[General] Math hard, want formula, too dumb

[ToolorDie]

I'm trying to make so player can level up and pick ability "health bonus"

I don't math math, help me please

Spoiler: :) I'm so smart

• Set NonHeroHealthBonus[UDex] = ((1 x (Level of Non-Hero Stats (Health Bonus)) for UDexUnits[UDex])) x 10)

I just want it so for that every additional level of the ability "health bonus" they don't get +10 per level, they get -


Level 0 = nothing, of course
Level 1 = +10 Health
Level 2 = +20 (Not just another 10) = 30
Level 3 = +30 (Not just another 10) = 60
Level 4 = + 40 (Not just another 10) = 100


Thanks a lot guys.

 

[HappyTauren]

Make 4 abilities, with 10/30/60/100hp bonus and remove/add them accordingly (since hp bonus doesn't work past lvl 1). Or create 10/20/30/40hp bonus abilities and just add them up.

Really, no need to do anything more complex.

 

[ToolorDie]

Make 4 abilities, with 10/30/60/100hp bonus and remove/add them accordingly (since hp bonus doesn't work past lvl 1). Or create 10/20/30/40hp bonus abilities and just add them up.

Really, no need to do anything more complex.

Forgot to mention, using bonus mod. Can get basically any number.

Just need the equation to have it so that a level up isn't +10 HP, it would be +20 if it was leveled up to level 2. It would be +30 if it were leveled up to level 3.

Spoiler: I don't think this formula is even right

Base Health is 10 + Level of Ability "Health Bonus" = Total Health

10 + level 0 "Health Bonus" = 10

10 + level 1 "Health Bonus" = 20

10 + level 2 "Health Bonus" = 30

10 + level 3 "Health Bonus" = 40

etc

You know what I mean? It is difficult to say because if I knew how to say it I would be able to type it right haha. Thanks a lot for your fast help!

 

[HappyTauren]

To use the bonus mod, the entire point of it is not to calculate anything yourself. Instead, just use its own functions to add the bonus you need.

 

[ToolorDie]

I know how to use bonus mod.

My only problem is I don't know how to use math lol

I need an equation please.

I think I am getting closer

Spoiler: I don't think this formula is even right

Base Health is 10 + Level of Ability "Health Bonus" = Total Health

level 0 "Health Bonus" = +0 Health
Base Health = 10

level 1 "Health Bonus" = +10
Base Health = 20

level 2 "Health Bonus" = +20 Health
Base Health = 40

level 3 "Health Bonus" = 30
Base Health = 70


etc

I'm using GUI

 

[HappyTauren]

You literally just need to add the difference between levels. I don't understand what the problem is. Just add 10 * level each time you level up the ability. It adds up to 100.

 

[ToolorDie]

You literally just need to add the difference between levels. I don't understand what the problem is. Just add 10 * level each time you level up the ability. It adds up to 100.

I don't have any problem buddy

Could you show me in trigger talk how to do what I asked for?

Spoiler: Right here friend

• Set NonHeroHealthBonus[UDex] = ((1 x (Level of Non-Hero Stats (Health Bonus)) for UDexUnits[UDex])) x 10)
• No problems, friend, just can't do math. Thanks again

 

[KILLCIDE]

Oh how convenient! I just lectured a Calculus 2 class on infinite series and sequences :>

The bonus for level 0 seems rather redundant, so I'm going to redefine the sequence as an = {10, 30, 60, 100...} where n represents the ability level (so we start at n = 1)

The terms of the sequence can easily factor into 10 or 5. However, since I'm thinking ahead, I'm pretty confident that 5 is our best choice. In order for 5 to become 10, we need to multiply by 2. Since n = 1, we need that to somehow become 2. In addition, if n = 2, we need our n to somehow transform into 6. Fortunately, I've been working with infinite sequences for a while... so I know that our sequence can be represented by: an = 5(n^2 + n)

Let's try it out!

