36 lines
4.8 KiB
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36 lines
4.8 KiB
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<TITLE>CLHS: System Class NUMBER</TITLE>
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<A NAME="number"><I>System Class</I> <B>NUMBER</B></A> <P>
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<P><B>Class Precedence List:</B><P>
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<A REL=DEFINITION HREF="#number"><B>number</B></A>, <A REL=DEFINITION HREF="t_t.htm#t"><B>t</B></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_t.htm#type"><I>type</I></A> <A REL=DEFINITION HREF="#number"><B>number</B></A> contains <A REL=DEFINITION HREF="26_glo_o.htm#object"><I>objects</I></A> which represent mathematical numbers. The <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>types</I></A> <A REL=DEFINITION HREF="t_real.htm#real"><B>real</B></A> and <A REL=DEFINITION HREF="t_comple.htm#complex"><B>complex</B></A> are <A REL=DEFINITION HREF="26_glo_d.htm#disjoint"><I>disjoint</I></A> <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtypes</I></A> of <A REL=DEFINITION HREF="#number"><B>number</B></A>. <P>
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The <A REL=DEFINITION HREF="26_glo_f.htm#function"><I>function</I></A> <A REL=DEFINITION HREF="f_eq_sle.htm#EQ"><B>=</B></A> tests for numerical equality. The <A REL=DEFINITION HREF="26_glo_f.htm#function"><I>function</I></A> <A REL=DEFINITION HREF="f_eql.htm#eql"><B>eql</B></A>, when its arguments are both <A REL=DEFINITION HREF="26_glo_n.htm#number"><I>numbers</I></A>, tests that they have both the same <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> and numerical value. Two <A REL=DEFINITION HREF="26_glo_n.htm#number"><I>numbers</I></A> that are the <A REL=DEFINITION HREF="26_glo_s.htm#same"><I>same</I></A> under <A REL=DEFINITION HREF="f_eql.htm#eql"><B>eql</B></A> or <A REL=DEFINITION HREF="f_eq_sle.htm#EQ"><B>=</B></A> are not necessarily the <A REL=DEFINITION HREF="26_glo_s.htm#same"><I>same</I></A> under <A REL=DEFINITION HREF="f_eq.htm#eq"><B>eq</B></A>. <P>
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<P><B>Notes:</B><P>
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<P>
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Common Lisp differs from mathematics on some naming issues. In mathematics, the set of real numbers is traditionally described as a subset of the complex numbers, but in Common Lisp, the <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <A REL=DEFINITION HREF="t_real.htm#real"><B>real</B></A> and the <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <A REL=DEFINITION HREF="t_comple.htm#complex"><B>complex</B></A> are disjoint. The Common Lisp type which includes all mathematical complex numbers is called <A REL=DEFINITION HREF="#number"><B>number</B></A>. The reasons for these differences include historical precedent, compatibility with most other popular computer languages, and various issues of time and space efficiency. <P>
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<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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