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+<!-- doc/src/sgml/brin.sgml -->
+
+<chapter id="brin">
+<title>BRIN Indexes</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>BRIN</secondary>
+ </indexterm>
+
+<sect1 id="brin-intro">
+ <title>Introduction</title>
+
+ <para>
+ <acronym>BRIN</acronym> stands for Block Range Index.
+ <acronym>BRIN</acronym> is designed for handling very large tables
+ in which certain columns have some natural correlation with their
+ physical location within the table.
+ A <firstterm>block range</firstterm> is a group of pages that are physically
+ adjacent in the table; for each block range, some summary info is stored
+ by the index.
+ For example, a table storing a store's sale orders might have
+ a date column on which each order was placed, and most of the time
+ the entries for earlier orders will appear earlier in the table as well;
+ a table storing a ZIP code column might have all codes for a city
+ grouped together naturally.
+ </para>
+
+ <para>
+ <acronym>BRIN</acronym> indexes can satisfy queries via regular bitmap
+ index scans, and will return all tuples in all pages within each range if
+ the summary info stored by the index is <firstterm>consistent</firstterm> with the
+ query conditions.
+ The query executor is in charge of rechecking these tuples and discarding
+ those that do not match the query conditions &mdash; in other words, these
+ indexes are lossy.
+ Because a <acronym>BRIN</acronym> index is very small, scanning the index
+ adds little overhead compared to a sequential scan, but may avoid scanning
+ large parts of the table that are known not to contain matching tuples.
+ </para>
+
+ <para>
+ The specific data that a <acronym>BRIN</acronym> index will store,
+ as well as the specific queries that the index will be able to satisfy,
+ depend on the operator class selected for each column of the index.
+ Data types having a linear sort order can have operator classes that
+ store the minimum and maximum value within each block range, for instance;
+ geometrical types might store the bounding box for all the objects
+ in the block range.
+ </para>
+
+ <para>
+ The size of the block range is determined at index creation time by
+ the <literal>pages_per_range</literal> storage parameter. The number of index
+ entries will be equal to the size of the relation in pages divided by
+ the selected value for <literal>pages_per_range</literal>. Therefore, the smaller
+ the number, the larger the index becomes (because of the need to
+ store more index entries), but at the same time the summary data stored can
+ be more precise and more data blocks can be skipped during an index scan.
+ </para>
+
+ <sect2 id="brin-operation">
+ <title>Index Maintenance</title>
+
+ <para>
+ At the time of creation, all existing heap pages are scanned and a
+ summary index tuple is created for each range, including the
+ possibly-incomplete range at the end.
+ As new pages are filled with data, page ranges that are already
+ summarized will cause the summary information to be updated with data
+ from the new tuples.
+ When a new page is created that does not fall within the last
+ summarized range, that range does not automatically acquire a summary
+ tuple; those tuples remain unsummarized until a summarization run is
+ invoked later, creating initial summaries.
+ This process can be invoked manually using the
+ <function>brin_summarize_range(regclass, bigint)</function> or
+ <function>brin_summarize_new_values(regclass)</function> functions;
+ automatically when <command>VACUUM</command> processes the table;
+ or by automatic summarization executed by autovacuum, as insertions
+ occur. (This last trigger is disabled by default and can be enabled
+ with the <literal>autosummarize</literal> parameter.)
+ Conversely, a range can be de-summarized using the
+ <function>brin_desummarize_range(regclass, bigint)</function> function,
+ which is useful when the index tuple is no longer a very good
+ representation because the existing values have changed.
+ </para>
+
+ <para>
+ When autosummarization is enabled, each time a page range is filled a
+ request is sent to autovacuum for it to execute a targeted summarization
+ for that range, to be fulfilled at the end of the next worker run on the
+ same database. If the request queue is full, the request is not recorded
+ and a message is sent to the server log:
+<screen>
+LOG: request for BRIN range summarization for index "brin_wi_idx" page 128 was not recorded
+</screen>
+ When this happens, the range will be summarized normally during the next
+ regular vacuum of the table.
+ </para>
+ </sect2>
+</sect1>
+
+<sect1 id="brin-builtin-opclasses">
+ <title>Built-in Operator Classes</title>
+
+ <para>
+ The core <productname>PostgreSQL</productname> distribution
+ includes the <acronym>BRIN</acronym> operator classes shown in
+ <xref linkend="brin-builtin-opclasses-table"/>.
