Expression ::= OperatorExpression | CaseExpression | QuantifiedExpression
SQL++ is a highly composable expression language. Each SQL++ expression returns zero or more data model instances. There are three major kinds of expressions in SQL++. At the topmost level, a SQL++ expression can be an OperatorExpression (similar to a mathematical expression), an ConditionalExpression (to choose between alternative values), or a QuantifiedExpression (which yields a boolean value). Each will be detailed as we explore the full SQL++ grammar.
PrimaryExpr ::= Literal | VariableReference | ParenthesizedExpression | FunctionCallExpression | Constructor
The most basic building block for any SQL++ expression is PrimaryExpression. This can be a simple literal (constant) value, a reference to a query variable that is in scope, a parenthesized expression, a function call, or a newly constructed instance of the data model (such as a newly constructed record, array, or multiset of data model instances).
Literal ::= StringLiteral | IntegerLiteral | FloatLiteral | DoubleLiteral | <NULL> | <MISSING> | <TRUE> | <FALSE> StringLiteral ::= "\'" (<ESCAPE_APOS> | ~["\'"])* "\'" | "\"" (<ESCAPE_QUOT> | ~["\'"])* "\"" <ESCAPE_APOS> ::= "\\\'" <ESCAPE_QUOT> ::= "\\\"" IntegerLiteral ::= <DIGITS> <DIGITS> ::= ["0" - "9"]+ FloatLiteral ::= <DIGITS> ( "f" | "F" ) | <DIGITS> ( "." <DIGITS> ( "f" | "F" ) )? | "." <DIGITS> ( "f" | "F" ) DoubleLiteral ::= <DIGITS> | <DIGITS> ( "." <DIGITS> )? | "." <DIGITS>
Literals (constants) in SQL++ can be strings, integers, floating point values, double values, boolean constants, or special constant values like NULL
and MISSING
. The NULL
value is like a NULL
in SQL; it is used to represent an unknown field value. The specialy value MISSING
is only meaningful in the context of SQL++ field accesses; it occurs when the accessed field simply does not exist at all in a record being accessed.
The following are some simple examples of SQL++ literals.
'a string' "test string" 42
Different from standard SQL, double quotes play the same role as single quotes and may be used for string literals in SQL++.
VariableReference ::= <IDENTIFIER>|<DelimitedIdentifier> <IDENTIFIER> ::= <LETTER> (<LETTER> | <DIGIT> | "_" | "$")* <LETTER> ::= ["A" - "Z", "a" - "z"] DelimitedIdentifier ::= "\`" (<ESCAPE_APOS> | ~["\'"])* "\`"
A variable in SQL++ can be bound to any legal data model value. A variable reference refers to the value to which an in-scope variable is bound. (E.g., a variable binding may originate from one of the FROM
, WITH
or LET
clauses of a SELECT
statement or from an input parameter in the context of a function body.) Backticks, e.g., `id`, are used for delimited identifiers. Delimiting is needed when a variable's desired name clashes with a SQL++ keyword or includes characters not allowed in regular identifiers.
tweet id `SELECT` `my-function`
ParenthesizedExpression ::= "(" Expression ")" | Subquery
An expression can be parenthesized to control the precedence order or otherwise clarify a query. In SQL++, for composability, a subquery is also an parenthesized expression.
The following expression evaluates to the value 2.
( 1 + 1 )
FunctionCallExpression ::= FunctionName "(" ( Expression ( "," Expression )* )? ")"
Functions are included in SQL++, like most languages, as a way to package useful functionality or to componentize complicated or reusable SQL++ computations. A function call is a legal SQL++ query expression that represents the value resulting from the evaluation of its body expression with the given parameter bindings; the parameter value bindings can themselves be any SQL++ expressions.
The following example is a (built-in) function call expression whose value is 8.
length('a string')
CollectionConstructor ::= ArrayConstructor | MultisetConstructor ArrayConstructor ::= "[" ( Expression ( "," Expression )* )? "]" MultisetConstructor ::= "{{" ( Expression ( "," Expression )* )? "}}" RecordConstructor ::= "{" ( FieldBinding ( "," FieldBinding )* )? "}" FieldBinding ::= Expression ":" Expression
A major feature of SQL++ is its ability to construct new data model instances. This is accomplished using its constructors for each of the model's complex object structures, namely arrays, multisets, and records. Arrays are like JSON arrays, while multisets have bag semantics. Records are built from fields that are field-name/field-value pairs, again like JSON. (See the data model document for more details on each.)
The following examples illustrate how to construct a new array with 3 items, a new record with 2 fields, and a new multiset with 4 items, respectively. Array elements or multiset elements can be homogeneous (as in the first example), which is the common case, or they may be heterogeneous (as in the third example). The data values and field name values used to construct arrays, multisets, and records in constructors are all simply SQL++ expressions. Thus, the collection elements, field names, and field values used in constructors can be simple literals or they can come from query variable references or even arbitrarily complex SQL++ expressions (subqueries).
