[Rd] Bug in nlm, found using sem; failure in several flavors (PR#13882)

jeff.a.ryan at gmail.com jeff.a.ryan at gmail.com
Fri Aug 7 21:40:18 CEST 2009


Adam,

It seems that your attachment didn't make it through.

That aside, my experience with strange errors like those (random type
not implemented ones) has been that you may be looking at a memory
problem on you machine. Given that you can't replicate on another
platform (and the .csv file didn't come through), I would think it
wise to start there.

My 2c.  And I love bacon too :)

Jeff

On Fri, Aug 7, 2009 at 1:10 PM, <adik at ilovebacon.org> wrote:
> =A0This message is in MIME format. =A0The first part should be readable t=
ext,
> =A0while the remaining parts are likely unreadable without MIME-aware too=
ls.
>
> --1660387551-1458482416-1249639718=3D:2997
> Content-Type: TEXT/PLAIN; CHARSET=3DUS-ASCII; FORMAT=3Dflowed
> Content-ID: <Pine.LNX.4.64.0908071039211.2997 at parser.ilovebacon.org>
>
> Hello,
>
> =A0 =A0 =A0 =A0There appears to be a bug in the nlm function, which I dis=
covered
> when trying to run an SEM. =A0The SEM is not bizarre; the covariance matr=
ix is
> solve-able and the eigenvalues are greater than zero, and I do not believ=
e
> the "sem" package per se to be the problem (as nlm keeps being the part t=
hat
> fails, though I can't replicate this with other nlm tasks). =A0I apologiz=
e if
> I have put too many much information in this message; I'm not a programme=
r
> by trade so I don't really know what's going on here, which hampers my
> ability to write consise bug reports.
>
> Here is the code I use:
>
> library(sem)
> ice.S <- read.csv("iceS.csv") # attached
> rownames(ice.S) <- ice.S[,1]
> ice.S[,1] <- NULL
> ice.S <- as.matrix(ice.S)
> ice.ram <- specify.model("ice.ram") # attached
> ice.N <- 342
> ice.sem <- sem(ram=3Dice.ram, S=3Dice.S, N=3Dice.N)
>
> ...at this point, any number of problems could occur. I have seen the
> following.
>
> 1) Simple lack of convergence. (might be my model's fault.)
> 2) Error in nlm(if (analytic.gradient) objective.2 else objective.1, star=
t,
> :
> =A0 type 31 is unimplemented in 'type2char'
> 3) =A0*** caught segfault ***
> address 0xc019c87b, cause 'memory not mapped'
>
> Traceback:
> =A01: nlm(if (analytic.gradient) objective.2 else objective.1, start,
> hessian =3D TRUE, iterlim =3D maxiter, print.level =3D if (debug) 2 else =
0,
> typsize =3D typsize, ...)
> =A02: sem.default(ram =3D ram, S =3D S, N =3D N, param.names =3D pars, va=
r.names =3D
> vars, =A0 =A0 fixed.x =3D fixed.x, debug =3D debug, ...)
> =A03: sem(ram =3D ram, S =3D S, N =3D N, param.names =3D pars, var.names =
=3D vars,
> fixed.x =3D fixed.x, debug =3D debug, ...)
> =A04: sem.mod(ram =3D ice.ram, S =3D ice.S, N =3D ice.N)
> =A05: sem(ram =3D ice.ram, S =3D ice.S, N =3D ice.N)
>
> Possible actions:
> 1: abort (with core dump, if enabled)
> 2: normal R exit
> 3: exit R without saving workspace
> 4: exit R saving workspace
> Selection: 1
> aborting ...
> Segmentation fault
> swiss:data$
>
> (no core was dumped).
