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+<!-- doc/src/sgml/indices.sgml -->
+
+<chapter id="indexes">
+ <title>Indexes</title>
+
+ <indexterm zone="indexes">
+ <primary>index</primary>
+ </indexterm>
+
+ <para>
+ Indexes are a common way to enhance database performance. An index
+ allows the database server to find and retrieve specific rows much
+ faster than it could do without an index. But indexes also add
+ overhead to the database system as a whole, so they should be used
+ sensibly.
+ </para>
+
+
+ <sect1 id="indexes-intro">
+ <title>Introduction</title>
+
+ <para>
+ Suppose we have a table similar to this:
+<programlisting>
+CREATE TABLE test1 (
+ id integer,
+ content varchar
+);
+</programlisting>
+ and the application issues many queries of the form:
+<programlisting>
+SELECT content FROM test1 WHERE id = <replaceable>constant</replaceable>;
+</programlisting>
+ With no advance preparation, the system would have to scan the entire
+ <structname>test1</structname> table, row by row, to find all
+ matching entries. If there are many rows in
+ <structname>test1</structname> and only a few rows (perhaps zero
+ or one) that would be returned by such a query, this is clearly an
+ inefficient method. But if the system has been instructed to maintain an
+ index on the <structfield>id</structfield> column, it can use a more
+ efficient method for locating matching rows. For instance, it
+ might only have to walk a few levels deep into a search tree.
+ </para>
+
+ <para>
+ A similar approach is used in most non-fiction books: terms and
+ concepts that are frequently looked up by readers are collected in
+ an alphabetic index at the end of the book. The interested reader
+ can scan the index relatively quickly and flip to the appropriate
+ page(s), rather than having to read the entire book to find the
+ material of interest. Just as it is the task of the author to
+ anticipate the items that readers are likely to look up,
+ it is the task of the database programmer to foresee which indexes
+ will be useful.
+ </para>
+
+ <para>
+ The following command can be used to create an index on the
+ <structfield>id</structfield> column, as discussed:
+<programlisting>
+CREATE INDEX test1_id_index ON test1 (id);
+</programlisting>
+ The name <structname>test1_id_index</structname> can be chosen
+ freely, but you should pick something that enables you to remember
+ later what the index was for.
+ </para>
+
+ <para>
+ To remove an index, use the <command>DROP INDEX</command> command.
+ Indexes can be added to and removed from tables at any time.
+ </para>
+
+ <para>
+ Once an index is created, no further intervention is required: the
+ system will update the index when the table is modified, and it will
+ use the index in queries when it thinks doing so would be more efficient
+ than a sequential table scan. But you might have to run the
+ <command>ANALYZE</command> command regularly to update
+ statistics to allow the query planner to make educated decisions.
+ See <xref linkend="performance-tips"/> for information about
+ how to find out whether an index is used and when and why the
+ planner might choose <emphasis>not</emphasis> to use an index.
+ </para>
+
+ <para>
+ Indexes can also benefit <command>UPDATE</command> and
+ <command>DELETE</command> commands with search conditions.
+ Indexes can moreover be used in join searches. Thus,
+ an index defined on a column that is part of a join condition can
+ also significantly speed up queries with joins.
+ </para>
+
+ <para>
+ In general, <productname>PostgreSQL</productname> indexes can be used
+ to optimize queries that contain one or more <literal>WHERE</literal>
+ or <literal>JOIN</literal> clauses of the form
+
+<synopsis>
+<replaceable>indexed-column</replaceable> <replaceable>indexable-operator</replaceable> <replaceable>comparison-value</replaceable>
+</synopsis>
+
+ Here, the <replaceable>indexed-column</replaceable> is whatever
+ column or expression the index has been defined on.
+ The <replaceable>indexable-operator</replaceable> is an operator that
+ is a member of the index's <firstterm>operator class</firstterm> for
+ the indexed column. (More details about that appear below.)
+ And the <replaceable>comparison-value</replaceable> can be any
+ expression that is not volatile and does not reference the index's
+ table.
+ </para>
+
+ <para>
+ In some cases the query planner can extract an indexable clause of
+ this form from another SQL construct. A simple example is that if
+ the original clause was
+
+<synopsis>
+<replaceable>comparison-value</replaceable> <replaceable>operator</replaceable> <replaceable>indexed-column</replaceable>
+</synopsis>
+
+ then it can be flipped around into indexable form if the
+ original <replaceable>operator</replaceable> has a commutator
+ operator that is a member of the index's operator class.
+ </para>
+
+ <para>
+ Creating an index on a large table can take a long time. By default,
+ <productname>PostgreSQL</productname> allows reads (<command>SELECT</command> statements) to occur
+ on the table in parallel with index creation, but writes (<command>INSERT</command>,
+ <command>UPDATE</command>, <command>DELETE</command>) are blocked until the index build is finished.
+ In production environments this is often unacceptable.
+ It is possible to allow writes to occur in parallel with index
+ creation, but there are several caveats to be aware of &mdash;
+ for more information see <xref linkend="sql-createindex-concurrently"/>.
+ </para>
+
+ <para>
+ After an index is created, the system has to keep it synchronized with the
+ table. This adds overhead to data manipulation operations. Indexes can
+ also prevent the creation of <link linkend="storage-hot">heap-only
+ tuples</link>.
+ Therefore indexes that are seldom or never used in queries
+ should be removed.
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-types">
+ <title>Index Types</title>
+
+ <para>
+ <productname>PostgreSQL</productname> provides several index types:
+ B-tree, Hash, GiST, SP-GiST, GIN, BRIN, and the extension <link
+ linkend="bloom">bloom</link>.
+ Each index type uses a different
+ algorithm that is best suited to different types of indexable clauses.
+ By default, the <link linkend="sql-createindex"><command>CREATE
+ INDEX</command></link> command creates
+ B-tree indexes, which fit the most common situations.
+ The other index types are selected by writing the keyword
+ <literal>USING</literal> followed by the index type name.
+ For example, to create a Hash index:
+<programlisting>
+CREATE INDEX <replaceable>name</replaceable> ON <replaceable>table</replaceable> USING HASH (<replaceable>column</replaceable>);
+</programlisting>
+ </para>
+
+ <sect2 id="indexes-types-btree">
+ <title>B-Tree</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>B-Tree</secondary>
+ </indexterm>
+ <indexterm>
+ <primary>B-Tree</primary>
+ <see>index</see>
+ </indexterm>
+
+ <para>
+ B-trees can handle equality and range queries on data that can be sorted
+ into some ordering.
+ In particular, the <productname>PostgreSQL</productname> query planner
+ will consider using a B-tree index whenever an indexed column is
+ involved in a comparison using one of these operators:
+
+<synopsis>
+&lt; &nbsp; &lt;= &nbsp; = &nbsp; &gt;= &nbsp; &gt;
+</synopsis>
+
+ Constructs equivalent to combinations of these operators, such as
+ <literal>BETWEEN</literal> and <literal>IN</literal>, can also be implemented with
+ a B-tree index search. Also, an <literal>IS NULL</literal> or <literal>IS NOT
+ NULL</literal> condition on an index column can be used with a B-tree index.
+ </para>
+
+ <para>
+ The optimizer can also use a B-tree index for queries involving the
+ pattern matching operators <literal>LIKE</literal> and <literal>~</literal>
+ <emphasis>if</emphasis> the pattern is a constant and is anchored to
+ the beginning of the string &mdash; for example, <literal>col LIKE
+ 'foo%'</literal> or <literal>col ~ '^foo'</literal>, but not
+ <literal>col LIKE '%bar'</literal>. However, if your database does not
+ use the C locale you will need to create the index with a special
+ operator class to support indexing of pattern-matching queries; see
+ <xref linkend="indexes-opclass"/> below. It is also possible to use
+ B-tree indexes for <literal>ILIKE</literal> and
+ <literal>~*</literal>, but only if the pattern starts with
+ non-alphabetic characters, i.e., characters that are not affected by
+ upper/lower case conversion.
