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Add sqlite docs
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Datatypes In SQLite
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Table Of Contents
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<div id="toc_sub"><div class="fancy-toc1"><a href="#datatypes_in_sqlite">1. Datatypes In SQLite</a></div>
<div class="fancy-toc1"><a href="#storage_classes_and_datatypes">2. Storage Classes and Datatypes</a></div>
<div class="fancy-toc2"><a href="#boolean_datatype">2.1. Boolean Datatype</a></div>
<div class="fancy-toc2"><a href="#date_and_time_datatype">2.2. Date and Time Datatype</a></div>
<div class="fancy-toc1"><a href="#type_affinity">3. Type Affinity</a></div>
<div class="fancy-toc2"><a href="#determination_of_column_affinity">3.1. Determination Of Column Affinity</a></div>
<div class="fancy-toc3"><a href="#affinity_name_examples">3.1.1. Affinity Name Examples</a></div>
<div class="fancy-toc2"><a href="#affinity_of_expressions">3.2. Affinity Of Expressions</a></div>
<div class="fancy-toc2"><a href="#column_affinity_for_views_and_subqueries">3.3. Column Affinity For Views And Subqueries</a></div>
<div class="fancy-toc3"><a href="#column_affinity_for_compound_views">3.3.1. Column Affinity For Compound Views</a></div>
<div class="fancy-toc2"><a href="#column_affinity_behavior_example">3.4. Column Affinity Behavior Example</a></div>
<div class="fancy-toc1"><a href="#comparison_expressions">4. Comparison Expressions</a></div>
<div class="fancy-toc2"><a href="#sort_order">4.1. Sort Order</a></div>
<div class="fancy-toc2"><a href="#type_conversions_prior_to_comparison">4.2. Type Conversions Prior To Comparison</a></div>
<div class="fancy-toc2"><a href="#comparison_example">4.3. Comparison Example</a></div>
<div class="fancy-toc1"><a href="#operators">5. Operators</a></div>
<div class="fancy-toc1"><a href="#sorting_grouping_and_compound_selects">6. Sorting, Grouping and Compound SELECTs</a></div>
<div class="fancy-toc1"><a href="#collating_sequences">7. Collating Sequences</a></div>
<div class="fancy-toc2"><a href="#assigning_collating_sequences_from_sql">7.1. Assigning Collating Sequences from SQL</a></div>
<div class="fancy-toc2"><a href="#collation_sequence_examples">7.2. Collation Sequence Examples</a></div>
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<h1 id="datatypes_in_sqlite"><span>1. </span>Datatypes In SQLite</h1>
<p>Most SQL database engines (every SQL database engine other than SQLite,
as far as we know) uses static, rigid typing. With static typing, the datatype
of a value is determined by its container - the particular column in
which the value is stored.</p>
<p>SQLite uses a more general dynamic type system. In SQLite, the datatype
of a value is associated with the value itself, not with its container.
The dynamic type system of SQLite is backwards
compatible with the more common static type systems of other database engines
in the sense that SQL statements that work on statically typed databases
work the same way in SQLite. However, the dynamic typing in SQLite allows
it to do things which are not possible in traditional rigidly typed
databases. <a href="flextypegood.html">Flexible typing is a feature</a> of SQLite, not a bug.</p>
<p>Update:
As of version 3.37.0 (2021-11-27), SQLite provides <a href="stricttables.html">STRICT tables</a>
that do rigid type enforcement, for developers who prefer that kind of thing.
<a name="storageclasses"></a>
</p><h1 id="storage_classes_and_datatypes"><span>2. </span>Storage Classes and Datatypes</h1>
<p>Each value stored in an SQLite database (or manipulated by the
database engine) has one of the following storage classes:</p>
<ul>
<li><p><b>NULL</b>.
The value is a NULL value.</p>
</li><li><p><b>INTEGER</b>. The value is a signed integer, stored in 0, 1,
2, 3, 4, 6, or 8 bytes depending on the magnitude of the value.</p>
</li><li><p><b>REAL</b>. The value is a floating point value, stored as
an 8-byte IEEE floating point number.</p>
</li><li><p><b>TEXT</b>. The value is a text string, stored using the
database encoding (UTF-8, UTF-16BE or UTF-16LE).</p>
</li><li><p><b>BLOB</b>. The value is a blob of data, stored exactly as
it was input.</p>
</li></ul>
<p>A storage class is more general than a datatype.