>
> Trying with debug mode provides other interesting errors:
>
>> ice.sem <- sem(ram=3Dice.ram, S=3Dice.S, N=3Dice.N, debug=3DTRUE)
>
> ...gets up to some iteration (not always 15), and then R dies ungracefull=
y,
> and exits to the shell:
>
> iteration =3D 15
> Step:
> =A0[1] =A01.253132e-02 =A01.183343e-02 -7.651342e-03 -2.490800e-03 =A02.2=
78938e-03
> =A0[6] =A03.197431e-04 =A06.137849e-04 -2.496882e-03 -1.065829e-03 -2.118=
179e-03
> [11] =A02.942936e-03 -1.335936e-03 -3.665618e-03 =A03.090566e-03 =A08.534=
956e-04
> [16] -1.440421e-03 -5.230877e-04 -1.053686e-04 -9.771005e-04 -4.269216e-0=
4
> [21] =A07.261694e-05 -1.039668e-03 -8.409151e-03 -3.497456e-03 =A02.21689=
9e-03
> [26] -4.633520e-03 -4.052130e-03 -4.746537e-03 -1.589622e-03 -2.523766e-0=
4
> Parameter:
> =A0[1] -0.76604614 -1.19639662 =A00.83456888 =A00.72540413 =A00.08482452 =
=A00.56180393
> =A0[7] =A00.50615814 =A00.55728015 =A00.83796696 =A00.88371335 -0.7046511=
6 =A00.85251098
> [13] -0.18346956 =A00.66857787 =A00.57012481 =A00.39116561 =A00.91237990 =
=A00.63951482
> [19] =A00.26601566 =A00.29240836 =A00.44710919 =A00.94734056 =A06.5203901=
5 =A00.02524762
> [25] -0.01614603 =A02.88198219 =A00.03442452 =A03.52272237 =A01.44698423 =
-0.72964745
> Function Value
> [1] -15175.94
> Gradient:
> =A0[1] -2.085412e+07 -3.819717e+07 =A03.883989e+07 =A01.352594e+00 -4.283=
329e+00
> =A0[6] -1.437250e+00 -6.558913e-01 =A01.358276e+00 =A07.930865e+05 -1.293=
853e+06
> [11] -5.816627e+03 =A05.908197e+05 -2.705742e+08 -1.194400e+07 -4.007083e=
+07
> [16] -4.143068e+07 -6.159782e-01 =A01.044274e-01 -8.591048e+00 -2.083471e=
+00
> [21] -7.548753e-01 -5.418994e-01 -2.799228e+02 -1.321739e+07 -3.517728e+0=
7
> [26] -7.106654e+02 -7.335293e+06 -7.335285e+05 =A03.117764e-01 -2.234989e=
+04
>
> Abort trap
> swiss:data$
>
> ...I have also seen convergence reached, and nlm then die with this messa=
ge:
>
> Error in nlm(if (analytic.gradient) objective.2 else objective.1, start,
> :
> =A0 type 27 is unimplemented in 'type2char'
>
> (similar to above, but now referring to type 27)
>
> I have shown this effect (or something similar...never know how it'll fai=
l
> next) on the following platforms:
>
>> version
> =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0_
> platform =A0 =A0 =A0 i386-apple-darwin9.7.0
> arch =A0 =A0 =A0 =A0 =A0 i386
> os =A0 =A0 =A0 =A0 =A0 =A0 darwin9.7.0
> system =A0 =A0 =A0 =A0 i386, darwin9.7.0
> status
> major =A0 =A0 =A0 =A0 =A02
> minor =A0 =A0 =A0 =A0 =A09.1
> year =A0 =A0 =A0 =A0 =A0 2009
> month =A0 =A0 =A0 =A0 =A006
> day =A0 =A0 =A0 =A0 =A0 =A026
> svn rev =A0 =A0 =A0 =A048839
> language =A0 =A0 =A0 R
> version.string R version 2.9.1 (2009-06-26)
>
>> sessionInfo()
> R version 2.9.1 (2009-06-26)
> i386-apple-darwin9.8.0
>
> locale:
> en_US.UTF-8/en_US.UTF-8/C/C/en_US.UTF-8/en_US.UTF-8
>
> attached base packages:
> [1] stats =A0 =A0 graphics =A0grDevices utils =A0 =A0 datasets =A0methods=
 =A0 base
>
> other attached packages:
> [1] sem_0.9-17
>
> loaded via a namespace (and not attached):
> [1] tcltk_2.9.1 tools_2.9.1
>
> (I admit to having compiled this version of R myself (to link to a
> hand-compiled ATLAS), though no errors were thrown in the compilation sta=
ge.
> I compiled using this config string, at first...
