. Instead, I should call it minimum damage.

I have some data from my level 33 cleric:

OGM Spoiler!

Cleric
Level 33
171 INT
6 ? LUK
194 Magic
10 Heal

Range of level 10 heal on one undead mushroom: 32~145
...without 30 monster defense: 47~160
...and then if heal was level 30: 141~480

141/480 = 0.29375
...or 29% of max is the minimum damage. Note that I might not have found the absolute minimum value, and even if I did, all the assumptions and multiplication might have thrown the value off.

Ok, so now what? Well, let's see the theoretical max damage:
((0.0000295 * 6) + 0.01434) * 194 * 171 = 481.586958

Well look at that! The formula was only off by 1 point.

The data might not be the best, though, since the source is from a low-leveled cleric, and I assumed that half of the monster's defense would subtract from the damage.

I'll also try out a similar equation:
(0.00003*LUK+0.0143)*INT*MAGIC

It's the same equation, but the significant figures are modified a bit.

((0.00003 * 6) + 0.0143) * 194 * 171 = 480.35952

This formula is exactly on the spot. Again, there are a lot of variables involved and assumptions made, so this result alone should be taken with a grain of salt.

Anyways, I started another cleric-to-be on Bera, so I'll update this part once I have maxed my heal.

[Crimsonmyst]

Here's a suggestion that I hope will help you with your calculations: luk adds a tiny, fixed amount of damage, much like the secondary stats for other classes. This would make sense with improving mastery. When archers use melee weapons they hit incredibly stable, but very low. I'm thinking this would be similar.

[Jamonte]

So just to see if I am reading the chart correctly, Int does increase the amount of heal dmg?


If so, does the ammount of SP in Heal increase the damage as well?
Sorry if this is a silly question, I'm not experienced with clerics.

[buttwax]

why is magic*int in your equation

wouldnt it make more sense that its magic^2 since magic is a substat of int as int gives 1 magic and 1 mdef

[thunderstreak]

Good work, I'll test it when I get on later. =)

[Dazeonae]

Originally Posted by buttwax

why is magic*int in your equation

wouldnt it make more sense that its magic^2 since magic is a substat of int as int gives 1 magic and 1 mdef

A given amount of INT does not accurately represent a given amount of magic attack. It can be increased with scrolled earrings, or a number of different items. So they can be independant statistics because even though INT may directly affect magic attack, magic attack can be increased by other means and it does not affect the total INT.

[D-F1am3]

So LUK is better for priest?
interesting
good luck! I wish i had the patience to do something like this =/

[Nekonecat]

Originally Posted by Crimsonmyst

Here's a suggestion that I hope will help you with your calculations: luk adds a tiny, fixed amount of damage, much like the secondary stats for other classes. This would make sense with improving mastery. When archers use melee weapons they hit incredibly stable, but very low. I'm thinking this would be similar.

Ah, yes. LUK seems to act like the secondary stat similar to other classes, slowly raising the minimum damage and all. It's strange how LUK doesn't affect the rest of the magical skills. [1] [2]

Originally Posted by Jamonte

So just to see if I am reading the chart correctly, Int does increase the amount of heal dmg?


If so, does the ammount of SP in Heal increase the damage as well?
Sorry if this is a silly question, I'm not experienced with clerics.

Yes and yes. For the latter question, I would assume that heal's damage [tremendously] increases in a linear fashion as SP is added, keeping everything else is kept constant. 15 heal would do half the damage that a 30 heal could potentially do. I haven't tested this statement, though, so don't quote me on this particular response.

Originally Posted by Dazeonae

A given amount of INT does not accurately represent a given amount of magic attack. It can be increased with scrolled earrings, or a number of different items. So they can be independant statistics because even though INT may directly affect magic attack, magic attack can be increased by other means and it does not affect the total INT.

Precisely. I couldn't have explained it better myself.

Originally Posted by D-F1am3

So LUK is better for priest?
interesting
good luck! I wish i had the patience to do something like this =/

Actually, INT influences the damage of maxed-heal the most since it's one of the main multipliers of maxed-heal, and it also increments the magic stat. LUK barely adds to the maximum damage, and it increases the minimum damage at a slow rate; just like the effect that Crimsonmyst had described.

[HealPl0x]

good job

[tianshenfu]

Originally Posted by Nekonecat

Ah, yes. LUK seems to act like the secondary stat similar to other classes, slowly raising the minimum damage and all. It's strange how LUK doesn't affect the rest of the magical skills. [1] [2]

Actually, INT influences the damage of maxed-heal the most since it's one of the main multipliers of maxed-heal, and it also increments the magic stat. LUK barely adds to the maximum damage, and it increases the minimum damage at a slow rate; just like the effect that Crimsonmyst had described.

Wow, good job, I never know that LUK actually can affect heal's minimum damage. Let's see..INT increase heal's max. damage, while LUK increase the min. damage of heal, but however it dosen't affect any other skills such as SR, claw or HA, am I right?

So...in other words, to have a more stable damage, should priests add a lot of LUK? In either way, high LUK priests would be happy to hear that.

Oh yeah, and I'm happy that it's stickied now, so nobody would make a thread asking about the heal formula anymore.