The INTEGER storage class, for example, includes 7 different integer
datatypes of different lengths.
<a href="fileformat2.html#record_format">This makes a difference on disk.</a>
But as soon as INTEGER values are read off of disk and into memory for
processing, they are converted to the most general datatype
(8-byte signed integer).
And so for the most part, "storage class" is indistinguishable from
"datatype" and the two terms can be used interchangeably.</p>
<p>Any column in an SQLite version 3 database,
except an <a href="lang_createtable.html#rowid">INTEGER PRIMARY KEY</a> column, may be used to store a value
of any storage class.</p>
<p>All values in SQL statements, whether they are literals embedded in SQL
statement text or <a href="lang_expr.html#varparam">parameters</a> bound to
<a href="c3ref/stmt.html">precompiled SQL statements</a>
have an implicit storage class.
Under circumstances described below, the
database engine may convert values between numeric storage classes
(INTEGER and REAL) and TEXT during query execution.
</p>
<a name="boolean"></a>
<h2 id="boolean_datatype"><span>2.1. </span>Boolean Datatype</h2>
<p>SQLite does not have a separate Boolean storage class.
Instead, Boolean values are stored as integers 0 (false) and 1 (true).</p>
<p>SQLite recognizes the keywords "TRUE" and "FALSE",
as of version 3.23.0 (2018-04-02) but those keywords are
really just alternative spellings for the integer literals 1 and 0
respectively.
<a name="datetime"></a>
</p><h2 id="date_and_time_datatype"><span>2.2. </span>Date and Time Datatype</h2>
<p>SQLite does not have a storage class set aside for storing
dates and/or times.
Instead, the built-in <a href="lang_datefunc.html">Date And Time Functions</a> of SQLite are capable of
storing dates and times as TEXT, REAL, or INTEGER values:</p>
<ul>
<li><b>TEXT</b> as ISO8601 strings ("YYYY-MM-DD HH:MM:SS.SSS").
</li><li><b>REAL</b> as Julian day numbers, the number of days since
noon in Greenwich on November 24, 4714 B.C. according to the
proleptic Gregorian calendar.
</li><li><b>INTEGER</b> as Unix Time, the number of seconds since
1970-01-01 00:00:00 UTC.
</li></ul>
<p>Applications can choose to store dates and times in any of these
formats and freely convert between formats using the built-in
<a href="lang_datefunc.html">date and time functions</a>.</p>
<a name="affinity"></a>
<h1 id="type_affinity"><span>3. </span>Type Affinity</h1>
<p>
SQL database engines that use rigid typing will usually try to
automatically convert values to the appropriate datatype. Consider this:
</p><blockquote><pre>
CREATE TABLE t1(a INT, b VARCHAR(10));
INSERT INTO t1(a,b) VALUES('123',456);
</pre></blockquote>
<p>
Rigidly-typed database will convert the string '123' into an
integer 123 and the integer 456 into a string '456' prior to
doing the insert.
</p><p>
In order to maximize compatibility between SQLite and other database
engines, and so that the example above will work on SQLite as it does
on other SQL database engines,
SQLite supports the concept of "type affinity" on columns.
The type affinity of a column is the recommended type for data stored
in that column. The important idea here is that the type is recommended, not
required. Any column can still store any type of data.
It is just that some columns, given the choice, will prefer to use
one storage class over another. The preferred storage class for
a column is called its "affinity".
</p>
<p>Each column in an SQLite 3 database is assigned one of the
following type affinities:</p>
<ul>
<li>TEXT</li>
<li>NUMERIC</li>
<li>INTEGER</li>
<li>REAL</li>
<li>BLOB</li>
</ul>
<p>(Historical note: The "BLOB" type affinity used to be called "NONE".
But that term was easy to confuse with "no affinity" and so it was
renamed.)
</p><p>A column with TEXT affinity stores all data using storage classes
NULL, TEXT or BLOB. If numerical data is inserted into a column with
TEXT affinity it is converted into text form before being stored.</p>
<p>A column with NUMERIC affinity may contain values using all five
storage classes. When text data is inserted into a NUMERIC column, the
storage class of the text is converted to INTEGER or REAL (in order of
preference) if the text is a well-formed integer or real literal, respectively.
If the TEXT value is a well-formed integer literal that is too large
to fit in a 64-bit signed integer, it is converted to REAL.
For conversions between TEXT and REAL storage classes, only the first
15 significant decimal digits of the number are preserved.
