4.1 Expressions
SQL expressions provide formal methods for evaluating, transforming and comparing values. SQL expressions may include table columns, variables, constants, literals, various statements and predicates and also other expressions. The complete list of possible tokens in expressions follows.
Description of Expression Elements
Column name
Identifier of a column from a specified table used in evaluations or as a search condition. A column of the array type cannot be an element in an expression except when used with the IS [NOT] NULL
predicate.
Array element
An expression may contain a reference to an array member i.e., <array_name>[*s*]
, where s
is the subscript of the member in the array <array_name>
Arithmetic operators
The +
, -
, *
, /
characters used to calculate values
Concatenation operator
The ||
(double-pipe) operator used to concatenate strings
Logical operators
The reserved words NOT
, AND
and OR
, used to combine simple search conditions in order to create complex conditions
Comparison operators
The symbols =
, <>
, !=
, ~=
, ^=
, <
, <=
, >
, >=
, !<
, ~<
, ^<
, !>
, ~>
and ^>
Comparison predicates
LIKE
, STARTING WITH
, CONTAINING
, SIMILAR TO
, BETWEEN
, IS [NOT] NULL
, IS [NOT] {TRUE | FALSE | UNKNOWN}
and IS [NOT] DISTINCT FROM
Existential predicates
Predicates used to check the existence of values in a set. The IN
predicate can be used both with sets of comma-separated constants and with subqueries that return a single column. The EXISTS
, SINGULAR
, ALL
, ANY
and SOME
predicates can be used only with subqueries.
Constant or Literal
Numbers, or string literals enclosed in apostrophes, Boolean values TRUE
, FALSE
and UNKOWN
, NULL
Datetime literal
An expression, similar to a string literal enclosed in apostrophes, that can be interpreted as a date, time or timestamp value. Datetime literals can be strings of characters and numerals, such as TIMESTAMP '25.12.2016 15:30:35'
, that can be resolved as datetime value, also used for string literals that can be cast to a datetime type.
Datetime mnemonics
A string literal with a description of a desired datetime value that can be cast to a datetime type. For example 'TODAY'
, 'NOW'
.
Context variable
An internally-defined
Local variable
Declared local variable, input or output parameter of a PSQL module (stored procedure, trigger, unnamed PSQL block in DSQL)
Positional parameter
A member of in an ordered group of one or more unnamed parameters passed to a stored procedure or prepared query
Subquery
A SELECT
statement enclosed in parentheses that returns a single (scalar) value or, when used in existential predicates, a set of values
Function identifier
The identifier of an internal or external function in a function expression
Type cast
An expression explicitly converting data of one data type to another using the CAST
function ( CAST (<value> AS <datatype>)
). For date/time literals only, the shorthand syntax <datatype> <value> is also supported (DATE '2016-12-25'
).
Conditional expression
Expressions using CASE and related internal functions
Parentheses
Bracket pairs (…)
used to group expressions. Operations inside the parentheses are performed before operations outside them. When nested parentheses are used, the most deeply nested expressions are evaluated first and then the evaluations move outward through the levels of nesting.
COLLATE
clause
Clause applied to CHAR and VARCHAR types to specify the character-set-specific collation sequence to use in string comparisons
NEXT VALUE FOR *sequence*
Expression for obtaining the next value of a specified generator (sequence). The internal GEN_ID()
function does the same.
AT
expression
Expression to change the time zone of a datetime.
A literal — or constant — is a value that is supplied directly in an SQL statement, not derived from an expression, a parameter, a column reference nor a variable. It can be a string or a number.
4.1.1.1 String Literals
A string literal is a series of characters enclosed between a pair of apostrophes (single quotes). The maximum length of a string literal is 32,765 for CHAR
/VARCHAR
, or 65,533 bytes for BLOB
; the maximum character count will be determined by the number of bytes used to encode each character.
Note
Double quotes are NOT VALID for quoting strings. The SQL standard reserves double quotes for a different purpose: quoting identifiers.