>
> ./configure --prefix=3D/usr/local --with-x --disable-R-framework --enable=
-threads=3Dposix --with-blas=3D"/usr/local/lib/libptf77blas.a /usr/local/li=
b/libptcblas.a /usr/local/lib/libatlas.a -lpthread" --with-lapack=3D"/usr/l=
ocal/lib/liblapack.a /usr/local/lib/libptf77blas.a /usr/local/lib/libptcbla=
s.a /usr/local/lib/libatlas.a -lpthread" --without-aqua CFLAGS=3D"-O3 -mtun=
e=3Dnocona -m32" CXXFLAGS=3D"-O3 -mtune=3Dnocona -m32" FFLAGS=3D"-O3 -mtune=
=3Dnocona -m32 -L/usr/lib/gcc/i686-apple-darwin9/4.2.1 -l gfortran" F77FLAG=
S=3D"-O3 -mtune=3Dnocona -m32 -L/usr/lib/gcc/i686-apple-darwin9/4.2.1 -l gf=
ortran" FCFLAGS=3D"-O3 -mtune=3Dnocona -m32 -L/usr/lib/gcc/i686-apple-darwi=
n9/4.2.1 -l gfortran" LDFLAGS=3D"-m32 -L/sw/lib" CPPFLAGS=3D"-I/sw/include"=
 CC=3Dgcc-4.2 F77=3Dgfortran-4.2 FC=3Dgfortran-4.2 CXX=3Dg++-4.2 OBJC=3Dgcc=
-4.2
>
> ...though I have also recompiled using simply this:
>
> ./configure --prefix=3D/usr/local --with-x --disable-R-framework
>
> ...and then re-installed SEM, and I got a few other, different error
> messages and core dumps, "including type 11 is unimplemented in 'type2cha=
r'"
> and "cannot coerce type 'weakref' to vector of type 'double'". =A0Running=
 with
> debug=3DTRUE also segfaults sometimes, even after achieving "Current iter=
ate
> is probably solution" status.)
>
>> version
> =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0_
> platform =A0 =A0 =A0 x86_64-unknown-linux-gnu
> arch =A0 =A0 =A0 =A0 =A0 x86_64
> os =A0 =A0 =A0 =A0 =A0 =A0 linux-gnu
> system =A0 =A0 =A0 =A0 x86_64, linux-gnu
> status
> major =A0 =A0 =A0 =A0 =A02
> minor =A0 =A0 =A0 =A0 =A09.1
> year =A0 =A0 =A0 =A0 =A0 2009
> month =A0 =A0 =A0 =A0 =A006
> day =A0 =A0 =A0 =A0 =A0 =A026
> svn rev =A0 =A0 =A0 =A048839
> language =A0 =A0 =A0 R
> version.string R version 2.9.1 (2009-06-26)
>
>> sessionInfo()
> R version 2.9.1 (2009-06-26)
> x86_64-unknown-linux-gnu
>
> locale:
> LC_CTYPE=3Den_US;LC_NUMERIC=3DC;LC_TIME=3Den_US;LC_COLLATE=3Den_US;LC_MON=
ETARY=3DC;LC_MESSAGES=3Den_US;LC_PAPER=3Den_US;LC_NAME=3DC;LC_ADDRESS=3DC;L=
C_TELEPHONE=3DC;LC_MEASUREMENT=3Den_US;LC_IDENTIFICATION=3DC
>
> attached base packages:
> [1] stats =A0 =A0 graphics =A0grDevices utils =A0 =A0 datasets =A0methods=
 =A0 base
>
> other attached packages:
> [1] sem_0.9-17
>
> ...however, THIS platform does NOT show the bug:
>
>> version
> =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0_
> platform =A0 =A0 =A0 powerpc-unknown-linux-gnu
> arch =A0 =A0 =A0 =A0 =A0 powerpc
> os =A0 =A0 =A0 =A0 =A0 =A0 linux-gnu
> system =A0 =A0 =A0 =A0 powerpc, linux-gnu
> status
> major =A0 =A0 =A0 =A0 =A02
> minor =A0 =A0 =A0 =A0 =A09.1
> year =A0 =A0 =A0 =A0 =A0 2009
> month =A0 =A0 =A0 =A0 =A006
> day =A0 =A0 =A0 =A0 =A0 =A026
> svn rev =A0 =A0 =A0 =A048839
> language =A0 =A0 =A0 R
> version.string R version 2.9.1 (2009-06-26)
>> sessionInfo()
> R version 2.9.1 (2009-06-26)
> powerpc-unknown-linux-gnu
>
> locale:
> LC_CTYPE=3Den_US.UTF-8;LC_NUMERIC=3DC;LC_TIME=3Den_US.UTF-8;LC_COLLATE=3D=
en_US.UTF-8;LC_MONETARY=3DC;LC_MESSAGES=3Den_US.UTF-8;LC_PAPER=3Den_US.UTF-=
8;LC_NAME=3DC;LC_ADDRESS=3DC;LC_TELEPHONE=3DC;LC_MEASUREMENT=3Den_US.UTF-8;=
LC_IDENTIFICATION=3DC
>
> attached base packages:
> [1] stats =A0 =A0 graphics =A0grDevices utils =A0 =A0 datasets =A0methods=
 =A0 base
>
> other attached packages:
> [1] sem_0.9-17
>>
>
> ...for this system, the model simply repeatedly fails to converge, whethe=
r
> debug is set or not.
>
> I have also tried altering my model. This has resulted in the same bugs, =
but
> instead of "every so often simply not converging," it actually converges =
and
> appears to be the model I asked R to solve...but this is rare.
>
> Please let me know if I can provide any other info.
>
> Cordially,
> Adam D. I. Kramer
> --1660387551-1458482416-1249639718=3D:2997
> Content-Type: AUDIO/X-PN-REALAUDIO; NAME=3Dice.ram
> Content-Transfer-Encoding: BASE64
> Content-ID: <Pine.LNX.4.64.0908070308380.2997 at parser.ilovebacon.org>
> Content-Description:
> Content-Disposition: ATTACHMENT; FILENAME=3Dice.ram
>
> aW1wb3J0YW50IDwtLSBjaGFsbGVuZ2UsIE5BLCAxCmNvbXBsZXggIDwtLSBj
> aGFsbGVuZ2UsIGMuY29tcGxleCwgTkEKZGlmZmljdWx0IDwtLSBjaGFsbGVu
> Z2UsIGMuZGlmZmljdWx0LCBOQQptYW55ZGltZW5zaW9ucyA8LS0gY2hhbGxl
> bmdlLCBjLm1hbnlkaW1lbnNpb25zLCBOQQpjb3VsZGF2b2lkIDwtLSBjaGFs
> bGVuZ2UsIGMuY291bGRhdm9pZCwgTkEKb25seXNlbGYgPC0tIGNoYWxsZW5n
> ZSwgYy5vbmx5c2VsZiwgTkEKCndhc3JpZ2h0Y2hvaWNlIDwtLSBldmFsLCBO
> QSwgMQp0ZWxsZ29vZCA8LS0gZXZhbCwgZS50ZWxsZ29vZCwgTkEKdGVsbGJl
> c3QgPC0tIGV2YWwsIGUudGVsbGJlc3QsIE5BCm5lZ291dGNvbWUgPC0tIGV2
> YWwsIGUubmVnb3V0Y29tZSwgTkEKCmVxdWFsaW5mbyA8LS0gaW5mb3JtZWQs
> IE5BLCAxCmNvbnRyb2wgPC0tIGluZm9ybWVkLCBpLmNvbnRyb2wsIE5BCmRl
> c2lyZWQgPC0tIGluZm9ybWVkLCBpLmRlc2lyZWQsIE5BCmhvd211Y2hpbmZv
> IDwtLSBpbmZvcm1lZCwgaS5ob3dtdWNoaW5mbywgTkEKcG9zb3V0Y29tZSA8
> LS0gaW5mb3JtZWQsIGkucG9zb3V0Y29tZSwgTkEKCndhc3JpZ2h0Y2hvaWNl
> IDwtPiB3YXNyaWdodGNob2ljZSwgd2FzcmlnaHRjaG9pY2VWLCBOQQp0ZWxs
> Z29vZCA8LT4gdGVsbGdvb2QsIHRlbGxnb29kViwgTkEKdGVsbGJlc3QgPC0+
> IHRlbGxiZXN0LCB0ZWxsYmVzdFYsIE5BCm5lZ291dGNvbWUgPC0+IG5lZ291
> dGNvbWUsIG5lZ291dGNvbWVWLCBOQQoKb25seXNlbGYgPC0+IG9ubHlzZWxm
> LCBvbmx5c2VsZlYsIE5BCmltcG9ydGFudCA8LT4gaW1wb3J0YW50LCBpbXBv
> cnRhbnRWLCBOQQpjb21wbGV4IDwtPiBjb21wbGV4LCBjb21wbGV4ViwgTkEK
> ZGlmZmljdWx0IDwtPiBkaWZmaWN1bHQsIGRpZmZpY3VsdFYsIE5BCm1hbnlk
> aW1lbnNpb25zIDwtPiBtYW55ZGltZW5zaW9ucywgbWFueWRpbWVuc2lvbnNW
