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Improve documentation about GiST opclass support functions.

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Dimitri Fontaine
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Tom Lane 2009-06-12 19:48:53 +00:00
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<!-- $PostgreSQL: pgsql/doc/src/sgml/gist.sgml,v 1.30 2008/04/14 17:05:32 tgl Exp $ --> <!-- $PostgreSQL: pgsql/doc/src/sgml/gist.sgml,v 1.31 2009/06/12 19:48:53 tgl Exp $ -->
<chapter id="GiST"> <chapter id="GiST">
<title>GiST Indexes</title> <title>GiST Indexes</title>
@ -25,16 +25,17 @@
</para> </para>
<para> <para>
Some of the information here is derived from the University of California at Some of the information here is derived from the University of California
Berkeley's GiST Indexing Project at Berkeley's GiST Indexing Project
<ulink url="http://gist.cs.berkeley.edu/">web site</ulink> and <ulink url="http://gist.cs.berkeley.edu/">web site</ulink> and
Marcel Kornacker's thesis,
<ulink url="http://www.sai.msu.su/~megera/postgres/gist/papers/concurrency/access-methods-for-next-generation.pdf.gz"> <ulink url="http://www.sai.msu.su/~megera/postgres/gist/papers/concurrency/access-methods-for-next-generation.pdf.gz">
Marcel Kornacker's thesis, Access Methods for Next-Generation Database Systems</ulink>. Access Methods for Next-Generation Database Systems</ulink>.
The <acronym>GiST</acronym> The <acronym>GiST</acronym>
implementation in <productname>PostgreSQL</productname> is primarily implementation in <productname>PostgreSQL</productname> is primarily
maintained by Teodor Sigaev and Oleg Bartunov, and there is more maintained by Teodor Sigaev and Oleg Bartunov, and there is more
information on their information on their
<ulink url="http://www.sai.msu.su/~megera/postgres/gist/">website</ulink>. <ulink url="http://www.sai.msu.su/~megera/postgres/gist/">web site</ulink>.
</para> </para>
</sect1> </sect1>
@ -47,11 +48,11 @@
difficult work. It was necessary to understand the inner workings of the difficult work. It was necessary to understand the inner workings of the
database, such as the lock manager and Write-Ahead Log. The database, such as the lock manager and Write-Ahead Log. The
<acronym>GiST</acronym> interface has a high level of abstraction, <acronym>GiST</acronym> interface has a high level of abstraction,
requiring the access method implementer to only implement the semantics of requiring the access method implementer only to implement the semantics of
the data type being accessed. The <acronym>GiST</acronym> layer itself the data type being accessed. The <acronym>GiST</acronym> layer itself
takes care of concurrency, logging and searching the tree structure. takes care of concurrency, logging and searching the tree structure.
</para> </para>
<para> <para>
This extensibility should not be confused with the extensibility of the This extensibility should not be confused with the extensibility of the
other standard search trees in terms of the data they can handle. For other standard search trees in terms of the data they can handle. For
@ -62,12 +63,12 @@
(<literal>&lt;</literal>, <literal>=</literal>, <literal>&gt;</literal>), (<literal>&lt;</literal>, <literal>=</literal>, <literal>&gt;</literal>),
and hash indexes only support equality queries. and hash indexes only support equality queries.
</para> </para>
<para> <para>
So if you index, say, an image collection with a So if you index, say, an image collection with a
<productname>PostgreSQL</productname> B-tree, you can only issue queries <productname>PostgreSQL</productname> B-tree, you can only issue queries
such as <quote>is imagex equal to imagey</quote>, <quote>is imagex less such as <quote>is imagex equal to imagey</quote>, <quote>is imagex less
than imagey</quote> and <quote>is imagex greater than imagey</quote>? than imagey</quote> and <quote>is imagex greater than imagey</quote>.
Depending on how you define <quote>equals</quote>, <quote>less than</quote> Depending on how you define <quote>equals</quote>, <quote>less than</quote>
and <quote>greater than</quote> in this context, this could be useful. and <quote>greater than</quote> in this context, this could be useful.
However, by using a <acronym>GiST</acronym> based index, you could create However, by using a <acronym>GiST</acronym> based index, you could create
@ -89,87 +90,479 @@
<sect1 id="gist-implementation"> <sect1 id="gist-implementation">
<title>Implementation</title> <title>Implementation</title>
<para> <para>
There are seven methods that an index operator class for There are seven methods that an index operator class for
<acronym>GiST</acronym> must provide: <acronym>GiST</acronym> must provide. Correctness of the index is ensured
by proper implementation of the <function>same</>, <function>consistent</>
and <function>union</> methods, while efficiency (size and speed) of the
index will depend on the <function>penalty</> and <function>picksplit</>
methods.
