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How to write this math formula in Lua? — Gideros Forum

How to write this math formula in Lua?

Apollo14Apollo14 Member
edited August 2020 in Code snippets
Hi guys!
Do you know how to express these 2 math formulas in Lua?
(They're from this old gamasutra article on clicker games: https://www.gamasutra.com/blogs/AnthonyPecorella/20161013/282422/The_Math_of_Idle_Games_Part_I.php )
While putting all this together, I derived two very useful formulas that will save you from brute-forcing with some lengthy for-loops. The first will calculate the cost of bulk-buying generators, the second will calculate the max generators you can buy with your current funds. These will only work for simple exponential growth that doesn't have shifting costs or exponents, so make sure your particular application works for it. For both of these, the variables are:

$n$ = the number of generators to buy
$b$ = the base price
$r$ = the price growth rate exponent
$k$ = the number of generators currently owned
$c$ = the amount of currency owned

Formula 1:
$cost = b * \frac{r^k(r^n-1)}{r-1}$

Formula 2:
$max = floor(log_r(\frac{c(r-1)}{b(r^k)}+1))$
Many thx! :)
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