> LCBOQQpjb3VsZGF2b2lkIDwtPiBjb3VsZGF2b2lkLCBjb3VsZGF2b2lkViwg
> TkEKCmVxdWFsaW5mbyA8LT4gZXF1YWxpbmZvLCBlcXVhbGluZm9WLCBOQQpj
> b250cm9sIDwtPiBjb250cm9sLCBjb250cm9sViwgTkEKZGVzaXJlZCA8LT4g
> ZGVzaXJlZCwgZGVzaXJlZFYsIE5BCmhvd211Y2hpbmZvIDwtPiBob3dtdWNo
> aW5mbywgaG93bXVjaGluZm9WLCBOQQpwb3NvdXRjb21lIDwtPiBwb3NvdXRj
> b21lLCBwb3NvdXRjb21lViwgTkEKCmV2YWwgPC0+IGV2YWwsIGV2YWxWLCBO
> QQpjaGFsbGVuZ2UgPC0+IGNoYWxsZW5nZSwgY2hhbGxlbmdlViwgTkEKaW5m
> b3JtZWQgPC0+IGluZm9ybWVkLCBpbmZvcm1lZFYsIE5BCg=3D=3D
>
> --1660387551-1458482416-1249639718=3D:2997
> Content-Type: TEXT/CSV; CHARSET=3DUS-ASCII; NAME=3DiceS.csv
> Content-Transfer-Encoding: BASE64
> Content-ID: <Pine.LNX.4.64.0908070308381.2997 at parser.ilovebacon.org>
> Content-Description:
> Content-Disposition: ATTACHMENT; FILENAME=3DiceS.csv
>
> IiIsIndhc3JpZ2h0Y2hvaWNlIiwidGVsbGdvb2QiLCJ0ZWxsYmVzdCIsImlt
> cG9ydGFudCIsImNvbXBsZXgiLCJkaWZmaWN1bHQiLCJvbmx5c2VsZiIsIm1h
> bnlkaW1lbnNpb25zIiwiaG93bXVjaGluZm8iLCJlcXVhbGluZm8iLCJjb3Vs
> ZGF2b2lkIiwicG9zb3V0Y29tZSIsIm5lZ291dGNvbWUiLCJjb250cm9sIiwi
> ZGVzaXJlZCINCiJ3YXNyaWdodGNob2ljZSIsMC45NjM2OTc3MzE3ODk2Myww
> LjI5MjczNjMyMTIyOTY0NywwLjI4OTg1MjgwODQ4OTExNywwLjM4NTI2Njk2
> NTM2Mjc2MSwwLjE5NzY0NDgyNDY5NjMyMCwwLjE4MzA0MTMyNDA2MjI5OCwt
> MC4xNDY2MjYzNDcyMTk4NzksMC4xNDYzNTQwMjc3OTcxMDEsLTAuMTMyODg3
> NTk2OTAyNTA2LC0wLjE3Mzk2NTA2OTExMTAyNSwtMC4yNjg0NTkxNjI5MzA1
> NjcsLTAuMDY3ODA5NTM3NTA3NjIyMiwwLjE4MDU0OTkyNTAyNDM3NywtMC4w
> NDIwODQ0MzY0MDM3ODc0LC0wLjA3MzA1Nzc4OTY5MDI5NjcNCiJ0ZWxsZ29v
> ZCIsMC4yOTI3MzYzMjEyMjk2NDcsMC45NTU0OTQyNDYyMTA4NTYsMC43NTc1
> NDQxOTMzMzk1NjYsMC4xOTEyNDExODMyMDMxMjksMC4wMDAxNzQ2MzA0MTc1
> NjQ2ODgsMC4wMDM0MDg4NzExODA3MTI4NywwLjAwOTYzMDUwNDc0MzU4MDM0
> LDAuMDI4Mzg5NDM3MzMxNjY4NCwwLjAxODgwMjc1Mzk0NjMyOTksLTAuMDE1
> NzAyNjM4MTUxNTk4NSwtMC4xNDU3OTUwMDY3NDE4ODQsMC4xNDIwMzQzOTY5
> MDY4NzksMC4wMDk4MTUzODM5ODQzNDg1MSwwLjA3MDU4Njg3NTY1Mzk3MzIs