If the ability level is 1, then a1 = 5((1)^2 + 1) = 5(1 + 1) = 5(2) = 10
If the ability level is 2, then a2 = 5((2)^2 + 2) = 5(4 + 2) = 5(6) = 30
a3 = 5((3)^2 + 3) = 5(9 + 3) = 5(12) = 60
a4 = 5((4)^2 + 4) = 5(16 + 4) = 5(20) = 100
a5 = 5((5)^2 + 5) = 5(25 + 5) = 5(30) = 150
and sooo on and so forth...​

 

[HappyTauren]

I already gave you the answer. Each level, add 10 * ability level HP. That way, on four levels it adds up to 100. 10 + 20 + 30 + 40 = 100. This is literally an arithmetic sequence, but you don't even need to understand math to grasp this concept at such a tiny scale.

Also this is not a triggering problem, this is a math problem, and I have not used GUI for literally 10 years at this point, and neither will I even try to decipher unreadable "GUI friendly" stuff.

 

[ToolorDie]

Oh how convenient! I just lectured a Calculus 2 class on infinite series and sequences :>

The bonus for level 0 seems rather redundant, so I'm going to redefine the sequence as an = {10, 30, 60, 100...} where n represents the ability level (so we start at n = 1)

The terms of the sequence can easily factor into 10 or 5. However, since I'm thinking ahead, I'm pretty confident that 5 is our best choice. In order for 5 to become 10, we need to multiply by 2. Since n = 1, we need that to somehow become 2. In addition, if n = 2, we need our n to somehow transform into 6. Fortunately, I've been working with infinite sequences for a while... so I know that our sequence can be represented by: an = 5(n^2 + n)

Let's try it out!

If the ability level is 1, then a1 = 5((1)^2 + 1) = 5(1 + 1) = 5(2) = 10
If the ability level is 2, then a2 = 5((2)^2 + 2) = 5(4 + 2) = 5(6) = 30
a3 = 5((3)^2 + 3) = 5(9 + 3) = 5(12) = 60
a4 = 5((4)^2 + 4) = 5(16 + 4) = 5(20) = 100
a5 = 5((5)^2 + 5) = 5(25 + 5) = 5(30) = 150
and sooo on and so forth...​

So I could just down and dirty into arrays using that?

 

[KILLCIDE]

@HappyTauren it's not a simple arithmetic sequence. The difference of two previous terms increase by 10 after each index.

@ToolorDie I have no idea what you just said.

 

[HappyTauren]

No, considering how bonus mod works, it is an arithmetic sequence, since he wants values to be 10/30/60/100, the real sequence he needs is 10/20/30/40 since that's the number he's adding via bonus mod. He doesn't need to care about the net total, he needs to care about the ADDITION.

It is literally down to adding 10 * ability level each level up. That's all. That's literally the solution to this problem. There's nothing else and I don't understand how this is hard to understand.

 

[ToolorDie]

- Edit

Hi I'm ToolorDie how can I scale upgrading health bonus

 

[KILLCIDE]

I got the impression he wants to add 10/30/60/100 bonus, not 10/20/30/40.

If the former, I guess my way works. If the latter, go with HappyTauren.

 

[HappyTauren]

Each level, add 10 * ability level HP.

Each level, add 10 * ability level HP.

Each level, add 10 * ability level HP.

I got the impression he wants to add 10/30/60/100 bonus, not 10/20/30/40.

If the former, I guess my way works. If the latter, go with HappyTauren.

I went with how he explained it. The number on the right of his equation is the net total, the numbers on the left are how he gets there. Either way, I am defeated.

 

[KILLCIDE]

Thanks for spamming what you said, let's look at what he said:

I just want it so for that every additional level of the ability "health bonus" they don't get +10 per level, they get...

 

[ToolorDie]

I got the impression he wants to add 10/30/60/100 bonus, not 10/20/30/40.



If the former, I guess my way works. If the latter, go with HappyTauren.

