https://github.com/cran/Matrix
Tip revision: a1fcad47c64445334bd0c3d2fecb8c4e40aa0b44 authored by Martin Maechler on 08 December 2021, 20:10:02 UTC
version 1.4-0
version 1.4-0
Tip revision: a1fcad4
bind.Rout.save
R version 4.1.1 RC (2021-08-03 r80706) -- "Kick Things"
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> #### Testing cbind() & rbind() -- based on cbind2() & rbind2()
> ## (where using 'cBind()' and 'rBind()' in Matrix)
>
>
> library(Matrix)
>
> source(system.file("test-tools.R", package = "Matrix"))# identical3() etc
Loading required package: tools
>
> ### --- Dense Matrices ---
>
> m1 <- m2 <- m <- matrix(1:12, 3,4)
> dimnames(m2) <- list(LETTERS[1:3],
+ letters[1:4])
> dimnames(m1) <- list(NULL,letters[1:4])
> M <- Matrix(m)
> M1 <- Matrix(m1)
> M2 <- Matrix(m2)
>
> stopifnot(
+ identical3(cbind ( M, 10*M),
+ show(cbind2( M, 10*M)),
+ Matrix(cbind ( m, 10*m)))
+ ,
+ identical3(cbind (M1, 100+M1),
+ show(cbind2(M1, 100+M1)),
+ Matrix(cbind (m1, 100+m1)))
+ ,
+ identical3(cbind (M1, 10*M2),
+ show(cbind2(M1, 10*M2)),
+ Matrix(cbind (m1, 10*m2)))
+ ,
+ identical3(cbind (M2, M1+M2),
+ show(cbind2(M2, M1+M2)),
+ Matrix(cbind (m2, m1+m2)))
+ ,
+ identical(colnames(show(cbind(M1, MM = -1))),
+ c(colnames(M1), "MM"))
+ ,
+ identical3(rbind ( M, 10*M),
+ show(rbind2( M, 10*M)),
+ Matrix(rbind ( m, 10*m)))
+ ,
+ identical3(rbind (M2, M1+M2),
+ show(rbind2(M2, M1+M2)),
+ Matrix(rbind (m2, m1+m2)))
+ ,
+ Qidentical(show (rbind(R1 = 10:11, M1)),
+ Matrix(rbind(R1 = 10:11, m1)), strict=FALSE)
+ , TRUE)
3 x 8 Matrix of class "dgeMatrix"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 1 4 7 10 10 40 70 100
[2,] 2 5 8 11 20 50 80 110
[3,] 3 6 9 12 30 60 90 120
3 x 8 Matrix of class "dgeMatrix"
a b c d a b c d
[1,] 1 4 7 10 101 104 107 110
[2,] 2 5 8 11 102 105 108 111
[3,] 3 6 9 12 103 106 109 112
3 x 8 Matrix of class "dgeMatrix"
a b c d a b c d
A 1 4 7 10 10 40 70 100
B 2 5 8 11 20 50 80 110
C 3 6 9 12 30 60 90 120
3 x 8 Matrix of class "dgeMatrix"
a b c d a b c d
A 1 4 7 10 2 8 14 20
B 2 5 8 11 4 10 16 22
C 3 6 9 12 6 12 18 24
3 x 5 Matrix of class "dgeMatrix"
a b c d MM
[1,] 1 4 7 10 -1
[2,] 2 5 8 11 -1
[3,] 3 6 9 12 -1
6 x 4 Matrix of class "dgeMatrix"
[,1] [,2] [,3] [,4]
[1,] 1 4 7 10
[2,] 2 5 8 11
[3,] 3 6 9 12
[4,] 10 40 70 100
[5,] 20 50 80 110
[6,] 30 60 90 120
6 x 4 Matrix of class "dgeMatrix"
a b c d
A 1 4 7 10
B 2 5 8 11
C 3 6 9 12
2 8 14 20
4 10 16 22
6 12 18 24
4 x 4 Matrix of class "dgeMatrix"
a b c d
R1 10 11 10 11
1 4 7 10
2 5 8 11
3 6 9 12
>
> identical.or.eq <- function(x,y, tol=0, ...) {
+ if(identical(x,y, ...))
