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/

/ Function

Syntax:

/ number → reciprocal

/ numerator &rest denominators+ → quotient

Arguments and Values:

number, denominator—a non-zero number .

numerator, quotient, reciprocal—a number .

Description:

The function / performs division or reciprocation.

If no denominators are supplied, the function / returns the reciprocal of number.

If at least one denominator is supplied, the function / divides the numerator by all of the denominators and returns the resulting quotient.

If each argument is either an integer or a ratio, and the result is not an integer , then it is a ratio.

The function / performs necessary type conversions.

If any argument is a float then the rules of floating-point contagion apply; see Section 12.1.4 (Floating-point Computations).

Examples:


(/ 12 4)3
(/ 13 4) → 13/4
(/ -8) → -1/8
(/ 3 4 5) → 3/20
(/ 0.5)2.0
(/ 20 5)4
(/ 5 20) → 1/4
(/ 60 -2 3 5.0)-2.0
(/ 2 #c(2 2)) → #C(1/2 -1/2)

Exceptional Situations:

The consequences are unspecified if any argument other than the first is zero. If there is only one argument, the consequences are unspecified if it is zero.

Might signal type-error if some argument is not a number . Might signal division-by-zero if division by zero is attempted. Might signal arithmetic-error.

See Also:

floor, ceiling, truncate, round

Expanded Reference: /

tip

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