## Discuss Scratch

- savaka
- Scratcher

1000+ posts

### Power block

(() ^ () :: operators)

This is necessary because there is no real workaround (AFAIK) that will work for all power calculations in Scratch.

Oh wait there is (credit to DadOfMrLog) but this workaround is huge and no reason to not just have the block

It also isn't too complicated for young people who may not have learned this math yet because this block already has more complicated math operations:

([sqrt v] of (9))The block could be positioned right above that block so both blocks with somewhat complex math are together.

*Last edited by savaka (Aug. 9, 2016 14:44:58)*

- drmcw
- Scratcher

1000+ posts

### Power block

You can use logarithms to do that.

([10^ v] of ((y) * ([log v] of (x))) // = x^y

*Last edited by drmcw (Sept. 11, 2013 12:22:57)*

- Lilifant7253
- Scratcher

1000+ posts

### Power block

You can do it like this too:

when gf clicked

set [variable1 v] to (1)

repeat (y)

set [variable1 v] to ((variable1) * (x))

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- drmcw
- Scratcher

1000+ posts

### Power block

Yes, but how many projects need a x^y block? yes, but same can be said of the change x/y by and go to blocks… They aren't necessary, but for new scratchers are a great help.

- jvvg
- Scratcher

1000+ posts

### Power block

That doesn't work for negative or non-integer powers, though. You can do it like this too:when gf clicked

set [variable1 v] to (1)

repeat (y)

set [variable1 v] to ((variable1) * (x))

*Last edited by jvvg (Sept. 11, 2013 17:39:29)*

jvvg

Administrator and backend engineer on the Scratch Wiki

Executive director of FutureSight Technologies

- savaka
- Scratcher

1000+ posts

### Power block

Does this work for all negatives and decimals? You can use logarithms to do that.([10^ v] of ((y) * ([log v] of (x))) // = x^y

- savaka
- Scratcher

1000+ posts

### Power block

I was thinking of making a calculator project.Yes, but how many projects need a x^y block? yes, but same can be said of the change x/y by and go to blocks… They aren't necessary, but for new scratchers are a great help.

- mitchboy
- Scratcher

1000+ posts

### Power block

It actually does. Check out my project to test non-integer numbers. I don't think it works with negatives.That doesn't work for negative or non-integer powers, though. You can do it like this too:when gf clicked

set [variable1 v] to (1)

repeat (y)

set [variable1 v] to ((variable1) * (x))

*Last edited by mitchboy (Sept. 11, 2013 21:42:01)*

Capsicum annuum.

- drmcw
- Scratcher

1000+ posts

### Power block

You can't make x negative.Does this work for all negatives and decimals? You can use logarithms to do that.([10^ v] of ((y) * ([log v] of (x))) // = x^y

- DadOfMrLog
- Scratcher

1000+ posts

### Power block

It actually does. Check out my project to test non-integer numbers. I don't think it works with negatives.That doesn't work for negative or non-integer powers, though. You can do it like this too:when gf clicked

set [variable1 v] to (1)

repeat (y)

set [variable1 v] to ((variable1) * (x))

It works fine for non-integer x, but as jvvg wrote, it can't work with non-integer *powers* (i.e. where y is not a whole number).

It will give an answer, because it will repeat a certain whole number of times [round(y) rather than floor(y), interestingly], but it will be wrong…

@savaka:

Note that using:

([10^ v] of ((y) * ([log v] of (x))) // = x^yor

([e^ v] of ((y) * ([ln v] of (x))) // = x^ymay give you a non-integer result even though both x and y are integers - because the log(x) [or ln(x)] won't be an integer, so there can be rounding errors when it then does 10 to the power [or e to the power] of that.

If you want to ensure you get exactly an integer (maybe for testing if it is less/greater/exactly some integer value) then you should round it.

Personally, I think it'd be nice to see this added somewhere - though it would unfortunately not be able to go into the current drop-down with the other less well-known maths operators (sqrt,abs,etc.) because it has two ‘slots’ rather than just the one. It would need to be on its own like ‘mod’. Or else that block could also become a drop-down, containing “mod” and ^. (But I haven't checked how that affects certain things in the way script is encoded…)

Unfortunately, those are the only really useful two-argument operators that I can think of (apart from the obvious ones like +, -, *, /, already elsewhere) - others start to become really rather obscure, and not so useful…

*Last edited by DadOfMrLog (Sept. 12, 2013 16:27:02)*

Alternate account: TheLogFather –– HowTos and useful custom blocks (see studio). Examples below…

- String manipulation - - - X to power of Y - - - Clone point to clone - Detect New Scratcher - Speed tests studio -

- DadOfMrLog
- Scratcher

1000+ posts

### Power block

You can't make x negative.Does this work for all negatives and decimals? You can use logarithms to do that.([10^ v] of ((y) * ([log v] of (x))) // = x^y

You need to check for zeros, though, because x^0=1 and 0^y = 0 unless x=y=0, in which case you should have 0^0=1 (surprisingly enough…)

So you can do the check for x being zero first, and make the result equal to one straight away if it is, otherwise then check if y=0, and if so set the result to zero straight away.

