Some in Game Formulas

Here may be found several formulas used by the game to calculate things

Level Scaling

For a given level [math]\displaystyle{ l }[/math] and given number to be scaled [math]\displaystyle{ x }[/math] the resulting number is given by

[math]\displaystyle{ x*(1.07^{max(l+1,0)}) }[/math]

Rankmod

Rankmod is more complicated, in part because the scaling is different for various types of values

Rank name	Generic value	Reward Scaling	Damage Scaling	Status magnitude scaling	Loot Scaling	"Speed" modifier	MaxHP bonus
Underling	30	10	30	30	[math]\displaystyle{ \frac{1}{5} }[/math]	[math]\displaystyle{ \frac{1}{10} }[/math]	1
mook	30	20	40	40	[math]\displaystyle{ \frac{1}{4} }[/math]	[math]\displaystyle{ \frac{1}{5} }[/math]	1
Minion	50	40	60	60	[math]\displaystyle{ \frac{1}{2} }[/math]	[math]\displaystyle{ \frac{1}{3} }[/math]	1
Mid Boss	65	60	75	75	[math]\displaystyle{ \frac{1}{1.5} }[/math]	0.6	1
Hard Boss	160	150	180	200	3	2	[math]\displaystyle{ \frac{x \times 5}{2} }[/math]
Final Boss	200	200	250	400	6	5	[math]\displaystyle{ \frac{x \times 15}{2} }[/math]
[math]\displaystyle{ r }[/math] where r is a number	[math]\displaystyle{ r }[/math]	[math]\displaystyle{ r }[/math]	[math]\displaystyle{ \begin{cases} r&r\leq 100\\ \frac{(r - 100)*16}{10}+100&r\gt 100 \end{cases} }[/math]	[math]\displaystyle{ \begin{cases} r&r\leq 100 \\ (r-100) \times 2+100 & r \gt 100 \end{cases} }[/math]	[math]\displaystyle{ \begin{cases} r&r\leq 120\\ \frac{(r-120)*6+100}{100}&r\gt 120 \end{cases} }[/math]	[math]\displaystyle{ \frac{r}{100} }[/math]	[math]\displaystyle{ \begin{align} l=&\begin{cases} 100&r\lt 100\\ \frac{(r-100)\times 5}{2}+100&100\lt r\lt 200\\ \frac{500+(r-200)\times 6}{2}&r\gt 200 \end{cases}\\ \frac{l }{100}& \end{align} }[/math]