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<!-- $PostgreSQL: pgsql/doc/src/sgml/indexam.sgml,v 2.30 2009/03/24 20:17:08 tgl Exp $ -->
<chapter id="indexam">
<title>Index Access Method Interface Definition</title>
<para>
This chapter defines the interface between the core
<productname>PostgreSQL</productname> system and <firstterm>index access
methods</>, which manage individual index types. The core system
knows nothing about indexes beyond what is specified here, so it is
possible to develop entirely new index types by writing add-on code.
</para>
<para>
All indexes in <productname>PostgreSQL</productname> are what are known
technically as <firstterm>secondary indexes</>; that is, the index is
physically separate from the table file that it describes. Each index
is stored as its own physical <firstterm>relation</> and so is described
by an entry in the <structname>pg_class</> catalog. The contents of an
index are entirely under the control of its index access method. In
practice, all index access methods divide indexes into standard-size
pages so that they can use the regular storage manager and buffer manager
to access the index contents. (All the existing index access methods
furthermore use the standard page layout described in <xref
linkend="storage-page-layout">, and they all use the same format for index
tuple headers; but these decisions are not forced on an access method.)
</para>
<para>
An index is effectively a mapping from some data key values to
<firstterm>tuple identifiers</>, or <acronym>TIDs</>, of row versions
(tuples) in the index's parent table. A TID consists of a
block number and an item number within that block (see <xref
linkend="storage-page-layout">). This is sufficient
information to fetch a particular row version from the table.
Indexes are not directly aware that under MVCC, there might be multiple
extant versions of the same logical row; to an index, each tuple is
an independent object that needs its own index entry. Thus, an
update of a row always creates all-new index entries for the row, even if
the key values did not change. (HOT tuples are an exception to this
statement; but indexes do not deal with those, either.) Index entries for
dead tuples are reclaimed (by vacuuming) when the dead tuples themselves
are reclaimed.
</para>
<sect1 id="index-catalog">
<title>Catalog Entries for Indexes</title>
<para>
Each index access method is described by a row in the
<structname>pg_am</structname> system catalog (see
<xref linkend="catalog-pg-am">). The principal contents of a
<structname>pg_am</structname> row are references to
<link linkend="catalog-pg-proc"><structname>pg_proc</structname></link>
entries that identify the index access
functions supplied by the access method. The APIs for these functions
are defined later in this chapter. In addition, the
<structname>pg_am</structname> row specifies a few fixed properties of
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the access method, such as whether it can support multicolumn indexes.
There is not currently any special support
for creating or deleting <structname>pg_am</structname> entries;
anyone able to write a new access method is expected to be competent
to insert an appropriate row for themselves.
</para>
<para>
To be useful, an index access method must also have one or more
<firstterm>operator families</> and
<firstterm>operator classes</> defined in
<link linkend="catalog-pg-opfamily"><structname>pg_opfamily</structname></link>,
<link linkend="catalog-pg-opclass"><structname>pg_opclass</structname></link>,
<link linkend="catalog-pg-amop"><structname>pg_amop</structname></link>, and
<link linkend="catalog-pg-amproc"><structname>pg_amproc</structname></link>.
These entries allow the planner
to determine what kinds of query qualifications can be used with
indexes of this access method. Operator families and classes are described
in <xref linkend="xindex">, which is prerequisite material for reading
this chapter.
</para>
<para>
An individual index is defined by a
<link linkend="catalog-pg-class"><structname>pg_class</structname></link>
entry that describes it as a physical relation, plus a
<link linkend="catalog-pg-index"><structname>pg_index</structname></link>
entry that shows the logical content of the index &mdash; that is, the set
of index columns it has and the semantics of those columns, as captured by
the associated operator classes. The index columns (key values) can be
either simple columns of the underlying table or expressions over the table
rows. The index access method normally has no interest in where the index
key values come from (it is always handed precomputed key values) but it
will be very interested in the operator class information in
<structname>pg_index</structname>. Both of these catalog entries can be
accessed as part of the <structname>Relation</> data structure that is
passed to all operations on the index.
</para>
<para>
Some of the flag columns of <structname>pg_am</structname> have nonobvious
implications. The requirements of <structfield>amcanunique</structfield>
are discussed in <xref linkend="index-unique-checks">.
