Floating point non-exactness
John Baldwin
johnb at srchtec.UUCP
Thu Aug 2 07:47:07 AEST 1990
In article <1990Jul31.101803.852 at urz.unibas.ch> carlos at urz.unibas.ch writes:
>
>> Can you ensure that "fpcmp (a, b)" and "fpcmp (a-b, 0.0)" yield the same
^^^^^^[emphasis mine]
>> result when a and b are very close?
>
>Yes, if your fp system conforms IEEE Std. 754 due to the existence of
>denormalized numbers.
Actually, it depends on what the previous writer means by "ensure."
If the code has to be portable, one can't rely on IEEE-754 representation
of floating point values, since that's NOT part of the C standard.
Portably, you should be able to "get away with" using the values built in
to <float.h> (a required part of the standard library) for the epsilon
of your floating point representation. [Just in case this slipped past
anyone, epsilon is the smallest quantity "e" such that x + e > x]
--
John T. Baldwin | johnb at srchtec.uucp
Search Technology, Inc. | johnb%srchtec.uucp at mathcs.emory.edu
standard disclaimer: | ...uunet!samsung!emory!stiatl!srchtec..
opinions and mistakes purely my own. | ...mailrus!gatech!stiatl!srchtec...
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