Here is the situation, I have a vector 0:4 which I use log1p to transform and transform back using exp(x) - 1. I have categorized the original vector 0:4 and the back-transformed vector using the same criteria but the results differ for Windows and Linux.
Following is a minimal example, I have prepared,

vec_original <- 0:4
log_vec <- log1p(vec_original)
vec_bktrans <- exp(log_vec) - 1
cat_original <- cut(vec_original, c(0, 1, 2, 4, Inf), include.lowest = TRUE)
cat_bktrans <- cut(vec_bktrans, c(0, 1, 2, 4, Inf), include.lowest = TRUE)

data.frame(
  original = format(vec_original, digits = 20),
  bk_trans = format(vec_bktrans, digits = 20),
  cat_original = cat_original,
  cat_bktrans = cat_bktrans
)

When running the same code in Linux, I get the following output (see line number 3),

  original              bk_trans cat_original cat_bktrans
1        0 0.0000000000000000000        [0,1]       [0,1]
2        1 1.0000000000000000000        [0,1]       [0,1]
3        2 1.9999999999999995559        (1,2]       (1,2]
4        3 3.0000000000000000000        (2,4]       (2,4]
5        4 3.9999999999999991118        (2,4]       (2,4]

In Windows, I get the following results (see line number 3),

  original              bk_trans cat_original cat_bktrans
1        0 0.0000000000000000000        [0,1]       [0,1]
2        1 1.0000000000000000000        [0,1]       [0,1]
3        2 2.0000000000000004441        (1,2]       (2,4]
4        3 3.0000000000000000000        (2,4]       (2,4]
5        4 3.9999999999999991118        (2,4]       (2,4]

Can anyone please explain what is the cause of this?