+ TRUE
+ else if(isTRUE(aeq <- all.equal(x,y, tolerance = tol)))
+ structure(TRUE, comment = "not identical")
+ else aeq
+ }
> identicalShow <- function(x,y, ...)
+ if(!isTRUE(id <- identical.or.eq(x, y, ...))) cat(id,"\n")
>
> ## Checking deparse.level { <==> example at end of ?cbind }:
> checkRN <- function(dd, B = rbind) {
+ FN <- function(deparse.level)
+ rownames(B(1:4, c=2,"a+"=10, dd, deparse.level=deparse.level))
+ rn <- c("1:4", "c", "a+", "dd", "")
+ isMatr <- (length(dim(dd)) == 2)
+ id <- if(isMatr) 5 else 4
+ identicalShow(rn[c(5,2:3, 5)], FN(deparse.level= 0)) # middle two names
+ identicalShow(rn[c(5,2:3,id)], FN(deparse.level= 1)) # last shown if vector
+ identicalShow(rn[c(1,2:3,id)], FN(deparse.level= 2)) # first shown; (last if vec.)
+ }
> checkRN(10) # <==> ?cbind's ex
> checkRN(1:4)
> checkRN( rbind(c(0:1,0,0)))
> checkRN(Matrix(rbind(c(0:1,0,0)))) ## in R <= 3.4.1, from methods:::rbind bug :
> ## Modes: character, NULL Lengths: 4, 0 target is character, current is NULL
> checkRN(10 , rbind)
> checkRN(1:4, rbind)
> checkRN( rbind(c(0:1,0,0)), rbind)
> checkRN(Matrix(rbind(c(0:1,0,0))), rbind)
>
> cbind(0, Matrix(0+0:1, 1,2), 3:2)# FIXME? should warn - as with matrix()
1 x 4 Matrix of class "dgeMatrix"
[,1] [,2] [,3] [,4]
[1,] 0 0 1 3
> as(rbind(0, Matrix(0+0:1, 1,2), 3:2),
+ "sparseMatrix")
3 x 2 sparse Matrix of class "dgCMatrix"
[1,] . .
[2,] . 1
[3,] 3 2
> cbind(M2, 10*M2[nrow(M2):1 ,])# keeps the rownames from the first
3 x 8 Matrix of class "dgeMatrix"
a b c d a b c d
A 1 4 7 10 30 60 90 120
B 2 5 8 11 20 50 80 110
C 3 6 9 12 10 40 70 100
>
> (im <- cbind(I = 100, M))
3 x 5 Matrix of class "dgeMatrix"
I
[1,] 100 1 4 7 10
[2,] 100 2 5 8 11
[3,] 100 3 6 9 12
> str(im)
Formal class 'dgeMatrix' [package "Matrix"] with 4 slots
..@ x : num [1:15] 100 100 100 1 2 3 4 5 6 7 ...
..@ Dim : int [1:2] 3 5
..@ Dimnames:List of 2
.. ..$ : NULL
.. ..$ : chr [1:5] "I" "" "" "" ...
..@ factors : list()
> (mi <- cbind(M2, I = 1000))
3 x 5 Matrix of class "dgeMatrix"
a b c d I
A 1 4 7 10 1000
B 2 5 8 11 1000
C 3 6 9 12 1000
> str(mi)
Formal class 'dgeMatrix' [package "Matrix"] with 4 slots
..@ x : num [1:15] 1 2 3 4 5 6 7 8 9 10 ...
..@ Dim : int [1:2] 3 5
..@ Dimnames:List of 2
.. ..$ : chr [1:3] "A" "B" "C"
.. ..$ : chr [1:5] "a" "b" "c" "d" ...
