75 lines
4.7 KiB
HTML
75 lines
4.7 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 MOD, REM</TITLE>
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<A NAME="mod"><A NAME="rem"><I>Function</I> <B>MOD, REM</B></A></A> <P>
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<P><B>Syntax:</B><P>
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<P>
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<B>mod</B> <I>number divisor</I> => <I>modulus</I><P>
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<B>rem</B> <I>number divisor</I> => <I>remainder</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>---a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A>. <P>
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<I>divisor</I>---a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A>. <P>
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<I>modulus</I>, <I>remainder</I>---a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A>. <P>
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<P><B>Description:</B><P>
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<P>
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<A REL=DEFINITION HREF="#mod"><B>mod</B></A> and <A REL=DEFINITION HREF="#rem"><B>rem</B></A> are generalizations of the modulus and remainder functions respectively. <P>
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<A REL=DEFINITION HREF="#mod"><B>mod</B></A> performs the operation <A REL=DEFINITION HREF="f_floorc.htm#floor"><B>floor</B></A> on <I>number</I> and <I>divisor</I> and returns the remainder of the <A REL=DEFINITION HREF="f_floorc.htm#floor"><B>floor</B></A> operation. <P>
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<A REL=DEFINITION HREF="#rem"><B>rem</B></A> performs the operation <A REL=DEFINITION HREF="f_floorc.htm#truncate"><B>truncate</B></A> on <I>number</I> and <I>divisor</I> and returns the remainder of the <A REL=DEFINITION HREF="f_floorc.htm#truncate"><B>truncate</B></A> operation. <P>
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<A REL=DEFINITION HREF="#mod"><B>mod</B></A> and <A REL=DEFINITION HREF="#rem"><B>rem</B></A> are the modulus and remainder functions when <I>number</I> and <I>divisor</I> are <A REL=DEFINITION HREF="26_glo_i.htm#integer"><I>integers</I></A>. <P>
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<P><B>Examples:</B><P>
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<PRE>
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(rem -1 5) => -1
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(mod -1 5) => 4
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(mod 13 4) => 1
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(rem 13 4) => 1
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(mod -13 4) => 3
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(rem -13 4) => -1
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(mod 13 -4) => -3
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(rem 13 -4) => 1
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(mod -13 -4) => -1
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(rem -13 -4) => -1
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(mod 13.4 1) => 0.4
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(rem 13.4 1) => 0.4
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(mod -13.4 1) => 0.6
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(rem -13.4 1) => -0.4
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</PRE>
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</TT> <P>
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<P><B>Side Effects:</B> None.
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<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> None.
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<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#truncate"><B>truncate</B></A> <P>
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<P><B>Notes:</B><P>
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<P>
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The result of <A REL=DEFINITION HREF="#mod"><B>mod</B></A> is either zero or a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A> with the same sign as <I>divisor</I>. <P><HR>The following <A REL=META HREF="../Front/X3J13Iss.htm">X3J13 cleanup issue</A>, <I>not part of the specification</I>, applies to this section:<P><UL><LI> <A REL=CHILD HREF="../Issues/iss290.htm">REAL-NUMBER-TYPE:X3J13-MAR-89</A><P></UL><HR>
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