But dealing with negative x is possible under certain circumstances - if y is an integer then it's just a case of checking if y is even or odd, and using abs(x)^y - you negate the result if y is odd.

Fractional powers of negative numbers are rather more tricky to do if you're only able to deal with real numbers (I'd assume you don't want to get into the realm of complex numbers…)

*Last edited by DadOfMrLog (Sept. 12, 2013 16:47:58)*

Alternate account: TheLogFather –– HowTos and useful custom blocks (see studio). Examples below…

- String manipulation - - - X to power of Y - - - Clone point to clone - Detect New Scratcher - Speed tests studio -

- Lilifant7253
- Scratcher

1000+ posts

### Power block

Yes, you're right you've to do it like this. (but y has to be integer):when gf clicked

set [variable1 v] to (1)

repeat (y)

set [variable1 v] to ((variable1) * (x))

when gf clicked

set [variable1 v] to (1)

repeat ([amount v] of (y))

set [variable1 v] to ((variable1) * (x))

if <(y) < (0)>Of course there shouldn't be the leak between the repeat and the if block.

set [variable1 v] to ((1) / (variable1))

*Last edited by Lilifant7253 (Sept. 14, 2013 16:10:19)*

I've reached the 1000+ post rank on wednesday, 11th Sept., 2013 18:29 (German time) / 12:29 (Eastern Standard Time)

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- mathfreak231
- Scratcher

1000+ posts

### Power block

Sorry, but http://scratch.mit.edu/discuss/topic/9907/ .

I remember adding that thread as a citation on Solving Exponents…

I remember adding that thread as a citation on Solving Exponents…

*Last edited by mathfreak231 (Sept. 16, 2013 21:50:54)*

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- firedrake969_test
- Scratcher

500+ posts

### Power block

Would adding this make it easier for new Scratchers? Yup.

And why would you add it as a citation? It doesn't accept OR deny the block.

And why would you add it as a citation? It doesn't accept OR deny the block.

Alt account of Firedrake969.

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- mathfreak231
- Scratcher

1000+ posts

### Power block

It shows that at least 1 scratcher supports it. Would adding this make it easier for new Scratchers? Yup.

And why would you add it as a citation? It doesn't accept OR deny the block.

And I meant it as something that has already been suggested.

3DS FC: 3239-6065-2543 (Ask me before adding) | AS: Alex~ | X: Alex (DWS)

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- savaka
- Scratcher

1000+ posts

### Power block

http://scratch.mit.edu/discuss/topic/9907/ .Sorry, but

I remember adding that thread as a citation on Solving Exponents…

Would adding this make it easier for new Scratchers? Yup.

And why would you add it as a citation? It doesn't accept OR deny the block.

I don't understand what you're talking about.It shows that at least 1 scratcher supports it. Would adding this make it easier for new Scratchers? Yup.

And why would you add it as a citation? It doesn't accept OR deny the block.

And I meant it as something that has already been suggested.

*Last edited by savaka (Sept. 21, 2013 11:14:27)*

- scratchisthebest
- Scratcher

1000+ posts

### Power block

by this logic, we can remove “move (10) steps”

why not just use

why not just use

go to x: ((x position) + ([cos v] of ((direction)*(amt)))) y ((x position) + ([sin v] of ((direction)*(amt))))i mean jeez so simple

I am a Lava Expert

- xlk
- Scratcher

100+ posts

### Power block

and while we are at it, the “wait” block is also unnecessary, as you can use the timer for it.

BTW, I remember reading somewhere that scratch's blocks are faster than a series of blocks doing the same, so (()^()) would be technically speaking faster than doing logarithms. I mean, is it that hard to add scratchteam?

BTW, I remember reading somewhere that scratch's blocks are faster than a series of blocks doing the same, so (()^()) would be technically speaking faster than doing logarithms. I mean, is it that hard to add scratchteam?