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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: Section 12.1.6</TITLE>
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<H2>
12.1.6 Interval Designators</H2> <P>
The <A REL=DEFINITION HREF="26_glo_c.htm#compound_type_specifier"><I>compound type specifier</I></A> form of the numeric <A REL=DEFINITION HREF="26_glo_t.htm#type_specifier"><I>type specifiers</I></A> permit the user to specify an interval on the real number line which describe a <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtype</I></A> of the <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> which would be described by the corresponding <A REL=DEFINITION HREF="26_glo_a.htm#atomic_type_specifier"><I>atomic type specifier</I></A>. A <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtype</I></A> of some <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> is specified using an ordered pair of <A REL=DEFINITION HREF="26_glo_o.htm#object"><I>objects</I></A> called <A REL=DEFINITION HREF="26_glo_i.htm#interval_designator"><I>interval designators</I></A> for <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I>. <P>
The first of the two <A REL=DEFINITION HREF="26_glo_i.htm#interval_designator"><I>interval designators</I></A> for <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> can be any of the following: <P>
<P><DL><P>
<DT>a number <I>N</I> of <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> <P><DD>
This denotes a lower inclusive bound of <I>N</I>. That is, <A REL=DEFINITION HREF="26_glo_e.htm#element"><I>elements</I></A> of the <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtype</I></A> of <I>T</I> will be greater than or equal to <I>N</I>. <P>
<DT>a <A REL=DEFINITION HREF="26_glo_s.htm#singleton"><I>singleton</I></A> <A REL=DEFINITION HREF="26_glo_l.htm#list"><I>list</I></A> whose <A REL=DEFINITION HREF="26_glo_e.htm#element"><I>element</I></A> is a number <I>M</I> of <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> <P><DD>
This denotes a lower exclusive bound of <I>M</I>. That is, <A REL=DEFINITION HREF="26_glo_e.htm#element"><I>elements</I></A> of the <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtype</I></A> of <I>T</I> will be greater than <I>M</I>. <P>
<DT>the symbol <A REL=DEFINITION HREF="a_st.htm#ST"><B>*</B></A> <P><DD>
This denotes the absence of a lower bound on the interval. <P>
<P></DL><P>
The second of the two <A REL=DEFINITION HREF="26_glo_i.htm#interval_designator"><I>interval designators</I></A> for <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> can be any of the following: <P>
<P><DL><P>
<DT>a number <I>N</I> of <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> <P><DD>
This denotes an upper inclusive bound of <I>N</I>. That is, <A REL=DEFINITION HREF="26_glo_e.htm#element"><I>elements</I></A> of the <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtype</I></A> of <I>T</I> will be less than or equal to <I>N</I>. <P>
<DT>a <A REL=DEFINITION HREF="26_glo_s.htm#singleton"><I>singleton</I></A> <A REL=DEFINITION HREF="26_glo_l.htm#list"><I>list</I></A> whose <A REL=DEFINITION HREF="26_glo_e.htm#element"><I>element</I></A> is a number <I>M</I> of <A REL=DEFINITION HREF="26_glo_t.htm#type"><I>type</I></A> <I>T</I> <P><DD>
This denotes an upper exclusive bound of <I>M</I>. That is, <A REL=DEFINITION HREF="26_glo_e.htm#element"><I>elements</I></A> of the <A REL=DEFINITION HREF="26_glo_s.htm#subtype"><I>subtype</I></A> of <I>T</I> will be less than <I>M</I>. <P>
<DT>the symbol <A REL=DEFINITION HREF="a_st.htm#ST"><B>*</B></A> <P><DD>
This denotes the absence of an upper bound on the interval. <P>
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