I am trying to join data.table x to z using a non-equi join. Table x contains two columns X1 and X2 that are used as the range to use for joining with column Z1 in z. The current code successfully does the non-equi join however certain columns are removed or renamed. I would like to return the 'ideal' data.table supplied, instead of the one I currently have which I would have to rename columns or join data further to get the 'ideal' data supplied.
> library(data.table)
> 
> x <- data.table(Id  = c("A", "B", "C", "C"),
+                 X1  = c(1L, 3L, 5L, 7L),
+                 X2 = c(8L,12L,9L,18L),
+                 XY  = c("x2", "x4", "x6", "x8"))
> 
> z <- data.table(ID = "C", Z1 = 5:9, Z2 = paste0("z", 5:9))
> 
> x
   Id X1 X2 XY
1:  A  1  8 x2
2:  B  3 12 x4
3:  C  5  9 x6
4:  C  7 18 x8
> z
   ID Z1 Z2
1:  C  5 z5
2:  C  6 z6
3:  C  7 z7
4:  C  8 z8
5:  C  9 z9
> 
> # suboptimal data return data format
> x[z, on = .(Id == ID, X1 <= Z1, X2 >= Z1)]
   Id X1 X2 XY Z2
1:  C  5  5 x6 z5
2:  C  6  6 x6 z6
3:  C  7  7 x6 z7
4:  C  7  7 x8 z7
5:  C  8  8 x6 z8
6:  C  8  8 x8 z8
7:  C  9  9 x6 z9
8:  C  9  9 x8 z9
> 
> # column names are Id, X1 and X2 from x which replaces ID and Z1. The contents of X1 and X2 are also changed to the original values of Z1.
> # XY and Z2 remain unchanged.
> 
> # I want to create the following table where the original column names and values are retained, while still joining the table in a non-equi way.
> 
> ideal <- data.table(ID = c("C", "C", "C", "C", "C", "C", "C", "C"),
+                     Z1 = c(5, 6, 7, 7, 8, 8, 9, 9),
+                     Z2 = c("Z5", "z6", "z7", "z7", "z8", "z8", "z9", "z9"),
+                     X1 = c(5, 5, 5, 7, 5, 7, 5, 7),
+                     X2 = c(9, 9, 9, 18, 9, 18, 9, 18),
+                     XY = c("x6", "x6", "x6", "x8", "x6", "x8", "x6", "x8"))
> 
> print(ideal)
   ID Z1 Z2 X1 X2 XY
1:  C  5 Z5  5  9 x6
2:  C  6 z6  5  9 x6
3:  C  7 z7  5  9 x6
4:  C  7 z7  7 18 x8
5:  C  8 z8  5  9 x6
6:  C  8 z8  7 18 x8
7:  C  9 z9  5  9 x6
8:  C  9 z9  7 18 x8