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MathGroup Archive 1992

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Re: Ceiling & Floor

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Re: Ceiling & Floor
  • From: John Gray <gray at symcom.math.uiuc.edu>
  • Date: Thu, 26 Mar 1992 16:32:41 -0600

The comments from Dave Withoff are useful, but still the following three
computations make one wonder what is really going on.

In[19]:= Ceiling[10^22 + 0.]

Out[19]= 10000000000000000000000

In[20]:= Ceiling[10^23 + 0.]

Out[20]= 99999999999999991611392

In[21]:= Ceiling[10^23 + 0.000000000000000000000000000]

Out[21]= 99999999999999991611392

Just for reference

In[22]:= {$Version, $MachinePrecision}

Out[22]= {SPARC 2.0 (July 8, 1991), 16}

One expects something to happen between 19 and 20 digits, but not between
22 and 23 digits.

John Gray





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