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.
> 
>  hrep <- rbind(c(0, 1,  1,  1, -1),
+                c(0, 1,  1, -1, -1),
+                c(0, 1, -1, -1, -1),
+                c(0, 1, -1,  1, -1),
+                c(0, 0,  0,  0,  1))
> 
>  qout <- allfaces(d2q(hrep))
>  print(qout)
$dimension
$dimension[[1]]
[1] 2

$dimension[[2]]
[1] 1

$dimension[[3]]
[1] 2

$dimension[[4]]
[1] 1

$dimension[[5]]
[1] 0

$dimension[[6]]
[1] 1

$dimension[[7]]
[1] 2

$dimension[[8]]
[1] 1

$dimension[[9]]
[1] 0

$dimension[[10]]
[1] 1

$dimension[[11]]
[1] 2

$dimension[[12]]
[1] 1

$dimension[[13]]
[1] 0

$dimension[[14]]
[1] 1

$dimension[[15]]
[1] 0

$dimension[[16]]
[1] 0

$dimension[[17]]
[1] 1

$dimension[[18]]
[1] 2

$dimension[[19]]
[1] 3


$active.set
$active.set[[1]]
[1] 5

$active.set[[2]]
[1] 4 5

$active.set[[3]]
[1] 4

$active.set[[4]]
[1] 3 5

$active.set[[5]]
[1] 3 4 5

$active.set[[6]]
[1] 3 4

$active.set[[7]]
[1] 3

$active.set[[8]]
[1] 2 5

$active.set[[9]]
[1] 2 3 5

$active.set[[10]]
[1] 2 3

$active.set[[11]]
[1] 2

$active.set[[12]]
[1] 1 5

$active.set[[13]]
[1] 1 4 5

$active.set[[14]]
[1] 1 4

$active.set[[15]]
[1] 1 2 5

$active.set[[16]]
[1] 1 2 3 4

$active.set[[17]]
[1] 1 2

$active.set[[18]]
[1] 1

$active.set[[19]]
integer(0)


$relative.interior.point
$relative.interior.point[[1]]
[1] "0" "0" "0"

$relative.interior.point[[2]]
[1] "1/2"  "-1/2" "0"   

$relative.interior.point[[3]]
[1] "1/4"  "-1/4" "1/2" 

$relative.interior.point[[4]]
[1] "1/2" "1/2" "0"  

$relative.interior.point[[5]]
[1] "1" "0" "0"

$relative.interior.point[[6]]
[1] "1/3" "0"   "2/3"

$relative.interior.point[[7]]
[1] "1/4" "1/4" "1/2"

$relative.interior.point[[8]]
[1] "-1/2" "1/2"  "0"   

$relative.interior.point[[9]]
[1] "0" "1" "0"

$relative.interior.point[[10]]
[1] "0"   "1/3" "2/3"

$relative.interior.point[[11]]
[1] "-1/4" "1/4"  "1/2" 

$relative.interior.point[[12]]
[1] "-1/2" "-1/2" "0"   

$relative.interior.point[[13]]
[1] "0"  "-1" "0" 

$relative.interior.point[[14]]
[1] "0"    "-1/3" "2/3" 

$relative.interior.point[[15]]
[1] "-1" "0"  "0" 

$relative.interior.point[[16]]
[1] "0" "0" "1"

$relative.interior.point[[17]]
[1] "-1/3" "0"    "2/3" 

$relative.interior.point[[18]]
[1] "-1/4" "-1/4" "1/2" 

$relative.interior.point[[19]]
[1] "0"   "0"   "1/2"


> 
>  dout <- allfaces(hrep)
> 
>  identical(qout$dimension, dout$dimension)
[1] TRUE
>  identical(qout$active.set, dout$active.set)
[1] TRUE
>  all.equal(lapply(qout$relative.interior.point, FUN = q2d),
+      dout$relative.interior.point)
[1] TRUE
> 
> 
> proc.time()
   user  system elapsed 
   0.18    0.10    0.28