If a literal apostrophe is required within a string constant, it is escaped by prefixing it with another apostrophe. For example,
'Mother O''Reilly''s home-made hooch'
. Or use the alternative quote literal:q'{Mother O'Reilly's home-made hooch}'
Care should be taken with the string length if the value is to be written to a
CHAR
orVARCHAR
column. The maximum length for aCHAR
or VARCHAR` literal is 32,765 bytes.
The character set of a string constant is assumed to be the same as the character set of its destined storage.
4.1.1.1.1 String Literals in Hexadecimal Notation
From Firebird 2.5 forward, string literals can be entered in hexadecimal notation, so-called binary strings. Each pair of hex digits defines one byte in the string. Strings entered this way will be type BINARY
(or character set OCTETS
) by default, unless the introducer syntax is used to force a string to be interpreted as another character set.
Syntax
Examples
select x'4E657276656E' from rdb$database
-- returns 4E657276656E, a 6-byte 'binary' string
select _ascii x'4E657276656E' from rdb$database
-- returns 'Nerven' (same string, now interpreted as ASCII text)
select _iso8859_1 x'53E46765' from rdb$database
-- returns 'Säge' (4 chars, 4 bytes)
select _utf8 x'53C3A46765' from rdb$database
-- returns 'Säge' (4 chars, 5 bytes)
Notes
The client interface determines how binary strings are displayed to the user. The isql utility, for example, uses upper case letters A-F, while FlameRobin uses lower case letters. Other client programs may use other conventions, such as displaying spaces between the byte pairs: '4E 65 72 76 65 6E'
.
The hexadecimal notation allows any byte value (including 00) to be inserted at any position in the string. However, if you want to coerce it to anything other than OCTETS, it is your responsibility to supply the bytes in a sequence that is valid for the target character set.
4.1.1.1.2 Alternative String Literals
Since Firebird 3.0, it is possible to use a character, or character pair, other than the doubled (escaped) apostrophe, to embed a quoted string inside another string without the need to escape the quote. The keyword q
or Q
preceding a quoted string informs the parser that certain left-right pairs or pairs of identical characters within the string are the delimiters of the embedded string literal.
Syntax
<alternative string literal> ::=
{ q | Q } <quote> <start char> [<char> ...] <end char> <quote>
Rules
When <start char>
is (
, {
, [
or <
, <end char>
is paired up with its respective partner, viz. )
, }
, ]
and >
. In other cases, <end char>
is the same as <start char>
.
Inside the string, i.e. <char>
items, single (not escaped) quotes can be used. Each quote will be part of the result string.
Examples
select q'{abc{def}ghi}' from rdb$database; -- result: abc{def}ghi
select q'!That's a string!' from rdb$database; -- result: That's a string
4.1.1.1.3 Introducer Syntax for String Literals
If necessary, a string literal may be preceded by a character set name, itself prefixed with an underscore _. This is known as introducer syntax. Its purpose is to inform the engine about how to interpret and store the incoming string.
Example
INSERT INTO People
VALUES (_ISO8859_1 'Hans-Jörg Schäfer')
4.1.1.2 Number Literals
A number literal is any valid number in a supported notation:
In SQL, for numbers in the standard decimal notation, the decimal point is always represented by period character (
.
, full-stop, dot); thousands are not separated. Inclusion of commas, blanks, etc. will cause errors.Exponential notation is supported. For example, 0.0000234 can be expressed as
2.34e-5
.Hexadecimal notation is supported by Firebird 2.5 and higher versions — see below.
The format of the literal decides the type (<d>
for a decimal digit, <h>
for a hexadecimal digit):
4.1.1.2.1 Hexadecimal Notation for Numbers
From Firebird 2.5 forward, integer values can be entered in hexadecimal notation. Numbers with 1-8 hex digits will be interpreted as type INTEGER
; numbers with 9-16 hex digits as type BIGINT
; numbers with 17-32 hex digits as type INT128
.
