From: Gary Wright on 28 Oct 2009 17:46 On Oct 28, 2009, at 5:14 PM, Marnen LaibowKoser wrote: >> and similarly a finite >> base 2 floating point value may not have a finite representation >> in base 10. > [...] > > I think not. Every number of the form 1/(2^n) has a terminating > decimal > in base 10. Am I wrong? > > The problems, of course, arise with numbers like 1/3, which doesn't > terminate in either base. This is what the Rational class is good > for. I spoke to quickly and had in mind what you just suggested, that there are numbers that don't terminate in either base. But my main point was that people become aware of these issues via the conversion problem rather than via the nuances of IEEE floating point arithmetic. Gary Wright
From: Rajinder Yadav on 28 Oct 2009 21:40 Aldric Giacomoni wrote: > I found this blog entry: > http://raveendran.wordpress.com/2009/06/29/rubybigdecimal/ > Which shows the following.. > > irb(main):011:0> require 'bigdecimal' > => true > irb(main):012:0> x = BigDecimal("123.6")  BigDecimal("123") > => #<BigDecimal:28c5b84,'0.6E0',4(16)> > irb(main):013:0> puts x.to_f > 0.6 > => nil > irb(main):014:0> puts f=123.6  123 > 0.599999999999994 > => nil > irb(main):015:0> 123.6  123 > => 0.599999999999994 > irb(main):016:0> 123.6  123.0 > => 0.599999999999994 > irb(main):017:0> > > That's a little strange.. Isn't it? I've been following this thread and am wondering if there are other numerical classes for Ruby other than BigDecimal?  Kind Regards, Rajinder Yadav http://DevMentor.org Do Good!  Share Freely, Enrich and Empower people to Transform their lives.
From: Marnen LaibowKoser on 28 Oct 2009 23:42 Rajinder Yadav wrote: [...] > I've been following this thread and am wondering if there are other > numerical > classes for Ruby other than BigDecimal? Well, I mentioned Rational. There's also Bignum, but that's transparent, so it doesn't need to be called explicitly as BigDecimal does. Check the standard library docs. Were you looking for something specific? > >  > Kind Regards, > Rajinder Yadav > > http://DevMentor.org > > Do Good!  Share Freely, Enrich and Empower people to Transform their > lives. Best,  Marnen LaibowKoser http://www.marnen.org marnen(a)marnen.org  Posted via http://www.rubyforum.com/.
From: Rajinder Yadav on 29 Oct 2009 00:11 Marnen LaibowKoser wrote: > Rajinder Yadav wrote: > [...] >> I've been following this thread and am wondering if there are other >> numerical >> classes for Ruby other than BigDecimal? > > Well, I mentioned Rational. There's also Bignum, but that's > transparent, so it doesn't need to be called explicitly as BigDecimal > does. Check the standard library docs. > > Were you looking for something specific? Hi Marnen, thanks for the reply. I am aware of Bignum and understand how Ruby does the translation transparently from Fixnum. I was just seeking more knowledge outside my current understanding of Ruby. I had imagined there might be a class Currency =), again just wanting to know what's available to me through Ruby. > Best, >  > Marnen LaibowKoser > http://www.marnen.org > marnen(a)marnen.org  Kind Regards, Rajinder Yadav http://DevMentor.org Do Good!  Share Freely, Enrich and Empower people to Transform their lives.
From: Christopher Dicely on 29 Oct 2009 00:43 On Wed, Oct 28, 2009 at 12:30 PM, Marnen LaibowKoser <marnen(a)marnen.org> wrote: > Robert Klemme wrote: >> On 28.10.2009 19:21, Matthew K. Williams wrote: >>>> I bash my head against the wall? :) >>> >>> Pamphlet > http://en.wikipedia.org/wiki/IEEE_7542008 >>> >>> Popcorn, well, it's kinda hard to transmit over the wire. ;) >> >> Easy to do with a modern email client  just needs support for POP3 and >> a working firewall (for the heat). :) > > LOL! > >> >>> As a rule of thumb, if you really care about the decimals, either use >>> BigDecimal or integers (and keep track of where the decimal should be  >>> this is common for $$$$). Â Unfortunately, this is not limited to ruby, >>> either  C, Java, and a host of other languages all are subject. >> >> Absolutely: this is a common issue in *all* programming languages which >> are not systems for symbolic math (like Mathematica) because they do not >> work with real numbers but just rational numbers. > > That is not the issue here  after all, BigDecimal does precise > arithmetic, but only with rational numbers. BigDecimal actually works with decimal numbers, which are a subset of rational numbers; Rational does precise math with rational numbers. >Â The issue is rather that IEEE 754 does an inadequate job of representing > arbitrary rational numbers, and the small errors are accumulated and > magnified in calculations. The bigger issue is that Ruby  like most general purpose programming languages, though there are exceptions like Scheme  makes IEEE 754 floating point the easiest noninteger data type to use, rather than using exact numbers by default and using inexact numbers only when explicitly called for (or when an operation that produces inexact results is used.)
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