# [Tutor] the binary math "wall"

Lowell Tackett lowelltackett at yahoo.com
Tue Apr 20 20:20:47 CEST 2010

```>From the virtual desk of Lowell Tackett

--- On Tue, 4/20/10, Luke Paireepinart <rabidpoobear at gmail.com> wrote:

> From: Luke Paireepinart <rabidpoobear at gmail.com>
> Subject: Re: [Tutor] the binary math "wall"
> To: "Lowell Tackett" <lowelltackett at yahoo.com>
> Cc: "tutor" <Tutor at python.org>
> Date: Tuesday, April 20, 2010, 1:20 PM
> On Tue, Apr 20, 2010 at 11:58 AM,
> Lowell Tackett
> <lowelltackett at yahoo.com>
> wrote:
> > I'm running headlong into the dilemma of binary math
> representation, with game-ending consequences, e.g.:
> >
> >>>> 0.15
> > 0.14999999999999999
> >
>
> Yes, floats are slightly inaccurate.
>
> But I think your problem is that your math is wrong.
> You are assuming...
> If your equations cannot handle this, then coerce the value
> to 1.
> if .9999999 < i < 1.00001:
>     i = 1
>
> And before you say "but that is just a hack", no, that is
> the nature...
> But you really just need to adapt...
>
> May I suggest another approach though?
>
> Consider this:
> >>> a = 18.15
> >>> a
> 18.149999999999999
> >>> a = '18.15'
> >>> degree, min = map(int, a.split('.'))
> >>> degree
> 18
> >>> min
> 15
>
> Supposing you get your input as a string.
> Basically the second you let your value end up stored as a
> float,
> there's no turning back...
>
> Eventually you will develop a distrust for floats...
>
> Hope that helps,
> -Luke
>

I was gonna go out jogging - and in a coupla hours check to see if anyone had tried to take this "on"; going out the door I decided to take a quick look.  Ahem...

These responses just "blow me away" on a couple of levels.  I'm choosing "Luke"'s offering as representative.  Within <minutes> some great folks had read, parsed, and re-structured my query.  My narrow focus yells out my inexperience...I was trying as hard as I could, with limited tools, to solve the issue.  That's fine.  But...the breadth and depth of the responses represent nothing short of a paradigm shift in my window into this world of "hacking".

Ya'll have insights of a scale unimagined in the confines of my "thinking box".  (Now, I gotta go out and jog just to clear my head!)  Then come back...and pull the blinds closed...and absorb; and come up for air in maybe a week or so.  And only then, be able to offer my thanks with an objective sense of how much I've been helped today...Wow!

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