..@ factors : list()
> (m1m <- cbind(M,I=100,M2))
3 x 9 Matrix of class "dgeMatrix"
I a b c d
A 1 4 7 10 100 1 4 7 10
B 2 5 8 11 100 2 5 8 11
C 3 6 9 12 100 3 6 9 12
> showProc.time()
Time (user system elapsed): 0.085 0.002 0.088
>
> ## lgeMatrix -- rbind2() had bug (in C code):
> is.lge <- function(M) isValid(M, "lgeMatrix")
> stopifnot(exprs = {
+ is.lge(rbind(M2 > 0, M2 < 0)) # had Error in rbind2():
+ ## REAL() can only be applied to a 'numeric', not a 'logical'
+ is.lge(rbind(M2 < 0, M2 > 0)) # ditto
+ is.lge(rbind(Matrix(1:6 %% 3 != 0, 2,3), FALSE))
+ is.lge(L <- rbind(Matrix(TRUE, 2,3), TRUE))
+ all(L)
+ is.lge(rbind(Matrix(TRUE, 2,3), FALSE))
+ })
>
> ### --- Diagonal / Sparse - had bugs
>
> D4 <- Diagonal(4)
> (D4T <- as(D4, "TsparseMatrix"))
4 x 4 sparse Matrix of class "dtTMatrix" (unitriangular)
[1,] I . . .
[2,] . I . .
[3,] . . I .
[4,] . . . I
> D4C <- as(D4T, "CsparseMatrix")
> c1 <- Matrix(0+0:3, 4, sparse=TRUE) ; r1 <- t(c1); r1
1 x 4 sparse Matrix of class "dgCMatrix"
[1,] . 1 2 3
>
> d4 <- rbind(Diagonal(4), 0:3)
> m4 <- cbind(Diagonal(x=-1:2), 0:3)
> c4. <- cbind(Diagonal(4), c1)
> c.4 <- cbind(c1, Diagonal(4))
> r4. <- rbind(Diagonal(4), r1)
> r.4 <- rbind(r1, Diagonal(4))
> assert.EQ.mat(d4, rbind(diag(4), 0:3))
> assert.EQ.mat(m4, cbind(diag(-1:2), 0:3))
> stopifnot(identical(Matrix(cbind(diag(3),0)), cbind2(Diagonal(3),0)),
+ is(d4, "sparseMatrix"), is(m4, "sparseMatrix"),
+ identical(t(d4), cbind(Diagonal(4), 0:3)),
+ identical(t(m4), rbind(Diagonal(x=-1:2), 0:3)))
> showProc.time()
Time (user system elapsed): 0.043 0.005 0.048
>
> ### --- Sparse Matrices ---
>
> identical4(cbind(diag(4), diag(4)),
+ cbind(D4C, D4C),
+ cbind(D4T, D4C),
+ cbind(D4C, D4T))
[1] FALSE
> nr <- 4
> m. <- matrix(c(0, 2:-1), nr ,6)
Warning message:
In matrix(c(0, 2:-1), nr, 6) :
data length [5] is not a sub-multiple or multiple of the number of rows [4]
> M <- Matrix(m.)
> (mC <- as(M, "dgCMatrix"))
4 x 6 sparse Matrix of class "dgCMatrix"
[1,] . -1 . 1 2 .
[2,] 2 . -1 . 1 2
[3,] 1 2 . -1 . 1
[4,] . 1 2 . -1 .
> (mT <- as(M, "dgTMatrix"))
4 x 6 sparse Matrix of class "dgTMatrix"
[1,] . -1 . 1 2 .
[2,] 2 . -1 . 1 2
[3,] 1 2 . -1 . 1
[4,] . 1 2 . -1 .
> stopifnot(identical(mT, as(mC, "dgTMatrix")),
+ identical(mC, as(mT, "dgCMatrix")))
>
> for(v in list(0, 2, 1:0))
+ for(fnam in c("cbind", "rbind")) {
+ cat(fnam,"(m, v=", deparse(v),"), class(m) :")
+ FUN <- get(fnam)
+ for(m in list(M, mC, mT)) {
+ cat("", class(m),"")
+ assert.EQ.mat(FUN(v, m), FUN(v, m.)) ; cat(",")
+ assert.EQ.mat(FUN(m, v), FUN(m., v)) ; cat(".")
+ }
+ cat("\n")
+ }
cbind (m, v= 0 ), class(m) : dgeMatrix ,. dgCMatrix ,. dgTMatrix ,.
rbind (m, v= 0 ), class(m) : dgeMatrix ,. dgCMatrix ,. dgTMatrix ,.
cbind (m, v= 2 ), class(m) : dgeMatrix ,. dgCMatrix ,. dgTMatrix ,.
rbind (m, v= 2 ), class(m) : dgeMatrix ,. dgCMatrix ,. dgTMatrix ,.
cbind (m, v= 1:0 ), class(m) : dgeMatrix ,. dgCMatrix ,. dgTMatrix ,.
rbind (m, v= 1:0 ), class(m) : dgeMatrix ,. dgCMatrix ,. dgTMatrix ,.