[ 'a', 'b', 'c' ] { 'project name': 'Hyracks', 'project members': [ 'vinayakb', 'dtabass', 'chenli', 'tsotras', 'tillw' ] } {{ 42, "forty-two!", { "rank": "Captain", "name": "America" }, 3.14159 }}
PathExpression ::= PrimaryExpression ( Field | Index )* Field ::= "." Identifier Index ::= "[" ( Expression | "?" ) "]"
Components of complex types in the data model are accessed via path expressions. Path access can be applied to the result of a SQL++ expression that yields an instance of a complex type, e.g., a record or array instance. For records, path access is based on field names. For arrays, path access is based on (zero-based) array-style indexing. SQL++ also supports an “I'm feeling lucky” style index accessor, [?], for selecting an arbitrary element from an array. Attempts to access non-existent fields or out-of-bound array elements produce the special value MISSING
.
The following examples illustrate field access for a record, index-based element access for an array, and also a composition thereof.
({"name": "MyABCs", "array": [ "a", "b", "c"]}).array (["a", "b", "c"])[2] ({"name": "MyABCs", "array": [ "a", "b", "c"]}).array[2]
Operators perform a specific operation on the input values or expressions. The syntax of an operator expression is as follows:
OperatorExpression ::= PathExpression | Operator OperatorExpression | OperatorExpression Operator (OperatorExpression)? | OperatorExpression <BETWEEN> OperatorExpression <AND> OperatorExpression
SQL++ provides a full set of operators that you can use within its statements. Here are the categories of operators:
The following table summarizes the precedence order (from higher to lower) of the major unary and binary operators:
Operator | Operation |
---|---|
EXISTS, NOT EXISTS | collection emptiness testing |
^ | exponentiation |
*, / | multiplication, division |
+, - | addition, subtraction |
|| | string concatenation |
IS NULL, IS NOT NULL, IS MISSING, IS NOT MISSING, IS UNKNOWN, IS NOT UNKNOWN | unknown value comparison |
BETWEEN, NOT BETWEEN | range comparison (inclusive on both sides) |
=, !=, <, >, <=, >=, LIKE, NOT LIKE, IN, NOT IN | comparison |
NOT | logical negation |
AND | conjunction |
OR | disjunction |
Arithemtic operators are used to exponentiate, add, subtract, multiply, and divide numeric values, or concatenate string values.
Operator | Purpose | Example |
---|---|---|
+, - | As unary operators, they denote a positive or negative expression | SELECT VALUE -1; |
+, - | As binary operators, they add or subtract | SELECT VALUE 1 + 2; |
*, / | Multiply, divide | SELECT VALUE 4 / 2.0; |
^ | Exponentiation | SELECT VALUE 2^3; |
|| | String concatenation | SELECT VALUE “ab”||“c”||“d”; |
Collection operators are used for membership tests (IN, NOT IN) or empty collection tests (EXISTS, NOT EXISTS).
Operator | Purpose | Example |
---|---|---|
IN | Membership test | SELECT * FROM ChirpMessages cm WHERE cm.user.lang IN [“en”, “de”]; |
NOT IN | Non-membership test | SELECT * FROM ChirpMessages cm WHERE cm.user.lang NOT IN [“en”]; |
EXISTS | Check whether a collection is not empty | SELECT * FROM ChirpMessages cm WHERE EXISTS cm.referredTopics; |
NOT EXISTS | Check whether a collection is empty | SELECT * FROM ChirpMessages cm WHERE NOT EXISTS cm.referredTopics; |
Comparison operators are used to compare values. The comparison operators fall into one of two sub-categories: missing value comparisons and regular value comparisons. SQL++ (and JSON) has two ways of representing missing information in a record - the presence of the field with a NULL for its value (as in SQL), and the absence of the field (which JSON permits). For example, the first of the following records represents Jack, whose friend is Jill. In the other examples, Jake is friendless a la SQL, with a friend field that is NULL, while Joe is friendless in a more natural (for JSON) way, i.e., by not having a friend field.
{“name”: “Jack”, “friend”: “Jill”}
{“name”: “Jake”, “friend”: NULL}
{“name”: “Joe”}
The following table enumerates all of SQL++'s comparison operators.
