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 .

The dynamic context of an expression is defined as information that is needed for the dynamic evaluation of an expression. If evaluation of an expression relies on some part of the dynamic context that is , a dynamic error is raised .

The individual components of the dynamic context are described below. Further rules governing the semantics of these components can be found in .

The dynamic context consists of all the components of the static context, and the additional components listed below.

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, both the context item and context position are known.

If any component in the focus is defined, context size is usually defined as well. However, when streaming, the context size cannot be determined without lookahead, so it may be undefined. If so, expressions like last() will raise a dynamic error because the context size is undefined.

Certain language constructs, notably the path operator E1/E2, the simple map operator E1!E2 , 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 is used only for the evaluation of E2. Evaluation of E1 continues with its original focus unchanged.

As described in , XPath 3.1 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.

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.

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.

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 . 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 an XPath expression statically only if the expression can never execute without raising that error, as in the following example:

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.

In addition to static errors, dynamic errors, and type errors, an XPath 3.1 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 .

The errors defined in this specification are identified by QNames that have the form err:XPYYnnnn, where:

The method by which an XPath 3.1 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.

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 validly return a value or raise a dynamic error, the implementation may choose to return the value or raise the dynamic error (see ). 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:

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.

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. The host language may also provide error handling mechanisms.

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 .

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 . 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:

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:

Expression rewrite is illustrated by the following examples.

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 , and its definition is repeated here for convenience. Document order is a total ordering, although the relative order of some nodes is implementation-dependent. Informally, document order is the order in which nodes appear in the XML serialization of a document. 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. 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 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 3.1 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 . Atomization of a sequence is defined as the result of invoking the fn:data function, as defined in . fn:data function on the sequence, as defined in .

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:

Atomization is used in processing the following types of expressions:

Under certain circumstances (listed below), it is necessary to find the effective boolean value of a 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 .

The dynamic semantics of fn:boolean are repeated here for convenience:

The effective boolean value of a sequence is computed implicitly during processing of the following types of expressions:

XPath 3.1 has a set of functions that provide access to XML documents (fn:doc, fn:doc-available), collections (fn:collection, fn:uri-collection), text files (fn:unparsed-text, fn:unparsed-text-lines, fn:unparsed-text-available), and environment variables (fn:environment-variable, fn:available-environment-variables). These functions are defined in .

XPath 3.1 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 .

An expression can access input data either by calling one of these 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 3.1 are as follows:

These input functions are all specified in , which specifies error conditions and other details not described here.

XPath 3.1 requires a statically known, valid URI in a BracedURILiteral. An implementation may raise a static error if the value of a Braced URI Literal is of nonzero length and is neither an absolute URI nor a relative URI.

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 .

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 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 or and augmented by additional types defined in . An implementation that has based its type system on is not required to support the xs:dateTimeStamp or xs:error types. type.

The schema types defined in are summarized below.

The relationships among the schema types in the xs namespace are illustrated in Figure 2. A more complete description of the XPath 3.1 type hierarchy can be found in .

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 3.1 defines some error conditions that occur only with namespace-sensitive values. For instance, casting to a namespace-sensitive type raises a type error 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 . The typed value of a node is a sequence of atomic values and can be extracted by applying the function to the node. The string value of a node is a string and can be extracted by applying the function to the node. Definitions of fn:data and fn:string can be found in .

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 .

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.

Whenever it is necessary to refer to a type in an XPath 3.1 expression, the SequenceType syntax is used.

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 3.1:

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 3.1 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).

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 . This function is defined as follows:

The rules for SequenceType matching are given below, with examples (the examples are for purposes of illustration, and do not cover all possible cases).

Given two sequence types, it is possible to determine if one is a subtype of the other. 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).

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. It was defined in XML Schema in the interests of making the type system complete and closed, and it is also available in XPath 3.1 for similar reasons.

A literal is a direct syntactic representation of an atomic value. XPath 3.1 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 .

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:

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 simple 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 . 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:

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."

Constructor functions are available for all Generalized atomic types simple 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:

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 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.

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 .

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 , a context item expression raises a dynamic error .

The built-in functions supported by XPath 3.1 are the functions defined in in the http://www.w3.org/2005/xpath-functions, http://www.w3.org/2001/XMLSchema, http://www.w3.org/2005/xpath-functions/math, http://www.w3.org/2005/xpath-functions/map, and http://www.w3.org/2005/xpath-functions/array namespaces. The set of built-in functions is specified by the host language. 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.

A static function call consists of an EQName followed by a parenthesized list of zero or more arguments. 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 .

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 .

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:

A named function reference is an expression which evaluates to a named function. The name and arity of the returned function are known statically, and correspond to a function signature present in the static context; if the function is context dependent, then the returned function is associated with the static context of the named function reference and the dynamic context in which it is evaluated. 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 .