+ </para>
+
+ <para>
+ B-tree indexes can also be used to retrieve data in sorted order.
+ This is not always faster than a simple scan and sort, but it is
+ often helpful.
+ </para>
+ </sect2>
+
+ <sect2 id="indexes-types-hash">
+ <title>Hash</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>hash</secondary>
+ </indexterm>
+ <indexterm>
+ <primary>hash</primary>
+ <see>index</see>
+ </indexterm>
+
+ <para>
+ Hash indexes store a 32-bit hash code derived from the
+ value of the indexed column. Hence,
+ such indexes can only handle simple equality comparisons.
+ The query planner will consider using a hash index whenever an
+ indexed column is involved in a comparison using the
+ equal operator:
+
+<synopsis>
+=
+</synopsis>
+ </para>
+ </sect2>
+
+ <sect2 id="indexes-type-gist">
+ <title>GiST</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>GiST</secondary>
+ </indexterm>
+ <indexterm>
+ <primary>GiST</primary>
+ <see>index</see>
+ </indexterm>
+
+ <para>
+ GiST indexes are not a single kind of index, but rather an infrastructure
+ within which many different indexing strategies can be implemented.
+ Accordingly, the particular operators with which a GiST index can be
+ used vary depending on the indexing strategy (the <firstterm>operator
+ class</firstterm>). As an example, the standard distribution of
+ <productname>PostgreSQL</productname> includes GiST operator classes
+ for several two-dimensional geometric data types, which support indexed
+ queries using these operators:
+
+<synopsis>
+&lt;&lt; &nbsp; &amp;&lt; &nbsp; &amp;&gt; &nbsp; &gt;&gt; &nbsp; &lt;&lt;| &nbsp; &amp;&lt;| &nbsp; |&amp;&gt; &nbsp; |&gt;&gt; &nbsp; @&gt; &nbsp; &lt;@ &nbsp; ~= &nbsp; &amp;&amp;
+</synopsis>
+
+ (See <xref linkend="functions-geometry"/> for the meaning of
+ these operators.)
+ The GiST operator classes included in the standard distribution are
+ documented in <xref linkend="gist-builtin-opclasses-table"/>.
+ Many other GiST operator
+ classes are available in the <literal>contrib</literal> collection or as separate
+ projects. For more information see <xref linkend="gist"/>.
+ </para>
+
+ <para>
+ GiST indexes are also capable of optimizing <quote>nearest-neighbor</quote>
+ searches, such as
+<programlisting><![CDATA[
+SELECT * FROM places ORDER BY location <-> point '(101,456)' LIMIT 10;
+]]>
+</programlisting>
+ which finds the ten places closest to a given target point. The ability
+ to do this is again dependent on the particular operator class being used.
+ In <xref linkend="gist-builtin-opclasses-table"/>, operators that can be
+ used in this way are listed in the column <quote>Ordering Operators</quote>.
+ </para>
+ </sect2>
+
+ <sect2 id="indexes-type-spgist">
+ <title>SP-GiST</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>SP-GiST</secondary>
+ </indexterm>
+ <indexterm>
+ <primary>SP-GiST</primary>
+ <see>index</see>
+ </indexterm>
+
+ <para>
+ SP-GiST indexes, like GiST indexes, offer an infrastructure that supports
+ various kinds of searches. SP-GiST permits implementation of a wide range
+ of different non-balanced disk-based data structures, such as quadtrees,
+ k-d trees, and radix trees (tries). As an example, the standard distribution of
+ <productname>PostgreSQL</productname> includes SP-GiST operator classes
+ for two-dimensional points, which support indexed
+ queries using these operators:
+
+<synopsis>
+&lt;&lt; &nbsp; &gt;&gt; &nbsp; ~= &nbsp; &lt;@ &nbsp; &lt;&lt;| &nbsp; |&gt;&gt;
+</synopsis>
+
+ (See <xref linkend="functions-geometry"/> for the meaning of
+ these operators.)
+ The SP-GiST operator classes included in the standard distribution are
+ documented in <xref linkend="spgist-builtin-opclasses-table"/>.
+ For more information see <xref linkend="spgist"/>.
+ </para>
+
+ <para>
+ Like GiST, SP-GiST supports <quote>nearest-neighbor</quote> searches.
+ For SP-GiST operator classes that support distance ordering, the
+ corresponding operator is listed in the <quote>Ordering Operators</quote>
+ column in <xref linkend="spgist-builtin-opclasses-table"/>.
+ </para>
+ </sect2>
+
+ <sect2 id="indexes-types-gin">
+ <title>GIN</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>GIN</secondary>
+ </indexterm>
+ <indexterm>
+ <primary>GIN</primary>
+ <see>index</see>
+ </indexterm>
+
+ <para>
+ GIN indexes are <quote>inverted indexes</quote> which are appropriate for
+ data values that contain multiple component values, such as arrays. An
+ inverted index contains a separate entry for each component value, and
+ can efficiently handle queries that test for the presence of specific
+ component values.
+ </para>
+
+ <para>
+ Like GiST and SP-GiST, GIN can support
+ many different user-defined indexing strategies, and the particular
+ operators with which a GIN index can be used vary depending on the
+ indexing strategy.
+ As an example, the standard distribution of
+ <productname>PostgreSQL</productname> includes a GIN operator class
+ for arrays, which supports indexed queries using these operators:
+
+<synopsis>
+&lt;@ &nbsp; @&gt; &nbsp; = &nbsp; &amp;&amp;
+</synopsis>
+
+ (See <xref linkend="functions-array"/> for the meaning of
+ these operators.)
+ The GIN operator classes included in the standard distribution are
+ documented in <xref linkend="gin-builtin-opclasses-table"/>.
+ Many other GIN operator
+ classes are available in the <literal>contrib</literal> collection or as separate
+ projects. For more information see <xref linkend="gin"/>.
+ </para>
+ </sect2>
+
+ <sect2 id="indexes-types-brin">
+ <title>BRIN</title>
+
+ <indexterm>
+ <primary>index</primary>
+ <secondary>BRIN</secondary>
+ </indexterm>
+ <indexterm>
+ <primary>BRIN</primary>
+ <see>index</see>
+ </indexterm>
+
+ <para>
+ BRIN indexes (a shorthand for Block Range INdexes) store summaries about
+ the values stored in consecutive physical block ranges of a table.
+ Thus, they are most effective for columns whose values are well-correlated
+ with the physical order of the table rows.
+ Like GiST, SP-GiST and GIN,
+ BRIN can support many different indexing strategies,
+ and the particular operators with which a BRIN index can be used
+ vary depending on the indexing strategy.
+ For data types that have a linear sort order, the indexed data
+ corresponds to the minimum and maximum values of the
+ values in the column for each block range. This supports indexed queries
+ using these operators:
+
+<synopsis>
+&lt; &nbsp; &lt;= &nbsp; = &nbsp; &gt;= &nbsp; &gt;
+</synopsis>
+
+ The BRIN operator classes included in the standard distribution are
+ documented in <xref linkend="brin-builtin-opclasses-table"/>.
+ For more information see <xref linkend="brin"/>.
+ </para>
+ </sect2>
+ </sect1>
+
+
+ <sect1 id="indexes-multicolumn">
+ <title>Multicolumn Indexes</title>
+
+ <indexterm zone="indexes-multicolumn">
+ <primary>index</primary>
+ <secondary>multicolumn</secondary>
+ </indexterm>
+
+ <para>
+ An index can be defined on more than one column of a table. For example, if
+ you have a table of this form:
+<programlisting>
+CREATE TABLE test2 (
+ major int,
+ minor int,
+ name varchar
+);
+</programlisting>
+ (say, you keep your <filename class="directory">/dev</filename>
+ directory in a database...) and you frequently issue queries like:
+<programlisting>
+SELECT name FROM test2 WHERE major = <replaceable>constant</replaceable> AND minor = <replaceable>constant</replaceable>;
+</programlisting>
+ then it might be appropriate to define an index on the columns
+ <structfield>major</structfield> and
+ <structfield>minor</structfield> together, e.g.:
+<programlisting>
+CREATE INDEX test2_mm_idx ON test2 (major, minor);
+</programlisting>
+ </para>
+
+ <para>
+ Currently, only the B-tree, GiST, GIN, and BRIN index types support
+ multiple-key-column indexes. Whether there can be multiple key
+ columns is independent of whether <literal>INCLUDE</literal> columns
+ can be added to the index. Indexes can have up to 32 columns,
+ including <literal>INCLUDE</literal> columns. (This limit can be
+ altered when building <productname>PostgreSQL</productname>; see the
+ file <filename>pg_config_manual.h</filename>.)
+ </para>
+
+ <para>
+ A multicolumn B-tree index can be used with query conditions that
+ involve any subset of the index's columns, but the index is most
+ efficient when there are constraints on the leading (leftmost) columns.
+ The exact rule is that equality constraints on leading columns, plus
+ any inequality constraints on the first column that does not have an
+ equality constraint, will be used to limit the portion of the index
+ that is scanned. Constraints on columns to the right of these columns
+ are checked in the index, so they save visits to the table proper, but
+ they do not reduce the portion of the index that has to be scanned.
+ For example, given an index on <literal>(a, b, c)</literal> and a
+ query condition <literal>WHERE a = 5 AND b &gt;= 42 AND c &lt; 77</literal>,
+ the index would have to be scanned from the first entry with
+ <literal>a</literal> = 5 and <literal>b</literal> = 42 up through the last entry with
+ <literal>a</literal> = 5. Index entries with <literal>c</literal> &gt;= 77 would be
+ skipped, but they'd still have to be scanned through.
+ This index could in principle be used for queries that have constraints
+ on <literal>b</literal> and/or <literal>c</literal> with no constraint on <literal>a</literal>
+ &mdash; but the entire index would have to be scanned, so in most cases
+ the planner would prefer a sequential table scan over using the index.
+ </para>
+
+ <para>
+ A multicolumn GiST index can be used with query conditions that
+ involve any subset of the index's columns. Conditions on additional
+ columns restrict the entries returned by the index, but the condition on
+ the first column is the most important one for determining how much of
+ the index needs to be scanned. A GiST index will be relatively
+ ineffective if its first column has only a few distinct values, even if
+ there are many distinct values in additional columns.
+ </para>
+
+ <para>
+ A multicolumn GIN index can be used with query conditions that
+ involve any subset of the index's columns. Unlike B-tree or GiST,
+ index search effectiveness is the same regardless of which index column(s)
+ the query conditions use.
+ </para>
+
+ <para>
+ A multicolumn BRIN index can be used with query conditions that
+ involve any subset of the index's columns. Like GIN and unlike B-tree or
+ GiST, index search effectiveness is the same regardless of which index
+ column(s) the query conditions use. The only reason to have multiple BRIN
+ indexes instead of one multicolumn BRIN index on a single table is to have
+ a different <literal>pages_per_range</literal> storage parameter.
+ </para>
+
+ <para>
+ Of course, each column must be used with operators appropriate to the index
+ type; clauses that involve other operators will not be considered.
+ </para>
+
+ <para>
+ Multicolumn indexes should be used sparingly. In most situations,
+ an index on a single column is sufficient and saves space and time.
+ Indexes with more than three columns are unlikely to be helpful
+ unless the usage of the table is extremely stylized. See also
+ <xref linkend="indexes-bitmap-scans"/> and
+ <xref linkend="indexes-index-only-scans"/> for some discussion of the
+ merits of different index configurations.
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-ordering">
+ <title>Indexes and <literal>ORDER BY</literal></title>
+
+ <indexterm zone="indexes-ordering">
+ <primary>index</primary>
+ <secondary>and <literal>ORDER BY</literal></secondary>
+ </indexterm>
+
+ <para>
+ In addition to simply finding the rows to be returned by a query,
+ an index may be able to deliver them in a specific sorted order.
+ This allows a query's <literal>ORDER BY</literal> specification to be honored
+ without a separate sorting step. Of the index types currently
+ supported by <productname>PostgreSQL</productname>, only B-tree
+ can produce sorted output &mdash; the other index types return
+ matching rows in an unspecified, implementation-dependent order.
+ </para>
+
+ <para>
+ The planner will consider satisfying an <literal>ORDER BY</literal> specification
+ either by scanning an available index that matches the specification,
+ or by scanning the table in physical order and doing an explicit
+ sort. For a query that requires scanning a large fraction of the
+ table, an explicit sort is likely to be faster than using an index
+ because it requires
+ less disk I/O due to following a sequential access pattern. Indexes are
+ more useful when only a few rows need be fetched. An important
+ special case is <literal>ORDER BY</literal> in combination with
+ <literal>LIMIT</literal> <replaceable>n</replaceable>: an explicit sort will have to process
+ all the data to identify the first <replaceable>n</replaceable> rows, but if there is
+ an index matching the <literal>ORDER BY</literal>, the first <replaceable>n</replaceable>
+ rows can be retrieved directly, without scanning the remainder at all.
+ </para>
+
+ <para>
+ By default, B-tree indexes store their entries in ascending order
+ with nulls last (table TID is treated as a tiebreaker column among
+ otherwise equal entries). This means that a forward scan of an
+ index on column <literal>x</literal> produces output satisfying <literal>ORDER BY x</literal>
+ (or more verbosely, <literal>ORDER BY x ASC NULLS LAST</literal>). The
+ index can also be scanned backward, producing output satisfying
+ <literal>ORDER BY x DESC</literal>
+ (or more verbosely, <literal>ORDER BY x DESC NULLS FIRST</literal>, since
+ <literal>NULLS FIRST</literal> is the default for <literal>ORDER BY DESC</literal>).
+ </para>
+
+ <para>
+ You can adjust the ordering of a B-tree index by including the
+ options <literal>ASC</literal>, <literal>DESC</literal>, <literal>NULLS FIRST</literal>,
+ and/or <literal>NULLS LAST</literal> when creating the index; for example:
+<programlisting>
+CREATE INDEX test2_info_nulls_low ON test2 (info NULLS FIRST);
+CREATE INDEX test3_desc_index ON test3 (id DESC NULLS LAST);
+</programlisting>
+ An index stored in ascending order with nulls first can satisfy
+ either <literal>ORDER BY x ASC NULLS FIRST</literal> or
+ <literal>ORDER BY x DESC NULLS LAST</literal> depending on which direction
+ it is scanned in.
+ </para>
+
+ <para>
+ You might wonder why bother providing all four options, when two
+ options together with the possibility of backward scan would cover
+ all the variants of <literal>ORDER BY</literal>. In single-column indexes
+ the options are indeed redundant, but in multicolumn indexes they can be
+ useful. Consider a two-column index on <literal>(x, y)</literal>: this can
+ satisfy <literal>ORDER BY x, y</literal> if we scan forward, or
+ <literal>ORDER BY x DESC, y DESC</literal> if we scan backward.
+ But it might be that the application frequently needs to use
+ <literal>ORDER BY x ASC, y DESC</literal>. There is no way to get that
+ ordering from a plain index, but it is possible if the index is defined
+ as <literal>(x ASC, y DESC)</literal> or <literal>(x DESC, y ASC)</literal>.
+ </para>
+
+ <para>
+ Obviously, indexes with non-default sort orderings are a fairly
+ specialized feature, but sometimes they can produce tremendous
+ speedups for certain queries. Whether it's worth maintaining such an
+ index depends on how often you use queries that require a special
+ sort ordering.
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-bitmap-scans">
+ <title>Combining Multiple Indexes</title>
+
+ <indexterm zone="indexes-bitmap-scans">
+ <primary>index</primary>
+ <secondary>combining multiple indexes</secondary>
+ </indexterm>
+
+ <indexterm zone="indexes-bitmap-scans">
+ <primary>bitmap scan</primary>
+ </indexterm>
+
+ <para>
+ A single index scan can only use query clauses that use the index's
+ columns with operators of its operator class and are joined with
+ <literal>AND</literal>. For example, given an index on <literal>(a, b)</literal>
+ a query condition like <literal>WHERE a = 5 AND b = 6</literal> could
+ use the index, but a query like <literal>WHERE a = 5 OR b = 6</literal> could not
+ directly use the index.
