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+ <sect1 id="functions-range">
+ <title>Range/Multirange Functions and Operators</title>
+
+ <para>
+ See <xref linkend="rangetypes"/> for an overview of range types.
+ </para>
+
+ <para>
+ <xref linkend="range-operators-table"/> shows the specialized operators
+ available for range types.
+ <xref linkend="multirange-operators-table"/> shows the specialized operators
+ available for multirange types.
+ In addition to those, the usual comparison operators shown in
+ <xref linkend="functions-comparison-op-table"/> are available for range
+ and multirange types. The comparison operators order first by the range lower
+ bounds, and only if those are equal do they compare the upper bounds. The
+ multirange operators compare each range until one is unequal. This
+ does not usually result in a useful overall ordering, but the operators are
+ provided to allow unique indexes to be constructed on ranges.
+ </para>
+
+ <table id="range-operators-table">
+ <title>Range Operators</title>
+ <tgroup cols="1">
+ <thead>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ Operator
+ </para>
+ <para>
+ Description
+ </para>
+ <para>
+ Example(s)
+ </para></entry>
+ </row>
+ </thead>
+
+ <tbody>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>@&gt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the first range contain the second?
+ </para>
+ <para>
+ <literal>int4range(2,4) @&gt; int4range(2,3)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>@&gt;</literal> <type>anyelement</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range contain the element?
+ </para>
+ <para>
+ <literal>'[2011-01-01,2011-03-01)'::tsrange @&gt; '2011-01-10'::timestamp</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&lt;@</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the first range contained by the second?
+ </para>
+ <para>
+ <literal>int4range(2,4) &lt;@ int4range(1,7)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyelement</type> <literal>&lt;@</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the element contained in the range?
+ </para>
+ <para>
+ <literal>42 &lt;@ int4range(1,7)</literal>
+ <returnvalue>f</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&amp;&amp;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Do the ranges overlap, that is, have any elements in common?
+ </para>
+ <para>
+ <literal>int8range(3,7) &amp;&amp; int8range(4,12)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&lt;&lt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the first range strictly left of the second?
+ </para>
+ <para>
+ <literal>int8range(1,10) &lt;&lt; int8range(100,110)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&gt;&gt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the first range strictly right of the second?
+ </para>
+ <para>
+ <literal>int8range(50,60) &gt;&gt; int8range(20,30)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&amp;&lt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the first range not extend to the right of the second?
+ </para>
+ <para>
+ <literal>int8range(1,20) &amp;&lt; int8range(18,20)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&amp;&gt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the first range not extend to the left of the second?
+ </para>
+ <para>
+ <literal>int8range(7,20) &amp;&gt; int8range(5,10)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>-|-</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Are the ranges adjacent?
+ </para>
+ <para>
+ <literal>numrange(1.1,2.2) -|- numrange(2.2,3.3)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>+</literal> <type>anyrange</type>
+ <returnvalue>anyrange</returnvalue>
+ </para>
+ <para>
+ Computes the union of the ranges. The ranges must overlap or be
+ adjacent, so that the union is a single range (but
+ see <function>range_merge()</function>).
+ </para>
+ <para>
+ <literal>numrange(5,15) + numrange(10,20)</literal>
+ <returnvalue>[5,20)</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>*</literal> <type>anyrange</type>
+ <returnvalue>anyrange</returnvalue>
+ </para>
+ <para>
+ Computes the intersection of the ranges.
+ </para>
+ <para>
+ <literal>int8range(5,15) * int8range(10,20)</literal>
+ <returnvalue>[10,15)</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>-</literal> <type>anyrange</type>
+ <returnvalue>anyrange</returnvalue>
+ </para>
+ <para>
+ Computes the difference of the ranges. The second range must not be
+ contained in the first in such a way that the difference would not be
+ a single range.
+ </para>
+ <para>
+ <literal>int8range(5,15) - int8range(10,20)</literal>
+ <returnvalue>[5,10)</returnvalue>
+ </para></entry>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
+
+ <table id="multirange-operators-table">
+ <title>Multirange Operators</title>
+ <tgroup cols="1">
+ <thead>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ Operator
+ </para>
+ <para>
+ Description
+ </para>
+ <para>
+ Example(s)
+ </para></entry>
+ </row>
+ </thead>
+
+ <tbody>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>@&gt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the first multirange contain the second?
+ </para>
+ <para>
+ <literal>'{[2,4)}'::int4multirange @&gt; '{[2,3)}'::int4multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>@&gt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange contain the range?
+ </para>
+ <para>
+ <literal>'{[2,4)}'::int4multirange @&gt; int4range(2,3)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>@&gt;</literal> <type>anyelement</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange contain the element?
+ </para>
+ <para>
+ <literal>'{[2011-01-01,2011-03-01)}'::tsmultirange @&gt; '2011-01-10'::timestamp</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>@&gt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range contain the multirange?
+ </para>
+ <para>
+ <literal>'[2,4)'::int4range @&gt; '{[2,3)}'::int4multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&lt;@</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the first multirange contained by the second?
+ </para>
+ <para>
+ <literal>'{[2,4)}'::int4multirange &lt;@ '{[1,7)}'::int4multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&lt;@</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange contained by the range?
+ </para>
+ <para>
+ <literal>'{[2,4)}'::int4multirange &lt;@ int4range(1,7)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&lt;@</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range contained by the multirange?
+ </para>
+ <para>
+ <literal>int4range(2,4) &lt;@ '{[1,7)}'::int4multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyelement</type> <literal>&lt;@</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the element contained by the multirange?
+ </para>
+ <para>
+ <literal>4 &lt;@ '{[1,7)}'::int4multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&amp;&amp;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Do the multiranges overlap, that is, have any elements in common?
+ </para>
+ <para>
+ <literal>'{[3,7)}'::int8multirange &amp;&amp; '{[4,12)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&amp;&amp;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange overlap the range?
+ </para>
+ <para>
+ <literal>'{[3,7)}'::int8multirange &amp;&amp; int8range(4,12)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&amp;&amp;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range overlap the multirange?
+ </para>
+ <para>
+ <literal>int8range(3,7) &amp;&amp; '{[4,12)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&lt;&lt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the first multirange strictly left of the second?
+ </para>
+ <para>
+ <literal>'{[1,10)}'::int8multirange &lt;&lt; '{[100,110)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&lt;&lt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange strictly left of the range?
+ </para>
+ <para>
+ <literal>'{[1,10)}'::int8multirange &lt;&lt; int8range(100,110)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&lt;&lt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range strictly left of the multirange?
+ </para>
+ <para>
+ <literal>int8range(1,10) &lt;&lt; '{[100,110)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&gt;&gt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the first multirange strictly right of the second?
+ </para>
+ <para>
+ <literal>'{[50,60)}'::int8multirange &gt;&gt; '{[20,30)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&gt;&gt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange strictly right of the range?
+ </para>
+ <para>
+ <literal>'{[50,60)}'::int8multirange &gt;&gt; int8range(20,30)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&gt;&gt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range strictly right of the multirange?
+ </para>
+ <para>
+ <literal>int8range(50,60) &gt;&gt; '{[20,30)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&amp;&lt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the first multirange not extend to the right of the second?
+ </para>
+ <para>
+ <literal>'{[1,20)}'::int8multirange &amp;&lt; '{[18,20)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&amp;&lt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange not extend to the right of the range?
+ </para>
+ <para>
+ <literal>'{[1,20)}'::int8multirange &amp;&lt; int8range(18,20)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&amp;&lt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range not extend to the right of the multirange?
+ </para>
+ <para>
+ <literal>int8range(1,20) &amp;&lt; '{[18,20)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&amp;&gt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the first multirange not extend to the left of the second?
+ </para>
+ <para>
+ <literal>'{[7,20)}'::int8multirange &amp;&gt; '{[5,10)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>&amp;&gt;</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange not extend to the left of the range?
+ </para>
+ <para>
+ <literal>'{[7,20)}'::int8multirange &amp;&gt; int8range(5,10)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>&amp;&gt;</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range not extend to the left of the multirange?
+ </para>
+ <para>
+ <literal>int8range(7,20) &amp;&gt; '{[5,10)}'::int8multirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>-|-</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Are the multiranges adjacent?
+ </para>
+ <para>
+ <literal>'{[1.1,2.2)}'::nummultirange -|- '{[2.2,3.3)}'::nummultirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>-|-</literal> <type>anyrange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange adjacent to the range?
+ </para>
+ <para>
+ <literal>'{[1.1,2.2)}'::nummultirange -|- numrange(2.2,3.3)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anyrange</type> <literal>-|-</literal> <type>anymultirange</type>
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range adjacent to the multirange?
+ </para>
+ <para>
+ <literal>numrange(1.1,2.2) -|- '{[2.2,3.3)}'::nummultirange</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>+</literal> <type>anymultirange</type>
+ <returnvalue>anymultirange</returnvalue>
+ </para>
+ <para>
+ Computes the union of the multiranges. The multiranges need not overlap
+ or be adjacent.
+ </para>
+ <para>
+ <literal>'{[5,10)}'::nummultirange + '{[15,20)}'::nummultirange</literal>
+ <returnvalue>{[5,10), [15,20)}</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>*</literal> <type>anymultirange</type>
+ <returnvalue>anymultirange</returnvalue>
+ </para>
+ <para>
+ Computes the intersection of the multiranges.
