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Operator overloading and class definition in R: Use a different base field/corpus
library(GLDEX)

as.f5 <- function(x){
  if(!inherits(x, "f5")) class(x) <- c("f5", class(x))
  x
}

is.f5 <- function(x){
  inherits(x, "f5")
}

`+.f5` <- function(e1, e2){
  NextMethod(e1, e2)
}

print.f5 <- function(x, ...){
  # Next line from ?GLDEX::digitsBase
  b2ch <- function(db) noquote(gsub("^0+(.{1,})$"," 1",
                           apply(db, 2, paste, collapse = "")))

  cat("Base 5:n")
  cat(b2ch(digitsBase(x, 5)))
  invisible(x)
}


x <- as.f5(0:10)
y <- as.f5(5)

x + y

Base 5:
10 11 12 13 14 20 21 22 23 24 30

?Ops
as.g5 <- function(x){
  if(!inherits(x, "g5")) class(x) <- c("g5", class(x))
  x %% 5
}

print.g5 <- function(x, ...){

  cat("G5 equivalent:n")
  cat(x %% 5)
  invisible(x)
}

`+.g5` <- function(e1, e2){
   NextMethod(e1 ,e2) %% 5
 }

 `*.g5` <- function(e1, e2){
   NextMethod(e1 ,e2) %% 5
 }
 x <- as.g5(0:10)
 y <- as.g5(5)

 x + y
#G5 equivalent:
#0 1 2 3 4 0 1 2 3 4 0
 y <- as.g5(2)
 x * y
#G5 equivalent:
#0 2 4 1 3 0 2 4 1 3 0

as.g5(1:10) * as.g5(1:10)
# G5 equivalent:
# 1 4 4 1 0 1 4 4 1 0