+ </para>
+
+ <para>
+ Fortunately,
+ <productname>PostgreSQL</productname> has the ability to combine multiple indexes
+ (including multiple uses of the same index) to handle cases that cannot
+ be implemented by single index scans. The system can form <literal>AND</literal>
+ and <literal>OR</literal> conditions across several index scans. For example,
+ a query like <literal>WHERE x = 42 OR x = 47 OR x = 53 OR x = 99</literal>
+ could be broken down into four separate scans of an index on <literal>x</literal>,
+ each scan using one of the query clauses. The results of these scans are
+ then ORed together to produce the result. Another example is that if we
+ have separate indexes on <literal>x</literal> and <literal>y</literal>, one possible
+ implementation of a query like <literal>WHERE x = 5 AND y = 6</literal> is to
+ use each index with the appropriate query clause and then AND together
+ the index results to identify the result rows.
+ </para>
+
+ <para>
+ To combine multiple indexes, the system scans each needed index and
+ prepares a <firstterm>bitmap</firstterm> in memory giving the locations of
+ table rows that are reported as matching that index's conditions.
+ The bitmaps are then ANDed and ORed together as needed by the query.
+ Finally, the actual table rows are visited and returned. The table rows
+ are visited in physical order, because that is how the bitmap is laid
+ out; this means that any ordering of the original indexes is lost, and
+ so a separate sort step will be needed if the query has an <literal>ORDER
+ BY</literal> clause. For this reason, and because each additional index scan
+ adds extra time, the planner will sometimes choose to use a simple index
+ scan even though additional indexes are available that could have been
+ used as well.
+ </para>
+
+ <para>
+ In all but the simplest applications, there are various combinations of
+ indexes that might be useful, and the database developer must make
+ trade-offs to decide which indexes to provide. Sometimes multicolumn
+ indexes are best, but sometimes it's better to create separate indexes
+ and rely on the index-combination feature. For example, if your
+ workload includes a mix of queries that sometimes involve only column
+ <literal>x</literal>, sometimes only column <literal>y</literal>, and sometimes both
+ columns, you might choose to create two separate indexes on
+ <literal>x</literal> and <literal>y</literal>, relying on index combination to
+ process the queries that use both columns. You could also create a
+ multicolumn index on <literal>(x, y)</literal>. This index would typically be
+ more efficient than index combination for queries involving both
+ columns, but as discussed in <xref linkend="indexes-multicolumn"/>, it
+ would be almost useless for queries involving only <literal>y</literal>, so it
+ should not be the only index. A combination of the multicolumn index
+ and a separate index on <literal>y</literal> would serve reasonably well. For
+ queries involving only <literal>x</literal>, the multicolumn index could be
+ used, though it would be larger and hence slower than an index on
+ <literal>x</literal> alone. The last alternative is to create all three
+ indexes, but this is probably only reasonable if the table is searched
+ much more often than it is updated and all three types of query are
+ common. If one of the types of query is much less common than the
+ others, you'd probably settle for creating just the two indexes that
+ best match the common types.
+ </para>
+
+ </sect1>
+
+
+ <sect1 id="indexes-unique">
+ <title>Unique Indexes</title>
+
+ <indexterm zone="indexes-unique">
+ <primary>index</primary>
+ <secondary>unique</secondary>
+ </indexterm>
+
+ <para>
+ Indexes can also be used to enforce uniqueness of a column's value,
+ or the uniqueness of the combined values of more than one column.
+<synopsis>
+CREATE UNIQUE INDEX <replaceable>name</replaceable> ON <replaceable>table</replaceable> (<replaceable>column</replaceable> <optional>, ...</optional>) <optional> NULLS <optional> NOT </optional> DISTINCT </optional>;
+</synopsis>
+ Currently, only B-tree indexes can be declared unique.
+ </para>
+
+ <para>
+ When an index is declared unique, multiple table rows with equal
+ indexed values are not allowed. By default, null values in a unique column
+ are not considered equal, allowing multiple nulls in the column. The
+ <literal>NULLS NOT DISTINCT</literal> option modifies this and causes the
+ index to treat nulls as equal. A multicolumn unique index will only reject
+ cases where all indexed columns are equal in multiple rows.
+ </para>
+
+ <para>
+ <productname>PostgreSQL</productname> automatically creates a unique
+ index when a unique constraint or primary key is defined for a table.
+ The index covers the columns that make up the primary key or unique
+ constraint (a multicolumn index, if appropriate), and is the mechanism
+ that enforces the constraint.
+ </para>
+
+ <note>
+ <para>
+ There's no need to manually
+ create indexes on unique columns; doing so would just duplicate
+ the automatically-created index.
+ </para>
+ </note>
+ </sect1>
+
+
+ <sect1 id="indexes-expressional">
+ <title>Indexes on Expressions</title>
+
+ <indexterm zone="indexes-expressional">
+ <primary>index</primary>
+ <secondary sortas="expressions">on expressions</secondary>
+ </indexterm>
+
+ <para>
+ An index column need not be just a column of the underlying table,
+ but can be a function or scalar expression computed from one or
+ more columns of the table. This feature is useful to obtain fast
+ access to tables based on the results of computations.
+ </para>
+
+ <para>
+ For example, a common way to do case-insensitive comparisons is to
+ use the <function>lower</function> function:
+<programlisting>
+SELECT * FROM test1 WHERE lower(col1) = 'value';
+</programlisting>
+ This query can use an index if one has been
+ defined on the result of the <literal>lower(col1)</literal>
+ function:
+<programlisting>
+CREATE INDEX test1_lower_col1_idx ON test1 (lower(col1));
+</programlisting>
+ </para>
+
+ <para>
+ If we were to declare this index <literal>UNIQUE</literal>, it would prevent
+ creation of rows whose <literal>col1</literal> values differ only in case,
+ as well as rows whose <literal>col1</literal> values are actually identical.
+ Thus, indexes on expressions can be used to enforce constraints that
+ are not definable as simple unique constraints.
+ </para>
+
+ <para>
+ As another example, if one often does queries like:
+<programlisting>
+SELECT * FROM people WHERE (first_name || ' ' || last_name) = 'John Smith';
+</programlisting>
+ then it might be worth creating an index like this:
+<programlisting>
+CREATE INDEX people_names ON people ((first_name || ' ' || last_name));
+</programlisting>
+ </para>
+
+ <para>
+ The syntax of the <command>CREATE INDEX</command> command normally requires
+ writing parentheses around index expressions, as shown in the second
+ example. The parentheses can be omitted when the expression is just
+ a function call, as in the first example.
+ </para>
+
+ <para>
+ Index expressions are relatively expensive to maintain, because the
+ derived expression(s) must be computed for each row insertion
+ and <link linkend="storage-hot">non-HOT update.</link> However, the index expressions are
+ <emphasis>not</emphasis> recomputed during an indexed search, since they are
+ already stored in the index. In both examples above, the system
+ sees the query as just <literal>WHERE indexedcolumn = 'constant'</literal>
+ and so the speed of the search is equivalent to any other simple index
+ query. Thus, indexes on expressions are useful when retrieval speed
+ is more important than insertion and update speed.
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-partial">
+ <title>Partial Indexes</title>
+
+ <indexterm zone="indexes-partial">
+ <primary>index</primary>
+ <secondary>partial</secondary>
+ </indexterm>
+
+ <para>
+ A <firstterm>partial index</firstterm> is an index built over a
+ subset of a table; the subset is defined by a conditional
+ expression (called the <firstterm>predicate</firstterm> of the
+ partial index). The index contains entries only for those table
+ rows that satisfy the predicate. Partial indexes are a specialized
+ feature, but there are several situations in which they are useful.
