Status Update (6 April 2021): Feedback, comments, error reports on this specification should be sent via GitHub https://github.com/w3c/qtspecs/issues or email to [email protected] .
Please check the errata for any errors or issues reported since publication.
See also translations .
This document is also available in these non-normative formats: and Change markings relative to previous edition .
( MIT , ERCIM , Keio , Beihang ), All Rights Reserved. W3C liability , trademark and document use rules apply.
XPath 3.0 is an expression language that allows the processing of values conforming to the data model defined in [XQuery and XPath Data Model (XDM) 3.0] . The data model provides a tree representation of XML documents as well as atomic values such as integers, strings, and booleans, and sequences that may contain both references to nodes in an XML document and atomic values. The result of an XPath expression may be a selection of nodes from the input documents, or an atomic value, or more generally, any sequence allowed by the data model. The name of the language derives from its most distinctive feature, the path expression, which provides a means of hierarchic addressing of the nodes in an XML tree. XPath 3.0 is a superset of [XML Path Language (XPath) Version 2.0] . A list of changes made since XPath 2.0 can be found in J Change Log . Here are some of the new features in XPath 3.0:
Dynamic function call ( 3.2.2 Dynamic Function Call ).
Inline function expression s ( 3.1.7 Inline Function Expressions ).
Support for union types.
Support for literal URLs in names, using EQNames .
A string concatenation operator ( 3.6 String Concatenation Expressions ).
A mapping operator ( 3.14 Simple map operator (!) ).
A backwards compatibility mode is provided to ensure that nearly all XPath 1.0 expressions continue to deliver the same result with XPath 3.0; exceptions to this policy are noted in [ I Backwards Compatibility with XPath 1.0 ].
This section describes the status of this document at the time of its publication. Other documents may supersede this document. A list of current W3C publications and the latest revision of this technical report can be found in the W3C technical reports index at http://www.w3.org/TR/.
This is one document in a set of six documents that have been progressed to Recommendation together (XQuery 3.0, XQueryX 3.0, XPath 3.0, Data Model 3.0, Functions and Operators 3.0, and Serialization 3.0).
This is a Recommendation of the W3C. It was jointly developed by the W3C XML Query Working Group and the W3C XSLT Working Group , each of which is part of the XML Activity .
This Recommendation of XPath 3.0 represents the second version previous W3C Recommendation..
This specification is designed to be referenced normatively from other specifications defining a host language for it; it is not intended to be implemented outside a host language. The implementability of this specification has been tested in the context of its normative inclusion in host languages defined by the XQuery 3.0 and XSLT 3.0 (expected in 2014) specifications; see the XQuery 3.0 implementation report (and, in the future, the WGs expect that there will also be a — possibly member-only — XSLT 3.0 implementation report) for details.
This document incorporates minor changes made against the Proposed Recommendation of 22 October 2013. Changes to this document since the Proposed Recommendation are detailed in J Change Log .
Please report errors in this document using W3C's public Bugzilla system (instructions can be found at http://www.w3.org/XML/2005/04/qt-bugzilla ). If access to that system is not feasible, you may send your comments to the W3C XSLT/XPath/XQuery public comments mailing list, [email protected] . It will be very helpful if you include the string “[XPath30]” in the subject line of your report, whether made in Bugzilla or in email. Please use multiple Bugzilla entries (or, if necessary, multiple email messages) if you have more than one comment to make. Archives of the comments and responses are available at http://lists.w3.org/Archives/Public/public-qt-comments/ .
This document has been reviewed by W3C Members, by software developers, and by other W3C groups and interested parties, and is endorsed by the Director as a W3C Recommendation. It is a stable document and may be used as reference material or cited from another document. W3C's role in making the Recommendation is to draw attention to the specification and to promote its widespread deployment. This enhances the functionality and interoperability of the Web.
This document was produced by groups operating under the February 2004 W3C Patent Policy. W3C maintains a public list of any patent disclosures made in connection with the deliverables of the XML Query Working Group and also maintains a public list of any patent disclosures made in connection with the deliverables of the XSL Working Group; those pages also include instructions for disclosing a patent. An individual who has actual knowledge of a patent which the individual believes contains Essential Claim(s) must disclose the information in accordance section 6 of the W3C Patent Policy.
1
Introduction
2
Basics
2.1
Expression
Context
2.1.1
Static Context
2.1.2
Dynamic Context
2.2
Processing Model
2.2.1
Data Model Generation
2.2.2
Schema Import Processing
2.2.3
Expression Processing
2.2.3.1
Static Analysis Phase
2.2.3.2
Dynamic Evaluation Phase
2.2.4
Consistency Constraints
2.3
Error
Handling
2.3.1
Kinds of Errors
2.3.2
Identifying and Reporting Errors
2.3.3
Handling Dynamic Errors
2.3.4
Errors and Optimization
2.4
Concepts
2.4.1
Document Order
2.4.2
Atomization
2.4.3
Effective Boolean Value
2.4.4
Input Sources
2.4.5
URI Literals
2.4.6
Resolving a Relative URI
Reference
2.5
Types
2.5.1
Predefined Schema Types
2.5.2
Namespace-sensitive Types
2.5.3
Typed Value and String Value
2.5.4
SequenceType Syntax
2.5.5
SequenceType Matching
2.5.5.1
Matching a SequenceType and a
Value
2.5.5.2
Matching an ItemType and an
2.5.5.3
Element Test
2.5.5.4
Schema Element Test
2.5.5.5
Attribute Test
2.5.5.6
Schema Attribute Test
2.5.5.7
Function Test
2.5.6
SequenceType Subtype
Relationships
2.5.6.1
The judgement subtype(A, B)
2.5.6.2
The judgement subtype-itemtype(Ai,
2.5.7
xs:error
2.6
Comments
3
Expressions
3.1
Primary Expressions
3.1.1
Literals
3.1.2
Variable References
3.1.3
Parenthesized Expressions
3.1.4
Context Item Expression
3.1.5
Static Function Calls
3.1.5.1
Evaluating Static and Dynamic
Function Calls
3.1.5.2
Function Conversion
Rules
3.1.5.3
Function Coercion
3.1.6
Named Function References
3.1.7
Inline Function Expressions
3.2
Postfix Expressions
3.2.1
Filter Expressions
3.2.2
Dynamic Function Call
3.3
Path
Expressions
3.3.1
Relative Path Expressions
3.3.1.1
Path operator (/)
3.3.2
Steps
3.3.2.1
3.3.2.2
Node Tests
3.3.3
Predicates within Steps
3.3.4
Unabbreviated Syntax
3.3.5
Abbreviated Syntax
3.4
Sequence Expressions
3.4.1
Constructing Sequences
3.4.2
Combining Node Sequences
3.5
Arithmetic
Expressions
3.6
String
Concatenation Expressions
3.7
Comparison
Expressions
3.7.1
Value Comparisons
3.7.2
General Comparisons
3.7.3
Node Comparisons
3.8
Logical Expressions
3.9
For
Expressions
3.10
Let
Expressions
3.11
Conditional
Expressions
3.12
Quantified Expressions
3.13
Expressions on
SequenceTypes
3.13.1
Instance Of
3.13.2
Cast
3.13.3
Castable
3.13.4
Constructor Functions
3.13.5
Treat
3.14
Simple map
operator (!)
A
XPath 3.0 Grammar
A.1
EBNF
A.1.1
Notation
A.1.2
Extra-grammatical
Constraints
A.1.3
Grammar Notes
A.2
Lexical
structure
A.2.1
Terminal Symbols
A.2.2
Terminal Delimitation
A.2.3
End-of-Line Handling
A.2.3.1
XML 1.0 End-of-Line
Handling
A.2.3.2
XML 1.1 End-of-Line
Handling
A.2.4
Whitespace Rules
A.2.4.1
Default Whitespace
Handling
A.2.4.2
Explicit Whitespace
Handling
A.3
Reserved Function Names
A.4
Precedence Order (Non-Normative)
B
Type Promotion
and Operator Mapping
B.1
Type
Promotion
B.2
Operator
Mapping
C
Context Components
C.1
Static Context
Components
C.2
Dynamic Context
Components
D
Implementation-Defined
Items
E
References
E.1
Normative References
E.2
Non-normative References
E.3
Background Material
F
Conformance
F.1
Static Typing Feature
G
Error Conditions
H
Glossary
(Non-Normative)
I
Backwards Compatibility
with XPath 1.0
(Non-Normative)
I.1
Incompatibilities when Compatibility
Mode is true
I.2
Incompatibilities when Compatibility
Mode is false
I.3
Incompatibilities when using a
Schema
J
Change Log
(Non-Normative)
J.1
Incompatibilities
J.2
Changes introduced during the Proposed
Recommendation period:
J.2.1
Substantive Changes
J.2.2
Editorial Changes
J.3
Changes
introduced during the Candidate Recommendation period:
J.3.1
Substantive Changes
J.3.2
Editorial Changes
J.3.3
Resolutions that are no
longer relevant.
J.4
Changes
introduced in the Candidate Recommendation
J.4.1
Substantive Changes
J.4.2
Editorial Changes
J.5
Changes introduced in prior Working
Drafts
J.5.1
Substantive
Changes
The primary purpose of XPath is to address the nodes of [XML 1.0] or [XML 1.1] trees. XPath gets its name from its use of a path notation for navigating through the hierarchical structure of an XML document. XPath uses a compact, non-XML syntax to facilitate use of XPath within URIs and XML attribute values.
[ Definition : XPath 3.0 operates on the abstract, logical structure of an XML document, rather than its surface syntax. This logical structure, known as the data model , is defined in [XQuery and XPath Data Model (XDM) 3.0] .]
XPath is designed to be embedded in a host language such as [XSL Transformations (XSLT) Version 3.0] or [XQuery 3.0: An XML Query Language] .
XQuery Version 3.0 is an extension of XPath Version 3.0. In general, any expression that is syntactically valid and executes successfully in both XPath 3.0 and XQuery 3.0 will return the same result in both languages. There are a few exceptions to this rule:
Because XQuery expands
predefined entity
references and character references
and XPath does not,
expressions containing these produce different results in the two
languages. For instance, the value of the string literal
"&"
is
&
in XQuery, and
&
in XPath. (XPath is often embedded in other
languages, which may expand predefined entity references or
character references before the XPath expression is evaluated.)
If XPath 1.0 compatibility mode is enabled, XPath behaves differently from XQuery in a number of ways, which are noted throughout this document, and listed in I.2 Incompatibilities when Compatibility Mode is false .
Because these languages are so closely related, their grammars and language descriptions are generated from a common source to ensure consistency, and the editors of these specifications work together closely.
XPath 3.0 also depends on and is closely related to the following specifications:
[XQuery and XPath Data Model (XDM) 3.0] defines the data model that underlies all XPath 3.0 expressions.
The type system of XPath 3.0 is based on XML Schema. It is implementation-defined whether the type system is based on [XML Schema 1.0] or [XML Schema 1.1] .
The built-in function library and the operators supported by XPath 3.0 are defined in [XQuery and XPath Functions and Operators 3.0] .
[ Definition : An XPath 3.0 Processor processes a query according to the XPath 3.0 specification.] [ Definition : An XPath 2.0 Processor processes a query according to the XPath 2.0 specification.] [ Definition : An XPath 1.0 Processor processes a query according to the XPath 1.0 specification.]
This document specifies a grammar for XPath 3.0, using the same basic EBNF notation used in [XML 1.0] . Unless otherwise noted (see A.2 Lexical structure ), whitespace is not significant in expressions . Grammar productions are introduced together with the features that they describe, and a complete grammar is also presented in the appendix [ A XPath 3.0 Grammar ]. The appendix is the normative version.
In the grammar productions in this document, named symbols are underlined and literal text is enclosed in double quotes. For example, the following productions describe the syntax of a static function call:
The productions should be read as follows: A static function call consists of an EQName followed by an ArgumentList . The argument list consists of an opening parenthesis, an optional list of one or more arguments (separated by commas), and a closing parenthesis.
This document normatively defines the static and dynamic semantics of XPath 3.0. In this document, examples and material labeled as "Note" are provided for explanatory purposes and are not normative.
Certain aspects of language processing are described in this specification as implementation-defined or implementation-dependent .
[ Definition : Implementation-defined indicates an aspect that may differ between implementations, but must be specified by the implementor for each particular implementation.]
[ Definition : Implementation-dependent indicates an aspect that may differ between implementations, is not specified by this or any W3C specification, and is not required to be specified by the implementor for any particular implementation.]
A language aspect described in this specification as implementation-defined or implementation dependent may be further constrained by the specifications of a host language in which XPath is embedded.
The basic building block of XPath 3.0 is the expression , which is a string of [Unicode] characters; the version of Unicode to be used is implementation-defined . The language provides several kinds of expressions which may be constructed from keywords, symbols, and operands. In general, the operands of an expression are other expressions. XPath 3.0 allows expressions to be nested with full generality.
Note:
This specification contains no assumptions or requirements regarding the character set encoding of strings of [Unicode] characters.
Like XML, XPath 3.0 is a case-sensitive language. Keywords in XPath 3.0 use lower-case characters and are not reserved—that is, names in XPath 3.0 expressions are allowed to be the same as language keywords, except for certain unprefixed function-names listed in A.3 Reserved Function Names .
[
Definition
:
In the
data model
, a
value
is always a
sequence
.] [
Definition
: A
sequence
is
an ordered collection of zero or more
items
.] [
Definition
: An
item
is either an
atomic value
, a
node
, or a
function
DM30
.]
[
Definition
: An
atomic value
is a value in
the value space of an
atomic type
, as defined in
[XML Schema 1.0]
or
[XML
Schema 1.1]
.] [
Definition
: A
node
is an instance of one of the
node kinds
defined in
[XQuery
and XPath Data Model (XDM) 3.0]
.] Each node has a unique
node identity
, a
typed value
, and a
string
value
. In addition, some nodes have a
name
. The
typed
value
of a node is a sequence of zero or more atomic values.
The
string value
of a node is a value of type
xs:string
. The
name
of a node is a value of
type
xs:QName
.
[ Definition : A sequence containing exactly one item is called a singleton .] An item is identical to a singleton sequence containing that item. Sequences are never nested—for example, combining the values 1, (2, 3), and ( ) into a single sequence results in the sequence (1, 2, 3). [ Definition : A sequence containing zero items is called an empty sequence .]
[ Definition : The term XDM instance is used, synonymously with the term value , to denote an unconstrained sequence of items in the data model .]
In the XPath 3.0 grammar, most names are specified using the EQName production, which allows lexical QNames , and also allows a namespace URI to be specified as a literal:
Names in XPath 3.0 can be bound to namespaces, and are based on the syntax and semantics defined in [XML Names] . [ Definition : A lexical QName is a name that conforms to the syntax of [http://www.w3.org/TR/REC-xml-names/#NT-QName] .] A lexical QName consists of an optional namespace prefix and a local name. If the namespace prefix is present, it is separated from the local name by a colon. A lexical QName with a prefix can be converted into an expanded QName by resolving its namespace prefix to a namespace URI, using the statically known namespaces . The semantics of a lexical QName without a prefix depend on the expression in which it is found.
[ Definition : An expanded QName consists of an optional namespace URI and a local name. An expanded QName also retains its original namespace prefix (if any), to facilitate casting the expanded QName into a string.] Two expanded QNames are equal if their namespace URIs are equal and their local names are equal (even if their namespace prefixes are not equal). Namespace URIs and local names are compared on a codepoint basis, without further normalization.
The
EQName
production allows
expanded QNames to be specified using either a
QName
or a
URIQualifiedName
, which allows
the namespace URI to be specified as a literal. The namespace URI
value is whitespace normalized according to the rules for the
xs:anyURI
type in
[XML Schema
1.0]
or
[XML Schema 1.1]
. It is a
static error
[
err:XQST0070
] if
the
namespace URI
for an EQName is
http://www.w3.org/2000/xmlns/
.
Here are some examples of EQName s:
pi
is a
lexical QName
without a namespace prefix.
math:pi
is a
lexical QName
with a namespace prefix.
Q{http://www.w3.org/2005/xpath-functions/math}pi
specifies the namespace URI using a
BracedURILiteral
; it is not a
lexical QName
.
This document uses the following namespace prefixes to represent the namespace URIs with which they are listed. Use of these namespace prefix bindings in this document is not normative.
xs = http://www.w3.org/2001/XMLSchema
fn = http://www.w3.org/2005/xpath-functions
err = http://www.w3.org/2005/xqt-errors
(see
2.3.2 Identifying and Reporting
Errors
).
Element nodes have a property called in-scope namespaces . [ Definition : The in-scope namespaces property of an element node is a set of namespace bindings, each of which associates a namespace prefix with a URI.] For a given element, one namespace binding may have an empty prefix; the URI of this namespace binding is the default namespace within the scope of the element.
In [XML Path Language (XPath) Version 1.0] , the in-scope namespaces of an element node are represented by a collection of namespace nodes arranged on a namespace axis . As of XPath 2.0, the namespace axis is deprecated and need not be supported by a host language. A host language that does not support the namespace axis need not represent namespace bindings in the form of nodes.
[ Definition : Within this specification, the term URI refers to a Universal Resource Identifier as defined in [RFC3986] and extended in [RFC3987] with the new name IRI .] The term URI has been retained in preference to IRI to avoid introducing new names for concepts such as "Base URI" that are defined or referenced across the whole family of XML specifications.
Note:
In most contexts, processors are not required to raise errors if a URI is not lexically valid according to [RFC3986] and [RFC3987] . See 2.4.5 URI Literals for details.
[ Definition : The expression context for a given expression consists of all the information that can affect the result of the expression.]
This information is organized into two categories called the static context and the dynamic context .
[ Definition : The static context of an expression is the information that is available during static analysis of the expression, prior to its evaluation.] This information can be used to decide whether the expression contains a static error .
The individual components of the static context are described below. A default initial value for each component must be specified by the host language. The scope of each component is specified in C.1 Static Context Components .
[
Definition
:
XPath 1.0
compatibility mode.
This value is
true
if rules for backward compatibility with XPath
Version 1.0 are in effect; otherwise it is
false
.
]
[
Definition
:
Statically known
namespaces.
This is a
mapping from prefix to namespace
URI that defines
all the namespaces that are known during
static processing of a given expression.] The URI value is
whitespace normalized according to the rules for the
xs:anyURI
type in
[XML Schema
1.0]
or
[XML Schema 1.1]
. Note the
difference between
in-scope namespaces
, which is a
dynamic property of an element node, and
statically known namespaces
, which is a
static property of an expression.
[
Definition
:
Default
element/type namespace.
This is a namespace URI or
absent
DM30
.
The namespace URI, if present, is used for any unprefixed QName
appearing in a position where an element or type name is expected.]
The URI value is whitespace normalized according to the rules for
the
xs:anyURI
type in
[XML
Schema 1.0]
or
[XML Schema 1.1]
.
[
Definition
:
Default function
namespace.
This is a namespace URI or
absent
DM30
.
The namespace URI, if present, is used for any unprefixed QName
appearing in a position where a function name is expected.] The URI
value is whitespace normalized according to the rules for the
xs:anyURI
type in
[XML Schema
1.0]
or
[XML Schema 1.1]
.
[ Definition : In-scope schema definitions. This is a generic term for all the element declarations, attribute declarations, and schema type definitions that are in scope during static analysis of an expression.] It includes the following three parts:
[ Definition : In-scope schema types. Each schema type definition is identified either by an expanded QName (for a named type ) or by an implementation-dependent type identifier (for an anonymous type ). The in-scope schema types include the predefined schema types described in 2.5.1 Predefined Schema Types .
[ Definition : In-scope element declarations. Each element declaration is identified either by an expanded QName (for a top-level element declaration) or by an implementation-dependent element identifier (for a local element declaration). ] An element declaration includes information about the element's substitution group affiliation.
[ Definition : Substitution groups are defined in [XML Schema 1.0] and [XML Schema 1.1] Part 1. Informally, the substitution group headed by a given element (called the head element ) consists of the set of elements that can be substituted for the head element without affecting the outcome of schema validation.]
[ Definition : In-scope attribute declarations. Each attribute declaration is identified either by an expanded QName (for a top-level attribute declaration) or by an implementation-dependent attribute identifier (for a local attribute declaration). ]
[ Definition : In-scope variables. This is a mapping from expanded QName to type. It defines the set of variables that are available for reference within an expression. The expanded QName is the name of the variable, and the type is the static type of the variable.]
An expression that binds a variable extends the in-scope variables , within the scope of the variable, with the variable and its type. Within the body of an inline function expression , the in-scope variables are extended by the names and types of the function parameters .
[ Definition : Context item static type. This component defines the static type of the context item within the scope of a given expression.]
[ Definition : Statically known function signatures. This is a mapping from (expanded QName, arity) to function signature DM30 . ] The entries in this mapping define the set of statically known functions — those functions that are available to be called from a static function call , or referenced from a named function reference . Each such function is uniquely identified by its expanded QName and arity (number of parameters). Given a statically known function's expanded QName and arity, this component supplies the function's signature DM30 , which specifies various static properties of the function, including types.
The statically known function signatures include the signatures of functions from a variety of sources, including built-in functions described in [XQuery and XPath Functions and Operators 3.0] , and constructor functions . Implementations must ensure that no two functions have the same expanded QName and the same arity (even if the signatures are consistent).
[ Definition : Statically known collations. This is an implementation-defined mapping from URI to collation. It defines the names of the collations that are available for use in processing expressions.] [ Definition : A collation is a specification of the manner in which strings and URIs are compared and, by extension, ordered. For a more complete definition of collation, see [XQuery and XPath Functions and Operators 3.0] .]
[
Definition
:
Default collation.
This
identifies one of the collations in
statically known collations
as the
collation to be used by functions and operators for comparing and
ordering values of type
xs:string
and
xs:anyURI
(and types derived from them) when no
explicit collation is specified.]
[
Definition
:
Static Base URI.
This is
an absolute URI, used to resolve
relative URI
references.
]
If
E
is a
subexpression of
F
then the Static Base URI of
E
is the same as the Static Base URI of
F
.
There are no constructs in XPath that require resolution of
relative URI references during static analysis.
The Static
Base URI is available during dynamic evaluation by use of the
fn:static-base-uri
function, and is used implicitly
during dynamic evaluation by functions such as
fn:doc
.
Relative URI references are resolved as described in
2.4.6 Resolving a Relative URI
Reference
.
[
Definition
:
Statically known
documents.
This is a mapping from strings to types. The string
represents the absolute URI of a resource that is potentially
available using the
fn:doc
function. The type is the
static type
of a
call to
fn:doc
with the given URI as its literal
argument. ] If the argument to
fn:doc
is a string
literal that is not present in
statically known documents
,
then the
static
type
of
fn:doc
is
document-node()?
.
Note:
The purpose of the
statically known documents
is to
provide static type information, not to determine which documents
are available. A URI need not be found in the
statically known
documents
to be accessed using
fn:doc
.
[
Definition
:
Statically known
collections.
This is a mapping from strings to types. The
string represents the absolute URI of a resource that is
potentially available using the
fn:collection
function. The type is the type of the sequence of nodes that would
result from calling the
fn:collection
function with
this URI as its argument.] If the argument to
fn:collection
is a string literal that is not present
in
statically known collections
, then the
static type
of
fn:collection
is
node()*
.
Note:
The purpose of the
statically known collections
is to
provide static type information, not to determine which collections
are available. A URI need not be found in the
statically known
collections
to be accessed using
fn:collection
.
[
Definition
:
Statically known default collection type.
This is the type
of the sequence of nodes that would result from calling the
fn:collection
function with no arguments.] Unless
initialized to some other value by an implementation, the value of
statically known default collection type
is
node()*
.
[
Definition
:
Statically
known decimal formats.
This is
a mapping from QName to
decimal format, with one default format that has no visible
name.
Each format is used for serializing decimal numbers
using
fn:format-number()
.]
Each decimal format contains three sets of properties,
which
control the interpretation of characters in the
picture string supplied to the
fn:format-number
function, and also specify characters that may appear in the result
of formatting the number.
The following attributes specify characters used to format the number per se:
[ Definition : decimal-separator specifies the character used for the decimal-separator-symbol; the default value is the period character (.)]
[ Definition : grouping-separator specifies the character used for the grouping-separator-symbol, which is typically used as a thousands separator; the default value is the comma character (,)]
[ Definition : percent specifies the character used for the percent-symbol; the default value is the percent character (%)]
[ Definition : per-mille specifies the character used for the per-mille-symbol; the default value is the Unicode per-mille character (#x2030)]
[ Definition : zero-digit specifies the character used for the zero-digit-symbol; the default value is the digit zero (0). This character must be a digit (category Nd in the Unicode property database), and it must have the numeric value zero. This attribute implicitly defines the Unicode character that is used to represent each of the values 0 to 9 in the final result string: Unicode is organized so that each set of decimal digits forms a contiguous block of characters in numerical sequence.]
The following attributes control the interpretation of characters in the picture string supplied to the format-number function. In each case the value must be a single character.
[ Definition : digit-sign specifies the character used for the digit-sign in the picture string; the default value is the number sign character (#)]
[ Definition : pattern-separator specifies the character used for the pattern-separator-symbol, which separates positive and negative sub-pictures in a picture string; the default value is the semi-colon character (;)]
The following attributes specify characters or strings that may appear in the result of formatting the number:
[ Definition : infinity specifies the string used for the infinity-symbol; the default value is the string "Infinity"]
[ Definition : NaN specifies the string used for the NaN-symbol, which is used to represent the value NaN (not-a-number); the default value is the string "NaN"]
[ Definition : minus-sign specifies the character used for the minus-sign-symbol; the default value is the hyphen-minus character (-, #x2D). The value must be a single character.]
Context[ Definition : The dynamic context of an expression is defined as information that is available at the time the expression is evaluated.] If evaluation of an expression relies on some part of the dynamic context that is absent DM30 , a dynamic error is raised [ err:XPDY0002 ].
The individual components of the dynamic context are described below. Further rules governing the semantics of these components can be found in C.2 Dynamic Context Components .
The dynamic context consists of all the components of the static context , and the additional components listed below.
[ Definition : The first three components of the dynamic context (context item, context position, and context size) are called the focus of the expression. ] The focus enables the processor to keep track of which items are being processed by the expression. If any component in the focus is defined, all components of the focus are defined. [ Definition : A singleton focus is a focus that refers to a single item; in a singleton focus, context item is set to the item, context position = 1 and context size = 1.]
Certain language constructs, notably the
path operator
E1/E2
,
the
simple mapping operator
,
and the
predicate
E1[E2]
,
create a new focus for the evaluation of a sub-expression. In these
constructs,
E2
is evaluated once for each item in the
sequence that results from evaluating
E1
. Each time
E2
is evaluated, it is evaluated with a different
focus. The focus for evaluating
E2
is referred to
below as the
inner focus
, while the focus for evaluating
E1
is referred to as the
outer focus
. The inner
focus exists only while
E2
is being evaluated. When
this evaluation is complete, evaluation of the containing
expression continues with its original focus unchanged.
[
Definition
: The
context item
is the
item
currently being
processed.] [
Definition
: When the context item is a node, it
can also be referred to as the
context node
.] The context
item is returned by an expression consisting of a single dot
(
.
). When an expression
E1/E2
or
E1[E2]
is evaluated, each item in the sequence
obtained by evaluating
E1
becomes the context item in
the inner focus for an evaluation of
E2
.
[ Definition : The initial context item is a context item that an implementation can set before processing a query begins. The query body and the prolog of every module in a query share the same initial context item.]
[
Definition
: The
context position
is
the position of the context item within the sequence of items
currently being processed.] It changes whenever the context item
changes. When the focus is defined, the value of the context
position is an integer greater than zero. The context position is
returned by the expression
fn:position()
. When an
expression
E1/E2
or
E1[E2]
is evaluated,
the context position in the inner focus for an evaluation of
E2
is the position of the context item in the sequence
obtained by evaluating
E1
. The position of the first
item in a sequence is always 1 (one). The context position is
always less than or equal to the context size.
[
Definition
: The
context size
is the
number of items in the sequence of items currently being
processed.] Its value is always an integer greater than zero. The
context size is returned by the expression
fn:last()
.
When an expression
E1/E2
or
E1[E2]
is
evaluated, the context size in the inner focus for an evaluation of
E2
is the number of items in the sequence obtained by
evaluating
E1
.
[ Definition : Variable values . This is a mapping from expanded QName to value. It contains the same expanded QNames as the in-scope variables in the static context for the expression. The expanded QName is the name of the variable and the value is the dynamic value of the variable, which includes its dynamic type .]
[ Definition : Named functions . This is a mapping from (expanded QName, arity) to function DM30 . ] It supplies a function for each signature in statically known function signatures and may supply other functions (see 2.2.4 Consistency Constraints ). Named functions can include functions with implementation-dependent implementations; these functions do not have a static context or a dynamic context of their own.
[
Definition
:
Current dateTime.
This
information represents an
implementation-dependent
point
in time during the processing of
an
expression
, and includes an explicit timezone. It can be
retrieved by the
fn:current-dateTime
function. If
invoked multiple times during the execution of
an expression
, this function always returns the same
result.]
[
Definition
:
Implicit timezone.
This
is the timezone to be used when a date, time, or dateTime value
that does not have a timezone is used in a comparison or arithmetic
operation. The implicit timezone is an
implementation-defined
value of
type
xs:dayTimeDuration
. See
[XML Schema 1.0]
or
[XML
Schema 1.1]
for the range of valid values of a timezone.]
[
Definition
:
Default language.
This is
the natural language used when creating human-readable output (for
example, by the functions
fn:format-date
and
fn:format-integer
) if no other language is requested.
The value is a language code as defined by the type
xs:language
.]
[
Definition
:
Default calendar.
This is
the calendar used when formatting dates in human-readable output
(for example, by the functions
fn:format-date
and
fn:format-dateTime
) if no other calendar is requested.
The value is a string.]
[
Definition
:
Default place.
This is a
geographical location used to identify the place where events
happened (or will happen) when formatting dates and times using
functions such as
fn:format-date
and
fn:format-dateTime
, if no other place is specified. It
is used when translating timezone offsets to civil timezone names,
and when using calendars where the translation from ISO dates/times
to a local representation is dependent on geographical location.
Possible representations of this information are an ISO country
code or an Olson timezone name, but implementations are free to use
other representations from which the above information can be
derived.]
[
Definition
:
Available documents.
This is a mapping of strings to document nodes. Each string
represents the absolute URI of a resource. The document node is the
root of a tree that represents that resource using the
data model
. The document node
is returned by the
fn:doc
function when applied to
that URI.] The set of available documents is not limited to the set
of
statically known documents
, and it may be
empty.
If there are one or more URIs in
available documents
that map to a
document node
D
, then the document-uri property of
D
must either be absent, or must be one of these
URIs.
Note:
This means that given a document node
$N
, the
result of
fn:doc(fn:document-uri($N)) is $N
will
always be
true
, unless
fn:document-uri($N)
is an empty sequence.
[
Definition
:
Available text
resources
. This is a mapping of strings to text resources. Each
string represents the absolute URI of a resource. The resource is
returned by the
fn:unparsed-text
function when applied
to that URI.] The set of available text resources is not limited to
the set of
statically known documents
, and it may be
empty.
[
Definition
:
Available node
collections.
This is a mapping of strings to sequences of
nodes. Each string represents the absolute URI of a resource. The
sequence of nodes represents the result of the
fn:collection
function when that URI is supplied as
the argument. ] The set of available node collections is not
limited to the set of
statically known collections
, and it
may be empty.
For every document node
D
that is in the target of
a mapping in
available node collections
, or that
is the root of a tree containing such a node, the document-uri
property of
D
must either be absent, or must be a URI
U
such that
available documents
contains a mapping
from
U
to
D
.
Note:
This means that for any document node
$N
retrieved
using the
fn:collection
function, either directly or
by navigating to the root of a node that was returned, the result
of
fn:doc(fn:document-uri($N)) is $N
will always be
true
, unless
fn:document-uri($N)
is an
empty sequence. This implies a requirement for the
fn:doc
and
fn:collection
functions to be
consistent in their effect. If the implementation uses catalogs or
user-supplied URI resolvers to dereference URIs supplied to the
fn:doc
function, the implementation of the
fn:collection
function must take these mechanisms into
account. For example, an implementation might achieve this by
mapping the collection URI to a set of document URIs, which are
then resolved using the same catalog or URI resolver that is used
by the
fn:doc
function.
[
Definition
:
Default node
collection.
This is the sequence of nodes that would result
from calling the
fn:collection
function with no
arguments.] The value of
default collection
may be
initialized by the implementation.
[
Definition
:
Available
resource collections.
This is a mapping of strings to sequences
of URIs. The string represents the absolute URI of a resource which
can be interpreted as an aggregation of a number of individual
resources each of which has its own URI. The sequence of URIs
represents the result of the
fn:uri-collection
function when that URI is supplied as the argument. ] There is no
implication that the URIs in this sequence can be successfully
dereferenced, or that the resources they refer to have any
particular media type.
Note:
An implementation
may
maintain some consistent
relationship between the available node collections and the
available resource collections, for example by ensuring that the
result of
fn:uri-collection(X)!fn:doc(.)
is the same
as the result of
fn:collection(X)
. However, this is
not required. The
fn:uri-collection
function is more
general than
fn:collection
in that it allows access to
resources other than XML documents; at the same time,
fn:collection
allows access to nodes that might lack
individual URIs, for example nodes corresponding to XML fragments
stored in the rows of a relational database.
[
Definition
:
Default resource
collection.
This is the sequence of URIs that would result from
calling the
fn:uri-collection
function with no
arguments.] The value of
default resource collection
may be
initialized by the implementation.
[ Definition : Environment variables. This is a mapping from names to values. Both the names and the values are strings. The names are compared using an implementation-defined collation, and are unique under this collation. The set of environment variables is implementation-defined and may be empty.]
Note:
A possible implementation is to provide the set of POSIX environment variables (or their equivalent on other operating systems) appropriate to the process in which the expression is evaluated .
Processing ModelXPath 3.0 is defined in terms of the data model and the expression context .
Figure 1: Processing Model Overview
Figure 1 provides a schematic overview of the processing steps that are discussed in detail below. Some of these steps are completely outside the domain of XPath 3.0; in Figure 1, these are depicted outside the line that represents the boundaries of the language, an area labeled external processing . The external processing domain includes generation of an XDM instance that represents the data to be queried (see 2.2.1 Data Model Generation ), schema import processing (see 2.2.2 Schema Import Processing ) and serialization. The area inside the boundaries of the language is known as the XPath processing domain , which includes the static analysis and dynamic evaluation phases (see 2.2.3 Expression Processing ). Consistency constraints on the XPath processing domain are defined in 2.2.4 Consistency Constraints .
