Re: How to test a 'float' or 'double' zero numerically?

From:
James Kanze <james.kanze@gmail.com>
Newsgroups:
comp.lang.c++
Date:
Mon, 15 Sep 2008 01:13:46 -0700 (PDT)
Message-ID:
<19a1b7fd-f504-40fe-b4f2-396ff955b64f@79g2000hsk.googlegroups.com>
On Sep 13, 6:23 pm, Paavo Helde <nob...@ebi.ee> wrote:

Peng Yu <PengYu...@gmail.com> kirjutas:

Suppose T is 'float' or 'double'.

T x;

x < 10 * std::numeric_limits<T>::epsilon();

I can use the above comparison to test if 'x' is numerically zero. But


Really? What if x is -10000? What if it is equal to
std::numeric_limits <T>::epsilon()?

I'm wondering what should be a good multiplicative constant before
epsilon?


To answer your question literally, then comparing to zero is
easy, just use if(x==0). However, this usually does not give
you much if x is a result of some computation, with this
expression you can pretty much just check whether x has been
assigned literal zero beforehand.


It depends on the computation. There are a lot of contexts
where you get 0.0 exactly, and that's what you want to test for.
There are less contexts where this is true for other values (0.0
is a bit special), but they also exist.

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