The remaining two methods are <function>compress</> and
<function>decompress</>, which allow an index to have internal tree data of
a different type than the data it indexes. The leaves are to be of the
indexed data type, while the other tree nodes can be of any C struct (but
you still have to follow <productname>PostgreSQL</> datatype rules here,
see about <literal>varlena</> for variable sized data). If the tree's
internal data type exists at the SQL level, the <literal>STORAGE</> option
of the <command>CREATE OPERATOR CLASS</> command can be used.
</para> </para>
<variablelist> <variablelist>
<varlistentry> <varlistentry>
<term>consistent</term> <term><function>consistent</></term>
<listitem> <listitem>
<para> <para>
Given a predicate <literal>p</literal> on a tree page, and a user Given an index entry <literal>p</> and a query value <literal>q</>,
query, <literal>q</literal>, this method will return false if it is this function determines whether the index entry is
certain that both <literal>p</literal> and <literal>q</literal> cannot <quote>consistent</> with the query; that is, could the predicate
be true for a given data item. For a true result, a <quote><replaceable>indexed_column</>
<literal>recheck</> flag must also be returned; this indicates whether <replaceable>indexable_operator</> <literal>q</></quote> be true for
the predicate implies the query (<literal>recheck</> = false) or any row represented by the index entry? For a leaf index entry this is
not (<literal>recheck</> = true). equivalent to testing the indexable condition, while for an internal
tree node this determines whether it is necessary to scan the subtree
of the index represented by the tree node. When the result is
<literal>true</>, a <literal>recheck</> flag must also be returned.
This indicates whether the predicate is certainly true or only possibly
true. If <literal>recheck</> = <literal>false</> then the index has
tested the predicate condition exactly, whereas if <literal>recheck</>
= <literal>true</> the row is only a candidate match. In that case the
system will automatically evaluate the
<replaceable>indexable_operator</> against the actual row value to see
if it is really a match. This convention allows
<acronym>GiST</acronym> to support both lossless and lossy index
structures.
</para> </para>
<para>
The <acronym>SQL</> declaration of the function must look like this:
<programlisting>
CREATE OR REPLACE FUNCTION my_consistent(internal, data_type, smallint, oid, internal)
RETURNS bool
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT;
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_consistent(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_consistent);
Datum
my_consistent(PG_FUNCTION_ARGS)
{
GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
data_type *query = PG_GETARG_DATA_TYPE_P(1);
StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
/* Oid subtype = PG_GETARG_OID(3); */
bool *recheck = (bool *) PG_GETARG_POINTER(4);
data_type *key = DatumGetDataType(entry-&gt;key);
bool retval;
/*
* determine return value as a function of strategy, key and query.
*
* Use GIST_LEAF(entry) to know where you're called in the index tree,
* which comes handy when supporting the = operator for example (you could
* check for non empty union() in non-leaf nodes and equality in leaf
* nodes).
*/
*recheck = true; /* or false if check is exact */
PG_RETURN_BOOL(retval);
}
</programlisting>
Here, <varname>key</> is an element in the index and <varname>query</>
the value being looked up in the index. The <literal>StrategyNumber</>
parameter indicates which operator of your operator class is being
applied &mdash; it matches one of the operator numbers in the
<command>CREATE OPERATOR CLASS</> command. Depending on what operators
you have included in the class, the data type of <varname>query</> could
vary with the operator, but the above skeleton assumes it doesn't.
</para>
</listitem> </listitem>
</varlistentry> </varlistentry>
<varlistentry> <varlistentry>
<term>union</term> <term><function>union</></term>
<listitem> <listitem>
<para> <para>
This method consolidates information in the tree. Given a set of This method consolidates information in the tree. Given a set of
entries, this function generates a new predicate that is true for all entries, this function generates a new index entry that represents
the entries. all the given entries.
</para>
<para>
The <acronym>SQL</> declaration of the function must look like this:
<programlisting>
CREATE OR REPLACE FUNCTION my_union(internal, internal)
RETURNS internal
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT;
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_union(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_union);
Datum
my_union(PG_FUNCTION_ARGS)
{
GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
GISTENTRY *ent = entryvec-&gt;vector;
data_type *out,
*tmp,
*old;
int numranges,
i = 0;
numranges = entryvec-&gt;n;
tmp = DatumGetDataType(ent[0].key);
out = tmp;
if (numranges == 1)
{
out = data_type_deep_copy(tmp);
PG_RETURN_DATA_TYPE_P(out);
}
for (i = 1; i &lt; numranges; i++)
{
old = out;
tmp = DatumGetDataType(ent[i].key);
out = my_union_implementation(out, tmp);
}
PG_RETURN_DATA_TYPE_P(out);
}
</programlisting>
</para>
<para>
As you can see, in this skeleton we're dealing with a data type
where <literal>union(X, Y, Z) = union(union(X, Y), Z)</>. It's easy
enough to support data types where this is not the case, by
implementing the proper union algorithm in this
<acronym>GiST</> support method.
