Residue

R←X|Y

Y may be any numeric array. X may be any numeric array.

For positive arguments, R is the remainder when Y is divided by X. If X=0, R is Y.

For other argument values, R is given by the expression Y-X×⌊Y÷X+0=X. This expression also applies when X and/or Y are complex if the simple ⌊ is replaced by the CpxFloor function. See Complex Floor.

⎕CT and ⎕DCT are implicit arguments of Residue.

Examples

      3 3 ¯3 ¯3|¯5 5 ¯4 4
1 2 ¯1 ¯2
 
      0.5|3.12 ¯1 ¯0.6
0.12 0 0.4
 
      ¯1 0 1|¯5.25 0 2.41
¯0.25 0 0.41
 
      1j2|2j3 3j4 5j6
1J1 ¯1J1 0J1

Note that the ASCII Broken Bar (⎕UCS 166, U+00A6) is not interpreted as Residue.