> showProc.time()
Time (user system elapsed): 0.049 0.009 0.058
>
> cbind(0, mC); cbind(mC, 0)
4 x 7 sparse Matrix of class "dgCMatrix"
[1,] . . -1 . 1 2 .
[2,] . 2 . -1 . 1 2
[3,] . 1 2 . -1 . 1
[4,] . . 1 2 . -1 .
4 x 7 sparse Matrix of class "dgCMatrix"
[1,] . -1 . 1 2 . .
[2,] 2 . -1 . 1 2 .
[3,] 1 2 . -1 . 1 .
[4,] . 1 2 . -1 . .
> cbind(0, mT); cbind(mT, 2)
4 x 7 sparse Matrix of class "dgCMatrix"
[1,] . . -1 . 1 2 .
[2,] . 2 . -1 . 1 2
[3,] . 1 2 . -1 . 1
[4,] . . 1 2 . -1 .
4 x 7 sparse Matrix of class "dgCMatrix"
[1,] . -1 . 1 2 . 2
[2,] 2 . -1 . 1 2 2
[3,] 1 2 . -1 . 1 2
[4,] . 1 2 . -1 . 2
> cbind(diag(nr), mT)
4 x 10 sparse Matrix of class "dgCMatrix"
[1,] 1 . . . . -1 . 1 2 .
[2,] . 1 . . 2 . -1 . 1 2
[3,] . . 1 . 1 2 . -1 . 1
[4,] . . . 1 . 1 2 . -1 .
> stopifnot(identical(t(cbind(diag(nr), mT)),
+ rbind(diag(nr), t(mT))))
> (cc <- cbind(mC, 0,7,0, diag(nr), 0))
4 x 14 sparse Matrix of class "dgCMatrix"
[1,] . -1 . 1 2 . . 7 . 1 . . . .
[2,] 2 . -1 . 1 2 . 7 . . 1 . . .
[3,] 1 2 . -1 . 1 . 7 . . . 1 . .
[4,] . 1 2 . -1 . . 7 . . . . 1 .
> stopifnot(identical3(cc, cbind(mT, 0,7,0, diag(nr), 0),
+ as( cbind( M, 0,7,0, diag(nr), 0), "dgCMatrix")))
>
> cbind(mC, 1, 100*mC, 0, 0:2)
4 x 15 sparse Matrix of class "dgCMatrix"
[1,] . -1 . 1 2 . 1 . -100 . 100 200 . . .
[2,] 2 . -1 . 1 2 1 200 . -100 . 100 200 . 1
[3,] 1 2 . -1 . 1 1 100 200 . -100 . 100 . 2
[4,] . 1 2 . -1 . 1 . 100 200 . -100 . . .
> cbind(mT, 1, 0, mT+10*mT, 0, 0:2)
4 x 16 sparse Matrix of class "dgCMatrix"
[1,] . -1 . 1 2 . 1 . . -11 . 11 22 . . .
[2,] 2 . -1 . 1 2 1 . 22 . -11 . 11 22 . 1
[3,] 1 2 . -1 . 1 1 . 11 22 . -11 . 11 . 2
[4,] . 1 2 . -1 . 1 . . 11 22 . -11 . . .
> one <- 1
> zero <- 0
> dimnames(mC) <- dimnames(mT) <- list(LETTERS[1:4], letters[1:6])
> op <- options(sparse.colnames = TRUE)# show colnames in print :
> cbind(mC, one, 100*mC, zero, 0:2)
4 x 15 sparse Matrix of class "dgCMatrix"
a b c d e f one a b c d e f zero
A . -1 . 1 2 . 1 . -100 . 100 200 . . .
B 2 . -1 . 1 2 1 200 . -100 . 100 200 . 1
C 1 2 . -1 . 1 1 100 200 . -100 . 100 . 2
D . 1 2 . -1 . 1 . 100 200 . -100 . . .
> cbind(mC, one, 100*mC, zero, 0:2, deparse.level=0)# no "zero", "one"
4 x 15 sparse Matrix of class "dgCMatrix"
a b c d e f a b c d e f
A . -1 . 1 2 . 1 . -100 . 100 200 . . .
