R Under development (unstable) (2023-12-13 r85679 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 <- 5
>  npoint <- 50
>  set.seed(42)
>  x <- matrix(rnorm(d * npoint), ncol = d)
> 
>  foo <- cbind(1, x)
>  foo <- cbind(0, foo)
>  foo <- round(1e4 * foo)
>  bar <- rep(1e4, length(foo))
>  baz <- qdq(foo, bar)
> 
>  baz[1:3, ]
     [,1] [,2] [,3]          [,4]          [,5]        [,6]        
[1,] "0"  "1"  "1371/1000"   "3219/10000"  "1201/1000" "-407/10000"
[2,] "0"  "1"  "-5647/10000" "-3919/5000"  "653/625"   "-3103/2000"
[3,] "0"  "1"  "3631/10000"  "15757/10000" "-627/625"  "1459/1250" 
     [,7]          
[1,] "-20009/10000"
[2,] "1669/5000"   
[3,] "11713/10000" 
>  
>  out <- scdd(baz, inputincidence = TRUE, representation = "V")
>  names(out)
[1] "output"         "inputincidence" "input"         
> 
>  length(out$inputincidence)
[1] 50
>  inies <- sapply(out$inputincidence, length) > 0
>  length(inies)
[1] 50
>  sum(inies)
[1] 42
> 
> 
> proc.time()
   user  system elapsed 
   0.56    0.03    0.59