Syntax
0{x|X}<hexdigits>
<hexdigits> ::= 1-32 of <hexdigit>
<hexdigit> ::= one of 0..9, A..F, a..f
Examples
select 0x6FAA0D3 from rdb$database -- returns 117088467
select 0x4F9 from rdb$database -- returns 1273
select 0x9E44F9A8 from rdb$database -- returns -1639646808 (an INTEGER)
select 0x09E44F9A8 from rdb$database -- returns 2655320488 (a BIGINT)
select 0x28ED678A4C987 from rdb$database -- returns 720001751632263
select 0xFFFFFFFFFFFFFFFF from rdb$database -- returns -1
4.1.1.2.1.1 Hexadecimal Value Ranges
Hex numbers in the range 0 .. 7FFF FFFF are positive
INTEGER
s with values between 0 .. 2147483647 decimal. To coerce a number toBIGINT
, prepend enough zeroes to bring the total number of hex digits to nine or above. That changes the type but not the value.Hex numbers between 8000 0000 .. FFFF FFFF require some attention:
When written with eight hex digits, as in
0x9E44F9A8
, a value is interpreted as 32-bitINTEGER
. Since the leftmost bit (sign bit) is set, it maps to the negative range -2147483648 .. -1 decimal.With one or more zeroes prepended, as in
0x09E44F9A8
, a value is interpreted as 64-bitBIGINT
in the range 0000 0000 8000 0000 .. 0000 0000 FFFF FFFF. The sign bit is not set now, so they map to the positive range 2147483648 .. 4294967295 decimal.
Thus, in this range — and only in this range — prepending a mathematically insignificant 0 results in a totally different value. This is something to be aware of.
Hex numbers between 1 0000 0000 .. 7FFF FFFF FFFF FFFF are all positive
BIGINT
.Hex numbers between 8000 0000 0000 0000 .. FFFF FFFF FFFF FFFF are all negative
BIGINT
.-
It is possible to write to a negative
SMALLINT
in hex, using a 4-byte hex number within the range0xFFFF8000
(decimal -32768) to0xFFFFFFFF
(decimal -1).
4.1.1.3 Boolean Literals
A Boolean literal is one of TRUE
, FALSE
or UNKNOWN
.
4.1.1.4 Datetime Literals
Formally, the SQL standard defines datetime literals as a prefix DATE
, TIME
and TIMESTAMP
followed by a string literal with a datetime format. Historically, Firebird documentation has referred to these datetime literals as "shorthand casts"
.
In Firebird 4.0, the use of datetime mnemonics in datetime literals (e.g. DATE 'TODAY'
) is no longer allowed.
Caution
The format of datetime literals and strings in Firebird 4.0 is more strict compared to earlier Firebird versions.
Datetime Literal Syntax
<datetime_literal> ::=
DATE '<date_format>'
| TIME { '<time_format>' | '<time_tz_format>' }
| TIMESTAMP { '<timestamp_format>' | '<timestamp_tz_format>' }
Datetime Format Syntax
<date_format> ::=
[YYYY<p>]MM<p>DD
| MM<p>DD[<p>{ YYYY | YY }]
| DD<p>MM[<p>{ YYYY | YY }]
<time_format> ::= HH[:mm[:SS[<f>NNNN]]]
<timestamp_format> ::= <date_format> [<space> <time_format>]
<time_zone> ::=
{ + | - }HH:MM
| time zone name (e.g. Europe/Berlin)
<time_tz_format> ::= <time_format> [<space>] <time_zone>
<timestamp_tz_format> ::= <timestamp_format> [<space>] <time_zone>
<p> ::= whitespace | . | - | /
<f> ::= : | .