+ </para>
+
+ <para>
+ One major reason for using a partial index is to avoid indexing common
+ values. Since a query searching for a common value (one that
+ accounts for more than a few percent of all the table rows) will not
+ use the index anyway, there is no point in keeping those rows in the
+ index at all. This reduces the size of the index, which will speed
+ up those queries that do use the index. It will also speed up many table
+ update operations because the index does not need to be
+ updated in all cases. <xref linkend="indexes-partial-ex1"/> shows a
+ possible application of this idea.
+ </para>
+
+ <example id="indexes-partial-ex1">
+ <title>Setting up a Partial Index to Exclude Common Values</title>
+
+ <para>
+ Suppose you are storing web server access logs in a database.
+ Most accesses originate from the IP address range of your organization but
+ some are from elsewhere (say, employees on dial-up connections).
+ If your searches by IP are primarily for outside accesses,
+ you probably do not need to index the IP range that corresponds to your
+ organization's subnet.
+ </para>
+
+ <para>
+ Assume a table like this:
+<programlisting>
+CREATE TABLE access_log (
+ url varchar,
+ client_ip inet,
+ ...
+);
+</programlisting>
+ </para>
+
+ <para>
+ To create a partial index that suits our example, use a command
+ such as this:
+<programlisting>
+CREATE INDEX access_log_client_ip_ix ON access_log (client_ip)
+WHERE NOT (client_ip &gt; inet '192.168.100.0' AND
+ client_ip &lt; inet '192.168.100.255');
+</programlisting>
+ </para>
+
+ <para>
+ A typical query that can use this index would be:
+<programlisting>
+SELECT *
+FROM access_log
+WHERE url = '/index.html' AND client_ip = inet '212.78.10.32';
+</programlisting>
+ Here the query's IP address is covered by the partial index. The
+ following query cannot use the partial index, as it uses an IP address
+ that is excluded from the index:
+<programlisting>
+SELECT *
+FROM access_log
+WHERE url = '/index.html' AND client_ip = inet '192.168.100.23';
+</programlisting>
+ </para>
+
+ <para>
+ Observe that this kind of partial index requires that the common
+ values be predetermined, so such partial indexes are best used for
+ data distributions that do not change. Such indexes can be recreated
+ occasionally to adjust for new data distributions, but this adds
+ maintenance effort.
+ </para>
+ </example>
+
+ <para>
+ Another possible use for a partial index is to exclude values from the
+ index that the
+ typical query workload is not interested in; this is shown in <xref
+ linkend="indexes-partial-ex2"/>. This results in the same
+ advantages as listed above, but it prevents the
+ <quote>uninteresting</quote> values from being accessed via that
+ index, even if an index scan might be profitable in that
+ case. Obviously, setting up partial indexes for this kind of
+ scenario will require a lot of care and experimentation.
+ </para>
+
+ <example id="indexes-partial-ex2">
+ <title>Setting up a Partial Index to Exclude Uninteresting Values</title>
+
+ <para>
+ If you have a table that contains both billed and unbilled orders,
+ where the unbilled orders take up a small fraction of the total
+ table and yet those are the most-accessed rows, you can improve
+ performance by creating an index on just the unbilled rows. The
+ command to create the index would look like this:
+<programlisting>
+CREATE INDEX orders_unbilled_index ON orders (order_nr)
+ WHERE billed is not true;
+</programlisting>
+ </para>
+
+ <para>
+ A possible query to use this index would be:
+<programlisting>
+SELECT * FROM orders WHERE billed is not true AND order_nr &lt; 10000;
+</programlisting>
+ However, the index can also be used in queries that do not involve
+ <structfield>order_nr</structfield> at all, e.g.:
+<programlisting>
+SELECT * FROM orders WHERE billed is not true AND amount &gt; 5000.00;
+</programlisting>
+ This is not as efficient as a partial index on the
+ <structfield>amount</structfield> column would be, since the system has to
+ scan the entire index. Yet, if there are relatively few unbilled
+ orders, using this partial index just to find the unbilled orders
+ could be a win.
+ </para>
+
+ <para>
+ Note that this query cannot use this index:
+<programlisting>
+SELECT * FROM orders WHERE order_nr = 3501;
+</programlisting>
+ The order 3501 might be among the billed or unbilled
+ orders.
+ </para>
+ </example>
+
+ <para>
+ <xref linkend="indexes-partial-ex2"/> also illustrates that the
+ indexed column and the column used in the predicate do not need to
+ match. <productname>PostgreSQL</productname> supports partial
+ indexes with arbitrary predicates, so long as only columns of the
+ table being indexed are involved. However, keep in mind that the
+ predicate must match the conditions used in the queries that
+ are supposed to benefit from the index. To be precise, a partial
+ index can be used in a query only if the system can recognize that
+ the <literal>WHERE</literal> condition of the query mathematically implies
+ the predicate of the index.
+ <productname>PostgreSQL</productname> does not have a sophisticated
+ theorem prover that can recognize mathematically equivalent
+ expressions that are written in different forms. (Not
+ only is such a general theorem prover extremely difficult to
+ create, it would probably be too slow to be of any real use.)
+ The system can recognize simple inequality implications, for example
+ <quote>x &lt; 1</quote> implies <quote>x &lt; 2</quote>; otherwise
+ the predicate condition must exactly match part of the query's
+ <literal>WHERE</literal> condition
+ or the index will not be recognized as usable. Matching takes
+ place at query planning time, not at run time. As a result,
+ parameterized query clauses do not work with a partial index. For
+ example a prepared query with a parameter might specify
+ <quote>x &lt; ?</quote> which will never imply
+ <quote>x &lt; 2</quote> for all possible values of the parameter.
+ </para>
+
+ <para>
+ A third possible use for partial indexes does not require the
+ index to be used in queries at all. The idea here is to create
+ a unique index over a subset of a table, as in <xref
+ linkend="indexes-partial-ex3"/>. This enforces uniqueness
+ among the rows that satisfy the index predicate, without constraining
+ those that do not.
+ </para>
+
+ <example id="indexes-partial-ex3">
+ <title>Setting up a Partial Unique Index</title>
+
+ <para>
+ Suppose that we have a table describing test outcomes. We wish
+ to ensure that there is only one <quote>successful</quote> entry for
+ a given subject and target combination, but there might be any number of
+ <quote>unsuccessful</quote> entries. Here is one way to do it:
+<programlisting>
+CREATE TABLE tests (
+ subject text,
+ target text,
+ success boolean,
+ ...
+);
+
+CREATE UNIQUE INDEX tests_success_constraint ON tests (subject, target)
+ WHERE success;
+</programlisting>
+ This is a particularly efficient approach when there are few
+ successful tests and many unsuccessful ones. It is also possible to
+ allow only one null in a column by creating a unique partial index
+ with an <literal>IS NULL</literal> restriction.
+ </para>
+
+ </example>
+
+ <para>
+ Finally, a partial index can also be used to override the system's
+ query plan choices. Also, data sets with peculiar
+ distributions might cause the system to use an index when it really
+ should not. In that case the index can be set up so that it is not
+ available for the offending query. Normally,
+ <productname>PostgreSQL</productname> makes reasonable choices about index
+ usage (e.g., it avoids them when retrieving common values, so the
+ earlier example really only saves index size, it is not required to
+ avoid index usage), and grossly incorrect plan choices are cause
+ for a bug report.
+ </para>
+
+ <para>
+ Keep in mind that setting up a partial index indicates that you
+ know at least as much as the query planner knows, in particular you
+ know when an index might be profitable. Forming this knowledge
+ requires experience and understanding of how indexes in
+ <productname>PostgreSQL</productname> work. In most cases, the
+ advantage of a partial index over a regular index will be minimal.
+ There are cases where they are quite counterproductive, as in <xref
+ linkend="indexes-partial-ex4"/>.
+ </para>
+
+ <example id="indexes-partial-ex4">
+ <title>Do Not Use Partial Indexes as a Substitute for Partitioning</title>
+
+ <para>
+ You might be tempted to create a large set of non-overlapping partial
+ indexes, for example
+
+<programlisting>
+CREATE INDEX mytable_cat_1 ON mytable (data) WHERE category = 1;
+CREATE INDEX mytable_cat_2 ON mytable (data) WHERE category = 2;
+CREATE INDEX mytable_cat_3 ON mytable (data) WHERE category = 3;
+...
