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Difference double/single precision

From: Schirmacher, Rolf
Subject: Difference double/single precision
Date: Thu, 22 Sep 2011 00:53:19 +0200

with the 3.2.4 windows (mingw) binary, I get the following results:
octave.exe> format long
octave.exe> 1.0/3
ans =  0.333333333333333
octave.exe> single(1.0/3)
ans =  0.333333343267441
octave.exe> 1.0/3 - single(1.0/3)
ans = 0
I am wondering about the difference being 0.
In addition, how could I calculate the difference of 1.0/3 as single and double?
Thanks for any hint,

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