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<!-- Common Lisp HyperSpec (TM), version 7.0 generated by Kent M. Pitman on Mon, 11-Apr-2005 2:31am EDT -->
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<TITLE>CLHS: Section 12.1.4.1.1</TITLE>
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<H2>
12.1.4.1.1 Examples of Rule of Float and Rational Contagion</H2> <P>
<PRE>
;;;; 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) =&gt; 1.0
(- 1/2 0.5d0) =&gt; 0.0d0
(+ 0.5 -0.5 1/2) =&gt; 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.
(&lt; 5/7 (float 5/7)) =&gt; <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>
(&lt; 5/7 (rational (float 5/7))) =&gt; <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>
(&lt; (float 5/7) (float 5/7)) =&gt; <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>
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