Before an expression can be processed, its input data must be represented as an XDM instance . This process occurs outside the domain of XPath 3.0, which is why Figure 1 represents it in the external processing domain. Here are some steps by which an XML document might be converted to an instance:
A document may be parsed using an XML parser that generates an XML Information Set (see [XML Infoset] ). The parsed document may then be validated against one or more schemas. This process, which is described in [XML Schema 1.0] or [XML Schema 1.1] , results in an abstract information structure called the Post-Schema Validation Infoset (PSVI). If a document has no associated schema, its Information Set is preserved. (See DM1 in Fig. 1.)
The Information Set or PSVI may be transformed into an XDM instance by a process described in [XQuery and XPath Data Model (XDM) 3.0] . (See DM2 in Fig. 1.)
The above steps provide an example of how an XDM instance might be constructed. An XDM instance might also be synthesized directly from a relational database, or constructed in some other way (see DM3 in Fig. 1.) XPath 3.0 is defined in terms of the data model , but it does not place any constraints on how XDM instances are constructed.
[
Definition
: Each element node and attribute
node in an
XDM instance
has a
type
annotation
(
described
in
[XQuery and XPath Data Model (XDM) 3.0]
.
) The type annotation of a node is a
reference to an XML
Schema type.
]
The
type-name
of a node is
the name of the type referenced by its
type annotation
.
If the
instance was derived from a validated XML document as described
in
Section 3.3
Construction from a PSVI
DM30
, the
type annotations of the element and attribute nodes are derived
from schema validation. XPath 3.0 does not provide a way to
directly access the type annotation of an element or attribute
node.
The value of an attribute is represented directly within the
attribute node. An attribute node whose type is unknown (such as
might occur in a schemaless document) is given the
type annotation
xs:untypedAtomic
.
The value of an element is represented by the children of the
element node, which may include text nodes and other element nodes.
The
type
annotation
of an element node indicates how the values in its
child text nodes are to be interpreted. An element that has not
been validated (such as might occur in a schemaless document) is
annotated with the schema type
xs:untyped
. An element
that has been validated and found to be partially valid is
annotated with the schema type
xs:anyType
. If an
element node is annotated as
xs:untyped
, all its
descendant element nodes are also annotated as
xs:untyped
. However, if an element node is annotated
as
xs:anyType
, some of its descendant element nodes
may have a more specific
type annotation
.
The in-scope schema definitions in the static context are provided by the host language (see step SI1 in Figure 1) and must satisfy the consistency constraints defined in 2.2.4 Consistency Constraints .
XPath 3.0 defines two phases of processing called the static analysis phase and the dynamic evaluation phase (see Fig. 1). During the static analysis phase, static errors , dynamic errors , or type errors may be raised. During the dynamic evaluation phase, only dynamic errors or type errors may be raised. These kinds of errors are defined in 2.3.1 Kinds of Errors .
Within each phase, an implementation is free to use any strategy or algorithm whose result conforms to the specifications in this document.
[ Definition : The static analysis phase depends on the expression itself and on the static context . The static analysis phase does not depend on input data (other than schemas).]
During the static analysis phase, the XPath expression is parsed into an internal representation called the operation tree (step SQ1 in Figure 1). A parse error is raised as a static error [ err:XPST0003 ]. The static context is initialized by the implementation (step SQ2). The static context is used to resolve schema type names, function names, namespace prefixes, and variable names (step SQ4). If a name of one of these kinds in the operation tree is not found in the static context , a static error ([ err:XPST0008 ] or [ err:XPST0017 ]) is raised (however, see exceptions to this rule in 2.5.5.3 Element Test and 2.5.5.5 Attribute Test .)
The operation tree is then normalized by making explicit the implicit operations such as atomization and extraction of Effective Boolean Values (step SQ5).
During the static analysis phase , a processor may perform type analysis. The effect of type analysis is to assign a static type to each expression in the operation tree. [ Definition : The static type of an expression is the best inference that the processor is able to make statically about the type of the result of the expression.] This specification does not define the rules for type analysis nor the static types that are assigned to particular expressions: the only constraint is that the inferred type must match all possible values that the expression is capable of returning.
Examples of inferred static types might be:
For the expression
concat(a,b)
the inferred static
type is
xs:string
For the expression
$a = $v
the inferred static type
is
xs:boolean
For the expression
$s[exp]
the inferred static type
has the same item type as the static type of
$s
, but a
cardinality that allows the empty sequence even if the static type
of
$s
does not allow an empty sequence.
The inferred static type of the expression
data($x)
(whether written explicitly or inserted into the operation tree in
places where atomization is implicit) depends on the inferred
static type of
$x
: for example, if
$x
has
type
element(*, xs:integer)
then
data($x)
has static type
xs:integer
.
In XQuery 1.0 and XPath 2.0, rules for static type inferencing were published normatively in [XQuery 1.0 and XPath 2.0 Formal Semantics] , but implementations were allowed to refine these rules to infer a more precise type where possible. In XQuery 3.0 and XPath 3.0, the rules for static type inferencing are entirely implementation-defined.
Every kind of expression also imposes requirements on the type
of its operands. For example, with the expression
substring($a, $b, $c)
,
$a
must be of type
xs:string
(or something that can be converted to
xs:string
by the function calling rules), while
$b
and
$c
must be of type
xs:double
.
If the Static Typing Feature is in effect, a processor must
raise a type error during static analysis if the inferred static
type of an expression is not subsumed by the required type of the
context where the expression is used. For example, the call of
substring above would cause a type error if the inferred static
type of
$a
is
xs:integer
; equally, a type
error would be reported during static analysis if the inferred
static type is
xs:anyAtomicType
.
If the Static Typing Feature is not in effect, a processor may
raise a type error during static analysis only if the inferred
static type of an expression has no overlap (intersection) with the
required type: so for the first argument of substring, the
processor may raise an error if the inferred type is
xs:integer
, but not if it is
xs:anyAtomicType
. Alternatively, if the Static Typing
Feature is not in effect, the processor may defer all type checking
until the dynamic evaluation phase.
[ Definition : The dynamic evaluation phase is the phase during which the value of an expression is computed.] It occurs after completion of the static analysis phase .
The dynamic evaluation phase can occur only if no errors were detected during the static analysis phase . If the Static Typing Feature is in effect, all type errors are detected during static analysis and serve to inhibit the dynamic evaluation phase.
The dynamic evaluation phase depends on the operation tree of the expression being evaluated (step DQ1), on the input data (step DQ4), and on the dynamic context (step DQ5), which in turn draws information from the external environment (step DQ3) and the static context (step DQ2). The dynamic evaluation phase may create new data-model values (step DQ4) and it may extend the dynamic context (step DQ5)—for example, by binding values to variables.
[
Definition
: A
dynamic type
is associated
with each value as it is computed. The dynamic type of a value may
be more specific than the
static type
of the expression that computed
it (for example, the static type of an expression might be
xs:integer*
, denoting a sequence of zero or more
integers, but at evaluation time its value may have the dynamic
type
xs:integer
, denoting exactly one integer.)]
If an operand of an expression is found to have a dynamic type that is not appropriate for that operand, a type error is raised [ err:XPTY0004 ].
Even though static typing can catch many
type errors
before an expression is
executed, it is possible for an expression to raise an error during
evaluation that was not detected by static analysis. For example,
an expression may contain a cast of a string into an integer, which
is statically valid. However, if the actual value of the string at
run time cannot be cast into an integer, a
dynamic error
will result. Similarly,
an expression may apply an arithmetic operator to a value whose
static type
is
xs:untypedAtomic
. This is not a
static error
, but at run
time, if the value cannot be successfully cast to a
numeric
type, a
dynamic error
will be
raised.
When the Static Typing Feature is in effect, it is also possible for static analysis of an expression to raise a type error , even though execution of the expression on certain inputs would be successful. For example, an expression might contain a function that requires an element as its parameter, and the static analysis phase might infer the static type of the function parameter to be an optional element. This case is treated as a type error and inhibits evaluation, even though the function call would have been successful for input data in which the optional element is present.
In order for XPath 3.0 to be well defined, the input XDM instance , the static context , and the dynamic context must be mutually consistent. The consistency constraints listed below are prerequisites for correct functioning of an XPath 3.0 implementation. Enforcement of these consistency constraints is beyond the scope of this specification. This specification does not define the result of an expression under any condition in which one or more of these constraints is not satisfied.
For every node that has a type annotation, if that type annotation is found in the in-scope schema definitions (ISSD), then its definition in the ISSD must be equivalent to its definition in the type annotation .
Every element name, attribute name, or schema type name referenced in in-scope variables or statically known function signatures must be in the in-scope schema definitions , unless it is an element name referenced as part of an ElementTest or an attribute name referenced as part of an AttributeTest .
Any reference to a global element, attribute, or type name in the in-scope schema definitions must have a corresponding element, attribute or type definition in the in-scope schema definitions .
For each mapping of a string to a document node in available documents , if there exists a mapping of the same string to a document type in statically known documents , the document node must match the document type, using the matching rules in 2.5.5 SequenceType Matching .
For each mapping of a string to a sequence of nodes in available node collections , if there exists a mapping of the same string to a type in statically known collections , the sequence of nodes must match the type, using the matching rules in 2.5.5 SequenceType Matching .
The sequence of nodes in the default collection must match the statically known default collection type , using the matching rules in 2.5.5 SequenceType Matching .
The value of the context item must match the context item static type , using the matching rules in 2.5.5 SequenceType Matching .
For each (variable, type) pair in in-scope variables and the corresponding (variable, value) pair in variable values such that the variable names are equal, the value must match the type, using the matching rules in 2.5.5 SequenceType Matching .
In the
statically known namespaces
, the prefix
xml
must not be bound to any namespace URI other than
http://www.w3.org/XML/1998/namespace
, and no prefix
other than
xml
may be bound to this namespace URI. The
prefix
xmlns
must not be bound to any namespace URI,
and no prefix may be bound to the namespace URI
http://www.w3.org/2000/xmlns/
.
For each
(expanded QName, arity) -> FunctionTest
entry in
statically known function
signatures
, there must exist an
(expanded QName, arity)
-> function
entry in
named functions
such that the function's
signature
DM30
is
FunctionTest
.
As described in 2.2.3 Expression Processing , XPath 3.0 defines a static analysis phase , which does not depend on input data, and a dynamic evaluation phase , which does depend on input data. Errors may be raised during each phase.
[ Definition : An error that can be detected during the static analysis phase , and is not a type error, is a static error .] A syntax error is an example of a static error .
[ Definition : A dynamic error is an error that must be detected during the dynamic evaluation phase and may be detected during the static analysis phase. Numeric overflow is an example of a dynamic error. ]
[ Definition : A type error may be raised during the static analysis phase or the dynamic evaluation phase. During the static analysis phase, a type error occurs when the static type of an expression does not match the expected type of the context in which the expression occurs. During the dynamic evaluation phase, a type error occurs when the dynamic type of a value does not match the expected type of the context in which the value occurs.]
The outcome of the static analysis phase is either success or one or more type errors , static errors , or statically-detected dynamic errors . The result of the dynamic evaluation phase is either a result value, a type error , or a dynamic error .
If more than one error is present, or if an error condition comes within the scope of more than one error defined in this specification, then any non-empty subset of these errors may be reported.
During the
static analysis phase
, if the
Static Typing Feature
is in
effect and the
static
type
assigned to an expression other than
()
or
data(())
is
empty-sequence()
, a
static error
is raised
[
err:XPST0005
].
This catches cases in which a query refers to an element or
attribute that is not present in the
in-scope schema
definitions
, possibly because of a spelling error.
Independently of whether the Static Typing Feature is in effect, if an implementation can determine during the static analysis phase that an XPath expression , if evaluated, would necessarily raise a dynamic error or that an expression, if evaluated, would necessarily raise a type error , the implementation may (but is not required to) report that error during the static analysis phase .
An implementation can raise a dynamic error for a an XPath expression statically only if the query can never execute without raising that error, as in the following example:
error()The following example contains a type error, which can be reported statically even if the implementation can not prove that the expression will actually be evaluated.
if (empty($arg)) "cat" * 2[ Definition : In addition to static errors , dynamic errors , and type errors , an XPath 3.0 implementation may raise warnings , either during the static analysis phase or the dynamic evaluation phase . The circumstances in which warnings are raised, and the ways in which warnings are handled, are implementation-defined .]
In addition to the errors defined in this specification, an implementation may raise a dynamic error for a reason beyond the scope of this specification. For example, limitations may exist on the maximum numbers or sizes of various objects. An error must be raised if such a limitation is exceeded [ err:XPDY0130 ].
The errors defined in this specification are identified by
QNames that have the form
err:XPYYnnnn
, where:
err
denotes the namespace for XPath and XQuery
errors,
http://www.w3.org/2005/xqt-errors
. This
binding of the namespace prefix
err
is used for
convenience in this document, and is not normative.
XP
identifies the error as an XPath error (some
errors, originally defined by XQuery and later added to XPath, use
the code
XQ
instead).
YY
denotes the error category, using the following
encoding:
ST
denotes a static error.
DY
denotes a dynamic error.
TY
denotes a type error.
Note:
The namespace URI for XPath and XQuery errors is not expected to change from one version of XPath to another. However, the contents of this namespace may be extended to include additional error definitions.
The method by which an XPath 3.0 processor reports error information to the external environment is implementation-defined .
An error can be represented by a URI reference that is derived
from the error QName as follows: an error with namespace URI
NS
and local part
LP
can be represented as the URI reference
NS
#
LP
. For example, an error
whose QName is
err:XPST0017
could be represented as
http://www.w3.org/2005/xqt-errors#XPST0017
.
Note:
Along with a code identifying an error, implementations may wish to return additional information, such as the location of the error or the processing phase in which it was detected. If an implementation chooses to do so, then the mechanism that it uses to return this information is implementation-defined .
Except as noted in this document, if any operand of an
expression raises a
dynamic error
, the expression also raises a
dynamic
error
. If an expression can return a value or raise a dynamic
error, the implementation may choose to return the value or raise
the dynamic error
(see
2.3.4
Errors and Optimization
)
. For example, the logical
expression
expr1 and expr2
may return the value
false
if either operand returns
false
, or
may raise a dynamic error if either operand raises a dynamic
error.
If more than one operand of an expression raises an error, the implementation may choose which error is raised by the expression. For example, in this expression:
($x div $y) + xs:decimal($z)
both the sub-expressions
($x div $y)
and
xs:decimal($z)
may raise an error. The implementation
may choose which error is raised by the "
+
"
expression. Once one operand raises an error, the implementation is
not required, but is permitted, to evaluate any other operands.
[ Definition : In addition to its identifying QName, a dynamic error may also carry a descriptive string and one or more additional values called error values .] An implementation may provide a mechanism whereby an application-defined error handler can process error values and produce diagnostic messages . XQuery 3.0 provides standard error handling via Section 3.15 Try/Catch Expressions XQ30
A dynamic error may be raised by a
built-in function
or operator. For
example, the
div
operator raises an error if its
operands are
xs:decimal
values and its second operand
is equal to zero. Errors raised by built-in functions and operators
are defined in
[XQuery and XPath
Functions and Operators 3.0]
.
A dynamic error can also be raised explicitly by calling the
fn:error
function, which
always
raises
a dynamic
error and never returns a value. This
function is defined in
[XQuery and
XPath Functions and Operators 3.0]
. For example, the following
function call raises a dynamic error, providing a QName that
identifies the error, a descriptive string, and a diagnostic value
(assuming that the prefix
app
is bound to a namespace
containing application-defined error codes):
Because different implementations may choose to evaluate or optimize an expression in different ways, certain aspects of raising dynamic errors are implementation-dependent , as described in this section.
An implementation is always free to evaluate the operands of an operator in any order.
In some cases, a processor can determine the result of an
expression without accessing all the data that would be implied by
the formal expression semantics. For example, the formal
description of
filter expressions
suggests that
$s[1]
should be evaluated by examining all the items
in sequence
$s
, and selecting all those that satisfy
the predicate
position()=1
. In practice, many
implementations will recognize that they can evaluate this
expression by taking the first item in the sequence and then
exiting. If
$s
is defined by an expression such as
//book[author eq 'Berners-Lee']
, then this strategy
may avoid a complete scan of a large document and may therefore
greatly improve performance. However, a consequence of this
strategy is that a dynamic error or type error that would be
detected if the expression semantics were followed literally might
not be detected at all if the evaluation exits early. In this
example, such an error might occur if there is a
book
element in the input data with more than one
author
subelement.
The extent to which a processor may optimize its access to data, at the cost of not raising errors, is defined by the following rules.
Consider an expression Q that has an operand (sub-expression) E . In general the value of E is a sequence. At an intermediate stage during evaluation of the sequence, some of its items will be known and others will be unknown. If, at such an intermediate stage of evaluation, a processor is able to establish that there are only two possible outcomes of evaluating Q , namely the value V or an error, then the processor may deliver the result V without evaluating further items in the operand E . For this purpose, two values are considered to represent the same outcome if their items are pairwise the same, where nodes are the same if they have the same identity, and values are the same if they are equal and have exactly the same type.
There is an exception to this rule: If a processor evaluates an
operand
E
(wholly or in part), then it is required to
establish that the actual value of the operand
E
does not
violate any constraints on its cardinality. For example, the
expression
$e eq 0
results in a type error if the
value of
$e
contains two or more items. A processor is
not allowed to decide, after evaluating the first item in the value
of
$e
and finding it equal to zero, that the only
possible outcomes are the value
true
or a type error
caused by the cardinality violation. It must establish that the
value of
$e
contains no more than one item.
These rules apply to all the operands of an expression considered in combination: thus if an expression has two operands E1 and E2 , it may be evaluated using any samples of the respective sequences that satisfy the above rules.
The rules cascade: if A is an operand of B and B is an operand of C , then the processor needs to evaluate only a sufficient sample of B to determine the value of C , and needs to evaluate only a sufficient sample of A to determine this sample of B .
The effect of these rules is that the processor is free to stop
examining further items in a sequence as soon as it can establish
that further items would not affect the result except possibly by
causing an error. For example, the processor may return
true
as the result of the expression
S1 =
S2
as soon as it finds a pair of equal values from the two
sequences.
Another consequence of these rules is that where none of the items in a sequence contributes to the result of an expression, the processor is not obliged to evaluate any part of the sequence. Again, however, the processor cannot dispense with a required cardinality check: if an empty sequence is not permitted in the relevant context, then the processor must ensure that the operand is not an empty sequence.
Examples:
If an implementation can find (for example, by using an index)
that at least one item returned by
$expr1
in the
following example has the value
47
, it is allowed to
return
true
as the result of the
some
expression, without searching for another item returned by
$expr1
that would raise an error if it were
evaluated.
In the following example, if an implementation can find (for
example, by using an index) the
product
element-nodes
that have an
id
child with the value
47
,
it is allowed to return these nodes as the result of the
path expression
,
without searching for another
product
node that would
raise an error because it has an
id
child whose value
is not an integer.
For a variety of reasons, including optimization, implementations may rewrite expressions into a different form. There are a number of rules that limit the extent of this freedom:
Other than the raising or not raising of errors, the result of evaluating a rewritten expression must conform to the semantics defined in this specification for the original expression.
Note:
This allows an implementation to return a result in cases where the original expression would have raised an error, or to raise an error in cases where the original expression would have returned a result. The main cases where this is likely to arise in practice are (a) where a rewrite changes the order of evaluation, such that a subexpression causing an error is evaluated when the expression is written one way and is not evaluated when the expression is written a different way, and (b) where intermediate results of the evaluation cause overflow or other out-of-range conditions.
Note:
This rule does not mean that the result of the expression will always be the same in non-error cases as if it had not been rewritten, because there are many cases where the result of an expression is to some degree implementation-dependent or implementation-defined .
Conditional and typeswitch expressions must not raise a dynamic
error in respect of subexpressions occurring in a branch that is
not selected, and must not return the value delivered by a branch
unless that branch is selected. Thus, the following example must
not raise a dynamic error if the document
abc.xml
does
not exist:
As stated earlier, an expression must not be rewritten to
dispense with a required cardinality check: for example,
string-length(//title)
must raise an error if the
document contains more than one title element.
Expressions must not be rewritten in such a way as to create or remove static errors. The static errors in this specification are defined for the original expression, and must be preserved if the expression is rewritten.
Expression rewrite is illustrated by the following examples.
Consider the expression
//part[color eq "Red"]
. An
implementation might choose to rewrite this expression as
//part[color = "Red"][color eq "Red"]
. The
implementation might then process the expression as follows: First
process the "
=
" predicate by probing an index on parts
by color to quickly find all the parts that have a Red color; then
process the "
eq
" predicate by checking each of these
parts to make sure it has only a single color. The result would be
as follows:
Parts that have exactly one color that is Red are returned.
If some part has color Red together with some other color, an error is raised.
The existence of some part that has no color Red but has multiple non-Red colors does not trigger an error.
The expression in the following example cannot raise a casting error if it is evaluated exactly as written (i.e., left to right). Since neither predicate depends on the context position, an implementation might choose to reorder the predicates to achieve better performance (for example, by taking advantage of an index). This reordering could cause the expression to raise an error.
$N[@x castable as xs:date][xs:date(@x) gt xs:date("2000-01-01")]To avoid unexpected errors caused by expression rewrite, tests that are designed to prevent dynamic errors should be expressed using conditional expressions. For example, the above expression can be written as follows:
$N[if (@x castable as xs:date) then xs:date(@x) gt xs:date("2000-01-01") else false()]This section explains some concepts that are important to the processing of XPath 3.0 expressions.
An ordering called document order is defined among all the nodes accessible during processing of a given expression , which may consist of one or more trees (documents or fragments). Document order is defined in [XQuery and XPath Data Model (XDM) 3.0] , and its definition is repeated here for convenience. Document order is a total ordering, although the relative order of some nodes is implementation-dependent . [ Definition : Informally, document order is the order in which nodes appear in the XML serialization of a document.] [ Definition : Document order is stable , which means that the relative order of two nodes will not change during the processing of a given expression , even if this order is implementation-dependent .] [ Definition : The node ordering that is the reverse of document order is called reverse document order .]
Within a tree, document order satisfies the following constraints:
The root node is the first node.
Every node occurs before all of its children and descendants.
Namespace nodes immediately follow the element node with which they are associated. The relative order of namespace nodes is stable but implementation-dependent .
Attribute nodes immediately follow the namespace nodes of the element node with which they are associated. The relative order of attribute nodes is stable but implementation-dependent .
The relative order of siblings is the order in which they occur
in the
children
property of their parent node.
Children and descendants occur before following siblings.
The relative order of nodes in distinct trees is stable but implementation-dependent , subject to the following constraint: If any node in a given tree T1 is before any node in a different tree T2, then all nodes in tree T1 are before all nodes in tree T2.
The semantics of some XPath 3.0 operators depend on a process
called
atomization
. Atomization is applied to a
value when the value is used in a context in which a sequence of
atomic values is required. The result of atomization is either a
sequence of atomic values or a
type error
[err:FOTY0012]. [
Definition
:
Atomization
of a sequence is
defined as the result of invoking the
fn:data
function
on the sequence, as defined in
[XQuery and XPath Functions and Operators
3.0]
.]
The semantics of
fn:data
are repeated here for
convenience. The result of
fn:data
is the sequence of
atomic values produced by applying the following rules to each item
in the input sequence:
If the item is an atomic value, it is returned.
If the item is a node, its typed value is returned ([err:FOTY0012] is raised if the node has no typed value.)
If the item is a function DM30 [err:FOTY0012] is raised.
Atomization is used in processing the following types of expressions:
Arithmetic expressions
Comparison expressions
Function calls and returns
Cast expressions
Under certain circumstances (listed below), it is necessary to
find the
effective boolean value
of a value. [
Definition
: The
effective boolean value
of a value is defined as the result
of applying the
fn:boolean
function to the value, as
defined in
[XQuery and XPath
Functions and Operators 3.0]
.]
The dynamic semantics of
fn:boolean
are repeated
here for convenience:
If its operand is an empty sequence,
fn:boolean
returns
false
.
If its operand is a sequence whose first item is a node,
fn:boolean
returns
true
.
If its operand is a
singleton
value of type
xs:boolean
or derived from
xs:boolean
,
fn:boolean
returns the value of its operand unchanged.
If its operand is a
singleton
value of type
xs:string
,
xs:anyURI
,
xs:untypedAtomic
, or a type
derived from one of these,
fn:boolean
returns
false
if the operand value has zero length; otherwise
it returns
true
.
If its operand is a
singleton
value of any
numeric
type or derived from a numeric type,
fn:boolean
returns
false
if the operand
value is
NaN
or is numerically equal to zero;
otherwise it returns
true
.
In all other cases,
fn:boolean
raises a type error
[err:FORG0006].
The effective boolean value of a sequence is computed implicitly during processing of the following types of expressions:
Logical expressions (
and
,
or
)
The
fn:not
function
Certain types of
predicates
, such as
a[b]
Conditional expressions (
if
)
Quantified expressions (
some
,
every
)
General comparisons, in XPath 1.0 compatibility mode .
Note:
The definition of
effective boolean value
is
not
used when
casting a value to the type
xs:boolean
, for example in
a
cast
expression or when passing a value to a
function whose expected parameter is of type
xs:boolean
.
XPath 3.0 has a set of functions that provide access to input data. These functions are of particular importance because they provide a way in which an expression can reference a document or a collection of documents. The input functions are described informally here; they are defined in [XQuery and XPath Functions and Operators 3.0] .
An expression can access input data either by calling one of the input functions or by referencing some part of the dynamic context that is initialized by the external environment, such as a variable or context item .
The input functions supported by XPath 3.0 are as follows:
The
fn:doc
function takes a string containing a
URI. If that URI is associated with a document in
available
documents
,
fn:doc
returns a document node whose
content is the
data
model
representation of the given document; otherwise it raises
a
dynamic
error
.
The
fn:unparsed-text
function takes a string
containing a URI, which must identify a resource that can be read
as text; otherwise it raises a
dynamic error
.
The
fn:environment-variable
and
fn:available-environment-variables
identify
environment variables that are available in the dynamic
context.
The
fn:collection
function with one argument takes
a string containing a URI. If that URI is associated with a
collection in
available node collections
,
fn:collection
returns the data model representation of
that collection; otherwise it raises a
dynamic error
. A collection may be any
sequence of nodes. For example, the expression
fn:collection("http://example.org")//customer
identifies all the
customer
elements that are
descendants of nodes found in the collection whose URI is
http://example.org
.
The
fn:collection
function with zero arguments
returns the
default collection
, an
implementation-dependent
sequence of nodes.
The
fn:uri-collection
function returns a sequence
of
xs:anyURI
values representing the URIs in a
resource collection.
The
fn:uri-collection
function with zero arguments
returns the URIs in the
default resource
collection
.
These input functions are all specified in [XQuery and XPath Functions and Operators 3.0] , which specifies error conditions and other details not described here.
XPath 3.0 requires a statically known, valid URI in a BracedURILiteral . An implementation may raise a static error [ err:XQST0046 ] if the value of a Braced URI Literal is of nonzero length and is neither an absolute URI nor a relative URI .
Note:
The
xs:anyURI
type is designed to anticipate the
introduction of Internationalized Resource Identifiers (IRI's) as
defined in
[RFC3987]
.
Whitespace is normalized using the whitespace normalization
rules of
fn:normalize-space
. If the result of
whitespace normalization contains only whitespace, the
corresponding URI consists of the empty string.
A Braced URI Literal or URI Literal is not subjected to percent-encoding or decoding as defined in [RFC3986] .
[
Definition
: To
resolve a relative URI
$rel
against a base URI
$base
is to
expand it to an absolute URI, as if by calling the function
fn:resolve-uri($rel, $base)
.] During static analysis,
the base URI is the Static Base URI. During dynamic evaluation, the
base URI used to resolve a relative URI reference depends on the
semantics of the expression.
Any process that attempts to resolve URI against a base URI, or to dereference the URI, may apply percent-encoding or decoding as defined in the relevant RFCs.
The type system of XPath 3.0 is based on [XML Schema 1.0] or [XML Schema 1.1] .
[ Definition : A sequence type is a type that can be expressed using the SequenceType syntax. Sequence types are used whenever it is necessary to refer to a type in an XPath 3.0 expression. The term sequence type suggests that this syntax is used to describe the type of an XPath 3.0 value, which is always a sequence.]
[
Definition
: A
schema type
is a type that
is (or could be) defined using the facilities of
[XML Schema 1.0]
or
[XML
Schema 1.1]
(including the built-in types of
[XML Schema 1.0]
or
[XML
Schema 1.1]
).] A schema type can be used as a type annotation
on an element or attribute node (unless it is a non-instantiable
type such as
xs:NOTATION
or
xs:anyAtomicType
, in which case its derived types can
be so used). Every schema type is either a
complex type
or a
simple type
; simple types are further subdivided into
list types
,
union types
, and
atomic types
(see
[XML Schema 1.0]
or
[XML Schema 1.1]
for definitions and
explanations of these terms.)
[ Definition : A generalized atomic type is a type which is either (a) an atomic type or (b) a union type ].
[
Definition
: A
pure union type
is an
XML Schema union type that satisfies the following constraints: (1)
{variety}
is
union
, (2) the
{facets}
property is empty, (3) no type in the
transitive membership of the union type has
{variety}
list
, and (4) no type in the transitive membership of
the union type is a type with
{variety}
union
having a non-empty
{facets}
property].
Note:
The definition of pure union type excludes union types derived by non-trivial restriction from other union types, as well as union types that include list types in their membership. Pure union types have the property that every instance of an atomic type defined as one of the member types of the union is also a valid instance of the union type.
Note:
The current (second) edition of XML Schema 1.0 contains an error in respect of the substitutability of a union type by one of its members: it fails to recognize that this is unsafe if the union is derived by restriction from another union.
This problem is fixed in XSD 1.1, but the effect of the resolution is that an atomic value labeled with an atomic type cannot be treated as being substitutable for a union type without explicit validation. This specification therefore allows union types to be used as item types only if they are defined directly as the union of a number of atomic types.
Generalized atomic types
represent the intersection between the categories of
sequence type
and
schema type
. A
generalized atomic type, such as
xs:integer
or
my:hatsize
, is both a
sequence type
and a
schema type
.
The
in-scope schema types
in the
static context
are
initialized with a set of predefined schema types that is
determined by the host language. This set may include some or all
of the schema types in the namespace
http://www.w3.org/2001/XMLSchema
, represented in this
document by the namespace prefix
xs
. The schema types
in this namespace are defined in
[XML Schema
1.0]
or
[XML Schema 1.1]
and
augmented by additional types defined in
[XQuery and XPath Data Model (XDM) 3.0]
.
An implementation that has based its type system on
[XML Schema 1.0]
is not required to support the
xs:dateTimeStamp
type.
The schema types defined in [XQuery and XPath Data Model (XDM) 3.0] are summarized below.
[
Definition
:
xs:untyped
is used as the
annotation of an element node that has not been validated, or
has been validated in
skip
mode.] No predefined schema
types are derived from
xs:untyped
.
[
Definition
:
xs:untypedAtomic
is
an atomic type that is used to denote untyped atomic data, such as
text that has not been assigned a more specific type.] An attribute
that has been validated in
skip
mode is represented in
the
data model
by an
attribute node with the
type annotation
xs:untypedAtomic
. No predefined schema types are
derived from
xs:untypedAtomic
.
[
Definition
:
xs:dayTimeDuration
is derived by restriction from
xs:duration
. The lexical representation of
xs:dayTimeDuration
is restricted to contain only day,
hour, minute, and second components.]
[
Definition
:
xs:yearMonthDuration
is derived by restriction from
xs:duration
. The lexical representation of
xs:yearMonthDuration
is restricted to contain only
year and month components.]
[
Definition
:
xs:anyAtomicType
is
an atomic type that includes all atomic values (and no values that
are not atomic). Its base type is
xs:anySimpleType
from which all simple types, including atomic, list, and union
types, are derived. All primitive atomic types, such as
xs:decimal
and
xs:string
, have
xs:anyAtomicType
as their base type.]
Note:
xs:anyAtomicType
will not appear as the type of an
actual value in an
XDM instance
.
[
Definition
:
xs:error
is a simple type
with no value space, defined in
[XML Schema
1.1]
. In implementations that support XML Schema 1.1, it can be
used in the
2.5.4 SequenceType
Syntax
to raise errors.]
The relationships among the schema types in the
xs
namespace are illustrated in Figure 2. A more complete description
of the XPath 3.0 type hierarchy can be found in
[XQuery and XPath Functions and Operators
3.0]
.
Figure 2: Hierarchy of Schema Types used in XPath 3.0.
[
Definition
: The
namespace-sensitive
types are
xs:QName
,
xs:NOTATION
, types derived by restriction from
xs:QName
or
xs:NOTATION
, list types that
have a namespace-sensitive item type, and union types with a
namespace-sensitive type in their transitive membership.]
It is not possible to preserve the type of a
namespace-sensitive
value without
also preserving the namespace binding that defines the meaning of
each namespace prefix used in the value. Therefore, XPath 3.0
defines some error conditions that occur only with
namespace-sensitive
values. For
instance,
casting to a
namespace-sensitive
type raises a
type error
[err:FONS0004]
if the namespace bindings
for the result cannot be determined.
Every node has a
typed value
and a
string value
, except for nodes whose value is
absent
DM30
.
[
Definition
: The
typed value
of a node is a
sequence of atomic values and can be extracted by applying the
fn:data
function to the node.] [
Definition
: The
string value
of a node is
a string and can be extracted by applying the
fn:string
function to the node.] Definitions of
fn:data
and
fn:string
can be found in
[XQuery and XPath Functions and
Operators 3.0]
.
An implementation may store both the
typed value
and the
string value
of a node,
or it may store only one of these and derive the other as needed.
The string value of a node must be a valid lexical representation
of the typed value of the node, but the node is not required to
preserve the string representation from the original source
document. For example, if the typed value of a node is the
xs:integer
value
30
, its string value
might be "
30
" or "
0030
".
The typed value , string value , and type annotation of a node are closely related. If the node was created by mapping from an Infoset or PSVI, the relationships among these properties are defined by rules in [XQuery and XPath Data Model (XDM) 3.0] .
As a convenience to the reader, the relationship between typed value and string value for various kinds of nodes is summarized and illustrated by examples below.
For text and document nodes, the typed value of the node is the
same as its string value, as an instance of the type
xs:untypedAtomic
. The string value of a document node
is formed by concatenating the string values of all its descendant
text nodes, in
document order
.
The typed value of a comment
,
namespace,
or processing instruction node is the same as its
string value. It is an instance of the type
xs:string
.