+ </para>
+ <para>
+ <literal>'{[5,15)}'::int8multirange * '{[10,20)}'::int8multirange</literal>
+ <returnvalue>{[10,15)}</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <type>anymultirange</type> <literal>-</literal> <type>anymultirange</type>
+ <returnvalue>anymultirange</returnvalue>
+ </para>
+ <para>
+ Computes the difference of the multiranges.
+ </para>
+ <para>
+ <literal>'{[5,20)}'::int8multirange - '{[10,15)}'::int8multirange</literal>
+ <returnvalue>{[5,10), [15,20)}</returnvalue>
+ </para></entry>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
+
+ <para>
+ The left-of/right-of/adjacent operators always return false when an empty
+ range or multirange is involved; that is, an empty range is not considered to
+ be either before or after any other range.
+ </para>
+
+ <para>
+ Elsewhere empty ranges and multiranges are treated as the additive identity:
+ anything unioned with an empty value is itself. Anything minus an empty
+ value is itself. An empty multirange has exactly the same points as an empty
+ range. Every range contains the empty range. Every multirange contains as many
+ empty ranges as you like.
+ </para>
+
+ <para>
+ The range union and difference operators will fail if the resulting range would
+ need to contain two disjoint sub-ranges, as such a range cannot be
+ represented. There are separate operators for union and difference that take
+ multirange parameters and return a multirange, and they do not fail even if
+ their arguments are disjoint. So if you need a union or difference operation
+ for ranges that may be disjoint, you can avoid errors by first casting your
+ ranges to multiranges.
+ </para>
+
+ <para>
+ <xref linkend="range-functions-table"/> shows the functions
+ available for use with range types.
+ <xref linkend="multirange-functions-table"/> shows the functions
+ available for use with multirange types.
+ </para>
+
+ <table id="range-functions-table">
+ <title>Range Functions</title>
+ <tgroup cols="1">
+ <thead>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ Function
+ </para>
+ <para>
+ Description
+ </para>
+ <para>
+ Example(s)
+ </para></entry>
+ </row>
+ </thead>
+
+ <tbody>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>lower</primary>
+ </indexterm>
+ <function>lower</function> ( <type>anyrange</type> )
+ <returnvalue>anyelement</returnvalue>
+ </para>
+ <para>
+ Extracts the lower bound of the range (<literal>NULL</literal> if the
+ range is empty or has no lower bound).
+ </para>
+ <para>
+ <literal>lower(numrange(1.1,2.2))</literal>
+ <returnvalue>1.1</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>upper</primary>
+ </indexterm>
+ <function>upper</function> ( <type>anyrange</type> )
+ <returnvalue>anyelement</returnvalue>
+ </para>
+ <para>
+ Extracts the upper bound of the range (<literal>NULL</literal> if the
+ range is empty or has no upper bound).
+ </para>
+ <para>
+ <literal>upper(numrange(1.1,2.2))</literal>
+ <returnvalue>2.2</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>isempty</primary>
+ </indexterm>
+ <function>isempty</function> ( <type>anyrange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range empty?
+ </para>
+ <para>
+ <literal>isempty(numrange(1.1,2.2))</literal>
+ <returnvalue>f</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>lower_inc</primary>
+ </indexterm>
+ <function>lower_inc</function> ( <type>anyrange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range's lower bound inclusive?
+ </para>
+ <para>
+ <literal>lower_inc(numrange(1.1,2.2))</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>upper_inc</primary>
+ </indexterm>
+ <function>upper_inc</function> ( <type>anyrange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the range's upper bound inclusive?
+ </para>
+ <para>
+ <literal>upper_inc(numrange(1.1,2.2))</literal>
+ <returnvalue>f</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>lower_inf</primary>
+ </indexterm>
+ <function>lower_inf</function> ( <type>anyrange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range have no lower bound? (A lower bound of
+ <literal>-Infinity</literal> returns false.)
+ </para>
+ <para>
+ <literal>lower_inf('(,)'::daterange)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>upper_inf</primary>
+ </indexterm>
+ <function>upper_inf</function> ( <type>anyrange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the range have no upper bound? (An upper bound of
+ <literal>Infinity</literal> returns false.)
+ </para>
+ <para>
+ <literal>upper_inf('(,)'::daterange)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>range_merge</primary>
+ </indexterm>
+ <function>range_merge</function> ( <type>anyrange</type>, <type>anyrange</type> )
+ <returnvalue>anyrange</returnvalue>
+ </para>
+ <para>
+ Computes the smallest range that includes both of the given ranges.
+ </para>
+ <para>
+ <literal>range_merge('[1,2)'::int4range, '[3,4)'::int4range)</literal>
+ <returnvalue>[1,4)</returnvalue>
+ </para></entry>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
+
+ <table id="multirange-functions-table">
+ <title>Multirange Functions</title>
+ <tgroup cols="1">
+ <thead>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ Function
+ </para>
+ <para>
+ Description
+ </para>
+ <para>
+ Example(s)
+ </para></entry>
+ </row>
+ </thead>
+ <tbody>
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>lower</primary>
+ </indexterm>
+ <function>lower</function> ( <type>anymultirange</type> )
+ <returnvalue>anyelement</returnvalue>
+ </para>
+ <para>
+ Extracts the lower bound of the multirange (<literal>NULL</literal> if the
+ multirange is empty or has no lower bound).
+ </para>
+ <para>
+ <literal>lower('{[1.1,2.2)}'::nummultirange)</literal>
+ <returnvalue>1.1</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>upper</primary>
+ </indexterm>
+ <function>upper</function> ( <type>anymultirange</type> )
+ <returnvalue>anyelement</returnvalue>
+ </para>
+ <para>
+ Extracts the upper bound of the multirange (<literal>NULL</literal> if the
+ multirange is empty or has no upper bound).
+ </para>
+ <para>
+ <literal>upper('{[1.1,2.2)}'::nummultirange)</literal>
+ <returnvalue>2.2</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>isempty</primary>
+ </indexterm>
+ <function>isempty</function> ( <type>anymultirange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange empty?
+ </para>
+ <para>
+ <literal>isempty('{[1.1,2.2)}'::nummultirange)</literal>
+ <returnvalue>f</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>lower_inc</primary>
+ </indexterm>
+ <function>lower_inc</function> ( <type>anymultirange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange's lower bound inclusive?
+ </para>
+ <para>
+ <literal>lower_inc('{[1.1,2.2)}'::nummultirange)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>upper_inc</primary>
+ </indexterm>
+ <function>upper_inc</function> ( <type>anymultirange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Is the multirange's upper bound inclusive?
+ </para>
+ <para>
+ <literal>upper_inc('{[1.1,2.2)}'::nummultirange)</literal>
+ <returnvalue>f</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>lower_inf</primary>
+ </indexterm>
+ <function>lower_inf</function> ( <type>anymultirange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange have no lower bound? (A lower bound of
+ <literal>-Infinity</literal> returns false.)
+ </para>
+ <para>
+ <literal>lower_inf('{(,)}'::datemultirange)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>upper_inf</primary>
+ </indexterm>
+ <function>upper_inf</function> ( <type>anymultirange</type> )
+ <returnvalue>boolean</returnvalue>
+ </para>
+ <para>
+ Does the multirange have no upper bound? (An upper bound of
+ <literal>Infinity</literal> returns false.)
+ </para>
+ <para>
+ <literal>upper_inf('{(,)}'::datemultirange)</literal>
+ <returnvalue>t</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>range_merge</primary>
+ </indexterm>
+ <function>range_merge</function> ( <type>anymultirange</type> )
+ <returnvalue>anyrange</returnvalue>
+ </para>
+ <para>
+ Computes the smallest range that includes the entire multirange.
+ </para>
+ <para>
+ <literal>range_merge('{[1,2), [3,4)}'::int4multirange)</literal>
+ <returnvalue>[1,4)</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>multirange (function)</primary>
+ </indexterm>
+ <function>multirange</function> ( <type>anyrange</type> )
+ <returnvalue>anymultirange</returnvalue>
+ </para>
+ <para>
+ Returns a multirange containing just the given range.
+ </para>
+ <para>
+ <literal>multirange('[1,2)'::int4range)</literal>
+ <returnvalue>{[1,2)}</returnvalue>
+ </para></entry>
+ </row>
+
+ <row>
+ <entry role="func_table_entry"><para role="func_signature">
+ <indexterm>
+ <primary>unnest</primary>
+ <secondary>for multirange</secondary>
+ </indexterm>
+ <function>unnest</function> ( <type>anymultirange</type> )
+ <returnvalue>setof anyrange</returnvalue>
+ </para>
+ <para>
+ Expands a multirange into a set of ranges in ascending order.
+ </para>
+ <para>
+ <literal>unnest('{[1,2), [3,4)}'::int4multirange)</literal>
+ <returnvalue></returnvalue>
+<programlisting>
+ [1,2)
+ [3,4)
+</programlisting>
+ </para></entry>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
+
+ <para>
+ The <function>lower_inc</function>, <function>upper_inc</function>,
+ <function>lower_inf</function>, and <function>upper_inf</function>
+ functions all return false for an empty range or multirange.
+ </para>
+ </sect1>