+CREATE INDEX mytable_cat_<replaceable>N</replaceable> ON mytable (data) WHERE category = <replaceable>N</replaceable>;
+</programlisting>
+
+ This is a bad idea! Almost certainly, you'll be better off with a
+ single non-partial index, declared like
+
+<programlisting>
+CREATE INDEX mytable_cat_data ON mytable (category, data);
+</programlisting>
+
+ (Put the category column first, for the reasons described in
+ <xref linkend="indexes-multicolumn"/>.) While a search in this larger
+ index might have to descend through a couple more tree levels than a
+ search in a smaller index, that's almost certainly going to be cheaper
+ than the planner effort needed to select the appropriate one of the
+ partial indexes. The core of the problem is that the system does not
+ understand the relationship among the partial indexes, and will
+ laboriously test each one to see if it's applicable to the current
+ query.
+ </para>
+
+ <para>
+ If your table is large enough that a single index really is a bad idea,
+ you should look into using partitioning instead (see
+ <xref linkend="ddl-partitioning"/>). With that mechanism, the system
+ does understand that the tables and indexes are non-overlapping, so
+ far better performance is possible.
+ </para>
+ </example>
+
+ <para>
+ More information about partial indexes can be found in <xref
+ linkend="ston89b"/>, <xref linkend="olson93"/>, and <xref
+ linkend="seshadri95"/>.
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-index-only-scans">
+ <title>Index-Only Scans and Covering Indexes</title>
+
+ <indexterm zone="indexes-index-only-scans">
+ <primary>index</primary>
+ <secondary>index-only scans</secondary>
+ </indexterm>
+ <indexterm zone="indexes-index-only-scans">
+ <primary>index-only scan</primary>
+ </indexterm>
+ <indexterm zone="indexes-index-only-scans">
+ <primary>index</primary>
+ <secondary>covering</secondary>
+ </indexterm>
+ <indexterm zone="indexes-index-only-scans">
+ <primary>covering index</primary>
+ </indexterm>
+
+ <para>
+ All indexes in <productname>PostgreSQL</productname>
+ are <firstterm>secondary</firstterm> indexes, meaning that each index is
+ stored separately from the table's main data area (which is called the
+ table's <firstterm>heap</firstterm>
+ in <productname>PostgreSQL</productname> terminology). This means that
+ in an ordinary index scan, each row retrieval requires fetching data from
+ both the index and the heap. Furthermore, while the index entries that
+ match a given indexable <literal>WHERE</literal> condition are usually
+ close together in the index, the table rows they reference might be
+ anywhere in the heap. The heap-access portion of an index scan thus
+ involves a lot of random access into the heap, which can be slow,
+ particularly on traditional rotating media. (As described in
+ <xref linkend="indexes-bitmap-scans"/>, bitmap scans try to alleviate
+ this cost by doing the heap accesses in sorted order, but that only goes
+ so far.)
+ </para>
+
+ <para>
+ To solve this performance problem, <productname>PostgreSQL</productname>
+ supports <firstterm>index-only scans</firstterm>, which can answer
+ queries from an index alone without any heap access. The basic idea is
+ to return values directly out of each index entry instead of consulting
+ the associated heap entry. There are two fundamental restrictions on
+ when this method can be used:
+
+ <orderedlist>
+ <listitem>
+ <para>
+ The index type must support index-only scans. B-tree indexes always
+ do. GiST and SP-GiST indexes support index-only scans for some
+ operator classes but not others. Other index types have no support.
+ The underlying requirement is that the index must physically store, or
+ else be able to reconstruct, the original data value for each index
+ entry. As a counterexample, GIN indexes cannot support index-only
+ scans because each index entry typically holds only part of the
+ original data value.
+ </para>
+ </listitem>
+
+ <listitem>
+ <para>
+ The query must reference only columns stored in the index. For
+ example, given an index on columns <literal>x</literal>
+ and <literal>y</literal> of a table that also has a
+ column <literal>z</literal>, these queries could use index-only scans:
+<programlisting>
+SELECT x, y FROM tab WHERE x = 'key';
+SELECT x FROM tab WHERE x = 'key' AND y &lt; 42;
+</programlisting>
+ but these queries could not:
+<programlisting>
+SELECT x, z FROM tab WHERE x = 'key';
+SELECT x FROM tab WHERE x = 'key' AND z &lt; 42;
+</programlisting>
+ (Expression indexes and partial indexes complicate this rule,
+ as discussed below.)
+ </para>
+ </listitem>
+ </orderedlist>
+ </para>
+
+ <para>
+ If these two fundamental requirements are met, then all the data values
+ required by the query are available from the index, so an index-only scan
+ is physically possible. But there is an additional requirement for any
+ table scan in <productname>PostgreSQL</productname>: it must verify that
+ each retrieved row be <quote>visible</quote> to the query's MVCC
+ snapshot, as discussed in <xref linkend="mvcc"/>. Visibility information
+ is not stored in index entries, only in heap entries; so at first glance
+ it would seem that every row retrieval would require a heap access
+ anyway. And this is indeed the case, if the table row has been modified
+ recently. However, for seldom-changing data there is a way around this
+ problem. <productname>PostgreSQL</productname> tracks, for each page in
+ a table's heap, whether all rows stored in that page are old enough to be
+ visible to all current and future transactions. This information is
+ stored in a bit in the table's <firstterm>visibility map</firstterm>. An
+ index-only scan, after finding a candidate index entry, checks the
+ visibility map bit for the corresponding heap page. If it's set, the row
+ is known visible and so the data can be returned with no further work.
+ If it's not set, the heap entry must be visited to find out whether it's
+ visible, so no performance advantage is gained over a standard index
+ scan. Even in the successful case, this approach trades visibility map
+ accesses for heap accesses; but since the visibility map is four orders
+ of magnitude smaller than the heap it describes, far less physical I/O is
+ needed to access it. In most situations the visibility map remains
+ cached in memory all the time.
+ </para>
+
+ <para>
+ In short, while an index-only scan is possible given the two fundamental
+ requirements, it will be a win only if a significant fraction of the
+ table's heap pages have their all-visible map bits set. But tables in
+ which a large fraction of the rows are unchanging are common enough to
+ make this type of scan very useful in practice.
+ </para>
+
+ <para>
+ <indexterm>
+ <primary><literal>INCLUDE</literal></primary>
+ <secondary>in index definitions</secondary>
+ </indexterm>
+ To make effective use of the index-only scan feature, you might choose to
+ create a <firstterm>covering index</firstterm>, which is an index
+ specifically designed to include the columns needed by a particular
+ type of query that you run frequently. Since queries typically need to
+ retrieve more columns than just the ones they search
+ on, <productname>PostgreSQL</productname> allows you to create an index
+ in which some columns are just <quote>payload</quote> and are not part
+ of the search key. This is done by adding an <literal>INCLUDE</literal>
+ clause listing the extra columns. For example, if you commonly run
+ queries like
+<programlisting>
+SELECT y FROM tab WHERE x = 'key';
+</programlisting>
+ the traditional approach to speeding up such queries would be to create
+ an index on <literal>x</literal> only. However, an index defined as
+<programlisting>
+CREATE INDEX tab_x_y ON tab(x) INCLUDE (y);
+</programlisting>
+ could handle these queries as index-only scans,
+ because <literal>y</literal> can be obtained from the index without
+ visiting the heap.
+ </para>
+
+ <para>
+ Because column <literal>y</literal> is not part of the index's search
+ key, it does not have to be of a data type that the index can handle;
+ it's merely stored in the index and is not interpreted by the index
+ machinery. Also, if the index is a unique index, that is
+<programlisting>
+CREATE UNIQUE INDEX tab_x_y ON tab(x) INCLUDE (y);
+</programlisting>
+ the uniqueness condition applies to just column <literal>x</literal>,
+ not to the combination of <literal>x</literal> and <literal>y</literal>.