If the TEXT value is not a well-formed integer or real literal,
then the value is stored as TEXT.
For the purposes of this paragraph, hexadecimal integer
literals are not considered well-formed and are stored as TEXT.
(This is done for historical compatibility with versions of SQLite
prior to <a href="releaselog/3_8_6.html">version 3.8.6</a> 2014-08-15 where hexadecimal integer
literals were first introduced into SQLite.)
If a floating point value that can be represented exactly as an integer
is inserted into a column with NUMERIC affinity, the value is
converted into an integer.
No attempt is made to convert NULL or BLOB values.</p>
<p>A string might look like a floating-point literal with
a decimal point and/or exponent notation but as long as
the value can be expressed as an integer, the NUMERIC affinity will convert
it into an integer. Hence, the string '3.0e+5' is stored in a
column with NUMERIC affinity as the integer 300000, not as the floating
point value 300000.0.</p>
<p>A column that uses INTEGER affinity behaves the same as a column
with NUMERIC affinity. The difference between INTEGER and NUMERIC affinity
is only evident in a <a href="lang_expr.html#castexpr">CAST expression</a>: The expression
"CAST(4.0 AS INT)" returns an integer 4, whereas
"CAST(4.0 AS NUMERIC)" leaves the value as a floating-point 4.0.</p>
<p>A column with REAL affinity behaves like a column with NUMERIC
affinity except that it forces integer values into floating point
representation. (As an internal optimization, small floating point
values with no fractional component and stored in columns with REAL
affinity are written to disk as integers in order to take up less
space and are automatically converted back into floating point as
the value is read out.
This optimization is completely invisible at the SQL level and can only
be detected by examining the raw bits of the database file.)</p>
<p>A column with affinity BLOB does not prefer one storage class over
another and no attempt is made to coerce data from one storage class into
another.</p>
<a name="affname"></a>
<h2 id="determination_of_column_affinity"><span>3.1. </span>Determination Of Column Affinity</h2>
<p>For tables not declared as <a href="stricttables.html">STRICT</a>,
the affinity of a column is determined by the declared type
of the column, according to the following rules in the order shown:</p>
<ol>
<li><p>If the declared type contains the string "INT" then it
is assigned INTEGER affinity.</p>
</li><li><p>If the declared type of the column contains any of the strings
"CHAR", "CLOB", or "TEXT" then that
column has TEXT affinity. Notice that the type VARCHAR contains the
string "CHAR" and is thus assigned TEXT affinity.</p>
</li><li><p>If the declared type for a column
contains the string "BLOB" or if
no type is specified then the column has affinity BLOB.</p>
</li><li><p>If the declared type for a column
contains any of the strings "REAL", "FLOA",
or "DOUB" then the column has REAL affinity.</p>
</li><li><p>Otherwise, the affinity is NUMERIC.</p>
</li></ol>
<p>Note that the order of the rules for determining column affinity
is important. A column whose declared type is "CHARINT" will match
both rules 1 and 2 but the first rule takes precedence and so the
column affinity will be INTEGER.</p>
<h3 id="affinity_name_examples"><span>3.1.1. </span>Affinity Name Examples</h3>
<p>The following table shows how many common datatype names from
more traditional SQL implementations are converted into affinities by the five rules of the
previous section. This table shows only a small subset of the
datatype names that SQLite will accept. Note that numeric arguments
in parentheses that following the type name (ex: "VARCHAR(255)") are
ignored by SQLite - SQLite does not impose any length restrictions
(other than the large global <a href="limits.html#max_length">SQLITE_MAX_LENGTH</a> limit) on the length of
strings, BLOBs or numeric values.</p>
<blockquote>
<table border="1" cellpadding="5">
<tr><th>Example Typenames From The<br>CREATE TABLE Statement<br>
or CAST Expression
</th><th>Resulting Affinity
</th><th>Rule Used To Determine Affinity
</th></tr><tr><td align="center" valign="top">
INT<br>
INTEGER<br>
TINYINT<br>
SMALLINT<br>
MEDIUMINT<br>
BIGINT<br>
UNSIGNED BIG INT<br>
INT2<br>
INT8
</td><td align="center">INTEGER
</td><td align="center">1
</td></tr><tr><td align="center" valign="top">
CHARACTER(20)<br>
VARCHAR(255)<br>
VARYING CHARACTER(255)<br>
NCHAR(55)<br>
NATIVE CHARACTER(70)<br>
NVARCHAR(100)<br>
TEXT<br>
CLOB
</td><td align="center">TEXT
</td><td align="center">2
</td></tr><tr><td align="center" valign="top">
BLOB<br>
<i>no datatype specified</i>
</td><td align="center">BLOB
</td><td align="center">3
</td></tr><tr><td align="center" valign="top">
REAL<br>
DOUBLE<br>
DOUBLE PRECISION<br>
FLOAT
</td><td align="center">REAL
</td><td align="center">4
</td></tr><tr><td align="center" valign="top">
NUMERIC<br>
DECIMAL(10,5)<br>
BOOLEAN<br>
DATE<br>
DATETIME
</td><td align="center">NUMERIC
</td><td align="center">5
</td></tr></table>
</blockquote>
<p>Note that a declared type of "FLOATING POINT" would give INTEGER
affinity, not REAL affinity, due to the "INT" at the end of "POINT".
