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Re: IsIntegerOrFloat

• To: mathgroup at smc.vnet.net
• Subject: [mg87049] Re: IsIntegerOrFloat
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Sun, 30 Mar 2008 01:16:26 -0500 (EST)
• Organization: University of Bergen
• References: <fsl214$g77$1@smc.vnet.net>

carlos at colorado.edu wrote:
> Thanks to all who replied to my previous questions. Those functions work
> fine now. Here is another question - I apologize if it has been asked before.
> I need a function
> 
>                  IsIntegerOrFloat[expr]
> 
> that returns True if expr, which is generally a flat list, contains
> only integers or floating point numbers, and False otherwise.
> Rational numbers such as 1/2 are considered symbolic for this test; so is
> \[Pi] or Sqrt[5]. Appearance of any symbol, as in 2.0*a+3.5, makes it False.
> As in previous questions, this should work on versions >=4.0.
> 

iiof[expr_] := VectorQ[expr, Head[#] === Integer || Head[#] === Real &]

> Use: unified printing of simulation data structures in table formats.
> Expressions containing only integers or floats are filtered through
> PaddedForm[] and ToString[], others through Symbol[].  The end
> result (a flat table of strings) is filtered through TableForm with
> appropriate options.

Conversion to strings is generally not necessary for simple formatting ...