to: Someone who's good at math

Red Squirrel · Post by **Red Squirrel** » Sun Jun 03, 2007 7:58 pm

Ok I will be redesigning the loot system, at least, the part that generates the properties.

So I need to figure out some formulas, and I suck at math. So here's what I need.

A formula that returns a number from 1 to 100, and when given the value x, the chance of a higher number is higher. So for example, if x is 0, the chance of getting 1-10 is much higher, while if x is 1500 the chance of 90-100 is much higher (but can still get 1).

Basically, y is the loot intensity, and x is the luck.

Then I need another formula to take a value from 1 to 100 and turn it into a value from 1 to z, so if z is 15, 50 would translate to 7 (rounded).

So if anyone could post that, thanks!

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dprantl · Post by **dprantl** » Sun Jun 03, 2007 11:18 pm

Red Squirrel wrote:Then I need another formula to take a value from 1 to 100 and turn it into a value from 1 to z, so if z is 15, 50 would translate to 7 (rounded).

That one is super easy: (value / 100) * z.

I'm still thinking about the first one...

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dprantl · Post by **dprantl** » Mon Jun 04, 2007 1:05 am

Ok, so it really depends on what you want your graph shape to look like. Assuming the luck cap is 1500, if you want the luck chance to be completely linear, then:

y = x / 15

To have a really sharp increase and make luck mutually degressive (from 0 - 200 luck gives a larger bump than from 1200 - 1400), then you can have something like this:

y = log(x^13.67)

That one above is *really* sharp. Maybe a compromise would be:

y = sqrt(x * 6.67)

With this last one, 200 luck gives a ~36% boost, 750 luck gives a ~70% boost, 1000 luck gives an 82% boost, and 1300 luck gives a ~93% boost.

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Nosferatu · Post by **Nosferatu** » Mon Jun 04, 2007 9:34 am

nice

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Lymus · Post by **Lymus** » Mon Jun 04, 2007 10:53 am

slope m =Dy Dx=y2-y1 x2-x1=rise run
x =-b± ______
Öb2-4ac
2a

Nuf said....

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Nosferatu · Post by **Nosferatu** » Mon Jun 04, 2007 10:54 am

*is lost*

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Red Squirrel · Post by **Red Squirrel** » Mon Jun 04, 2007 1:14 pm

Oh and I forgot to mention this is something that has to work programaticly using a random function I'll just call it Rand() here for simplicity. Rand(b+1) returns a number between 0 and b. That would be 0 to 15 for HCI for example, and at high luck it needs to have a better chance of hitting the 15, but still have a chance to hit 1.

I might just do it in steps too, like for each 100 points of luck, a loop runs, and the highest number gets picked. or something. Theres also a random for the loot bonus to happen in first place, I think.

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Gaiava Arkkaza · Post by **Gaiava Arkkaza** » Mon Jun 04, 2007 1:39 pm

lol Those are times where I wish my math teacher was here.

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Lymus · Post by **Lymus** » Mon Jun 04, 2007 9:21 pm

Sorry I missed the fun. Your first question doesn't make any sense . If x is 0, you get 0 in your "answer", which directly conflicts with one of the conditions you gave in the original question.

I mean... there's no "chance" of returning different numbers (unless you taught C a special square root where it will return 50/50 chance of the positive or negative root!

)

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dprantl · Post by **dprantl** » Tue Jun 05, 2007 12:03 am

Lymus wrote:Sorry I missed the fun. Your first question doesn't make any sense . If x is 0, you get 0 in your "answer", which directly conflicts with one of the conditions you gave in the original question.

I mean... there's no "chance" of returning different numbers (unless you taught C a special square root where it will return 50/50 chance of the positive or negative root! )

Well, I assumed the graph would be used as a modifier with a randomizer function...

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Red Squirrel · Post by **Red Squirrel** » Tue Jun 05, 2007 12:31 am

yeah come to think of it don't think the random part can be done fully mathematicly. I'll come up with something for that.

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DOCTOR THUNDER · Post by **DOCTOR THUNDER** » Tue Jun 05, 2007 12:36 am

I worked really hard on this formula:

Loot = (cool factor + murder count)account age/[-1(forum posts)]

Cool Factor:
Thunder = 1000
Eby = 500
Red = Pi/-1 (he created the server)
Hector = 499
Brunus = 100
Nosferatu = .001

anyone else pick a number between 1 and 10, that will be your cool factor.

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Red Squirrel · Post by **Red Squirrel** » Tue Jun 05, 2007 12:49 am

Hmm I could add some char serial # checks in there

if(player.Serial == 0x0032F)coolnessfactor+=10;

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Nosferatu · Post by **Nosferatu** » Tue Jun 05, 2007 9:08 am

Your formulas are a little off

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Lymus · Post by **Lymus** » Tue Jun 05, 2007 12:52 pm

DOCTOR THUNDER wrote:I worked really hard on this formula:

Loot = (cool factor + murder count)account age/[-1(forum posts)]

Cool Factor:
Thunder = 1000
Eby = 500
Red = Pi/-1 (he created the server)
Hector = 499
Brunus = 100
Nosferatu = .001

anyone else pick a number between 1 and 10, that will be your cool factor.

Correction:

Loot= (cool factor + murder count)(account age[faction points+forum posts])

=P

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dprantl · Post by **dprantl** » Tue Jun 05, 2007 3:44 pm

Ok back to being serious, I have some additional ideas now that you mentioned how the randomizer works. You could make a function that calls rand a certain number of times, then picks the highest value. The number of runs would be dependent on the value returned from my graph above which is based on luck. So:

randRunNum = Math.Round( (Math.Sqrt( luck * 6.67 ) ) / 10 );

So the maximum number of times rand could run is 10, and minimum would of course be 1. I just made 10 up, so some testing could be done to come up with a different max iteration number. The higher the number, the better your chances of getting a higher intensity value.

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Red Squirrel · Post by **Red Squirrel** » Tue Jun 05, 2007 5:51 pm

The more I look at the loot code, the more I realize I should just leave it alone.

Problem is, its tied in to so many things, if I change any of it, I have to change tons of other stuff too. So I'll just try to improve the current code values instead to force it to give better overall loot.

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dprantl · Post by **dprantl** » Tue Jun 05, 2007 6:48 pm

Isn't it the case that luck only affects monster loot? If so, then you could just modify that part, leaving the rest alone.

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Red Squirrel · Post by **Red Squirrel** » Tue Jun 05, 2007 6:59 pm

Actually, it looks like loot gets generated BEFORE the monster dies... I don't understand why this is, but I'm rather shocked. The luck is checked... but the luck of who?! Its not dead yet. I'm experimenting with stuff atm, and I was messing with numbers, might be able to fix the existing code.

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DOCTOR THUNDER · Post by **DOCTOR THUNDER** » Tue Jun 05, 2007 7:05 pm

from how I understood it, there was different loot groups. higher luck bumps the loot up to the next group

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Red Squirrel · Post by **Red Squirrel** » Tue Jun 05, 2007 7:07 pm

yeah theres superboss and such, I bumped those numbers up, you can specify things like min max, and chance of that item dropping etc. most were already reasonable. I made a custom one and applied it to a custom mob, and none of the stuff is even dropping, so something is messed up somewhere else.

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Finlander · Post by **Finlander** » Tue Jun 05, 2007 7:27 pm

i bet its related to talismans again, like 99% if the issues.

Talismans, the source of evil.

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Red Squirrel · Post by **Red Squirrel** » Tue Jun 05, 2007 7:35 pm

nah talismans have nothing to do with it. They actually have their own random property generator built in, and its 100 times better then the loot one because of its simplicity.

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