mod

Mod

x!y

The mod, modulo, remainder or residue function, denoted by !, is used for modulo in K.

Up until the K4 dialect, the modulo verb had the following characteristics:

• x is the dividend and y is the divisor.
• left atomic on account of the rotate overload.

From K5 onward, the modulo primitive is flipped and right atomic.

  3!12
0

  3!11
2

  5!15
0

  3!1 2 3 4 5 6 7 8 9 10 11 12
1 2 0 1 2 0 1 2 0 1 2 0