Table 4.1.1.4.1 Date and Time Literal Format Arguments
Argument | Description |
---|---|
datetime_literal | Datetime literal |
date_format | Format of date |
time_format | Format of time |
timestamp_format | Format of timestamp |
time_zone | Format of time zone |
time_tz_format | Format of time with time zone |
timestamp_tz_format | Format of timestamp with time zone |
YYYY | Four-digit year |
YY | Two-digit year |
MM | Month It may contain 1 or 2 digits (1-12 or 01-12). You can also specify the three-letter shorthand name or the full name of a month in English. Case-insensitive |
DD | Day. It may contain 1 or 2 digits (1-31 or 01-31) |
HH | Hour. It may contain 1 or 2 digits (0-23 or 00-23) |
mm | Minutes. It may contain 1 or 2 digits (0-59 or 00-59) |
SS | Seconds. It may contain 1 or 2 digits (0-59 or 00-59) |
NNNN | Ten-thousandths of a second. It may contain from 1 to 4 digits (0-9999) |
p | A date separator, any of permitted characters. Leading and trailing spaces are ignored. The choice of separator in a date decides whether the parser reads |
f | Fractional seconds separator |
Important
Use of the complete specification of the year in the four-digit form — YYYY
— is strongly recommended, to avoid confusion in date calculations and aggregations.
Example
Tip
Although the Firebird datetime syntax is very flexible, to avoid ambiguity we recommend using the ISO-8601 order (year-month-day), -
as the date separator, 4 digits for year, 2 digits for month, day, minute and second, and .
as second.fractions separator. This format is also the only one defined in the SQL standard.
In short, use TIMESTAMP '2021-05-03 04:05:00.1 +02:00'
, not TIMESTAMP '3.5.21 4:5:0:1 +2:0'
.
SQL operators comprise operators for comparing, calculating, evaluating and concatenating values.
4.1.2.1 Operator Precedence
SQL Operators are divided into four types. Each operator type has a precedence, a ranking that determines the order in which operators and the values obtained with their help are evaluated in an expression. The higher the precedence of the operator type is, the earlier it will be evaluated. Each operator has its own precedence within its type, that determines the order in which they are evaluated in an expression.
Operators with the same precedence are evaluated from left to right. To force a different evaluation order, operations can be grouped by means of parentheses.
Table 4.1.2.1.1 Operator Type Precedence
4.1.2.1.1 Concatenation Operator
The concatenation operator, two pipe characters known as double pipe — ||
— concatenates (connects together) two character strings to form a single string. Character strings can be constants or values obtained from columns or other expressions.
Example
SELECT LAST_NAME || ', ' || FIRST_NAME AS FULL_NAME
FROM EMPLOYEE
4.1.2.1.2 Arithmetic Operators
Table 4.1.2.1.2.1 Arithmetic Operator Precedence
Operator | Purpose | Precedence |
---|---|---|
| Unary plus | 1 |
| Unary minus | 1 |
| Multiplication | 2 |
| Division | 2 |
| Addition | 3 |
| Subtraction | 3 |
Example
UPDATE T
SET A = 4 + 1/(B-C)*D
Note
Where operators have the same precedence, they are evaluated in left-to-right sequence.
4.1.2.1.3 Comparison Operators
Table 4.1.2.1.3.1 Comparison Operator Precedence
This group also includes comparison predicates BETWEEN
, LIKE
, CONTAINING
, SIMILAR TO
and others.
Example
IF (SALARY > 1400) THEN
…
See also.
4.1.2.1.4 Logical Operators
Table 4.1.2.1.4.1 Logical Operator Precedence
Operator | Purpose | Precedence |
---|---|---|
| Negation of a search condition | 1 |
| Combines two or more predicates, each of which must be true for the entire predicate to be true | 2 |
| Combines two or more predicates, of which at least one predicate must be true for the entire predicate to be true | 3 |
Example
IF (A < B OR (A > C AND A > D) AND NOT (C = D)) THEN …
4.1.2.2 NEXT VALUE FOR
Available inDSQL, PSQL
Syntax
NEXT VALUE FOR sequence-name
NEXT VALUE FOR
returns the next value of a sequence. SEQUENCE
is the SQL-standard term for what is historically called a generator in Firebird and its ancestor, InterBase. The NEXT VALUE FOR
operator is equivalent to the legacy GEN_ID (…, *increment*)
function with increment the increment stored in the metadata of the sequence. It is the recommended syntax for retrieving the next sequence value.
