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.
> 
>  foo <- z2q(c(1:5), c(6:10))
> 
>  bar <- z2q(c(0:4), c(11:15))
> 
>  print(foo)
[1] "1/6" "2/7" "3/8" "4/9" "1/2"
> 
>  print(bar)
[1] "0"    "1/12" "2/13" "3/14" "4/15"
> 
>  ##### addition #####
> 
>  .Call(rcdd:::C_qoq, foo, bar, as.integer(1))
[1] "1/6"    "31/84"  "55/104" "83/126" "23/30" 
> 
>  qpq(foo, bar)
[1] "1/6"    "31/84"  "55/104" "83/126" "23/30" 
> 
>  ##### subtraction #####
> 
>  .Call(rcdd:::C_qoq, foo, bar, as.integer(2))
[1] "1/6"    "17/84"  "23/104" "29/126" "7/30"  
> 
>  qmq(foo, bar)
[1] "1/6"    "17/84"  "23/104" "29/126" "7/30"  
> 
>  ##### multiplication #####
> 
>  .Call(rcdd:::C_qoq, foo, bar, as.integer(3))
[1] "0"    "1/42" "3/52" "2/21" "2/15"
> 
>  qxq(foo, bar)
[1] "0"    "1/42" "3/52" "2/21" "2/15"
> 
>  ##### division #####
> 
>  .Call(rcdd:::C_qoq, bar, foo, as.integer(4))
[1] "0"     "7/24"  "16/39" "27/56" "8/15" 
> 
>  qdq(bar, foo)
[1] "0"     "7/24"  "16/39" "27/56" "8/15" 
> 
>  options(error=dump.frames)
> 
>  .Call(rcdd:::C_qoq, foo, bar, as.integer(4))
Error: rational divide by zero
> 
>  qdq(foo, bar)
Error in qdq(foo, bar) : rational divide by zero
> 
> 
> proc.time()
   user  system elapsed 
   0.10    0.04    0.15