89 lines
5.3 KiB
HTML
89 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 MAX, MIN</TITLE>
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<A NAME="max"><A NAME="min"><I>Function</I> <B>MAX, MIN</B></A></A> <P>
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<P><B>Syntax:</B><P>
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<P>
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<B>max</B> <I><TT>&rest</TT> reals+</I> => <I>max-real</I><P>
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<B>min</B> <I><TT>&rest</TT> reals+</I> => <I>min-real</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>real</I>---a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A>. <P>
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<I>max-real</I>, <I>min-real</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="#max"><B>max</B></A> returns the <I>real</I> that is greatest (closest to positive infinity). <A REL=DEFINITION HREF="#min"><B>min</B></A> returns the <I>real</I> that is least (closest to negative infinity). <P>
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For <A REL=DEFINITION HREF="#max"><B>max</B></A>, the implementation has the choice of returning the largest argument as is or applying the rules of floating-point <A REL=DEFINITION HREF="26_glo_c.htm#contagion"><I>contagion</I></A>, taking all the arguments into consideration for <A REL=DEFINITION HREF="26_glo_c.htm#contagion"><I>contagion</I></A> purposes. Also, if one or more of the arguments are <A REL=DEFINITION HREF="f_eq_sle.htm#EQ"><B>=</B></A>, then any one of them may be chosen as the value to return. For example, if the <I>reals</I> are a mixture of <A REL=DEFINITION HREF="26_glo_r.htm#rational"><I>rationals</I></A> and <A REL=DEFINITION HREF="26_glo_f.htm#float"><I>floats</I></A>, and the largest argument is a <A REL=DEFINITION HREF="26_glo_r.htm#rational"><I>rational</I></A>, then the implementation is free to produce either that <A REL=DEFINITION HREF="26_glo_r.htm#rational"><I>rational</I></A> or its <A REL=DEFINITION HREF="26_glo_f.htm#float"><I>float</I></A> approximation; if the largest argument is a <A REL=DEFINITION HREF="26_glo_f.htm#float"><I>float</I></A> of a smaller format than the largest format of any <A REL=DEFINITION HREF="26_glo_f.htm#float"><I>float</I></A> argument, then the implementation is free to return the argument in its given format or expanded to the larger format. Similar remarks apply to <A REL=DEFINITION HREF="#min"><B>min</B></A> (replacing ``largest argument'' by ``smallest argument''). <P>
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<P><B>Examples:</B><P>
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<P>
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<PRE>
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(max 3) => 3
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(min 3) => 3
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(max 6 12) => 12
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(min 6 12) => 6
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(max -6 -12) => -6
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(min -6 -12) => -12
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(max 1 3 2 -7) => 3
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(min 1 3 2 -7) => -7
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(max -2 3 0 7) => 7
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(min -2 3 0 7) => -2
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(max 5.0 2) => 5.0
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(min 5.0 2)
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=> 2
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OR=> 2.0
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(max 3.0 7 1)
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=> 7
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OR=> 7.0
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(min 3.0 7 1)
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=> 1
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OR=> 1.0
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(max 1.0s0 7.0d0) => 7.0d0
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(min 1.0s0 7.0d0)
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=> 1.0s0
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OR=> 1.0d0
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(max 3 1 1.0s0 1.0d0)
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=> 3
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OR=> 3.0d0
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(min 3 1 1.0s0 1.0d0)
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=> 1
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OR=> 1.0s0
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OR=> 1.0d0
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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><P>
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<P>
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Should signal an error of <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <A REL=DEFINITION HREF="e_tp_err.htm#type-error"><B>type-error</B></A> if any <I>number</I> is not a <A REL=DEFINITION HREF="t_real.htm#real"><I>real</I></A>. <P>
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<P><B>See Also:</B> None.
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<P>
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<P><B>Notes:</B> None.
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<P>
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