The <structfield>amcanmulticol</structfield> flag asserts that the
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access method supports multicolumn indexes, while
<structfield>amoptionalkey</structfield> asserts that it allows scans
where no indexable restriction clause is given for the first index column.
When <structfield>amcanmulticol</structfield> is false,
<structfield>amoptionalkey</structfield> essentially says whether the
access method allows full-index scans without any restriction clause.
Access methods that support multiple index columns <emphasis>must</>
support scans that omit restrictions on any or all of the columns after
the first; however they are permitted to require some restriction to
appear for the first index column, and this is signaled by setting
<structfield>amoptionalkey</structfield> false.
<structfield>amindexnulls</structfield> asserts that index entries are
created for NULL key values. Since most indexable operators are
strict and hence cannot return TRUE for NULL inputs,
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it is at first sight attractive to not store index entries for null values:
they could never be returned by an index scan anyway. However, this
argument fails when an index scan has no restriction clause for a given
index column. In practice this means that
indexes that have <structfield>amoptionalkey</structfield> true must
index nulls, since the planner might decide to use such an index
with no scan keys at all. A related restriction is that an index
access method that supports multiple index columns <emphasis>must</>
support indexing null values in columns after the first, because the planner
will assume the index can be used for queries that do not restrict
these columns. For example, consider an index on (a,b) and a query with
<literal>WHERE a = 4</literal>. The system will assume the index can be
used to scan for rows with <literal>a = 4</literal>, which is wrong if the
index omits rows where <literal>b</> is null.
It is, however, OK to omit rows where the first indexed column is null.
Thus, <structfield>amindexnulls</structfield> should be set true only if the
index access method indexes all rows, including arbitrary combinations of
null values. An index access method that sets
<structfield>amindexnulls</structfield> may also set
<structfield>amsearchnulls</structfield>, indicating that it supports
<literal>IS NULL</> clauses as search conditions.
</para>
</sect1>
<sect1 id="index-functions">
<title>Index Access Method Functions</title>
<para>
The index construction and maintenance functions that an index access
method must provide are:
</para>
<para>
<programlisting>
IndexBuildResult *
ambuild (Relation heapRelation,
Relation indexRelation,
IndexInfo *indexInfo);
</programlisting>
Build a new index. The index relation has been physically created,
but is empty. It must be filled in with whatever fixed data the
access method requires, plus entries for all tuples already existing
in the table. Ordinarily the <function>ambuild</> function will call
<function>IndexBuildHeapScan()</> to scan the table for existing tuples
and compute the keys that need to be inserted into the index.
The function must return a palloc'd struct containing statistics about
the new index.
</para>
<para>
<programlisting>
bool
aminsert (Relation indexRelation,
Datum *values,
bool *isnull,
ItemPointer heap_tid,
Relation heapRelation,
bool check_uniqueness);
</programlisting>
Insert a new tuple into an existing index. The <literal>values</> and
<literal>isnull</> arrays give the key values to be indexed, and
<literal>heap_tid</> is the TID to be indexed.
If the access method supports unique indexes (its
<structname>pg_am</>.<structfield>amcanunique</> flag is true) then
<literal>check_uniqueness</> might be true, in which case the access method
must verify that there is no conflicting row; this is the only situation in
which the access method normally needs the <literal>heapRelation</>
parameter. See <xref linkend="index-unique-checks"> for details.
The result is TRUE if an index entry was inserted, FALSE if not. (A FALSE
result does not denote an error condition, but is used for cases such
as an index method refusing to index a NULL.)
</para>
<para>
<programlisting>
IndexBulkDeleteResult *
ambulkdelete (IndexVacuumInfo *info,
IndexBulkDeleteResult *stats,
IndexBulkDeleteCallback callback,
void *callback_state);
</programlisting>
Delete tuple(s) from the index. This is a <quote>bulk delete</> operation
that is intended to be implemented by scanning the whole index and checking
each entry to see if it should be deleted.
The passed-in <literal>callback</> function must be called, in the style
<literal>callback(<replaceable>TID</>, callback_state) returns bool</literal>,
to determine whether any particular index entry, as identified by its
referenced TID, is to be deleted. Must return either NULL or a palloc'd
struct containing statistics about the effects of the deletion operation.
It is OK to return NULL if no information needs to be passed on to
<function>amvacuumcleanup</>.
