[Numpy-discussion] IEEE 754-2008 decimal floating point support
Robert Kern
robert.kern@gmail....
Wed Sep 8 15:04:17 CDT 2010
On Wed, Sep 8, 2010 at 14:44, Michael Gilbert
<michael.s.gilbert@gmail.com> wrote:
> On Wed, Sep 8, 2010 at 12:23 PM, Charles R Harris wrote:
>>
>>
>> On Wed, Sep 8, 2010 at 9:46 AM, Michael Gilbert
>> <michael.s.gilbert@gmail.com> wrote:
>>>
>>> On Wed, 8 Sep 2010 09:43:56 -0600, Charles R Harris wrote:
>>> > On Wed, Sep 8, 2010 at 9:26 AM, Michael Gilbert
>>> > <michael.s.gilbert@gmail.com
>>> > > wrote:
>>> >
>>> > > Hi,
>>> > >
>>> > > Are there any plans to add support for decimal floating point
>>> > > arithmetic, as defined in the 2008 revision of the IEEE 754 standard
>>> > > [0], in numpy?
>>> > >
>>> > >
>>> > Not at the moment. There is currently no hardware or C support and
>>> > adding
>>> > new types to numpy isn't trivial. You can get some limited Decimal
>>> > functionality by using python classes and object arrays, for instance
>>> > the
>>> > Decimal class in the python decimal module, but the performance isn't
>>> > great.
>>> >
>>> > What is your particular interest in decimal support?
>>>
>>> Primarily avoiding catastrophic cancellation when subtracting
>>> large values. I was planning to use the decimal class, but was
>>> curious whether support for the IEEE standard was coming any time soon.
>>>
>>
>> If you just need more precision, mpmath has better performance than the
>> Decimal class. Also, it might be possible to avoid the loss of precision by
>> changing the computation, but I don't know the details of what you are
>> doing.
>
> Just wanted to say that numpy object arrays + decimal solved all of my
> problems, which were all caused by the disconnect between decimal and
> binary representation of floating point numbers.
Are you sure? Unless if I'm failing to think through this properly,
catastrophic cancellation for large numbers is an intrinsic property
of fixed-precision floating point regardless of the base. decimal and
mpmath both help with that problem because they have arbitrary
precision.
--
Robert Kern
"I have come to believe that the whole world is an enigma, a harmless
enigma that is made terrible by our own mad attempt to interpret it as
though it had an underlying truth."
-- Umberto Eco
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