The typed value of an attribute node with the
type annotation
xs:anySimpleType
or
xs:untypedAtomic
is
the same as its string value, as an instance of
xs:untypedAtomic
. The typed value of an attribute node
with any other type annotation is derived from its string value and
type annotation using the lexical-to-value-space mapping defined in
[XML Schema 1.0]
or
[XML Schema 1.1]
Part 2 for the relevant
type.
Example: A1 is an attribute having string value
"3.14E-2"
and type annotation
xs:double
.
The typed value of A1 is the
xs:double
value whose
lexical representation is
3.14E-2
.
Example: A2 is an attribute with type annotation
xs:IDREFS
, which is a list datatype whose item type is
the atomic datatype
xs:IDREF
. Its string value is
"
bar baz faz
". The typed value of A2 is a sequence of
three atomic values ("
bar
", "
baz
",
"
faz
"), each of type
xs:IDREF
. The typed
value of a node is never treated as an instance of a named list
type. Instead, if the type annotation of a node is a list type
(such as
xs:IDREFS
), its typed value is treated as a
sequence of the
generalized atomic type
from
which it is derived (such as
xs:IDREF
).
For an element node, the relationship between typed value and string value depends on the node's type annotation , as follows:
If the type annotation is
xs:untyped
or
xs:anySimpleType
or denotes a complex type with mixed
content (including
xs:anyType
), then the typed value
of the node is equal to its string value, as an instance of
xs:untypedAtomic
. However, if the
nilled
property of the node is
true
, then its typed value is
the empty sequence.
Example: E1 is an element node having type annotation
xs:untyped
and string value "
1999-05-31
".
The typed value of E1 is "
1999-05-31
", as an instance
of
xs:untypedAtomic
.
Example: E2 is an element node with the type annotation
formula
, which is a complex type with mixed content.
The content of E2 consists of the character "
H
", a
child element named
subscript
with string value
"
2
", and the character "
O
". The typed
value of E2 is "
H2O
" as an instance of
xs:untypedAtomic
.
If the type annotation denotes a simple type or a complex type
with simple content, then the typed value of the node is derived
from its string value and its type annotation in a way that is
consistent with schema validation. However, if the
nilled
property of the node is
true
, then
its typed value is the empty sequence.
Example: E3 is an element node with the type annotation
cost
, which is a complex type that has several
attributes and a simple content type of
xs:decimal
.
The string value of E3 is "
74.95
". The typed value of
E3 is
74.95
, as an instance of
xs:decimal
.
Example: E4 is an element node with the type annotation
hatsizelist
, which is a simple type derived from the
atomic type
hatsize
, which in turn is derived from
xs:integer
. The string value of E4 is "
7 8
9
". The typed value of E4 is a sequence of three values
(
7
,
8
,
9
), each of type
hatsize
.
Example: E5 is an element node with the type annotation
my:integer-or-string
which is a union type with member
types
xs:integer
and
xs:string
. The
string value of E5 is "
47
". The typed value of E5 is
47
as an
xs:integer
, since
xs:integer
is the member type that validated the
content of E5. In general, when the type annotation of a node is a
union type, the typed value of the node will be an instance of one
of the member types of the union.
Note:
If an implementation stores only the string value of a node, and the type annotation of the node is a union type, the implementation must be able to deliver the typed value of the node as an instance of the appropriate member type.
If the type annotation denotes a complex type with empty content, then the typed value of the node is the empty sequence and its string value is the zero-length string.
If the type annotation denotes a complex type with element-only
content, then the typed value of the node is
absent
DM30
.
The
fn:data
function raises a
type error
[err:FOTY0012]
when applied to such a node. The string value of such a node is
equal to the concatenated string values of all its text node
descendants, in document order.
Example: E6 is an element node with the type annotation
weather
, which is a complex type whose content type
specifies
element-only
. E6 has two child elements
named
temperature
and
precipitation
. The
typed value of E6 is
absent
DM30
,
and the
fn:data
function applied to E6 raises an
error.
With the exception of the special type
empty-sequence()
, a
sequence type
consists of an
item
type
that constrains the type of each item in the sequence, and
a
cardinality
that constrains the number of items in the
sequence. Apart from the item type
item()
, which
permits any kind of item, item types divide into
node types
(such as
element()
),
generalized atomic types
(such as
xs:integer
) and function types (such as
function() as item()*).
Lexical QNames
appearing in a
sequence type
have their prefixes expanded
to namespace URIs by means of the
statically known namespaces
and (where
applicable) the
default element/type namespace
. Equality
of QNames is defined by the
eq
operator.
Item types representing element and attribute nodes may specify
the required
type annotations
of those nodes, in the
form of a
schema
type
. Thus the item type
element(*, us:address)
denotes any element node whose type annotation is (or is derived
from) the schema type named
us:address
.
The occurrence indicators '+', '*', and '?' bind to the last ItemType in the SequenceType , as described in occurrence-indicators constraint.
Here are some examples of sequence types that might be used in XPath
xs:date
refers to the built-in atomic schema type
named
xs:date
attribute()?
refers to an optional attribute
element()
refers to any element node
element(po:shipto, po:address)
refers to an element
node that has the name
po:shipto
and has the type
annotation
po:address
(or a schema type derived from
po:address
)
element(*, po:address)
refers to an element node of
any name that has the type annotation
po:address
(or a
type derived from
po:address
)
element(customer)
refers to an element node named
customer
with any type annotation
schema-element(customer)
refers to an element node
whose name is
customer
(or is in the substitution
group headed by
customer
) and whose type annotation
matches the schema type declared for a
customer
element in the
in-scope element declarations
node()*
refers to a sequence of zero or more nodes
of any kind
item()+
refers to a sequence of one or more
items
function(*)
refers to any
function
DM30
,
regardless of arity or type
function(node()) as xs:string*
refers to a
function
DM30
that takes a single argument whose value is a single node, and
returns a sequence of zero or more xs:string values
(function(node()) as xs:string)*
refers to a
sequence of zero or more
functions
DM30
,
each of which takes a single argument whose value is a single node,
and returns as its result a single xs:string value
[
Definition
:
SequenceType
matching
compares the
dynamic type
of a value with an expected
sequence
type
. ] For example, an
instance of
expression
returns
true
if the
dynamic type
of a given value matches a
given
sequence
type
, or
false
if it does not.
An XPath 3.0 implementation must be able to determine relationships among the types in type annotations in an XDM instance and the types in the in-scope schema definitions (ISSD).
[
Definition
: The use of a value
whose
dynamic
type
is derived from an expected type is known as
subtype
substitution
.] Subtype substitution does not change the actual
type of a value. For example, if an
xs:integer
value
is used where an
xs:decimal
value is expected, the
value retains its type as
xs:integer
.
The definition of
SequenceType matching
relies on a
pseudo-function named
derives-from(
AT
,
ET
)
, which takes an actual simple or complex
schema type
AT
and an expected simple or complex schema
type
ET
, and either returns a boolean value or raises a
type error
[
err:XPTY0004
].
This function is defined as follows:
derives-from(
AT
,
ET
)
raises a type error [
err:XPTY0004
] if
ET
is not present in
the
in-scope schema definitions
(ISSD).
derives-from(
AT
,
ET
)
returns
true
if any of the
following conditions applies:
AT is ET
ET is the base type of AT
ET is a pure union type of which AT is a member type
There is a type
MT
such that
derives-from(
AT
,
MT
)
and
derives-from(
MT
,
ET
The rules for SequenceType matching are given below, with examples (the examples are for purposes of illustration, and do not cover all possible cases).
The
sequence
type
empty-sequence()
matches a value that is the
empty sequence.
An ItemType with no OccurrenceIndicator matches any value that contains exactly one item if the ItemType matches that item (see 2.5.5.2 Matching an ItemType and an Item ).
An ItemType with an OccurrenceIndicator matches a value if the number of items in the value matches the OccurrenceIndicator and the ItemType matches each of the items in the value.
An OccurrenceIndicator specifies the number of items in a sequence, as follows:
?
matches zero or one items
*
matches zero or more items
+
matches one or more items
As a consequence of these rules, any
sequence type
whose
OccurrenceIndicator
is
*
or
?
matches a value that is an empty
sequence.
An
ItemType
consisting
simply of an EQName is interpreted as an
AtomicOrUnionType
. The
expected type
AtomicOrUnionType
matches an atomic value
whose actual type is
AT
if
derives-from(
AT, AtomicOrUnionType
)
is
true
.
The name of an AtomicOrUnionType has its prefix expanded to a namespace URI by means of the statically known namespaces , or if unprefixed, the default element/type namespace . If the expanded QName of an AtomicOrUnionType is not defined as a generalized atomic type in the in-scope schema types , a static error is raised [ err:XPST0051 ].
Example: The
ItemType
xs:decimal
matches any value of type
xs:decimal
. It also matches any value of type
shoesize
, if
shoesize
is an atomic type
derived by restriction from
xs:decimal
.
Example: Suppose
ItemType
dress-size
is a union type that allows either
xs:decimal
values for numeric sizes (e.g. 4, 6, 10,
12), or one of an enumerated set of
xs:strings
(e.g.
"small", "medium", "large"). The
ItemType
dress-size
matches any of these values.
Note:
The names of non-atomic types such as
xs:IDREFS
are
not accepted in this context, but can often be replaced by a
generalized atomic type
with an
occurrence indicator, such as
xs:IDREF+
.
item()
matches any single
item
.
Example:
item()
matches the atomic value
1
, the element
<a/>
, or the
function
fn:concat#3
.
node()
matches any node.
text()
matches any text node.
processing-instruction()
matches any
processing-instruction node.
processing-instruction(
N
)
matches any processing-instruction node whose PITarget is equal to
fn:normalize-space(N)
. If
fn:normalize-space(N)
is not in the lexical space of
NCName, a type error is raised [
err:XPTY0004
]
Example:
processing-instruction(xml-stylesheet)
matches any processing instruction whose PITarget is
xml-stylesheet
.
For backward compatibility with XPath 1.0, the PITarget of a
processing instruction may also be expressed as a string literal,
as in this example:
processing-instruction("xml-stylesheet")
.
If the specified PITarget is not a syntactically valid NCName, a type error is raised [ err:XPTY0004 ].
comment()
matches any comment node.
namespace-node()
matches any namespace node.
document-node()
matches any document node.
document-node(
E
)
matches
any document node that contains exactly one element node,
optionally accompanied by one or more comment and processing
instruction nodes, if
E
is an
ElementTest
or
SchemaElementTest
that matches
the element node (see
2.5.5.3 Element
Test
and
2.5.5.4
Schema Element Test
).
Example:
document-node(element(book))
matches a
document node containing exactly one element node that is matched
by the ElementTest
element(book)
.
A ParenthesizedItemType matches an item if and only if the item matches the ItemType that is in parentheses.
An ItemType that is an ElementTest , SchemaElementTest , AttributeTest , SchemaAttributeTest , or FunctionTest matches an item as described in the following sections.
An ElementTest is used to match an element node by its name and/or type annotation .
The ElementName and TypeName of an ElementTest have their prefixes expanded to namespace URIs by means of the statically known namespaces , or if unprefixed, the default element/type namespace . The ElementName need not be present in the in-scope element declarations , but the TypeName must be present in the in-scope schema types [ err:XPST0008 ]. Note that substitution groups do not affect the semantics of ElementTest .
An ElementTest may take any of the following forms:
element()
and
element(*)
match any
single element node, regardless of its name or type annotation.
element(
ElementName
)
matches
any element node whose name is
ElementName
, regardless of its type
annotation or
nilled
property.
Example:
element(person)
matches any element node
whose name is
person
.
element(
ElementName
,
TypeName
)
matches an
element node whose name is
ElementName
if
derives-from(
AT
,
TypeName
)
is
true
, where
AT
is the type annotation of the
element node, and the
nilled
property of the node is
false
.
Example:
element(person, surgeon)
matches a
non-nilled element node whose name is
person
and whose
type annotation is
surgeon
(or is derived from
surgeon
).
element(
ElementName
,
TypeName
?)
matches an
element node whose name is
ElementName
if
derives-from(
AT
,
TypeName
)
is
true
, where
AT
is the type annotation of the
element node. The
nilled
property of the node may be
either
true
or
false
.
Example:
element(person, surgeon?)
matches a nilled
or non-nilled element node whose name is
person
and
whose type annotation is
surgeon
(or is derived from
surgeon
).
element(*,
TypeName
)
matches an
element node regardless of its name, if
derives-from(
AT
,
TypeName
)
is
true
, where
AT
is the type
annotation of the element node, and the
nilled
property of the node is
false
.
Example:
element(*, surgeon)
matches any non-nilled
element node whose type annotation is
surgeon
(or is
derived from
surgeon
), regardless of its name.
element(*,
TypeName
?)
matches an
element node regardless of its name, if
derives-from(
AT
,
TypeName
)
is
true
, where
AT
is the type
annotation of the element node. The
nilled
property of
the node may be either
true
or
false
.
Example:
element(*, surgeon?)
matches any nilled or
non-nilled element node whose type annotation is
surgeon
(or is derived from
surgeon
),
regardless of its name.
A SchemaElementTest matches an element node against a corresponding element declaration found in the in-scope element declarations .
The ElementName of a SchemaElementTest has its prefixes expanded to a namespace URI by means of the statically known namespaces , or if unprefixed, the default element/type namespace . If the ElementName specified in the SchemaElementTest is not found in the in-scope element declarations , a static error is raised [ err:XPST0008 ].
A SchemaElementTest matches a candidate element node if all of the following conditions are satisfied:
Either:
The name N of the candidate node matches the specified ElementName , or
The name N of the candidate node matches the name of an element declaration that is a member of the actual substitution group headed by the declaration of element ElementName .
Note:
The term "actual substitution group" is defined in [XML Schema 1.1] . The actual substitution group of an element declaration H includes those element declarations P that are declared to have H as their direct or indirect substitution group head, provided that P is not declared as abstract, and that P is validly substitutable for H , which means that there must be no blocking constraints that prevent substitution.
The schema element declaration named N is not abstract.
derives-from( AT, ET )
is true, where
AT
is the type annotation of the candidate node and
ET
is the
schema type declared in the schema element declaration named
If the schema element declaration named N is not nillable, then the nilled property of the candidate node is false.
Example: The
SchemaElementTest
schema-element(customer)
matches a candidate element
node
in the following two situations:
customer is a top-level element declaration in the in-scope element declarations; the name of the candidate node is customer; the element declaration of customer is not abstract; the type annotation of the candidate node is the same as or derived from the schema type declared in the customer element declaration; and either the candidate node is not nilled, or customer is declared to be nillable.
customer is a top-level element declaration in the in-scope element declarations; the name of the candidate node is client; client is an actual (non-abstract and non-blocked) member of the substitution group of customer; the type annotation of the candidate node is the same as or derived from the schema type declared for the client element; and either the candidate node is not nilled, or client is declared to be nillable.
The AttributeName and TypeName of an AttributeTest have their prefixes expanded to namespace URIs by means of the statically known namespaces . If unprefixed, the AttributeName is in no namespace, but an unprefixed TypeName is in the default element/type namespace . The AttributeName need not be present in the in-scope attribute declarations , but the TypeName must be present in the in-scope schema types [ err:XPST0008 ].
An AttributeTest may take any of the following forms:
attribute()
and
attribute(*)
match any
single attribute node, regardless of its name or type
annotation.
attribute(
AttributeName
)
matches any attribute node whose name is
AttributeName
, regardless of its
type annotation.
Example:
attribute(price)
matches any attribute
node whose name is
price
.
attribute(
AttributeName
,
TypeName
)
matches an
attribute node whose name is
AttributeName
if
derives-from(
AT
,
TypeName
)
is
true
, where
AT
is the type annotation of the
attribute node.
Example:
attribute(price, currency)
matches an
attribute node whose name is
price
and whose type
annotation is
currency
(or is derived from
currency
).
attribute(*,
TypeName
)
matches an
attribute node regardless of its name, if
derives-from(
AT
,
TypeName
)
is
true
, where
AT
is the type annotation of the
attribute node.
Example:
attribute(*, currency)
matches any
attribute node whose type annotation is
currency
(or
is derived from
currency
), regardless of its name.
A SchemaAttributeTest matches an attribute node against a corresponding attribute declaration found in the in-scope attribute declarations .
The AttributeName of a SchemaAttributeTest has its prefixes expanded to a namespace URI by means of the statically known namespaces . If unprefixed, an AttributeName is in no namespace. If the AttributeName specified in the SchemaAttributeTest is not found in the in-scope attribute declarations , a static error is raised [ err:XPST0008 ].
A SchemaAttributeTest matches a candidate attribute node if both of the following conditions are satisfied:
The name of the candidate node matches the specified AttributeName .
derives-from(
AT, ET
)
is
true
, where
AT
is the type annotation of the
candidate node and
ET
is the schema type declared for
attribute
AttributeName
in
the
in-scope attribute declarations
.
Example: The
SchemaAttributeTest
schema-attribute(color)
matches a candidate attribute
node if
color
is a top-level attribute declaration in
the
in-scope attribute declarations
, the name of the
candidate node is
color
, and the type annotation of
the candidate node is the same as or derived from the schema type
declared for the
color
attribute.
Here are some examples of FunctionTest s:
function(*)
matches any
function
DM30
.
function(int, int) as int
matches any
function
DM30
with the function signature
function(int, int) as
int
.
Given two
sequence types
, it is possible to determine
if one is a subtype of the other. [
Definition
: A
sequence type
A
is a
subtype
of a sequence type
B
if the judgement
subtype(A, B)
is
true.] When the judgement
subtype(A, B)
is true, it is
always the case that for any value
V
,
(V
instance of A)
implies
(V instance of B)
.
subtype(A,
The judgement
subtype(A, B)
determines if the
sequence type
A
is a
subtype
of the sequence type
B
.
A
can either be
empty-sequence()
,
xs:error
,
or an
ItemType
,
Ai
, possibly
followed by an occurrence indicator. Similarly
B
can
either be
empty-sequence()
,
xs:error
,
or an
ItemType
,
Bi
, possibly
followed by an occurrence indicator. The result of the
subtype(A, B)
judgement can be determined from the
table below, which makes use of the auxiliary judgement
subtype-itemtype(Ai, Bi)
defined in
2.5.6.2 The judgement
subtype-itemtype(Ai, Bi)
.
xs:error+
is treated the same way as
xs:error
in the above table.
xs:error?
and
xs:error*
are treated the same way as
empty-sequence()
.
2.5.6.2 The judgement
subtype-itemtype(Ai, Bi)
The judgement
subtype-itemtype(Ai, Bi)
determines
if the
ItemType
Ai
is a
subtype
of the
ItemType
Bi
.
Ai
is a subtype of
Bi
if and only if at least one of the following
conditions applies:
Ai
and
Bi
are
AtomicOrUnionTypes
, and
derives-from(Ai, Bi)
returns
true
.
Ai
is a pure union type, and every type
t
in the transitive membership of
Ai
satisfies
subtype-itemType(t, Bi)
.
Ai
is
xs:error
and
Bi
is
a
generalized atomic type
.
Bi
is
item()
.
Bi
is
node()
, and
Ai
is a
KindTest
.
Bi
is
text()
and
Ai
is
also
text()
.
Bi
is
comment()
and
Ai
is
also
comment()
.
Bi
is
namespace-node()
and
Ai
is also
namespace-node()
.
Bi
is
processing-instruction()
and
Ai
is either
processing-instruction()
or
processing-instruction(N)
for any name N.
Bi
is
processing-instruction(Bn)
, and
Ai
is also
processing-instruction(Bn)
.
Bi
is
document-node()
and
Ai
is either
document-node()
or
document-node(E)
for any
ElementTest
E.
Bi
is
document-node(Be)
and
Ai
is
document-node(Ae)
, and
subtype-itemtype(Ae, Be)
.
Bi
is either
element()
or
element(*)
, and
Ai
is an
ElementTest
.
Bi
is either
element(Bn)
or
element(Bn, xs:anyType?)
, the
expanded QName
of
An
equals the
expanded QName
of
Bn
, and
Ai
is either
element(An)
, or
element(An, T?)
for any type T.
Bi
is
element(Bn, Bt)
, the
expanded QName
of
An
equals the
expanded QName
of
Bn
,
Ai
is
element(An, At)
, and
derives-from(At, Bt)
returns
true
.
Bi
is
element(Bn, Bt?)
, the
expanded QName
of
An
equals the
expanded QName
of
Bn
,
Ai
is either
element(An, At)
or
element(An, At?)
, and
derives-from(At,
Bt)
returns
true
.
Bi
is
element(*, Bt)
,
Ai
is either
element(*, At)
or
element(N,
At)
for any name N, and
derives-from(At, Bt)
returns
true
.
Bi
is
element(*, Bt?)
,
Ai
is either
element(*, At)
,
element(*,
At?)
,
element(N, At)
, or
element(N,
At?)
for any name N, and
derives-from(At, Bt)
returns
true
.
Bi
is
schema-element(Bn)
,
Ai
is
schema-element(An)
, and every
element declaration that is an actual member of the substitution
group of
An
is also an actual member of the
substitution group of
Bn
.
Note:
The fact that
P
is a member of the substitution
group of
Q
does not mean that every element
declaration in the substitution group of
P
is also in
the substitution group of
Q
. For example,
Q
might block substitution of elements whose type is
derived by extension, while
P
does not.
Bi
is either
attribute()
or
attribute(*)
, and
Ai
is an
AttributeTest
.
Bi
is either
attribute(Bn)
or
attribute(Bn, xs:anyType)
, the
expanded QName
of
An
equals the
expanded QName
of
Bn
, and
Ai
is either
attribute(An)
, or
attribute(An, T)
for any type T.
Bi
is
attribute(Bn, Bt)
, the
expanded QName
of
An
equals the
expanded QName
of
Bn
,
Ai
is
attribute(An, At)
, and
derives-from(At, Bt)
returns
true
.
Bi
is
attribute(*, Bt)
,
Ai
is either
attribute(*, At)
, or
attribute(N, At)
for any name N, and
derives-from(At, Bt)
returns
true
.
Bi
is
schema-attribute(Bn)
, the
expanded
QName
of
An
equals the
expanded QName
of
Bn
,
and
Ai
is
schema-attribute(An)
.
Bi
is
function(*)
.
Bi
is
function(Ba_1, Ba_2, ... Ba_N) as
Br
,
Ai
is
function(Aa_1, Aa_2, ... Aa_M)
as Ar
, where ;
N
(arity of Bi) equals
M
(arity of Ai);
subtype(Ar, Br)
;
and
for values of
I
between
1 and
N
,
subtype(Ba_I, Aa_I)
.
Note:
Function return types are covariant because this rule invokes
subtype(Ar, Br) for return types. Function arguments are
contravariant because this rule invokes subtype(Ba_I, Aa_I) for
arguments.
2.5.7 xs:error
The type
xs:error
has an empty value space; it
never appears as a dynamic type or as the content type of a dynamic
element or attribute type.
xs:error
offers an
alternative way of raising errors, in addition to fn:error.
A cast to
xs:error
raises an error or returns the
empty sequence. Promotion to
xs:error
is not possible.
Neither
xs:error
nor
xs:error+
can ever
match a value.
xs:error
is a subtype of all simple
types, and a supertype only of itself.
xs:error?
and
xs:error*
are identical to empty-sequence(). A
variable binding with a type declaration xs:error always raises a
type error. .
2.6 Comments
Comments may be used to provide
information relevant to
programmers who read
an
expression
. Comments are lexical constructs only, and do not
affect
expression
processing.
Comments are strings, delimited by the symbols
(:
and
:)
. Comments may be nested.
A comment may be used anywhere
ignorable whitespace
is allowed
(see
A.2.4.1 Default
Whitespace Handling
).
The following is an example of a comment:
(: Houston, we have a problem :)
Expressions
This section discusses each of the basic kinds of expression.
Each kind of expression has a name such as
PathExpr
,
which is introduced on the left side of the grammar production that
defines the expression. Since XPath 3.0 is a composable language,
each kind of expression is defined in terms of other expressions
whose operators have a higher precedence. In this way, the
precedence of operators is represented explicitly in the
grammar.
The order in which expressions are discussed in this document
does not reflect the order of operator precedence. In general, this
document introduces the simplest kinds of expressions first,
followed by more complex expressions. For the complete grammar, see
Appendix [
A XPath 3.0 Grammar
].
The highest-level symbol in the XPath
grammar is XPath.
The XPath 3.0 operator that has lowest precedence is the
comma
operator
, which is used to combine two operands to form a
sequence. As shown in the grammar, a general expression (
Expr
) can consist of multiple
ExprSingle
operands, separated by
commas. The name
ExprSingle
denotes an expression that does not contain a top-level
comma operator
(despite its name, an
ExprSingle
may evaluate to a sequence
containing more than one item.)
The symbol
ExprSingle
is
used in various places in the grammar where an expression is not
allowed to contain a top-level comma. For example, each of the
arguments of a function call must be an
ExprSingle
, because commas are used
to separate the arguments of a function call.
After the comma, the expressions that have next lowest
precedence are
ForExpr
,
LetExpr
,
QuantifiedExpr
,
IfExpr
, and
OrExpr
. Each of these expressions is
described in a separate section of this document.
3.1 Primary Expressions
[
Definition
:
Primary
expressions
are the basic primitives of the language. They
include literals, variable references, context item expressions,
and function calls. A primary expression may also be created by
enclosing any expression in parentheses, which is sometimes helpful
in controlling the precedence of operators.]
3.1.1 Literals
[
Definition
: A
literal
is a direct syntactic
representation of an atomic value.] XPath 3.0 supports two kinds of
literals: numeric literals and string literals.
The value of a
numeric literal
containing no
"
.
" and no
e
or
E
character
is an atomic value of type
xs:integer
. The value of a
numeric literal containing "
.
" but no
e
or
E
character is an atomic value of type
xs:decimal
. The value of a numeric literal containing
an
e
or
E
character is an atomic value of
type
xs:double
. The value of the numeric literal is
determined by casting it to the appropriate type according to the
rules for casting from
xs:untypedAtomic
to a numeric
type as specified in
Section
18.2 Casting from xs:string and xs:untypedAtomic
FO30
.
The value of a
string literal
is
an atomic value whose type is
xs:string
and whose
value is the string denoted by the characters between the
delimiting apostrophes or quotation marks. If the literal is
delimited by apostrophes, two adjacent apostrophes within the
literal are interpreted as a single apostrophe. Similarly, if the
literal is delimited by quotation marks, two adjacent quotation
marks within the literal are interpreted as one quotation mark.
Here are some examples of literal expressions:
"12.5"
denotes the string containing the characters
'1', '2', '.', and '5'.
12
denotes the
xs:integer
value
twelve.
12.5
denotes the
xs:decimal
value
twelve and one half.
125E2
denotes the
xs:double
value
twelve thousand, five hundred.
"He said, ""I don't like it."""
denotes a string
containing two quotation marks and one apostrophe.
Note:
When XPath expressions are embedded in contexts where quotation
marks have special significance, such as inside XML attributes,
additional escaping may be needed.
The
xs:boolean
values
true
and
false
can be constructed by calls to the
built-in
functions
fn:true()
and
fn:false()
,
respectively.
Values of other atomic types can be constructed by calling the
constructor function
for the given
type. The constructor functions for XML Schema built-in types are
defined in
[XQuery and XPath
Functions and Operators 3.0]
. In general, the name of a
constructor function for a given type is the same as the name of
the type (including its namespace). For example:
xs:integer("12")
returns the integer value
twelve.
xs:date("2001-08-25")
returns an item whose type is
xs:date
and whose value represents the date 25th
August 2001.
xs:dayTimeDuration("PT5H")
returns an item whose
type is
xs:dayTimeDuration
and whose value represents
a duration of five hours.
Constructor functions can also be used to create special values
that have no literal representation, as in the following
examples:
xs:float("NaN")
returns the special floating-point
value, "Not a Number."
xs:double("INF")
returns the special
double-precision value, "positive infinity."
Constructor functions are available for all
Generalized atomic types
,
including union types. For example, if
my:dt
is a
user-defined union type whose member types are
xs:date
,
xs:time
, and
xs:dateTime
, then the expression
my:dt("2011-01-10")
creates an atomic value of type
xs:date
. The rules follow XML Schema validation rules
for union types: the effect is to choose the first member type that
accepts the given string in its lexical space.
It is also possible to construct values of various types by
using a
cast
expression. For example:
9 cast as hatsize
returns the atomic value
9
whose type is
hatsize
.
[
Definition
: A
variable
reference
is an EQName preceded by a $-sign.] An unprefixed
variable reference is in no namespace.
Two variable
references are equivalent if their
expanded QNames
are equal (as defined by
the
eq
operator).
The scope of a variable
binding is defined separately for each kind of expression that can
bind variables.
Every variable reference must match a name in the
in-scope
variables
.
Every variable binding has a static scope. The scope defines
where references to the variable can validly occur. It is a
static error
[
err:XPST0008
] to
reference a variable that is not in scope. If a variable is bound
in the
static
context
for an expression, that variable is in scope for the
entire expression
except where it is occluded by another
binding that uses the same name within that scope
.
At evaluation time, the value of a variable reference is the
value to which the relevant variable is bound.
3.1.3 Parenthesized Expressions
Parentheses may be used to override the precedence rules. For
example, the expression
(2 + 4) * 5
evaluates to
thirty, since the parenthesized expression
(2 + 4)
is
evaluated first and its result is multiplied by five. Without
parentheses, the expression
2 + 4 * 5
evaluates to
twenty-two, because the multiplication operator has higher
precedence than the addition operator.
Empty parentheses are used to denote an empty sequence, as
described in
3.4.1 Constructing
Sequences
.
3.1.4 Context Item Expression
A
context item expression
evaluates to the
context item
, which may
be either a node (as in the expression
fn:doc("bib.xml")/books/book[fn:count(./author)>1]
),
or an atomic value or function (as in the expression
(1 to
100)[. mod 5 eq 0]
).
If the
context
item
is
absent
DM30
,
a context item expression raises a dynamic error [
err:XPDY0002
].
3.1.5
Static
Function Calls
[
Definition
: The
built-in functions
supported by XPath 3.0 are defined in
[XQuery and XPath Functions and Operators
3.0]
.]
Additional functions may be provided
in the
static
context
. XPath per se does not provide a way to declare named
functions, but a host language may provide such a
mechanism.
[
Definition
: A
static
function call
consists of an EQName
followed by a parenthesized list of zero or more arguments.]
[
Definition
: An argument to a function
call is either an
argument expression
or an
ArgumentPlaceholder ("?").] If the EQName in a
static
function call
is a
lexical QName
that
has no namespace prefix,
it is considered to be in the
default function namespace.
If the
expanded QName
and number of arguments in
a
static
function call do not match the name and arity
of a
function signature
in the
static context
, a
static error
is
raised [
err:XPST0017
].
[
Definition
: A
static or
dynamic
function call
is a
partial function application
if one or more arguments
is an ArgumentPlaceholder. ]
Evaluation of function calls is described in
3.1.5.1 Evaluating Static and Dynamic
Function Calls
.
Since the arguments of a function call are separated by commas,
any
argument
expression
that contains a top-level
comma operator
must be enclosed in
parentheses. Here are some illustrative examples of
static
function calls:
my:three-argument-function(1, 2, 3)
denotes a
static
function call with three arguments.
my:two-argument-function((1, 2), 3)
denotes a
static
function call with two arguments, the first of
which is a sequence of two values.
my:two-argument-function(1, ())
denotes a
static
function call with two arguments, the second of
which is an empty sequence.
my:one-argument-function((1, 2, 3))
denotes a
static
function call with one argument that is a
sequence of three values.
my:one-argument-function(( ))
denotes a
static
function call with one argument that is an
empty sequence.
my:zero-argument-function( )
denotes a
static
function call with zero arguments.
3.1.5.1 Evaluating
Static and
Dynamic
Function Calls
When a static or dynamic function call
FC
is
evaluated with respect to
a static context
SC
and
a dynamic context
DC
, the result is obtained
as follows:
[
Definition
: The number of
Argument
s
in an
ArgumentList
is its
arity
. ]
The function to be called or partially applied (call it
F
) is obtained as follows:
If
FC
is a static function call: Using the expanded
QName corresponding to
FC
's
EQName
, and the
arity of
FC
's
ArgumentList
, the
corresponding function is looked up in the
named functions
component of
DC
. Let
F
denote the function
obtained.
If
FC
is a dynamic function call:
FC
's
base expression is evaluated with respect to
SC
and
DC
. If this yields a sequence consisting of a
single function with the same arity as the arity of the
ArgumentList
, let
F
denote that function.
Otherwise, a type error is raised [
err:XPTY0004
].
[
Definition
:
Argument expressions
are evaluated
with respect to
DC
, producing
argument
values
.] The order of argument evaluation is
implementation-dependent
and a
function need not evaluate an argument if the function can evaluate
its body without evaluating that argument.
Each argument value is converted
to the corresponding
parameter type in
F
's signature
by applying the
function conversion rules
,
resulting in a
converted argument value
.
The remainder depends on whether or not
FC
is a
partial function
application
.
If
FC
is a partial function application:
[
Definition
: In a partial function application,
a
fixed position
is an argument/parameter position for which
the
ArgumentList
has an argument expression (as
opposed to an
ArgumentPlaceholder
). ] (Note that a
partial function application need not have any fixed
positions.)
A
new
function is returned
(as the value of
FC
),
with the following properties (as defined in
Section
2.8.1 Functions
DM30
):
name
:
Absent.
parameter names
: The parameter names of
F
,
removing the parameter names at the fixed positions. (So the
function's arity is the arity of F minus the number of fixed
positions.)
signature
:
The signature of
F
, removing the parameter type at each of the fixed
positions.
implementation
:
The implementation of
F
, associated with the same contexts as in
F
. If these contexts are absent in
F
, it is
associated with
SC
and
DC
.
nonlocal variable bindings
:
The
nonlocal variable bindings of
F
, plus, for each fixed
position, a binding of the converted argument value to the
corresponding parameter name.
If
F
's implementation is
implementation-dependent
(e.g.,
it is a built-in function or external function
or host-language-dependent function
, or a partial
application of such a function):
F
's implementation is invoked with the converted
argument values
using the contexts it is associated with in
F
. If these contexts are absent in
F
, it is
associated with
SC
and
DC
.
The result is either an instance of
F
's return type
or a dynamic error. This result is then the result of evaluating
Errors raised by built-in functions are defined in
[XQuery and XPath Functions and Operators
3.0]
.
Errors raised by external functions are
implementation-defined
(see
2.2.4 Consistency
Constraints
).
Errors raised by host-language-dependent functions
are
implementation-defined
.
