Hi Duncan,

On 11-12-09 11:39 AM, Duncan Murdoch wrote:
On 09/12/2011 1:40 PM, Hervé Pagès wrote:
Hi,

x<- c(rep(1800000003L, 10000000), -rep(1200000002L, 15000000))

This is correct:

> sum(as.double(x))
[1] 0

This is not:

> sum(x)
[1] 4996000

Returning NA (with a warning) would also be acceptable for the latter.
That would make it consistent with cumsum(x):

> cumsum(x)[length(x)]
[1] NA
Warning message:
Integer overflow in 'cumsum'; use 'cumsum(as.numeric(.))'

This is a 64 bit problem; in 32 bits things work out properly.
I'd guess
in 64 bit arithmetic we or the run-time are doing something to simulate
32 bit arithmetic (since integers are 32 bits), but it looks as though
we're not quite getting it right.

It doesn't work properly for me on Leopard (32-bit mode):

  > x <- c(rep(1800000003L, 10000000), -rep(1200000002L, 15000000))
  > sum(as.double(x))
  [1] 0
  > sum(x)
  [1] 4996000
  > sessionInfo()
  R version 2.14.0 RC (2011-10-27 r57452)
  Platform: i386-apple-darwin9.8.0/i386 (32-bit)

  locale:
  [1] C

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

It looks like the problem is that isum() (in src/main/summary.c)
uses a 'double' internally to do the sum, whereas rsum() and csum()
use a 'long double'.

Note that isum() seems to be assuming that NA_INTEGER and NA_LOGICAL
will always be the same (probably fine) and that TRUE values in the
input vector are always represented as a 1 (not so sure about this one).

A more fundamental question: is switching back and forth between
'int' and 'double' (or 'long double') the right thing to do for doing
"safe" arithmetic on integers?

Thanks!
H.



Duncan Murdoch

Thanks!
H.

> sessionInfo()
R version 2.14.0 (2011-10-31)
Platform: x86_64-unknown-linux-gnu (64-bit)

locale:
[1] LC_CTYPE=en_CA.UTF-8 LC_NUMERIC=C
[3] LC_TIME=en_CA.UTF-8 LC_COLLATE=en_CA.UTF-8
[5] LC_MONETARY=en_CA.UTF-8 LC_MESSAGES=en_CA.UTF-8
[7] LC_PAPER=C LC_NAME=C
[9] LC_ADDRESS=C LC_TELEPHONE=C
[11] LC_MEASUREMENT=en_CA.UTF-8 LC_IDENTIFICATION=C

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




--
Hervé Pagès

Program in Computational Biology
Division of Public Health Sciences
Fred Hutchinson Cancer Research Center
1100 Fairview Ave. N, M1-B514
P.O. Box 19024
Seattle, WA 98109-1024

E-mail: hpa...@fhcrc.org
Phone:  (206) 667-5791
Fax:    (206) 667-1319

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