On a game I am working on, I would like to include exponential growth, but a custom block that repetitively multiplies some amount of times is lagging my game a lot (because it has to sometimes multiply 50000 times). I think there should be a math block for x^y.

would repeat (y) {set x to (x*x)} make a difference, where you increase y?

Any exponent y can be written as either 2z+1 (for odd exponents) or 2z (for even exponents) and

x^2z = x^z * x^z
x^(2z+1) = x^z * x^z * x

So by calculating x^z and using that, you have almost halved the number of multiplications than normally needed for x^y. This could then be extrapolated further as required.

But going back to what you said, an exponent block would be nice

I have a custom block here you can use.

You don't need a x^y block when you have e^ and ln.

x^y = e^(y*ln(x))

So you can calculate an exponent with one natural log, one multiplication and an inverse natural log.

drmcw wrote:

You don't need a x^y block when you have e^ and ln.

x^y = e^(y*ln(x))

So you can calculate an exponent with one natural log, one multiplication and an inverse natural log.

Admittedly that is rather more elegant than my suggestion

I'd still vote for an x^y block just for the sake of user friendliness though.

One thing to watch for when using the 10^ and log operators (or e^ and ln) is that you may not get exactly an integer result, even though your input values are integers (so x^y should be integer if both x & y are integers). -Rounding errors may give you something which is very close to, but not exactly, an integer.

Might not matter for what you have in mind, and if you know to expect an integer you can always “round” it, but thought I'd mention just in case…

drmcw wrote:

You don't need a x^y block when you have e^ and ln.

x^y = e^(y*ln(x))

So you can calculate an exponent with one natural log, one multiplication and an inverse natural log.

Thanks! I will try that!

Works like a charm! Thanks!

I made a script for you! https://scratch.mit.edu/projects/72768570/

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No need to post on a topic that's from 2013! Please avoid necroposting.

belugawhale wrote:

On a game I am working on, I would like to include exponential growth, but a custom block that repetitively multiplies some amount of times is lagging my game a lot (because it has to sometimes multiply 50000 times). I think there should be a math block for x^y.

I agree i need that

AMOGUSDOODLEGUY wrote:

belugawhale wrote:

On a game I am working on, I would like to include exponential growth, but a custom block that repetitively multiplies some amount of times is lagging my game a lot (because it has to sometimes multiply 50000 times). I think there should be a math block for x^y.

I agree i need that

Please do not necropost.
And see the project by @TheLogFather/@DadOfMrLog (the one in his signature).