</para>
<para>
Because of limited <varname>maintenance_work_mem</>,
<function>ambulkdelete</> might need to be called more than once when many
tuples are to be deleted. The <literal>stats</> argument is the result
of the previous call for this index (it is NULL for the first call within a
<command>VACUUM</> operation). This allows the AM to accumulate statistics
across the whole operation. Typically, <function>ambulkdelete</> will
modify and return the same struct if the passed <literal>stats</> is not
null.
</para>
<para>
<programlisting>
IndexBulkDeleteResult *
amvacuumcleanup (IndexVacuumInfo *info,
IndexBulkDeleteResult *stats);
</programlisting>
Clean up after a <command>VACUUM</command> operation (zero or more
<function>ambulkdelete</> calls). This does not have to do anything
beyond returning index statistics, but it might perform bulk cleanup
such as reclaiming empty index pages. <literal>stats</> is whatever the
last <function>ambulkdelete</> call returned, or NULL if
<function>ambulkdelete</> was not called because no tuples needed to be
deleted. If the result is not NULL it must be a palloc'd struct.
The statistics it contains will be used to update <structname>pg_class</>,
and will be reported by <command>VACUUM</> if <literal>VERBOSE</> is given.
It is OK to return NULL if the index was not changed at all during the
<command>VACUUM</command> operation, but otherwise correct stats should
be returned.
</para>
<para>
As of <productname>PostgreSQL</productname> 8.4,
<function>amvacuumcleanup</> will also be called at completion of an
<command>ANALYZE</> operation. In this case <literal>stats</> is always
NULL and any return value will be ignored. This case can be distinguished
by checking <literal>info-&gt;analyze_only</literal>. It is recommended
that the access method do nothing except post-insert cleanup in such a
call, and that only in an autovacuum worker process.
</para>
<para>
<programlisting>
void
amcostestimate (PlannerInfo *root,
IndexOptInfo *index,
List *indexQuals,
RelOptInfo *outer_rel,
Cost *indexStartupCost,
Cost *indexTotalCost,
Selectivity *indexSelectivity,
double *indexCorrelation);
</programlisting>
Estimate the costs of an index scan. This function is described fully
in <xref linkend="index-cost-estimation">, below.
</para>
<para>
<programlisting>
bytea *
amoptions (ArrayType *reloptions,
bool validate);
</programlisting>
Parse and validate the reloptions array for an index. This is called only
when a non-null reloptions array exists for the index.
<parameter>reloptions</> is a <type>text</> array containing entries of the
form <replaceable>name</><literal>=</><replaceable>value</>.
The function should construct a <type>bytea</> value, which will be copied
into the <structfield>rd_options</> field of the index's relcache entry.
The data contents of the <type>bytea</> value are open for the access
method to define; most of the standard access methods use struct
<structname>StdRdOptions</>.
When <parameter>validate</> is true, the function should report a suitable
error message if any of the options are unrecognized or have invalid
values; when <parameter>validate</> is false, invalid entries should be
silently ignored. (<parameter>validate</> is false when loading options
already stored in <structname>pg_catalog</>; an invalid entry could only
be found if the access method has changed its rules for options, and in
that case ignoring obsolete entries is appropriate.)
It is OK to return NULL if default behavior is wanted.
</para>
<para>
The purpose of an index, of course, is to support scans for tuples matching
an indexable <literal>WHERE</> condition, often called a
<firstterm>qualifier</> or <firstterm>scan key</>. The semantics of
index scanning are described more fully in <xref linkend="index-scanning">,
below. An index access method can support <quote>plain</> index scans,
<quote>bitmap</> index scans, or both. The scan-related functions that an
index access method must or may provide are:
</para>
<para>
<programlisting>
IndexScanDesc
ambeginscan (Relation indexRelation,
int nkeys,
ScanKey key);
</programlisting>
Begin a new scan. The <literal>key</> array (of length <literal>nkeys</>)
describes the scan key(s) for the index scan. The result must be a
palloc'd struct. For implementation reasons the index access method
<emphasis>must</> create this struct by calling
<function>RelationGetIndexScan()</>. In most cases
<function>ambeginscan</> itself does little beyond making that call;
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the interesting parts of index-scan startup are in <function>amrescan</>.
