R Under development (unstable) (2023-04-23 r84305 ucrt) -- "Unsuffered Consequences"
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> 
>  library(rcdd)
If you want correct answers, use rational arithmetic.
See the Warnings sections in help pages for
    functions that do computational geometry.
> 
>  d <- 4
>  qux <- makeH(- diag(d), rep(0, d), rep(1, d), "1")
>  print(qux)
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,] "1"  "1"  "-1" "-1" "-1" "-1"
[2,] "0"  "0"  "1"  "0"  "0"  "0" 
[3,] "0"  "0"  "0"  "1"  "0"  "0" 
[4,] "0"  "0"  "0"  "0"  "1"  "0" 
[5,] "0"  "0"  "0"  "0"  "0"  "1" 
attr(,"representation")
[1] "H"
> 
>  out <- scdd(qux)
>  print(out)
$output
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,] "0"  "1"  "0"  "0"  "0"  "1" 
[2,] "0"  "1"  "0"  "0"  "1"  "0" 
[3,] "0"  "1"  "0"  "1"  "0"  "0" 
[4,] "0"  "1"  "1"  "0"  "0"  "0" 
attr(,"representation")
[1] "V"

> 
>  ##########################
> 
>  quux <- addHeq(1:d, z2q(d + 1, 2), qux)
>  print(quux)
     [,1] [,2]  [,3] [,4] [,5] [,6]
[1,] "1"  "1"   "-1" "-1" "-1" "-1"
[2,] "0"  "0"   "1"  "0"  "0"  "0" 
[3,] "0"  "0"   "0"  "1"  "0"  "0" 
[4,] "0"  "0"   "0"  "0"  "1"  "0" 
[5,] "0"  "0"   "0"  "0"  "0"  "1" 
[6,] "1"  "5/2" "-1" "-2" "-3" "-4"
attr(,"representation")
[1] "H"
> 
>  out <- scdd(quux)
>  print(out)
$output
     [,1] [,2] [,3]  [,4]  [,5]  [,6] 
[1,] "0"  "1"  "1/2" "0"   "0"   "1/2"
[2,] "0"  "1"  "1/4" "0"   "3/4" "0"  
[3,] "0"  "1"  "0"   "1/2" "1/2" "0"  
[4,] "0"  "1"  "0"   "3/4" "0"   "1/4"
attr(,"representation")
[1] "V"

> 
>  ##########################
> 
>  quux <- addHin(c(1, -1, 0, 0), 0, qux)
>  print(quux)
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,] "1"  "1"  "-1" "-1" "-1" "-1"
[2,] "0"  "0"  "1"  "0"  "0"  "0" 
[3,] "0"  "0"  "0"  "1"  "0"  "0" 
[4,] "0"  "0"  "0"  "0"  "1"  "0" 
[5,] "0"  "0"  "0"  "0"  "0"  "1" 
[6,] "0"  "0"  "-1" "1"  "0"  "0" 
attr(,"representation")
[1] "H"
> 
>  out <- scdd(quux)
>  print(out)
$output
     [,1] [,2] [,3]  [,4]  [,5] [,6]
[1,] "0"  "1"  "1/2" "1/2" "0"  "0" 
[2,] "0"  "1"  "0"   "1"   "0"  "0" 
[3,] "0"  "1"  "0"   "0"   "1"  "0" 
[4,] "0"  "1"  "0"   "0"   "0"  "1" 
attr(,"representation")
[1] "V"

> 
>  ##########################
> 
>  quux <- qux[- 4, ]
>  print(quux)
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,] "1"  "1"  "-1" "-1" "-1" "-1"
[2,] "0"  "0"  "1"  "0"  "0"  "0" 
[3,] "0"  "0"  "0"  "1"  "0"  "0" 
[4,] "0"  "0"  "0"  "0"  "0"  "1" 
> 
>  out <- scdd(quux)
>  print(out)
$output
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,] "0"  "0"  "1"  "0"  "-1" "0" 
[2,] "0"  "0"  "0"  "1"  "-1" "0" 
[3,] "0"  "1"  "0"  "0"  "1"  "0" 
[4,] "0"  "0"  "0"  "0"  "-1" "1" 
attr(,"representation")
[1] "V"

> 
> 
> proc.time()
   user  system elapsed 
   0.21    0.07    0.28