Operator | Purpose | Example |
---|---|---|
IS NULL | Test if a value is NULL | SELECT * FROM ChirpMessages cm WHERE cm.user.name IS NULL; |
IS NOT NULL | Test if a value is not NULL | SELECT * FROM ChirpMessages cm WHERE cm.user.name IS NOT NULL; |
IS MISSING | Test if a value is MISSING | SELECT * FROM ChirpMessages cm WHERE cm.user.name IS MISSING; |
IS NOT MISSING | Test if a value is not MISSING | SELECT * FROM ChirpMessages cm WHERE cm.user.name IS NOT MISSING; |
IS UNKNOWN | Test if a value is NULL or MISSING | SELECT * FROM ChirpMessages cm WHERE cm.user.name IS UNKNOWN; |
IS NOT UNKNOWN | Test if a value is neither NULL nor MISSING | SELECT * FROM ChirpMessages cm WHERE cm.user.name IS NOT UNKNOWN; |
BETWEEN | Test if a value is between a start value and a end value. The comparison is inclusive to both start and end values. | SELECT * FROM ChirpMessages cm WHERE cm.chirpId BETWEEN 10 AND 20; |
= | Equality test | SELECT * FROM ChirpMessages cm WHERE cm.chirpId=10; |
!= | Inequality test | SELECT * FROM ChirpMessages cm WHERE cm.chirpId!=10; |
< | Less than | SELECT * FROM ChirpMessages cm WHERE cm.chirpId<10; |
> | Greater than | SELECT * FROM ChirpMessages cm WHERE cm.chirpId>10; |
<= | Less than or equal to | SELECT * FROM ChirpMessages cm WHERE cm.chirpId<=10; |
>= | Greater than or equal to | SELECT * FROM ChirpMessages cm WHERE cm.chirpId>=10; |
LIKE | Test if the left side matches a pattern defined on the right side; in the pattern, “%” matches any string while “_” matches any character. | SELECT * FROM ChirpMessages cm WHERE cm.user.name LIKE “%Giesen%”; |
NOT LIKE | Test if the left side does not match a pattern defined on the right side; in the pattern, “%” matches any string while “_” matches any character. | SELECT * FROM ChirpMessages cm WHERE cm.user.name NOT LIKE “%Giesen%”; |
The following table summarizes how the missing value comparison operators work.
Operator | Non-NULL/Non-MISSING value | NULL | MISSING |
---|---|---|---|
IS NULL | FALSE | TRUE | MISSING |
IS NOT NULL | TRUE | FALSE | MISSING |
IS MISSING | FALSE | FALSE | TRUE |
IS NOT MISSING | TRUE | TRUE | FALSE |
IS UNKNOWN | FALSE | TRUE | TRUE |
IS NOT UNKNOWN | TRUE | FALSE | FALSE |
Logical operators perform logical NOT
, AND
, and OR
operations over Boolean values (TRUE
and FALSE
) plus NULL
and MISSING
.
Operator | Purpose | Example |
---|---|---|
NOT | Returns true if the following condition is false, otherwise returns false | SELECT VALUE NOT TRUE; |
AND | Returns true if both branches are true, otherwise returns false | SELECT VALUE TRUE AND FALSE; |
OR | Returns true if one branch is true, otherwise returns false | SELECT VALUE FALSE OR FALSE; |
The following table is the truth table for AND
and OR
.
A | B | A AND B | A OR B |
---|---|---|---|
TRUE | TRUE | TRUE | TRUE |
TRUE | FALSE | FALSE | TRUE |
TRUE | NULL | NULL | TRUE |
TRUE | MISSING | MISSING | TRUE |
FALSE | FALSE | FALSE | FALSE |
FALSE | NULL | FALSE | NULL |
FALSE | MISSING | FALSE | MISSING |
NULL | NULL | NULL | NULL |
NULL | MISSING | MISSING | NULL |
MISSING | MISSING | MISSING | MISSING |
The following table demonstrates the results of NOT
on all possible inputs.
A | NOT A |
---|---|
TRUE | FALSE |
FALSE | TRUE |
NULL | NULL |
MISSING | MISSING |
CaseExpression ::= SimpleCaseExpression | SearchedCaseExpression SimpleCaseExpression ::= <CASE> Expression ( <WHEN> Expression <THEN> Expression )+ ( <ELSE> Expression )? <END> SearchedCaseExpression ::= <CASE> ( <WHEN> Expression <THEN> Expression )+ ( <ELSE> Expression )? <END>
In a simple CASE
expression, the query evaluator searches for the first WHEN
... THEN
pair in which the WHEN
expression is equal to the expression following CASE
and returns the expression following THEN
. If none of the WHEN
... THEN
pairs meet this condition, and an ELSE
branch exists, it returns the ELSE
expression. Otherwise, NULL
is returned.
In a searched CASE expression, the query evaluator searches from left to right until it finds a WHEN
expression that is evaluated to TRUE
, and then returns its corresponding THEN
expression. If no condition is found to be TRUE
, and an ELSE
branch exists, it returns the ELSE
expression. Otherwise, it returns NULL
.
The following example illustrates the form of a case expression.
CASE (2 < 3) WHEN true THEN "yes" ELSE "no" END
QuantifiedExpression ::= ( (<ANY>|<SOME>) | <EVERY> ) Variable <IN> Expression ( "," Variable "in" Expression )* <SATISFIES> Expression (<END>)?
Quantified expressions are used for expressing existential or universal predicates involving the elements of a collection.
The following pair of examples illustrate the use of a quantified expression to test that every (or some) element in the set [1, 2, 3] of integers is less than three. The first example yields FALSE
and second example yields TRUE
.
It is useful to note that if the set were instead the empty set, the first expression would yield TRUE
(“every” value in an empty set satisfies the condition) while the second expression would yield FALSE
(since there isn't “some” value, as there are no values in the set, that satisfies the condition).
EVERY x IN [ 1, 2, 3 ] SATISFIES x < 3 SOME x IN [ 1, 2, 3 ] SATISFIES x < 3