</para>
<para>
<programlisting>
boolean
amgettuple (IndexScanDesc scan,
ScanDirection direction);
</programlisting>
Fetch the next tuple in the given scan, moving in the given
direction (forward or backward in the index). Returns TRUE if a tuple was
obtained, FALSE if no matching tuples remain. In the TRUE case the tuple
TID is stored into the <literal>scan</> structure. Note that
<quote>success</> means only that the index contains an entry that matches
the scan keys, not that the tuple necessarily still exists in the heap or
will pass the caller's snapshot test. On success, <function>amgettuple</>
must also set <literal>scan-&gt;xs_recheck</> to TRUE or FALSE.
FALSE means it is certain that the index entry matches the scan keys.
TRUE means this is not certain, and the conditions represented by the
scan keys must be rechecked against the heap tuple after fetching it.
This provision supports <quote>lossy</> index operators.
Note that rechecking will extend only to the scan conditions; a partial
index predicate (if any) is never rechecked by <function>amgettuple</>
callers.
</para>
<para>
The <function>amgettuple</> function need only be provided if the access
method supports <quote>plain</> index scans. If it doesn't, the
<structfield>amgettuple</> field in its <structname>pg_am</> row must
be set to zero.
</para>
<para>
<programlisting>
int64
amgetbitmap (IndexScanDesc scan,
TIDBitmap *tbm);
</programlisting>
Fetch all tuples in the given scan and add them to the caller-supplied
TIDBitmap (that is, OR the set of tuple IDs into whatever set is already
in the bitmap). The number of tuples fetched is returned (this might be
just an approximate count, for instance some AMs do not detect duplicates).
While inserting tuple IDs into the bitmap, <function>amgetbitmap</> can
indicate that rechecking of the scan conditions is required for specific
tuple IDs. This is analogous to the <literal>xs_recheck</> output parameter
of <function>amgettuple</>. Note: in the current implementation, support
for this feature is conflated with support for lossy storage of the bitmap
itself, and therefore callers recheck both the scan conditions and the
partial index predicate (if any) for recheckable tuples. That might not
always be true, however.
<function>amgetbitmap</> and
<function>amgettuple</> cannot be used in the same index scan; there
are other restrictions too when using <function>amgetbitmap</>, as explained
in <xref linkend="index-scanning">.
</para>
<para>
The <function>amgetbitmap</> function need only be provided if the access
method supports <quote>bitmap</> index scans. If it doesn't, the
<structfield>amgetbitmap</> field in its <structname>pg_am</> row must
be set to zero.
</para>
<para>
<programlisting>
void
amrescan (IndexScanDesc scan,
ScanKey key);
</programlisting>
Restart the given scan, possibly with new scan keys (to continue using
the old keys, NULL is passed for <literal>key</>). Note that it is not
possible for the number of keys to be changed. In practice the restart
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feature is used when a new outer tuple is selected by a nested-loop join
and so a new key comparison value is needed, but the scan key structure
remains the same. This function is also called by
<function>RelationGetIndexScan()</>, so it is used for initial setup
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of an index scan as well as rescanning.
</para>
<para>
<programlisting>
void
amendscan (IndexScanDesc scan);
</programlisting>
End a scan and release resources. The <literal>scan</> struct itself
should not be freed, but any locks or pins taken internally by the
access method must be released.
</para>
<para>
<programlisting>
void
ammarkpos (IndexScanDesc scan);
</programlisting>
Mark current scan position. The access method need only support one
remembered scan position per scan.
</para>
<para>
<programlisting>
void
amrestrpos (IndexScanDesc scan);
</programlisting>
Restore the scan to the most recently marked position.
</para>
<para>
By convention, the <literal>pg_proc</literal> entry for an index
access method function should show the correct number of arguments,
but declare them all as type <type>internal</> (since most of the arguments
have types that are not known to SQL, and we don't want users calling
the functions directly anyway). The return type is declared as
<type>void</>, <type>internal</>, or <type>boolean</> as appropriate.
The only exception is <function>amoptions</>, which should be correctly
declared as taking <type>text[]</> and <type>bool</> and returning
<type>bytea</>. This provision allows client code to execute
<function>amoptions</> to test validity of options settings.
