On Thu, Jan 15, 2015 at 3:31 PM, Neil Girdhar <mistersheik@gmail.com> wrote:
You can always disable atol by setting atol to zero.  I really don't see what's wrong with their implementation.

1) the default should be zero in that case having a default close to the rtol default is asking for trouble.

2) if the user has both large and small numbers, there IS no appropriate value for a_tol for all of them.

They simply should not be mixed in that way.

-Chris



 

On Thu, Jan 15, 2015 at 5:50 PM, Chris Barker <chris.barker@noaa.gov> wrote:
On Thu, Jan 15, 2015 at 1:52 PM, Neil Girdhar <mistersheik@gmail.com> wrote:
The point is that this function is already in Python

I  don't think somethign being in an external package means that we have to do it the same way in teh stdlib -- even a widely used and well regarded package like numpy. And I say this as someone that has "import numpy" in maybe 90% of my python files.

Maybe we should be careful to give it a very distinct name, however, to avoid confusion.
 
and if you want to do something different, you should have a really good reason to do it differently.

I'm not sure I agree, but we do in this case anyway. The truth is, while really smart people wrote numpy, many of the algorithms in there did not go through nearly the level of review currently required for the python standard library
 
  If you were to add a function to math, say math.close, it should work like numpy.allclose in my opinion.

For reference, numpy does this:

absolute(a - b) <= (atol + rtol * absolute(b))

where atol is an absolute tolerance and rtol is a relative tolerance (relative to the actual value b).  This subsumes most of the proposals here.

adding atol  in there "takes care of" the near zero and straddleing zero issue ( I suspect that's why it's done that way), but it is fatally wrong for values much less than 1.0 --  the atol totally overwhelms the rtol.

See my post earlier today.

-Chris


--

Christopher Barker, Ph.D.
Oceanographer

Emergency Response Division
NOAA/NOS/OR&R            (206) 526-6959   voice
7600 Sand Point Way NE   (206) 526-6329   fax
Seattle, WA  98115       (206) 526-6317   main reception

Chris.Barker@noaa.gov




--

Christopher Barker, Ph.D.
Oceanographer

Emergency Response Division
NOAA/NOS/OR&R            (206) 526-6959   voice
7600 Sand Point Way NE   (206) 526-6329   fax
Seattle, WA  98115       (206) 526-6317   main reception

Chris.Barker@noaa.gov