;;;; Combining rationals with floats.
;;; This example assumes an implementation in which
;;; (float-radix 0.5) is 2 (as in IEEE) or 16 (as in IBM/360),
;;; or else some other implementation in which 1/2 has an exact
;;; representation in floating point.
(+ 1/2 0.5) ⇒ 1.0
(- 1/2 0.5d0) ⇒ 0.0d0
(+ 0.5 -0.5 1/2) ⇒ 0.5
;;;; Comparing rationals with floats.
;;; This example assumes an implementation in which the default float
;;; format is IEEE single-float, IEEE double-float, or some other format
;;; in which 5/7 is rounded upwards by FLOAT.
(< 5/7 (float 5/7)) ⇒ true
(< 5/7 (rational (float 5/7))) ⇒ true
(< (float 5/7) (float 5/7)) ⇒ false