The
FunctionBody
is evaluated. The dynamic context
for this evaluation is obtained by taking the dynamic context of
the
InlineFunctionExpr
that
contains the
FunctionBody
, and making the following
changes:
The
focus
(context item,
context position, and context size) is
absent
DM30
.
In the
variable values
component of the dynamic
context, each converted argument value is bound to the
corresponding parameter name.
When
this is done,
the
converted
argument value retains its most specific
dynamic type
, even though this type may
be derived from the type of the formal parameter. For example, a
function with a parameter
$p
of type
xs:decimal
can be invoked with an argument of type
xs:integer
, which is derived from
xs:decimal
. During the processing of this function
call
, the
dynamic type
of
$p
inside the
body of the function is considered to be
xs:integer
.
F's nonlocal variable bindings are also added to the
variable values
.
(Note that the names of the nonlocal variables are by definition
disjoint from the parameter names, so there can be no
conflict.)
The value returned by evaluating the function body is then
converted to the declared return type of
F
by applying
the
function conversion rules
. The result
is then the result of evaluating
FC
.
As with argument values,
the value returned by a
function retains its most specific type, which may be derived from
the declared return type of
F
. For example, a function
that has a declared return type of
xs:decimal
may in
fact return a value of dynamic type
xs:integer
.
Rules
[
Definition
: The
function
conversion rules
are used to convert an argument value to its
expected type; that is, to the declared type of the function
parameter.
] The expected type is
expressed as a
sequence type
. The function conversion
rules are applied to a given value as follows:
In a static function call,
if
XPath
1.0 compatibility mode
is
true
and an argument
of a static function
is not of the expected type, then
the following conversions are applied sequentially to the argument
value V:
If the expected type calls for a single item or optional single
item (examples:
xs:string
,
xs:string?
,
xs:untypedAtomic
,
xs:untypedAtomic?
,
node()
,
node()?
,
item()
,
item()?
), then the value V is effectively replaced by
V[1].
If the expected type is
xs:string
or
xs:string?
, then the value
V
is
effectively replaced by
fn:string(V)
.
If the expected type is
xs:double
or
xs:double?
, then the value
V
is
effectively replaced by
fn:number(V)
.
Note:
XPath 1.0 compatibility mode
has no
effect on dynamic function calls, converting the result of an
inline function to its required type, partial function application,
or implicit function calls that occur when evaluating functions
such as fn:for-each and fn:filter.
If the expected type is a sequence of a
generalized atomic type
(possibly
with an occurrence indicator
*
,
+
, or
?
), the following conversions are applied:
Atomization
is
applied to the given value, resulting in a sequence of atomic
values.
Each item in the atomic sequence that is of type
xs:untypedAtomic
is cast to the expected
generalized
atomic type. For
built-in
functions
where the expected type is specified as
numeric
, arguments of type
xs:untypedAtomic
are cast to
xs:double
.
If the item is of type
xs:untypedAtomic
and the
expected type is
namespace-sensitive
, a
type error
[
err:XPTY0117
] is
raised.
For each
numeric
item
in the atomic sequence that can be
promoted
to the expected atomic type using
numeric promotion as described in
B.1 Type
Promotion
, the promotion is done.
For each item of type
xs:anyURI
in the atomic
sequence that can be
promoted
to the expected atomic type using
URI promotion as described in
B.1 Type
Promotion
, the promotion is done.
If the expected type is a
TypedFunctionTest
(possibly
with an occurrence indicator
*
,
+
, or
?
),
function coercion
is applied to
each function in the given value.
If, after the above conversions, the resulting value does not
match the expected type according to the rules for
SequenceType Matching
, a
type error
is raised
[
err:XPTY0004
].
Note that the rules for
SequenceType Matching
permit a
value of a derived type to be substituted for a value of its base
type.
3.1.5.3 Function Coercion
Function coercion is a transformation applied to
functions
DM30
during application of the
function conversion rules
.
[
Definition
:
Function coercion
wraps a
function
DM30
in a new function with signature the same as the expected type.
This effectively delays the checking of the argument and return
types until the function is invoked.]
Function coercion is only defined to operate on
functions
DM30
.
Given a function
F
,
and an expected
function type
, function coercion
proceeds as follows:
If
F
and the expected type have different arity, a type
error is raised [
err:XPTY0004
]. Otherwise, coercion
returns a new function with the following properties (as defined in
Section
2.8.1 Functions
DM30
):
name
:
The name of
F
parameter names
: The parameter names of
F
.
signature
:
Annotations
is
set to the annotations of
F
.
TypedFunctionTest
is set to the expected
type.
implementation
:
In effect, a
FunctionBody
that calls
F
, passing it the
parameters of this new function, in order.
nonlocal variable bindings
:
An empty
mapping.
If the result of invoking the new function would necessarily
result in a type error, that error may be raised during function
coercion. It is implementation dependent whether this happens or
These rules have the following consequences:
SequenceType matching of the function's arguments and result are
delayed until that function is invoked.
The function conversion rules applied to the function's
arguments and result are defined by the SequenceType it has most
recently been coerced to. Additional function conversion rules
could apply when the wrapped function is invoked.
If an implementation has static type information about a
function, that can be used to type check the function's argument
and return types during static analysis.
For instance, consider the following query:
declare function local:filter($s as item()*, $p as function(xs:string) as xs:boolean) as item()*
$s[$p(.)]
let $f := function($a) { starts-with($a, "E") }
return
local:filter(("Ethel", "Enid", "Gertrude"), $f)
The function
$f
has a static type of
function(item()*) as item()*
. When the
local:filter()
function is called, the following
occurs to the function:
The function conversion rules result in applying function
coercion to
$f
, wrapping $f in a new function ($p)
with the signature
function(xs:string) as
xs:boolean
.
$p is matched against the SequenceType of
function(xs:string) as xs:boolean
, and succeeds.
When $p is invoked inside the predicate, function conversion and
SequenceType matching rules are applied to the context item
argument, resulting in an
xs:string
value or a type
error.
$f is invoked with the
xs:string
, which returns an
xs:boolean
.
$p applies function conversion rules to the result sequence from
$f, which already matches its declared return type of
xs:boolean
.
The
xs:boolean
is returned as the result of $p.
Note:
Although the semantics of function coercion are specified in
terms of wrapping the functions, static typing will often be able
to reduce the number of places where this is actually
necessary.
[
Definition
: A
named
function reference
denotes
a
named function
.]
[
Definition
: A
named function
is a
function defined in the static context for the
expression
. To uniquely identify a particular named
function, both its name as an
expanded
QName and its
arity are required.]
If the EQName is a
lexical QName
that has no namespace prefix, it is
considered to be in the default function namespace.
If the
expanded QName
and arity in a
named
function reference
do not match the name and arity of a
function signature in the static context, a static error is raised
[
err:XPST0017
].
The value of a
NamedFunctionRef
is the function
obtained by looking up the expanded QName and arity in the
named
functions
component of the dynamic context.
Furthermore, if the function referenced by a
NamedFunctionRef
has an implementation-dependent
implementation, then the implementation of the function returned by
the
NamedFunctionRef
is associated with the static
context of this
NamedFunctionRef
expression and to the
dynamic context in which it is currently being evaluated.
Certain functions in the
[XQuery
and XPath Functions and Operators 3.0]
specification are
defined to be polymorphic. These are denoted as accepting
parameters of "numeric" type, or returning "numeric" type. Here
"numeric" is a pseudonym for the four primitive numeric types
xs:decimal, xs:integer, xs:float, and xs:double. For the purposes
of
named function references
, these functions are
regarded as taking arguments and producing results of type
xs:anyAtomicType, with a type error raised at runtime if the
argument value provided is not of the correct numeric type.
Note:
The above way of modeling polymorphic functions is semantically
backwards compatible with
XPath 2.0
. An
implementation that supports static typing can choose to model the
types of these functions more accurately if desired.
The following are examples of
named function
references
:
fn:abs#1
references the fn:abs function which takes
a single argument.
fn:concat#5
references the fn:concat function which
takes 5 arguments.
local:myfunc#2
references a function named
local:myfunc which takes 2 arguments.
[
Definition
: An
inline function
expression
creates an anonymous
function
DM30
defined directly in the inline function expression itself.] An
inline function
expression
specifies the names and
SequenceTypes of the parameters to the function, the SequenceType
of the result, and the body of the function.
If a function parameter is declared using a name but no type,
its default type is item()*. If the result type is omitted from an
inline function expression, its default result type is item()*.
The parameters of an inline function expression are considered
to be variables whose scope is the function body. It is a static
error [
err:XQST0039
] for an inline function expression
to have more than one parameter with the same name.
The static context for the function body is inherited from the
location of the inline function expression, with the exception of
the static type of the context item which is initially
absent
DM30
.
The variables in scope for the function body include all
variables representing the function parameters, as well as all
variables that are in scope for the inline function expression.
Note:
Function parameter names can mask variables that would otherwise
be in scope for the function body.
The result of an inline function
expression
is a
single function with the following properties (as defined in
Section
2.8.1 Functions
DM30
):
name
:
Absent.
parameter names
: The parameter names in the
InlineFunctionExpr
's
ParamList
.
signature
:
A
FunctionTest
constructed from the
SequenceType
s in the
InlineFunctionExpr
.
implementation
:
The
InlineFunctionExpr
's
FunctionBody
.
nonlocal variable bindings
:
For each
nonlocal variable, a binding of it to its value in the
variable values
component of the dynamic context of the
InlineFunctionExpr
.
The following are examples of some inline function
expression
s:
This example creates a function that takes no arguments and
returns a sequence of the first 6 primes:
function() as xs:integer+ { 2, 3, 5, 7, 11, 13 }
This example creates a function that takes two xs:double
arguments and returns their product:
function($a as xs:double, $b as xs:double) as xs:double { $a * $b }
This example creates a function that returns its item()*
argument:
function($a) { $a }
This example creates a sequence of functions each of which
returns a different node from the default collection.
collection()/(let $a := . return function() { $a })
[
Definition
: An expression followed by a
predicate (that is,
E1[E2]
) is referred to as a
filter expression
: its effect is to return those items from
the value of
E1
that satisfy the predicate in E2.]
Filter expressions are described in
3.2.1 Filter Expressions
An expression (other than a raw EQName) followed by an argument
list in parentheses (that is,
E1(E2, E3, ...)
) is
referred to as a
dynamic function
call
. Its effect is to evaluate
E1
to obtain a function, and then call that function, with
E2
,
E3
,
...
as arguments.
Dynamic function
calls
are described in
3.2.2 Dynamic Function
Call
.
3.2.1 Filter Expressions
A filter expression consists of a base expression followed by a
predicate, which is an expression written in square brackets. The
result of the filter expression consists of the items returned by
the base expression, filtered by applying the predicate to each
item in turn. The ordering of the items returned by a filter
expression is the same as their order in the result of the primary
expression.
Note:
Where the expression before the square brackets is a
ReverseStep
or
ForwardStep
, the expression is
technically not a filter expression but an
AxisStep
. There are minor differences
in the semantics: see
3.3.3 Predicates
within Steps
Here are some examples of filter expressions:
Given a sequence of products in a variable, return only those
products whose price is greater than 100.
$products[price gt 100]
List all the integers from 1 to 100 that are divisible by 5.
(See
3.4.1 Constructing
Sequences
for an explanation of the
to
operator.)
(1 to 100)[. mod 5 eq 0]
The result of the following expression is the integer 25:
(21 to 29)[5]
The following example returns the fifth through ninth items in
the sequence bound to variable
$orders
.
$orders[fn:position() = (5 to 9)]
The following example illustrates the use of a filter expression
as a
step
in a
path expression
.
It returns the last chapter or appendix within the book bound to
variable
$book
:
$book/(chapter | appendix)[fn:last()]
For each item in the input sequence, the predicate expression is
evaluated using an
inner focus
, defined as follows: The
context item is the item currently being tested against the
predicate. The context size is the number of items in the input
sequence. The context position is the position of the context item
within the input sequence.
For each item in the input sequence, the result of the predicate
expression is coerced to an
xs:boolean
value, called
the
predicate truth value
, as described below. Those items
for which the predicate truth value is
true
are
retained, and those for which the predicate truth value is
false
are discarded.
The predicate truth value is derived by applying the following
rules, in order:
If the value of the predicate expression is a
singleton
atomic value of a
numeric
type or derived
from a
numeric
type, the
predicate truth value is
true
if the value of the
predicate expression is equal (by the
eq
operator) to
the
context position
, and is
false
otherwise.
[
Definition
: A predicate whose predicate
expression returns a numeric type is called a
numeric
predicate
.]
Otherwise, the predicate truth value is the
effective boolean
value
of the predicate expression.
[
Definition
: A
dynamic function
call
consists of a
base expression
that returns the function and a parenthesized list of zero or more
arguments (
argument expressions
or
ArgumentPlaceholders).]
A dynamic function call is evaluated as described in
3.1.5.1 Evaluating Static and Dynamic
Function Calls
.
The following are examples of some dynamic function
calls
:
This example invokes the function contained in $f, passing the
arguments 2 and 3:
$f(2, 3)
This example fetches the second item from sequence $f, treats it
as a function and invokes it, passing an
xs:string
argument:
$f[2]("Hi there")
This example invokes the function $f passing no arguments, and
filters the result with a positional predicate:
$f()[2]
[
Definition
: A
path expression
can be
used to locate nodes within trees. A path expression consists of a
series of one or more
steps
,
separated by "
/
" or "
//
", and optionally
beginning with "
/
" or "
//
".] An initial
"
/
" or "
//
" is an abbreviation for one or
more initial steps that are implicitly added to the beginning of
the path expression, as described below.
A path expression consisting of a single step is evaluated as
described in
3.3.2 Steps
.
A "
/
" at the beginning of a path expression is an
abbreviation for the initial step
(fn:root(self::node()) treat as
document-node())
/
(however, if the "
/
"
is the entire path expression, the trailing "
/
" is
omitted from the expansion.) The effect of this initial step is to
begin the path at the root node of the tree that contains the
context node. If the context item is not a node, a
type error
is raised
[
err:XPTY0020
]. At
evaluation time, if the root node above the context node is not a
document node, a
dynamic error
is raised [
err:XPDY0050
].
A "
//
" at the beginning of a path expression is an
abbreviation for the initial steps
(fn:root(self::node()) treat as
document-node())
/descendant-or-self::node()/
(however, "
//
" by itself is not a valid path
expression [
err:XPST0003
].) The effect of these initial
steps is to establish an initial node sequence that contains the
root of the tree in which the context node is found, plus all nodes
descended from this root. This node sequence is used as the input
to subsequent steps in the path expression. If the context item is
not a node, a
type
error
is raised [
err:XPTY0020
]. At evaluation time, if the root
node above the context node is not a document node, a
dynamic error
is
raised [
err:XPDY0050
].
Note:
The descendants of a node do not include attribute nodes
or namespace nodes
.
3.3.1 Relative Path
Expressions
Relative path expressions are binary operators on step
expressions, which are named
E1
and
E2
in
this section.
Each non-initial occurrence of "
//
" in a path
expression is expanded as described in
3.3.5
Abbreviated Syntax
, leaving a sequence of steps separated
by "
/
" . This sequence of steps is then evaluated from
left to right. Each item produced by the evaluation of
E1
is used as the
context item
to evaluate
E2
;
the sequences resulting from all the evaluations of
E2
are combined to produce a result.
The following example illustrates the use of relative path
expressions.
child::div1/child::para
Selects the
para
element children of the
div1
element children of the context node; that is,
the
para
element grandchildren of the context node
that have
div1
parents.
Note:
Since each step in a path provides context nodes for the
following step, in effect, only the last step in a path is allowed
to return a sequence of non-nodes.
Note:
The "
/
" character can be used
either as a complete path expression or as the beginning of a
longer path expression such as "
/*
". Also,
"
*
" is both the multiply operator and a wildcard in
path expressions. This can cause parsing difficulties when
"
/
" appears on the left-hand side of "
*
".
This is resolved using the
leading-lone-slash
constraint.
For example, "
/*
" and "
/ *
" are valid
path expressions containing wildcards, but "
/*5
" and
"
/ * 5
" raise syntax errors. Parentheses must be used
when "
/
" is used on the left-hand side of an operator,
as in "
(/) * 5
". Similarly, "
4 + / * 5
"
raises a syntax error, but "
4 + (/) * 5
" is a valid
expression. The expression "
4 + /
" is also valid,
because
/
does not occur on the left-hand side of the
operator.
Similarly, in the expression
/ union /*
, "union" is
interpreted as an element name rather than an operator. For it to
be parsed as an operator, the expression should be written
(/) union /*
.
3.3.1.1
Path operator (
/
)
The path operator "/" is used to build expressions for locating
nodes within trees. Its left-hand side expression must return a
sequence of nodes.
The operator
returns either a
sequence of nodes, in which case it additionally performs document
ordering and duplicate elimination, or a sequence of non-nodes.
Each operation
E1/E2
is evaluated as follows:
Expression
E1
is evaluated, and if the result is not a
(possibly empty) sequence
S
of nodes, a
type error
is raised
[
err:XPTY0019
].
Each node in
S
then serves in turn to provide an inner
focus (the node as the context item, its position in
S
as the context position, the length of
S
as the
context size) for an evaluation of
E2
, as described in
2.1.2 Dynamic Context
. The
sequences resulting from all the evaluations of
E2
are
combined as follows:
If every evaluation of
E2
returns a (possibly
empty) sequence of nodes, these sequences are combined, and
duplicate nodes are eliminated based on node identity.
The resulting node sequence is returned in
document
order
.
If every evaluation of
E2
returns a (possibly
empty) sequence of non-nodes, these sequences are
concatenated
, in order,
and
returned.
If the multiple evaluations of
E2
return at least
one node and at least one non-node, a
type error
is raised [
err:XPTY0018
].
Note:
The semantics of the path operator can also be defined using the
simple mapping operator as follows (forming the union with an empty
sequence
($R | ())
has the effect of eliminating
duplicates and sorting nodes into document order):
E1/E2 ::= let $R := E1!E2
return
if (every $r in $R satisfies $r instance of node())
then ($R|())
else if (every $r in $R satisfies not($r instance of node()))
then $R
else error()
[
Definition
: A
step
is a part of a
path expression
that generates a sequence
of items and then filters the sequence by zero or more
predicates
. The value of the step consists
of those items that satisfy the predicates, working from left to
right. A step may be either an
axis step
or a postfix expression.] Postfix
expressions are described in
3.2 Postfix Expressions
.
[
Definition
: An
axis step
returns a sequence
of nodes that are reachable from the context node via a specified
axis. Such a step has two parts: an
axis
, which defines the
"direction of movement" for the step, and a
node test
, which selects nodes based on
their kind, name, and/or
type annotation
.] If the context item is
a node, an axis step returns a sequence of zero or more nodes;
otherwise, a
type
error
is raised [
err:XPTY0020
].
The resulting
node sequence is returned in
document order
.
An axis step may be
either a
forward step
or a
reverse step
, followed by
zero or more
predicates
.
In the
abbreviated syntax
for a step, the axis can be
omitted and other shorthand notations can be used as described in
3.3.5 Abbreviated Syntax
.
The unabbreviated syntax for an axis step consists of the axis
name and node test separated by a double colon. The result of the
step consists of the nodes reachable from the context node via the
specified axis that have the node kind, name, and/or
type annotation
specified by the node test. For example, the step
child::para
selects the
para
element
children of the context node:
child
is the name of the
axis, and
para
is the name of the element nodes to be
selected on this axis. The available axes are described in
3.3.2.1 Axes
. The available node tests are
described in
3.3.2.2 Node Tests
.
Examples of steps are provided in
3.3.4
Unabbreviated Syntax
and
3.3.5
Abbreviated Syntax
.
3.3.2.1 Axes
XPath defines a full set of
axes
for
traversing documents, but a
host language
may define a
subset of these axes. The following axes are defined:
The
child
axis contains the children of the context
node, which are the nodes returned by the
dm:children
accessor in
[XQuery and XPath Data
Model (XDM) 3.0]
.
Note:
Only document nodes and element nodes have children. If the
context node is any other kind of node, or if the context node is
an empty document or element node, then the child axis is an empty
sequence. The children of a document node or element node may be
element, processing instruction, comment, or text nodes.
Attribute
, namespace,
and document nodes
can never appear as children.
the
descendant
axis is defined as the transitive
closure of the child axis; it contains the descendants of the
context node (the children, the children of the children, and so
the
parent
axis contains the sequence returned by
the
dm:parent
accessor in
[XQuery and XPath Data Model (XDM) 3.0]
,
which returns the parent of the context node, or an empty sequence
if the context node has no parent
Note:
An attribute node may have an element node as its parent, even
though the attribute node is not a child of the element node.
the
ancestor
axis is defined as the transitive
closure of the parent axis; it contains the ancestors of the
context node (the parent, the parent of the parent, and so on)
Note:
The ancestor axis includes the root node of the tree in which
the context node is found, unless the context node is the root
node.
the
following-sibling
axis contains the context
node's following siblings, those children of the context node's
parent that occur after the context node in
document order
; if
the context node is an attribute
or
namespace
node, the
following-sibling
axis is
empty
the
preceding-sibling
axis contains the context
node's preceding siblings, those children of the context node's
parent that occur before the context node in
document order
; if
the context node is an attribute
or
namespace
node, the
preceding-sibling
axis is
empty
the
following
axis contains all nodes that are
descendants of the root of the tree in which the context node is
found, are not descendants of the context node, and occur after the
context node in
document order
the
preceding
axis contains all nodes that are
descendants of the root of the tree in which the context node is
found, are not ancestors of the context node, and occur before the
context node in
document order
the
attribute
axis contains the attributes of the
context node, which are the nodes returned by the
dm:attributes
accessor in
[XQuery and XPath Data Model (XDM) 3.0]
;
the axis will be empty unless the context node is an element
the
self
axis contains just the context node
itself
the
descendant-or-self
axis contains the context
node and the descendants of the context node
the
ancestor-or-self
axis contains the context node
and the ancestors of the context node; thus, the ancestor-or-self
axis will always include the root node
the
namespace
axis contains the namespace nodes of
the context node, which are the nodes returned by the
dm:namespace-nodes
accessor in
[XQuery and XPath Data Model (XDM) 3.0]
;
this axis is empty unless the context node is an element node. The
namespace
axis is deprecated
as of
XPath
2.0. If
XPath 1.0 compatibility mode
is
true
, the
namespace
axis must be
supported. If
XPath 1.0 compatibility mode
is
false
, then support for the
namespace
axis is
implementation-defined
. An
implementation that does not support the
namespace
axis when
XPath 1.0 compatibility mode
is
false
must raise a
static error
[
err:XPST0010
] if it is used. Applications
needing information about the
in-scope namespaces
of an element
should use the functions
fn:in-scope-prefixes
and
fn:namespace-uri-for-prefix
defined in
[XQuery and XPath Functions and Operators
3.0]
.
Axes can be categorized as
forward axes
and
reverse
axes
. An axis that only ever contains the context node or nodes
that are after the context node in
document order
is a forward axis. An axis
that only ever contains the context node or nodes that are before
the context node in
document order
is a reverse axis.
The
parent
,
ancestor
,
ancestor-or-self
,
preceding
, and
preceding-sibling
axes are reverse axes; all other
axes are forward axes. The
ancestor
,
descendant
,
following
,
preceding
and
self
axes partition a
document (ignoring attribute
and
namespace
nodes): they do not overlap and together they
contain all the nodes in the document.
[
Definition
: Every axis has a
principal node kind
. If an axis can contain elements, then
the principal node kind is element; otherwise, it is the kind of
nodes that the axis can contain.] Thus:
For the attribute axis, the principal node kind is
attribute.
For the namespace axis, the principal node kind is
namespace.
For all other axes, the principal node kind is element.
Tests
[
Definition
: A
node test
is a condition on
the name, kind (element, attribute, text, document, comment, or
processing instruction), and/or
type annotation
of a node. A node test
determines which nodes contained by an axis are selected by a
step
.]
[
Definition
: A node test that consists only of an
EQName or a Wildcard is called a
name test
.] A name test is
true if and only if the
kind
of the node is the
principal node
kind
for the step axis and the
expanded QName
of the node is equal (as
defined by the
eq
operator) to the
expanded QName
specified by the name test. For example,
child::para
selects the
para
element children of the context node;
if the context node has no
para
children, it selects
an empty set of nodes.
attribute::abc:href
selects the
attribute of the context node with the QName
abc:href
;
if the context node has no such attribute, it selects an empty set
of nodes.
If the EQName is a
lexical QName
, it is resolved into an
expanded QName
using
the
statically known namespaces
in the
expression context. It is a
static error
[
err:XPST0081
] if the QName has a prefix that
does not correspond to any statically known namespace. An
unprefixed QName, when used as a name test on an axis whose
principal node kind
is element, has
the namespace URI of the
default element/type namespace
in
the expression context; otherwise, it has no namespace URI.
A name test is not satisfied by an element node whose name does
not match the
expanded QName
of the name test, even if
it is in a
substitution group
whose head is the
named element.
A node test
*
is true for any node of the
principal node
kind
of the step axis. For example,
child::*
will
select all element children of the context node, and
attribute::*
will select all attributes of the context
node.
A node test can have the form
NCName:*
. In this
case, the prefix is expanded in the same way as with a
lexical QName
, using the
statically known namespaces
in the
static
context
. If the prefix is not found in the statically known
namespaces, a
static error
is raised [
err:XPST0081
]. The node
test is true for any node of the
principal node kind
of the step
axis whose
expanded QName
has the namespace URI to
which the prefix is bound, regardless of the local part of the
name.
A node test can contain a BracedURILiteral, e.g.
Q{http://example.com/msg}*
Such a node test is true
for any node of the principal node kind of the step axis whose
expanded QName has the namespace URI specified in the
BracedURILiteral, regardless of the local part of the name.
A node test can also have the form
*:NCName
. In
this case, the node test is true for any node of the
principal node
kind
of the step axis whose local name matches the given
NCName, regardless of its namespace or lack of a namespace.
[
Definition
: An alternative form of a node test
called a
kind test
can select nodes based on their kind,
name, and
type annotation
.] The syntax and
semantics of a kind test are described in
2.5.4 SequenceType Syntax
and
2.5.5 SequenceType
Matching
. When a kind test is used in a
node test
, only those nodes on
the designated axis that match the kind test are selected. Shown
below are several examples of kind tests that might be used in path
expressions:
node()
matches any node.
text()
matches any text node.
comment()
matches any comment node.
namespace-node()
matches any namespace node.
element()
matches any element node.
schema-element(person)
matches any element node
whose name is
person
(or is in the
substitution
group
headed by
person
), and whose type annotation
is the same as (or is derived from) the declared type of the
person
element in the
in-scope
element declarations
.
element(person)
matches any element node whose name
is
person
, regardless of its type annotation.
element(person, surgeon)
matches any non-nilled
element node whose name is
person
, and whose type
annotation is
surgeon
or is derived from
surgeon
.
element(*, surgeon)
matches any non-nilled element
node whose type annotation is
surgeon
(or is derived
from
surgeon
), regardless of its name.
attribute()
matches any attribute node.
attribute(price)
matches any attribute whose name
is
price
, regardless of its type annotation.
attribute(*, xs:decimal)
matches any attribute
whose type annotation is
xs:decimal
(or is derived
from
xs:decimal
), regardless of its name.
document-node()
matches any document node.
document-node(element(book))
matches any document
node whose content consists of a single element node that satisfies
the
kind test
element(book)
, interleaved with zero or more comments
and processing instructions.
A predicate within a Step has similar syntax
and semantics to a predicate within a
filter expression
. The only difference
is in the way the context position is set for evaluation of the
predicate.
For the purpose of evaluating the context position within a
predicate, the input sequence is considered to be sorted as
follows: into document order if the predicate is in a forward-axis
step, into reverse document order if the predicate is in a
reverse-axis step, or in its original order if the predicate is not
in a step.
Here are some examples of
axis steps
that contain predicates:
This example selects the second
chapter
element
that is a child of the context node:
child::chapter[2]
This example selects all the descendants of the context node
that are elements named
"toy"
and whose
color
attribute has the value
"red"
:
descendant::toy[attribute::color = "red"]
This example selects all the
employee
children of
the context node that have both a
secretary
child
element and an
assistant
child element:
child::employee[secretary][assistant]
When using
predicates
with
a sequence of nodes selected using a
reverse axis
, it is
important to remember that the context positions for such a
sequence are assigned in
reverse document order
. For
example,
preceding::foo[1]
returns the first
qualifying
foo
element in
reverse
document order
, because the predicate is part of an
axis step
using a reverse
axis. By contrast,
(preceding::foo)[1]
returns the
first qualifying
foo
element in
document order
,
because the parentheses cause
(preceding::foo)
to be
parsed as a
primary expression
in which context
positions are assigned in document order. Similarly,
ancestor::*[1]
returns the nearest ancestor element,
because the
ancestor
axis is a reverse axis, whereas
(ancestor::*)[1]
returns the root element (first
ancestor in document order).
The fact that a reverse-axis step assigns context positions in
reverse document order for the purpose of evaluating predicates
does not alter the fact that the final result of the step is always
in document order.
3.3.4 Unabbreviated
Syntax
This section provides a number of examples of path expressions
in which the axis is explicitly specified in each
step
. The syntax used in these examples is
called the
unabbreviated syntax
. In many common cases, it is
possible to write path expressions more concisely using an
abbreviated syntax
, as explained in
3.3.5 Abbreviated Syntax
.
child::para
selects the
para
element
children of the context node
child::*
selects all element children of the
context node
child::text()
selects all text node children of the
context node
child::node()
selects all the children of the
context node. Note that no attribute nodes are returned, because
attributes are not children.
attribute::name
selects the
name
attribute of the context node
attribute::*
selects all the attributes of the
context node
parent::node()
selects the parent of the context
node. If the context node is an attribute node, this expression
returns the element node (if any) to which the attribute node is
attached.
descendant::para
selects the
para
element descendants of the context node
ancestor::div
selects all
div
ancestors of the context node
ancestor-or-self::div
selects the
div
ancestors of the context node and, if the context node is a
div
element, the context node as well
descendant-or-self::para
selects the
para
element descendants of the context node and, if
the context node is a
para
element, the context node
as well
self::para
selects the context node if it is a
para
element, and otherwise returns an empty
sequence
child::chapter/descendant::para
selects the
para
element descendants of the
chapter
element children of the context node
child::*/child::para
selects all
para
grandchildren of the context node
/
selects the root of the tree that contains the
context node, but raises a dynamic error if this root is not a
document node
/descendant::para
selects all the
para
elements in the same document as the context node
/descendant::list/child::member
selects all the
member
elements that have a
list
parent
and that are in the same document as the context node
child::para[fn:position() = 1]
selects the first
para
child of the context node
child::para[fn:position() = fn:last()]
selects the
last
para
child of the context node
child::para[fn:position() = fn:last()-1]
selects
the last but one
para
child of the context node
child::para[fn:position() > 1]
selects all the
para
children of the context node other than the first
para
child of the context node
following-sibling::chapter[fn:position() = 1]
selects the next
chapter
sibling of the context
preceding-sibling::chapter[fn:position() = 1]
selects the previous
chapter
sibling of the context
/descendant::figure[fn:position() = 42]
selects the
forty-second
figure
element in the document containing
the context node
/child::book/child::chapter[fn:position() =
5]/child::section[fn:position() = 2]
selects the second
section
of the fifth
chapter
of the
book
whose parent is the document node that contains
the context node
child::para[attribute::type eq "warning"]
selects
all
para
children of the context node that have a
type
attribute with value
warning
child::para[attribute::type eq 'warning'][fn:position() =
5]
selects the fifth
para
child of the context
node that has a
type
attribute with value
warning
child::para[fn:position() = 5][attribute::type eq
"warning"]
selects the fifth
para
child of the
context node if that child has a
type
attribute with
value
warning
child::chapter[child::title = 'Introduction']
selects the
chapter
children of the context node that
have one or more
title
children whose
typed value
is equal to
the string
Introduction
child::chapter[child::title]
selects the
chapter
children of the context node that have one or
more
title
children
child::*[self::chapter or self::appendix]
selects
the
chapter
and
appendix
children of the
context node
child::*[self::chapter or self::appendix][fn:position() =
fn:last()]
selects the last
chapter
or
appendix
child of the context node
The attribute axis
attribute::
can be abbreviated
by
@
. For example, a path expression
para[@type="warning"]
is short for
child::para[attribute::type="warning"]
and so selects
para
children with a
type
attribute with
value equal to
warning
.
If the axis name is omitted from an
axis step
, the default axis is
child
, with two exceptions: if the
NodeTest
in an
axis step
contains an
AttributeTest
or
SchemaAttributeTest
then the
default axis is
attribute
; if the
NodeTest
in an
axis step
is a
NamespaceNodeTest
then a
static error is raised [
err:XQST0134
]
.
Note:
In an implementation that does not support the namespace axis,
an attempt to access it always raises an error. Thus, an XQuery
implementation will always raise an error in this case, since
XQuery does not support the namespace axis. The namespace axis is
deprecated
as of
XPath 2.0, but required in some
languages that use XPath, including XSLT.
For example, the path expression
section/para
is an
abbreviation for
child::section/child::para
, and the
path expression
section/@id
is an abbreviation for
child::section/attribute::id
. Similarly,
section/attribute(id)
is an abbreviation for
child::section/attribute::attribute(id)
. Note that the
latter expression contains both an axis specification and a
node test
.
Each non-initial occurrence of
//
is effectively
replaced by
/descendant-or-self::node()/
during
processing of a path expression. For example,
div1//para
is short for
child::div1/descendant-or-self::node()/child::para
and
so will select all
para
descendants of
div1
children.
Note:
The path expression
//para[1]
does
not
mean the same as the path expression
/descendant::para[1]
. The latter selects the first
descendant
para
element; the former selects all
descendant
para
elements that are the first
para
children of their respective parents.
A step consisting of
..
is short for
parent::node()
. For example,
../title
is
short for
parent::node()/child::title
and so will
select the
title
children of the parent of the context
node.
Note:
The expression
.
, known as a
context item
expression
, is a
primary expression
, and is described
in
3.1.4 Context Item
Expression
.
