Martin Maechler
2016-Sep-06 20:26 UTC
[Rd] R (development) changes in arith, logic, relop with (0-extent) arrays
Yesterday, changes to R's development version were committed, relating to arithmetic, logic ('&' and '|') and comparison/relational ('<', '==') binary operators which in NEWS are described as SIGNIFICANT USER-VISIBLE CHANGES: [.............] ? Arithmetic, logic (?&?, ?|?) and comparison (aka ?relational?, e.g., ?<?, ?==?) operations with arrays now behave consistently, notably for arrays of length zero. Arithmetic between length-1 arrays and longer non-arrays had silently dropped the array attributes and recycled. This now gives a warning and will signal an error in the future, as it has always for logic and comparison operations in these cases (e.g., compare ?matrix(1,1) + 2:3? and ?matrix(1,1) < 2:3?). As the above "visually suggests" one could think of the changes falling mainly two groups, 1) <0-extent array> (op) <non-array> 2) <1-extent array> (arith) <non-array of length != 1> These changes are partly non-back compatible and may break existing code. We believe that the internal consistency gained from the changes is worth the few places with problems. We expect some package maintainers (10-20, or even more?) need to adapt their code. Case '2)' above mainly results in a new warning, e.g., > matrix(1,1) + 1:2 [1] 2 3 Warning message: In matrix(1, 1) + 1:2 : dropping dim() of array of length one. Will become ERROR > whereas '1)' gives errors in cases the result silently was a vector of length zero, or also keeps array (dim & dimnames) in cases these were silently dropped. The following is a "heavily" commented R script showing (all ?) the important cases with changes : ---------------------------------------------------------------------------- (m <- cbind(a=1[0], b=2[0])) Lm <- m; storage.mode(Lm) <- "logical" Im <- m; storage.mode(Im) <- "integer" ## 1. ------------------------- try( m & NULL ) # in R <= 3.3.x : ## Error in m & NULL : ## operations are possible only for numeric, logical or complex types ## ## gives 'Lm' in R >= 3.4.0 ## 2. ------------------------- m + 2:3 ## gave numeric(0), now remains matrix identical to m Im + 2:3 ## gave integer(0), now remains matrix identical to Im (integer) m > 1 ## gave logical(0), now remains matrix identical to Lm (logical) m > 0.1[0] ## ditto m > NULL ## ditto ## 3. ------------------------- mm <- m[,c(1:2,2:1,2)] try( m == mm ) ## now gives error "non-conformable arrays", ## but gave logical(0) in R <= 3.3.x ## 4. ------------------------- str( Im + NULL) ## gave "num", now gives "int" ## 5. ------------------------- ## special case for arithmetic w/ length-1 array (m1 <- matrix(1,1,1, dimnames=list("Ro","col"))) (m2 <- matrix(1,2,1, dimnames=list(c("A","B"),"col"))) m1 + 1:2 # -> 2:3 but now with warning to "become ERROR" tools::assertError(m1 & 1:2)# ERR: dims [product 1] do not match the length of object [2] tools::assertError(m1 < 1:2)# ERR: (ditto) ## ## non-0-length arrays combined with {NULL or double() or ...} *fail* ### Length-1 arrays: Arithmetic with |vectors| > 1 treated array as scalar m1 + NULL # gave numeric(0) in R <= 3.3.x --- still, *but* w/ warning to "be ERROR" try(m1 > NULL) # gave logical(0) in R <= 3.3.x --- an *error* now in R >= 3.4.0 tools::assertError(m1 & NULL) # gave and gives error tools::assertError(m1 | double())# ditto ## m2 was slightly different: tools::assertError(m2 + NULL) tools::assertError(m2 & NULL) try(m2 == NULL) ## was logical(0) in R <= 3.3.x; now error as above! ---------------------------------------------------------------------------- Note that in R's own 'nls' sources, there was one case of situation '2)' above, i.e. a 1x1-matrix was used as a "scalar". In such cases, you should explicitly coerce it to a vector, either ("self-explainingly") by as.vector(.), or as I did in the nls case by c(.) : The latter is much less self-explaining, but nicer to read in mathematical formulae, and currently also more efficient because it is a .Primitive. Please use R-devel with your code, and let us know if you see effects that seem adverse. In some case where R-devel now gives an error but did not previously, we could contemplate giving another "warning .... 'to become ERROR'" if there was too much breakage, though I don't expect that. For the R Core Team, Martin Maechler, ETH Zurich
Martin Maechler
2016-Sep-07 09:49 UTC
[Rd] R (development) changes in arith, logic, relop with (0-extent) arrays
>>>>> Martin Maechler <maechler at stat.math.ethz.ch> >>>>> on Tue, 6 Sep 2016 22:26:31 +0200 writes:> Yesterday, changes to R's development version were committed, relating > to arithmetic, logic ('&' and '|') and > comparison/relational ('<', '==') binary operators > which in NEWS are described as > SIGNIFICANT USER-VISIBLE CHANGES: > [.............] > ? Arithmetic, logic (?&?, ?|?) and comparison (aka > ?relational?, e.g., ?<?, ?==?) operations with arrays now > behave consistently, notably for arrays of length zero. > Arithmetic between length-1 arrays and longer non-arrays had > silently dropped the array attributes and recycled. This > now gives a warning and will signal an error in the future, > as it has always for logic and comparison operations in > these cases (e.g., compare ?matrix(1,1) + 2:3? and > ?matrix(1,1) < 2:3?). > As the above "visually suggests" one could think of the changes > falling mainly two groups, > 1) <0-extent array> (op) <non-array> > 2) <1-extent array> (arith) <non-array of length != 1> > These changes are partly non-back compatible and may break > existing code. We believe that the internal consistency gained > from the changes is worth the few places with problems. > We expect some package maintainers (10-20, or even more?) need > to adapt their code. > Case '2)' above mainly results in a new warning, e.g., >> matrix(1,1) + 1:2 > [1] 2 3 > Warning message: > In matrix(1, 1) + 1:2 : > dropping dim() of array of length one. Will become ERROR >> > whereas '1)' gives errors in cases the result silently was a > vector of length zero, or also keeps array (dim & dimnames) in > cases these were silently dropped. > The following is a "heavily" commented R script showing (all ?) > the important cases with changes : > ---------------------------------------------------------------------------- > (m <- cbind(a=1[0], b=2[0])) > Lm <- m; storage.mode(Lm) <- "logical" > Im <- m; storage.mode(Im) <- "integer" > ## 1. ------------------------- > try( m & NULL ) # in R <= 3.3.x : > ## Error in m & NULL : > ## operations are possible only for numeric, logical or complex types > ## > ## gives 'Lm' in R >= 3.4.0 > ## 2. ------------------------- > m + 2:3 ## gave numeric(0), now remains matrix identical to m > Im + 2:3 ## gave integer(0), now remains matrix identical to Im (integer) > m > 1 ## gave logical(0), now remains matrix identical to Lm (logical) > m > 0.1[0] ## ditto > m > NULL ## ditto > ## 3. ------------------------- > mm <- m[,c(1:2,2:1,2)] > try( m == mm ) ## now gives error "non-conformable arrays", > ## but gave logical(0) in R <= 3.3.x > ## 4. ------------------------- > str( Im + NULL) ## gave "num", now gives "int" > ## 5. ------------------------- > ## special case for arithmetic w/ length-1 array > (m1 <- matrix(1,1,1, dimnames=list("Ro","col"))) > (m2 <- matrix(1,2,1, dimnames=list(c("A","B"),"col"))) > m1 + 1:2 # -> 2:3 but now with warning to "become ERROR" > tools::assertError(m1 & 1:2)# ERR: dims [product 1] do not match the length of object [2] > tools::assertError(m1 < 1:2)# ERR: (ditto) > ## > ## non-0-length arrays combined with {NULL or double() or ...} *fail* > ### Length-1 arrays: Arithmetic with |vectors| > 1 treated array as scalar > m1 + NULL # gave numeric(0) in R <= 3.3.x --- still, *but* w/ warning to "be ERROR" > try(m1 > NULL) # gave logical(0) in R <= 3.3.x --- an *error* now in R >= 3.4.0 > tools::assertError(m1 & NULL) # gave and gives error > tools::assertError(m1 | double())# ditto > ## m2 was slightly different: > tools::assertError(m2 + NULL) > tools::assertError(m2 & NULL) > try(m2 == NULL) ## was logical(0) in R <= 3.3.x; now error as above! > ---------------------------------------------------------------------------- > Note that in R's own 'nls' sources, there was one case of > situation '2)' above, i.e. a 1x1-matrix was used as a "scalar". > In such cases, you should explicitly coerce it to a vector, > either ("self-explainingly") by