-C The\sCSV\soutput\smode\sdoes\snot\ssign-extend\sbytes\swhere\sthe\shigh-order\sbit\sis\sset.\nTicket\s#1397.\s(CVS\s2644)
-D 2005-08-30T20:12:02
+C Initial\swork\son\sdocumentation\sdescribing\sthe\soptimizer.\s(CVS\s2645)
+D 2005-08-30T22:44:06
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+Z 9fa61a38e2d65d933c87842c6fb4f4c0
--- /dev/null
+#
+# Run this TCL script to generate HTML for the goals.html file.
+#
+set rcsid {$Id: optimizer.tcl,v 1.1 2005/08/30 22:44:06 drh Exp $}
+source common.tcl
+header {The SQLite Query Optimizer}
+
+proc CODE {text} {
+ puts "<blockquote><pre>"
+ puts $text
+ puts "</pre></blockquote>"
+}
+proc IMAGE {name {caption {}}} {
+ puts "<center><img src=\"$name\">"
+ if {$caption!=""} {
+ puts "<br>$caption"
+ }
+ puts "</center>"
+}
+proc PARAGRAPH {text} {
+ puts "<p>$text</p>\n"
+}
+proc HEADING {level name} {
+ puts "<h$level>$name</h$level>"
+}
+
+HEADING 1 {The SQLite Query Optimizer}
+
+PARAGRAPH {
+ This article describes how the SQLite query optimizer works.
+ This is not something you have to know in order to use SQLite - many
+ programmers use SQLite successfully without the slightest hint of what
+ goes on in the inside.
+ But a basic understanding of what SQLite is doing
+ behind the scenes will help you to write more efficient SQL. And the
+ knowledge gained by studying the SQLite query optimizer has broad
+ application since most other relational database engines operate
+ similarly.
+ A solid understanding of how the query optimizer works is also
+ required before making meaningful changes or additions to the SQLite, so
+ this article should be read closely by anyone aspiring
+ to hack the source code.
+}
+
+HEADING 2 Background
+
+PARAGRAPH {
+ It is important to understand that SQL is a programming language.
+ SQL is a perculiar programming language in that it
+ describes <u>what</u> the programmer wants to compute not <u>how</u>
+ to compute it as most other programming languages do.
+ But perculiar or not, SQL is still just a programming language.
+}
+
+PARAGRAPH {
+ It is very helpful to think of each SQL statement as a separate
+ program.
+ An important job of the SQL database engine is to translate each
+ SQL statement from its descriptive form that specifies what the
+ information is desired (the <u>what</u>)
+ into a procedural form that specifies how to go
+ about acquiring the desired information (the <u>how</u>).
+ The task of translating the <u>what</u> into a
+ <u>how</u> is assigned to the query optimizer.
+}
+
+PARAGRAPH {
+ The beauty of SQL comes from the fact that the optimizer frees the programmer
+ from having to worry over the details of <u>how</u>. The programmer
+ only has to specify the <u>what</u> and then leave the optimizer
+ to deal with all of the minutae of implementing the
+ <u>how</u>. Thus the programmer is able to think and work at a
+ much higher level and leave the optimizer to stress over the low-level
+ work.
+}
+
+HEADING 2 {Database Layout}
+
+PARAGRAPH {
+ An SQLite database consists of one or more "b-trees".
+ Each b-tree contains zero or more "rows".
+ A single row contains a "key" and some "data".
+ In general, both the key and the data are arbitrary binary
+ data of any length.
+ The keys must all be unique within a single b-tree.
+ Rows are stored in order of increasing key values - each
+ b-tree has a comparision functions for keys that determines
+ this order.
+}
+
+PARAGRAPH {
+ In SQLite, each SQL table is stored as a b-tree where the
+ key is a 64-bit integer and the data is the content of the
+ table row. The 64-bit integer key is the ROWID. And, of course,
+ if the table has an INTEGER PRIMARY KEY, then that integer is just
+ an alias for the ROWID.
+}
+
+PARAGRAPH {
+ Consider the following block of SQL code:
+}
+
+CODE {
+ CREATE TABLE ex1(
+ id INTEGER PRIMARY KEY,
+ x VARCHAR(30),
+ y INTEGER
+ );
+ INSERT INTO ex1 VALUES(NULL,'abc',12345);
+ INSERT INTO ex1 VALUES(NULL,456,'def');
+ INSERT INTO ex1 VALUES(100,'hello','world');
+ INSERT INTO ex1 VALUES(-5,'abc','xyz');
+ INSERT INTO ex1 VALUES(54321,NULL,987);
+}
+
+PARAGRAPH {
+ This code generates a new b-tree (named "ex1") containing 5 rows.
+ This table can be visualized as follows:
+}
+IMAGE table-ex1b2.gif
+
+PARAGRAPH {
+ Note that the key for each row if the b-tree is the INTEGER PRIMARY KEY
+ for that row. (Remember that the INTEGER PRIMARY KEY is just an alias
+ for the ROWID.) The other fields of the table form the data for each
+ entry in the b-tree. Note also that the b-tree entries are in ROWID order
+ which is different from the order that they were originally inserted.