+ </para>
+
+ <para>
+ The <firstterm>minmax</firstterm>
+ operator classes store the minimum and the maximum values appearing
+ in the indexed column within the range. The <firstterm>inclusion</firstterm>
+ operator classes store a value which includes the values in the indexed
+ column within the range.
+ </para>
+
+ <table id="brin-builtin-opclasses-table">
+ <title>Built-in <acronym>BRIN</acronym> Operator Classes</title>
+ <tgroup cols="3">
+ <colspec colname="col1" colwidth="2*"/>
+ <colspec colname="col2" colwidth="2*"/>
+ <colspec colname="col3" colwidth="1*"/>
+ <thead>
+ <row>
+ <entry>Name</entry>
+ <entry>Indexed Data Type</entry>
+ <entry>Indexable Operators</entry>
+ </row>
+ </thead>
+ <tbody>
+ <row>
+ <entry><literal>int8_minmax_ops</literal></entry>
+ <entry><type>bigint</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>bit_minmax_ops</literal></entry>
+ <entry><type>bit</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>varbit_minmax_ops</literal></entry>
+ <entry><type>bit varying</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>box_inclusion_ops</literal></entry>
+ <entry><type>box</type></entry>
+ <entry>
+ <literal>&lt;&lt;</literal>
+ <literal>&amp;&lt;</literal>
+ <literal>&amp;&amp;</literal>
+ <literal>&amp;&gt;</literal>
+ <literal>&gt;&gt;</literal>
+ <literal>~=</literal>
+ <literal>@&gt;</literal>
+ <literal>&lt;@</literal>
+ <literal>&amp;&lt;|</literal>
+ <literal>&lt;&lt;|</literal>
+ <literal>|&gt;&gt;</literal>
+ <literal>|&amp;&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>bytea_minmax_ops</literal></entry>
+ <entry><type>bytea</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>bpchar_minmax_ops</literal></entry>
+ <entry><type>character</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>char_minmax_ops</literal></entry>
+ <entry><type>"char"</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>date_minmax_ops</literal></entry>
+ <entry><type>date</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>float8_minmax_ops</literal></entry>
+ <entry><type>double precision</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>inet_minmax_ops</literal></entry>
+ <entry><type>inet</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>network_inclusion_ops</literal></entry>
+ <entry><type>inet</type></entry>
+ <entry>
+ <literal>&amp;&amp;</literal>
+ <literal>&gt;&gt;=</literal>
+ <literal>&lt;&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;&gt;</literal>
+ <literal>&lt;&lt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>int4_minmax_ops</literal></entry>
+ <entry><type>integer</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>interval_minmax_ops</literal></entry>
+ <entry><type>interval</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>macaddr_minmax_ops</literal></entry>
+ <entry><type>macaddr</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>macaddr8_minmax_ops</literal></entry>
+ <entry><type>macaddr8</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>name_minmax_ops</literal></entry>
+ <entry><type>name</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>numeric_minmax_ops</literal></entry>
+ <entry><type>numeric</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>pg_lsn_minmax_ops</literal></entry>
+ <entry><type>pg_lsn</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>oid_minmax_ops</literal></entry>
+ <entry><type>oid</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>range_inclusion_ops</literal></entry>
+ <entry><type>any range type</type></entry>
+ <entry>
+ <literal>&lt;&lt;</literal>
+ <literal>&amp;&lt;</literal>
+ <literal>&amp;&amp;</literal>
+ <literal>&amp;&gt;</literal>
+ <literal>&gt;&gt;</literal>
+ <literal>@&gt;</literal>
+ <literal>&lt;@</literal>
+ <literal>-|-</literal>
+ <literal>=</literal>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;</literal>
+ <literal>&gt;=</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>float4_minmax_ops</literal></entry>
+ <entry><type>real</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>int2_minmax_ops</literal></entry>
+ <entry><type>smallint</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>text_minmax_ops</literal></entry>
+ <entry><type>text</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>tid_minmax_ops</literal></entry>
+ <entry><type>tid</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>timestamp_minmax_ops</literal></entry>
+ <entry><type>timestamp without time zone</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>timestamptz_minmax_ops</literal></entry>
+ <entry><type>timestamp with time zone</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>time_minmax_ops</literal></entry>
+ <entry><type>time without time zone</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>timetz_minmax_ops</literal></entry>
+ <entry><type>time with time zone</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ <row>
+ <entry><literal>uuid_minmax_ops</literal></entry>
+ <entry><type>uuid</type></entry>
+ <entry>
+ <literal>&lt;</literal>
+ <literal>&lt;=</literal>
+ <literal>=</literal>
+ <literal>&gt;=</literal>
+ <literal>&gt;</literal>
+ </entry>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
+</sect1>
+
+<sect1 id="brin-extensibility">
+ <title>Extensibility</title>
+
+ <para>
+ The <acronym>BRIN</acronym> interface has a high level of abstraction,
+ requiring the access method implementer only to implement the semantics
+ of the data type being accessed. The <acronym>BRIN</acronym> layer
+ itself takes care of concurrency, logging and searching the index structure.
+ </para>
+
+ <para>
+ All it takes to get a <acronym>BRIN</acronym> access method working is to
+ implement a few user-defined methods, which define the behavior of
+ summary values stored in the index and the way they interact with
+ scan keys.
+ In short, <acronym>BRIN</acronym> combines
+ extensibility with generality, code reuse, and a clean interface.
+ </para>
+
+ <para>
+ There are four methods that an operator class for <acronym>BRIN</acronym>
+ must provide:
+
+ <variablelist>
+ <varlistentry>
+ <term><function>BrinOpcInfo *opcInfo(Oid type_oid)</function></term>
+ <listitem>
+ <para>
+ Returns internal information about the indexed columns' summary data.
+ The return value must point to a palloc'd <structname>BrinOpcInfo</structname>,
+ which has this definition:
+<programlisting>
+typedef struct BrinOpcInfo
+{
+ /* Number of columns stored in an index column of this opclass */
+ uint16 oi_nstored;
+
+ /* Opaque pointer for the opclass' private use */
+ void *oi_opaque;
+
+ /* Type cache entries of the stored columns */
+ TypeCacheEntry *oi_typcache[FLEXIBLE_ARRAY_MEMBER];
+} BrinOpcInfo;
+</programlisting>
+ <structname>BrinOpcInfo</structname>.<structfield>oi_opaque</structfield> can be used by the
+ operator class routines to pass information between support functions
+ during an index scan.
+ </para>
+ </listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term><function>bool consistent(BrinDesc *bdesc, BrinValues *column,
+ ScanKey key)</function></term>
+ <listitem>
+ <para>
+ Returns whether the ScanKey is consistent with the given indexed
+ values for a range.
+ The attribute number to use is passed as part of the scan key.
+ </para>
+ </listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term><function>bool addValue(BrinDesc *bdesc, BrinValues *column,
+ Datum newval, bool isnull)</function></term>
+ <listitem>
+ <para>
+ Given an index tuple and an indexed value, modifies the indicated
+ attribute of the tuple so that it additionally represents the new value.
+ If any modification was done to the tuple, <literal>true</literal> is
+ returned.
+ </para>
+ </listitem>
+ </varlistentry>
+
+ <varlistentry>
+ <term><function>bool unionTuples(BrinDesc *bdesc, BrinValues *a,
+ BrinValues *b)</function></term>
+ <listitem>
+ <para>
+ Consolidates two index tuples. Given two index tuples, modifies the
+ indicated attribute of the first of them so that it represents both tuples.
+ The second tuple is not modified.
+ </para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+
+ An operator class for <acronym>BRIN</acronym> can optionally specify the
+ following method:
+
+ <variablelist>
+ <varlistentry>
+ <term><function>void options(local_relopts *relopts)</function></term>
+ <listitem>
+ <para>
+ Defines a set of user-visible parameters that control operator class
+ behavior.
+ </para>
+
+ <para>
+ The <function>options</function> function is passed a pointer to a
+ <replaceable>local_relopts</replaceable> struct, which needs to be
+ filled with a set of operator class specific options. The options
+ can be accessed from other support functions using the
+ <literal>PG_HAS_OPCLASS_OPTIONS()</literal> and
+ <literal>PG_GET_OPCLASS_OPTIONS()</literal> macros.
+ </para>
+
+ <para>
+ Since both key extraction of indexed values and representation of the
+ key in <acronym>BRIN</acronym> are flexible, they may depend on
+ user-specified parameters.
+ </para>
+ </listitem>
+ </varlistentry>
+ </variablelist>
+
+ The core distribution includes support for two types of operator classes:
+ minmax and inclusion. Operator class definitions using them are shipped for
+ in-core data types as appropriate. Additional operator classes can be
+ 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 functions' source code.
+ </para>
+
+ <para>
+ Operator classes that implement completely different semantics are also
+ possible, provided implementations of the four main support functions
+ described above are written. Note that backwards compatibility across major
+ releases is not guaranteed: for example, additional support functions might
+ be required in later releases.
+ </para>
+
+ <para>
+ To write an operator class for a data type that implements a totally
+ ordered set, it is possible to use the minmax support functions
+ alongside the corresponding operators, as shown in
+ <xref linkend="brin-extensibility-minmax-table"/>.
+ All operator class members (functions and operators) are mandatory.
+ </para>
+
+ <table id="brin-extensibility-minmax-table">
+ <title>Function and Support Numbers for Minmax Operator Classes</title>
+ <tgroup cols="2">
+ <colspec colname="col1" colwidth="1*"/>
+ <colspec colname="col2" colwidth="2*"/>
+ <thead>
+ <row>
+ <entry>Operator class member</entry>
+ <entry>Object</entry>
+ </row>
+ </thead>
+ <tbody>
+ <row>
+ <entry>Support Function 1</entry>
+ <entry>internal function <function>brin_minmax_opcinfo()</function></entry>
+ </row>
+ <row>
+ <entry>Support Function 2</entry>
+ <entry>internal function <function>brin_minmax_add_value()</function></entry>
+ </row>
+ <row>
+ <entry>Support Function 3</entry>
+ <entry>internal function <function>brin_minmax_consistent()</function></entry>
+ </row>
+ <row>
+ <entry>Support Function 4</entry>
+ <entry>internal function <function>brin_minmax_union()</function></entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 1</entry>
+ <entry>operator less-than</entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 2</entry>
+ <entry>operator less-than-or-equal-to</entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 3</entry>
+ <entry>operator equal-to</entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 4</entry>
+ <entry>operator greater-than-or-equal-to</entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 5</entry>
+ <entry>operator greater-than</entry>
+ </row>
+ </tbody>
+ </tgroup>
+ </table>
+
+ <para>
+ To write an operator class for a complex data type which has values
+ included within another type, it's possible to use the inclusion support
+ functions 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>Function and Support Numbers for Inclusion Operator Classes</title>
+ <tgroup cols="3">
+ <colspec colname="col1" colwidth="1*"/>
+ <colspec colname="col2" colwidth="2*"/>
+ <colspec colname="col3" colwidth="1*"/>
+ <thead>
+ <row>
+ <entry>Operator class member</entry>
+ <entry>Object</entry>
+ <entry>Dependency</entry>
+ </row>
+ </thead>
+ <tbody>
+ <row>
+ <entry>Support Function 1</entry>
+ <entry>internal function <function>brin_inclusion_opcinfo()</function></entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 2</entry>
+ <entry>internal function <function>brin_inclusion_add_value()</function></entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 3</entry>
+ <entry>internal function <function>brin_inclusion_consistent()</function></entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 4</entry>
+ <entry>internal function <function>brin_inclusion_union()</function></entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 11</entry>
+ <entry>function to merge two elements</entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 12</entry>
+ <entry>optional function to check whether two elements are mergeable</entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 13</entry>
+ <entry>optional function to check if an element is contained within another</entry>
+ <entry></entry>
+ </row>
+ <row>
+ <entry>Support Function 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 does-not-extend-to-the-left-of</entry>
+ <entry>Operator Strategy 1</entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 5</entry>
+ <entry>operator right-of</entry>
+ <entry>Operator Strategy 2</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 5</entry>
+ </row>
+ <row>
+ <entry>Operator Strategy 21</entry>
+ <entry>operator less-than-or-equal-to</entry>
+ <entry>Operator Strategy 5</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 function numbers 1 through 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 data type as the operator class,
+ and return the union of them. The inclusion operator class can store union
+ values with different data types if it is defined with the
+ <literal>STORAGE</literal> parameter. The return value of the union
+ function should match the <literal>STORAGE</literal> data type.
+ </para>
+
+ <para>
+ Support function numbers 12 and 14 are provided to support
+ irregularities of built-in data types. Function number 12
+ is used to support network addresses from different families which
+ are not mergeable. Function number 14 is used to support
+ empty ranges. Function 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 operator classes support cross-data-type
+ operators, though with these the dependencies become more complicated.
+ The minmax operator class requires a full set of operators to be
+ defined with both arguments having the same data type. It allows
+ additional data types to be supported by defining extra sets
+ of operators. Inclusion operator class 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</literal> data type as the
+ left-hand-side argument and the other supported data type to be the
+ right-hand-side argument of the supported operator. See
+ <literal>float4_minmax_ops</literal> as an example of minmax, and
+ <literal>box_inclusion_ops</literal> as an example of inclusion.
+ </para>
+</sect1>
+</chapter>