Here are some examples of path expressions that use the
abbreviated syntax:
para
selects the
para
element children
of the context node
*
selects all element children of the context
text()
selects all text node children of the
context node
@name
selects the
name
attribute of
the context node
@*
selects all the attributes of the context
para[1]
selects the first
para
child
of the context node
para[fn:last()]
selects the last
para
child of the context node
*/para
selects all
para
grandchildren
of the context node
/book/chapter[5]/section[2]
selects the second
section
of the fifth
chapter
of the
book
whose parent is the document node that contains
the context node
chapter//para
selects the
para
element
descendants of the
chapter
element children of the
context node
//para
selects all the
para
descendants of the root document node and thus selects all
para
elements in the same document as the context
//@version
selects all the
version
attribute nodes that are in the same document as the context
//list/member
selects all the
member
elements in the same document as the context node that have a
list
parent
.//para
selects the
para
element
descendants of the context node
..
selects the parent of the context node
../@lang
selects the
lang
attribute of
the parent of the context node
para[@type="warning"]
selects all
para
children of the context node that have a
type
attribute with value
warning
para[@type="warning"][5]
selects the fifth
para
child of the context node that has a
type
attribute with value
warning
para[5][@type="warning"]
selects the fifth
para
child of the context node if that child has a
type
attribute with value
warning
chapter[title="Introduction"]
selects the
chapter
children of the context node that have one or
more
title
children whose
typed value
is equal to the string
Introduction
chapter[title]
selects the
chapter
children of the context node that have one or more
title
children
employee[@secretary and @assistant]
selects all the
employee
children of the context node that have both a
secretary
attribute and an
assistant
attribute
book/(chapter|appendix)/section
selects every
section
element that has a parent that is either a
chapter
or an
appendix
element, that in
turn is a child of a
book
element that is a child of
the context node.
If
E
is any expression that returns a sequence of
nodes, then the expression
E/.
returns the same nodes
in
document
order
, with duplicates eliminated based on node identity.
3.4 Sequence Expressions
XPath 3.0 supports operators to construct, filter, and combine
sequences
of
items
. Sequences are never nested—for
example, combining the values
1
,
(2, 3)
,
and
( )
into a single sequence results in the sequence
(1, 2, 3)
.
3.4.1
Constructing Sequences
[
Definition
: One way to construct a sequence is
by using the
comma operator
, which evaluates each of its
operands and concatenates the resulting sequences, in order, into a
single result sequence.] Empty parentheses can be used to denote an
empty sequence.
A sequence may contain duplicate
items
, but a sequence is never an item in another
sequence. When a new sequence is created by concatenating two or
more input sequences, the new sequence contains all the items of
the input sequences and its length is the sum of the lengths of the
input sequences.
Note:
In places where the grammar calls for
ExprSingle
, such as the arguments of
a function call, any expression that contains a top-level comma
operator must be enclosed in parentheses.
Here are some examples of expressions that construct
sequences:
The result of this expression is a sequence of five
integers:
(10, 1, 2, 3, 4)
This expression combines four sequences of length one, two,
zero, and two, respectively, into a single sequence of length five.
The result of this expression is the sequence
10, 1, 2, 3,
(10, (1, 2), (), (3, 4))
The result of this expression is a sequence containing all
salary
children of the context node followed by all
bonus
children.
(salary, bonus)
Assuming that
$price
is bound to the value
10.50
, the result of this expression is the sequence
10.50, 10.50
.
($price, $price)
A
range expression
can be used to construct a sequence of
consecutive integers. Each of the operands of the
to
operator is converted as though it was an argument of a function
with the expected parameter type
xs:integer?
. If
either operand is an empty sequence, or if the integer derived from
the first operand is greater than the integer derived from the
second operand, the result of the range expression is an empty
sequence. If the two operands convert to the same integer, the
result of the range expression is that integer. Otherwise, the
result is a sequence containing the two integer operands and every
integer between the two operands, in increasing order.
This example uses a range expression as one operand in
constructing a sequence. It evaluates to the sequence
10, 1,
2, 3, 4
.
(10, 1 to 4)
This example constructs a sequence of length one containing the
single integer
10
.
10 to 10
The result of this example is a sequence of length zero.
15 to 10
This example uses the
fn:reverse
function to
construct a sequence of six integers in decreasing order. It
evaluates to the sequence
15, 14, 13, 12, 11, 10
.
fn:reverse(10 to 15)
The
union
and
|
operators are
equivalent. They take two node sequences as operands and return a
sequence containing all the nodes that occur in either of the
operands.
The
intersect
operator takes two node sequences as
operands and returns a sequence containing all the nodes that occur
in both operands.
The
except
operator takes two node sequences as
operands and returns a sequence containing all the nodes that occur
in the first operand but not in the second operand.
All these operators eliminate duplicate nodes from their result
sequences based on node identity.
The resulting
sequence is returned in
document order
.
If an operand of
union
,
intersect
, or
except
contains an item that is not a node, a
type error
is
raised [
err:XPTY0004
].
If an IntersectExceptExpr contains more than two
InstanceofExprs, they are grouped from left to right. With a
UnionExpr, it makes no difference how operands are grouped, the
results are the same.
Here are some examples of expressions that combine sequences.
Assume the existence of three element nodes that we will refer to
by symbolic names A, B, and C. Assume that the variables
$seq1
,
$seq2
and
$seq3
are
bound to the following sequences of these nodes:
$seq1
is bound to (A, B)
$seq2
is bound to (A, B)
$seq3
is bound to (B, C)
Then:
$seq1 union $seq2
evaluates to the sequence (A,
$seq2 union $seq3
evaluates to the sequence (A, B,
$seq1 intersect $seq2
evaluates to the sequence (A,
$seq2 intersect $seq3
evaluates to the sequence
containing B only.
$seq1 except $seq2
evaluates to the empty
sequence.
$seq2 except $seq3
evaluates to the sequence
containing A only.
In addition to the sequence operators described here,
[XQuery and XPath Functions and Operators
3.0]
includes functions for indexed access to items or
sub-sequences of a sequence, for indexed insertion or removal of
items in a sequence, and for removing duplicate items from a
sequence.
3.5 Arithmetic
Expressions
XPath 3.0 provides arithmetic operators for addition,
subtraction, multiplication, division, and modulus, in their usual
binary and unary forms.
A subtraction operator must be preceded by whitespace if it
could otherwise be interpreted as part of the previous token. For
example,
a-b
will be interpreted as a name, but
a - b
and
a -b
will be interpreted as
arithmetic expressions. (See
A.2.4
Whitespace Rules
for further details on whitespace
handling.)
If an AdditiveExpr contains more than two MultiplicativeExprs,
they are grouped from left to right. So, for instance,
A - B + C - D
is equivalent to
((A - B) + C) - D
Similarly, the operands of a MultiplicativeExpr are grouped from
left to right.
The first step in evaluating an arithmetic expression is to
evaluate its operands. The order in which the operands are
evaluated is
implementation-dependent
.
If
XPath 1.0 compatibility mode
is
true
, each operand is evaluated by applying the
following steps, in order:
Atomization
is
applied to the operand. The result of this operation is called the
atomized operand
.
If the atomized operand is an empty sequence, the result of the
arithmetic expression is the
xs:double
value
NaN
, and the implementation need not evaluate the
other operand or apply the operator. However, an implementation may
choose to evaluate the other operand in order to determine whether
it raises an error.
If the atomized operand is a sequence of length greater than
one, any items after the first item in the sequence are
discarded.
If the atomized operand is now an instance of type
xs:boolean
,
xs:string
,
xs:decimal
(including
xs:integer
),
xs:float
, or
xs:untypedAtomic
, then it is
converted to the type
xs:double
by applying the
fn:number
function. (Note that
fn:number
returns the value
NaN
if its operand cannot be
converted to a number.)
If
XPath 1.0 compatibility mode
is
false
, each
operand is evaluated by applying
the following steps, in order:
Atomization
is
applied to the operand. The result of this operation is called the
atomized operand
.
If the atomized operand is an empty sequence, the result of the
arithmetic expression is an empty sequence, and the implementation
need not evaluate the other operand or apply the operator. However,
an implementation may choose to evaluate the other operand in order
to determine whether it raises an error.
If the atomized operand is a sequence of length greater than
one, a
type error
is raised [
err:XPTY0004
].
If the atomized operand is of type
xs:untypedAtomic
, it is cast to
xs:double
. If the cast fails, a
dynamic error
is
raised. [err:FORG0001]
After evaluation of the operands, if the types of the operands
are a valid combination for the given arithmetic operator, the
operator is applied to the operands, resulting in an atomic value
or a
dynamic
error
(for example, an error might result from dividing by
zero.) The combinations of atomic types that are accepted by the
various arithmetic operators, and their respective result types,
are listed in
B.2 Operator Mapping
together with the
operator functions
that define the
semantics of the operator for each type combination, including the
dynamic errors that can be raised by the operator. The definitions
of the operator functions are found in
[XQuery and XPath Functions and Operators
3.0]
.
If the types of the operands, after evaluation, are not a valid
combination for the given operator, according to the rules in
B.2 Operator Mapping
, a
type error
is raised
[
err:XPTY0004
].
XPath 3.0 supports two division operators named
div
and
idiv
. Each of these operators accepts two operands
of any
numeric
type. As
described in
[XQuery and XPath
Functions and Operators 3.0]
,
$arg1 idiv $arg2
is
equivalent to
($arg1 div $arg2) cast as xs:integer?
except for error cases.
Here are some examples of arithmetic expressions:
The first expression below returns the
xs:decimal
value
-1.5
, and the second expression returns the
xs:integer
value
-1
:
-3 div 2
-3 idiv 2
Subtraction of two date values results in a value of type
xs:dayTimeDuration
:
$emp/hiredate - $emp/birthdate
This example illustrates the difference between a subtraction
operator and a hyphen:
$unit-price - $unit-discount
Unary operators have higher precedence than binary operators,
subject of course to the use of parentheses. Therefore, the
following two examples have different meanings:
-$bellcost + $whistlecost
-($bellcost + $whistlecost)
Note:
Multiple consecutive unary
arithmetic operators are permitted by XPath 3.0 for compatibility
with
[XML Path Language (XPath) Version
1.0]
.
3.6 String Concatenation
Expressions
String concatenation expressions allow the string
representations of values to be concatenated. In XPath 3.0,
$a || $b
is equivalent to
fn:concat($a,
$b)
. The following expression evaluates to the string
concatenate
:
"con" || "cat" || "enate"
3.7 Comparison
Expressions
Comparison expressions allow two values to be compared. XPath
3.0 provides three kinds of comparison expressions, called value
comparisons, general comparisons, and node comparisons.
Note:
When an XPath expression is written within an XML
document, the XML escaping rules for special characters must be
followed; thus "
<
" must be written as
"
<
".
3.7.1 Value Comparisons
The value comparison operators are
eq
,
ne
,
lt
,
le
,
gt
,
and
ge
. Value comparisons are used for comparing
single values.
The first step in evaluating a value comparison is to evaluate
its operands. The order in which the operands are evaluated is
implementation-dependent
. Each
operand is evaluated by applying the following steps, in order:
Atomization
is
applied to the operand. The result of this operation is called the
atomized operand
.
If the atomized operand is an empty sequence, the result of the
value comparison is an empty sequence, and the implementation need
not evaluate the other operand or apply the operator. However, an
implementation may choose to evaluate the other operand in order to
determine whether it raises an error.
If the atomized operand is a sequence of length greater than
one, a
type error
is raised [
err:XPTY0004
].
If the atomized operand is of type
xs:untypedAtomic
, it is cast to
xs:string
.
Note:
The purpose of this rule is to make value comparisons
transitive. Users should be aware that the general comparison
operators have a different rule for casting of
xs:untypedAtomic
operands. Users should also be aware
that transitivity of value comparisons may be compromised by loss
of precision during type conversion (for example, two
xs:integer
values that differ slightly may both be
considered equal to the same
xs:float
value because
xs:float
has less precision than
xs:integer
).
Next, if possible, the two operands are converted to their least
common type by a combination of
type promotion
and
subtype
substitution
. For example, if the operands are of type
hatsize
(derived from
xs:integer
) and
shoesize
(derived from
xs:float
), their
least common type is
xs:float
.
Finally, if the types of the operands are a valid combination
for the given operator, the operator is applied to the operands.
The combinations of atomic types that are accepted by the various
value comparison operators, and their respective result types, are
listed in
B.2 Operator Mapping
together with the
operator functions
that define the
semantics of the operator for each type combination. The
definitions of the operator functions are found in
[XQuery and XPath Functions and Operators
3.0]
.
Informally, if both atomized operands consist of exactly one
atomic value, then the result of the comparison is
true
if the value of the first operand is (equal, not
equal, less than, less than or equal, greater than, greater than or
equal) to the value of the second operand; otherwise the result of
the comparison is
false
.
If the types of the operands, after evaluation, are not a valid
combination for the given operator, according to the rules in
B.2 Operator Mapping
, a
type error
is raised
[
err:XPTY0004
].
Here are some examples of value comparisons:
The following comparison atomizes the node(s) that are returned
by the expression
$book/author
. The comparison is true
only if the result of atomization is the value "Kennedy" as an
instance of
xs:string
or
xs:untypedAtomic
. If the result of atomization is an
empty sequence, the result of the comparison is an empty sequence.
If the result of atomization is a sequence containing more than one
value, a
type error
is raised [
err:XPTY0004
].
$book1/author eq "Kennedy"
The following
path expression
contains a predicate that
selects products whose weight is greater than 100. For any product
that does not have a
weight
subelement, the value of
the predicate is the empty sequence, and the product is not
selected. This example assumes that
weight
is a
validated element with a numeric type.
//product[weight gt 100]
The following comparison is true if
my:hatsize
and
my:shoesize
are both user-defined types that are
derived by restriction from a primitive
numeric
type:
my:hatsize(5) eq my:shoesize(5)
The following comparison is true. The
eq
operator
compares two QNames by performing codepoint-comparisons of their
namespace URIs and their local names, ignoring their namespace
prefixes.
fn:QName("http://example.com/ns1", "this:color")
eq fn:QName("http://example.com/ns1", "that:color")
!=
,
<
,
<=
,
>
, and
>=
. General comparisons are
existentially quantified comparisons that may be applied to operand
sequences of any length. The result of a general comparison that
does not raise an error is always
true
or
false
.
If
XPath 1.0 compatibility mode
is
true
, a general comparison is evaluated by applying
the following rules, in order:
If either operand is a single atomic value that is an instance
of
xs:boolean
, then the other operand is converted to
xs:boolean
by taking its
effective boolean
value
.
Atomization
is
applied to each operand. After atomization, each operand is a
sequence of atomic values.
If the comparison operator is
<
,
<=
,
>
, or
>=
, then
each item in both of the operand sequences is converted to the type
xs:double
by applying the
fn:number
function. (Note that
fn:number
returns the value
NaN
if its operand cannot be converted to a
number.)
The result of the comparison is
true
if and only if
there is a pair of atomic values, one in the first operand sequence
and the other in the second operand sequence, that have the
required
magnitude relationship
. Otherwise the result of the
comparison is
false
. The
magnitude relationship
between two atomic values is determined by applying the following
rules. If a
cast
operation called for by these rules
is not successful, a dynamic error is raised. [err:FORG0001]
If at least one of the two atomic values is an instance of a
numeric
type, then both
atomic values are converted to the type
xs:double
by
applying the
fn:number
function.
If at least one of the two atomic values is an instance of
xs:string
, or if both atomic values are instances of
xs:untypedAtomic
, then both atomic values are cast to
the type
xs:string
.
If one of the atomic values is an instance of
xs:untypedAtomic
and the other is not an instance of
xs:string
,
xs:untypedAtomic
, or any
numeric
type, then the
xs:untypedAtomic
value is cast to the
dynamic type
of the
other value.
After performing the conversions described above, the atomic
values are compared using one of the value comparison operators
eq
,
ne
,
lt
,
le
,
gt
, or
ge
, depending on whether the
general comparison operator was
=
,
!=
,
<
,
<=
,
>
, or
>=
. The values have the required
magnitude
relationship
if and only if the result of this value comparison
is
true
.
If
XPath 1.0 compatibility mode
is
false
, a
general comparison is evaluated by
applying the following rules, in order:
Atomization
is
applied to each operand. After atomization, each operand is a
sequence of atomic values.
The result of the comparison is
true
if and only if
there is a pair of atomic values, one in the first operand sequence
and the other in the second operand sequence, that have the
required
magnitude relationship
. Otherwise the result of the
comparison is
false
. The
magnitude relationship
between two atomic values is determined by applying the following
rules. If a
cast
operation called for by these rules
is not successful, a dynamic error is raised. [err:FORG0001]
If both atomic values are instances of
xs:untypedAtomic
, then the values are cast to the type
xs:string
.
If exactly one of the atomic values is an instance of
xs:untypedAtomic
, it is cast to a type depending on
the other value's dynamic type T according to the following rules,
in which V denotes the value to be cast:
If T is a numeric type or is derived from a numeric type, then V
is cast to
xs:double
.
If T is
xs:dayTimeDuration
or is derived from
xs:dayTimeDuration
, then V is cast to
xs:dayTimeDuration
.
If T is
xs:yearMonthDuration
or is derived from
xs:yearMonthDuration
, then V is cast to
xs:yearMonthDuration
.
In all other cases, V is cast to the primitive base type of
Note:
The special treatment of the duration types is required to avoid
errors that may arise when comparing the primitive type
xs:duration
with any duration type.
After performing the conversions described above, the atomic
values are compared using one of the value comparison operators
eq
,
ne
,
lt
,
le
,
gt
, or
ge
, depending on whether the
general comparison operator was
=
,
!=
,
<
,
<=
,
>
, or
>=
. The values have the required
magnitude
relationship
if and only if the result of this value comparison
is
true
.
When evaluating a general comparison in which either operand is
a sequence of items, an implementation may return
true
as soon as it finds an item in the first operand and an item in the
second operand that have the required
magnitude
relationship
. Similarly, a general comparison may raise a
dynamic error
as soon as it encounters an error in evaluating either operand, or
in comparing a pair of items from the two operands. As a result of
these rules, the result of a general comparison is not
deterministic in the presence of errors.
Here are some examples of general comparisons:
The following comparison is true if the
typed value
of any
author
subelement of
$book1
is "Kennedy" as an instance of
xs:string
or
xs:untypedAtomic
:
$book1/author = "Kennedy"
The following example contains three general comparisons. The
value of the first two comparisons is
true
, and the
value of the third comparison is
false
. This example
illustrates the fact that general comparisons are not
transitive.
(1, 2) = (2, 3)
(2, 3) = (3, 4)
(1, 2) = (3, 4)
The following example contains two general comparisons, both of
which are
true
. This example illustrates the fact that
the
=
and
!=
operators are not inverses
of each other.
(1, 2) = (2, 3)
(1, 2) != (2, 3)
Suppose that
$a
,
$b
, and
$c
are bound to element nodes with type annotation
xs:untypedAtomic
, with
string values
"
1
",
"
2
", and "
2.0
" respectively. Then
($a, $b) = ($c, 3.0)
returns
false
,
because
$b
and
$c
are compared as
strings. However,
($a, $b) = ($c, 2.0)
returns
true
, because
$b
and
2.0
are
compared as numbers.
3.7.3 Node Comparisons
Node comparisons are used to compare two nodes, by their
identity or by their
document order
. The result of a node
comparison is defined by the following rules:
The operands of a node comparison are evaluated in
implementation-dependent
order.
If either operand is an empty sequence, the result of the
comparison is an empty sequence, and the implementation need not
evaluate the other operand or apply the operator. However, an
implementation may choose to evaluate the other operand in order to
determine whether it raises an error.
Each operand must be either a single node or an empty sequence;
otherwise a
type
error
is raised [
err:XPTY0004
].
A comparison with the
is
operator is
true
if the two operand nodes have the same identity,
and are thus the same node; otherwise it is
false
. See
[XQuery and XPath Data Model (XDM)
3.0]
for a definition of node identity.
A comparison with the
<<
operator returns
true
if the left operand node precedes the right
operand node in
document order
; otherwise it returns
false
.
A comparison with the
>>
operator returns
true
if the left operand node follows the right
operand node in
document order
; otherwise it returns
false
.
Here are some examples of node comparisons:
The following comparison is true only if the left and right
sides each evaluate to exactly the same single node:
/books/book[isbn="1558604820"] is /books/book[call="QA76.9 C3845"]
The following comparison is true only if the node identified by
the left side occurs before the node identified by the right side
in document order:
/transactions/purchase[parcel="28-451"]
<< /transactions/sale[parcel="33-870"]
3.8 Logical Expressions
A
logical expression
is either an
and-expression
or an
or-expression
. If a logical expression does not raise
an error, its value is always one of the boolean values
true
or
false
.
The first step in evaluating a logical expression is to find the
effective boolean
value
of each of its operands (see
2.4.3
Effective Boolean Value
).
The value of an and-expression is determined by the effective
boolean values (EBV's) of its operands, as shown in the following
table:
EBV
2
=
true
EBV
2
=
false
error in EBV
2
EBV
1
=
true
false
error
EBV
1
=
false
false
false
if
XPath 1.0 compatibility mode
is
true
, then
false
; otherwise either
false
or error.
error in EBV
1
error
if
XPath 1.0 compatibility mode
is
true
, then error; otherwise either
false
or error.
error
The value of an or-expression is determined by the effective
boolean values (EBV's) of its operands, as shown in the following
table:
EBV
2
=
true
EBV
2
=
false
error in EBV
2
EBV
1
=
true
if
XPath 1.0 compatibility mode
is
true
, then
true
; otherwise either
true
or error.
EBV
1
=
false
false
error
error in EBV
1
if
XPath 1.0 compatibility mode
is
true
, then error; otherwise either
true
or error.
error
error
If
XPath 1.0 compatibility mode
is
true
, the order in which the operands of a logical
expression are evaluated is effectively prescribed. Specifically,
it is defined that when there is no need to evaluate the second
operand in order to determine the result, then no error can occur
as a result of evaluating the second operand.
If
XPath 1.0 compatibility mode
is
false
, the order in which the operands of a logical
expression are evaluated is
implementation-dependent
.
In this case,
an or-expression can return
true
if the first expression evaluated is true, and it can raise an
error if evaluation of the first expression raises an error.
Similarly, an and-expression can return
false
if the
first expression evaluated is false, and it can raise an error if
evaluation of the first expression raises an error. As a result of
these rules, a logical expression is not deterministic in the
presence of errors, as illustrated in the examples below.
Here are some examples of logical expressions:
The following expressions return
true
:
1 eq 1 and 2 eq 2
1 eq 1 or 2 eq 3
The following expression may return either
false
or
raise a
dynamic
error
(in
XPath
1.0 compatibility mode
, the result must be
false
)
:
1 eq 2 and 3 idiv 0 = 1
The following expression may return either
true
or
raise a
dynamic
error
(in
XPath
1.0 compatibility mode
, the result must be
true
)
:
1 eq 1 or 3 idiv 0 = 1
The following expression must raise a
dynamic error
:
1 eq 1 and 3 idiv 0 = 1
In addition to and- and or-expressions, XPath 3.0 provides a
function named
fn:not
that takes a general sequence as
parameter and returns a boolean value. The
fn:not
function is defined in
[XQuery and
XPath Functions and Operators 3.0]
. The
fn:not
function reduces its parameter to an
effective boolean
value
. It then returns
true
if the effective
boolean value of its parameter is
false
, and
false
if the effective boolean value of its parameter
is
true
. If an error is encountered in finding the
effective boolean value of its operand,
fn:not
raises
the same error.
For Expressions
XPath provides an iteration facility called a
for
expression
.
If the
for
expression uses multiple variables, it
is first expanded to a set of nested
for
expressions,
each of which uses only one variable. For example, the expression
for $x in X, $y in Y return $x + $y
is expanded to
for $x in X return for $y in Y return $x + $y
.
In a single-variable
for
expression, the variable
is called the
range variable
, the value of the expression
that follows the
in
keyword is called the
binding
sequence
, and the expression that follows the
return
keyword is called the
return expression
.
The result of the
for
expression is obtained by
evaluating the
return
expression once for each item in
the binding sequence, with the range variable bound to that item.
The resulting sequences are concatenated (as if by the
comma operator
) in
the order of the items in the binding sequence from which they were
derived.
The following example illustrates the use of a
for
expression in restructuring an input document. The
example is based on the following input:
<title>TCP/IP Illustrated</title>
<author>Stevens</author>
<publisher>Addison-Wesley</publisher>
</book>
<title>Advanced Programming in the Unix Environment</title>
<author>Stevens</author>
<publisher>Addison-Wesley</publisher>
</book>
<title>Data on the Web</title>
<author>Abiteboul</author>
<author>Buneman</author>
<author>Suciu</author>
</book>
The following example transforms the input document into a list
in which each author's name appears only once, followed by a list
of titles of books written by that author. This example assumes
that the context item is the
bib
element in the input
document.
for $a in fn:distinct-values(book/author)
return ((book/author[. = $a])[1], book[author = $a]/title)
The result of the above expression consists of the following
sequence of elements. The titles of books written by a given author
are listed after the name of the author. The ordering of
author
elements in the result is
implementation-dependent
due to
the semantics of the
fn:distinct-values
function.
<author>Stevens</author>
<title>TCP/IP Illustrated</title>
<title>Advanced Programming in the Unix environment</title>
<author>Abiteboul</author>
<title>Data on the Web</title>
<author>Buneman</author>
<title>Data on the Web</title>
<author>Suciu</author>
<title>Data on the Web</title>
The following example illustrates a
for
expression
containing more than one variable:
for $i in (10, 20),
$j in (1, 2)
return ($i + $j)
The result of the above expression, expressed as a sequence of
numbers, is as follows:
11, 12, 21, 22
The scope of a variable bound in a
for
expression
comprises all subexpressions of the
for
expression
that appear after the variable binding. The scope does not include
the expression to which the variable is bound. The following
example illustrates how a variable binding may reference another
variable bound earlier in the same
for
expression:
for $x in $z, $y in f($x)
return g($x, $y)
Note:
The focus for evaluation of the
return
clause of a
for
expression is the same as the focus for evaluation
of the
for
expression itself. The following example,
which attempts to find the total value of a set of order-items, is
therefore incorrect:
fn:sum(for $i in order-item return @price * @qty)
Instead, the expression must be written to use the variable
bound in the
for
clause:
fn:sum(for $i in order-item return $i/@price * $i/@qty)
If the let expression uses multiple variables, it is first
expanded to a set of nested let expressions, each of which uses
only one variable. For example, the expression
let $x := 4,
$y := 3 return $x + $y
is expanded to
let $x := 4
return let $y := 3 return $x + $y
.
In a single-variable let expression, the variable is called the
range variable, the value of the expression that follows the
:=
symbol is called the binding sequence, and the
expression that follows the return keyword is called the return
expression. The result of the let expression is obtained by
evaluating the return expression with the range variable bound to
the binding sequence.
The scope of a variable bound in a let expression comprises all
subexpressions of the let expression that appear after the variable
binding. The scope does not include the expression to which the
variable is bound. The following example illustrates how a variable
binding may reference another variable bound earlier in the same
let expression:
let $x := doc('a.xml')/*, $y := $x//*
return $y[@value gt $x/@min]
Conditional Expressions
XPath 3.0 supports a conditional expression based on the
keywords
if
,
then
, and
else
.
The expression following the
if
keyword is called
the
test expression
, and the expressions following the
then
and
else
keywords are called the
then-expression
and
else-expression
,
respectively.
The first step in processing a conditional expression is to find
the
effective
boolean value
of the test expression, as defined in
2.4.3 Effective Boolean Value
.
The value of a conditional expression is defined as follows: If
the effective boolean value of the test expression is
true
, the value of the then-expression is returned. If
the effective boolean value of the test expression is
false
, the value of the else-expression is
returned.
Conditional expressions have a special rule for propagating
dynamic
errors
. If the effective value of the test expression is
true
, the conditional expression ignores (does not
raise) any dynamic errors encountered in the else-expression. In
this case, since the else-expression can have no observable effect,
it need not be evaluated. Similarly, if the effective value of the
test expression is
false
, the conditional expression
ignores any
dynamic errors
encountered in the
then-expression, and the then-expression need not be evaluated.
Here are some examples of conditional expressions:
In this example, the test expression is a comparison
expression:
if ($widget1/unit-cost < $widget2/unit-cost)
then $widget1
else $widget2
In this example, the test expression tests for the existence of
an attribute named
discounted
, independently of its
value:
if ($part/@discounted)
then $part/wholesale
else $part/retail
3.12 Quantified Expressions
Quantified expressions support existential and universal
quantification. The value of a quantified expression is always
true
or
false
.
A
quantified expression
begins with a
quantifier
,
which is the keyword
some
or
every
,
followed by one or more in-clauses that are used to bind variables,
followed by the keyword
satisfies
and a test
expression. Each in-clause associates a variable with an expression
that returns a sequence of items, called the binding sequence for
that variable. The in-clauses generate tuples of variable bindings,
including a tuple for each combination of items in the binding
sequences of the respective variables. Conceptually, the test
expression is evaluated for each tuple of variable bindings.
Results depend on the
effective boolean value
of the test expressions, as
defined in
2.4.3 Effective Boolean
Value
. The value of the quantified expression is defined by
the following rules:
If the quantifier is
some
, the quantified
expression is
true
if at least one evaluation of the
test expression has the
effective boolean value
true
; otherwise
the quantified expression is
false
. This rule implies
that, if the in-clauses generate zero binding tuples, the value of
the quantified expression is
false
.
If the quantifier is
every
, the quantified
expression is
true
if every evaluation of the test
expression has the
effective boolean value
true
; otherwise
the quantified expression is
false
. This rule implies
that, if the in-clauses generate zero binding tuples, the value of
the quantified expression is
true
.
The scope of a variable bound in a quantified expression
comprises all subexpressions of the quantified expression that
appear after the variable binding. The scope does not include the
expression to which the variable is bound.
The order in which test expressions are evaluated for the
various binding tuples is
implementation-dependent
. If the
quantifier is
some
, an implementation may return
true
as soon as it finds one binding tuple for which
the test expression has an
effective boolean value
of
true
, and it
may raise a
dynamic error
as soon as it finds one
binding tuple for which the test expression raises an error.
Similarly, if the quantifier is
every
, an
implementation may return
false
as soon as it finds
one binding tuple for which the test expression has an
effective boolean
value
of
false
, and it may raise a
dynamic error
as soon
as it finds one binding tuple for which the test expression raises
an error. As a result of these rules, the value of a quantified
expression is not deterministic in the presence of errors, as
illustrated in the examples below.
Here are some examples of quantified expressions:
This expression is
true
if every
part
element has a
discounted
attribute (regardless of the
values of these attributes):
every $part in /parts/part satisfies $part/@discounted
This expression is
true
if at least one
employee
element satisfies the given comparison
expression:
some $emp in /emps/employee satisfies
($emp/bonus > 0.25 * $emp/salary)
In the following examples, each quantified expression evaluates
its test expression over nine tuples of variable bindings, formed
from the Cartesian product of the sequences
(1, 2, 3)
and
(2, 3, 4)
. The expression beginning with
some
evaluates to
true
, and the
expression beginning with
every
evaluates to
false
.
some $x in (1, 2, 3), $y in (2, 3, 4)
satisfies $x + $y = 4
every $x in (1, 2, 3), $y in (2, 3, 4)
satisfies $x + $y = 4
This quantified expression may either return
true
or raise a
type
error
, since its test expression returns
true
for
one variable binding and raises a
type error
for another:
some $x in (1, 2, "cat") satisfies $x * 2 = 4
This quantified expression may either return
false
or raise a
type
error
, since its test expression returns
false
for
one variable binding and raises a
type error
for another:
every $x in (1, 2, "cat") satisfies $x * 2 = 4
The boolean operator
instance of
returns
true
if the value of its first operand matches the
SequenceType
in its second
operand, according to the rules for
SequenceType matching
; otherwise it
returns
false
. For example:
5 instance of xs:integer
This example returns
true
because the given value
is an instance of the given type.
5 instance of xs:decimal
This example returns
true
because the given value
is an integer literal, and
xs:integer
is derived by
restriction from
xs:decimal
.
(5, 6) instance of xs:integer+
This example returns
true
because the given
sequence contains two integers, and is a valid instance of the
specified type.
. instance of element()
This example returns
true
if the context item is an
element node or
false
if the context item is defined
but is not an element node. If the context item is
absent
DM30
,
a
dynamic
error
is raised [
err:XPDY0002
].
Occasionally it is necessary to convert a value to a specific
datatype. For this purpose, XPath 3.0 provides a
cast
expression that creates a new value of a specific type based on an
existing value. A
cast
expression takes two operands:
an
input expression
and a
target type
. The type of
the
atomized value of the
input expression is called
the
input type
.
The SimpleTypeName must be the name of
a type defined in the
in-scope schema types
, and
it must be a
simple type
[
err:XQST0052
].
In addition, the target
type cannot be
xs:NOTATION
,
xs:anySimpleType
,
or
xs:anyAtomicType
[
err:XPST0080
]. The optional occurrence indicator
"
?
" denotes that an empty sequence is permitted. If
the target type
is a lexical QName that
has no
namespace prefix, it is considered to be in the
default
element/type namespace
.
Casting a node to
xs:QName
can cause
surprises because it uses
the static context of the cast
expression to provide the namespace bindings for this operation.
Instead
of casting to
xs:QName
, it is generally
preferable to
use the
fn:QName
function, which
allows the namespace context to be taken from the document
containing the QName.
The semantics of the
cast
expression are as
follows:
The input expression is evaluated.
The result of the first step is
atomized
.
If the result of atomization is a sequence of more than one
atomic value, a
type
error
is raised [
err:XPTY0004
].
If the result of atomization is an empty sequence:
If
?
is specified after the target type, the result
of the
cast
expression is an empty sequence.
If
?
is not specified after the target type, a
type error
is
raised [
err:XPTY0004
].
If the result of atomization is a single atomic value, the
result of the cast expression depends on the input type and the
target type. In general, the cast expression attempts to create a
new value of the target type based on the input value. Only certain
combinations of input type and target type are supported. A summary
of the rules are listed below—the normative definition of these
rules is given in
[XQuery and XPath
Functions and Operators 3.0]
. For the purpose of these rules,
an implementation may determine that one type is derived by
restriction from another type either by examining the
in-scope schema
definitions
or by using an alternative,
implementation-dependent
mechanism such as a data dictionary.
cast
is supported for the combinations of input
type and target type listed in
Section 18.1 Casting from primitive types to primitive types
FO30
. For each of these combinations,
both the input type and the target type are primitive
schema types
. For example,
a value of type
xs:string
can be cast into the schema
type
xs:decimal
. For each of these built-in
combinations, the semantics of casting are specified in
[XQuery and XPath Functions and Operators
3.0]
.
cast
is supported if the input type is a
non-primitive atomic type that is derived by restriction from the
target type. In this case, the input value is mapped into the value
space of the target type, unchanged except for its type. For
example, if
shoesize
is derived by restriction from
xs:integer
, a value of type
shoesize
can
be cast into the schema type
xs:integer
.
cast
is supported if the target type is a
non-primitive atomic type and the input type is
xs:string
or
xs:untypedAtomic
. The input
value is first converted to a value in the lexical space of the
target type by applying the whitespace normalization rules for the
target type (as defined in
[XML Schema
1.0]
or
[XML Schema 1.1]
). The
lexical value is then converted to the value space of the target
type using the schema-defined rules for the target type. If the
input value fails to satisfy some facet of the target type, a
dynamic error
may be raised as specified in
[XQuery
and XPath Functions and Operators 3.0]
.
cast
is supported to any target type if the input
type is
xs:string
or
xs:untypedAtomic
.
