Mathematical limits of Frozen Throne and Warcraft III

[Ouguiya]

Hello everyone!

The questions are really quick and simple, although I haven't been able to find an answer so far...

First: Can Warcraft III (in the GUI) use the Exponential function? With that, I mean euler's number: e^(x), which would come in very handy. (I have seen all sorts of stuff not really needed, like arctan and such, but not the exponential function).

Second: What is the overflow and underflow limit of Warcraft? Since it's a 32 bit application, I would suppose that it is 10^38 (since 1 bit is needed for the sign, 8 bits for the exponent and 23 bits are used for the mantissa), and likewise, the smallest number would be 10^-39.

Thanks in advance!

Yours,

Ouguiya

 

[XeNiM666]

Yes, wc3 can use the exponential function but in JASS. Not sure in GUI

• Custom Script: call Pow( 10, 32 )

Its 10^32

 

[Ouguiya]

Hello again!

I think you misunderstood. Calculating something "x to the power of y" is something which the GUI can do (thank blizzard for that one...)

However, what i have not seen yet, is the Exponential function, (it's just a name), which is e^x, where "e" is Euler's number: 2.718...

Check this Wikipedia article for more detail: http://en.wikipedia.org/wiki/Exponential_function (it's actually a REALLY important function in mathematics).

The function which I will need to use, as it is so important, uses an Exponential function, so it would come in real handy to have it ready.

Thanks

Yours,

Ouguiya

 

[uberfoop]

Well, there's no native specifically for e^x, but you can always do it with Pow(2.7183,x) or something.

...I'm not sure I understand what you're asking.

 

[Jesus4Lyf]

Well, there's no native specifically for e^x, but you can always do it with Pow(2.7183,x)

Nothing wrong with that. <_<

Actually, there's even a bj_E constant for it, which is set to 2.71828. Dunno if you can access it from GUI.

 

[wellwish3r]

Actually, there's even a bj_E constant for it, which is set to 2.71828. Dunno if you can access it from GUI.

you can.

I think you can only use numerical values in wc3 (similar to a graphing calculator), for example looping from 0-100 gives you all the values in whatever steps you need it (i.e. make i a real and only add 0.2 (i think only possible in JASS) every loop). Doing it like that should be dynamic enough to fit most purposes, however, not 100% exact.

 

[Ouguiya]

Hello all!

Thanks very much for answering the first question. I will try to use the constant then.

I have to admit though, that I do not really understand what wellwih3r said.

Unfortunatly, the functions I use have to directly use things like e^(-15) or something similar.

Thus, making loops and adding numbers is not an option here, if that was what you were suggesting.

Thanks again

Yours

Ouguiya

 

[warden13]

You can have infinite Real value. But you may have only (2^31 - 1).
That is equal to 2 147 483 647.
That is because of 32-bit system.

 

[Ouguiya]

Are you certain that this is the limit?


If I remember my professor in informatics correctly, the way computers work is this:

The computer has 32 bits.

A number can be written as: x*y^z

In the exponent (z) one bit has to be used for the sign.
Since 8 bits are used for the exponent, the maximal exponent is made out of 7 bits, which is: 2^(8-1) - 1= 128 -1 = 127

Next, the mantissa, this is what is expandable. (y). In the case of 32 bits, 23 are used for the mantissa, which amounts to a maximum of 2^-23 for the precision.

thus, the maximal floating point number is: 1 * 2^127 which equals about 10^38.

There's more to this, like which is the smallest diffrence between two numbers etc, but that is beside the point.

The only thing I actually wanted to know, is if Warcraft has any limits of it's own or becomes incredibly laggy or anything of the sort.

Thanks for the answer.

Yours,

Ouguiya