+}
+
+PARAGRAPH {
+ Now consider the following SQL query:
+}
+CODE {
+ SELECT y FROM ex1 WHERE x=456;
+}
+
+PARAGRAPH {
+ When the SQLite parser and query optimizer are handed this query, they
+ have to translate it into a procedure that will find the desired result.
+ In this case, they do what is call a "full table scan". They start
+ at the beginning of the b-tree that contains the table and visit each
+ row. Within each row, the value of the "x" column is tested and when it
+ is found to match 456, the value of the "y" column is output.
+ We can represent this procedure graphically as follows:
+}
+IMAGE fullscanb.gif
+
+PARAGRAPH {
+ A full table scan is the access method of last resort. It will always
+ work. But if the table contains millions of rows and you are only looking
+ a single one, it might take a very long time to find the particular row
+ you are interested in.
+ In particular, the time needed to access a single row of the table is
+ proportional to the total number of rows in the table.
+ So a big part of the job of the optimizer is to try to find ways to
+ satisfy the query without doing a full table scan.
+}
+PARAGRAPH {
+ The usual way to avoid doing a full table scan is use a binary search
+ to find the particular row or rows of interest in the table.
+ Consider the next query which searches on rowid instead of x:
+}
+CODE {
+ SELECT y FROM ex1 WHERE rowid=2;
+}
+
+PARAGRAPH {
+ In the previous query, we could not use a binary search for x because
+ the values of x were not ordered. But the rowid values are ordered.
+ So instead of having to visit every row of the b-tree looking for one
+ that has a rowid value of 2, we can do a binary search for that particular
+ row and output its corresponding y value. We show this graphically
+ as follows:
+}
+IMAGE direct1b.gif
+
+PARAGRAPH {
+ When doing a binary search, we only have to look at a number of
+ rows with is proportional to the logorithm of the number of entries
+ in the table. For a table with just 5 entires as in the example above,
+ the difference between a full table scan and a binary search is
+ negligible. In fact, the full table scan might be faster. But in
+ a database that has 5 million rows, a binary search will be able to
+ find the desired row in only about 23 tries, whereas the full table
+ scan will need to look at all 5 million rows. So the binary search
+ is about 200,000 times faster in that case.
+}
+PARAGRAPH {
+ A 200,000-fold speed improvement is huge. So we always want to do
+ a binary search rather than a full table scan when we can.
+}
+PARAGRAPH {
+ The problem with a binary search is that the it only works if the
+ fields you are search for are in sorted order. So we can do a binary
+ search when looking up the rowid because the rows of the table are
+ sorted by rowid. But we cannot use a binary search when looking up
+ x because the values in the x column are in no particular order.
+}
+PARAGRAPH {
+ The way to work around this problem and to permit binary searching on
+ fields like x is to provide an index.
+ An index is another b-tree.
+ But in the index b-tree the key is not the rowid but rather the field
+ or fields being indexed followed by the rowid.
+ The data in an index b-tree is empty - it is not needed or used.
+ The following diagram shows an index on the x field of our example table:
+}
+IMAGE index-ex1-x-b.gif
+
+PARAGRAPH {
+ An important point to note in the index are that they keys of the
+ b-tree are in sorted order. (Recall that NULL values in SQLite sort
+ first, followed by numeric values in numerical order, then strings, and
+ finally BLOBs.) This is the property that will allow use to do a
+ binary search for the field x. The rowid is also included in every
+ key for two reasons. First, by including the rowid we guarantee that
+ every key will be unique. And second, the rowid will be used to look
+ up the actual table entry after doing the binary search. Finally, note
+ that the data portion of the index b-tree serves no purpose and is thus
+ kept empty to save space in the disk file.
+}
+PARAGRAPH {
+ Remember what the original query example looked like:
+}
+CODE {
+ SELECT y FROM ex1 WHERE x=456;
+}
+
+PARAGRAPH {
+ The first time this query was encountered we had to do a full table
+ scan. But now that we have an index on x, we can do a binary search
+ on that index for the entry where x==456. Then from that entry we
+ can find the rowid value and use the rowid to look up the corresponding
+ entry in the original table. From the entry in the original table,
+ we can find the value y and return it as our result. The following
+ diagram shows this process graphically:
+}
+IMAGE indirect1b1.gif
+
+PARAGRAPH {
+ With the index, we are able to look up an entry based on the value of
+ x after visiting only a logorithmic number of b-tree entries. Unlike
+ the case where we were searching using rowid, we have to do two binary
+ searches for each output row. But for a 5-million row table, that is
+ still only 46 searches instead of 5 million for a 100,000-fold speedup.
+}
+
+HEADING 3 {Parsing The WHERE Clause}
+
+
+
+# parsing the where clause
+# rowid lookup
+# index lookup
+# index lookup without the table
+# how an index is chosen
+# joins
+# join reordering
+# order by using an index
+# group by using an index
+# OR -> IN optimization
+# Bitmap indices
+# LIKE and GLOB optimization
+# subquery flattening
+# MIN and MAX optimizations