And the declared type of "STRING" has an affinity of NUMERIC, not TEXT.
<a name="expraff"></a>
</p><h2 id="affinity_of_expressions"><span>3.2. </span>Affinity Of Expressions</h2>
<p>Every table column has a type affinity (one of BLOB, TEXT, INTEGER,
REAL, or NUMERIC) but expressions do not necessarily have an affinity.
</p><p>Expression affinity is determined by the following rules:
</p><ul>
<li><p>The right-hand operand of an IN or NOT IN
operator has no affinity if the operand is a list, or has the same
affinity as the affinity of the result set expression if the operand
is a SELECT.
</p></li><li><p>When an expression is a simple reference to a column of a
real table (not a <a href="lang_createview.html">VIEW</a> or subquery) then the expression
has the same affinity as the table column.
</p><ul>
<li><p>Parentheses around the column name are ignored. Hence if
X and Y.Z are column names, then (X) and (Y.Z) are also considered
column names and have the affinity of the corresponding columns.
</p></li><li><p>
Any operators applied to column names, including the no-op
unary "+" operator, convert the column name into an expression which
always has no affinity. Hence even if X and Y.Z are column names, the
expressions +X and +Y.Z are not column names and have no affinity.
</p></li></ul>
</li><li><p>An expression of the form "CAST(<i>expr</i> AS <i>type</i>)"
has an affinity that is the same as a column with a declared
type of "<i>type</i>".
</p></li><li><p>A COLLATE operator has the same affinity as its left-hand side operand.
</p></li><li><p>Otherwise, an expression has no affinity.
</p></li></ul>
<a name="affview"></a>
<h2 id="column_affinity_for_views_and_subqueries"><span>3.3. </span>Column Affinity For Views And Subqueries</h2>
<p>The "columns" of a <a href="lang_createview.html">VIEW</a> or FROM-clause subquery are really
the expressions
in the result set of the <a href="lang_select.html">SELECT</a> statement that implements the VIEW
or subquery. Thus, the affinity for columns of a VIEW or subquery
are determined by the expression affinity rules above.
Consider an example:
</p><blockquote><pre>
CREATE TABLE t1(a INT, b TEXT, c REAL);
CREATE VIEW v1(x,y,z) AS SELECT b, a+c, 42 FROM t1 WHERE b!=11;
</pre></blockquote>
<p>The affinity of the v1.x column will be the same as the affinity
of t1.b (TEXT), since v1.x maps directly into t1.b. But
columns v1.y and v1.z both have no affinity, since those columns
map into expression a+c and 42, and expressions always have no
affinity.
<a name="affcompoundview"></a>
</p><h3 id="column_affinity_for_compound_views"><span>3.3.1. </span>Column Affinity For Compound Views</h3>
<p>When the <a href="lang_select.html">SELECT</a> statement that implements a <a href="lang_createview.html">VIEW</a> or
FROM-clause subquery is a <a href="lang_select.html#compound">compound SELECT</a> then the affinity of
each column of the VIEW or subquery will
be the affinity of the corresponding result column for
one of the individual SELECT statements that make up
the compound.
However, it is indeterminate which of the SELECT statements will
be used to determine affinity.
Different constituent SELECT statements might be used to determine
affinity at different times during query evaluation. The choice
might vary across different versions of SQLite. The choice might
change between one query and the next in the same version of SQLite.
The choice might be different at different times within the same
query. Hence, you can never be sure what affinity will be used
for columns of a compound SELECT that have different affinities in
the constituent subqueries.
