71 lines
5.3 KiB
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71 lines
5.3 KiB
HTML
<!-- 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: Function /</TITLE>
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<H1><A REV=MADE HREF="http://www.lispworks.com/"><IMG WIDTH=80 HEIGHT=65 ALT="[LISPWORKS]" SRC="../Graphics/LWSmall.gif" ALIGN=Bottom></A><A REL=TOP HREF="../Front/index.htm"><IMG WIDTH=237 HEIGHT=65 ALT="[Common Lisp HyperSpec (TM)]" SRC="../Graphics/CLHS_Sm.gif" ALIGN=Bottom></A> <A REL=PREV HREF="f__.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Previous]" SRC="../Graphics/Prev.gif" ALIGN=Bottom></A><A REL=UP HREF="c_number.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Up]" SRC="../Graphics/Up.gif" ALIGN=Bottom></A><A REL=NEXT HREF="f_1pl_1_.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Next]" SRC="../Graphics/Next.gif" ALIGN=Bottom></A></H1>
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<A NAME="SL"><I>Function</I> <B>/</B></A> <P>
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<P><B>Syntax:</B><P>
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<P>
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<B>/</B> <I>number</I> => <I>reciprocal</I><P>
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<B>/</B> <I>numerator <TT>&rest</TT> denominators+</I> => <I>quotient</I><P>
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<P>
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<P><B>Arguments and Values:</B><P>
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<P>
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<I>number</I>, <I>denominator</I>---a non-zero <A REL=DEFINITION HREF="26_glo_n.htm#number"><I>number</I></A>. <P>
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<I>numerator</I>, <I>quotient</I>, <I>reciprocal</I>---a <A REL=DEFINITION HREF="26_glo_n.htm#number"><I>number</I></A>. <P>
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<P><B>Description:</B><P>
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<P>
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The <A REL=DEFINITION HREF="26_glo_f.htm#function"><I>function</I></A> <A REL=DEFINITION HREF="#SL"><B>/</B></A> performs division or reciprocation. <P>
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If no <I>denominators</I> are supplied, the <A REL=DEFINITION HREF="26_glo_f.htm#function"><I>function</I></A> <A REL=DEFINITION HREF="#SL"><B>/</B></A> returns the reciprocal of <I>number</I>. <P>
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If at least one <I>denominator</I> is supplied, the <A REL=DEFINITION HREF="26_glo_f.htm#function"><I>function</I></A> <A REL=DEFINITION HREF="#SL"><B>/</B></A> divides the <I>numerator</I> by all of the <I>denominators</I> and returns the resulting <I>quotient</I>. <P>
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If each <A REL=DEFINITION HREF="26_glo_a.htm#argument"><I>argument</I></A> is either an <A REL=DEFINITION HREF="26_glo_i.htm#integer"><I>integer</I></A> or a <A REL=DEFINITION HREF="26_glo_r.htm#ratio"><I>ratio</I></A>, and the result is not an <A REL=DEFINITION HREF="26_glo_i.htm#integer"><I>integer</I></A>, then it is a <A REL=DEFINITION HREF="26_glo_r.htm#ratio"><I>ratio</I></A>. <P>
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The <A REL=DEFINITION HREF="26_glo_f.htm#function"><I>function</I></A> <A REL=DEFINITION HREF="#SL"><B>/</B></A> performs necessary type conversions. <P>
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If any <I>argument</I> is a <A REL=DEFINITION HREF="26_glo_f.htm#float"><I>float</I></A> then the rules of floating-point contagion apply; see <A REL=CHILD HREF="12_ad.htm">Section 12.1.4 (Floating-point Computations)</A>. <P>
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<P><B>Examples:</B><P>
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<P>
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<PRE>
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(/ 12 4) => 3
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(/ 13 4) => 13/4
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(/ -8) => -1/8
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(/ 3 4 5) => 3/20
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(/ 0.5) => 2.0
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(/ 20 5) => 4
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(/ 5 20) => 1/4
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(/ 60 -2 3 5.0) => -2.0
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(/ 2 #c(2 2)) => #C(1/2 -1/2)
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</PRE>
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</TT> <P>
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<P><B>Affected By:</B> None.
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<P>
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<P><B>Exceptional Situations:</B><P>
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<P>
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The consequences are unspecified if any <A REL=DEFINITION HREF="26_glo_a.htm#argument"><I>argument</I></A> other than the first is zero. If there is only one <A REL=DEFINITION HREF="26_glo_a.htm#argument"><I>argument</I></A>, the consequences are unspecified if it is zero. <P>
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Might signal <A REL=DEFINITION HREF="e_tp_err.htm#type-error"><B>type-error</B></A> if some <A REL=DEFINITION HREF="26_glo_a.htm#argument"><I>argument</I></A> is not a <A REL=DEFINITION HREF="26_glo_n.htm#number"><I>number</I></A>. Might signal <A REL=DEFINITION HREF="e_divisi.htm#division-by-zero"><B>division-by-zero</B></A> if division by zero is attempted. Might signal <A REL=DEFINITION HREF="e_arithm.htm#arithmetic-error"><B>arithmetic-error</B></A>. <P>
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<P><B>See Also:</B><P>
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<P>
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<A REL=DEFINITION HREF="f_floorc.htm#floor"><B>floor</B></A>, <A REL=DEFINITION HREF="f_floorc.htm#ceiling"><B>ceiling</B></A>, <A REL=DEFINITION HREF="f_floorc.htm#truncate"><B>truncate</B></A>, <A REL=DEFINITION HREF="f_floorc.htm#round"><B>round</B></A> <P>
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<P><B>Notes:</B> None.
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