►Reference: Racket
►3 Datatypes
▼3.2 Numbers
3.2.1 Number Types
3.2.2 Generic Numerics
3.2.3 Flonums
3.2.4 Fixnums
On this page:
number?
complex?
real?
rational?
integer?
exact-integer?
exact-nonnegative-integer?
exact-positive-integer?
inexact-real?
fixnum?
flonum?
zero?
positive?
negative?
even?
odd?
exact?
inexact?
inexact->exact
exact->inexact
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3.2.1 Number Types

(number? v) → boolean?
  v : any/c
Returns #t if v is a number, #f otherwise.

Examples:

  > (number? 1)

  #t

  > (number? 2+3i)

  #t

  > (number? "hello")

  #f

(complex? v) → boolean?
  v : any/c
Returns (number? v), because all numbers are complex numbers.

(real? v) → boolean?
  v : any/c
Returns #t if v is a real number, #f otherwise.

Examples:

  > (real? 1)

  #t

  > (real? +inf.0)

  #t

  > (real? 2+3i)

  #f

  > (real? 2.0+0.0i)

  #f

  > (real? "hello")

  #f

(rational? v) → boolean?
  v : any/c
Returns #t if v is a rational number, #f otherwise.

Examples:

  > (rational? 1)

  #t

  > (rational? +inf.0)

  #f

  > (rational? "hello")

  #f

(integer? v) → boolean?
  v : any/c
Returns #t if v is a number that is an integer, #f otherwise.

Examples:

  > (integer? 1)

  #t

  > (integer? 2.3)

  #f

  > (integer? 4.0)

  #t

  > (integer? +inf.0)

  #f

  > (integer? 2+3i)

  #f

  > (integer? "hello")

  #f

(exact-integer? v) → boolean?
  v : any/c
Returns (and (integer? v) (exact? v)).

Examples:

  > (exact-integer? 1)

  #t

  > (exact-integer? 4.0)

  #f

(exact-nonnegative-integer? v) → boolean?
  v : any/c
Returns (and (exact-integer? v) (not (negative? v))).

Examples:

  > (exact-nonnegative-integer? 0)

  #t

  > (exact-nonnegative-integer? -1)

  #f

(exact-positive-integer? v) → boolean?
  v : any/c
Returns (and (exact-integer? v) (positive? v)).

Examples:

  > (exact-positive-integer? 1)

  #t

  > (exact-positive-integer? 0)

  #f

(inexact-real? v) → boolean?
  v : any/c
Returns (and (real? v) (inexact? v)).

(fixnum? v) → boolean?
  v : any/c
Return #t if v is a fixnum, #f otherwise.

Note: the result of this function is platform-dependent, so using it in syntax transformers can lead to platform-dependent bytecode files.

(flonum? v) → boolean?
  v : any/c
Return #t if v is a flonum, #f otherwise.

(zero? z) → boolean?
  z : number?
Returns (= 0 z).

Examples:

  > (zero? 0)

  #t

  > (zero? -0.0)

  #t

(positive? x) → boolean?
  x : real?
Returns (> x 0).

Examples:

  > (positive? 10)

  #t

  > (positive? -10)

  #f

  > (positive? 0.0)

  #f

(negative? x) → boolean?
  x : real?
Returns (< x 0).

Examples:

  > (negative? 10)

  #f

  > (negative? -10)

  #t

  > (negative? -0.0)

  #f

(even? n) → boolean?
  n : integer?
Returns (zero? (modulo n 2)).

Examples:

  > (even? 10.0)

  #t

  > (even? 11)

  #f

  > (even? +inf.0)

  even?: expects argument of type <integer>; given +inf.0

(odd? n) → boolean?
  n : integer?
Returns (not (even? n)).

Examples:

  > (odd? 10.0)

  #f

  > (odd? 11)

  #t

  > (odd? +inf.0)

  odd?: expects argument of type <integer>; given +inf.0

(exact? z) → boolean?
  z : number?
Returns #t if z is an exact number, #f otherwise.

Examples:

  > (exact? 1)

  #t

  > (exact? 1.0)

  #f

(inexact? z) → boolean?
  z : number?
Returns #t if z is an inexact number, #f otherwise.

Examples:

  > (inexact? 1)

  #f

  > (inexact? 1.0)

  #t

(inexact->exact z) → exact?
  z : number?
Coerces z to an exact number. If z is already exact, it is returned. If z is +inf.0, -inf.0, or +nan.0, then the exn:fail:contract exception is raised.

Examples:

  > (inexact->exact 1)

  1

  > (inexact->exact 1.0)

  1

(exact->inexact z) → inexact?
  z : number?
Coerces z to an inexact number. If z is already inexact, it is returned.

Examples:

  > (exact->inexact 1)

  1.0

  > (exact->inexact 1.0)

  1.0

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