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103 lines
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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: 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="t_bignum.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_max_m.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Next]" SRC="../Graphics/Next.gif" ALIGN=Bottom></A></H1>
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<A NAME="EQ"><A NAME="SLEQ"><A NAME="LT"><A NAME="GT"><A NAME="LTEQ"><A NAME="GTEQ"><I>Function</I> <B>=, /=, <, >, <=, >=</B></A></A></A></A></A></A> <P>
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<P><B>Syntax:</B><P>
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<P>
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<B>=</B> <I><TT>&rest</TT> numbers+</I> => <I>generalized-boolean</I><P>
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<B>/=</B> <I><TT>&rest</TT> numbers+</I> => <I>generalized-boolean</I><P>
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<B><</B> <I><TT>&rest</TT> numbers+</I> => <I>generalized-boolean</I><P>
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<B>></B> <I><TT>&rest</TT> numbers+</I> => <I>generalized-boolean</I><P>
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<B><=</B> <I><TT>&rest</TT> numbers+</I> => <I>generalized-boolean</I><P>
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<B>>=</B> <I><TT>&rest</TT> numbers+</I> => <I>generalized-boolean</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>---for <A REL=DEFINITION HREF="#LT"><B><</B></A>, <A REL=DEFINITION HREF="#GT"><B>></B></A>, <A REL=DEFINITION HREF="#LTEQ"><B><=</B></A>, <A REL=DEFINITION HREF="#GTEQ"><B>>=</B></A>: a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A>; for <A REL=DEFINITION HREF="#EQ"><B>=</B></A>, <A REL=DEFINITION HREF="#SLEQ"><B>/=</B></A>: a <A REL=DEFINITION HREF="26_glo_n.htm#number"><I>number</I></A>. <P>
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<I>generalized-boolean</I>---a <A REL=DEFINITION HREF="26_glo_g.htm#generalized_boolean"><I>generalized boolean</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="#EQ"><B>=</B></A>, <A REL=DEFINITION HREF="#SLEQ"><B>/=</B></A>, <A REL=DEFINITION HREF="#LT"><B><</B></A>, <A REL=DEFINITION HREF="#GT"><B>></B></A>, <A REL=DEFINITION HREF="#LTEQ"><B><=</B></A>, and <A REL=DEFINITION HREF="#GTEQ"><B>>=</B></A> perform arithmetic comparisons on their arguments as follows: <P>
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<P><DL><DT><A REL=DEFINITION HREF="#EQ"><B>=</B></A> <P><DD>
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The value of <A REL=DEFINITION HREF="#EQ"><B>=</B></A> is <A REL=DEFINITION HREF="26_glo_t.htm#true"><I>true</I></A> if all <I>numbers</I> are the same in value; otherwise it is <A REL=DEFINITION HREF="26_glo_f.htm#false"><I>false</I></A>. Two <A REL=DEFINITION HREF="26_glo_c.htm#complex"><I>complexes</I></A> are considered equal by <A REL=DEFINITION HREF="#EQ"><B>=</B></A> if their real and imaginary parts are equal according to <A REL=DEFINITION HREF="#EQ"><B>=</B></A>. <P>
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<DT><A REL=DEFINITION HREF="#SLEQ"><B>/=</B></A> <P><DD>
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The value of <A REL=DEFINITION HREF="#SLEQ"><B>/=</B></A> is <A REL=DEFINITION HREF="26_glo_t.htm#true"><I>true</I></A> if no two <I>numbers</I> are the same in value; otherwise it is <A REL=DEFINITION HREF="26_glo_f.htm#false"><I>false</I></A>. <P>
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<DT><A REL=DEFINITION HREF="#LT"><B><</B></A> <P><DD>
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The value of <A REL=DEFINITION HREF="#LT"><B><</B></A> is <A REL=DEFINITION HREF="26_glo_t.htm#true"><I>true</I></A> if the <I>numbers</I> are in monotonically increasing order; otherwise it is <A REL=DEFINITION HREF="26_glo_f.htm#false"><I>false</I></A>. <P>
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<DT><A REL=DEFINITION HREF="#GT"><B>></B></A> <P><DD>
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The value of <A REL=DEFINITION HREF="#GT"><B>></B></A> is <A REL=DEFINITION HREF="26_glo_t.htm#true"><I>true</I></A> if the <I>numbers</I> are in monotonically decreasing order; otherwise it is <A REL=DEFINITION HREF="26_glo_f.htm#false"><I>false</I></A>. <P>
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<DT><A REL=DEFINITION HREF="#LTEQ"><B><=</B></A> <P><DD>
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The value of <A REL=DEFINITION HREF="#LTEQ"><B><=</B></A> is <A REL=DEFINITION HREF="26_glo_t.htm#true"><I>true</I></A> if the <I>numbers</I> are in monotonically nondecreasing order; otherwise it is <A REL=DEFINITION HREF="26_glo_f.htm#false"><I>false</I></A>. <P>
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<DT><A REL=DEFINITION HREF="#GTEQ"><B>>=</B></A> <P><DD>
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The value of <A REL=DEFINITION HREF="#GTEQ"><B>>=</B></A> is <A REL=DEFINITION HREF="26_glo_t.htm#true"><I>true</I></A> if the <I>numbers</I> are in monotonically nonincreasing order; otherwise it is <A REL=DEFINITION HREF="26_glo_f.htm#false"><I>false</I></A>. <P></DL><P>
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<A REL=DEFINITION HREF="#EQ"><B>=</B></A>, <A REL=DEFINITION HREF="#SLEQ"><B>/=</B></A>, <A REL=DEFINITION HREF="#LT"><B><</B></A>, <A REL=DEFINITION HREF="#GT"><B>></B></A>, <A REL=DEFINITION HREF="#LTEQ"><B><=</B></A>, and <A REL=DEFINITION HREF="#GTEQ"><B>>=</B></A> perform necessary type conversions. <P>
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<P><B>Examples:</B><P>
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<P>
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The uses of these functions are illustrated in the next figure. <P>
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<PRE>
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(= 3 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (/= 3 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>.
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(= 3 5) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (/= 3 5) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(= 3 3 3 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (/= 3 3 3 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>.
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(= 3 3 5 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (/= 3 3 5 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>.
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(= 3 6 5 2) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (/= 3 6 5 2) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(= 3 2 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (/= 3 2 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>.
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(< 3 5) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (<= 3 5) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(< 3 -5) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (<= 3 -5) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>.
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(< 3 3) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (<= 3 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(< 0 3 4 6 7) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (<= 0 3 4 6 7) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(< 0 3 4 4 6) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (<= 0 3 4 4 6) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(> 4 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (>= 4 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(> 4 3 2 1 0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (>= 4 3 2 1 0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(> 4 3 3 2 0) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (>= 4 3 3 2 0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(> 4 3 1 2 0) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (>= 4 3 1 2 0) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>.
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(= 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (/= 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(< 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (<= 3) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(= 3.0 #c(3.0 0.0)) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (/= 3.0 #c(3.0 1.0)) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(= 3 3.0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (= 3.0s0 3.0d0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(= 0.0 -0.0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>. (= 5/2 2.5) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(> 0.0 -0.0) is <A REL=DEFINITION HREF="26_glo_f.htm#false">false</A>. (= 0 -0.0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A>.
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(<= 0 x 9) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A> if x is between 0 and 9, inclusive
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(< 0.0 x 1.0) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A> if x is between 0.0 and 1.0, exclusive
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(< -1 j (length v)) is <A REL=DEFINITION HREF="26_glo_t.htm#true">true</A> if j is a <A REL=DEFINITION HREF="26_glo_v.htm#valid_array_index">valid array index</A> for a <A REL=DEFINITION HREF="26_glo_v.htm#vector">vector</A> v
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</PRE>
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<P><B>Figure 12-13. Uses of /=, =, <, >, <=, and >=</B> <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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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="t_real.htm#real"><I>real</I></A>. Might signal <A REL=DEFINITION HREF="e_arithm.htm#arithmetic-error"><B>arithmetic-error</B></A> if otherwise unable to fulfill its contract. <P>
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<P><B>See Also:</B> None.
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<P>
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<P><B>Notes:</B><P>
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<P>
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<A REL=DEFINITION HREF="#EQ"><B>=</B></A> differs from <A REL=DEFINITION HREF="f_eql.htm#eql"><B>eql</B></A> in that <TT>(= 0.0 -0.0)</TT> is always true, because <A REL=DEFINITION HREF="#EQ"><B>=</B></A> compares the mathematical values of its operands, whereas <A REL=DEFINITION HREF="f_eql.htm#eql"><B>eql</B></A> compares the representational values, so to speak. <P>
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<A REL=NAVIGATOR HREF="../Front/StartPts.htm"><IMG WIDTH=80 HEIGHT=40 ALT="[Starting Points]" SRC="../Graphics/StartPts.gif" ALIGN=Bottom></A><A REL=TOC HREF="../Front/Contents.htm"><IMG WIDTH=80 HEIGHT=40 ALT="[Contents]" SRC="../Graphics/Contents.gif" ALIGN=Bottom></A><A REL=INDEX HREF="../Front/X_Master.htm"><IMG WIDTH=80 HEIGHT=40 ALT="[Index]" SRC="../Graphics/Index.gif" ALIGN=Bottom></A><A REL=INDEX HREF="../Front/X_Symbol.htm"><IMG WIDTH=80 HEIGHT=40 ALT="[Symbols]" SRC="../Graphics/Symbols.gif" ALIGN=Bottom></A><A REL=GLOSSARY HREF="../Body/26_a.htm"><IMG WIDTH=80 HEIGHT=40 ALT="[Glossary]" SRC="../Graphics/Glossary.gif" ALIGN=Bottom></A><A HREF="../Front/X3J13Iss.htm"><IMG WIDTH=80 HEIGHT=40 ALT="[Issues]" SRC="../Graphics/Issues.gif" ALIGN=Bottom></A><BR>
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<A REL=COPYRIGHT HREF="../Front/Help.htm#Legal"><I>Copyright 1996-2005, LispWorks Ltd. All rights reserved.</I></A><P>
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