The target type may be an atomic type, a union type, or a list
type. The semantics are based on the rules for validation in
[XML Schema 1.0]
or
[XML Schema 1.1]
.
The effect of casting a string
S
to a simple type
T
is the same as constructing an element or attribute
node whose string value is
S
, validating it using
T
as the governing type, and atomizing the resulting
node. The result may be a single atomic value or (if list types are
involved) a sequence of zero or more atomic values.
If the target type is
namespace-sensitive
, then the
namespace bindings in the static context will be used to resolve
any namespace prefix found in the supplied string.
cast
is supported if the target type is a
non-primitive atomic type that is derived by restriction from the
input type. The input value must satisfy all the facets of the
target type (in the case of the pattern facet, this is checked by
generating a string representation of the input value, using the
rules for casting to
xs:string
). The resulting value
is the same as the input value, but with a different
dynamic type
.
If a primitive type P1 can be cast into a primitive type P2,
then any type derived by restriction from P1 can be cast into any
type derived by restriction from P2, provided that the facets of
the target type are satisfied. First the input value is cast to P1
using rule (b) above. Next, the value of type P1 is cast to the
type P2, using rule (a) above. Finally, the value of type P2 is
cast to the target type, using rule (d) above.
For any combination of input type and target type that is not in
the above list, a
cast
expression raises a
type error
[
err:XPTY0004
].
If casting from the input type to the target type is supported
but nevertheless it is not possible to cast the input value into
the value space of the target type, a
dynamic error
is raised.
[err:FORG0001] This includes the case when any facet of the target
type is not satisfied. For example, the expression
"2003-02-31" cast as xs:date
would raise a
dynamic error
.
3.13.3 Castable
XPath 3.0 provides an expression that tests whether a given
value is castable into a given target type.
The
SimpleTypeName must be the name of a type defined in the
in-scope schema
types
, and the type must be
simple
[
err:XQST0052
].
In
addition, the target type cannot be
xs:NOTATION
xs:anySimpleType
,
or
xs:anyAtomicType
[
err:XPST0080
]. The optional occurrence indicator
"
?
" denotes that an empty sequence is permitted.
The expression
E castable as T
returns
true
if the result of evaluating
E
can be
successfully cast into the target type
T
by using a
cast
expression; otherwise it returns
false
. If evaluation of
E
fails with a
dynamic error, the
castable
expression as a whole
fails. The
castable
expression can be used as a
predicate
to avoid errors at
evaluation time. It can also be used to select an appropriate type
for processing of a given value, as illustrated in the following
example:
if ($x castable as hatsize)
then $x cast as hatsize
else if ($x castable as IQ)
then $x cast as IQ
else $x cast as xs:string
3.13.4 Constructor Functions
For every
generalized atomic type
in the
in-scope schema
types
(except
xs:NOTATION
and
xs:anyAtomicType
, which are not instantiable), a
constructor function
is implicitly defined. In each case,
the name of the constructor function is the same as the name of its
target type (including namespace). The signature of the constructor
function for type
T
is as follows:
T($arg as xs:anyAtomicType?) as T?
[
Definition
: The
constructor
function
for a given type is used to convert instances of other
atomic types into the given type. The semantics of the constructor
function call
T($arg)
are defined to be equivalent to
the expression
(($arg) cast as T?)
.]
The following examples illustrate the use of constructor
functions:
This example is equivalent to
("2000-01-01" cast as
xs:date?)
.
xs:date("2000-01-01")
This example is equivalent to
(($floatvalue * 0.2E-5) cast
as xs:decimal?)
.
xs:decimal($floatvalue * 0.2E-5)
This example returns an
xs:dayTimeDuration
value
equal to 21 days. It is equivalent to
("P21D" cast as
xs:dayTimeDuration?)
.
xs:dayTimeDuration("P21D")
If
usa:zipcode
is a user-defined atomic type in the
in-scope schema
types
, then the following expression is equivalent to the
expression
("12345" cast as usa:zipcode?)
.
usa:zipcode("12345")
Note:
An instance of an atomic type that is not in a namespace can be
constructed in either of the following ways:
By using a
cast
expression, if the
default
element/type namespace
is
absent
DM30
.
17 cast as apple
By using a constructor function, if the
default function
namespace
is
absent
DM30
.
apple(17)
XPath 3.0 provides an expression called
treat
that
can be used to modify the
static type
of its operand.
Like
cast
, the
treat
expression takes
two operands: an expression and a
SequenceType
. Unlike
cast
, however,
treat
does not change the
dynamic type
or
value of its operand. Instead, the purpose of
treat
is
to ensure that an expression has an expected dynamic type at
evaluation time.
The semantics of
expr1
treat
as
type1
are as follows:
During static analysis:
The
static
type
of the
treat
expression is
type1
. This enables the expression to be
used as an argument of a function that requires a parameter of
type1
.
During expression evaluation:
If
expr1
matches
type1
, using the rules for
SequenceType matching
, the
treat
expression returns the value of
expr1
; otherwise, it raises a
dynamic error
[
err:XPDY0050
]. If
the value of
expr1
is returned, its identity
is preserved. The
treat
expression ensures that the
value of its expression operand conforms to the expected type at
run-time.
Example:
$myaddress treat as element(*, USAddress)
The
static
type
of
$myaddress
may be
element(*,
Address)
, a less specific type than
element(*,
USAddress)
. However, at run-time, the value of
$myaddress
must match the type
element(*,
USAddress)
using rules for
SequenceType matching
;
otherwise a
dynamic error
is raised [
err:XPDY0050
].
The simple map operator "
!
" is used for simple
mappings. Both its left-hand side expression and its
right-hand-side expression may return a mixed sequence of nodes and
non-nodes.
Each operation
E1!E2
is evaluated as follows:
Expression
E1
is evaluated to a sequence
S
. Each item in
S
then serves in turn to
provide an inner focus (the item as the context item, its position
in
S
as the context position, the length of
S
as the context size) for an evaluation of
E2
in the
dynamic context
. The sequences resulting
from all the evaluations of
E2
are combined as
follows: Every evaluation of
E2
returns a (possibly
empty) sequence of items. These sequences are concatenated and
returned. If ordering mode is ordered, the returned sequence
preserves the orderings within and among the subsequences generated
by the evaluations of
E2
; otherwise the order of the
returned sequence is implementation-dependent.
Simple map operators have functionality similar to
3.3.1.1 Path operator (/)
. The
following table summarizes the differences between these two
operators
Operator
Path operator (
E1 / E2
)
Simple map operator (
E1 ! E2
)
child::div1 / child::para / string() ! concat("id-",
Selects the
para
element children of the
div1
element children of the context node; that is,
the
para
element grandchildren of the context node
that have
div1
parents. It then outputs the strings
obtained by prepending
"id-"
to each of the string
values of these grandchildren.
$emp ! (@first, @middle, @last)
Returns the values of the attributes
first
,
middle
, and
last
for element
$emp
, in the order given. (The
/
operator
here returns the attributes in an unpredictable order.)
$docs ! ( //employee)
Returns all the employees within all the documents identified by
the variable docs, in document order within each document, but
retaining the order of documents.
avg( //employee / salary ! translate(., '$', '') !
number(.))
Returns the average salary of the employees, having converted
the salary to a number by removing any
$
sign and then
converting to a number. (The second occurrence of
!
could not be written as
/
because the left-hand
operand of
/
cannot be an atomic value.)
A.1 EBNF
The grammar of XPath 3.0 uses the same simple Extended
Backus-Naur Form (EBNF) notation as
[XML 1.0]
with the following minor differences.
All named symbols have a name that begins with an uppercase
letter.
It adds a notation for referring to productions in external
specs.
Comments or extra-grammatical constraints on grammar productions
are between '/*' and '*/' symbols.
A 'xgc:' prefix is an extra-grammatical constraint, the details
of which are explained in
A.1.2 Extra-grammatical
Constraints
A 'ws:' prefix explains the whitespace rules for the production,
the details of which are explained in
A.2.4 Whitespace Rules
A 'gn:' prefix means a 'Grammar Note', and is meant as a
clarification for parsing rules, and is explained in
A.1.3 Grammar Notes
. These notes are
not normative.
The terminal symbols for this grammar include the quoted strings
used in the production rules below, and the terminal symbols
defined in section
A.2.1 Terminal
Symbols
.
The EBNF notation is described in more detail in
A.1.1 Notation
.
To increase readability, the EBNF in the main body of this
document omits some of these notational features. This appendix is
the normative version of the EBNF.
The following definitions will be helpful in defining precisely
this exposition.
[
Definition
:
Each rule in the grammar defines one
symbol
, using the
following format:
symbol ::= expression
[
Definition
: A
terminal
is a symbol or string
or pattern that can appear in the right-hand side of a rule, but
never appears on the left-hand side in the main grammar, although
it may appear on the left-hand side of a rule in the grammar for
terminals.] The following constructs are used to match strings of
one or more characters in a terminal:
[a-zA-Z]
matches any
Char
with a value
in the range(s) indicated (inclusive).
[abc]
matches any
Char
with a value
among the characters enumerated.
[^abc]
matches any
Char
with a value
not among the characters given.
"string"
matches the sequence of characters that appear inside the double
quotes.
'string'
matches the sequence of characters that appear inside the single
quotes.
[http://www.w3.org/TR/REC-example/#NT-Example]
matches any string matched by the production defined in the
external specification as per the provided reference.
Patterns (including the above constructs) can be combined with
grammatical operators to form more complex patterns, matching more
complex sets of character strings. In the examples that follow, A
and B represent (sub-)patterns.
A
is treated as a unit and may be combined as
described in this list.
matches
A
or nothing; optional
A
.
matches
A
followed by
B
. This operator
has higher precedence than alternation; thus
A B | C D
is identical to
(A B) | (C D)
.
A | B
matches
A
or
B
but not both.
A - B
matches any string that matches
A
but does not
match
B
.
matches one or more occurrences of
A
. Concatenation
has higher precedence than alternation; thus
A+ | B+
is identical to
(A+) | (B+)
.
matches zero or more occurrences of
A
.
Concatenation has higher precedence than alternation; thus
A*
| B*
is identical to
(A*) | (B*)
A.1.2 Extra-grammatical
Constraints
This section contains constraints on the EBNF productions, which
are required to parse syntactically valid sentences. The notes
below are referenced from the right side of the production, with
the notation:
/* xgc: <id> */
.
Constraint:
leading-lone-slash
A single slash may appear either as a complete path expression
or as the first part of a path expression in which it is followed
by a
RelativePathExpr
.
In some cases, the next token after the slash is insufficient to
allow a parser to distinguish these two possibilities: the
*
token and keywords like
union
could be
either an operator or a
NameTest
. For example, without
lookahead the first part of the expression
/ * 5
is
easily taken to be a complete expression,
/ *
, which
has a very different interpretation (the child nodes of
Therefore to reduce the need for lookahead, if the token
immediately following a slash can form the start of a
RelativePathExpr
, then the
slash must be the beginning of a
PathExpr
, not the entirety of it.
A single slash may be used as the left-hand argument of an
operator by parenthesizing it:
(/) * 5
. The expression
5 * /
, on the other hand, is syntactically valid
without parentheses.
The version of XML and XML Names (e.g.
[XML
1.0]
and
[XML Names]
, or
[XML 1.1]
and
[XML Names
1.1]
) is
implementation-defined
. It is
recommended that the latest applicable version be used (even if it
is published later than this specification). The EBNF in this
specification links only to the 1.0 versions. Note also that these
external productions follow the whitespace rules of their
respective specifications, and not the rules of this specification,
in particular
A.2.4.1
Default Whitespace Handling
. Thus
prefix :
localname
is not a syntactically valid
lexical QName
for purposes of
this specification, just as it is not permitted in a XML document.
Also, comments are not permissible on either side of the colon.
Also extra-grammatical constraints such as well-formedness
constraints must be taken into account.
XPath expressions allow any legal XML Unicode
character, subject only to constraints imposed by the host
language.
Constraint:
reserved-function-names
Unprefixed function names spelled the same way as language
keywords could make the language harder to recognize. For instance,
if(foo)
could be taken either as a
FunctionCall
or as the beginning of
an
IfExpr
. Therefore, an
unprefixed function name must not be any of the names in
A.3 Reserved Function Names
.
A function named "if" can be called by binding its namespace to
a prefix and using the prefixed form: "library:if(foo)" instead of
"if(foo)".
Constraint:
occurrence-indicators
As written, the grammar in
A XPath 3.0
Grammar
is ambiguous for some forms using the '+' and '*'
Kleene operators. The ambiguity is resolved as follows: these
operators are tightly bound to the
SequenceType
expression, and have
higher precedence than other uses of these symbols. Any occurrence
of '+' and '*', as well as '?', following a sequence type is
assumed to be an occurrence indicator, which binds to the last
ItemType
in the
SequenceType
.
Thus,
4 treat as item() + - 5
must be interpreted
as
(4 treat as item()+) - 5
, taking the '+' as an
OccurrenceIndicator and the '-' as a subtraction operator. To force
the interpretation of "+" as an addition operator (and the
corresponding interpretation of the "-" as a unary minus),
parentheses may be used: the form
(4 treat as item()) +
-5
surrounds the
SequenceType
expression with
parentheses and leads to the desired interpretation.
function () as xs:string *
is interpreted as
function () as (xs:string *)
, not as
(function
() as xs:string) *
. Parentheses can be used as shown to
force the latter interpretation.
This rule has as a consequence that certain forms which would
otherwise be syntactically valid and unambiguous are not
recognized: in "4 treat as item() + 5", the "+" is taken as an
OccurrenceIndicator
,
and not as an operator, which means this is not a syntactically
valid expression.
A.1.3
Grammar Notes
This section contains general notes on the EBNF productions,
which may be helpful in understanding how to interpret and
implement the EBNF. These notes are not normative. The notes below
are referenced from the right side of the production, with the
notation:
/* gn: <id> */
.
Note:
grammar-note: parens
Look-ahead is required to distinguish
FunctionCall
from a EQName or
keyword followed by a
Comment
.
For example:
address (: this may be empty :)
may be
mistaken for a call to a function named "address" unless this
lookahead is employed. Another example is
for (: whom the
bell :) $tolls in 3 return $tolls
, where the keyword "for"
must not be mistaken for a function name.
grammar-note: comments
Comments are allowed everywhere that
ignorable
whitespace
is allowed, and the
Comment
symbol does not explicitly
appear on the right-hand side of the grammar (except in its own
production). See
A.2.4.1
Default Whitespace Handling
.
A comment can contain nested comments, as long as all "(:" and
":)" patterns are balanced, no matter where they occur within the
outer comment.
Note:
Lexical analysis may typically handle nested comments by
incrementing a counter for each "(:" pattern, and decrementing the
counter for each ":)" pattern. The comment does not terminate until
the counter is back to zero.
Some illustrative examples:
(: commenting out a (: comment :) may be confusing, but
often helpful :)
is a syntactically valid Comment, since
balanced nesting of comments is allowed.
"this is just a string :)"
is a syntactically valid
expression. However,
(: "this is just a string :)" :)
will cause a syntax error. Likewise,
"this is another string
(:"
is a syntactically valid expression, but
(: "this
is another string (:" :)
will cause a syntax error. It is a
limitation of nested comments that literal content can cause
unbalanced nesting of comments.
for (: set up loop :) $i in $x return $i
is
syntactically valid, ignoring the comment.
5 instance (: strange place for a comment :) of
xs:integer
is also syntactically valid.
Lexical structure
The terminal symbols assumed by the grammar above are described
in this section.
Quoted strings appearing in production rules are terminal
symbols.
Other terminal symbols are defined in
A.2.1 Terminal Symbols
.
Some productions are defined by reference to the XML and XML
Names specifications (e.g.
[XML 1.0]
and
[XML Names]
, or
[XML
1.1]
and
[XML Names 1.1]
.
A host language may choose
which version
of these specifications is used; it is recommended that the latest
applicable version be used (even if it is published later than this
specification).
When tokenizing, the longest possible match that is
consistent with the EBNF
is used.
All keywords are case sensitive. Keywords are not reserved—that
is, any
lexical QName
may duplicate a keyword except as noted in
A.3 Reserved Function Names
.
A.2.1
Terminal Symbols
The following symbols are used only in the definition of
terminal symbols; they are not terminal symbols in the grammar of
A.1 EBNF
.
A.2.2 Terminal Delimitation
XPath 3.0 expressions consist of
terminal symbols
and
symbol
separators
.
Terminal symbols that are not used exclusively in
/* ws: explicit */
productions are of two kinds:
delimiting and non-delimiting.
[
Definition
: The
delimiting
terminal symbols
are: "!", "!=",
StringLiteral
, "#", "$", "(",
")", "*", "+", (comma), "-", (dot), "..", "/", "//", (colon), "::",
":=", "<", "<<", "<=", "=", ">", ">=",
">>", "?", "@",
BracedURILiteral
, "[", "]",
"{", "|", "||", "}" ]
[
Definition
: The
non-delimiting terminal symbols
are:
IntegerLiteral
,
URIQualifiedName
,
NCName
,
DecimalLiteral
,
DoubleLiteral
,
QName
, "ancestor", "ancestor-or-self",
"and", "as", "attribute", "cast", "castable", "child", "comment",
"descendant", "descendant-or-self", "div", "document-node",
"element", "else", "empty-sequence", "eq", "every", "except",
"following", "following-sibling", "for", "function", "ge", "gt",
"idiv", "if", "in", "instance", "intersect", "is", "item", "le",
"let", "lt", "mod", "namespace", "namespace-node", "ne", "node",
"of", "or", "parent", "preceding", "preceding-sibling",
"processing-instruction", "return", "satisfies",
"schema-attribute", "schema-element", "self", "some", "text",
"then", "to", "treat", "union" ]
[
Definition
:
Whitespace
and
Comments
function as
symbol
separators
. For the most part, they are not mentioned in the
grammar, and may occur between any two terminal symbols mentioned
in the grammar, except where that is forbidden by the
/* ws: explicit */
annotation in the EBNF, or by
the
/* xgc: xml-version */
annotation.]
It is customary to separate consecutive terminal symbols by
whitespace
and
Comments
, but this is required
only when otherwise two non-delimiting symbols would be adjacent to
each other. There are two exceptions to this, that of "." and "-",
which do require a
symbol separator
if they follow a QName or
NCName. Also, "." requires a separator if it precedes or follows a
numeric literal.
A.2.3
End-of-Line Handling
The host language must specify whether the XPath
3.0 processor normalizes all line breaks on input, before parsing,
and if it does so, whether it uses the rules of
[XML
1.0]
or
[XML 1.1]
.
A.2.3.1 XML 1.0 End-of-Line
Handling
For
[XML 1.0]
processing, all of the
following must be translated to a single #xA character:
the two-character sequence #xD #xA
any #xD character that is not immediately followed by #xA.
Handling
For
[XML 1.1]
processing, all of the
following must be translated to a single #xA character:
the two-character sequence #xD #xA
the two-character sequence #xD #x85
the single character #x85
the single character #x2028
any #xD character that is not immediately followed by #xA or
#x85.
Handling
[
Definition
: A
whitespace
character is any
of the characters defined by
[http://www.w3.org/TR/REC-xml/#NT-S]
.]
[
Definition
:
Ignorable whitespace
consists of any
whitespace
characters that may occur between
terminals
, unless these
characters occur in the context of a production marked with a
ws:explicit
annotation,
in which case they can occur only where explicitly specified (see
A.2.4.2 Explicit
Whitespace Handling
).] Ignorable whitespace characters are
not significant to the semantics of an expression. Whitespace is
allowed before the first terminal and after the last terminal
of an XPath
. Whitespace is allowed
between any two
terminals
.
Comments
may also act as
"whitespace" to prevent two adjacent terminals from being
recognized as one. Some illustrative examples are as follows:
foo- foo
results in a syntax error. "foo-" would be
recognized as a QName.
foo -foo
is syntactically equivalent to
foo -
foo
, two QNames separated by a subtraction operator.
foo(: This is a comment :)- foo
is syntactically
equivalent to
foo - foo
. This is because the comment
prevents the two adjacent terminals from being recognized as
foo-foo
is syntactically equivalent to single
QName. This is because "-" is a valid character in a QName. When
used as an operator after the characters of a name, the "-" must be
separated from the name, e.g. by using whitespace or
parentheses.
10div 3
results in a syntax error.
10 div3
also results in a syntax error.
10div3
also results in a syntax error.
A.2.4.2 Explicit Whitespace
Handling
Explicit whitespace notation is specified with the EBNF
productions, when it is different from the default rules, using the
notation shown below. This notation is not inherited. In other
words, if an EBNF rule is marked as /* ws: explicit */, the
notation does not automatically apply to all the 'child' EBNF
productions of that rule.
explicit
/* ws: explicit */ means that the EBNF notation explicitly
notates, with
S
or otherwise, where
whitespace characters
are
allowed. In productions with the /* ws: explicit */ annotation,
A.2.4.1 Default Whitespace
Handling
does not apply.
Comments
are also not allowed in these
productions.
A.3 Reserved Function Names
The following names are not allowed as function names in an
unprefixed form because expression syntax takes precedence.
attribute
comment
document-node
element
empty-sequence
function
namespace-node
processing-instruction
schema-attribute
schema-element
switch
typeswitch
Note:
Although the keywords
switch
and
typeswitch
are not used in XPath, they are considered
reserved function names for compatibility with XQuery.
Precedence Order (Non-Normative)
The grammar in
A.1 EBNF
normatively defines built-in precedence among the operators of
XQuery. These operators are summarized here to make clear the order
of their precedence from lowest to highest. The associativity
column indicates the order in which operators of equal precedence
in an expression are applied.
Operator
Associativity
, (comma)
either
for
,
let
,
some, every
,
if
either
either
eq, ne, lt, le, gt, ge
,
=, !=, <, <=, >,
>=
,
is, <<,
left-to-right
+, - (binary)
left-to-right
*, div, idiv,
left-to-right
union, |
either
intersect,
except
left-to-right
instance of
treat as
castable as
cast as
-, + (unary)
right-to-left
left-to-right
/, //
left-to-right
left-to-right
In the "Associativity" column, "either" indicates that all the
operators at that level have the associative property (i.e.,
(A op B) op C
is equivalent to
A op (B op
C)
), so their associativity is inconsequential. "NA" (not
applicable) indicates that the EBNF does not allow an expression
that directly contains multiple operators from that precedence
level, so the question of their associativity does not arise.
Note:
Parentheses can be used to override the operator precedence in
the usual way. Square brackets in an expression such as A[B] serve
two roles: they act as an operator causing B to be evaluated once
for each item in the value of A, and they act as parentheses
enclosing the expression B.
B.1 Type Promotion
[
Definition
: Under certain circumstances, an
atomic value can be promoted from one type to another.
Type
promotion
is used in evaluating function calls (see
3.1.5.1 Evaluating Static and Dynamic
Function Calls
) and operators that accept numeric or
string operands (see
B.2 Operator
Mapping
).] The following type promotions are permitted:
Numeric type promotion:
A value of type
xs:float
(or any type derived by
restriction from
xs:float
) can be promoted to the type
xs:double
. The result is the
xs:double
value that is the same as the original value.
A value of type
xs:decimal
(or any type derived by
restriction from
xs:decimal
) can be promoted to either
of the types
xs:float
or
xs:double
. The
result of this promotion is created by casting the original value
to the required type. This kind of promotion may cause loss of
precision.
URI type promotion: A value of type
xs:anyURI
(or
any type derived by restriction from
xs:anyURI
) can be
promoted to the type
xs:string
. The result of this
promotion is created by casting the original value to the type
xs:string
.
Note:
Since
xs:anyURI
values can be promoted to
xs:string
, functions and operators that compare
strings using the
default collation
also compare
xs:anyURI
values using the
default collation
.
This ensures that orderings that include strings,
xs:anyURI
values, or any combination of the two types
are consistent and well-defined.
Note that
type promotion
is different from
subtype
substitution
. For example:
A function that expects a parameter
$p
of type
xs:float
can be invoked with a value of type
xs:decimal
. This is an example of
type promotion
. The
value is actually converted to the expected type. Within the body
of the function,
$p instance of xs:decimal
returns
false
.
A function that expects a parameter
$p
of type
xs:decimal
can be invoked with a value of type
xs:integer
. This is an example of
subtype
substitution
. The value retains its original type. Within the
body of the function,
$p instance of xs:integer
returns
true
.
B.2 Operator Mapping
The operator mapping tables in this section list the
combinations of types for which the various operators of XPath 3.0
are defined. [
Definition
:
For each operator and valid combination of operand types, the
operator mapping tables specify a result type and an
operator
function
that implements the semantics of the operator for the
given types.] The definitions of the operator functions are given
in
[XQuery and XPath Functions and
Operators 3.0]
. The result of an operator may be the raising of
an error by its operator function, as defined in
[XQuery and XPath Functions and Operators
3.0]
. In some cases, the operator function does not implement
the full semantics of a given operator. For the definition of each
operator (including its behavior for empty sequences or sequences
of length greater than one), see the descriptive material in the
main part of this document.
The
and
and
or
operators are defined
directly in the main body of this document, and do not occur in the
operator mapping tables.
If an operator in the operator mapping tables expects an operand
of type
ET
, that operator can be applied to an operand of
type
AT
if type
AT
can be converted to type
ET
by a combination of
type promotion
and
subtype
substitution
. For example, a table entry indicates that the
gt
operator may be applied to two
xs:date
operands, returning
xs:boolean
. Therefore, the
gt
operator may also be applied to two (possibly
different) subtypes of
xs:date
, also returning
xs:boolean
.
[
Definition
: When referring to a type, the term
numeric
denotes the types
xs:integer
,
xs:decimal
,
xs:float
, and
xs:double
.] An operator whose operands and result are
designated as
numeric
might be thought of as representing four operators, one for each of
the numeric types. For example, the numeric
+
operator
might be thought of as representing the following four
operators:
Operator
First operand type
Second operand type
Result type
xs:integer
xs:integer
xs:integer
xs:decimal
xs:decimal
xs:decimal
xs:float
xs:float
xs:float
xs:double
xs:double
xs:double
A numeric operator may be validly applied to an operand of type
AT
if type
AT
can be converted to any of the four
numeric types by a combination of
type promotion
and
subtype
substitution
. If the result type of an operator is listed as
numeric, it means "the first type in the ordered list
(xs:integer, xs:decimal, xs:float, xs:double)
into
which all operands can be converted by
subtype
substitution
and
type promotion
." As an example, suppose
that the type
hatsize
is derived from
xs:integer
and the type
shoesize
is
derived from
xs:float
. Then if the
+
operator is invoked with operands of type
hatsize
and
shoesize
, it returns a result of type
xs:float
. Similarly, if
+
is invoked with
two operands of type
hatsize
it returns a result of
type
xs:integer
.
[
Definition
: In the operator mapping tables, the
term
Gregorian
refers to the types
xs:gYearMonth
,
xs:gYear
,
xs:gMonthDay
,
xs:gDay
, and
xs:gMonth
.] For binary operators that accept two
Gregorian-type operands, both operands must have the same type (for
example, if one operand is of type
xs:gDay
, the other
operand must be of type
xs:gDay
.)
Binary Operators
Operator
Type(A)
Type(B)
Function
Result type
A + B
numeric
numeric
op:numeric-add(A, B)
numeric
A + B
xs:date
xs:yearMonthDuration
op:add-yearMonthDuration-to-date(A, B)
xs:date
A + B
xs:yearMonthDuration
xs:date
op:add-yearMonthDuration-to-date(B, A)
xs:date
A + B
xs:date
xs:dayTimeDuration
op:add-dayTimeDuration-to-date(A, B)
xs:date
A + B
xs:dayTimeDuration
xs:date
op:add-dayTimeDuration-to-date(B, A)
xs:date
A + B
xs:time
xs:dayTimeDuration
op:add-dayTimeDuration-to-time(A, B)
xs:time
A + B
xs:dayTimeDuration
xs:time
op:add-dayTimeDuration-to-time(B, A)
xs:time
A + B
xs:dateTime
xs:yearMonthDuration
op:add-yearMonthDuration-to-dateTime(A, B)
xs:dateTime
A + B
xs:yearMonthDuration
xs:dateTime
op:add-yearMonthDuration-to-dateTime(B, A)
xs:dateTime
A + B
xs:dateTime
xs:dayTimeDuration
op:add-dayTimeDuration-to-dateTime(A, B)
xs:dateTime
A + B
xs:dayTimeDuration
xs:dateTime
op:add-dayTimeDuration-to-dateTime(B, A)
xs:dateTime
A + B
xs:yearMonthDuration
xs:yearMonthDuration
op:add-yearMonthDurations(A, B)
xs:yearMonthDuration
A + B
xs:dayTimeDuration
xs:dayTimeDuration
op:add-dayTimeDurations(A, B)
xs:dayTimeDuration
A - B
numeric
numeric
op:numeric-subtract(A, B)
numeric
A - B
xs:date
xs:date
op:subtract-dates(A, B)
xs:dayTimeDuration
A - B
xs:date
xs:yearMonthDuration
op:subtract-yearMonthDuration-from-date(A, B)
xs:date
A - B
xs:date
xs:dayTimeDuration
op:subtract-dayTimeDuration-from-date(A, B)
xs:date
A - B
xs:time
xs:time
op:subtract-times(A, B)
xs:dayTimeDuration
A - B
xs:time
xs:dayTimeDuration
op:subtract-dayTimeDuration-from-time(A, B)
xs:time
A - B
xs:dateTime
xs:dateTime
op:subtract-dateTimes(A, B)
xs:dayTimeDuration
A - B
xs:dateTime
xs:yearMonthDuration
op:subtract-yearMonthDuration-from-dateTime(A, B)
xs:dateTime
A - B
xs:dateTime
xs:dayTimeDuration
op:subtract-dayTimeDuration-from-dateTime(A, B)
xs:dateTime
A - B
xs:yearMonthDuration
xs:yearMonthDuration
op:subtract-yearMonthDurations(A, B)
xs:yearMonthDuration
A - B
xs:dayTimeDuration
xs:dayTimeDuration
op:subtract-dayTimeDurations(A, B)
xs:dayTimeDuration
A * B
numeric
numeric
op:numeric-multiply(A, B)
numeric
A * B
xs:yearMonthDuration
numeric
op:multiply-yearMonthDuration(A, B)
xs:yearMonthDuration
A * B
numeric
xs:yearMonthDuration
op:multiply-yearMonthDuration(B, A)
xs:yearMonthDuration
A * B
xs:dayTimeDuration
numeric
op:multiply-dayTimeDuration(A, B)
xs:dayTimeDuration
A * B
numeric
xs:dayTimeDuration
op:multiply-dayTimeDuration(B, A)
xs:dayTimeDuration
A idiv B
numeric
numeric
op:numeric-integer-divide(A, B)
xs:integer
A div B
numeric
numeric
op:numeric-divide(A, B)
numeric; but xs:decimal if both operands are xs:integer
A div B
xs:yearMonthDuration
numeric
op:divide-yearMonthDuration(A, B)
xs:yearMonthDuration
A div B
xs:dayTimeDuration
numeric
op:divide-dayTimeDuration(A, B)
xs:dayTimeDuration
A div B
xs:yearMonthDuration
xs:yearMonthDuration
op:divide-yearMonthDuration-by-yearMonthDuration (A, B)
xs:decimal
A div B
xs:dayTimeDuration
xs:dayTimeDuration
op:divide-dayTimeDuration-by-dayTimeDuration (A, B)
xs:decimal
A mod B
numeric
numeric
op:numeric-mod(A, B)
numeric
A eq B
numeric
numeric
op:numeric-equal(A, B)
xs:boolean
A eq B
xs:boolean
xs:boolean
op:boolean-equal(A, B)
xs:boolean
A eq B
xs:string
xs:string
op:numeric-equal(fn:compare(A, B), 0)
xs:boolean
A eq B
xs:date
xs:date
op:date-equal(A, B)
xs:boolean
A eq B
xs:time
xs:time
op:time-equal(A, B)
xs:boolean
A eq B
xs:dateTime
xs:dateTime
op:dateTime-equal(A, B)
xs:boolean
A eq B
xs:duration
xs:duration
op:duration-equal(A, B)
xs:boolean
A eq B
Gregorian
Gregorian
op:gYear-equal(A, B) etc.
xs:boolean
A eq B
xs:hexBinary
xs:hexBinary
op:hexBinary-equal(A, B)
xs:boolean
A eq B
xs:base64Binary
xs:base64Binary
op:base64Binary-equal(A, B)
xs:boolean
A eq B
xs:anyURI
xs:anyURI
op:numeric-equal(fn:compare(A, B), 0)
xs:boolean
A eq B
xs:QName
xs:QName
op:QName-equal(A, B)
xs:boolean
A eq B
xs:NOTATION
xs:NOTATION
op:NOTATION-equal(A, B)
xs:boolean
A ne B
numeric
numeric
fn:not(op:numeric-equal(A, B))
xs:boolean
A ne B
xs:boolean
xs:boolean
fn:not(op:boolean-equal(A, B))
xs:boolean
A ne B
xs:string
xs:string
fn:not(op:numeric-equal(fn:compare(A, B), 0))
xs:boolean
A ne B
xs:date
xs:date
fn:not(op:date-equal(A, B))
xs:boolean
A ne B
xs:time
xs:time
fn:not(op:time-equal(A, B))
xs:boolean
A ne B
xs:dateTime
xs:dateTime
fn:not(op:dateTime-equal(A, B))
xs:boolean
A ne B
xs:duration
xs:duration
fn:not(op:duration-equal(A, B))
xs:boolean
A ne B
Gregorian
Gregorian
fn:not(op:gYear-equal(A, B)) etc.
xs:boolean
A ne B
xs:hexBinary
xs:hexBinary
fn:not(op:hexBinary-equal(A, B))
xs:boolean
A ne B
xs:base64Binary
xs:base64Binary
fn:not(op:base64Binary-equal(A, B))
xs:boolean
A ne B
xs:anyURI
xs:anyURI
fn:not(op:numeric-equal(fn:compare(A, B), 0))
xs:boolean
A ne B
xs:QName
xs:QName
fn:not(op:QName-equal(A, B))
xs:boolean
A ne B
xs:NOTATION
xs:NOTATION
fn:not(op:NOTATION-equal(A, B))
xs:boolean
A gt B
numeric
numeric
op:numeric-greater-than(A, B)
xs:boolean
A gt B
xs:boolean
xs:boolean
op:boolean-greater-than(A, B)
xs:boolean
A gt B
xs:string
xs:string
op:numeric-greater-than(fn:compare(A, B), 0)
xs:boolean
A gt B
xs:date
xs:date
op:date-greater-than(A, B)
xs:boolean
A gt B
xs:time
xs:time
op:time-greater-than(A, B)
xs:boolean
A gt B
xs:dateTime
xs:dateTime
op:dateTime-greater-than(A, B)
xs:boolean
A gt B
xs:yearMonthDuration
xs:yearMonthDuration
op:yearMonthDuration-greater-than(A, B)
xs:boolean
A gt B
xs:dayTimeDuration
xs:dayTimeDuration
op:dayTimeDuration-greater-than(A, B)
xs:boolean
A gt B
xs:anyURI
xs:anyURI
op:numeric-greater-than(fn:compare(A, B), 0)
xs:boolean
A lt B
numeric
numeric
op:numeric-less-than(A, B)
xs:boolean
A lt B
xs:boolean
xs:boolean
op:boolean-less-than(A, B)
xs:boolean
A lt B
xs:string
xs:string
op:numeric-less-than(fn:compare(A, B), 0)
xs:boolean
A lt B
xs:date
xs:date
op:date-less-than(A, B)
xs:boolean
A lt B
xs:time
xs:time
op:time-less-than(A, B)
xs:boolean
A lt B
xs:dateTime
xs:dateTime
op:dateTime-less-than(A, B)
xs:boolean
A lt B
xs:yearMonthDuration
xs:yearMonthDuration
op:yearMonthDuration-less-than(A, B)
xs:boolean
A lt B
xs:dayTimeDuration
xs:dayTimeDuration
op:dayTimeDuration-less-than(A, B)
xs:boolean
A lt B
xs:anyURI
xs:anyURI
op:numeric-less-than(fn:compare(A, B), 0)
xs:boolean
A ge B
numeric
numeric
op:numeric-greater-than(A, B) or op:numeric-equal(A, B)
xs:boolean
A ge B
xs:boolean
xs:boolean
fn:not(op:boolean-less-than(A, B))
xs:boolean
A ge B
xs:string
xs:string
op:numeric-greater-than(fn:compare(A, B), -1)
xs:boolean
A ge B
xs:date
xs:date
fn:not(op:date-less-than(A, B))
xs:boolean
A ge B
xs:time
xs:time
fn:not(op:time-less-than(A, B))
xs:boolean
A ge B
xs:dateTime
xs:dateTime
fn:not(op:dateTime-less-than(A, B))
xs:boolean
A ge B
xs:yearMonthDuration
xs:yearMonthDuration
fn:not(op:yearMonthDuration-less-than(A, B))
xs:boolean
A ge B
xs:dayTimeDuration
xs:dayTimeDuration
fn:not(op:dayTimeDuration-less-than(A, B))
xs:boolean
A ge B
xs:anyURI
xs:anyURI
op:numeric-greater-than(fn:compare(A, B), -1)
xs:boolean
A le B
numeric
numeric
op:numeric-less-than(A, B) or op:numeric-equal(A, B)
xs:boolean
A le B
xs:boolean
xs:boolean
fn:not(op:boolean-greater-than(A, B))
xs:boolean
A le B
xs:string
xs:string
op:numeric-less-than(fn:compare(A, B), 1)
xs:boolean
A le B
xs:date
xs:date
fn:not(op:date-greater-than(A, B))
xs:boolean
A le B
xs:time
xs:time
fn:not(op:time-greater-than(A, B))
xs:boolean
A le B
xs:dateTime
xs:dateTime
fn:not(op:dateTime-greater-than(A, B))
xs:boolean
A le B
xs:yearMonthDuration
xs:yearMonthDuration
fn:not(op:yearMonthDuration-greater-than(A, B))
xs:boolean
A le B
xs:dayTimeDuration
xs:dayTimeDuration
fn:not(op:dayTimeDuration-greater-than(A, B))
xs:boolean
A le B
xs:anyURI
xs:anyURI
op:numeric-less-than(fn:compare(A, B), 1)
xs:boolean
A is B
node()
node()
op:is-same-node(A, B)
xs:boolean
node()
node()
op:node-before(A, B)
xs:boolean
node()
node()
op:node-after(A, B)
xs:boolean
A union B
node()*
node()*
op:union(A, B)
node()*
A | B
node()*
node()*
op:union(A, B)
node()*
A intersect B
node()*
node()*
op:intersect(A, B)
node()*
A except B
node()*
node()*
op:except(A, B)
node()*
A to B
xs:integer
xs:integer
op:to(A, B)
xs:integer*
A , B
item()*
item()*
op:concatenate(A, B)
item()*
A || B
xs:anyAtomicType
xs:anyAtomicType
fn:concat(A, B)
xs:string
C Context Components
The tables in this section describe the scope (range of
applicability) of the various components in
a module's
static context and dynamic context.
