From jeff.horner at vanderbilt.edu  Sat Sep  1 18:49:03 2007
From: jeff.horner at vanderbilt.edu (Jeffrey Horner)
Date: Sat, 01 Sep 2007 11:49:03 -0500
Subject: [Rd] Friday question: negative zero
In-Reply-To: <eb555e660708311939i6258529ej127673d688acc089@mail.gmail.com>
References: <46D8B4A6.4040800@stats.uwo.ca>
	<eb555e660708311939i6258529ej127673d688acc089@mail.gmail.com>
Message-ID: <46D997FF.5040000@vanderbilt.edu>

deepayan.sarkar at gmail.com wrote:
> 
> On 8/31/07, Duncan Murdoch <murdoch at stats.uwo.ca> wrote:
>> The IEEE floating point standard allows for negative zero, but it's hard
>> to know that you have one in R.  One reliable test is to take the
>> reciprocal.  For example,
>>
>>  > y <- 0
>>  > 1/y
>> [1] Inf
>>  > y <- -y
>>  > 1/y
>> [1] -Inf
>>
>> The other day I came across one in complex numbers, and it took me a
>> while to figure out that negative zero was what was happening:
>>
>>   > x <- complex(real = -1)
>>   > x
>> [1] -1+0i
>>   > 1/x
>> [1] -1+0i
>>   > x^(1/3)
>> [1] 0.5+0.8660254i
>>   > (1/x)^(1/3)
>> [1] 0.5-0.8660254i
>>
>> (The imaginary part of 1/x is negative zero.)
>>
>> As a Friday question:  are there other ways to create and detect
>> negative zero in R?
>>
>> And another somewhat more serious question:  is the behaviour of
>> negative zero consistent across platforms?  (The calculations above were
>> done in Windows in R-devel.)
> 
> No, I get
> 
>> 1/ Im(1/complex(real = -1))
> [1] Inf
>> sessionInfo()
> R version 2.6.0 Under development (unstable) (2007-08-16 r42532) 
> x86_64-unknown-linux-gnu 
> 
> This is on an AMD 64, and I get -Inf on everything else I've tried so far, which are all Intel. 

Okay, I hope this isn't line noise, but our AMD 64 with R version 2.5.1 
gets:

 > 1/ Im(1/complex(real = -1))
[1] -Inf

 > sessionInfo()
R version 2.5.1 (2007-06-27)
x86_64-pc-linux-gnu

locale:
LC_CTYPE=en_US;LC_NUMERIC=C;LC_TIME=en_US;LC_COLLATE=en_US;LC_MONETARY=en_US;LC_MESSAGES=en_US;LC_PAPER=en_US;LC_NAME=C;LC_ADDRESS=C;LC_TELEPHONE=C;LC_MEASUREMENT=en_US;LC_IDENTIFICATION=C

attached base packages:
[1] "stats"     "graphics"  "grDevices" "utils"     "datasets"  "methods"
[7] "base"

Should I compile R-devel and post the results of the above?

Jeff
-- 
http://biostat.mc.vanderbilt.edu/JeffreyHorner



[Rd] Friday question: negative zero
Jeffrey Horner