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<chapter id="xindex"> <title>Interfacing Extensions To Indices</title> <para> The procedures described thus far let you define a new type, new functions and new operators. However, we cannot yet define a secondary index (such as a <acronym>B-tree</acronym>, <acronym>R-tree</acronym> or hash access method) over a new type or its operators. </para> <para> Look back at <xref endterm="EXTEND-CATALOGS" linkend="EXTEND-CATALOGS">. The right half shows the catalogs that we must modify in order to tell <productname>Postgres</productname> how to use a user-defined type and/or user-defined operators with an index (i.e., <filename>pg_am, pg_amop, pg_amproc, pg_operator</filename> and <filename>pg_opclass</filename>). Unfortunately, there is no simple command to do this. We will demonstrate how to modify these catalogs through a running example: a new operator class for the <acronym>B-tree</acronym> access method that stores and sorts complex numbers in ascending absolute value order. </para> <para> The <filename>pg_am</filename> class contains one instance for every user defined access method. Support for the heap access method is built into <productname>Postgres</productname>, but every other access method is described here. The schema is <table tocentry="1"> <title>Index Schema</title> <titleabbrev>Indices</titleabbrev> <tgroup cols="2"> <thead> <row> <entry>Attribute</entry> <entry>Description</entry> </row> </thead> <tbody> <row> <entry>amname</entry> <entry>name of the access method</entry> </row> <row> <entry>amowner</entry> <entry>object id of the owner's instance in pg_user</entry> </row> <row> <entry>amkind</entry> <entry>not used at present, but set to 'o' as a place holder</entry> </row> <row> <entry>amstrategies</entry> <entry>number of strategies for this access method (see below)</entry> </row> <row> <entry>amsupport</entry> <entry>number of support routines for this access method (see below)</entry> </row> <row> <entry>amgettuple</entry> </row> <row> <entry>aminsert</entry> </row> <row> <entry>...</entry> <entry>procedure identifiers for interface routines to the access method. For example, regproc ids for opening, closing, and getting instances from the access method appear here.</entry> </row> </tbody> </tgroup> </table> </para> <para> The <acronym>object ID</acronym> of the instance in <filename>pg_am</filename> is used as a foreign key in lots of other classes. You don't need to add a new instance to this class; all you're interested in is the <acronym>object ID</acronym> of the access method instance you want to extend: <programlisting>SELECT oid FROM pg_am WHERE amname = 'btree'; +----+ |oid | +----+ |403 | +----+ </programlisting> We will use that <command>SELECT</command> in a <command>WHERE</command> clause later. </para> <para> The <filename>amstrategies</filename> attribute exists to standardize comparisons across data types. For example, <acronym>B-tree</acronym>s impose a strict ordering on keys, lesser to greater. Since <productname>Postgres</productname> allows the user to define operators, <productname>Postgres</productname> cannot look at the name of an operator (eg, ">" or "<") and tell what kind of comparison it is. In fact, some access methods don't impose any ordering at all. For example, <acronym>R-tree</acronym>s express a rectangle-containment relationship, whereas a hashed data structure expresses only bitwise similarity based on the value of a hash function. <productname>Postgres</productname> needs some consistent way of taking a qualification in your query, looking at the operator and then deciding if a usable index exists. This implies that <productname>Postgres</productname> needs to know, for example, that the "<=" and ">" operators partition a <acronym>B-tree</acronym>. <productname>Postgres</productname> uses strategies to express these relationships between operators and the way they can be used to scan indices. </para> <para> Defining a new set of strategies is beyond the scope of this discussion, but we'll explain how <acronym>B-tree</acronym> strategies work because you'll need to know that to add a new operator class. In the <filename>pg_am</filename> class, the amstrategies attribute is the number of strategies defined for this access method. For <acronym>B-tree</acronym>s, this number is 5. These strategies correspond to <table tocentry="1"> <title>B-tree Strategies</title> <titleabbrev>B-tree</titleabbrev> <tgroup cols="2"> <thead> <row> <entry>Operation</entry> <entry>Index</entry> </row> </thead> <tbody> <row> <entry>less than</entry> <entry>1</entry> </row> <row> <entry>less than or equal</entry> <entry>2</entry> </row> <row> <entry>equal</entry> <entry>3</entry> </row> <row> <entry>greater than or equal</entry> <entry>4</entry> </row> <row> <entry>greater than</entry> <entry>5</entry> </row> </tbody> </tgroup> </table> </para> <para> The idea is that you'll need to add procedures corresponding to the comparisons above to the <filename>pg_amop</filename> relation (see below). The access method code can use these strategy numbers, regardless of data type, to figure out how to partition the <acronym>B-tree</acronym>, compute selectivity, and