> MC4xMDgwMDA0NDkzMjgzMTMNCiJ0ZWxsYmVzdCIsMC4yODk4NTI4MDg0ODkx
> MTcsMC43NTc1NDQxOTMzMzk1NjYsMC45NDg1OTM1OTA5MTI0MDgsMC4yMzA1
> OTg5NTg1OTc1MjgsMC4wMzAyNjkyMTA2MTM1NDM5LDAuMDE1NTQ0NzA1NTc4
> MzEyMiwwLjAzMjE2OTMyODE5ODg2NjksMC4wNjQ2MzEyMzI2MTg3MDk2LDAu
> MDEwMjk0NTA4NTY1MTI0NiwtMC4wMTk2NzU5OTk3OTIzMDA5LC0wLjE3ODc2
> NTU2MzM1NDgyOCwwLjE1MTM0MzU2Nzc2MTg1OSwtMC4wMzM2NTU5MDYzMzA3
> ODM1LDAuMDkyOTA2MjI3OTMzNDg5OCwwLjE1OTczNTYxODQyMzMzNQ0KImlt
> cG9ydGFudCIsMC4zODUyNjY5NjUzNjI3NjEsMC4xOTEyNDExODMyMDMxMjks
> MC4yMzA1OTg5NTg1OTc1MjgsMC45NjQ0OTc4ODAzNDM2MSwwLjY0NzY1NzE0
> MTQ4ODM3NSwwLjUxNDE3NTk3NDU1NDExNCwtMC4xOTc1MDY3MDU5MTcxMjMs
> MC40NzQ3MjMzMzI0Njk4NzUsLTAuMTI5MDkxMzI5ODE2MjAxLC0wLjE4OTIy
> OTEyMzcwNTM0MSwtMC40NjIxOTU4MzkyNjUwMzUsMC4xMjQxNTgzMzk1Mjcz
> MjIsMC4xNjA2NjEzMDc0ODY1NTksLTAuMDg2NDU3MzcyNzQ2NjI2NSwtMC4w
> NjgzNjc0ODQyNDk4ODAxDQoiY29tcGxleCIsMC4xOTc2NDQ4MjQ2OTYzMjAs
> MC4wMDAxNzQ2MzA0MTc1NjQ2ODgsMC4wMzAyNjkyMTA2MTM1NDM5LDAuNjQ3
> NjU3MTQxNDg4Mzc1LDAuOTc2MzIxNjU1NzYyOTY4LDAuNzU0OTc4Nzc3MzA5
> NTUzLC0wLjI2MjM0MDQyNTgyNDA1MiwwLjY1NjcxNzUzMzM2MTE3NiwtMC4x
> NjA0MjcxMzk2NzMwMTgsLTAuMjM2MjEwODU2MDgzOTAyLC0wLjM4NTQ1MjEw
> MDA0NjYyMywwLjAyMzg3NzU3MjgyNzcxNTcsMC4zMjQ1MjU2NTMxNjQ1MDgs
> LTAuMjQwNjM0ODA0ODg3MDU1LC0wLjIzMzY5NjU1NDE4OTE2NA0KImRpZmZp
> Y3VsdCIsMC4xODMwNDEzMjQwNjIyOTgsMC4wMDM0MDg4NzExODA3MTI4Nyww
> LjAxNTU0NDcwNTU3ODMxMjIsMC41MTQxNzU5NzQ1NTQxMTQsMC43NTQ5Nzg3
> NzczMDk1NTMsMC45NTczMjQzNDE2NjE5NzIsLTAuMTgzMDA1NTg3NTUxNjI0
> LDAuNTIzMTgzOTkzODk3NjMyLC0wLjE5NzgzMzM1NDQzMDkwNywtMC4yMjg0
> MzQ3MTMwNjE3NzYsLTAuMjYzNTg3NzQ2MDIxMTc0LC0wLjA0NTM5NzEzNzc3
> MDA4NDUsMC4zMzAwNzU2NjY1MjY3NjEsLTAuMjM0NzA3NTE3Njc3NTg2LC0w
> LjIzOTEyNjk3MTQ4MDYyNQ0KIm9ubHlzZWxmIiwtMC4xNDY2MjYzNDcyMTk4
> NzksMC4wMDk2MzA1MDQ3NDM1ODAzNCwwLjAzMjE2OTMyODE5ODg2NjksLTAu
> MTk3NTA2NzA1OTE3MTIzLC0wLjI2MjM0MDQyNTgyNDA1MiwtMC4xODMwMDU1
> ODc1NTE2MjQsMC45NDc4NTI0MTU0NDM2NjMsLTAuMjY4MzMzOTc5Mjk1NjEy