</p><p>Best practice is to avoid mixing affinities in a compound SELECT
if you care about the datatype of the result. Mixing affinities in
a compound SELECT can lead to surprising and unintuitive results.
See, for example, <a href="https://sqlite.org/forum/forumpost/02d7be94d7">forum post 02d7be94d7</a>.
</p><h2 id="column_affinity_behavior_example"><span>3.4. </span>Column Affinity Behavior Example</h2>
<p>The following SQL demonstrates how SQLite uses column affinity
to do type conversions when values are inserted into a table.</p>
<blockquote>
<pre>
CREATE TABLE t1(
t TEXT, -- text affinity by rule 2
nu NUMERIC, -- numeric affinity by rule 5
i INTEGER, -- integer affinity by rule 1
r REAL, -- real affinity by rule 4
no BLOB -- no affinity by rule 3
);
-- Values stored as TEXT, INTEGER, INTEGER, REAL, TEXT.
INSERT INTO t1 VALUES('500.0', '500.0', '500.0', '500.0', '500.0');
SELECT typeof(t), typeof(nu), typeof(i), typeof(r), typeof(no) FROM t1;
text|integer|integer|real|text
-- Values stored as TEXT, INTEGER, INTEGER, REAL, REAL.
DELETE FROM t1;
INSERT INTO t1 VALUES(500.0, 500.0, 500.0, 500.0, 500.0);
SELECT typeof(t), typeof(nu), typeof(i), typeof(r), typeof(no) FROM t1;
text|integer|integer|real|real
-- Values stored as TEXT, INTEGER, INTEGER, REAL, INTEGER.
DELETE FROM t1;
INSERT INTO t1 VALUES(500, 500, 500, 500, 500);
SELECT typeof(t), typeof(nu), typeof(i), typeof(r), typeof(no) FROM t1;
text|integer|integer|real|integer
-- BLOBs are always stored as BLOBs regardless of column affinity.
DELETE FROM t1;
INSERT INTO t1 VALUES(x'0500', x'0500', x'0500', x'0500', x'0500');
SELECT typeof(t), typeof(nu), typeof(i), typeof(r), typeof(no) FROM t1;
blob|blob|blob|blob|blob
-- NULLs are also unaffected by affinity
DELETE FROM t1;
INSERT INTO t1 VALUES(NULL,NULL,NULL,NULL,NULL);
SELECT typeof(t), typeof(nu), typeof(i), typeof(r), typeof(no) FROM t1;
null|null|null|null|null
</pre>
</blockquote>
<a name="comparisons"></a>
<h1 id="comparison_expressions"><span>4. </span>Comparison Expressions</h1>
<p>SQLite version 3 has the usual set of SQL comparison operators
including "=", "==", "&lt;", "&lt;=", "&gt;", "&gt;=", "!=", "",
"IN", "NOT IN", "BETWEEN", "IS", and "IS NOT", .
<a name="sortorder"></a>
</p><h2 id="sort_order"><span>4.1. </span>Sort Order</h2>
<p>The results of a comparison depend on the storage classes of the
operands, according to the following rules:</p>
<ul>
<li><p>A value with storage class NULL is considered less than any
other value (including another value with storage class NULL).</p>
</li><li><p>An INTEGER or REAL value is less than any TEXT or BLOB value.
When an INTEGER or REAL is compared to another INTEGER or REAL, a
numerical comparison is performed.</p>
</li><li><p>A TEXT value is less than a BLOB value. When two TEXT values
are compared an appropriate collating sequence is used to determine
the result. </p>
</li><li><p>When two BLOB values are compared, the result is
determined using memcmp().</p>
</li></ul>
<a name="compaff"></a>
<h2 id="type_conversions_prior_to_comparison"><span>4.2. </span>Type Conversions Prior To Comparison</h2>
<p>SQLite may attempt to convert values between the storage classes
INTEGER, REAL, and/or TEXT before performing a comparison.
Whether or not any conversions are attempted before the comparison takes
place depends on the type affinity of the operands.
</p><p>To "apply affinity" means to convert an operand to a particular storage
class if and only if the conversion does not lose essential information.
Numeric values can always be converted into TEXT. TEXT values
can be converted into numeric values if the text content is a well-formed
integer or real literal, but not a hexadecimal integer literal.
BLOB values are converted into TEXT values by simply interpreting
the binary BLOB content as a text string in the current database
encoding.
</p><p>Affinity is applied to operands of a comparison operator prior to
the comparison according to the following rules in the order shown:</p>
<ul>
<li><p>If one operand has INTEGER, REAL or NUMERIC affinity
and the other operand has TEXT or BLOB or no affinity
then NUMERIC affinity is applied to other operand.
</p></li><li><p>If one operand has TEXT affinity and the other has no affinity,
then TEXT affinity is applied to the other operand.
</p></li><li><p>Otherwise, no affinity is applied and both operands are compared
as is.</p>
</li></ul>
<p>The expression "a BETWEEN b AND c" is treated as two separate
binary comparisons "a &gt;= b AND a &lt;= c", even if that means
different affinities are applied to 'a' in each of the comparisons.
Datatype conversions in comparisons of the
form "x IN (SELECT y ...)" are handled as if
the comparison were really "x=y".
The expression "a IN (x, y, z, ...)" is equivalent to "a = +x OR
a = +y OR a = +z OR ...".
In other words, the values to the right of the IN operator (the "x", "y",
and "z" values in this example) are considered to have no affinity,
even if they happen to be column values or CAST expressions.
</p>
<h2 id="comparison_example"><span>4.3. </span>Comparison Example</h2>
<blockquote>
<pre>
CREATE TABLE t1(
a TEXT, -- text affinity
b NUMERIC, -- numeric affinity
c BLOB, -- no affinity
d -- no affinity
);
-- Values will be stored as TEXT, INTEGER, TEXT, and INTEGER respectively
INSERT INTO t1 VALUES('500', '500', '500', 500);
SELECT typeof(a), typeof(b), typeof(c), typeof(d) FROM t1;
text|integer|text|integer
-- Because column "a" has text affinity, numeric values on the
-- right-hand side of the comparisons are converted to text before
-- the comparison occurs.
SELECT a &lt; 40, a &lt; 60, a &lt; 600 FROM t1;
0|1|1
-- Text affinity is applied to the right-hand operands but since
-- they are already TEXT this is a no-op; no conversions occur.
SELECT a &lt; '40', a &lt; '60', a &lt; '600' FROM t1;
0|1|1
-- Column "b" has numeric affinity and so numeric affinity is applied
-- to the operands on the right. Since the operands are already numeric,
-- the application of affinity is a no-op; no conversions occur. All
-- values are compared numerically.
SELECT b &lt; 40, b &lt; 60, b &lt; 600 FROM t1;
0|0|1
-- Numeric affinity is applied to operands on the right, converting them
-- from text to integers. Then a numeric comparison occurs.
SELECT b &lt; '40', b &lt; '60', b &lt; '600' FROM t1;
0|0|1
-- No affinity conversions occur. Right-hand side values all have
-- storage class INTEGER which are always less than the TEXT values
-- on the left.
SELECT c &lt; 40, c &lt; 60, c &lt; 600 FROM t1;
0|0|0
-- No affinity conversions occur. Values are compared as TEXT.
SELECT c &lt; '40', c &lt; '60', c &lt; '600' FROM t1;
0|1|1
-- No affinity conversions occur. Right-hand side values all have
-- storage class INTEGER which compare numerically with the INTEGER
-- values on the left.
SELECT d &lt; 40, d &lt; 60, d &lt; 600 FROM t1;
0|0|1
-- No affinity conversions occur. INTEGER values on the left are
-- always less than TEXT values on the right.
SELECT d &lt; '40', d &lt; '60', d &lt; '600' FROM t1;
1|1|1
</pre>
</blockquote>
<p>All of the results in the example are the same if the comparisons are
commuted - if expressions of the form "a&lt;40" are rewritten
as "40&gt;a".
</p><h1 id="operators"><span>5. </span>Operators</h1>
<p>Mathematical operators (+, -, *, /, %, &lt;&lt;, &gt;&gt;,
&amp;, and |) interpret both operands as if they were numbers.
STRING or BLOB operands automatically convert into REAL or INTEGER values.
If the STRING or BLOB looks like a real number (if it has a decimal point
or an exponent) or if the value is outside the range that can be represented
as a 64-bit signed integer, then it converts to REAL. Otherwise the operand
converts to INTEGER.
The implied type conversion of mathematical operands is slightly different
from <a href="lang_expr.html#castexpr">CAST to NUMERIC</a> in that string and BLOB values that
look like real numbers but have no fractional part are kept as REAL
instead of being converted into INTEGER as they would be for <a href="lang_expr.html#castexpr">CAST to NUMERIC</a>.
The conversion from STRING or BLOB into REAL or INTEGER is performed
even if it is lossy and irreversible.
Some mathematical operators (%, &lt;&lt;, &gt;&gt;, &amp;, and |) expect
INTEGER operands. For those operators, REAL operands are converted into INTEGER
in the same way as a <a href="lang_expr.html#castexpr">CAST to INTEGER</a>.
The &lt;&lt;, &gt;&gt;, &amp;, and | operators always return an INTEGER (or NULL)
result, but the % operator returns either INTEGER or REAL (or NULL)
depending on the type of its operands.
A NULL operand on a mathematical operator yields a NULL result.
An operand on a mathematical operator that does not look in any way
numeric and is not NULL is converted to 0 or 0.0.
Division by zero gives a result of NULL.
</p>
<h1 id="sorting_grouping_and_compound_selects"><span>6. </span>Sorting, Grouping and Compound SELECTs</h1>
<p>When query results are sorted by an ORDER BY clause, values with storage
class NULL come first, followed by INTEGER and REAL values
interspersed in numeric order, followed by TEXT values in collating
sequence order, and finally BLOB values in memcmp() order. No storage
class conversions occur before the sort.</p>
<p>When grouping values with the GROUP BY clause values with
different storage classes are considered distinct, except for INTEGER
and REAL values which are considered equal if they are numerically
equal. No affinities are applied to any values as the result of a
GROUP by clause.</p>
<p>The compound SELECT operators UNION,
INTERSECT and EXCEPT perform implicit comparisons between values.
No affinity is applied to comparison operands for the implicit
comparisons associated with UNION, INTERSECT, or EXCEPT - the values
are compared as is.</p>
<a name="collation"></a>
<h1 id="collating_sequences"><span>7. </span>Collating Sequences</h1>
<p>When SQLite compares two strings, it uses a collating sequence or
collating function (two terms for the same thing) to determine which
string is greater or if the two strings are equal.
SQLite has three built-in collating functions: BINARY, NOCASE, and
RTRIM.</p>
<ul>
<li><b>BINARY</b> - Compares string data using memcmp(), regardless
of text encoding.</li>
<li><b>NOCASE</b> - Similar to binary, except that it uses
<a href="c3ref/stricmp.html">sqlite3_strnicmp()</a> for the comparison. Hence the 26 upper case
characters of ASCII are folded to their lower case equivalents before
the comparison is performed. Note that only ASCII characters
are case folded. SQLite does not attempt to do full
UTF case folding due to the size of the tables required.
Also note that any U+0000 characters in the string are considered
string terminators for comparison purposes.
</li><li><b>RTRIM</b> - The same as binary, except that trailing space
characters are ignored.</li>
</ul>
<p>An application can register additional collating functions using
the <a href="c3ref/create_collation.html">sqlite3_create_collation()</a> interface.</p>
<p>Collating functions only matter when comparing string values.
Numeric values are always compared numerically, and BLOBs are always
compared byte-by-byte using memcmp().</p>
<h2 id="assigning_collating_sequences_from_sql"><span>7.1. </span>Assigning Collating Sequences from SQL</h2>
<p>
Every column of every
table has an associated collating function. If no collating function
is explicitly defined, then the collating function defaults to BINARY.
The COLLATE clause of the <a href="lang_createtable.html#tablecoldef">column definition</a> is used
to define alternative collating functions for a column.
</p>
<a name="colrules"></a>
<p>
The rules for determining which collating function to use for a
binary comparison operator (=, &lt;, &gt;, &lt;=, &gt;=, !=, IS, and
IS NOT) are as follows:
</p><ol>
<li><p>If either operand has an explicit collating function assignment
using the postfix <a href="lang_expr.html#collateop">COLLATE operator</a>, then the explicit collating function
is used for comparison, with precedence to the collating function of the
left operand.</p></li>
<li><p>If either operand is a column, then the collating function of
that column is used with precedence to the left operand.
For the purposes of the previous sentence, a column name
preceded by one or more unary "+" operators and/or CAST operators
is still considered a column name.
</p></li>
<li><p>Otherwise, the BINARY collating function is used for comparison.
</p></li>
</ol>
<p>
An operand of a comparison is considered to have an explicit
collating function assignment (rule 1 above)
if any subexpression of the operand uses
the postfix <a href="lang_expr.html#collateop">COLLATE operator</a>. Thus, if a <a href="lang_expr.html#collateop">COLLATE operator</a> is used
anywhere in a comparison expression, the collating function defined
by that operator is used for string comparison regardless of what
table columns might be a part of that expression. If two or more
<a href="lang_expr.html#collateop">COLLATE operator</a> subexpressions appear anywhere in a comparison, the
left most explicit collating function is used regardless of how deeply the
COLLATE operators are nested in the expression and regardless of
how the expression is parenthesized.
</p>
<p>
The expression "x BETWEEN y and z" is logically
equivalent to two comparisons "x &gt;= y AND x &lt;= z" and works with
respect to collating functions as if it were two separate comparisons.
The expression "x IN (SELECT y ...)" is handled in the same way as the
expression "x = y" for the purposes of determining the collating sequence.
The collating sequence used for expressions of the form
"x IN (y, z, ...)" is the collating sequence of x.
If an explicit collating sequence is required on an IN operator
it should be applied to the left operand, like this:
"x COLLATE nocase IN (y,z, ...)".
</p>
<p>
Terms of the ORDER BY clause that is part of a <a href="lang_select.html">SELECT</a>
statement may be assigned a collating sequence using the
<a href="lang_expr.html#collateop">COLLATE operator</a>, in which case the specified collating function is
used for sorting.
Otherwise, if the expression sorted by an ORDER BY clause is
a column, then the collating sequence of the column is used to
determine sort order. If the expression is not a column and has no
COLLATE clause, then the BINARY collating sequence is used.
</p>
<h2 id="collation_sequence_examples"><span>7.2. </span>Collation Sequence Examples</h2>
<p>
The examples below identify the collating sequences that would be used to
determine the results of text comparisons that may be performed by various
SQL statements. Note that a text comparison may not be required, and no
collating sequence used, in the case of numeric, blob or NULL values.
</p>
<blockquote>
<pre>
CREATE TABLE t1(
x INTEGER PRIMARY KEY,
a, /* collating sequence BINARY */
b COLLATE BINARY, /* collating sequence BINARY */
c COLLATE RTRIM, /* collating sequence RTRIM */
d COLLATE NOCASE /* collating sequence NOCASE */
);
/* x a b c d */
INSERT INTO t1 VALUES(1,'abc','abc', 'abc ','abc');
INSERT INTO t1 VALUES(2,'abc','abc', 'abc', 'ABC');
INSERT INTO t1 VALUES(3,'abc','abc', 'abc ', 'Abc');
INSERT INTO t1 VALUES(4,'abc','abc ','ABC', 'abc');
/* Text comparison a=b is performed using the BINARY collating sequence. */
SELECT x FROM t1 WHERE a = b ORDER BY x;
--result 1 2 3
/* Text comparison a=b is performed using the RTRIM collating sequence. */
SELECT x FROM t1 WHERE a = b COLLATE RTRIM ORDER BY x;
--result 1 2 3 4
/* Text comparison d=a is performed using the NOCASE collating sequence. */
SELECT x FROM t1 WHERE d = a ORDER BY x;
--result 1 2 3 4
/* Text comparison a=d is performed using the BINARY collating sequence. */
SELECT x FROM t1 WHERE a = d ORDER BY x;
--result 1 4
/* Text comparison 'abc'=c is performed using the RTRIM collating sequence. */
SELECT x FROM t1 WHERE 'abc' = c ORDER BY x;
--result 1 2 3
/* Text comparison c='abc' is performed using the RTRIM collating sequence. */
SELECT x FROM t1 WHERE c = 'abc' ORDER BY x;
--result 1 2 3
/* Grouping is performed using the NOCASE collating sequence (Values
** 'abc', 'ABC', and 'Abc' are placed in the same group). */
SELECT count(*) FROM t1 GROUP BY d ORDER BY 1;
--result 4
/* Grouping is performed using the BINARY collating sequence. 'abc' and
** 'ABC' and 'Abc' form different groups */
SELECT count(*) FROM t1 GROUP BY (d || '') ORDER BY 1;
--result 1 1 2
/* Sorting or column c is performed using the RTRIM collating sequence. */
SELECT x FROM t1 ORDER BY c, x;
--result 4 1 2 3
/* Sorting of (c||'') is performed using the BINARY collating sequence. */
SELECT x FROM t1 ORDER BY (c||''), x;
--result 4 2 3 1
/* Sorting of column c is performed using the NOCASE collating sequence. */
SELECT x FROM t1 ORDER BY c COLLATE NOCASE, x;
--result 2 4 3 1
</pre>
</blockquote>
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