How can i calculate damage Ramp up and Fall off?

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#1

Hello, what i want to achieve is some method or a formula i can use to calculate the damage based on distance(ramp up and fall off). Where if my gun’s origin position - the hitpart’s position magnitude is less than lets say 20 studs, it will incrementally do more damage until it reaches a maximum damage ramp up multiplier, and vice versa for falloff, where the maximum rampup multiplier is 1.5x more damage dealt and max damage falloff is 0.3x of your damage dealt.

I have looked all over the forums and even on youtube but i couldn’t find an exact way to calculate it. Any help is appreciated.

#2

The general topic for this is piecewise functions in order to tailor fit your damage system.

For your system

it would look like this where x represents the distance in studs.

The dropoff in this case I’m assuming is linear something like phantom forces drop off curve

image

image
image1286×711 63.3 KB

In code form it would look like this using math.clamp to supress the negative linear function.

local function linearDropOff(distance)
	return math.clamp(-(1/140)*(distance-20)+1.5,0.3,1.5)
end

I think it can be expressed in a better more customizable way let me think about it first to rearrange the equation.

3 Likes
How do i get the required damage depending on the magnitude?
#3

Found it, to tailor fit it better, you can use create the line from two points.

image

The trick is figuring out which variables represent and translating it to english.

local function linearDropOff(distance, distanceWhereDamageStartsDropping, distanceWhereDamageStaysMinimum, maxDamage, minDamage)
	
	local slope = (minDamage-maxDamage)/(distanceWhereDamageStaysMinimum-distanceWhereDamageStartsDropping)
	local solvedEq = slope*(distance-distanceWhereDamageStartsDropping)+maxDamage
	return math.clamp(solvedEq,minDamage,maxDamage)
end

here is the Desmos graph, try playing around with it.

image
image1163×615 54.6 KB

2 Likes
Make force based on damage?
#4

Maybe something like this??

local Distance = whatever --Total distance away from target
local Range = whatever --range of gun or whatever
local BaseDamage = whatever 
local NewDamage = nil
local Multiplier = nil
local Falloff = nil

if Distance =< 20 then -- 20 or closer
   Multiplier = (1.5/Distance)
   NewDamage = BaseDamage + (BaseDamage*Multiplier)
else--further then 20 studs
   local TempSum = Range/Distance
   Falloff = (.33/TempSum) -- subtract this from the base damage
   NewDamage = BaseDamage - Falloff*100
end

print("Damage was"..BaseDamage..". Now its "..NewDamage)

Hope this is of any help.

1 Like
#5

Could you explain the variables distanceWhereDamageStaysMinimum and distanceWhereDamageStartsDropping?

#6

Here’s a better explaination of what variables im using in my system to use for damage rampup and falloff.

I’m using a multiplier to scale damage based on distance, where the base damage(a constant) is multiplied by that calculated multiplier to get the actual damage.

multiplier for max ramp up is 1.5x and multiplier for max falloff is 0.3x

The max ramp up im using here is 5 studs away from target so if your closer than 5 studs it will still return your damage x 1.5 and max falloff is 70 studs so vice versa goes for falloff.
The base damage distance however is 20 so any distance less than 20 counts as rampup and any distance over 20 counts as falloff.

Hope this provides more background for my question

#7

So is it the same dropoff system as my graph is mentioning? Maybe a more visual method helps that’s what graphs are for.

As for the explanation
distanceWhereDamageStaysMinimum is equal to variable b in the desmos graph. Any distance more than this variable will stay the minimum multiplier of 0.3x

and distanceWhereDamageStartsDropping is equal to a in the desmos graph. Any distance more than this variable starts dropping the multiplier from 1.5x to 0.3x.

1 Like