B 2 . -1 . 1 2 1 200 . -100 . 100 200 . 1
C 1 2 . -1 . 1 1 100 200 . -100 . 100 . 2
D . 1 2 . -1 . 1 . 100 200 . -100 . . .
> cbind(mC, one, 100*mC, zero, 0:2, deparse.level=2)# even "0:2"
4 x 15 sparse Matrix of class "dgCMatrix"
a b c d e f one a b c d e f zero 0:2
A . -1 . 1 2 . 1 . -100 . 100 200 . . .
B 2 . -1 . 1 2 1 200 . -100 . 100 200 . 1
C 1 2 . -1 . 1 1 100 200 . -100 . 100 . 2
D . 1 2 . -1 . 1 . 100 200 . -100 . . .
> cbind(mT, one, zero, mT+10*mT, zero, 0:2)
4 x 16 sparse Matrix of class "dgCMatrix"
a b c d e f one zero a b c d e f zero
A . -1 . 1 2 . 1 . . -11 . 11 22 . . .
B 2 . -1 . 1 2 1 . 22 . -11 . 11 22 . 1
C 1 2 . -1 . 1 1 . 11 22 . -11 . 11 . 2
D . 1 2 . -1 . 1 . . 11 22 . -11 . . .
>
>
> ## logical (sparse) - should remain logical :
> L5 <- Diagonal(n = 5, x = TRUE); v5 <- rep(x = c(FALSE,TRUE), length = ncol(L5))
> stopifnot(is(show(rbind(L5,v5)), "lsparseMatrix"),
+ is(show(cbind(v5,L5)), "lsparseMatrix"),
+ is(rbind(L5, 2* v5), "dsparseMatrix"),
+ is(cbind(2* v5, L5), "dsparseMatrix"))
6 x 5 sparse Matrix of class "lgCMatrix"
[,1] [,2] [,3] [,4] [,5]
| . . . .
. | . . .
. . | . .
. . . | .
. . . . |
v5 . | . | .
5 x 6 sparse Matrix of class "lgCMatrix"
v5
[1,] . | . . . .
[2,] | . | . . .
[3,] . . . | . .
[4,] | . . . | .
[5,] . . . . . |
>
> ## print() / show() of non-structural zeros:
> (m <- Matrix(c(0, 0, 2:0), 3, 5))
3 x 5 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5]
[1,] . 1 . . 2
[2,] . . 2 . 1
[3,] 2 . 1 . .
> (m2 <- cbind(m,m))
3 x 10 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] . 1 . . 2 . 1 . . 2
[2,] . . 2 . 1 . . 2 . 1
[3,] 2 . 1 . . 2 . 1 . .
> (m4 <- rbind(m2,m2))
6 x 10 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] . 1 . . 2 . 1 . . 2
[2,] . . 2 . 1 . . 2 . 1
[3,] 2 . 1 . . 2 . 1 . .
[4,] . 1 . . 2 . 1 . . 2
[5,] . . 2 . 1 . . 2 . 1
[6,] 2 . 1 . . 2 . 1 . .
> diag(m4)
[1] 0 0 1 0 1 2
> for(i in 1:6) {
+ m4[i, i ] <- i
+ m4[i,i+1] <- 0
+ }
> m4 ## now show some non-structural zeros:
6 x 10 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] 1 . . . 2 . 1 . . 2
[2,] . 2 . . 1 . . 2 . 1
[3,] 2 . 3 . . 2 . 1 . .
[4,] . 1 . 4 . . 1 . . 2
[5,] . . 2 . 5 . . 2 . 1
[6,] 2 . 1 . . 6 . 1 . .
>
> ## Mixture of dense and sparse/diagonal -- used to fail, even in 1.0-0
> D5 <- Diagonal(x = 10*(1:5))
> (D5.1 <- cbind2(D5, 1))
5 x 6 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 10 . . . . 1
[2,] . 20 . . . 1
[3,] . . 30 . . 1
[4,] . . . 40 . 1
[5,] . . . . 50 1
> ## "FIXME" in newer versions of R, do not need Matrix() here:
> s42 <- Matrix(z42 <- cbind2(rep(0:1,4), rep(1:0,4)),
+ sparse=TRUE)
> (C86 <- rbind(1, 0, D5.1, 0))
8 x 6 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 1 1 1 1 1 1
[2,] . . . . . .