+ (An <literal>INCLUDE</literal> clause can also be written
+ in <literal>UNIQUE</literal> and <literal>PRIMARY KEY</literal>
+ constraints, providing alternative syntax for setting up an index like
+ this.)
+ </para>
+
+ <para>
+ It's wise to be conservative about adding non-key payload columns to an
+ index, especially wide columns. If an index tuple exceeds the
+ maximum size allowed for the index type, data insertion will fail.
+ In any case, non-key columns duplicate data from the index's table
+ and bloat the size of the index, thus potentially slowing searches.
+ And remember that there is little point in including payload columns in an
+ index unless the table changes slowly enough that an index-only scan is
+ likely to not need to access the heap. If the heap tuple must be visited
+ anyway, it costs nothing more to get the column's value from there.
+ Other restrictions are that expressions are not currently supported as
+ included columns, and that only B-tree, GiST and SP-GiST indexes currently
+ support included columns.
+ </para>
+
+ <para>
+ Before <productname>PostgreSQL</productname> had
+ the <literal>INCLUDE</literal> feature, people sometimes made covering
+ indexes by writing the payload columns as ordinary index columns,
+ that is writing
+<programlisting>
+CREATE INDEX tab_x_y ON tab(x, y);
+</programlisting>
+ even though they had no intention of ever using <literal>y</literal> as
+ part of a <literal>WHERE</literal> clause. This works fine as long as
+ the extra columns are trailing columns; making them be leading columns is
+ unwise for the reasons explained in <xref linkend="indexes-multicolumn"/>.
+ However, this method doesn't support the case where you want the index to
+ enforce uniqueness on the key column(s).
+ </para>
+
+ <para>
+ <firstterm>Suffix truncation</firstterm> always removes non-key
+ columns from upper B-Tree levels. As payload columns, they are
+ never used to guide index scans. The truncation process also
+ removes one or more trailing key column(s) when the remaining
+ prefix of key column(s) happens to be sufficient to describe tuples
+ on the lowest B-Tree level. In practice, covering indexes without
+ an <literal>INCLUDE</literal> clause often avoid storing columns
+ that are effectively payload in the upper levels. However,
+ explicitly defining payload columns as non-key columns
+ <emphasis>reliably</emphasis> keeps the tuples in upper levels
+ small.
+ </para>
+
+ <para>
+ In principle, index-only scans can be used with expression indexes.
+ For example, given an index on <literal>f(x)</literal>
+ where <literal>x</literal> is a table column, it should be possible to
+ execute
+<programlisting>
+SELECT f(x) FROM tab WHERE f(x) &lt; 1;
+</programlisting>
+ as an index-only scan; and this is very attractive
+ if <literal>f()</literal> is an expensive-to-compute function.
+ However, <productname>PostgreSQL</productname>'s planner is currently not
+ very smart about such cases. It considers a query to be potentially
+ executable by index-only scan only when all <emphasis>columns</emphasis>
+ needed by the query are available from the index. In this
+ example, <literal>x</literal> is not needed except in the
+ context <literal>f(x)</literal>, but the planner does not notice that and
+ concludes that an index-only scan is not possible. If an index-only scan
+ seems sufficiently worthwhile, this can be worked around by
+ adding <literal>x</literal> as an included column, for example
+<programlisting>
+CREATE INDEX tab_f_x ON tab (f(x)) INCLUDE (x);
+</programlisting>
+ An additional caveat, if the goal is to avoid
+ recalculating <literal>f(x)</literal>, is that the planner won't
+ necessarily match uses of <literal>f(x)</literal> that aren't in
+ indexable <literal>WHERE</literal> clauses to the index column. It will
+ usually get this right in simple queries such as shown above, but not in
+ queries that involve joins. These deficiencies may be remedied in future
+ versions of <productname>PostgreSQL</productname>.
+ </para>
+
+ <para>
+ Partial indexes also have interesting interactions with index-only scans.
+ Consider the partial index shown in <xref linkend="indexes-partial-ex3"/>:
+<programlisting>
+CREATE UNIQUE INDEX tests_success_constraint ON tests (subject, target)
+ WHERE success;
+</programlisting>
+ In principle, we could do an index-only scan on this index to satisfy a
+ query like
+<programlisting>
+SELECT target FROM tests WHERE subject = 'some-subject' AND success;
+</programlisting>
+ But there's a problem: the <literal>WHERE</literal> clause refers
+ to <literal>success</literal> which is not available as a result column
+ of the index. Nonetheless, an index-only scan is possible because the
+ plan does not need to recheck that part of the <literal>WHERE</literal>
+ clause at run time: all entries found in the index necessarily
+ have <literal>success = true</literal> so this need not be explicitly
+ checked in the plan. <productname>PostgreSQL</productname> versions 9.6
+ and later will recognize such cases and allow index-only scans to be
+ generated, but older versions will not.
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-opclass">
+ <title>Operator Classes and Operator Families</title>
+
+ <indexterm zone="indexes-opclass">
+ <primary>operator class</primary>
+ </indexterm>
+
+ <indexterm zone="indexes-opclass">
+ <primary>operator family</primary>
+ </indexterm>
+
+ <para>
+ An index definition can specify an <firstterm>operator
+ class</firstterm> for each column of an index.
+<synopsis>
+CREATE INDEX <replaceable>name</replaceable> ON <replaceable>table</replaceable> (<replaceable>column</replaceable> <replaceable>opclass</replaceable> [ ( <replaceable>opclass_options</replaceable> ) ] <optional><replaceable>sort options</replaceable></optional> <optional>, ...</optional>);
+</synopsis>
+ The operator class identifies the operators to be used by the index
+ for that column. For example, a B-tree index on the type <type>int4</type>
+ would use the <literal>int4_ops</literal> class; this operator
+ class includes comparison functions for values of type <type>int4</type>.
+ In practice the default operator class for the column's data type is
+ usually sufficient. The main reason for having operator classes is
+ that for some data types, there could be more than one meaningful
+ index behavior. For example, we might want to sort a complex-number data
+ type either by absolute value or by real part. We could do this by
+ defining two operator classes for the data type and then selecting
+ the proper class when making an index. The operator class determines
+ the basic sort ordering (which can then be modified by adding sort options
+ <literal>COLLATE</literal>,
+ <literal>ASC</literal>/<literal>DESC</literal> and/or
+ <literal>NULLS FIRST</literal>/<literal>NULLS LAST</literal>).
+ </para>
+
+ <para>
+ There are also some built-in operator classes besides the default ones:
+
+ <itemizedlist>
+ <listitem>
+ <para>
+ The operator classes <literal>text_pattern_ops</literal>,
+ <literal>varchar_pattern_ops</literal>, and
+ <literal>bpchar_pattern_ops</literal> support B-tree indexes on
+ the types <type>text</type>, <type>varchar</type>, and
+ <type>char</type> respectively. The
+ difference from the default operator classes is that the values
+ are compared strictly character by character rather than
+ according to the locale-specific collation rules. This makes
+ these operator classes suitable for use by queries involving
+ pattern matching expressions (<literal>LIKE</literal> or POSIX
+ regular expressions) when the database does not use the standard
+ <quote>C</quote> locale. As an example, you might index a
+ <type>varchar</type> column like this:
+<programlisting>
+CREATE INDEX test_index ON test_table (col varchar_pattern_ops);
+</programlisting>
+ Note that you should also create an index with the default operator
+ class if you want queries involving ordinary <literal>&lt;</literal>,
+ <literal>&lt;=</literal>, <literal>&gt;</literal>, or <literal>&gt;=</literal> comparisons
+ to use an index. Such queries cannot use the
+ <literal><replaceable>xxx</replaceable>_pattern_ops</literal>
+ operator classes. (Ordinary equality comparisons can use these
+ operator classes, however.) It is possible to create multiple
+ indexes on the same column with different operator classes.
+ If you do use the C locale, you do not need the
+ <literal><replaceable>xxx</replaceable>_pattern_ops</literal>
+ operator classes, because an index with the default operator class
+ is usable for pattern-matching queries in the C locale.