as.vector(.), or as I did in > the nls case by c(.) : The latter is much less > self-explaining, but nicer to read in mathematical formulae, and > currently also more efficient because it is a .Primitive. > Please use R-devel with your code, and let us know if you see > effects that seem adverse. I've been slightly surprised (or even "frustrated") by the empty reaction on our R-devel list to this post. I would have expected some critique, may be even some praise, ... in any case some sign people are "thinking along" (as we say in German). In the mean time, I've actually thought along the one case which is last above: The <op> (binary operation) between a non-0-length array and a 0-length vector (and NULL which should be treated like a 0-length vector): R <= 3.3.1 *is* quite inconsistent with these: and my proposal above (implemented in R-devel, since Sep.5) would give an error for all these, but instead, R really could be more lenient here: A 0-length result is ok, and it should *not* inherit the array (dim, dimnames), since the array is not of length 0. So instead of the above [for the very last part only!!], we would aim for the following. These *all* give an error in current R-devel, with the exception of 'm1 + NULL' which "only" gives a "bad warning" : ------------------------ m1 <- matrix(1,1) m2 <- matrix(1,2) m1 + NULL # numeric(0) in R <= 3.3.x ---> OK ?! m1 > NULL # logical(0) in R <= 3.3.x ---> OK ?! try(m1 & NULL) # ERROR in R <= 3.3.x ---> change to logical(0) ?! try(m1 | double())# ERROR in R <= 3.3.x ---> change to logical(0) ?! ## m2 slightly different: try(m2 + NULL) # ERROR in R <= 3.3.x ---> change to double(0) ?! try(m2 & NULL) # ERROR in R <= 3.3.x ---> change to logical(0) ?! m2 == NULL # logical(0) in R <= 3.3.x ---> OK ?! ------------------------ This would be slightly more back-compatible than the currently implemented proposal. Everything else I said remains true, and I'm pretty sure most changes needed in packages would remain to be done. Opinions ? > In some case where R-devel now gives an error but did not > previously, we could contemplate giving another "warning > .... 'to become ERROR'" if there was too much breakage, though > I don't expect that. > For the R Core Team, > Martin Maechler, > ETH Zurich
Martin Maechler
2016-Sep-07 20:49 UTC
[Rd] R (development) changes in arith, logic, relop with (0-extent) arrays
>>>>> Martin Maechler <maechler at stat.math.ethz.ch> >>>>> on Wed, 7 Sep 2016 11:49:11 +0200 writes:>>>>> Martin Maechler <maechler at stat.math.ethz.ch> >>>>> on Tue, 6 Sep 2016 22:26:31 +0200 writes:>> Yesterday, changes to R's development version were committed, relating >> to arithmetic, logic ('&' and '|') and >> comparison/relational ('<', '==') binary operators >> which in NEWS are described as >> SIGNIFICANT USER-VISIBLE CHANGES: >> [.............] >> ? Arithmetic, logic (?&?, ?|?) and comparison (aka >> ?relational?, e.g., ?<?, ?==?) operations with arrays now >> behave consistently, notably for arrays of length zero. >> Arithmetic between length-1 arrays and longer non-arrays had >> silently dropped the array attributes and recycled. This >> now gives a warning and will signal an error in the future, >> as it has always for logic and comparison operations in >> these cases (e.g., compare ?matrix(1,1) + 2:3? and >> ?matrix(1,1) < 2:3?). >> As the above "visually suggests" one could think of the changes >> falling mainly two groups, >> 1) <0-extent array> (op) <non-array> >> 2) <1-extent array> (arith) <non-array of length != 1> >> These changes are partly non-back compatible and may break >> existing code. We believe that the internal consistency gained >> from the changes is worth the few places with problems. >> We expect some package maintainers (10-20, or even more?) need >> to adapt their code. >> Case '2)' above mainly results in a new warning, e.g., >>> matrix(1,1) + 1:2 >> [1] 2 3 >> Warning message: >> In matrix(1, 1) + 1:2 : >> dropping dim() of array of length one. Will become ERROR >>> >> whereas '1)' gives errors in cases the result silently was a >> vector of length zero, or also keeps array (dim & dimnames) in >> cases these were silently dropped. >> The following is