Colin Law wrote in post #970648:
> On 25 December 2010 14:24, Marnen Laibow-Koser <li...@ruby-forum.com>
> wrote:
>>>> to Rational. It could stay as BigDecimal but internally store the
>>>> data as a Rational.
>>
>> In this case there would be no advantage to storing as a Rational.
>> Sounds like you want an ExactNumber class that abstracts both.
>>
>> For the record, I think BigDecimal / BigDecimal = BigDecimal is the
>> correct design.
>
> In an earlier post I think it was suggested that an advantage of
> BigDecimal is that errors do not increase.

Basically.

>  With divide as it is, and
> choosing 16 digit accuracy, then BigDecimal is virtually identical to
> Float (assuming ruby Float is actually what would be known as double
> in C).

Not at all!  You can't store 397 significant figures in a Float.  You 
can in a BigDecimal.  Apparently you are wilfully ignoring this 
advantage, since it has been brought up several times already.

>   Also errors will potentially increase every time a divide
> operation is performed.  It seems that the default is actually 8 digit
> which is only single precision float accuracy.
>

So don't use the default!  Sheesh.

> I see that http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic
> discusses exactly this problem and the use of Rationals to get around
> it.  It seems to suggest that some languages do that.

And that would be easy to do in Ruby.  I'm glad we have a choice, 
though.

>
> Colin

Best,
-- 
Marnen Laibow-Koser
http://www.marnen.org
mar...@marnen.org

Sent from my iPhone

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