+ </para>
+ </listitem>
+ </itemizedlist>
+ </para>
+
+ <para>
+ The following query shows all defined operator classes:
+
+<programlisting>
+SELECT am.amname AS index_method,
+ opc.opcname AS opclass_name,
+ opc.opcintype::regtype AS indexed_type,
+ opc.opcdefault AS is_default
+ FROM pg_am am, pg_opclass opc
+ WHERE opc.opcmethod = am.oid
+ ORDER BY index_method, opclass_name;
+</programlisting>
+ </para>
+
+ <para>
+ An operator class is actually just a subset of a larger structure called an
+ <firstterm>operator family</firstterm>. In cases where several data types have
+ similar behaviors, it is frequently useful to define cross-data-type
+ operators and allow these to work with indexes. To do this, the operator
+ classes for each of the types must be grouped into the same operator
+ family. The cross-type operators are members of the family, but are not
+ associated with any single class within the family.
+ </para>
+
+ <para>
+ This expanded version of the previous query shows the operator family
+ each operator class belongs to:
+<programlisting>
+SELECT am.amname AS index_method,
+ opc.opcname AS opclass_name,
+ opf.opfname AS opfamily_name,
+ opc.opcintype::regtype AS indexed_type,
+ opc.opcdefault AS is_default
+ FROM pg_am am, pg_opclass opc, pg_opfamily opf
+ WHERE opc.opcmethod = am.oid AND
+ opc.opcfamily = opf.oid
+ ORDER BY index_method, opclass_name;
+</programlisting>
+ </para>
+
+ <para>
+ This query shows all defined operator families and all
+ the operators included in each family:
+<programlisting>
+SELECT am.amname AS index_method,
+ opf.opfname AS opfamily_name,
+ amop.amopopr::regoperator AS opfamily_operator
+ FROM pg_am am, pg_opfamily opf, pg_amop amop
+ WHERE opf.opfmethod = am.oid AND
+ amop.amopfamily = opf.oid
+ ORDER BY index_method, opfamily_name, opfamily_operator;
+</programlisting>
+ </para>
+
+ <tip>
+ <para>
+ <xref linkend="app-psql"/> has
+ commands <command>\dAc</command>, <command>\dAf</command>,
+ and <command>\dAo</command>, which provide slightly more sophisticated
+ versions of these queries.
+ </para>
+ </tip>
+ </sect1>
+
+
+ <sect1 id="indexes-collations">
+ <title>Indexes and Collations</title>
+
+ <para>
+ An index can support only one collation per index column.
+ If multiple collations are of interest, multiple indexes may be needed.
+ </para>
+
+ <para>
+ Consider these statements:
+<programlisting>
+CREATE TABLE test1c (
+ id integer,
+ content varchar COLLATE "x"
+);
+
+CREATE INDEX test1c_content_index ON test1c (content);
+</programlisting>
+ The index automatically uses the collation of the
+ underlying column. So a query of the form
+<programlisting>
+SELECT * FROM test1c WHERE content &gt; <replaceable>constant</replaceable>;
+</programlisting>
+ could use the index, because the comparison will by default use the
+ collation of the column. However, this index cannot accelerate queries
+ that involve some other collation. So if queries of the form, say,
+<programlisting>
+SELECT * FROM test1c WHERE content &gt; <replaceable>constant</replaceable> COLLATE "y";
+</programlisting>
+ are also of interest, an additional index could be created that supports
+ the <literal>"y"</literal> collation, like this:
+<programlisting>
+CREATE INDEX test1c_content_y_index ON test1c (content COLLATE "y");
+</programlisting>
+ </para>
+ </sect1>
+
+
+ <sect1 id="indexes-examine">
+ <title>Examining Index Usage</title>
+
+ <indexterm zone="indexes-examine">
+ <primary>index</primary>
+ <secondary>examining usage</secondary>
+ </indexterm>
+
+ <para>
+ Although indexes in <productname>PostgreSQL</productname> do not need
+ maintenance or tuning, it is still important to check
+ which indexes are actually used by the real-life query workload.
+ Examining index usage for an individual query is done with the
+ <xref linkend="sql-explain"/>
+ command; its application for this purpose is
+ illustrated in <xref linkend="using-explain"/>.
+ It is also possible to gather overall statistics about index usage
+ in a running server, as described in <xref linkend="monitoring-stats"/>.
+ </para>
+
+ <para>
+ It is difficult to formulate a general procedure for determining
+ which indexes to create. There are a number of typical cases that
+ have been shown in the examples throughout the previous sections.
+ A good deal of experimentation is often necessary.
+ The rest of this section gives some tips for that:
+ </para>
+
+ <itemizedlist>
+ <listitem>
+ <para>
+ Always run <xref linkend="sql-analyze"/>
+ first. This command
+ collects statistics about the distribution of the values in the
+ table. This information is required to estimate the number of rows
+ returned by a query, which is needed by the planner to assign
+ realistic costs to each possible query plan. In absence of any
+ real statistics, some default values are assumed, which are
+ almost certain to be inaccurate. Examining an application's
+ index usage without having run <command>ANALYZE</command> is
+ therefore a lost cause.
+ See <xref linkend="vacuum-for-statistics"/>
+ and <xref linkend="autovacuum"/> for more information.
+ </para>
+ </listitem>
+
+ <listitem>
+ <para>
+ Use real data for experimentation. Using test data for setting
+ up indexes will tell you what indexes you need for the test data,
+ but that is all.
+ </para>
+
+ <para>
+ It is especially fatal to use very small test data sets.
+ While selecting 1000 out of 100000 rows could be a candidate for
+ an index, selecting 1 out of 100 rows will hardly be, because the
+ 100 rows probably fit within a single disk page, and there
+ is no plan that can beat sequentially fetching 1 disk page.
+ </para>
+
+ <para>
+ Also be careful when making up test data, which is often
+ unavoidable when the application is not yet in production.
+ Values that are very similar, completely random, or inserted in
+ sorted order will skew the statistics away from the distribution
+ that real data would have.
+ </para>
+ </listitem>
+
+ <listitem>
+ <para>
+ When indexes are not used, it can be useful for testing to force
+ their use. There are run-time parameters that can turn off
+ various plan types (see <xref linkend="runtime-config-query-enable"/>).
+ For instance, turning off sequential scans
+ (<varname>enable_seqscan</varname>) and nested-loop joins
+ (<varname>enable_nestloop</varname>), which are the most basic plans,
+ will force the system to use a different plan. If the system
+ still chooses a sequential scan or nested-loop join then there is
+ probably a more fundamental reason why the index is not being
+ used; for example, the query condition does not match the index.
+ (What kind of query can use what kind of index is explained in
+ the previous sections.)
+ </para>
+ </listitem>
+
+ <listitem>
+ <para>
+ If forcing index usage does use the index, then there are two
+ possibilities: Either the system is right and using the index is
+ indeed not appropriate, or the cost estimates of the query plans
+ are not reflecting reality. So you should time your query with
+ and without indexes. The <command>EXPLAIN ANALYZE</command>
+ command can be useful here.
+ </para>
+ </listitem>
+
+ <listitem>
+ <para>
+ If it turns out that the cost estimates are wrong, there are,
+ again, two possibilities. The total cost is computed from the
+ per-row costs of each plan node times the selectivity estimate of
+ the plan node. The costs estimated for the plan nodes can be adjusted
+ via run-time parameters (described in <xref
+ linkend="runtime-config-query-constants"/>).
+ An inaccurate selectivity estimate is due to
+ insufficient statistics. It might be possible to improve this by
+ tuning the statistics-gathering parameters (see
+ <xref linkend="sql-altertable"/>).
+ </para>
+
+ <para>
+ If you do not succeed in adjusting the costs to be more
+ appropriate, then you might have to resort to forcing index usage
+ explicitly. You might also want to contact the
+ <productname>PostgreSQL</productname> developers to examine the issue.
+ </para>
+ </listitem>
+ </itemizedlist>
+ </sect1>
+</chapter>