> LDAuMDc4NzE5MTg3OTIxNTY1NCwwLjA4MDA1NTQ0MzA5MzgwMzYsMC4xNjM1
> OTUyNzc0OTg3NTgsLTAuMDA1MDcyNjg2MDg0MTc3MDQsLTAuMTYwMTM3NTQ1
> ODcxNDQ4LDAuMjExMjU3MjUyMjg3OTc5LDAuMTQ3ODg0MzUyNTg4NDk5DQoi
> bWFueWRpbWVuc2lvbnMiLDAuMTQ2MzU0MDI3Nzk3MTAxLDAuMDI4Mzg5NDM3
> MzMxNjY4NCwwLjA2NDYzMTIzMjYxODcwOTYsMC40NzQ3MjMzMzI0Njk4NzUs
> MC42NTY3MTc1MzMzNjExNzYsMC41MjMxODM5OTM4OTc2MzIsLTAuMjY4MzMz
> OTc5Mjk1NjEyLDAuOTQ5OTE3NjYyNjE2MTYsLTAuMTEzMjk1NjY3NDA4MTc3
> LC0wLjE4MTU3NjQ3MzE3MDc4NCwtMC4yNzkyOTg0MTcxNzcyNjEsMC4wNDQy
> NDgxMjM1MDgyNTI4LDAuMjU4MzQ5NzAyNDYwNjYzLC0wLjE5Njk5MzM0NjMz
> NzIxNCwtMC4yMjI1MzM5NTI2MzM0ODINCiJob3dtdWNoaW5mbyIsLTAuMTMy
> ODg3NTk2OTAyNTA2LDAuMDE4ODAyNzUzOTQ2MzI5OSwwLjAxMDI5NDUwODU2
> NTEyNDYsLTAuMTI5MDkxMzI5ODE2MjAxLC0wLjE2MDQyNzEzOTY3MzAxOCwt
> MC4xOTc4MzMzNTQ0MzA5MDcsMC4wNzg3MTkxODc5MjE1NjU0LC0wLjExMzI5
> NTY2NzQwODE3NywwLjk0NjcyMjc0NjEzNzQxNSwwLjcwNjk3NjAxNTU4MjIx
> OCwwLjA5MjMxOTI3MDQ0Mzk5MzQsMC4yMTMwMzIyNDI0NzMzMTUsLTAuMjA5
> ODgyNDMxNzY1MTEwLDAuMjM5MTI0NTUxNjI5NTU5LDAuMjE5MDc4MzUyODkw
> NjU3DQoiZXF1YWxpbmZvIiwtMC4xNzM5NjUwNjkxMTEwMjUsLTAuMDE1NzAy
> NjM4MTUxNTk4NSwtMC4wMTk2NzU5OTk3OTIzMDA5LC0wLjE4OTIyOTEyMzcw
> NTM0MSwtMC4yMzYyMTA4NTYwODM5MDIsLTAuMjI4NDM0NzEzMDYxNzc2LDAu
> MDgwMDU1NDQzMDkzODAzNiwtMC4xODE1NzY0NzMxNzA3ODQsMC43MDY5NzYw
> MTU1ODIyMTgsMC45NjQ1MTc1NjI3NzgzMjgsMC4xODA1MTczMjU3NTIzODcs
> MC4xNjM4NDQ2NDA0OTU5ODMsLTAuMjEzODA0NTUwMDQzMjM5LDAuMjU4MDMy
> MzIyODI0NTk5LDAuMTkxODIwNDQ3NDA0MzM1DQoiY291bGRhdm9pZCIsLTAu
> MjY4NDU5MTYyOTMwNTY3LC0wLjE0NTc5NTAwNjc0MTg4NCwtMC4xNzg3NjU1
> NjMzNTQ4MjgsLTAuNDYyMTk1ODM5MjY1MDM1LC0wLjM4NTQ1MjEwMDA0NjYy
> MywtMC4yNjM1ODc3NDYwMjExNzQsMC4xNjM1OTUyNzc0OTg3NTgsLTAuMjc5
> Mjk4NDE3MTc3MjYxLDAuMDkyMzE5MjcwNDQzOTkzNCwwLjE4MDUxNzMyNTc1
> MjM4NywwLjk2MzIzNzMwOTczMDcyNiwtMC4xMjAxMzAxOTYzOTI0MDYsLTAu
> MDY4OTY1OTY1NzA1NzA5MSwwLjE2NTUzMzIwODc0MzU0NywwLjE5MTQyMTEz
> NDE4OTY4Mg0KInBvc291dGNvbWUiLC0wLjA2NzgwOTUzNzUwNzYyMjIsMC4x
