CLCS
Function

mod, rem

mod number divisormodulus

rem number divisorremainder

Arguments and Values

numbera real.
divisora real.
modulus, remaindera real.

Description

mod and rem are generalizations of the modulus and remainder functions respectively.

mod performs the operation floor on number and divisor and returns the remainder of the floor operation.

rem performs the operation truncate on number and divisor and returns the remainder of the truncate operation.

mod and rem are the modulus and remainder functions when number and divisor are integers.

Examples

 (rem -1 5) ⇒  -1
 (mod -1 5) ⇒  4
 (mod 13 4) ⇒  1
 (rem 13 4) ⇒  1
 (mod -13 4) ⇒  3
 (rem -13 4) ⇒  -1
 (mod 13 -4) ⇒  -3
 (rem 13 -4) ⇒  1
 (mod -13 -4) ⇒  -1
 (rem -13 -4) ⇒  -1
 (mod 13.4 1) ⇒  0.4
 (rem 13.4 1) ⇒  0.4
 (mod -13.4 1) ⇒  0.6
 (rem -13.4 1) ⇒  -0.4

Notes

The result of mod is either zero or a

real

with the same sign as divisor.