C.1 Static Context
Components
The following table describes the components of the
static
context
. For each component, "global" indicates that the value
of the component applies throughout an XPath expression, whereas
"lexical" indicates that the value of the component applies only
within the subexpression in which it is defined.
Static Context Components
Component
Scope
XPath 1.0 Compatibility Mode
global
Statically known namespaces
global
Default element/type namespace
global
Default function namespace
global
In-scope schema types
global
In-scope element declarations
global
In-scope attribute declarations
global
In-scope variables
lexical; for-expressions, let-expressions, and quantified
expressions can bind new variables
Context item static type
lexical
Statically known
function signatures
global
Statically known collations
global
Default collation
global
Base URI
global
Statically known documents
global
Statically known collections
global
Statically known default collection type
global
C.2 Dynamic Context
Components
The following table describes how values are assigned to the
various components of the
dynamic context
. All these
components are initialized by mechanisms defined by the host
language. For each component, "global" indicates that the value of
the component remains constant throughout evaluation of the XPath
expression, whereas "dynamic" indicates that the value of the
component can be modified by the evaluation of subexpressions.
Dynamic Context Components
Component
Scope
Context item
dynamic; changes during evaluation of path expressions and
predicates
Context position
dynamic; changes during evaluation of path expressions and
predicates
Context size
dynamic; changes during evaluation of path expressions and
predicates
Variable values
dynamic; for-expressions, let-expressions, and quantified
expressions can bind new variables
Current date and time
global; must be initialized
Implicit timezone
global; must be initialized
Available documents
global; must be initialized
Available node collections
global; must be initialized
Default node collection
global; overwriteable by implementation
Available resource collections
global; must be initialized
Default resource collection
global; overwriteable by implementation
D Implementation-Defined Items
The following items in this specification are
implementation-defined
:
The version of Unicode that is used to construct
expressions.
The
statically-known collations
.
The
implicit
timezone
.
The circumstances in which
warnings
are raised, and the ways in which
warnings are handled.
The method by which errors are reported to the external
processing environment.
Which version of XML and XML Names (e.g.
[XML
1.0]
and
[XML Names]
or
[XML 1.1]
and
[XML Names
1.1]
) and which version of XML Schema (e.g.
[XML Schema 1.0]
or
[XML
Schema 1.1]
) is used for the definitions of primitives such as
characters and names, and for the definitions of operations such as
normalization of line endings and normalization of whitespace in
attribute values. It is recommended that the latest applicable
version be used (even if it is published later than this
specification).
How XDM instances are created from sources other than an Infoset
or PSVI.
Whether the implementation supports the namespace axis.
Whether the type system is based on
[XML
Schema 1.0]
or
[XML Schema 1.1]
. An
implementation that has based its type system on XML Schema 1.0 is
not required to support the use of the xs:dateTimeStamp constructor
or the use of xs:dateTimeStamp as TypeName in any expression.
The signatures of functions provided by the implementation or
via an implementation-defined API (see
2.1.1 Static Context
).
Any
environment variables
provided by
the implementation.
Any rules used for static typing (see
2.2.3.1 Static Analysis
Phase
).
Any serialization parameters provided by the implementationn
What error, if any, is returned if an external function's
implementation does not return the declared result type (see
2.2.4 Consistency
Constraints
).
Note:
Additional
implementation-defined
items are
listed in
[XQuery and XPath Data
Model (XDM) 3.0]
and
[XQuery and
XPath Functions and Operators 3.0]
.
References
E.1 Normative References
S. Bradner.
Key Words for use in RFCs to Indicate
Requirement Levels.
IETF RFC 2119. See
http://www.ietf.org/rfc/rfc2119.txt
.
RFC3986
T. Berners-Lee, R. Fielding, and L. Masinter.
Uniform
Resource Identifiers (URI): Generic Syntax
. IETF RFC 3986. See
http://www.ietf.org/rfc/rfc3986.txt
.
RFC3987
M. Duerst and M. Suignard.
Internationalized Resource
Identifiers (IRIs)
. IETF RFC 3987. See
http://www.ietf.org/rfc/rfc3987.txt
.
ISO/IEC 10646
ISO (International Organization for Standardization).
ISO/IEC 10646:2003. Information technology—Universal
Multiple-Octet Coded Character Set (UCS)
, as, from time to
time, amended, replaced by a new edition, or expanded by the
addition of new parts. [Geneva]: International Organization for
Standardization. (See
http://www.iso.org
for the latest
version.)
Unicode
The Unicode Consortium.
The Unicode Standard
Reading,
Mass.: Addison-Wesley, 2003, as updated from time to time by the
publication of new versions. See
http://www.unicode.org/standard/versions/
for the latest version and additional information on versions of
the standard and of the Unicode Character Database. The version of
Unicode to be used is
implementation-defined
, but
implementations are recommended to use the latest Unicode
version.
World Wide Web Consortium.
Extensible Markup Language
(XML) 1.0.
W3C Recommendation. See
http://www.w3.org/TR/REC-xml/
.
The edition of XML 1.0 must be no earlier than the Third Edition;
the edition used is
implementation-defined
, but we
recommend that implementations use the latest version.
World Wide Web Consortium.
Extensible Markup Language
(XML) 1.1.
W3C Recommendation. See
http://www.w3.org/TR/xml11/
World Wide Web Consortium.
XML Base.
W3C
Recommendation. See
http://www.w3.org/TR/xmlbase/
Names
World Wide Web Consortium.
Namespaces in XML.
W3C
Recommendation. See
http://www.w3.org/TR/REC-xml-names/
XML Names 1.1
World Wide Web Consortium.
Namespaces in XML 1.1.
W3C
Recommendation. See
http://www.w3.org/TR/xml-names11/
World Wide Web Consortium.
xml:id Version 1.0.
W3C
Recommendation. See
http://www.w3.org/TR/xml-id/
XML Schema 1.0
World Wide Web Consortium.
XML Schema, Parts 0, 1, and 2
(Second Edition)
. W3C Recommendation, 28 October 2004. See
http://www.w3.org/TR/xmlschema-0/
,
http://www.w3.org/TR/xmlschema-1/
,
and
http://www.w3.org/TR/xmlschema-2/
.
XML Schema 1.1
World Wide Web Consortium.
XML Schema, Parts 1, and
2
. W3C Recommendation 5 April 2012. See
http://www.w3.org/TR/xmlschema11-1/
,
and
http://www.w3.org/TR/xmlschema11-2/
.
XQuery and XPath Data Model (XDM)
XQuery and XPath
Data Model (XDM) 3.0
, Norman Walsh, Anders Berglund,
John Snelson, Editors. World Wide Web Consortium, 08 April 2014.
This version is
http://www.w3.org/TR/2014/REC-xpath-datamodel-30-20140408/. The
latest
version
is available at
http://www.w3.org/TR/xpath-datamodel-30/.
XQuery and XPath Functions and Operators
XQuery and XPath
Functions and Operators 3.0
, Michael Kay, Editor. World
Wide Web Consortium, 08 April 2014. This version is
http://www.w3.org/TR/2014/REC-xpath-functions-30-20140408/. The
latest
version
is available at
http://www.w3.org/TR/xpath-functions-30/.
XSLT and XQuery Serialization
XSLT and
XQuery Serialization 3.0
, Henry Zongaro, Andrew Coleman,
Michael Sperberg-McQueen, Editors. World Wide Web Consortium, 08
April 2014. This version is
http://www.w3.org/TR/2014/REC-xslt-xquery-serialization-30-20140408/.
The
latest
version
is available at
http://www.w3.org/TR/xslt-xquery-serialization-30/.
XQuery 3.0: An XML Query
Language
, Jonathan Robie, Don Chamberlin, Michael Dyck,
John Snelson, Editors. World Wide Web Consortium, 08 April 2014.
This version is http://www.w3.org/TR/2014/REC-xquery-30-20140408/.
The
latest version
is
available at http://www.w3.org/TR/xquery-30/.
XQuery 1.0 and XPath 2.0 Formal
Semantics
XQuery
1.0 and XPath 2.0 Formal Semantics (Second Edition)
,
Jérôme Siméon, Denise Draper, Peter Frankhauser,
et. al.
,
Editors. World Wide Web Consortium, 14 December 2010. This version
is http://www.w3.org/TR/2010/REC-xquery-semantics-20101214/. The
latest version
is available at http://www.w3.org/TR/xquery-semantics/.
Transformations (XSLT) Version 3.0
Transformations (XSLT) Version 3.0, Michael Kay, Editor.
World Wide Web Consortium, 12 December 2013. This version is
http://www.w3.org/TR/2013/WD-xslt-30-20131212/. The
latest version
is available at
http://www.w3.org/TR/xslt-30/.
Document Object
Model
World Wide Web Consortium.
Document Object Model (DOM)
Level 3 Core Specification.
W3C Recommendation, April 7, 2004.
See
http://www.w3.org/TR/DOM-Level-3-Core/
.
Infoset
World Wide Web Consortium.
XML Information Set.
W3C
Recommendation 24 October 2001. See
http://www.w3.org/TR/xml-infoset/
XML Path
Language (XPath) Version 1.0
XML Path Language
(XPath) Version 1.0
, James Clark and Steven DeRose,
Editors. World Wide Web Consortium, 16 Nov 1999. This
version is http://www.w3.org/TR/1999/REC-xpath-19991116. The
latest version
is
available at http://www.w3.org/TR/xpath.
XML Path
Language (XPath) Version 2.0
XML Path
Language (XPath) 2.0 (Second Edition)
, Don Chamberlin,
Anders Berglund, Scott Boag,
et. al.
, Editors. World Wide
Web Consortium, 14 December 2010. This version is
http://www.w3.org/TR/2010/REC-xpath20-20101214/. The
latest version
is available at
http://www.w3.org/TR/xpath20/.
XPointer
World Wide Web Consortium.
XML Pointer Language
(XPointer).
W3C Last Call Working Draft 8 January 2001. See
http://www.w3.org/TR/WD-xptr
World Wide Web Consortium.
Character Model for the World
Wide Web.
W3C Working Draft. See
http://www.w3.org/TR/charmod/
.
Transformations (XSLT) Version 1.0
XSL Transformations
(XSLT) Version 1.0
, James Clark, Editor. World Wide Web
Consortium, 16 Nov 1999. This version is
http://www.w3.org/TR/1999/REC-xslt-19991116. The
latest version
is available at
http://www.w3.org/TR/xslt.
Conformance
XPath is intended primarily as a component that can be used by
other specifications. Therefore, XPath relies on specifications
that use it (such as
[XPointer]
and
[XSL Transformations (XSLT) Version 3.0]
) to specify
conformance criteria for XPath in their respective environments.
Specifications that set conformance criteria for their use of XPath
must not change the syntactic or semantic definitions of XPath as
given in this specification, except by subsetting and/or compatible
extensions.
The specification of such a language may describe it as an
extension of XPath provided that every expression that conforms to
the XPath grammar behaves as described in this specification.
F.1 Static Typing Feature
[
Definition
: The
Static Typing
Feature
is an optional feature of XPath that provides support
for static semantics, and requires implementations to detect and
report
type errors
during the
static analysis phase
.] Specifications
that use XPath may specify conformance criteria for use of the
Static Typing Feature.
If an implementation does not support the
Static Typing Feature
, but
can nevertheless determine during the static analysis phase that
an XPath expression
, if evaluated, would
necessarily raise a
dynamic error
or that an expression, if
evaluated, would necessarily raise a
type error
, the implementation may raise that
error during the static analysis phase. The choice of whether to
raise such an error at analysis time is
implementation dependent
.
G Error Conditions
err:XPST0001
It is a
static
error
if analysis of an expression relies on some component of
the
static
context
that
is
absent
DM30
err:XPDY0002
It is a
dynamic error
if evaluation of an
expression relies on some part of the
dynamic context
that
is
absent
DM30
err:XPST0003
It is a
static
error
if an expression is not a valid instance of the grammar
defined in
A.1 EBNF
.
err:XPTY0004
It is a
type
error
if, during the
static analysis phase
, an expression is
found to have a
static type
that is not appropriate for the
context in which the expression occurs, or during the
dynamic
evaluation phase
, the
dynamic type
of a value does not match a
required type as specified by the matching rules in
2.5.5 SequenceType
Matching
.
err:XPST0005
During the analysis phase, it is a
static error
if the
static type
assigned to an expression
other than the expression
()
or
data(())
is
empty-sequence()
.
err:XPST0008
It is a
static
error
if an expression refers to an element name, attribute
name, schema type name, namespace prefix, or variable name that is
not defined in the
static context
, except for an ElementName
in an
ElementTest
or an
AttributeName in an
AttributeTest
.
err:XPST0010
An implementation that does not support the namespace axis must
raise a
static
error
if it encounters a reference to the namespace axis and
XPath 1.0 compatibility mode is false.
err:XPST0017
It is a
static
error
if the
expanded QName
and number of arguments in
a
static
function call do not match the name and arity
of a
function signature
in the
static context
.
err:XPTY0018
It is a
type
error
if the result of a path operator contains both nodes and
non-nodes.
err:XPTY0019
It is a
type
error
if
E1
in a path expression
E1/E2
does not evaluate to a sequence of nodes.
err:XPTY0020
It is a
type
error
if, in an axis step, the context item is not a node.
err:XQST0039
It is a
static
error
for
an inline function expression
to have
more than one parameter with the same name.
err:XQST0046
An implementation
MAY
raise a
static error
if
the value of a
BracedURILiteral
is of nonzero
length and is
neither an absolute URI nor a relative
URI
.
err:XPDY0050
It is a
dynamic error
if the
dynamic type
of the
operand of a
treat
expression does not match the
sequence type
specified by the
treat
expression. This error might
also be raised by a path expression beginning with "
/
"
or "
//
" if the context node is not in a tree that is
rooted at a document node. This is because a leading
"
/
" or "
//
" in a path expression is an
abbreviation for an initial step that includes the clause
treat as document-node()
.
err:XPST0051
It is a
static
error
if the
expanded QName
for an
AtomicOrUnionType
in a
SequenceType
is not defined
in the
in-scope
schema types
as a
generalized atomic type
.
err:XQST0052
The type must be the name of a type defined in the
in-scope schema
types
, and the
{variety}
of the type must be
simple
.
err:XQST0070
A
static
error
is raised if one of the predefined prefixes
xml
or
xmlns
appears in a namespace
declaration
or a default namespace declaration,
or if
any of the following conditions is statically detected in any
expression or declaration:
The prefix
xml
is bound to some namespace URI other
than
http://www.w3.org/XML/1998/namespace
.
A prefix other than
xml
is bound to the namespace
URI
http://www.w3.org/XML/1998/namespace
.
The prefix
xmlns
is bound to any namespace URI.
A prefix other than
xmlns
is bound to the namespace
URI
http://www.w3.org/2000/xmlns/
.
err:XPST0080
It is a
static
error
if the target type of a
cast
or
castable
expression is
xs:NOTATION
xs:anySimpleType
,
or
xs:anyAtomicType
.
err:XPST0081
It is a
static
error
if a QName used in
an
expression
contains a namespace prefix that cannot be
expanded into a namespace URI by using the
statically known namespaces
.
err:XPTY0117
In a cast expression, if an item is of type
xs:untypedAtomic
and the expected type is
namespace-sensitive
, a
type error
[
err:XPTY0117
] is
raised.
err:XPDY0130
An implementation-defined limit has been exceeded.
err:XPST0133
It is a
static
error
[
err:XPST0133
] if the namespace URI for an EQName
is
http://www.w3.org/2000/xmlns/
.
err:XQST0134
XQuery 3.0 does not support the namespace axis.
In the operator mapping tables, the term
Gregorian
refers
to the types
xs:gYearMonth
,
xs:gYear
,
xs:gMonthDay
,
xs:gDay
, and
xs:gMonth
.
NaN
specifies the string used for the NaN-symbol, which
is used to represent the value NaN (not-a-number); the default
value is the string "NaN"
SequenceType matching
SequenceType matching
compares the
dynamic type
of a value
with an expected
sequence type
.
Static Base URI
Static Base URI.
This is an absolute URI, used to resolve
relative URI references.
Within this specification, the term
URI
refers to a
Universal Resource Identifier as defined in
[RFC3986]
and extended in
[RFC3987]
with the new name
IRI
.
XDM instance
The term
XDM instance
is used, synonymously with the term
value
, to denote an
unconstrained
sequence
of
items
in the
data model
.
XPath 1.0 Processor
An
XPath 1.0 Processor
processes a query according to the
XPath 1.0 specification.
XPath 1.0 compatibility mode
XPath 1.0 compatibility mode.
This
value is
true
if rules for backward compatibility with
XPath Version 1.0 are in effect; otherwise it is
false
.
XPath 2.0 Processor
An
XPath 2.0 Processor
processes a query according to the
XPath 2.0 specification.
XPath 3.0 Processor
An
XPath 3.0 Processor
processes a query according to the
XPath 3.0 specification.
argument
expression
An argument to a function call is either an
argument
expression
or an ArgumentPlaceholder ("?").
argument
value
Argument
expressions
are evaluated
with respect to
DC
, producing
argument values
.
arity
The number of
Argument
s in an
ArgumentList
is its
arity
.
atomic
value
An
atomic value
is a value in the value space of an
atomic type
, as defined in
[XML
Schema 1.0]
or
[XML Schema 1.1]
.
atomization
Atomization
of a sequence is defined as the result of
invoking the
fn:data
function on the sequence, as
defined in
[XQuery and XPath
Functions and Operators 3.0]
.
available documents
Available documents.
This is a mapping of strings to
document nodes. Each string represents the absolute URI of a
resource. The document node is the root of a tree that represents
that resource using the
data model
. The document node is returned by
the
fn:doc
function when applied to that URI.
available node collections
Available node collections.
This is a mapping of strings
to sequences of nodes. Each string represents the absolute URI of a
resource. The sequence of nodes represents the result of the
fn:collection
function when that URI is supplied as
the argument.
available resource
collections
Available resource collections.
This is a mapping of
strings to sequences of URIs. The string represents the absolute
URI of a resource which can be interpreted as an aggregation of a
number of individual resources each of which has its own URI. The
sequence of URIs represents the result of the
fn:uri-collection
function when that URI is supplied
as the argument.
available text resources
Available text resources
. This is a mapping of strings to
text resources. Each string represents the absolute URI of a
resource. The resource is returned by the
fn:unparsed-text
function when applied to that
axis step
An
axis step
returns a sequence of nodes that are
reachable from the context node via a specified axis. Such a step
has two parts: an
axis
, which defines the "direction of
movement" for the step, and a
node test
, which selects nodes based on their
kind, name, and/or
type annotation
.
built-in function
The
built-in functions
supported by XPath 3.0 are defined
in
[XQuery and XPath Functions and
Operators 3.0]
.
collation
A
collation
is a specification of the manner in which
strings and URIs are compared and, by extension, ordered. For a
more complete definition of collation, see
[XQuery and XPath Functions and Operators
3.0]
.
comma operator
One way to construct a sequence is by using the
comma
operator
, which evaluates each of its operands and concatenates
the resulting sequences, in order, into a single result
sequence.
constructor function
The
constructor function
for a given type is used to
convert instances of other atomic types into the given type. The
semantics of the constructor function call
T($arg)
are
defined to be equivalent to the expression
(($arg) cast as
T?)
.
context
The
context item
is the
item
currently being processed.
context item static type
Context item static type.
This component defines the
static type
of
the context item within the scope of a given expression.
context
When the context item is a node, it can also be referred to as
the
context node
.
context position
The
context position
is the position of the context item
within the sequence of items currently being processed.
context
The
context size
is the number of items in the sequence
of items currently being processed.
current
dateTime
Current dateTime.
This information represents an
implementation-dependent
point
in time during the processing of
an
expression
, and includes an explicit timezone. It can be
retrieved by the
fn:current-dateTime
function. If
invoked multiple times during the execution of
an expression
, this function always returns the same
result.
model
XPath 3.0 operates on the abstract, logical structure of an XML
document, rather than its surface syntax. This logical structure,
known as the
data model
, is defined in
[XQuery and XPath Data Model (XDM)
3.0]
.
decimal-separator
decimal-separator
specifies the character used for the
decimal-separator-symbol; the default value is the period character
default calendar
Default calendar.
This is the calendar used when
formatting dates in human-readable output (for example, by the
functions
fn:format-date
and
fn:format-dateTime
) if no other calendar is requested.
The value is a string.
default collation
Default collation.
This identifies one of the collations
in
statically known collations
as the
collation to be used by functions and operators for comparing and
ordering values of type
xs:string
and
xs:anyURI
(and types derived from them) when no
explicit collation is specified.
default element/type namespace
Default element/type namespace.
This is a namespace URI
or
absent
DM30
.
The namespace URI, if present, is used for any unprefixed QName
appearing in a position where an element or type name is
expected.
default
function namespace
Default function namespace.
This is a namespace URI or
absent
DM30
.
The namespace URI, if present, is used for any unprefixed QName
appearing in a position where a function name is expected.
default language
Default language.
This is the natural language used when
creating human-readable output (for example, by the functions
fn:format-date
and
fn:format-integer
) if
no other language is requested. The value is a language code as
defined by the type
xs:language
.
default node collection
Default node collection.
This is the sequence of nodes
that would result from calling the
fn:collection
function with no arguments.
default place
Default place.
This is a geographical location used to
identify the place where events happened (or will happen) when
formatting dates and times using functions such as
fn:format-date
and
fn:format-dateTime
, if
no other place is specified. It is used when translating timezone
offsets to civil timezone names, and when using calendars where the
translation from ISO dates/times to a local representation is
dependent on geographical location. Possible representations of
this information are an ISO country code or an Olson timezone name,
but implementations are free to use other representations from
which the above information can be derived.
default resource
collection
Default resource collection.
This is the sequence of URIs
that would result from calling the
fn:uri-collection
function with no arguments.
delimiting terminal symbol
The
delimiting terminal symbols
are: "!", "!=",
StringLiteral
, "#", "$", "(",
")", "*", "+", (comma), "-", (dot), "..", "/", "//", (colon), "::",
":=", "<", "<<", "<=", "=", ">", ">=",
">>", "?", "@",
BracedURILiteral
, "[", "]",
"{", "|", "||", "}"
digit-sign
digit-sign
specifies the character used for the
digit-sign in the picture string; the default value is the number
sign character (#)
document order
Informally,
document order
is the order in which nodes
appear in the XML serialization of a document.
dynamic context
The
dynamic context
of an expression is defined as
information that is available at the time the expression is
evaluated.
dynamic error
A
dynamic error
is an error that must be detected during
the dynamic evaluation phase and may be detected during the static
analysis phase. Numeric overflow is an example of a dynamic
error.
dynamic evaluation phase
The
dynamic evaluation phase
is the phase during which
the value of an expression is computed.
dynamic function call
A
dynamic function
call
consists of a
base expression
that returns the function and a
parenthesized list of zero or more arguments (
argument expressions
or ArgumentPlaceholders).
dynamic
A
dynamic type
is associated with each value as it is
computed. The dynamic type of a value may be more specific than the
static type
of
the expression that computed it (for example, the static type of an
expression might be
xs:integer*
, denoting a sequence
of zero or more integers, but at evaluation time its value may have
the dynamic type
xs:integer
, denoting exactly one
integer.)
effective boolean
value
The
effective boolean value
of a value is defined as the
result of applying the
fn:boolean
function to the
value, as defined in
[XQuery and
XPath Functions and Operators 3.0]
.
empty sequence
A sequence containing zero items is called an
empty
sequence
.
environment variables
Environment variables.
This is a
mapping from names
to values.
Both the names and the values are strings. The
names are compared using an
implementation-defined
collation,
and are unique under this collation. The set of environment
variables is
implementation-defined
and
may
be empty.
error
value
In addition to its identifying QName, a dynamic error may also
carry a descriptive string and one or more additional values called
error values
.
expanded QName
An
expanded QName
consists of an optional namespace URI
and a local name. An expanded QName also retains its original
namespace prefix (if any), to facilitate casting the expanded QName
into a string.
expression context
The
expression context
for a given expression consists of
all the information that can affect the result of the
expression.
filter expression
An expression followed by a predicate (that is,
E1[E2]
) is referred to as a
filter expression
:
its effect is to return those items from the value of
E1
that satisfy the predicate in E2.
fixed position
In a partial function application, a
fixed position
is an
argument/parameter position for which the
ArgumentList
has an argument expression (as opposed to an
ArgumentPlaceholder
).
focus
The first three components of the
dynamic context
(context item,
context position, and context size) are called the
focus
of
the expression.
function coercion
Function coercion
wraps a
function
DM30
in a new function with signature the same as the expected type.
This effectively delays the checking of the argument and return
types until the function is invoked.
function conversion rules
The
function conversion rules
are used to convert an
argument value to its expected type; that is, to the declared type
of the function
parameter.
generalized atomic type
A
generalized atomic type
is a type which is either (a)
an atomic type or (b) a
pure union type
grouping-separator
grouping-separator
specifies the character used for the
grouping-separator-symbol, which is typically used as a thousands
separator; the default value is the comma character (,)
ignorable whitespace
Ignorable whitespace
consists of any
whitespace
characters that may
occur between
terminals
,
unless these characters occur in the context of a production marked
with a
ws:explicit
annotation, in which case they can occur only where explicitly
specified (see
A.2.4.2
Explicit Whitespace Handling
).
implementation dependent
Implementation-dependent
indicates an aspect that may
differ between implementations, is not specified by this or any W3C
specification, and is not required to be specified by the
implementor for any particular implementation.
implementation defined
Implementation-defined
indicates an aspect that may
differ between implementations, but must be specified by the
implementor for each particular implementation.
implicit
timezone
Implicit timezone.
This is the timezone to be used when a
date, time, or dateTime value that does not have a timezone is used
in a comparison or arithmetic operation. The implicit timezone is
an
implementation-defined
value of
type
xs:dayTimeDuration
. See
[XML Schema 1.0]
or
[XML
Schema 1.1]
for the range of valid values of a timezone.
in-scope
attribute declarations
In-scope attribute declarations.
Each attribute
declaration is identified either by an
expanded QName
(for a top-level
attribute declaration) or by an
implementation-dependent
attribute identifier (for a local attribute declaration).
in-scope element
declarations
In-scope element declarations.
Each element declaration
is identified either by an
expanded QName
(for a top-level element
declaration) or by an
implementation-dependent
element
identifier (for a local element declaration).
in-scope namespaces
The
in-scope namespaces
property of an element node is a
set of namespace bindings, each of which associates a namespace
prefix with a URI.
in-scope schema
definitions
In-scope schema definitions.
This is a generic term for
all the element declarations, attribute declarations, and schema
type definitions that are in scope during
static
analysis
of an expression.
in-scope schema
In-scope schema types.
Each schema type definition is
identified either by an
expanded QName
(for a
named type
)
or by an
implementation-dependent
type
identifier (for an
anonymous type
). The in-scope schema
types include the predefined schema types described in
2.5.1 Predefined Schema
Types
.
in-scope variables
In-scope variables.
This is a
mapping from
expanded
QName
to type.
It defines the set of variables that are
available for reference within an expression. The
expanded QName
is
the name of the variable, and the type is the
static type
of the
variable.
infinity
infinity
specifies the string used for the
infinity-symbol; the default value is the string "Infinity"
initial context item
The
initial context item
is a context item that an
implementation can set before processing a query begins. The query
body and the prolog of every module in a query share the same
initial context item.
inline
function expression
An
inline function expression
creates an anonymous
function
DM30
defined directly in the inline function expression itself.
An
item
is either an
atomic value
, a
node
, or a
function
DM30
.
kind test
An alternative form of a node test called a
kind test
can
select nodes based on their kind, name, and
type
annotation
.
lexical QName
A
lexical QName
is a name that conforms to the syntax of
[http://www.w3.org/TR/REC-xml-names/#NT-QName]
.
literal
A
literal
is a direct syntactic representation of an
atomic value.
minus-sign
minus-sign
specifies the character used for the
minus-sign-symbol; the default value is the hyphen-minus character
(-, #x2D). The value must be a single character.
name test
A node test that consists only of an EQName or a Wildcard is
called a
name test
.
named
function
A
named function
is a function defined in the static
context for the
expression
. To uniquely
identify a particular named function, both its name as an
expanded
QName and its arity are required.
named function reference
A
named function reference
denotes
a
named function
.
named functions
Named functions
. This is a mapping from (expanded QName,
arity) to
function
DM30
.
namespace-sensitive
The
namespace-sensitive
types are
xs:QName
,
xs:NOTATION
, types derived by restriction from
xs:QName
or
xs:NOTATION
, list types that
have a namespace-sensitive item type, and union types with a
namespace-sensitive type in their transitive membership.