This is the one.

I love you Killcide

 

[HappyTauren]

Thanks for spamming what you said, let's look at what he said:

They don't get 10 per level in my case, either.
They get 10 * level. Not in total. Every level, that's the addition. As I said. That's my point. It adds up to 100 in the end, which is according to his original equation.

This is how bonus mod works. You ADD a bonus, and I said he should ADD 10 * level every level up. Bonus mod doesn't care about your total bonus, you should be thinking of increments.

 

[Tasyen]

You gain such behaviour if you use summationrow (not sure how that is called in english but try out Gaußsche Summenformel).

as jass with the wanted result.

function PrivateCalcValue takes real base, real addPerLevel, real levelSummationMulti, integer level returns real
   return base + addPerLevel * (level) + (levelSummationMulti * (level*(level+1)) / 2)
endfunction

If you want to mimic world Editors autofill feature you can do that below, less math.

function PrivateCalcValue takes real base, real addPerLevel, real multiOfPrev, real levelSummationMulti, integer level returns real
   local integer loopA = 2
   local real amount = base
   loop
       exitwhen loopA > level
       set amount = amount * multiOfPrev
       set amount = amount + addPerLevel
       set amount = amount + levelSummationMulti * loopA
       set loopA = loopA + 1
   endloop
   return amount
endfunction

 

[ToolorDie]

Thanks for spamming what you said, let's look at what he said:

They don't get 10 per level in my case, either.
They get 10 * level. Not in total. Every level, that's the addition. As I said. That's my point. It adds up to 100 in the end, which is according to his original equation.

This is how bonus mod works. You ADD a bonus, and I said he should ADD 10 * level every level up. Bonus mod doesn't care about your total bonus, you should be thinking of increments.

I just needed help with an equation trigger style, HappyTauren. I appreciate everyone's help. Killcide was pushing it in the right direction, I need it to basically be +10 each time, I think? I'm very sorry it is hard to be specific.

I do have excel, but I'm not great with it

 

[HappyTauren]

Alright, so tell me how much TOTAL bonus HP the unit is supposed to get from this ability at each level.

Let's say the unit has 1000 HP. And level 1 ability. How much HP should it have? How much should it have with level 2/3/4 ability? Let's go from there.

Again, this is not about any sort of an equation, you literally need to figure out how much you ADD each time, since that's all you need to care about with the bonus mod.

 

[ToolorDie]

Alright, so tell me how much TOTAL bonus HP the unit is supposed to get from this ability at each level.

Let's say the unit has 1000 HP. And level 1 ability. How much HP should it have? How much should it have with level 2/3/4 ability? Let's go from there.

Again, this is not about any sort of an equation, you literally need to figure out how much you ADD each time, since that's all you need to care about with the bonus mod.

I do not yet know exactly how I want to scale my game

As as a start I was using each "Health Bonus" point got a solid +20 HP

But I want it to scale! How can I do this? Eventually, 20 might become useless, right?

I want to scale this ability. I want it to do +20 HP at first level

So, if base Health is 10 HP, that puts them at 30 HP

I want to scale still. What now? OK, I'm thinking +30 at second level.

So, if base Health is 30 from last "Health Bonus" then at level 2 it base HP is 60

 

[Tasyen]

it is summation row.

• ( (level * (level + 1) ) / 2 ) x multi

 

[ToolorDie]

it is summation row.

• ( (level * (level + 1) ) / 2 ) x multi

I'm no math wiz, but this looks like it would work. Could you noob GUI this for me


- edit

Nevermind I will do that myself in the morning. Thanks guys, will update tomorrow

 

[HappyTauren]

That could be what he said. But it could also be something else. In summation, he has no idea what he really wants and has no idea how to express it. For now, though, since he wants the bonus to scale, he's probably the best off using your formula.

But here's the problem.

HE IS USING THE BONUS MOD.

HE NEEDS TO BE CONCERNED WITH HOW MUCH HE ADDS EACH LEVEL. That's what he needs to calculate to actually make this work.

 

[ToolorDie]

That could be what he said. But it could also be something else. In summation, he has no idea what he really wants and has no idea how to express it. For now, though, since he wants the bonus to scale, he's probably the best off using your formula.

But here's the problem.

HE IS USING THE BONUS MOD.

HE NEEDS TO BE CONCERNED WITH HOW MUCH HE ADDS EACH LEVEL. .

xoxo

 

[KILLCIDE]

Yeah you should stop beating around the bush and just say what the total bonuses are for each level. The sequence formula I provided adds 10/30/60/100 and possibly 150 if you wanted to keep up the pattern going. If you want something linear like 10/20/30/40, then this whole thread was pretty much pointless lol.

HappyTauren's will also work for 10/30/60/100 since he uses recursion (you can already see in this conversation who the programmer and who the mathematician is).

 

[ToolorDie]

Yeah you should stop beating around the bush and just say what the total bonuses are for each level. The sequence formula I provided adds 10/30/60/100 and possibly 150 if you wanted to keep up the pattern going. If you want something linear like 10/20/30/40, then this whole thread was pretty much pointless lol.

HappyTauren's will also work for 10/30/60/100 since he uses recursion (you can already see in this conversation who the programmer and who the mathematician is).

Wasn't trying to beat around the bush buddy. Was literally just asking for help. Thanks guys

 

[HappyTauren]

Have you figured how to make the bonus mod work, though? If you are using it, you'll have to add a bonus each time the ability is leveled up, so the total bonus will be the sum of all previous bonuses.

 

[ToolorDie]

Ok - this I understand. Test map tmrw

 

[Dr Super Good]

In worst case you could use a look up table, basically an array that maps ability level as an index to values.

Otherwise if you want it to naturally scale there are surprisingly few useful formula one can use.

Linear scale: {Constant} * {Ability Power} // Such as used by games like Xenoblade Chronicals 1.
Exponential scale: {Constant} * {Multiplier} ^ {Ability Power} // Such as used by games like Heroes of the Storm.
Logarithmic scale: {Constant} * ln({Base} + {Multiplier} * {Ability Power}) // Used to scale powerful effects similar to Diablo II.

Ability Power can be computed a variety of different ways. In Xenoblade it is usually some quantity of the hero stats. Heroes of the Storm it is simply just team level.

 

[ToolorDie]

In worst case you could use a look up table, basically an array that maps ability level as an index to values.

Otherwise if you want it to naturally scale there are surprisingly few useful formula one can use.

Linear scale: {Constant} * {Ability Power} // Such as used by games like Xenoblade Chronicals 1.
Exponential scale: {Constant} * {Multiplier} ^ {Ability Power} // Such as used by games like Heroes of the Storm.
Logarithmic scale: {Constant} * ln({Base} + {Multiplier} * {Ability Power}) // Used to scale powerful effects similar to Diablo II.

Ability Power can be computed a variety of different ways. In Xenoblade it is usually some quantity of the hero stats. Heroes of the Storm it is simply just team level.

This is very helpful. Thanks Doc. I thought about scaling it off of something like this:

unit's base health (from object editor, just a flat number) + 5%,10%,15% etc

where the right side is the bonus of max health based on the base health, the same one from object editor.

The problem I have is using items that increase max health too. The player can abuse this by equipping an item, accepting the level up, choosing the "Health Bonus" and then just remove the item.



I think I'm asking for something a lot more complex than what I thought I was asking for. I'm basically just asking for a spray-on scaling system huh? I promise I didn't mean to ask for that haha

 

[Dr Super Good]

To stop the abuse one can recompute the bonus amount on item pickup/drop. Remove the bonus previously being added then add a new bonus.

 

[ToolorDie]

I appreciate everyone's help - I have evolved what I'm doing into a new thread

Hope I am more clear in that one, and I have provided a demo map.

Thanks again