R : Copyright 2006, The R Foundation for Statistical Computing
Version 2.3.1 Patched (2006-07-13 r38676)
ISBN 3-900051-07-0

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> #### Testing  cbind() & rbind()
> 
> library(Matrix)
Loading required package: lattice
> 
> source(system.file("test-tools.R", package = "Matrix"))# identical3() etc
> 
> ### --- Dense Matrices ---
> 
> m1 <- m2 <- m <- Matrix(1:12, 3,4)
Warning message:
integer matrices not yet implemented in 'Matrix'; using 'double' ones' in: Matrix(1:12, 3, 4) 
> dimnames(m2) <- list(LETTERS[1:3],
+                      letters[1:4])
> dimnames(m1) <- list(NULL,letters[1:4])
> 
> stopifnot(identical(cbind ( m, 10*m) -> R,
+                     cbind2( m, 10*m))); R
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
> stopifnot(identical(cbind (m1,100+m1) -> R,
+                     cbind2(m1,100+m1))); R
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
> stopifnot(identical(cbind (m1, 10*m2) -> R,
+                     cbind2(m1, 10*m2))); R
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
> stopifnot(identical(cbind (m2, m1+m2) -> R,
+                     cbind2(m2, m1+m2))); R
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
> 
> 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
> 
> ### --- Sparse Matrices ---
> 
> m <- Matrix(c(0, 0, 2:0), 3, 5)
> (mC <- as(m, "dgCMatrix"))
3 x 5 sparse Matrix of class "dgCMatrix"
              
[1,] . 1 . . 2
[2,] . . 2 . 1
[3,] 2 . 1 . .
> (mT <- as(m, "dgTMatrix"))
3 x 5 sparse Matrix of class "dgTMatrix"
              
[1,] . 1 . . 2
[2,] . . 2 . 1
[3,] 2 . 1 . .
> stopifnot(identical(mT, as(mC, "dgTMatrix")))
> cbind(0, mC)
3 x 6 sparse Matrix of class "dgCMatrix"
                
[1,] . . 1 . . 2
[2,] . . . 2 . 1
[3,] . 2 . 1 . .
> cbind(0, mT)
3 x 6 sparse Matrix of class "dgCMatrix"
                
[1,] . . 1 . . 2
[2,] . . . 2 . 1
[3,] . 2 . 1 . .
> cbind(diag(3), mT)
3 x 8 sparse Matrix of class "dgCMatrix"
                    
[1,] 1 . . . 1 . . 2
[2,] . 1 . . . 2 . 1
[3,] . . 1 2 . 1 . .
> (cc <- cbind(mC, 0,7,0, diag(3), 0))
3 x 12 sparse Matrix of class "dgCMatrix"
                            
[1,] . 1 . . 2 . 7 . 1 . . .
[2,] . . 2 . 1 . 7 . . 1 . .
[3,] 2 . 1 . . . 7 . . . 1 .
> stopifnot(identical3(cc, cbind(mT, 0,7,0, diag(3), 0),
+                      as( cbind(m, 0,7,0, diag(3), 0), "dgCMatrix")))
> 
> cbind(mC, 1, 100*mC, 0, 0:2)
3 x 13 sparse Matrix of class "dgCMatrix"
                                      
[1,] . 1 . . 2 1 .   100 .   . 200 . .
[2,] . . 2 . 1 1 .   .   200 . 100 . 1
[3,] 2 . 1 . . 1 200 .   100 . .   . 2
> cbind(mT, 1, 0, mT+10*mT, 0, 0:2)
3 x 14 sparse Matrix of class "dgCMatrix"
                                    
[1,] . 1 . . 2 1 . .  11 .  . 22 . .
[2,] . . 2 . 1 1 . .  .  22 . 11 . 1
[3,] 2 . 1 . . 1 . 22 .  11 . .  . 2
> 
> ## print() / show() of  non-structural zeros:
> (m <- Matrix(c(0, 0, 2:0), 3, 5))
3 x 5 sparse Matrix of class "dgCMatrix"
              
[1,] . 1 . . 2
[2,] . . 2 . 1
[3,] 2 . 1 . .
> (m2 <- cbind(m,m))
3 x 10 sparse Matrix of class "dgCMatrix"
                        
[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,] . 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,] 1 0 . . 2 . 1 . . 2
[2,] . 2 0 . 1 . . 2 . 1
[3,] 2 . 3 . . 2 . 1 . .
[4,] . 1 . 4 0 . 1 . . 2
[5,] . . 2 . 5 . . 2 . 1
[6,] 2 . 1 . . 6 . 1 . .
> 
> 
> cat('Time elapsed: ', proc.time(),'\n') # for ``statistical reasons''
Time elapsed:  10.76 0.18 11.43 0 0 
>