so on. Don't worry about the details of adding procedures yet; just understand that there must be a set of these procedures for <filename>int2, int4, oid,</filename> and every other data type on which a <acronym>B-tree</acronym> can operate. </para> <para> Sometimes, strategies aren't enough information for the system to figure out how to use an index. Some access methods require other support routines in order to work. For example, the <acronym>B-tree</acronym> access method must be able to compare two keys and determine whether one is greater than, equal to, or less than the other. Similarly, the <acronym>R-tree</acronym> access method must be able to compute intersections, unions, and sizes of rectangles. These operations do not correspond to user qualifications in SQL queries; they are administrative routines used by the access methods, internally. </para> <para> In order to manage diverse support routines consistently across all <productname>Postgres</productname> access methods, <filename>pg_am</filename> includes an attribute called <filename>amsupport</filename>. This attribute records the number of support routines used by an access method. For <acronym>B-tree</acronym>s, this number is one -- the routine to take two keys and return -1, 0, or +1, depending on whether the first key is less than, equal to, or greater than the second. <note> <para> Strictly speaking, this routine can return a negative number (< 0), 0, or a non-zero positive number (> 0). </para> </note> </para> <para> The <filename>amstrategies</filename> entry in pg_am is just the number of strategies defined for the access method in question. The procedures for less than, less equal, and so on don't appear in <filename>pg_am</filename>. Similarly, <filename>amsupport</filename> is just the number of support routines required by the access method. The actual routines are listed elsewhere. </para> <para> The next class of interest is pg_opclass. This class exists only to associate a name and default type with an oid. In pg_amop, every <acronym>B-tree</acronym> operator class has a set of procedures, one through five, above. Some existing opclasses are <filename>int2_ops, int4_ops, and oid_ops</filename>. You need to add an instance with your opclass name (for example, <filename>complex_abs_ops</filename>) to <filename>pg_opclass</filename>. The <filename>oid</filename> of this instance is a foreign key in other classes. <programlisting>INSERT INTO pg_opclass (opcname, opcdeftype) SELECT 'complex_abs_ops', oid FROM pg_type WHERE typname = 'complex_abs';SELECT oid, opcname, opcdeftype FROM pg_opclass WHERE opcname = 'complex_abs_ops'; +------+-----------------+------------+ |oid | opcname | opcdeftype | +------+-----------------+------------+ |17314 | complex_abs_ops | 29058 | +------+-----------------+------------+ </programlisting> Note that the oid for your <filename>pg_opclass</filename> instance will be different! Don't worry about this though. We'll get this number from the system later just like we got the oid of the type here. </para> <para> So now we have an access method and an operator class. We still need a set of operators; the procedure for defining operators was discussed earlier in this manual. For the complex_abs_ops operator class on Btrees, the operators we require are: <programlisting> absolute value less-than absolute value less-than-or-equal absolute value equal absolute value greater-than-or-equal absolute value greater-than </programlisting> </para> <para> Suppose the code that implements the functions defined is stored in the file <filename>PGROOT/src/tutorial/complex.c</filename> </para> <para> Part of the code look like this: (note that we will only show the equality operator for the rest of the examples. The other four operators are very similar. Refer to <filename>complex.c</filename> or <filename>complex.source</filename> for the details.) <programlisting>#define Mag(c) ((c)->x*(c)->x + (c)->y*(c)->y) bool complex_abs_eq(Complex *a, Complex *b) { double amag = Mag(a), bmag = Mag(b); return (amag==bmag); } </programlisting> </para> <para> There are a couple of important things that are happening below. </para> <para> First, note that operators for less-than, less-than-or equal, equal, greater-than-or-equal, and greater-than for <filename>int4</filename> are being defined. All of these operators are already defined for <filename>int4</filename> under the names <, <=, =, >=, and >. The new operators behave differently, of course. In order to guarantee that <productname>Postgres</productname> uses these new operators rather than the old ones, they need to be named differently from the old ones. This is a key point: you can overload operators in <productname>Postgres</productname>, but only if the operator isn't already defined for the argument types. That is, if you have < defined for (int4, int4), you can't define it again. <productname>Postgres</productname> does not check this when you define your operator, so be careful. To avoid this problem, odd names will be used for the operators. If you get this wrong, the access methods are likely to crash when you try to do scans.
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