Scratch

Oh, sorry, it should have been:

I think maybe we could add in complex number support, as well as things like this:

<(x)^(y)> //computes x^y
<log (x) base (y)> //computes ln(x)/ln(y), the logarithm of x to base y

,
and sin, cos, tan, asin, acos, and atan taken out of the sqrt, e^, 10^, log, ln, etc. menu and put in a block which is like this:

<[sin v] of (x) in [degrees v]>

. Note that the first dropdown menu should contain sin, cos, tan, asin, acos, and atan and the second should contain degrees, radians, and hyperbolic.

Sorry, maybe instead of adding hyperbolic to the second dropdown list, there should be sinh, cosh, tanh, asinh, acosh, and atanh added to the e^, 10^, log, ln, sqrt, etc. menu.

zubblewu wrote:

Yes. Support. I'd love to choose degrees or radians and have better exponentation and logarithms.

Did you remember the complex numbers and the hyperbolic trig functions?

Yes. I thought about it, then I decided that we could do 1 divided by the functions we already have, then I realized it would be just as much of a shortcut as tan(x)=sin(x)/cos(x). Also maybe cotangent and cosecant.

Support, esp. the complex numbers. Would be realyl helpful for things like mandelbrot set, though you're going to have a hard time to explain it to the little kids.

Yes. Then we could do things like:

<[e^ v] of (3.14159265i)>

and

<[sqrt v] of <[log v] of 0.1>>

In fact, I made a program that was supposed to be able to calculate exponentials and absolute values of complex numbers, until I realized that De Moivre's formula e^(ix)=cos(x)+sin(x)i, was being computed in radians. The code I used was:

say [I can calculate the exponential or absolute value of a complex number.]
ask [What is the real part of the complex number?] and wait
set [rez0 v] to (answer)
ask [What is the imaginary part of the complex number?] and wait
set [imz0 v] to (answer)
ask [Do you want the exponential or absolute value of the number? (0=exponential, 1=absolute value)] and wait
set [op v] to (answer)
if <(op)=0>
set [rez1 v] to <<[e^ v] of (rez0)>*<[cos v] of (imz0)>>
set [imz1 v] to <<[e^ v] of (rez0)>*<[sin v] of (imz0)>>
else
if <(op)=1>
set [rez1 v] to <[sqrt v] of <<(rez0)*(rez0)>+<(imz0)*(imz0)>>>
set [imz1 v] to (0)
end

The code should have been:

say [I can calculate the exponential or absolute value of a complex number.]
ask [What is the real part of the complex number?] and wait
set [rez0 v] to (answer)
ask [What is the imaginary part of the complex number?] and wait
set [imz0 v] to (answer)
ask [Do you want the exponential or absolute value of the number? (0=exponential, 1=absolute value)] and wait
set [op v] to (answer)
if <(op)=0>
set [rez1 v] to <<[e^ v] of (rez0)>*<[cos v] of (imz0) in [radians v]>>
set [imz1 v] to <<[e^ v] of (rez0)>*<[sin v] of (imz0) in [radians v]>>
else
if <(op)=1>
set [rez1 v] to <[sqrt v] of <<(rez0)^2>+<(imz0)^2>>>
set [imz1 v] to (0)
end

Or maybe we could just use the e^ and abs functions with complex number support.

kayybee wrote:

wiz99903 wrote:

<(x)^(y)> //computes x^y

<log (x) base (y)> //computes ln(x)/ln(y), the logarithm of x to base y

x^y is easily calculatable using repeats. It may not be efficient, but it works.
Why would you need a block to calculate ln(x)/ln(y) if there already exists ln(z) and a/b?

Neither of those are there. I'm not sure if the log had a work around, I don't remember right now.. To the power of can be worked around with e and ln or the normal log and ^10. Still, these would be very useful.

wiz99903 wrote:

The complex number support would help me with my creation of complex number calculators.

Or perhaps you can code that yourself?

Scratch is about figuring out how to do things, not requesting things to make others easier.

It's possible to program a complex number system. It's just that each variable will need a countervariable for the imaginary part.

Or you can use one variable and make a script that can separate it like 5:-2 would be 5-2i.

Last edited by kayybee (2012-10-31 23:23:19)

wiz99903 wrote:

I would make a mod or something, except I don't know how to do it. Has anyone already made a mod?

It's not necessary to create a mod of Scratch just for a calculator; all you need to do is make your project compute complex numbers.

If we had complex number support, we could add arg to the sin/cos/tan menu described earlier:

<[arg v] of (1+i) in [degrees v]>

would give 45.