> NDIwMzQzOTY5MDY4NzksMC4xNTEzNDM1Njc3NjE4NTksMC4xMjQxNTgzMzk1
> MjczMjIsMC4wMjM4Nzc1NzI4Mjc3MTU3LC0wLjA0NTM5NzEzNzc3MDA4NDUs
> LTAuMDA1MDcyNjg2MDg0MTc3MDQsMC4wNDQyNDgxMjM1MDgyNTI4LDAuMjEz
> MDMyMjQyNDczMzE1LDAuMTYzODQ0NjQwNDk1OTgzLC0wLjEyMDEzMDE5NjM5
> MjQwNiwwLjkzOTEwNzcxNzE4NjM4NSwtMC4yOTEyNjIzOTE4Mjc2NzEsMC4y
> NTYyNzQxOTU5ODMwMDQsMC4zNDY0NDE0MTExMTYxNDcNCiJuZWdvdXRjb21l
> IiwwLjE4MDU0OTkyNTAyNDM3NywwLjAwOTgxNTM4Mzk4NDM0ODUxLC0wLjAz
> MzY1NTkwNjMzMDc4MzUsMC4xNjA2NjEzMDc0ODY1NTksMC4zMjQ1MjU2NTMx
> NjQ1MDgsMC4zMzAwNzU2NjY1MjY3NjEsLTAuMTYwMTM3NTQ1ODcxNDQ4LDAu
> MjU4MzQ5NzAyNDYwNjYzLC0wLjIwOTg4MjQzMTc2NTExMCwtMC4yMTM4MDQ1
> NTAwNDMyMzksLTAuMDY4OTY1OTY1NzA1NzA5MSwtMC4yOTEyNjIzOTE4Mjc2
> NzEsMC45NTI1NTI5NjU3OTY0MjEsLTAuMjIxOTE3MjIyOTMwMTksLTAuMjMx
> MDMyMDE0OTI3Mzk3DQoiY29udHJvbCIsLTAuMDQyMDg0NDM2NDAzNzg3NCww
> LjA3MDU4Njg3NTY1Mzk3MzIsMC4wOTI5MDYyMjc5MzM0ODk4LC0wLjA4NjQ1
> NzM3Mjc0NjYyNjUsLTAuMjQwNjM0ODA0ODg3MDU1LC0wLjIzNDcwNzUxNzY3
> NzU4NiwwLjIxMTI1NzI1MjI4Nzk3OSwtMC4xOTY5OTMzNDYzMzcyMTQsMC4y
> MzkxMjQ1NTE2Mjk1NTksMC4yNTgwMzIzMjI4MjQ1OTksMC4xNjU1MzMyMDg3
> NDM1NDcsMC4yNTYyNzQxOTU5ODMwMDQsLTAuMjIxOTE3MjIyOTMwMTksMC45
> Mzc2MDc1MzMxODY1NzYsMC4zMTI2NjQxOTk2MzE2MjANCiJkZXNpcmVkIiwt
> MC4wNzMwNTc3ODk2OTAyOTY3LDAuMTA4MDAwNDQ5MzI4MzEzLDAuMTU5NzM1
> NjE4NDIzMzM1LC0wLjA2ODM2NzQ4NDI0OTg4MDEsLTAuMjMzNjk2NTU0MTg5
> MTY0LC0wLjIzOTEyNjk3MTQ4MDYyNSwwLjE0Nzg4NDM1MjU4ODQ5OSwtMC4y
> MjI1MzM5NTI2MzM0ODIsMC4yMTkwNzgzNTI4OTA2NTcsMC4xOTE4MjA0NDc0
> MDQzMzUsMC4xOTE0MjExMzQxODk2ODIsMC4zNDY0NDE0MTExMTYxNDcsLTAu
> MjMxMDMyMDE0OTI3Mzk3LDAuMzEyNjY0MTk5NjMxNjIwLDAuOTYzMTMxNjM5
> NTYwMTA4DQo=3D
>
> --1660387551-1458482416-1249639718=3D:2997--
>
> ______________________________________________
> R-devel at r-project.org mailing list
> https://stat.ethz.ch/mailman/listinfo/r-devel
>



--=20
Jeffrey Ryan
jeffrey.ryan at insightalgo.com

ia: insight algorithmics
www.insightalgo.com



More information about the R-devel mailing list