Note
Unlike the GEN_ID
function, the NEXT VALUE FOR
expression does not take any parameters and thus, provides no way to retrieve the current value of a sequence, nor to step the next value by a different value than the increment configured for the sequence. GEN_ID (…, <step value>)
is still needed for these tasks. A step value of 0 returns the current sequence value.
The increment of a sequence can be configured with the INCREMENT
clause of CREATE SEQUENCE or .
Example
NEW.CUST_ID = NEXT VALUE FOR CUSTSEQ;
See alsoSEQUENCE (GENERATOR),
4.1.2.3 AT
Time Zone Expression
Available inDSQL, PSQL
Syntax
<at expr> ::= <expr> AT { TIME ZONE <time zone string> | LOCAL }
The expression expresses a datetime value in a different time zone, while keeping the same UTC instant.
AT
translates a time/timestamp value to its corresponding value in another time zone. If LOCAL
is used, the value is converted to the session time zone.
When expr is a WITHOUT TIME ZONE
type, expr is first converted to a WITH TIME ZONE
in the session time zone and then transformed to the specified time zone.
Examples
select time '12:00 GMT' at time zone '-03:00' from rdb$database;
select current_timestamp at time zone 'America/Sao_Paulo' from rdb$database;
select timestamp '2018-01-01 12:00 GMT' at local from rdb$database;
A conditional expression is one that returns different values according to how a certain condition is met. It is composed by applying a conditional function construct, of which Firebird supports several. This section describes only one conditional expression construct: CASE
. All other conditional expressions apply internal functions derived from CASE
and are described in .
4.1.3.1 CASE
Available inDSQL, PSQL
The CASE
construct returns a single value from a number of possible values. Two syntactic variants are supported:
The simple
CASE
, comparable to a case construct in Pascal or a switch in CThe searched
CASE
, which works like a series ofif … else if … else if
clauses.
4.1.3.1.1 Simple CASE
Syntax
When this variant is used, test-expr is compared to the first expr, second expr and so on, until a match is found, and the corresponding result is returned. If no match is found, defaultresult from the optional ELSE
clause is returned. If there are no matches and no ELSE
clause, NULL
is returned.
The matching works identically to the =
operator. That is, if test-expr is NULL
, it does not match any expr, not even an expression that resolves to NULL
.
The returned result does not have to be a literal value: it might be a field or variable name, compound expression or NULL
literal.
Example
SELECT
NAME,
AGE,
CASE UPPER(SEX)
WHEN 'M' THEN 'Male'
WHEN 'F' THEN 'Female'
ELSE 'Unknown'
END GENDER,
RELIGION
A short form of the simple CASE
construct is the DECODE function.
4.1.3.1.2 Searched CASE
Syntax
CASE
WHEN <bool_expr> THEN <result>
[WHEN <bool_expr> THEN <result> …]
[ELSE <defaultresult>]
END
The bool_expr expression is one that gives a ternary logical result: TRUE
, FALSE
or NULL
. The first expression to return TRUE
determines the result. If no expressions return TRUE
, defaultresult from the optional ELSE
clause is returned as the result. If no expressions return TRUE
and there is no ELSE
clause, the result will be NULL
.
As with the simple CASE
construct, the result need not be a literal value: it might be a field or variable name, a compound expression, or be NULL
.
Example
CANVOTE = CASE
WHEN AGE >= 18 THEN 'Yes'
WHEN AGE < 18 THEN 'No'
ELSE 'Unsure'
END
NULL
is not a value in SQL, but a state indicating that the value of the element either is unknown or it does not exist. It is not a zero, nor a void, nor an empty string, and it does not act like any value.