</para>
<para>
The <function>union</> implementation function should return a
pointer to newly <function>palloc()</>ed memory. You can't just
return whatever the input is.
</para> </para>
</listitem> </listitem>
</varlistentry> </varlistentry>
<varlistentry> <varlistentry>
<term>compress</term> <term><function>compress</></term>
<listitem> <listitem>
<para> <para>
Converts the data item into a format suitable for physical storage in Converts the data item into a format suitable for physical storage in
an index page. an index page.
</para> </para>
<para>
The <acronym>SQL</> declaration of the function must look like this:
<programlisting>
CREATE OR REPLACE FUNCTION my_compress(internal)
RETURNS internal
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT;
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_compress(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_compress);
Datum
my_compress(PG_FUNCTION_ARGS)
{
GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
GISTENTRY *retval;
if (entry-&gt;leafkey)
{
/* replace entry-&gt;key with a compressed version */
compressed_data_type *compressed_data = palloc(sizeof(compressed_data_type));
/* fill *compressed_data from entry-&gt;key ... */
retval = palloc(sizeof(GISTENTRY));
gistentryinit(*retval, PointerGetDatum(compressed_data),
entry-&gt;rel, entry-&gt;page, entry-&gt;offset, FALSE);
}
else
{
/* typically we needn't do anything with non-leaf entries */
retval = entry;
}
PG_RETURN_POINTER(retval);
}
</programlisting>
</para>
<para>
You have to adapt <replaceable>compressed_data_type</> to the specific
type you're converting to in order to compress your leaf nodes, of
course.
</para>
<para>
Depending on your needs, you could also need to care about
compressing <literal>NULL</> values in there, storing for example
<literal>(Datum) 0</> like <literal>gist_circle_compress</> does.
</para>
</listitem> </listitem>
</varlistentry> </varlistentry>
<varlistentry> <varlistentry>
<term>decompress</term> <term><function>decompress</></term>
<listitem> <listitem>
<para> <para>
The reverse of the <function>compress</function> method. Converts the The reverse of the <function>compress</function> method. Converts the
index representation of the data item into a format that can be index representation of the data item into a format that can be
manipulated by the database. manipulated by the database.
</para> </para>
<para>
The <acronym>SQL</> declaration of the function must look like this:
<programlisting>
CREATE OR REPLACE FUNCTION my_decompress(internal)
RETURNS internal
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT;
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_decompress(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_decompress);
Datum
my_decompress(PG_FUNCTION_ARGS)
{
PG_RETURN_POINTER(PG_GETARG_POINTER(0));
}
</programlisting>
The above skeleton is suitable for the case where no decompression
is needed.
</para>
</listitem> </listitem>
</varlistentry> </varlistentry>
<varlistentry> <varlistentry>
<term>penalty</term> <term><function>penalty</></term>
<listitem> <listitem>
<para> <para>
Returns a value indicating the <quote>cost</quote> of inserting the new Returns a value indicating the <quote>cost</quote> of inserting the new
entry into a particular branch of the tree. items will be inserted entry into a particular branch of the tree. Items will be inserted
down the path of least <function>penalty</function> in the tree. down the path of least <function>penalty</function> in the tree.
</para> </para>
</listitem>
</varlistentry>
<varlistentry>
<term>picksplit</term>
<listitem>
<para> <para>
When a page split is necessary, this function decides which entries on The <acronym>SQL</> declaration of the function must look like this:
the page are to stay on the old page, and which are to move to the new
page. <programlisting>
CREATE OR REPLACE FUNCTION my_penalty(internal, internal, internal)
RETURNS internal
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT; -- in some cases penalty functions need not be strict
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_penalty(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_penalty);
Datum
my_penalty(PG_FUNCTION_ARGS)
{
GISTENTRY *origentry = (GISTENTRY *) PG_GETARG_POINTER(0);
GISTENTRY *newentry = (GISTENTRY *) PG_GETARG_POINTER(1);
float *penalty = (float *) PG_GETARG_POINTER(2);
data_type *orig = DatumGetDataType(origentry-&gt;key);
data_type *new = DatumGetDataType(newentry-&gt;key);
*penalty = my_penalty_implementation(orig, new);
PG_RETURN_POINTER(penalty);
}
</programlisting>
</para>
<para>
The <function>penalty</> function is crucial to good performance of
the index. It'll get used at insertion time to determine which branch
to follow when choosing where to add the new entry in the tree. At
query time, the more balanced the index, the quicker the lookup.