</para>
</sect1>
<sect1 id="index-scanning">
<title>Index Scanning</title>
<para>
In an index scan, the index access method is responsible for regurgitating
the TIDs of all the tuples it has been told about that match the
<firstterm>scan keys</>. The access method is <emphasis>not</> involved in
actually fetching those tuples from the index's parent table, nor in
determining whether they pass the scan's time qualification test or other
conditions.
</para>
<para>
A scan key is the internal representation of a <literal>WHERE</> clause of
the form <replaceable>index_key</> <replaceable>operator</>
<replaceable>constant</>, where the index key is one of the columns of the
index and the operator is one of the members of the operator family
associated with that index column. An index scan has zero or more scan
keys, which are implicitly ANDed &mdash; the returned tuples are expected
to satisfy all the indicated conditions.
</para>
<para>
The access method can report that the index is <firstterm>lossy</>, or
requires rechecks, for a particular query. This implies that the index
scan will return all the entries that pass the scan key, plus possibly
additional entries that do not. The core system's index-scan machinery
will then apply the index conditions again to the heap tuple to verify
whether or not it really should be selected. If the recheck option is not
specified, the index scan must return exactly the set of matching entries.
</para>
<para>
Note that it is entirely up to the access method to ensure that it
correctly finds all and only the entries passing all the given scan keys.
Also, the core system will simply hand off all the <literal>WHERE</>
clauses that match the index keys and operator families, without any
semantic analysis to determine whether they are redundant or
contradictory. As an example, given
<literal>WHERE x &gt; 4 AND x &gt; 14</> where <literal>x</> is a b-tree
indexed column, it is left to the b-tree <function>amrescan</> function
to realize that the first scan key is redundant and can be discarded.
The extent of preprocessing needed during <function>amrescan</> will
depend on the extent to which the index access method needs to reduce
the scan keys to a <quote>normalized</> form.
</para>
<para>
Some access methods return index entries in a well-defined order, others
do not. If entries are returned in sorted order, the access method should
set <structname>pg_am</>.<structfield>amcanorder</> true to indicate that
it supports ordered scans.
All such access methods must use btree-compatible strategy numbers for
their equality and ordering operators.
</para>
<para>
The <function>amgettuple</> function has a <literal>direction</> argument,
which can be either <literal>ForwardScanDirection</> (the normal case)
or <literal>BackwardScanDirection</>. If the first call after
<function>amrescan</> specifies <literal>BackwardScanDirection</>, then the
set of matching index entries is to be scanned back-to-front rather than in
the normal front-to-back direction, so <function>amgettuple</> must return
the last matching tuple in the index, rather than the first one as it
normally would. (This will only occur for access
methods that advertise they support ordered scans.) After the
first call, <function>amgettuple</> must be prepared to advance the scan in
either direction from the most recently returned entry. (But if
<structname>pg_am</>.<structfield>amcanbackward</> is false, all subsequent
calls will have the same direction as the first one.)
</para>
<para>
Access methods that support ordered scans must support <quote>marking</> a
position in a scan and later returning to the marked position. The same
position might be restored multiple times. However, only one position need
be remembered per scan; a new <function>ammarkpos</> call overrides the
previously marked position. An access method that does not support
ordered scans should still provide mark and restore functions in
<structname>pg_am</>, but it is sufficient to have them throw errors if
called.
</para>
<para>
Both the scan position and the mark position (if any) must be maintained
consistently in the face of concurrent insertions or deletions in the
index. It is OK if a freshly-inserted entry is not returned by a scan that
would have found the entry if it had existed when the scan started, or for
the scan to return such an entry upon rescanning or backing
up even though it had not been returned the first time through. Similarly,
a concurrent delete might or might not be reflected in the results of a scan.
What is important is that insertions or deletions not cause the scan to
miss or multiply return entries that were not themselves being inserted or
deleted.
</para>
<para>
Instead of using <function>amgettuple</>, an index scan can be done with
<function>amgetbitmap</> to fetch all tuples in one call. This can be
noticeably more efficient than <function>amgettuple</> because it allows
avoiding lock/unlock cycles within the access method. In principle
<function>amgetbitmap</> should have the same effects as repeated
<function>amgettuple</> calls, but we impose several restrictions to
simplify matters. First of all, <function>amgetbitmap</> returns all
tuples at once and marking or restoring scan positions isn't
supported. Secondly, the tuples are returned in a bitmap which doesn't
have any specific ordering, which is why <function>amgetbitmap</> doesn't
take a <literal>direction</> argument. Finally, <function>amgetbitmap</>
does not guarantee any locking of the returned tuples, with implications
spelled out in <xref linkend="index-locking">.
</para>
<para>
Note that it is permitted for an access method to implement only
<function>amgetbitmap</> and not <function>amgettuple</>, or vice versa,
if its internal implementation is unsuited to one API or the other.
</para>
</sect1>
<sect1 id="index-locking">
<title>Index Locking Considerations</title>
<para>
Index access methods must handle concurrent updates
of the index by multiple processes.
The core <productname>PostgreSQL</productname> system obtains
<literal>AccessShareLock</> on the index during an index scan, and
<literal>RowExclusiveLock</> when updating the index (including plain
<command>VACUUM</>). Since these lock
types do not conflict, the access method is responsible for handling any
fine-grained locking it might need. An exclusive lock on the index as a whole
will be taken only during index creation, destruction,
<command>REINDEX</>, or <command>VACUUM FULL</>.
</para>
<para>
Building an index type that supports concurrent updates usually requires
extensive and subtle analysis of the required behavior. For the b-tree
and hash index types, you can read about the design decisions involved in
<filename>src/backend/access/nbtree/README</> and
<filename>src/backend/access/hash/README</>.
</para>
<para>
Aside from the index's own internal consistency requirements, concurrent
updates create issues about consistency between the parent table (the
<firstterm>heap</>) and the index. Because
<productname>PostgreSQL</productname> separates accesses
and updates of the heap from those of the index, there are windows in
which the index might be inconsistent with the heap. We handle this problem
with the following rules:
<itemizedlist>
<listitem>
<para>
A new heap entry is made before making its index entries. (Therefore
a concurrent index scan is likely to fail to see the heap entry.
This is okay because the index reader would be uninterested in an
uncommitted row anyway. But see <xref linkend="index-unique-checks">.)
</para>
</listitem>
<listitem>
<para>
When a heap entry is to be deleted (by <command>VACUUM</>), all its
index entries must be removed first.
</para>
</listitem>
<listitem>
<para>
An index scan must maintain a pin
on the index page holding the item last returned by
<function>amgettuple</>, and <function>ambulkdelete</> cannot delete
entries from pages that are pinned by other backends. The need
for this rule is explained below.
</para>
</listitem>
</itemizedlist>
Without the third rule, it is possible for an index reader to
see an index entry just before it is removed by <command>VACUUM</>, and
then to arrive at the corresponding heap entry after that was removed by
<command>VACUUM</>.
This creates no serious problems if that item
number is still unused when the reader reaches it, since an empty
item slot will be ignored by <function>heap_fetch()</>. But what if a
third backend has already re-used the item slot for something else?
When using an MVCC-compliant snapshot, there is no problem because
the new occupant of the slot is certain to be too new to pass the
snapshot test. However, with a non-MVCC-compliant snapshot (such as
<literal>SnapshotNow</>), it would be possible to accept and return
a row that does not in fact match the scan keys. We could defend
against this scenario by requiring the scan keys to be rechecked
against the heap row in all cases, but that is too expensive. Instead,
we use a pin on an index page as a proxy to indicate that the reader
might still be <quote>in flight</> from the index entry to the matching
heap entry. Making <function>ambulkdelete</> block on such a pin ensures
that <command>VACUUM</> cannot delete the heap entry before the reader
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is done with it. This solution costs little in run time, and adds blocking
overhead only in the rare cases where there actually is a conflict.
</para>
<para>
This solution requires that index scans be <quote>synchronous</>: we have
to fetch each heap tuple immediately after scanning the corresponding index
entry. This is expensive for a number of reasons. An
<quote>asynchronous</> scan in which we collect many TIDs from the index,
and only visit the heap tuples sometime later, requires much less index
locking overhead and can allow a more efficient heap access pattern.
Per the above analysis, we must use the synchronous approach for
non-MVCC-compliant snapshots, but an asynchronous scan is workable
for a query using an MVCC snapshot.
</para>
<para>
In an <function>amgetbitmap</> index scan, the access method does not
keep an index pin on any of the returned tuples. Therefore
it is only safe to use such scans with MVCC-compliant snapshots.