When you use NULL
in numeric, string or date/time expressions, the result will always be NULL
. When you use NULL
in logical (Boolean) expressions, the result will depend on the type of the operation and on other participating values. When you compare a value to NULL
, the result will be unknown.
Important
NULL
means NULL
but, in Firebird, the logical result unknown is also represented by NULL
.
4.1.4.1 Expressions Returning NULL
Expressions in this list will always return NULL
:
1 + 2 + 3 + NULL
'Home ' || 'sweet ' || NULL
MyField = NULL
MyField <> NULL
NULL = NULL
not (NULL)
If it seems difficult to understand why, remember that NULL
is a state that stands for unknown.
4.1.4.2 NULL
in Logical Expressions
It has already been shown that NOT (NULL)
results in NULL
. The interaction is a bit more complicated for the logical AND
and logical OR
operators:
NULL or false → NULL
NULL or true → true
NULL or NULL → NULL
NULL and false → false
NULL and true → NULL
NULL and NULL → NULL
Tip
As a basic rule-of-thumb, if applying TRUE
instead of NULL
produces a different result than applying FALSE
, then the outcome of the original expression is unknown, or NULL
.
Examples
(1 = NULL) or (1 <> 1) -- returns NULL
(1 = NULL) or FALSE -- returns NULL
(1 = NULL) or (1 = 1) -- returns TRUE
(1 = NULL) or TRUE -- returns TRUE
(1 = NULL) or (1 = NULL) -- returns NULL
(1 = NULL) or UNKNOWN -- returns NULL
(1 = NULL) and (1 <> 1) -- returns FALSE
(1 = NULL) and FALSE -- returns FALSE
(1 = NULL) and (1 = 1) -- returns NULL
(1 = NULL) and TRUE -- returns NULL
(1 = NULL) and (1 = NULL) -- returns NULL
(1 = NULL) and UNKNOWN -- returns NULL
A subquery is a special form of expression that is actually a query embedded within another query. Subqueries are written in the same way as regular SELECT
queries, but they must be enclosed in parentheses. Subquery expressions can be used in the following ways:
To specify an output column in the SELECT list
To obtain values or conditions for search predicates (the
WHERE
,HAVING
clauses).To produce a set that the enclosing query can select from, as though were a regular table or view. Subqueries like this appear in the
FROM
clause (derived tables) or in a Common Table Expression (CTE)
4.1.5.1 Correlated Subqueries
A subquery can be correlated. A query is correlated when the subquery and the main query are interdependent. To process each record in the subquery, it is necessary to fetch a record in the main query; i.e. the subquery fully depends on the main query.
Sample Correlated Subquery
SELECT *
FROM Customers C
WHERE EXISTS
(SELECT *
FROM Orders O
WHERE C.cnum = O.cnum
AND O.adate = DATE '10.03.1990');
When subqueries are used to get the values of the output column in the SELECT
list, a subquery must return a scalar result (see below).
4.1.5.2 Scalar Results
Subqueries used in search predicates, other than existential and quantified predicates, must return a scalar result; that is, not more than one column from not more than one matching row or aggregation. If the result would return more, a run-time error will occur (Multiple rows in a singleton select…).
Note
Although it is reporting a genuine error, the message can be slightly misleading. A singleton SELECT is a query that must not be capable of returning more than one row. However, singleton and scalar are not synonymous: not all singleton SELECTS are required to be scalar; and single-column selects can return multiple rows for existential and quantified predicates.
Subquery Examples
A subquery as the output column in a
SELECT
list:SELECT
e.first_name,
e.last_name,
(SELECT
sh.new_salary
FROM
salary_history sh
WHERE
sh.emp_no = e.emp_no
ORDER BY sh.change_date DESC ROWS 1) AS last_salary
FROM
employee e
A subquery in the clause for obtaining the employee’s maximum salary and filtering by it: