Re: TI-M: Even Square
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Re: TI-M: Even Square
"floor returns its argument, rounded down."
int(n) does the same as floor(n).
"ceiling returns its argument, rounded up."
-int(-n) does the same as ceiling(n).
----- Original Message -----
From: "DeRobertis" <derobert@erols.com>
To: <ti-math@lists.ticalc.org>
Sent: Wednesday, May 24, 2000 12:18 AM
Subject: Re: TI-M: Even Square
>
> At 7:02 PM -0500 on 5/23/00, tfobrien wrote:
> >Lets say someone enters a number N. How do you find the next even
perfect
> >sqyare after that(using the calulator basic)? If N were 8, the next even
> >square would be 16. Somebody mentioned a loop.
>
> iPart(sqrt(n)+1)^2 gives the next square. So:
>
> iPart(sqrt(n)+1) -> x
> if (fPart(x/2),0):Then
> return (x+1)^2
> else
> return x^2
> end
>
> Should work on any calculator (with possible replacement of 'return' with
> suitable display function)
>
> Now, for some fun. To remove the if (89/92 only):
>
> (ceiling(iPart(sqrt(n)+1)/2)*2)^2
>
> But, now let's make it work everywhere. We need to get rid of that
ceiling.
> The 89, of course, will do this for us:
>
> 4*(floor(-iPart(sqrt(n)+1)/2))^2
>
> But 83's, for example, don't have a floor function, either. But rounding
> down (in this case) is the same as ``int'', which they do have. So, you
get:
>
> 4*(int(-iPart(sqrt(n)+1)/2))^2
>
> And thus, you now have one magical line of code that does it all. Now make
> sure to put a nice comment by THAT one.
>
> NOTE:
> , is ``not equals''
> ceiling returns its argument, rounded up.
> floor returns its argument, rouded down.
>
>
>
>
References: