poison condition damage formula

poisoncondition.lua

function getValue(x)
    local flipped = 0
    if x % 10 > 5 then
        flipped = 1
    end

    local f
    if (x + flipped) % 2 == 1 then
        f = math.floor
    else
        f = math.ceil
    end

    return f((20/x) * (1 + math.sin(math.pi * x)))
end

for i = 1, 22 do print(getValue(i)) end

formula for taking damage while being poisoned in a role-playing game

input: amount of damage player receives
output: how many times will the player take this amount of damage (eg. 1 damage 20 times, 2 damage 10 times)

Example:
let's say you're DM and the player gets poisoned for 100 damage
you sum f(1) + ... + f(n) until the sum is equal or greater than 100.
If your sum is greater than 100, you don't count the last tick.
The end result is that the player takes n damage f(n) times and n decreases until it reaches zero.