</para>
</sect1>
<sect1 id="index-unique-checks">
<title>Index Uniqueness Checks</title>
<para>
<productname>PostgreSQL</productname> enforces SQL uniqueness constraints
using <firstterm>unique indexes</>, which are indexes that disallow
multiple entries with identical keys. An access method that supports this
feature sets <structname>pg_am</>.<structfield>amcanunique</> true.
(At present, only b-tree supports it.)
</para>
<para>
Because of MVCC, it is always necessary to allow duplicate entries to
exist physically in an index: the entries might refer to successive
versions of a single logical row. The behavior we actually want to
enforce is that no MVCC snapshot could include two rows with equal
index keys. This breaks down into the following cases that must be
checked when inserting a new row into a unique index:
<itemizedlist>
<listitem>
<para>
If a conflicting valid row has been deleted by the current transaction,
it's okay. (In particular, since an UPDATE always deletes the old row
version before inserting the new version, this will allow an UPDATE on
a row without changing the key.)
</para>
</listitem>
<listitem>
<para>
If a conflicting row has been inserted by an as-yet-uncommitted
transaction, the would-be inserter must wait to see if that transaction
commits. If it rolls back then there is no conflict. If it commits
without deleting the conflicting row again, there is a uniqueness
violation. (In practice we just wait for the other transaction to
end and then redo the visibility check in toto.)
</para>
</listitem>
<listitem>
<para>
Similarly, if a conflicting valid row has been deleted by an
as-yet-uncommitted transaction, the would-be inserter must wait
for that transaction to commit or abort, and then repeat the test.
</para>
</listitem>
</itemizedlist>
</para>
<para>
Furthermore, immediately before raising a uniqueness violation
according to the above rules, the access method must recheck the
liveness of the row being inserted. If it is committed dead then
no error should be raised. (This case cannot occur during the
ordinary scenario of inserting a row that's just been created by
the current transaction. It can happen during
<command>CREATE UNIQUE INDEX CONCURRENTLY</>, however.)
</para>
<para>
We require the index access method to apply these tests itself, which
means that it must reach into the heap to check the commit status of
any row that is shown to have a duplicate key according to the index
contents. This is without a doubt ugly and non-modular, but it saves
redundant work: if we did a separate probe then the index lookup for
a conflicting row would be essentially repeated while finding the place to
insert the new row's index entry. What's more, there is no obvious way
to avoid race conditions unless the conflict check is an integral part
of insertion of the new index entry.
</para>
<para>
The main limitation of this scheme is that it has no convenient way
to support deferred uniqueness checks.
</para>
</sect1>
<sect1 id="index-cost-estimation">
<title>Index Cost Estimation Functions</title>
<para>
The amcostestimate function is given a list of WHERE clauses that have
been determined to be usable with the index. It must return estimates
of the cost of accessing the index and the selectivity of the WHERE
clauses (that is, the fraction of parent-table rows that will be
retrieved during the index scan). For simple cases, nearly all the
work of the cost estimator can be done by calling standard routines
in the optimizer; the point of having an amcostestimate function is
to allow index access methods to provide index-type-specific knowledge,
in case it is possible to improve on the standard estimates.
</para>
<para>
Each amcostestimate function must have the signature:
<programlisting>
void
amcostestimate (PlannerInfo *root,
IndexOptInfo *index,
List *indexQuals,
RelOptInfo *outer_rel,
Cost *indexStartupCost,
Cost *indexTotalCost,
Selectivity *indexSelectivity,
double *indexCorrelation);
</programlisting>
The first four parameters are inputs:
<variablelist>
<varlistentry>
<term>root</term>
<listitem>
<para>
The planner's information about the query being processed.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>index</term>
<listitem>
<para>
The index being considered.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>indexQuals</term>
<listitem>
<para>
List of index qual clauses (implicitly ANDed);
a NIL list indicates no qualifiers are available.
Note that the list contains expression trees, not ScanKeys.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>outer_rel</term>
<listitem>
<para>
If the index is being considered for use in a join inner indexscan,
the planner's information about the outer side of the join. Otherwise
NULL. When non-NULL, some of the qual clauses will be join clauses
with this rel rather than being simple restriction clauses. Also,
the cost estimator should expect that the index scan will be repeated
for each row of the outer rel.
