Services & Resources / Wolfram Forums
MathGroup Archive
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: inconsistency with Inequality testing and Floor

  • To: mathgroup at
  • Subject: [mg60102] Re: inconsistency with Inequality testing and Floor
  • From: Bill Rowe <readnewsciv at>
  • Date: Fri, 2 Sep 2005 04:33:04 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

On 9/1/05 at 2:13 AM, fateman at (Richard J. Fateman)

>Andrzej Kozlowski wrote:

>>You cannot expect inexact numbers, particularly "borderline cases"
>>as in this example, to obey the usual laws of arithmetic.

>These inconsistencies are not inherent in computer arithmetic, even
>floating-point arithmetic. They represent choices made by the
>designers of Mathematica.  In particular, choosing to allow two
>distinct numbers to be numerically equal leads to problems. I
>wonder if there is some compensating good reason for this choice in
>Mathematica. I am not aware of any reason good enough to justify

I've no idea as to why Mathematica was designed in this manner, but generally when I am using machine precision numbers it is to model the real world in some way. My knowledge (i.e., measured data) never has sufficient precision to argue two numbers within 8 binary bits of each other are distinct. So, I much prefer in these cases Mathematica treats them as equal.

However, I can see where this behaviour would cause problems in other applications. And for those applications, the solution is to use "===" rather than "==", i.e.,

In[1]:= x = 1 - 2/10^$MachinePrecision
Out[1]= 0.9999999999999998

In[2]:= 1. == x
Out[2]= True

In[3]:= 1. === x
Out[3]= False

>Calling a bug a feature does not fix it.

Nor is it valid to call something a bug when it performs as documented.
To reply via email subtract one hundred and four

  • Prev by Date: Re: Re: Re: Re: my wish list for Mathematica next major version
  • Next by Date: Re: Re: Elementary Calculation
  • Previous by thread: Re: inconsistency with Inequality testing and Floor
  • Next by thread: Re: inconsistency with Inequality testing and Floor