A
node
is an instance of one of the
node kinds
defined in
[XQuery and XPath Data
Model (XDM) 3.0]
.
node test
A
node test
is a condition on the name, kind (element,
attribute, text, document, comment, or processing instruction),
and/or
type
annotation
of a node. A node test determines which nodes
contained by an axis are selected by a
step
.
non-delimiting terminal symbol
The
non-delimiting terminal symbols
are:
IntegerLiteral
,
URIQualifiedName
,
NCName
,
DecimalLiteral
,
DoubleLiteral
,
QName
, "ancestor", "ancestor-or-self",
"and", "as", "attribute", "cast", "castable", "child", "comment",
"descendant", "descendant-or-self", "div", "document-node",
"element", "else", "empty-sequence", "eq", "every", "except",
"following", "following-sibling", "for", "function", "ge", "gt",
"idiv", "if", "in", "instance", "intersect", "is", "item", "le",
"let", "lt", "mod", "namespace", "namespace-node", "ne", "node",
"of", "or", "parent", "preceding", "preceding-sibling",
"processing-instruction", "return", "satisfies",
"schema-attribute", "schema-element", "self", "some", "text",
"then", "to", "treat", "union"
numeric
When referring to a type, the term
numeric
denotes the
types
xs:integer
,
xs:decimal
,
xs:float
, and
xs:double
.
numeric predicate
A predicate whose predicate expression returns a numeric type is
called a
numeric predicate
.
operator function
For each operator and valid combination of operand types, the
operator mapping tables specify a result type and an
operator
function
that implements the semantics of the operator for the
given types.
partial function
application
A
static or
dynamic
function call
is a
partial function application
if one or more arguments
is an ArgumentPlaceholder.
path expression
A
path expression
can be used to locate nodes within
trees. A path expression consists of a series of one or more
steps
, separated by
"
/
" or "
//
", and optionally beginning
with "
/
" or "
//
".
pattern-separator-sign
pattern-separator
specifies the character used for the
pattern-separator-symbol, which separates positive and negative
sub-pictures in a picture string; the default value is the
semi-colon character (;)
per-mille-sign
per-mille
specifies the character used for the
per-mille-symbol; the default value is the Unicode per-mille
character (#x2030)
percent-sign
percent
specifies the character used for the
percent-symbol; the default value is the percent character (%)
primary expression
Primary expressions
are the basic primitives of the
language. They include literals, variable references, context item
expressions, and function calls. A primary expression may also be
created by enclosing any expression in parentheses, which is
sometimes helpful in controlling the precedence of operators.
principal node kind
Every axis has a
principal node kind
. If an axis can
contain elements, then the principal node kind is element;
otherwise, it is the kind of nodes that the axis can contain.
pure union type
A
pure union type
is an XML Schema union type that
satisfies the following constraints: (1)
{variety}
is
union
, (2) the
{facets}
property is
empty, (3) no type in the transitive membership of the union type
has
{variety}
list
, and (4) no type in
the transitive membership of the union type is a type with
{variety}
union
having a non-empty
{facets}
property
resolve
To
resolve a relative URI
$rel
against a
base URI
$base
is to expand it to an absolute URI, as
if by calling the function
fn:resolve-uri($rel,
$base)
.
reverse document order
The node ordering that is the reverse of document order is
called
reverse document order
.
schema
A
schema type
is a type that is (or could be) defined
using the facilities of
[XML Schema 1.0]
or
[XML Schema 1.1]
(including the
built-in types of
[XML Schema 1.0]
or
[XML Schema 1.1]
).
sequence
A
sequence
is an ordered collection of zero or more
items
.
sequence type
A
sequence type
is a type that can be expressed using the
SequenceType
syntax.
Sequence types are used whenever it is necessary to refer to a type
in an XPath 3.0 expression. The term
sequence type
suggests
that this syntax is used to describe the type of an XPath 3.0
value, which is always a sequence.
singleton
A sequence containing exactly one item is called a
singleton
.
singleton focus
A
singleton focus
is a focus that refers to a single
item; in a singleton focus, context item is set to the item,
context position = 1 and context size = 1.
stable
Document order is
stable
, which means that the relative
order of two nodes will not change during the processing of a given
expression
, even if this order is
implementation-dependent
.
static analysis phase
The
static analysis phase
depends on the expression
itself and on the
static context
. The
static analysis
phase
does not depend on input data (other than schemas).
static context
The
static context
of an expression is the information
that is available during static analysis of the expression, prior
to its evaluation.
static
error
An error that
can
be detected during the static
analysis phase
, and is not a type error,
is a
static error
.
static function call
A
static
function call
consists of an EQName
followed by a parenthesized list of zero or more arguments.
static
The
static type
of an expression is the best inference
that the processor is able to make statically about the type of the
result of the expression.
static typing feature
The
Static Typing Feature
is an optional feature of XPath
that provides support for static semantics, and requires
implementations to detect and report
type errors
during the
static analysis
phase
.
statically known decimal
formats
Statically known decimal formats.
This is
a mapping
from QName to decimal format, with one default format that has no
visible name.
Each format is used for serializing decimal
numbers using
fn:format-number()
.
statically known collections
Statically known collections.
This is a mapping from
strings to types. The string represents the absolute URI of a
resource that is potentially available using the
fn:collection
function. The type is the type of the
sequence of nodes that would result from calling the
fn:collection
function with this URI as its
argument.
statically
known documents
Statically known documents.
This is a mapping from
strings to types. The string represents the absolute URI of a
resource that is potentially available using the
fn:doc
function. The type is the
static type
of a call to
fn:doc
with the given URI as its literal argument.
statically known collations
Statically known collations.
This is an
implementation-defined
mapping from URI to collation.
It defines the names of
the collations that are available for use in processing
expressions.
statically known default
collection type
Statically known default collection type.
This is the
type of the sequence of nodes that would result from calling the
fn:collection
function with no arguments.
statically known function
signatures
Statically known function signatures.
This is a mapping
from (expanded QName, arity) to
function
signature
DM30
.
statically known namespaces
Statically known namespaces.
This is a
mapping from
prefix to namespace URI that defines
all the namespaces that
are known during static processing of a given expression.
A
step
is a part of a
path expression
that generates a sequence
of items and then filters the sequence by zero or more
predicates
. The value of the step consists
of those items that satisfy the predicates, working from left to
right. A step may be either an
axis step
or a postfix expression.
string
value
The
string value
of a node is a string and can be
extracted by applying the
fn:string
function to the
node.
substitution group
Substitution groups
are defined in
[XML Schema 1.0]
and
[XML
Schema 1.1]
Part 1. Informally, the substitution group headed
by a given element (called the
head element
) consists of the
set of elements that can be substituted for the head element
without affecting the outcome of schema validation.
subtype
A
sequence
type
A
is a
subtype
of a sequence type
B
if the judgement
subtype(A, B)
is
true.
subtype substitution
The use of a value whose
dynamic type
is derived from an expected
type is known as
subtype substitution
.
symbol
Each rule in the grammar defines one
symbol
, using the
following format:
symbol ::= expression
symbol
separators
Whitespace
and
Comments
function as
symbol
separators
. For the most part, they are not mentioned in the
grammar, and may occur between any two terminal symbols mentioned
in the grammar, except where that is forbidden by the
/* ws: explicit */
annotation in the EBNF, or by
the
/* xgc: xml-version */
annotation.
terminal
A
terminal
is a symbol or string or pattern that can
appear in the right-hand side of a rule, but never appears on the
left-hand side in the main grammar, although it may appear on the
left-hand side of a rule in the grammar for terminals.
type annotation
Each element node and attribute node in an
XDM instance
has
a
type annotation
(
described
in
[XQuery and XPath Data Model (XDM) 3.0]
.
) The type annotation of a node is a
reference to an XML
Schema type.
error
A
type error
may be raised during the static analysis
phase or the dynamic evaluation phase. During the static analysis
phase, a
type error
occurs when the
static type
of an expression does not match
the expected type of the context in which the expression occurs.
During the dynamic evaluation phase, a
type error
occurs when the
dynamic type
of a value
does not match the expected type of the context in which the value
occurs.
promotion
Under certain circumstances, an atomic value can be promoted
from one type to another.
Type promotion
is used in
evaluating function calls (see
3.1.5.1 Evaluating Static and Dynamic
Function Calls
) and operators that accept numeric or
string operands (see
B.2 Operator
Mapping
).
typed
value
The
typed value
of a node is a sequence of atomic values
and can be extracted by applying the
fn:data
function
to the node.
value
In the
data
model
, a
value
is always a
sequence
.
variable reference
A
variable reference
is an EQName preceded by a
$-sign.
variable values
Variable values
. This is a
mapping from
expanded QName
to
value.
It contains the same
expanded QNames
as the
in-scope
variables
in the
static context
for the expression. The
expanded
QName
is the name of the variable and the value is the dynamic
value of the variable, which includes its
dynamic type
.
warning
In addition to
static errors
,
dynamic errors
, and
type errors
, an XPath 3.0
implementation may raise
warnings
, either during the
static
analysis phase
or the
dynamic evaluation phase
. The
circumstances in which warnings are raised, and the ways in which
warnings are handled, are
implementation-defined
.
whitespace
A
whitespace
character is any of the characters defined
by
[http://www.w3.org/TR/REC-xml/#NT-S]
.
xs:anyAtomicType
xs:anyAtomicType
is an atomic type that includes
all atomic values (and no values that are not atomic). Its base
type is
xs:anySimpleType
from which all simple types,
including atomic, list, and union types, are derived. All primitive
atomic types, such as
xs:decimal
and
xs:string
, have
xs:anyAtomicType
as their
base type.
xs:dayTimeDuration
xs:dayTimeDuration
is derived by restriction from
xs:duration
. The lexical representation of
xs:dayTimeDuration
is restricted to contain only day,
hour, minute, and second components.
xs:error
xs:error
is a simple type with no value space,
defined in
[XML Schema 1.1]
. In
implementations that support XML Schema 1.1, it can be used in the
2.5.4 SequenceType
Syntax
to raise errors.
xs:untyped
xs:untyped
is used as the
type annotation
of
an element node that has not been validated, or has been validated
in
skip
mode.
xs:untypedAtomic
xs:untypedAtomic
is an atomic type that is used to
denote untyped atomic data, such as text that has not been assigned
a more specific type.
xs:yearMonthDuration
xs:yearMonthDuration
is derived by restriction from
xs:duration
. The lexical representation of
xs:yearMonthDuration
is restricted to contain only
year and month components.
zero-digit
zero-digit
specifies the character used for the
zero-digit-symbol; the default value is the digit zero (0). This
character must be a digit (category Nd in the Unicode property
database), and it must have the numeric value zero. This attribute
implicitly defines the Unicode character that is used to represent
each of the values 0 to 9 in the final result string: Unicode is
organized so that each set of decimal digits forms a contiguous
block of characters in numerical sequence.
I Backwards Compatibility with
XPath 1.0 (Non-Normative)
This appendix provides a summary of the areas of incompatibility
between XPath 3.0 and
[XML Path Language (XPath)
Version 1.0]
. In each of these cases, an XPath 3.0 processor is
compatible with an XPath 2.0 processor.
Three separate cases are considered:
Incompatibilities that exist when source documents have no
schema, and when running with XPath 1.0 compatibility mode set to
true. This specification has been designed to reduce the number of
incompatibilities in this situation to an absolute minimum, but
some differences remain and are listed individually.
Incompatibilities that arise when XPath 1.0 compatibility mode
is set to false. In this case, the number of expressions where
compatibility is lost is rather greater.
Incompatibilities that arise when the source document is
processed using a schema (whether or not XPath 1.0 compatibility
mode is set to true). Processing the document with a schema changes
the way that the values of nodes are interpreted, and this can
cause an XPath expression to return different results.
I.1 Incompatibilities when
Compatibility Mode is true
The list below contains all known areas, within the scope of
this specification, where an XPath 3.0 processor running with
compatibility mode set to true will produce different results from
an XPath 1.0 processor evaluating the same expression, assuming
that the expression was valid in XPath 1.0, and that the nodes in
the source document have no type annotations other than
xs:untyped
and
xs:untypedAtomic
.
Incompatibilities in the behavior of individual functions are
not listed here, but are included in an appendix of
[XQuery and XPath Functions and Operators
3.0]
.
Since both XPath 1.0 and XPath 3.0 leave some aspects of the
specification implementation-defined, there may be
incompatibilities in the behavior of a particular implementation
that are outside the scope of this specification. Equally, some
aspects of the behavior of XPath are defined by the host
language.
Consecutive comparison operators such as
A < B <
C
were supported in XPath 1.0, but are not permitted by the
XPath 3.0 grammar. In most cases such comparisons in XPath 1.0 did
not have the intuitive meaning, so it is unlikely that they have
been widely used in practice. If such a construct is found, an
XPath 3.0 processor will report a syntax error, and the construct
can be rewritten as
(A < B) < C
When converting strings to numbers (either explicitly when using
the
number
function, or implicitly say on a function
call), certain strings that converted to the special value
NaN
under XPath 1.0 will convert to values other than
NaN
under XPath 3.0. These include any number written
with a leading
+
sign, any number in exponential
floating point notation (for example
1.0e+9
), and the
strings
INF
and
-INF
.
Furthermore, the strings
Infinity
and
-Infinity
, which were accepted by XPath 1.0 as
representations of the floating-point values positive and negative
infinity, are no longer recognized. They are converted to
NaN
when running under XPath 3.0 with compatibility
mode set to true, and cause a dynamic error when compatibility mode
is set to false.
XPath 3.0 does not allow a token starting with a letter to
follow immediately after a numeric literal, without intervening
whitespace. For example,
10div 3
was permitted in
XPath 1.0, but in XPath 3.0 must be written as
10 div
The namespace axis is deprecated
as of
XPath 2.0.
Implementations may support the namespace axis for backward
compatibility with XPath 1.0, but they are not required to do so.
(XSLT 2.0 requires that if XPath backwards compatibility mode is
supported, then the namespace axis must also be supported; but
other host languages may define the conformance rules
differently.)
In XPath 1.0, the expression
-x|y
parsed as
-(x|y)
, and returned the negation of the numeric value
of the first node in the union of
x
and
y
. In XPath 3.0, this expression parses as
(-x)|y
. When XPath 1.0 Compatibility Mode is true,
this will always cause a type error.
The rules for converting numbers to strings have changed. These
may affect the way numbers are displayed in the output of a
stylesheet. For numbers whose absolute value is in the range
1E-6
to
1E+6
, the result should be the
same, but outside this range, scientific format is used for
non-integral
xs:float
and
xs:double
values.
If one operand in a general comparison is a single atomic value
of type
xs:boolean
, the other operand is converted to
xs:boolean
when XPath 1.0 compatibility mode is set to
true. In XPath 1.0, if neither operand of a comparison operation
using the <, <=, > or >= operator was a node set, both
operands were converted to numbers. The result of the expression
true() > number('0.5')
is therefore true in XPath
1.0, but is false in XPath 3.0 even when compatibility mode is set
to true.
In XPath 3.0, a type error is raised if the PITarget specified
in a SequenceType of form
processing-instruction(PITarget)
is not a valid
NCName. In XPath 1.0, this condition was not treated as an
error.
I.2 Incompatibilities when
Compatibility Mode is false
Even when the setting of the XPath 1.0 compatibility mode is
false, many XPath expressions will still produce the same results
under XPath 3.0 as under XPath 1.0. The exceptions are described in
this section.
In all cases it is assumed that the expression in question was
valid under XPath 1.0, that XPath 1.0 compatibility mode is false,
and that all elements and attributes are annotated with the types
xs:untyped
and
xs:untypedAtomic
respectively.
In the description below, the terms
node-set
and
number
are used with their XPath 1.0 meanings, that is, to
describe expressions which according to the rules of XPath 1.0
would have generated a node-set or a number respectively.
When a node-set containing more than one node is supplied as an
argument to a function or operator that expects a single node or
value, the XPath 1.0 rule was that all nodes after the first were
discarded. Under XPath 3.0, a type error occurs if there is more
than one node. The XPath 1.0 behavior can always be restored by
using the predicate
[1]
to explicitly select the first
node in the node-set.
In XPath 1.0, the
<
and
>
operators, when applied to two strings, attempted to convert both
the strings to numbers and then made a numeric comparison between
the results. In XPath 3.0, these operators perform a string
comparison using the default collating sequence. (If either value
is numeric, however, the results are compatible with XPath 1.0)
When an empty node-set is supplied as an argument to a function
or operator that expects a number, the value is no longer converted
implicitly to NaN. The XPath 1.0 behavior can always be restored by
using the
number
function to perform an explicit
conversion.
More generally, the supplied arguments to a function or operator
are no longer implicitly converted to the required type, except in
the case where the supplied argument is of type
xs:untypedAtomic
(which will commonly be the case when
a node in a schemaless document is supplied as the argument). For
example, the function call
substring-before(10 div 3,
".")
raises a type error under XPath 3.0, because the
arguments to the
substring-before
function must be
strings rather than numbers. The XPath 1.0 behavior can be restored
by performing an explicit conversion to the required type using a
constructor function or cast.
The rules for comparing a node-set to a boolean have changed. In
XPath 1.0, an expression such as
$node-set = true()
was evaluated by converting the node-set to a boolean and then
performing a boolean comparison: so this expression would return
true
if
$node-set
was non-empty. In XPath
3.0, this expression is handled in the same way as other
comparisons between a sequence and a singleton: it is
true
if
$node-set
contains at least one
node whose value, after atomization and conversion to a boolean
using the casting rules, is
true
.
This means that if
$node-set
is empty, the result
under XPath 3.0 will be
false
regardless of the value
of the boolean operand, and regardless of which operator is used.
If
$node-set
is non-empty, then in most cases the
comparison with a boolean is likely to fail, giving a dynamic
error. But if a node has the value "0", "1", "true", or "false",
evaluation of the expression may succeed.
Comparisons of a number to a boolean, a number to a string, or a
string to a boolean are not allowed in XPath 3.0: they result in a
type error. In XPath 1.0 such comparisons were allowed, and were
handled by converting one of the operands to the type of the other.
So for example in XPath 1.0
4 = true()
was true;
4 = "+4"
was false (because the string
+4
converts to
NaN
), and
false = "false"
was
false (because the string
"false"
converts to the
boolean
true
). In XPath 3.0 all these comparisons are
type errors.
Additional numeric types have been introduced, with the effect
that arithmetic may now be done as an integer, decimal, or single-
or double-precision floating point calculation where previously it
was always performed as double-precision floating point. The result
of the
div
operator when dividing two integers is now
a value of type decimal rather than double. The expression
10
div 0
raises an error rather than returning positive
infinity.
The rules for converting strings to numbers have changed. The
implicit conversion that occurs when passing an
xs:untypedAtomic
value as an argument to a function
that expects a number no longer converts unrecognized strings to
the value
NaN
; instead, it reports a dynamic error.
This is in addition to the differences that apply when backwards
compatibility mode is set to true.
Many operations in XPath 3.0 produce an empty sequence as their
result when one of the arguments or operands is an empty sequence.
Where the operation expects a string, an empty sequence is usually
considered equivalent to a zero-length string, which is compatible
with the XPath 1.0 behavior. Where the operation expects a number,
however, the result is not the same. For example, if
@width
returns an empty sequence, then in XPath 1.0
the result of
@width+1
was
NaN
, while
with XPath 3.0 it is
()
. This has the effect that a
filter expression such as
item[@width+1 != 2]
will
select items having no
width
attribute under XPath
1.0, and will not select them under XPath 3.0.
The typed value of a comment node, processing instruction node,
or namespace node under XPath 3.0 is of type
xs:string
, not
xs:untypedAtomic
. This
means that no implicit conversions are applied if the value is used
in a context where a number is expected. If a
processing-instruction node is used as an operand of an arithmetic
operator, for example, XPath 1.0 would attempt to convert the
string value of the node to a number (and deliver
NaN
if unsuccessful), while XPath 3.0 will report a type error.
In XPath 1.0, it was defined that with an expression of the form
A and B
, B would not be evaluated if A was false.
Similarly in the case of
A or B
, B would not be
evaluated if A was true. This is no longer guaranteed with XPath
3.0: the implementation is free to evaluate the two operands in
either order or in parallel. This change has been made to give more
scope for optimization in situations where XPath expressions are
evaluated against large data collections supported by indexes.
Implementations may choose to retain backwards compatibility in
this area, but they are not obliged to do so.
In XPath 1.0, the expression
-x|y
parsed as
-(x|y)
, and returned the negation of the numeric value
of the first node in the union of
x
and
y
. In XPath 3.0, this expression parses as
(-x)|y
. When XPath 1.0 Compatibility Mode is false,
this will cause a type error, except in the situation where
x
evaluates to an empty sequence. In that situation,
XPath 3.0 will return the value of
y
, whereas XPath
1.0 returned the negation of the numeric value of
I.3 Incompatibilities when
using a Schema
An XPath expression applied to a document that has been
processed against a schema will not always give the same results as
the same expression applied to the same document in the absence of
a schema. Since schema processing had no effect on the result of an
XPath 1.0 expression, this may give rise to further
incompatibilities. This section gives a few examples of the
differences that can arise.
Suppose that the context node is an element node derived from
the following markup:
<background color="red green
blue"/>
. In XPath 1.0, the predicate
[@color="blue"]
would return
false
. In
XPath 3.0, if the
color
attribute is defined in a
schema to be of type
xs:NMTOKENS
, the same predicate
will return
true
.
Similarly, consider the expression
@birth <
@death
applied to the element
<person
birth="1901-06-06" death="1991-05-09"/>
. With XPath 1.0,
this expression would return false, because both attributes are
converted to numbers, which returns
NaN
in each case.
With XPath 3.0, in the presence of a schema that annotates these
attributes as dates, the expression returns
true
.
Once schema validation is applied, elements and attributes
cannot be used as operands and arguments of expressions that expect
a different data type. For example, it is no longer possible to
apply the
substring
function to a date to extract the
year component, or to a number to extract the integer part.
Similarly, if an attribute is annotated as a boolean then it is not
possible to compare it with the strings
"true"
or
"false"
. All such operations lead to type errors. The
remedy when such errors occur is to introduce an explicit
conversion, or to do the computation in a different way. For
example,
substring-after(@temperature, "-")
might be
rewritten as
abs(@temperature)
.
In the case of an XPath 3.0 implementation that provides the
static typing feature, many further type errors will be reported in
respect of expressions that worked under XPath 1.0. For example, an
expression such as
round(../@price)
might lead to a
static type error because the processor cannot infer statically
that
../@price
is guaranteed to be numeric.
Schema validation will in many cases perform whitespace
normalization on the contents of elements (depending on their
type). This will change the result of operations such as the
string-length
function.
Schema validation augments the data model by adding default
values for omitted attributes and empty elements.
J Change Log
(Non-Normative)
This appendix lists the changes that have been
made to this specification since the
first
publication
of XPath 2.0 Recommendation.
J.1 Incompatibilities
The following names are now reserved, and cannot appear as
function names (see
A.3 Reserved
Function Names
):
function
namespace-node
switch
Code written for XQuery 1.0 processors may assume that every
item is either a node or an atomic value. This is no longer true,
since XQuery 3.0 introduces function items. Thus, an XQuery 1.0
function that declares a parameter as an
item()
can
now have a function item passed as a parameter, which might not
have been anticipated by the author of the function.
J.2 Changes introduced during the
Proposed Recommendation period:
J.2.1 Substantive
Changes
No substantive changes were made during the Proposed
Recommendation period.
J.2.2 Editorial Changes
Added FunctionBody to list of productions in description of
Inline Functions. Resolves
Bug
24199
.
Added entry to
J.1
Incompatibilities
to indicate that
function
,
namespace-node
, and
switch
are all
reserved. Resolves
Bug
20902
.
Added entry to
J.1
Incompatibilities
to indicate that function items violate
the XQuery 1.0/XPath 2.0 expectation that a every item is either a
node or an atomic value. See
https://lists.w3.org/Archives/Member/w3c-xsl-query/2013Feb/0050.htm
(member only)
.
Fixed text for castable. Resolves
Bug
21664
.
Added error code [
err:XPDY0130
] for implementation-defined limits.
Resolves
Bug
21413
.
Changed
fn:map
to
fn:for-each
, changed
fn:map-pairs
to
fn:for-each-pair
. See
21128.
Adopted new definition of derives-from(AT, ET). Resolves
20643.
If the NodeTest in an axis step is a NamespaceNodeTest then a
static error is raised. Resolves
Bug
20736
.
A try/catch expression catches dynamic errors and type errors
raised by the evaluation of the target expression of the try
clause. Previously, the text referred to expressions lexically
contained within the try clause. Resolves
Bug
18877
.
The host language must specify whether or not the XPath 3.0
processor normalizes all line breaks before parsing, and if it does
so, whether it uses the rules of XML 1.0 or 1.1. Resolves
Bug
14917
.
Added support for
xs:error
. Resolves
Bug
20634
.
If any component in the focus is defined, all components of the
focus are defined. Resolves
Bug
21011
.
XPath expressions allow any legal XML Unicode character, subject
only to constraints imposed by the host language.
Bug
21574
.
Changed XPTY0117 to FONS0004 in section 2.5.2, changed text of
[
err:XPTY0117
].
Resolves
Bug
21893
.
Explicitly stated that no catch clause "matches" the error
value, a the try/catch expression raises the error that was raised
by the target expression. Resolves
Bug
21666
.
Changed "When tokenizing, the longest possible match that is
valid in the current context is used." to "When tokenizing, the
longest possible match consistent with the EBNF is used." Decided
in Teleconference #541 2013-05-21.
Added an exception for subtype(Ai*, Bi?) when Ai is a pure union
type with no member types, as in xs:error. Resolves
Bug
20862
.
Modified definition of statically known decimal formats in
context. Resolves
Bug
19365
, see comment #10.
A processor must not raise errors for serialization parameters
that it does not support. "A processor that is performing
serialization must raise a serialization error if the values of any
serialization parameters
that it supports
(other than
any that are ignored under the previous paragraph) are
incorrect."
Changed the second rule of
2.5.6.2 The judgement
subtype-itemtype(Ai, Bi)
and
2.5.6.2 The judgement
subtype-itemtype(Ai, Bi)
for the sake of transitivity.
Resolves
Bug
20632
.
Removed the paragraph that said no published version of XML
Schema references the XML 1.1 specifications, since this is no
longer true.
Modified
2.5.6
SequenceType Subtype Relationships
to better account for
xs:error
. Resolves
Bug
22552
.
Improved Step 5.b.ii.A in
3.1.5.1 Evaluating Static and Dynamic
Function Calls
.
J.3.2 Editorial Changes
The following are some of the editorial changes that have been
made.
Deleted unused error, checked for consistency of errors.
Resolves
Bug
20837
.
Added an example to show how to copy "unused" namespaces from
one node to another using
in-scope-prefixes($e) ! namespace
{namespace-uri-for-prefix($e,.)} {.}
. Resolves
Bug
21025
.
Restored normative status of FunctionTest semantics - see
2.5.5.7 Function Test
. They
had been accidentally demoted to NOTE status. Resolves
Bug
19341
.
Added entry for
||
to
A.4 Precedence Order
(Non-Normative)
.
Deleted note on the converse relationship from
2.5.6 SequenceType Subtype
Relationships
.
Removed statement that implied the XQuery 3.0 requirements
include a requirement for an XML-based representation.
J.3.3 Resolutions that
are no longer relevant.
The following are changes that have been decided, but are no
longer relevant because of our decision to remove
require-feature
/
prohibit-feature
.
Resolution of the following bugs, all related to
require/prohibit feature, has not yet been implemented in this
document:
Bug
21130
,
Bug
19597
,
Bug
21717
.
Pure union types (formerly known as restricted union types) are
now permitted in AtomicOrUnionTypes. Resolves
Bug
13399
.
Adopted the XML restriction that control characters #x1 to #x1F
and 0x7F to 0x9F cannot appear in unescaped form in an XQuery.
Resolves
Bug
14921
.
Function conversion rules depend on the setting of XPath 1.0
compatibility mode only for static functions. Resolves
Bug
15398
.
Added available text resources to the static context, as part of
the resolution of
Bug
14932
.
Changed error XQST0046 for URI literals so that it is no longer
dependent on the lexical space of xs:anyURI - the error is now
raised if the value of a URILiteral or a BracedURILiteral is of
nonzero length and is neither an absolute URI nor a relative URI.
Resolves
Bug
15675
.
Clarified and extended rules for casting. Resolves
Bug
15807
.
Abandoned the special casting rule that prevented atomization
for namespace sensitive types. Resolves
Bug
16089
.
The split of base URI into static base URI and dynamic base URI
has been reverted. Resolves
Bug
17595
.
Changed the syntax of EQName to avoid conflicts with potential
JSON syntax extensions in future versions. Resolves
Bug
15399
.
Relaxed rules that required inputs, outputs, and query modules
to all use the same versions of XML, XML Names, and XML Schemas for
names, characters, attribute value normalization, line-breaks, etc.
Resolves
Bug
15966
.
Function items are now supported for context-dependent functions
if they depend only on the static context. Resolves
Bug
15912
.
Removed error XPDY0229. Resolves
Bug
16681
.
Changed precedence of simple map operator, reorganized text
accordingly. Resolves
Bug
16197
.
Integrated proposals on static and dynamic context from
http://lists.w3.org/Archives/Member/w3c-xsl-query/2012May/0118.html
.
Resolves Bugs
14656
,
14375
,
and
15791
.
If there is a Comment before the end of a Version Declaration,
an implementation must either raise an implementation-defined
static error or ignore the commment. Decided in Montreal
Face-to-Face, see
https://lists.w3.org/Archives/Member/w3c-xsl-query/2012Jul/0081.html
.
Changed rules for whitespace in URI Literals and Braced URI
Literals in
2.4.5 URI
Literals
. Decided in face-to-face #517, 2012-07-23 to
2012-07-25.
Updated the appendix of implementation-defined items.
In
E castable as T
, if
E
raises a
dyanmic error,
castable
returns
false
, it
does not "fail". See
3.13.3
Castable
.
Adopted rewording of
2.5.5.4 Schema Element Test
.
Resolves
Bug
10207
.
Corrected rule #17 of
2.5.6.2
The judgement subtype-itemtype(Ai, Bi)
. Resolves
Bug
19425
.
Added error [
err:XPST0133
], which is raised if the namespace
URI for an EQName is
http://www.w3.org/2000/xmlns/
, in
the early section on names. Removed duplicate material in the
section on node tests. Resolves
Bug
19658
.
Updated
J.1
Incompatibilities
to state that three function names are
now reserved (
function
,
namespace-node
,
and
switch
). Fulfils Action A-523-06.
Ai is a subtype of Bi if Ai and Bi are both pure union types,
and every type t in the transitive membership of Ai is also in the
transitive membership of Bi. Resolves
Bug
19504
.
Added
html-version
and
item-separator
to Appendix C.1. Resolves
Bug
20267
.
Implementations must raise an error if limits are exceeded.
Resolves
Bug
20310
.
J.4.2 Editorial Changes
The following are some of the editorial changes that have been
made.
Introduced the concept of singleton focus, borrowed from XSLT,
and used it to clarify context declaration. Resolves
Bug
15789
.
Reworked much of the prose re functions, to increase clarity and
better accommodate dynamic function calls and partial function
applications.
Reworked abstract and introductory text for XPath.
Consistently use "absent" for properties with no value in both
static and dynamic context.
Removed erroneous references to modules in XPath.
Removed erroneous reference to XQST0034 codes in XPath.
More consistent use of terminology for raising an error,
eliminating other terms (signal, report, raise, throw) that have
been used in various versions of this specification over the
years.
Eliminated Serialization section, which has no place in the
XPath specification.
Improved the definition of
static error
.
Added a reference to XQuery try/catch expressions as a possible
implementation-defined way to catch errors.
Editorial rewrite of the description of document order.
Corrected erroneous inclusion of XQuery text on function
assertions in XPath.
Corrected several places where EQNames, QNames, and expanded
QNames were conflated.
Simplified
3.1.2 Variable
References
so that it no longer enumerates expressions that
bind variables, and merely refers to the static context. This
simplifies maintenance of the specification.
Improved the definition of
node test
.
Removed change log entries that apply only to XQuery.
Removed a dangling note describing an obsolete error for
context-sensitive functions in
3.1.6 Named Function References
Fixed headings in Appendix C that implied that it describes
static and dynamic contexts only for modules. Resolves
Bug
20350
.
Added
2.5.6 SequenceType
Subtype Relationships
, moving sequence type subtype
judgments into the language specification rather than the formal
semantics.
Clarified type information available to
derives-from()
in
2.5.5 SequenceType Matching
.
Resolves
Bug 6513,
Comment #21
.
Modified
derives-from()
in
2.5.5 SequenceType Matching
to support union types. Resolves
Bug
7749
.
Added
let
expressions
.
Removed section on static typing extensions.
Added support for literal URLs in names, using
EQNames
.
Added support for XML Schema 1.1.
Added support for union types in function arguments.
Clarified wording on conflicts between function signatures and
constructor functions in
statically known
function
signatures
.
Added missing consistency constraints for statically known
namespaces to
2.2.4
Consistency Constraints
(the prefix
xmlns
is
not bound to any namespace URI, no prefix is bound to the namespace
URI
http://www.w3.org/2000/xmlns/
). Resolves
Bug
10700
.
Adopted rules for abstract elements in substitution groups:
abstract elements do not appear in substitution groups, block
attributes must be taken into account when building the
substitution groups. Resolves
Bug
10207
.
Added missing semantics for EQNames with URILiterals. Resolves
10857.
Added support for casting to union types. Resolves
Bug
7860
.
Allowed a
URILiteral
in
Wildcard
.
(This change appeared in an earlier draft, but was not mentioned in
the corresponding change log.)
How XDM instances are created from sources other than an Infoset
or PSVI is implementation-defined. Resolves
Bug
12208
. (This change appeared in an earlier draft, but was not
mentioned in the corresponding change log.)
Clarified use of Static Base URI, Dynamic Base URI per
Bug
11561#c6
. (This change appeared in an earlier draft, but was
not mentioned in the corresponding change log.)
Adds errors for casts to namepace sensitive types in cast and
function conversion rules. Resolves
Bug
11964
. (This change appeared in an earlier draft, but was not
mentioned in the corresponding change log.)
Specified use of "unknown" types, including types from documents
and types from other modules. Eliminated err:XQST0036. Resolves
11095. (This change appeared in an earlier draft, but was not
mentioned in the corresponding change log.)
Introduced
Generalized atomic types
,
restricted unions in SequenceType to these types.
Added string concatenation operator
"con" || "cat" ||
"enate"
Implemented simple mapping operator proposal using "!" operator.
Resolves
Bug
12951
.
Changed rules for matching substitution groups. Resolves
10065.
For a partial function application, a failure in the function
conversion rules MUST raise a type error.
Function item coercion is required to raise a type error if
there's a mismatch in the number of parameters (expected vs
actual). Resolves
Bug
14350
.
In the triggers for err:XPST0112, broaden the class of functions
that can't be referenced by partial function applications and named
function references, from "focus-dependent" to "context-dependent
built-in".
Added default language, calendar, and place to the dynamic
context. Resolves
Bug
14995
.
Removed function annotations from XPath. Resolves
Bug
14883
.
Whether end-of-line handling is done before parsing is defined
by the host language. Resolves
Bug
14917
.
Expanded definition of XPST0080 so that casting to
xs:anySimpleType is also an error. Resolves
Bug
19090
.