defined by the user for other data types using equivalent definitions,
    without having to write any source code; appropriate catalog entries being
    declared is enough.  Note that assumptions about the semantics of operator
 -  strategies are embedded in the support procedures's source code.
 +  strategies are embedded in the support procedures' source code.
   </para>
  
   <para>
      <tbody>
      <row>
       <entry>Support Procedure 1</entry>
 -     <entry>function <function>brin_minmax_opcinfo()</function></entry>
 +     <entry>internal function <function>brin_minmax_opcinfo()</function></entry>
      </row>
      <row>
       <entry>Support Procedure 2</entry>
 -     <entry>function <function>brin_minmax_add_value()</function></entry>
 +     <entry>internal function <function>brin_minmax_add_value()</function></entry>
      </row>
      <row>
       <entry>Support Procedure 3</entry>
 -     <entry>function <function>brin_minmax_consistent()</function></entry>
 +     <entry>internal function <function>brin_minmax_consistent()</function></entry>
      </row>
      <row>
       <entry>Support Procedure 4</entry>
 -     <entry>function <function>brin_minmax_union()</function></entry>
 +     <entry>internal function <function>brin_minmax_union()</function></entry>
      </row>
      <row>
       <entry>Operator Strategy 1</entry>
      </tbody>
    </tgroup>
   </table>
 +
 + <para>
 +  To write an operator class for a complex datatype which has values
 +  included within another type, it's possible to use the inclusion support
 +  procedures alongside the corresponding operators, as shown
 +  in <xref linkend="brin-extensibility-inclusion-table">.  It requires
 +  only a single additional function, which can be written in any language.
 +  More functions can be defined for additional functionality.  All operators
 +  are optional.  Some operators require other operators, as shown as
 +  dependencies on the table.
 + </para>
 +
 + <table id="brin-extensibility-inclusion-table">
 +  <title>Procedure and Support Numbers for Inclusion Operator Classes</title>
 +  <tgroup cols="3">
 +   <thead>
 +    <row>
 +     <entry>Operator class member</entry>
 +     <entry>Object</entry>
 +     <entry>Dependency</entry>
 +    </row>
 +   </thead>
 +   <tbody>
 +    <row>
 +     <entry>Support Procedure 1</entry>
 +     <entry>internal function <function>brin_inclusion_opcinfo()</function></entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 2</entry>
 +     <entry>internal function <function>brin_inclusion_add_value()</function></entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 3</entry>
 +     <entry>internal function <function>brin_inclusion_consistent()</function></entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 4</entry>
 +     <entry>internal function <function>brin_inclusion_union()</function></entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 11</entry>
 +     <entry>function to merge two elements</entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 12</entry>
 +     <entry>optional function to check whether two elements are mergeable</entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 13</entry>
 +     <entry>optional function to check if an element is contained within another</entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Support Procedure 14</entry>
 +     <entry>optional function to check whether an element is empty</entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 1</entry>
 +     <entry>operator left-of</entry>
 +     <entry>Operator Strategy 4</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 2</entry>
 +     <entry>operator does-not-extend-to-the-right-of</entry>
 +     <entry>Operator Strategy 5</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 3</entry>
 +     <entry>operator overlaps</entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 4</entry>
 +     <entry>operator right-of</entry>
 +     <entry>Operator Strategy 2</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 5</entry>
 +     <entry>operator does-not-extend-to-the-right-of</entry>
 +     <entry>Operator Strategy 1</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 6, 18</entry>
 +     <entry>operator same-as-or-equal-to</entry>
 +     <entry>Operator Strategy 7</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 7, 13, 16, 24, 25</entry>
 +     <entry>operator contains-or-equal-to</entry>
 +     <entry></entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 8, 14, 26, 27</entry>
 +     <entry>operator is-contained-by-or-equal-to</entry>
 +     <entry>Operator Strategy 3</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 9</entry>
 +     <entry>operator does-not-extend-above</entry>
 +     <entry>Operator Strategy 11</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 10</entry>
 +     <entry>operator is-below</entry>
 +     <entry>Operator Strategy 12</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 11</entry>
 +     <entry>operator is-above</entry>
 +     <entry>Operator Strategy 9</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 12</entry>
 +     <entry>operator does-not-extend-below</entry>
 +     <entry>Operator Strategy 10</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 20</entry>
 +     <entry>operator less-than</entry>
 +     <entry>Operator Strategy 4</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 21</entry>
 +     <entry>operator less-than-or-equal-to</entry>
 +     <entry>Operator Strategy 4</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 22</entry>
 +     <entry>operator greater-than</entry>
 +     <entry>Operator Strategy 1</entry>
 +    </row>
 +    <row>
 +     <entry>Operator Strategy 23</entry>
 +     <entry>operator greater-than-or-equal-to</entry>
 +     <entry>Operator Strategy 1</entry>
 +    </row>
 +   </tbody>
 +  </tgroup>
 + </table>
 +
 + <para>
 +    Support procedure numbers 1-10 are reserved for the BRIN internal
 +    functions, so the SQL level functions start with number 11.  Support
 +    function number 11 is the main function required to build the index.
 +    It should accept two arguments with the same datatype as the opclass,
 +    and return the union of them.  The inclusion opclass can store union
 +    values with different datatypes if it is defined with the
 +    <literal>STORAGE</> parameter.  The return value of the union
 +    function should match the <literal>STORAGE</> datatype.
 + </para>
 +
 + <para>
 +    Support procedure numbers 12 and 14 are provided to support
 +    irregularities of built-in datatypes.  Procedure number 12
 +    is used to support network addresses from different families which
 +    are not mergeable.  Procedure number 14 is used to support
 +    empty ranges.  Procedure number 13 is an optional but
 +    recommended one, which allows the new value to be checked before
 +    it is passed to the union function.  As the BRIN framework can shortcut
 +    some operations when the union is not changed, using this
 +    function can improve index performance.
 + </para>
 +
 + <para>
 +    Both minmax and inclusion opclasses support cross-datatype
 +    operators, though with these the dependencies become more complicated.
 +    The minmax opclass requires a full set of operators to be
 +    defined with both arguments having the same datatype.  It allows
 +    additional datatypes to be supported by defining extra sets
 +    of operators.  Inclusion opclass operator strategies are dependent
 +    on another operator strategy as shown in
 +    <xref linkend="brin-extensibility-inclusion-table">, or the same
 +    operator strategy as themselves.  They require the dependency
 +    operator to be defined with the <literal>STORAGE</> datatype as the
 +    left-hand-side argument and the other supported datatype to be the
 +    right-hand-side argument of the supported operator.  See
 +    <literal>float4_minmax_ops</> as an example of minmax, and
 +    <literal>box_inclusion_ops</> as an example of inclusion.
 + </para>
  </sect1>
  </chapter>