</para> </para>
</listitem> </listitem>
</varlistentry> </varlistentry>
<varlistentry> <varlistentry>
<term>same</term> <term><function>picksplit</></term>
<listitem> <listitem>
<para> <para>
Returns true if two entries are identical, false otherwise. When an index page split is necessary, this function decides which
entries on the page are to stay on the old page, and which are to move
to the new page.
</para>
<para>
The <acronym>SQL</> declaration of the function must look like this:
<programlisting>
CREATE OR REPLACE FUNCTION my_picksplit(internal, internal)
RETURNS internal
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT;
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_picksplit(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_picksplit);
Datum
my_picksplit(PG_FUNCTION_ARGS)
{
GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
OffsetNumber maxoff = entryvec-&gt;n - 1;
GISTENTRY *ent = entryvec-&gt;vector;
GIST_SPLITVEC *v = (GIST_SPLITVEC *) PG_GETARG_POINTER(1);
int i,
nbytes;
OffsetNumber *left,
*right;
data_type *tmp_union;
data_type *unionL;
data_type *unionR;
GISTENTRY **raw_entryvec;
maxoff = entryvec-&gt;n - 1;
nbytes = (maxoff + 1) * sizeof(OffsetNumber);
v-&gt;spl_left = (OffsetNumber *) palloc(nbytes);
left = v-&gt;spl_left;
v-&gt;spl_nleft = 0;
v-&gt;spl_right = (OffsetNumber *) palloc(nbytes);
right = v-&gt;spl_right;
v-&gt;spl_nright = 0;
unionL = NULL;
unionR = NULL;
/* Initialize the raw entry vector. */
raw_entryvec = (GISTENTRY **) malloc(entryvec-&gt;n * sizeof(void *));
for (i = FirstOffsetNumber; i &lt;= maxoff; i = OffsetNumberNext(i))
raw_entryvec[i] = &amp;(entryvec-&gt;vector[i]);
for (i = FirstOffsetNumber; i &lt;= maxoff; i = OffsetNumberNext(i))
{
int real_index = raw_entryvec[i] - entryvec-&gt;vector;
tmp_union = DatumGetDataType(entryvec-&gt;vector[real_index].key);
Assert(tmp_union != NULL);
/*
* Choose where to put the index entries and update unionL and unionR
* accordingly. Append the entries to either v_spl_left or
* v_spl_right, and care about the counters.
*/
if (my_choice_is_left(unionL, curl, unionR, curr))
{
if (unionL == NULL)
unionL = tmp_union;
else
unionL = my_union_implementation(unionL, tmp_union);
*left = real_index;
++left;
++(v-&gt;spl_nleft);
}
else
{
/*
* Same on the right
*/
}
}
v-&gt;spl_ldatum = DataTypeGetDatum(unionL);
v-&gt;spl_rdatum = DataTypeGetDatum(unionR);
PG_RETURN_POINTER(v);
}
</programlisting>
</para>
<para>
Like <function>penalty</>, the <function>picksplit</> function
is crucial to good performance of the index. Designing suitable
<function>penalty</> and <function>picksplit</> implementations
is where the challenge of implementing well-performing
<acronym>GiST</> indexes lies.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><function>same</></term>
<listitem>
<para>
Returns true if two index entries are identical, false otherwise.
</para>
<para>
The <acronym>SQL</> declaration of the function must look like this:
<programlisting>
CREATE OR REPLACE FUNCTION my_same(internal, internal, internal)
RETURNS internal
AS 'MODULE_PATHNAME'
LANGUAGE C STRICT;
</programlisting>
And the matching code in the C module could then follow this skeleton:
<programlisting>
Datum my_same(PG_FUNCTION_ARGS);
PG_FUNCTION_INFO_V1(my_same);
Datum
my_same(PG_FUNCTION_ARGS)
{
prefix_range *v1 = PG_GETARG_PREFIX_RANGE_P(0);
prefix_range *v2 = PG_GETARG_PREFIX_RANGE_P(1);
bool *result = (bool *) PG_GETARG_POINTER(2);
*result = my_eq(v1, v2);
PG_RETURN_POINTER(result);
}
</programlisting>
For historical reasons, the <function>same</> function doesn't
just return a boolean result; instead it has to store the flag
at the location indicated by the third argument.
</para> </para>
</listitem> </listitem>
</varlistentry> </varlistentry>
@ -189,9 +582,9 @@
R-Tree equivalent functionality for some of the built-in geometric data types R-Tree equivalent functionality for some of the built-in geometric data types
(see <filename>src/backend/access/gist/gistproc.c</>). The following (see <filename>src/backend/access/gist/gistproc.c</>). The following
<filename>contrib</> modules also contain <acronym>GiST</acronym> <filename>contrib</> modules also contain <acronym>GiST</acronym>
operator classes: operator classes:
</para> </para>
<variablelist> <variablelist>
<varlistentry> <varlistentry>
<term>btree_gist</term> <term>btree_gist</term>