mod ( x y -- z )
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rem ( x y -- z )

Vocabulary
math

Inputs

x	a rational
y	a rational

Outputs

z	a rational

Word description
Computes the remainder of dividing x by y, with the remainder being negative if x is negative.

•	Modulus of fixnums always yields a fixnum.
•	Modulus of bignums always yields a bignum.
•	Modulus of rationals always yields a rational. In this case, the remainder is computed using the formula x - (x mod y) * y.

See also
Division by zero, rem

Definition

IN: math

MATH: mod ( x y -- z ) foldable flushable

Methods

USING: math math.private ;

M: bignum mod bignum-mod ; inline


USING: math math.private ;

M: fixnum mod fixnum-mod ; inline


USING: math math.libm ;

M: float mod fmod ; inline


USING: kernel math math.ratios.private ;

M: ratio mod scale+d [ mod ] [ / ] bi* ;