a "heavily" commented R script showing (all ?) >> the important cases with changes : >> ---------------------------------------------------------------------------- >> (m <- cbind(a=1[0], b=2[0])) >> Lm <- m; storage.mode(Lm) <- "logical" >> Im <- m; storage.mode(Im) <- "integer" >> ## 1. ------------------------- >> try( m & NULL ) # in R <= 3.3.x : >> ## Error in m & NULL : >> ## operations are possible only for numeric, logical or complex types >> ## >> ## gives 'Lm' in R >= 3.4.0 >> ## 2. ------------------------- >> m + 2:3 ## gave numeric(0), now remains matrix identical to m >> Im + 2:3 ## gave integer(0), now remains matrix identical to Im (integer) >> m > 1 ## gave logical(0), now remains matrix identical to Lm (logical) >> m > 0.1[0] ## ditto >> m > NULL ## ditto >> ## 3. ------------------------- >> mm <- m[,c(1:2,2:1,2)] >> try( m == mm ) ## now gives error "non-conformable arrays", >> ## but gave logical(0) in R <= 3.3.x >> ## 4. ------------------------- >> str( Im + NULL) ## gave "num", now gives "int" >> ## 5. ------------------------- >> ## special case for arithmetic w/ length-1 array >> (m1 <- matrix(1,1,1, dimnames=list("Ro","col"))) >> (m2 <- matrix(1,2,1, dimnames=list(c("A","B"),"col"))) >> m1 + 1:2 # -> 2:3 but now with warning to "become ERROR" >> tools::assertError(m1 & 1:2)# ERR: dims [product 1] do not match the length of object [2] >> tools::assertError(m1 < 1:2)# ERR: (ditto) >> ## >> ## non-0-length arrays combined with {NULL or double() or ...} *fail* >> ### Length-1 arrays: Arithmetic with |vectors| > 1 treated array as scalar >> m1 + NULL # gave numeric(0) in R <= 3.3.x --- still, *but* w/ warning to "be ERROR" >> try(m1 > NULL) # gave logical(0) in R <= 3.3.x --- an *error* now in R >= 3.4.0 >> tools::assertError(m1 & NULL) # gave and gives error >> tools::assertError(m1 | double())# ditto >> ## m2 was slightly different: >> tools::assertError(m2 + NULL) >> tools::assertError(m2 & NULL) >> try(m2 == NULL) ## was logical(0) in R <= 3.3.x; now error as above! >> ---------------------------------------------------------------------------- >> Note that in R's own 'nls' sources, there was one case of >> situation '2)' above, i.e. a 1x1-matrix was used as a "scalar". >> In such cases, you should explicitly coerce it to a vector, >> either ("self-explainingly") by as.vector(.), or as I did in >> the nls case by c(.) : The latter is much less >> self-explaining, but nicer to read in mathematical formulae, and >> currently also more efficient because it is a .Primitive. >> Please use R-devel with your code, and let us know if you see >> effects that seem adverse. > I've been slightly surprised (or even "frustrated") by the empty > reaction on our R-devel list to this post. > I would have expected some critique, may be even some praise, > ... in any case some sign people are "thinking along" (as we say > in German). > In the mean time, I've actually thought along the one case which > is last above: The <op> (binary operation) between a > non-0-length array and a 0-length vector (and NULL which should > be treated like a 0-length vector): > R <= 3.3.1 *is* quite inconsistent with these: > and my proposal above (implemented in R-devel, since Sep.5) would give an > error for all these, but instead, R really could be more lenient here: > A 0-length result is ok, and it should *not* inherit the array > (dim, dimnames), since the array is not of length 0. So instead > of the above [for the very last part only!!], we would aim for > the following. These *all* give an error in current R-devel, > with the exception of 'm1 + NULL' which "only" gives a "bad > warning" : > ------------------------ > m1 <- matrix(1,1) > m2 <- matrix(1,2) > m1 + NULL # numeric(0) in R <= 3.3.x ---> OK ?! > m1 > NULL # logical(0) in R <= 3.3.x ---> OK ?! > try(m1 & NULL) # ERROR in R <= 3.3.x ---> change to logical(0) ?! > try(m1 | double())# ERROR in R <= 3.3.x ---> change to logical(0) ?! > ## m2 slightly different: > try(m2 + NULL) # ERROR in R <= 3.3.x ---> change to double(0) ?! > try(m2 & NULL) # ERROR in R <= 3.3.x ---> change to logical(0) ?! > m2 == NULL # logical(0) in R <= 3.3.x ---> OK ?! > ------------------------ > This would be slightly more back-compatible than the currently > implemented proposal. Everything else I said remains true, and > I'm pretty sure most changes needed in packages would remain to be done. > Opinions ? I now have updated 'R-devel' so it *does* implement the above small amendment to the original proposal. As a consequence, to *cumulative* changes are slightly more back compatible. If you are interested in this topic .. or if your CRAN package checks show recent problems on the 'CRAN checks' web page, make sure you get an R-devel version with svn rev. 71222 or newer. Martin
robin hankin
2016-Sep-07 22:05 UTC
[Rd] R (development) changes in arith, logic, relop with (0-extent) arrays
Martin I'd like to make a comment; I think that R's behaviour on 'edge' cases like this is an important thing and it's great that you are working on it. I make heavy use of zero-extent arrays, chiefly because the dimnames are an efficient and logical way to keep track of certain types of information. If I have, for example, a <- array(0,c(2,0,2)) dimnames(a) <- list(name=c('Mike','Kevin'),NULL,item=c("hat","scarf")) Then in R-3.3.1, 70800 I get> a>0logical(0)>But in 71219 I get> a>0, , item = hat name Mike Kevin , , item = scarf name Mike Kevin (which is an empty logical array that holds the names of the people and their clothes). I find the behaviour of 71219 very much preferable because there is no reason to discard the information in the dimnames. Best wishes Robin On Wed, Sep 7, 2016 at 9:49 PM, Martin Maechler <maechler at stat.math.ethz.ch> wrote:> >>>>> Martin Maechler <maechler at stat.math.ethz.ch> > >>>>> on Tue, 6 Sep 2016 22:26:31 +0200 writes: > > > Yesterday, changes to R's development version were committed, > relating > > to arithmetic, logic ('&' and '|') and > > comparison/relational ('<', '==') binary operators > > which in NEWS are described as > > > SIGNIFICANT USER-VISIBLE CHANGES: > > > [.............] > > > ? Arithmetic, logic (?&?, ?|?) and comparison (aka > > ?relational?, e.g., ?<?, ?==?) operations with arrays now > > behave consistently, notably for arrays of length zero. > > > Arithmetic between length-1 arrays and longer non-arrays had > > silently dropped the array attributes and recycled. This > > now gives a warning and will signal an error in the future, > > as it has always for logic and comparison operations in > > these cases (e.g., compare ?matrix(1,1) + 2:3? and > > ?matrix(1,1) < 2:3?). > > > As the above "visually suggests" one could think of the changes > > falling mainly two groups, > > 1) <0-extent array> (op) <non-array> > > 2) <1-extent array> (arith) <non-array of length != 1> > > > These changes are partly non-back compatible and may break > > existing code. We believe that the internal consistency gained > > from the changes is worth the few places with problems. > > > We expect some package maintainers (10-20, or even more?) need > > to adapt their code. > > > Case '2)' above mainly results in a new warning, e.g., > > >> matrix(1,1) + 1:2 > > [1] 2 3 > > Warning message: > > In matrix(1, 1) + 1:2 : > > dropping dim() of array of length one. Will become ERROR > >> > > > whereas '1)' gives errors in cases the result silently was a > > vector of length zero, or also keeps array (dim & dimnames) in > > cases these were silently dropped. > > > The following is a "heavily" commented R script showing (all ?) > > the important cases with changes : > > > ------------------------------------------------------------ > ---------------- > > > (m <- cbind(a=1[0], b=2[0])) > > Lm <- m; storage.mode(Lm) <- "logical" > > Im <- m; storage.mode(Im) <- "integer" > > > ## 1. ------------------------- > > try( m & NULL ) # in R <= 3.3.x : > > ## Error in m & NULL : > > ## operations are possible only for numeric, logical or complex > types > > ## > > ## gives 'Lm' in R >= 3.4.0 > > > ## 2. ------------------------- > > m + 2:3 ## gave numeric(0), now remains matrix identical to m > > Im + 2:3 ## gave integer(0), now remains matrix identical to Im > (integer) > > > m > 1 ## gave logical(0), now remains matrix identical to Lm > (logical) > > m > 0.1[0] ## ditto > > m > NULL ## ditto > > > ## 3. ------------------------- > > mm <- m[,c(1:2,2:1,2)] > > try( m == mm ) ## now gives error "non-conformable arrays", > > ## but gave logical(0) in R <= 3.3.x > > > ## 4. ------------------------- > > str( Im + NULL) ## gave "num", now gives "int" > > > ## 5. ------------------------- > > ## special case for arithmetic w/ length-1 array > > (m1 <- matrix(1,1,1, dimnames=list("Ro","col"))) > > (m2 <- matrix(1,2,1, dimnames=list(c("A","B"),"col"))) > > > m1 + 1:2 # -> 2:3 but now with warning to "become ERROR" > > tools::assertError(m1 & 1:2)# ERR: dims [product 1] do not match the > length of object [2] > > tools::assertError(m1 < 1:2)# ERR: (ditto) > > ## > > ## non-0-length arrays combined with {NULL or double() or ...} *fail* > > > ### Length-1 arrays: Arithmetic with |vectors| > 1 treated array > as scalar > > m1 + NULL # gave numeric(0) in R <= 3.3.x --- still, *but* w/ > warning to "be ERROR" > > try(m1 > NULL) # gave logical(0) in R <= 3.3.x --- an *error* > now in R >= 3.4.0 > > tools::assertError(m1 & NULL) # gave and gives error > > tools::assertError(m1 | double())# ditto > > ## m2 was slightly different: > > tools::assertError(m2 + NULL) > > tools::assertError(m2 & NULL) > > try(m2 == NULL) ## was logical(0) in R <= 3.3.x; now error as above! > > > ------------------------------------------------------------ > ---------------- > > > > Note that in R's own 'nls' sources, there was one case of > > situation '2)' above, i.e. a 1x1-matrix was used as a "scalar". > > > In such cases, you should explicitly coerce it to a vector, > > either ("self-explainingly") by as.vector(.), or as I did in > > the nls case by c(.) : The latter is much less > > self-explaining, but nicer to read in mathematical formulae, and > > currently also more efficient because it is a .Primitive. > > > Please use R-devel with your code, and let us know if you see > > effects that seem adverse. > > I've been slightly surprised (or even "frustrated") by the empty > reaction on our R-devel list to this post. > > I would have expected some critique, may be even some praise, > ... in any case some sign people are "thinking along" (as we say > in German). > > In the mean time, I've actually thought along the one case which > is last above: The <op> (binary operation) between a > non-0-length array and a 0-length vector (and NULL which should > be treated like a 0-length vector): > > R <= 3.3.1 *is* quite inconsistent with these: > > > and my proposal above (implemented in R-devel, since Sep.5) would give an > error for all these, but instead, R really could be more lenient here: > A 0-length result is ok, and it should *not* inherit the array > (dim, dimnames), since the array is not of length 0. So instead > of the above [for the very last part only!!], we would aim for > the following. These *all* give an error in current R-devel, > with the exception of 'm1 + NULL' which "only" gives a "bad > warning" : > > ------------------------ > > m1 <- matrix(1,1) > m2 <- matrix(1,2) > > m1 + NULL # numeric(0) in R <= 3.3.x ---> OK ?! > m1 > NULL # logical(0) in R <= 3.3.x ---> OK ?! > try(m1 & NULL) # ERROR in R <= 3.3.x ---> change to logical(0) ?! > try(m1 | double())# ERROR in R <= 3.3.x ---> change to logical(0) ?! > ## m2 slightly different: > try(m2 + NULL) # ERROR in R <= 3.3.x ---> change to double(0) ?! > try(m2 & NULL) # ERROR in R <= 3.3.x ---> change to logical(0) ?! > m2 == NULL # logical(0) in R <= 3.3.x ---> OK ?! > > ------------------------ > > This would be slightly more back-compatible than the currently > implemented proposal. Everything else I said remains true, and > I'm pretty sure most changes needed in packages would remain to be done. > > Opinions ? > > > > > In some case where R-devel now gives an error but did not > > previously, we could contemplate giving another "warning > > .... 'to become ERROR'" if there was too much breakage, though > > I don't expect that. > > > > For the R Core Team, > > > Martin Maechler, > > ETH Zurich > > ______________________________________________ > R-devel at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-devel >-- Robin Hankin Neutral theorist hankin.robin at gmail.com [[alternative HTML version deleted]]
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