</para>
</listitem>
</varlistentry>
</variablelist>
</para>
<para>
The last four parameters are pass-by-reference outputs:
<variablelist>
<varlistentry>
<term>*indexStartupCost</term>
<listitem>
<para>
Set to cost of index start-up processing
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>*indexTotalCost</term>
<listitem>
<para>
Set to total cost of index processing
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>*indexSelectivity</term>
<listitem>
<para>
Set to index selectivity
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>*indexCorrelation</term>
<listitem>
<para>
Set to correlation coefficient between index scan order and
underlying table's order
</para>
</listitem>
</varlistentry>
</variablelist>
</para>
<para>
Note that cost estimate functions must be written in C, not in SQL or
any available procedural language, because they must access internal
data structures of the planner/optimizer.
</para>
<para>
The index access costs should be computed using the parameters used by
<filename>src/backend/optimizer/path/costsize.c</filename>: a sequential
disk block fetch has cost <varname>seq_page_cost</>, a nonsequential fetch
has cost <varname>random_page_cost</>, and the cost of processing one index
row should usually be taken as <varname>cpu_index_tuple_cost</>. In
addition, an appropriate multiple of <varname>cpu_operator_cost</> should
be charged for any comparison operators invoked during index processing
(especially evaluation of the indexQuals themselves).
</para>
<para>
The access costs should include all disk and CPU costs associated with
scanning the index itself, but <emphasis>not</> the costs of retrieving or
processing the parent-table rows that are identified by the index.
</para>
<para>
The <quote>start-up cost</quote> is the part of the total scan cost that
must be expended before we can begin to fetch the first row. For most
indexes this can be taken as zero, but an index type with a high start-up
cost might want to set it nonzero.
</para>
<para>
The indexSelectivity should be set to the estimated fraction of the parent
table rows that will be retrieved during the index scan. In the case
of a lossy query, this will typically be higher than the fraction of
rows that actually pass the given qual conditions.
</para>
<para>
The indexCorrelation should be set to the correlation (ranging between
-1.0 and 1.0) between the index order and the table order. This is used
to adjust the estimate for the cost of fetching rows from the parent
table.
</para>
<para>
In the join case, the returned numbers should be averages expected for
any one scan of the index.
</para>
<procedure>
<title>Cost Estimation</title>
<para>
A typical cost estimator will proceed as follows:
</para>
<step>
<para>
Estimate and return the fraction of parent-table rows that will be visited
based on the given qual conditions. In the absence of any index-type-specific
knowledge, use the standard optimizer function <function>clauselist_selectivity()</function>:
<programlisting>
*indexSelectivity = clauselist_selectivity(root, indexQuals,
index-&gt;rel-&gt;relid,
JOIN_INNER, NULL);
</programlisting>
</para>
</step>
<step>
<para>
Estimate the number of index rows that will be visited during the
scan. For many index types this is the same as indexSelectivity times
the number of rows in the index, but it might be more. (Note that the
index's size in pages and rows is available from the IndexOptInfo struct.)
</para>
</step>
<step>
<para>
Estimate the number of index pages that will be retrieved during the scan.
This might be just indexSelectivity times the index's size in pages.
</para>
</step>
<step>
<para>
Compute the index access cost. A generic estimator might do this:
<programlisting>
/*
* Our generic assumption is that the index pages will be read
* sequentially, so they cost seq_page_cost each, not random_page_cost.
* Also, we charge for evaluation of the indexquals at each index row.
* All the costs are assumed to be paid incrementally during the scan.
*/
cost_qual_eval(&amp;index_qual_cost, indexQuals, root);
*indexStartupCost = index_qual_cost.startup;
*indexTotalCost = seq_page_cost * numIndexPages +
(cpu_index_tuple_cost + index_qual_cost.per_tuple) * numIndexTuples;
</programlisting>
However, the above does not account for amortization of index reads
across repeated index scans in the join case.
</para>
</step>
<step>
<para>
Estimate the index correlation. For a simple ordered index on a single
field, this can be retrieved from pg_statistic. If the correlation
is not known, the conservative estimate is zero (no correlation).
</para>
</step>
</procedure>
<para>
Examples of cost estimator functions can be found in
<filename>src/backend/utils/adt/selfuncs.c</filename>.
</para>
</sect1>
</chapter>