[3,] 10 . . . . 1
[4,] . 20 . . . 1
[5,] . . 30 . . 1
[6,] . . . 40 . 1
[7,] . . . . 50 1
[8,] . . . . . .
> stopifnotValid(D5.1, "dgCMatrix")
> stopifnotValid(print(rbind2(Matrix(1:10, 2,5), D5)), "dgCMatrix")
7 x 5 sparse Matrix of class "dgCMatrix"
[,1] [,2] [,3] [,4] [,5]
[1,] 1 3 5 7 9
[2,] 2 4 6 8 10
[3,] 10 . . . .
[4,] . 20 . . .
[5,] . . 30 . .
[6,] . . . 40 .
[7,] . . . . 50
> stopifnotValid(print(cbind2(Matrix(10:1, 5,2), D5.1)), "dgeMatrix")
5 x 8 Matrix of class "dgeMatrix"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 10 5 10 0 0 0 0 1
[2,] 9 4 0 20 0 0 0 1
[3,] 8 3 0 0 30 0 0 1
[4,] 7 2 0 0 0 40 0 1
[5,] 6 1 0 0 0 0 50 1
> stopifnotValid(zz <- cbind2(z42, C86), "dgCMatrix")
> stopifnot(identical(zz, cbind2(s42, C86)))
>
> ## Using "nMatrix"
> (m1 <- sparseMatrix(1:3, 1:3)) # ngCMatrix
3 x 3 sparse Matrix of class "ngCMatrix"
[,1] [,2] [,3]
[1,] | . .
[2,] . | .
[3,] . . |
> m2 <- sparseMatrix(1:3, 1:3, x = 1:3)
> stopifnotValid(c12 <- cbind(m1,m2), "dgCMatrix") # was "ngC.." because of cholmod_horzcat !
> stopifnotValid(c21 <- cbind(m2,m1), "dgCMatrix") # ditto
> stopifnotValid(r12 <- rbind(m1,m2), "dgCMatrix") # was "ngC.." because of cholmod_vertcat !
> stopifnotValid(r21 <- rbind(m2,m1), "dgCMatrix") # ditto
> d1 <- as(m1, "denseMatrix")
> d2 <- as(m2, "denseMatrix")
> stopifnotValid(cbind2(d2,d1), "dgeMatrix")
> stopifnotValid(cbind2(d1,d2), "dgeMatrix")## gave an error in Matrix 1.1-5
> stopifnotValid(rbind2(d2,d1), "dgeMatrix")
> stopifnotValid(rbind2(d1,d2), "dgeMatrix")## gave an error in Matrix 1.1-5
>
> ## rbind2() / cbind2() mixing sparse/dense: used to "fail",
> ## ------------------- then (in 'devel', ~ 2015-03): completely wrong
> S <- .sparseDiagonal(2)
> s <- diag(2)
> S9 <- rbind(S,0,0,S,0,NaN,0,0,0,2)## r/cbind2() failed to determine 'sparse' in Matrix <= 1.2-2
> s9 <- rbind(s,0,0,s,0,NaN,0,0,0,2)
> assert.EQ.mat(S9, s9)
> D <- Matrix(1:6, 3,2); d <- as(D, "matrix")
> T9 <- t(S9); t9 <- t(s9); T <- t(D); t <- t(d)
> stopifnot(identical(rbind (s9,d), rbind2(s9,d)),
+ identical(rbind2(D,S9), t(cbind2(T,T9))),
+ identical(rbind2(S9,D), t(cbind2(T9,T))))
> assert.EQ.mat(rbind2(S9,D), rbind2(s9,d))
> assert.EQ.mat(rbind2(D,S9), rbind2(d,s9))
> ## now with cbind2() -- no problem!
> stopifnot(identical(cbind (t9,t), cbind2(t9,t)))
> assert.EQ.mat(cbind2(T9,T), cbind2(t9,t))
> assert.EQ.mat(cbind2(T,T9), cbind2(t,t9))
>
>
>
> options(op)
> showProc.time()
Time (user system elapsed): 0.142 0.01 0.152
>
> proc.time()
user system elapsed
0.866 0.113 1.030