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 returned by the evaluation of a NamedFunctionRef has an implementation-dependent implementation, then the implementation of this function is associated with the static context of this NamedFunctionRef expression and with the dynamic context in which the NamedFunctionRef is evaluated.

Certain functions in the 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.

The following are examples of named function references:

An inline function expression creates an anonymous function defined directly in the inline function expression. 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. An anonymous function is a function with no name. Anonymous functions may be created, for example, by evaluating an inline function expression or by partial function application.

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 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 .

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.

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 ):

name: An absent name. Absent.

The following are examples of some inline function expressions:

Some primary expressions contain enclosed expressions. EnclosedExpr"{" Expr? "}" An enclosed expression is an instance of the EnclosedExpr production, which allows an optional expression within curly braces. In an enclosed expression, the optional expression enclosed in curly braces is called the content expression. If the content expression is omitted not provided explicitly, the value of the content expression is ().

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.

Here are some examples of filter expressions:

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:

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 .

The following are examples of some dynamic function calls:

A relative path expression is a path expression that selects nodes within a tree by following a series of steps starting at the context node (which, unlike an absolute path expression, may be any node in a tree).

Each non-initial occurrence of "//" in a path expression is expanded as described in , leaving a sequence of steps separated by "/". This sequence of steps is then evaluated from left to right. So a path such as E1/E2/E3/E4 is evaluated as ((E1/E2)/E3)/E4. The semantics of a path expression are thus defined by the semantics of the binary "/" operator, which is defined in .

The following example illustrates the use of relative path expressions.

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 .

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 . 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 .

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 . The available node tests are described in . Examples of steps are provided in and .

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 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 .

The abbreviated syntax permits the following abbreviations:

Here are some examples of path expressions that use the abbreviated syntax:

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.

Here are some examples of expressions that construct sequences:

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.

XPath 3.1 provides the following operators for combining sequences of nodes:

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 .

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.

In addition to the sequence operators described here, see for functions defined on sequences. 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.

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:

The combinations of atomic types that are accepted by the various value comparison operators, and their respective result types, are listed in 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 .

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 , a type error is raised .

Here are some examples of value comparisons:

The general comparison operators are =, !=, <, <=, >, 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 XPath 1.0 compatibility mode is false, a general comparison is evaluated by applying the following rules, in order:

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:

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:

Here are some examples of node comparisons:

A map is a function that associates a set of keys with values, resulting in a collection of key / value pairs. Each key / value pair in a map is called an entry. The value associated with a given key is called the associated value of the key.

Array Constructors

An array is a function that associates a set of positions, represented as positive integer keys, with values. The first position in an array is associated with the integer 1. The values of an array are called its members. In the type hierarchy, array has a distinct type, which is derived from function. Atomization converts arrays to sequences (see Atomization).

An array is created using an ArrayConstructor.

If a member of an array is a node, its node identity is preserved.

XPath 3.1 has no operators that can distinguish a map or array from another map or array with the same values. Future versions of the XQuery Update Facility, on the other hand, will expose this difference, and need to be clear about the data model instance that is constructed.

In some existing implementations that support updates via proprietary extensions, if a member expression evaluates to a map or array, the member is a new map or array with the same values.

The members of a SquareArrayConstructor can be any value, separated by commas.

A SquareArrayConstructor consists of a comma-delimited set of argument expressions. It returns an array in which each member contains the value of the corresponding argument expression.

Examples:

A CurlyArrayConstructor can use any XQuery expression to create its members. It evaluates its operand expression to obtain a sequence of items and creates an array with these items as members. Unlike a SquareArrayConstructor, a comma in a CurlyArrayConstructor is the XQuery comma operator, not a delimiter.

Examples:

XPath 3.1 provides a lookup operator for maps and arrays that is more convenient for some common cases. It provides a terse syntax for simple strings as keys in maps or integers as keys in arrays, supports wildcards, and iterates over sequences of maps and arrays.

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:

Occasionally it is necessary to convert a value to a specific datatype. For this purpose, XPath 3.1 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 . In addition, the target type cannot be xs:NOTATION, xs:anySimpleType, or xs:anyAtomicType . 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:

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 . 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.

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.

XPath 3.1 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 . In addition, the target type cannot be xs:NOTATION, xs:anySimpleType, or xs:anyAtomicType . 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 or if the value of E cannot be atomized, 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:

For every generalized atomic type simple type in the in-scope schema types (except xs:NOTATION and xs:anyAtomicType, and xs:anySimpleType, 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: a given type depends on the type that is being constructed, and can be found in .

The constructor function for a given type is used to convert instances of other atomic simple 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:

XPath 3.1 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: