W3C

W3C XML Schema Definition Language (XSD) 1.1 Part 2: Datatypes

W3C Recommendation 5 April 2012

This version:
http://www.w3.org/TR/2012/REC-xmlschema11-2-20120405/
Latest version:
http://www.w3.org/TR/xmlschema11-2/
Previous version:
http://www.w3.org/TR/2012/PR-xmlschema11-2-20120119/
Editors (Version 1.1):
David Peterson, invited expert (SGMLWorks!) <davep@iit.edu>
Shudi (Sandy) Gao 高殊镝, IBM <sandygao@ca.ibm.com>
Ashok Malhotra, Oracle Corporation <ashokmalhotra@alum.mit.edu>
C. M. Sperberg-McQueen, Black Mesa Technologies LLC <cmsmcq@blackmesatech.com>
Henry S. Thompson, University of Edinburgh <ht@inf.ed.ac.uk>
Editors (Version 1.0):
Paul V. Biron, Kaiser Permanente, for Health Level Seven <paul@sparrow-hawk.org>
Ashok Malhotra, Oracle Corporation <ashokmalhotra@alum.mit.edu>

Please refer to the errata for this document, which may include some normative corrections.

See also translations.

This document is also available in these non-normative formats: XML, XHTML with changes since version 1.0 marked, XHTML with changes since previous Working Draft marked, Independent copy of the schema for schema documents, Independent copy of the DTD for schema documents, and List of translations.


Abstract

XML Schema: Datatypes is part 2 of the specification of the XML Schema language. It defines facilities for defining datatypes to be used in XML Schemas as well as other XML specifications. The datatype language, which is itself represented in XML, provides a superset of the capabilities found in XML document type definitions (DTDs) for specifying datatypes on elements and attributes.

Status of this Document

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 W3C Recommendation specifies the W3C XML Schema Definition Language (XSD) 1.1 Part 2: Datatypes. It is here made available for review by W3C members and the public.

Changes since the previous public Working Draft include the following:

For those primarily interested in the changes since version 1.0, the appendix Changes since version 1.0 (§I) is the recommended starting point. An accompanying version of this document displays in color all changes to normative text since version 1.0; another shows changes since the previous Working Draft.

Comments on this document should be made in W3C's public installation of Bugzilla, specifying "XML Schema" as the product. Instructions can be found at http://www.w3.org/XML/2006/01/public-bugzilla. If access to Bugzilla is not feasible, please send your comments to the W3C XML Schema comments mailing list, www-xml-schema-comments@w3.org (archive) and note explicitly that you have not made a Bugzilla entry for the comment. Each Bugzilla entry and email message should contain only one comment.

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.

An implementation report for XSD 1.1 was prepared and used in the Director's decision to publish the previous version of this specification as a Proposed Recommendation. The Director's decision to publish this document as a W3C Recommendation is based on consideration of reviews of the Proposed Recommendation by the public and by the members of the W3C Advisory committee.

The W3C XML Schema Working Group intends to process comments made about this recommendation, with any approved changes being handled as errata to be published separately.

This document has been produced by the W3C XML Schema Working Group as part of the W3C XML Activity. The goals of the XML Schema language version 1.1 are discussed in the Requirements for XML Schema 1.1 document. The authors of this document are the members of the XML Schema Working Group. Different parts of this specification have different editors.

This document was produced by a group operating under the 5 February 2004 W3C Patent Policy. W3C maintains a public list of any patent disclosures made in connection with the deliverables of the group; that page also includes 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 with section 6 of the W3C Patent Policy.

The English version of this specification is the only normative version. Information about translations of this document is available at http://www.w3.org/2003/03/Translations/byTechnology?technology=xmlschema.

Table of Contents

1 Introduction
    1.1 Introduction to Version 1.1
    1.2 Purpose
    1.3 Dependencies on Other Specifications
    1.4 Requirements
    1.5 Scope
    1.6 Terminology
    1.7 Constraints and Contributions
2 Datatype System
    2.1 Datatype
    2.2 Value space
Identity · Equality · Order
    2.3 The Lexical Space and Lexical Mapping
Canonical Mapping
    2.4 Datatype Distinctions
Atomic vs. List vs. Union Datatypes · Special vs. Primitive vs. Ordinary Datatypes · Definition, Derivation, Restriction, and Construction · Built-in vs. User-Defined Datatypes
3 Built-in Datatypes and Their Definitions
    3.1 Namespace considerations
    3.2 Special Built-in Datatypes
anySimpleType · anyAtomicType
    3.3 Primitive Datatypes
string · boolean · decimal · float · double · duration · dateTime · time · date · gYearMonth · gYear · gMonthDay · gDay · gMonth · hexBinary · base64Binary · anyURI · QName · NOTATION
    3.4 Other Built-in Datatypes
normalizedString · token · language · NMTOKEN · NMTOKENS · Name · NCName · ID · IDREF · IDREFS · ENTITY · ENTITIES · integer · nonPositiveInteger · negativeInteger · long · int · short · byte · nonNegativeInteger · unsignedLong · unsignedInt · unsignedShort · unsignedByte · positiveInteger · yearMonthDuration · dayTimeDuration · dateTimeStamp
4 Datatype components
    4.1 Simple Type Definition
The Simple Type Definition Schema Component · XML Representation of Simple Type Definition Schema Components · Constraints on XML Representation of Simple Type Definition · Simple Type Definition Validation Rules · Constraints on Simple Type Definition Schema Components · Built-in Simple Type Definitions
    4.2 Fundamental Facets
ordered · bounded · cardinality · numeric
    4.3 Constraining Facets
length · minLength · maxLength · pattern · enumeration · whiteSpace · maxInclusive · maxExclusive · minExclusive · minInclusive · totalDigits · fractionDigits · Assertions · explicitTimezone
5 Conformance
    5.1 Host Languages
    5.2 Independent implementations
    5.3 Conformance of data
    5.4 Partial Implementation of Infinite Datatypes

Appendices

A Schema for Schema Documents (Datatypes) (normative)
B DTD for Datatype Definitions (non-normative)
C Illustrative XML representations for the built-in simple type definitions
    C.1 Illustrative XML representations for the built-in primitive type definitions
    C.2 Illustrative XML representations for the built-in ordinary type definitions
D Built-up Value Spaces
    D.1 Numerical Values
Exact Lexical Mappings
    D.2 Date/time Values
The Seven-property Model · Lexical Mappings
E Function Definitions
    E.1 Generic Number-related Functions
    E.2 Duration-related Definitions
    E.3 Date/time-related Definitions
Normalization of property values · Auxiliary Functions · Adding durations to dateTimes · Time on timeline · Lexical mappings · Canonical Mappings
    E.4 Lexical and Canonical Mappings for Other Datatypes
Lexical and canonical mappings for
F Datatypes and Facets
    F.1 Fundamental Facets
G Regular Expressions
    G.1 Regular expressions and branches
    G.2 Pieces, atoms, quantifiers
    G.3 Characters and metacharacters
    G.4 Character Classes
Character class expressions · Character Class Escapes
H Implementation-defined and implementation-dependent features (normative)
    H.1 Implementation-defined features
    H.2 Implementation-dependent features
I Changes since version 1.0
    I.1 Datatypes and Facets
    I.2 Numerical Datatypes
    I.3 Date/time Datatypes
    I.4 Other changes
J Glossary (non-normative)
K References
    K.1 Normative
    K.2 Non-normative
L Acknowledgements (non-normative)

1 Introduction

next sub-section1.1 Introduction to Version 1.1

The Working Group has two main goals for this version of W3C XML Schema:

  • Significant improvements in simplicity of design and clarity of exposition without loss of backward or forward compatibility;
  • Provision of support for versioning of XML languages defined using the XML Schema specification, including the XML transfer syntax for schemas itself.

These goals are slightly in tension with one another -- the following summarizes the Working Group's strategic guidelines for changes between versions 1.0 and 1.1:

  1. Add support for versioning (acknowledging that this may be slightly disruptive to the XML transfer syntax at the margins)
  2. Allow bug fixes (unless in specific cases we decide that the fix is too disruptive for a point release)
  3. Allow editorial changes
  4. Allow design cleanup to change behavior in edge cases
  5. Allow relatively non-disruptive changes to type hierarchy (to better support current and forthcoming international standards and W3C recommendations)
  6. Allow design cleanup to change component structure (changes to functionality restricted to edge cases)
  7. Do not allow any significant changes in functionality
  8. Do not allow any changes to XML transfer syntax except those required by version control hooks and bug fixes

The overall aim as regards compatibility is that

  • All schema documents conformant to version 1.0 of this specification should also conform to version 1.1, and should have the same validation behavior across 1.0 and 1.1 implementations (except possibly in edge cases and in the details of the resulting PSVI);
  • The vast majority of schema documents conformant to version 1.1 of this specification should also conform to version 1.0, leaving aside any incompatibilities arising from support for versioning, and when they are conformant to version 1.0 (or are made conformant by the removal of versioning information), should have the same validation behavior across 1.0 and 1.1 implementations (again except possibly in edge cases and in the details of the resulting PSVI);

previous sub-section next sub-section1.2 Purpose

The [XML] specification defines limited facilities for applying datatypes to document content in that documents may contain or refer to DTDs that assign types to elements and attributes. However, document authors, including authors of traditional documents and those transporting data in XML, often require a higher degree of type checking to ensure robustness in document understanding and data interchange.

The table below offers two typical examples of XML instances in which datatypes are implicit: the instance on the left represents a billing invoice, the instance on the right a memo or perhaps an email message in XML.

Data orientedDocument oriented
<invoice>
  <orderDate>1999-01-21</orderDate>
  <shipDate>1999-01-25</shipDate>
  <billingAddress>
   <name>Ashok Malhotra</name>
   <street>123 Microsoft Ave.</street>
   <city>Hawthorne</city>
   <state>NY</state>
   <zip>10532-0000</zip>
  </billingAddress>
  <voice>555-1234</voice>
  <fax>555-4321</fax>
</invoice>
<memo importance='high'
      date='1999-03-23'>
  <from>Paul V. Biron</from>
  <to>Ashok Malhotra</to>
  <subject>Latest draft</subject>
  <body>
    We need to discuss the latest
    draft <emph>immediately</emph>.
    Either email me at <email>
    mailto:paul.v.biron@kp.org</email>
    or call <phone>555-9876</phone>
  </body>
</memo>

The invoice contains several dates and telephone numbers, the postal abbreviation for a state (which comes from an enumerated list of sanctioned values), and a ZIP code (which takes a definable regular form).  The memo contains many of the same types of information: a date, telephone number, email address and an "importance" value (from an enumerated list, such as "low", "medium" or "high").  Applications which process invoices and memos need to raise exceptions if something that was supposed to be a date or telephone number does not conform to the rules for valid dates or telephone numbers.

In both cases, validity constraints exist on the content of the instances that are not expressible in XML DTDs.  The limited datatyping facilities in XML have prevented validating XML processors from supplying the rigorous type checking required in these situations.  The result has been that individual applications writers have had to implement type checking in an ad hoc manner.  This specification addresses the need of both document authors and applications writers for a robust, extensible datatype system for XML which could be incorporated into XML processors.  As discussed below, these datatypes could be used in other XML-related standards as well.

previous sub-section next sub-section1.3 Dependencies on Other Specifications

Other specifications on which this one depends are listed in References (§K).

This specification defines some datatypes which depend on definitions in [XML] and [Namespaces in XML]; those definitions, and therefore the datatypes based on them, vary between version 1.0 ([XML 1.0], [Namespaces in XML 1.0]) and version 1.1 ([XML], [Namespaces in XML]) of those specifications. In any given use of this specification, the choice of the 1.0 or the 1.1 definition of those datatypes is ·implementation-defined·.

Conforming implementations of this specification may provide either the 1.1-based datatypes or the 1.0-based datatypes, or both. If both are supported, the choice of which datatypes to use in a particular assessment episode should be under user control.

Note: When this specification is used to check the datatype validity of XML input, implementations may provide the heuristic of using the 1.1 datatypes if the input is labeled as XML 1.1, and using the 1.0 datatypes if the input is labeled 1.0, but this heuristic should be subject to override by users, to support cases where users wish to accept XML 1.1 input but validate it using the 1.0 datatypes, or accept XML 1.0 input and validate it using the 1.1 datatypes.

This specification makes use of the EBNF notation used in the [XML] specification. Note that some constructs of the EBNF notation used here resemble the regular-expression syntax defined in this specification (Regular Expressions (§G)), but that they are not identical: there are differences. For a fuller description of the EBNF notation, see Section 6. Notation of the [XML] specification.

previous sub-section next sub-section1.4 Requirements

The [XML Schema Requirements] document spells out concrete requirements to be fulfilled by this specification, which state that the XML Schema Language must:

  1. provide for primitive data typing, including byte, date, integer, sequence, SQL and Java primitive datatypes, etc.;
  2. define a type system that is adequate for import/export from database systems (e.g., relational, object, OLAP);
  3. distinguish requirements relating to lexical data representation vs. those governing an underlying information set;
  4. allow creation of user-defined datatypes, such as datatypes that are derived from existing datatypes and which may constrain certain of its properties (e.g., range, precision, length, format).

previous sub-section next sub-section1.5 Scope

This specification defines datatypes that can be used in an XML Schema.  These datatypes can be specified for element content that would be specified as #PCDATA and attribute values of various types in a DTD.  It is the intention of this specification that it be usable outside of the context of XML Schemas for a wide range of other XML-related activities such as [XSL] and [RDF Schema].

previous sub-section next sub-section1.6 Terminology

The terminology used to describe XML Schema Datatypes is defined in the body of this specification. The terms defined in the following list are used in building those definitions and in describing the actions of a datatype processor:

[Definition:]  for compatibility
A feature of this specification included solely to ensure that schemas which use this feature remain compatible with [XML].
(Of strings or names:) Two strings or names being compared must be identical. Characters with multiple possible representations in ISO/IEC 10646 (e.g. characters with both precomposed and base+diacritic forms) match only if they have the same representation in both strings. No case folding is performed.
(Of strings and rules in the grammar:) A string matches a grammatical production if and only if it belongs to the language generated by that production.
Schemas, schema documents, and processors are permitted to but need not behave as described.
It is recommended that schemas, schema documents, and processors behave as described, but there can be valid reasons for them not to; it is important that the full implications be understood and carefully weighed before adopting behavior at variance with the recommendation.
(Of schemas and schema documents:) Schemas and documents are required to behave as described; otherwise they are in ·error·.
(Of processors:) Processors are required to behave as described.
Schemas, schema documents and processors are forbidden to behave as described; schemas and documents which nevertheless do so are in ·error·.
A failure of a schema or schema document to conform to the rules of this specification.
Except as otherwise specified, processors must distinguish error-free (conforming) schemas and schema documents from those with errors; if a schema used in type-validation or a schema document used in constructing a schema is in error, processors must report the fact; if more than one is in error, it is ·implementation-dependent· whether more than one is reported as being in error. If more than one of the constraints given in this specification is violated, it is ·implementation-dependent· how many of the violations, and which, are reported.
Note: Failure of an XML element or attribute to be datatype-valid against a particular datatype in a particular schema is not in itself a failure to conform to this specification and thus, for purposes of this specification, not an error.
[Definition:]  user option
A choice left under the control of the user of a processor, rather than being fixed for all users or uses of the processor.
Statements in this specification that "Processors may at user option" behave in a certain way mean that processors may provide mechanisms to allow users (i.e. invokers of the processor) to enable or disable the behavior indicated. Processors which do not provide such user-operable controls must not behave in the way indicated. Processors which do provide such user-operable controls must make it possible for the user to disable the optional behavior.
Note: The normal expectation is that the default setting for such options will be to disable the optional behavior in question, enabling it only when the user explicitly requests it. This is not, however, a requirement of conformance: if the processor's documentation makes clear that the user can disable the optional behavior, then invoking the processor without requesting that it be disabled can be taken as equivalent to a request that it be enabled. It is required, however, that it in fact be possible for the user to disable the optional behavior.
Note: Nothing in this specification constrains the manner in which processors allow users to control user options. Command-line options, menu choices in a graphical user interface, environment variables, alternative call patterns in an application programming interface, and other mechanisms may all be taken as providing user options.

previous sub-section 1.7 Constraints and Contributions

This specification provides three different kinds of normative statements about schema components, their representations in XML and their contribution to the schema-validation of information items:

[Definition:]   Constraint on Schemas
Constraints on the schema components themselves, i.e. conditions components must satisfy to be components at all. Largely to be found in Datatype components (§4).
[Definition:]   Schema Representation Constraint
Constraints on the representation of schema components in XML.  Some but not all of these are expressed in Schema for Schema Documents (Datatypes) (normative) (§A) and DTD for Datatype Definitions (non-normative) (§B).
[Definition:]   Validation Rule
Constraints expressed by schema components which information items must satisfy to be schema-valid.  Largely to be found in Datatype components (§4).

2 Datatype System

This section describes the conceptual framework behind the datatype system defined in this specification.  The framework has been influenced by the [ISO 11404] standard on language-independent datatypes as well as the datatypes for [SQL] and for programming languages such as Java.

The datatypes discussed in this specification are for the most part well known abstract concepts such as integer and date. It is not the place of this specification to thoroughly define these abstract concepts; many other publications provide excellent definitions. However, this specification will attempt to describe the abstract concepts well enough that they can be readily recognized and distinguished from other abstractions with which they may be confused.

Note: Only those operations and relations needed for schema processing are defined in this specification. Applications using these datatypes are generally expected to implement appropriate additional functions and/or relations to make the datatype generally useful.  For example, the description herein of the float datatype does not define addition or multiplication, much less all of the operations defined for that datatype in [IEEE 754-2008] on which it is based.  For some datatypes (e.g. language or anyURI) defined in part by reference to other specifications which impose constraints not part of the datatypes as defined here, applications may also wish to check that values conform to the requirements given in the current version of the relevant external specification.

next sub-section2.1 Datatype

[Definition:]  In this specification, a datatype has three properties:
Note: This specification only defines the operations and relations needed for schema processing.  The choice of terminology for describing/naming the datatypes is selected to guide users and implementers in how to expand the datatype to be generally useful—i.e., how to recognize the "real world" datatypes and their variants for which the datatypes defined herein are meant to be used for data interchange.

Along with the ·lexical mapping· it is often useful to have an inverse which provides a standard ·lexical representation· for each value.  Such a ·canonical mapping· is not required for schema processing, but is described herein for the benefit of users of this specification, and other specifications which might find it useful to reference these descriptions normatively. For some datatypes, notably QName and NOTATION, the mapping from lexical representations to values is context-dependent; for these types, no ·canonical mapping· is defined.

Note: Where ·canonical mappings· are defined in this specification, they are defined for ·primitive· datatypes. When a datatype is derived using facets which directly constrain the ·value space·, then for each value eliminated from the ·value space·, the corresponding lexical representations are dropped from the lexical space. The ·canonical mapping· for such a datatype is a subset of the ·canonical mapping· for its ·primitive· type and provides a ·canonical representation· for each value remaining in the ·value space·.
The ·pattern· facet, on the other hand, and any other (·implementation-defined·) ·lexical· facets, restrict the ·lexical space· directly. When more than one lexical representation is provided for a given value, such facets may remove the ·canonical representation· while permitting a different lexical representation; in this case, the value remains in the ·value space· but has no ·canonical representation·. This specification provides no recourse in such situations. Applications are free to deal with it as they see fit.
Note: This specification sometimes uses the shorter form "type" where one might strictly speaking expect the longer form "datatype" (e.g. in the phrases "union type", "list type", "base type", "item type", etc. No systematic distinction is intended between the forms of these phrase with "type" and those with "datatype"; the two forms are used interchangeably.
The distinction between "datatype" and "simple type definition", by contrast, carries more information: the datatype is characterized by its ·value space·, ·lexical space·, ·lexical mapping·, etc., as just described, independently of the specific facets or other definitional mechanisms used in the simple type definition to describe that particular ·value space· or ·lexical space·. Different simple type definitions with different selections of facets can describe the same datatype.

previous sub-section next sub-section2.2 Value space

        2.2.1 Identity
        2.2.2 Equality
        2.2.3 Order

[Definition:]  The value space of a datatype is the set of values for that datatype.  Associated with each value space are selected operations and relations necessary to permit proper schema processing.  Each value in the value space of a ·primitive· or ·ordinary· datatype is denoted by one or more character strings in its ·lexical space·, according to ·the lexical mapping·; ·special· datatypes, by contrast, may include "ineffable" values not mapped to by any lexical representation. (If the mapping is restricted during a derivation in such a way that a value has no denotation, that value is dropped from the value space.)

The value spaces of datatypes are abstractions, and are defined in Built-in Datatypes and Their Definitions (§3) to the extent needed to clarify them for readers.  For example, in defining the numerical datatypes, we assume some general numerical concepts such as number and integer are known.  In many cases we provide references to other documents providing more complete definitions.

Note: The value spaces and the values therein are abstractions.  This specification does not prescribe any particular internal representations that must be used when implementing these datatypes.  In some cases, there are references to other specifications which do prescribe specific internal representations; these specific internal representations must be used to comply with those other specifications, but need not be used to comply with this specification.
In addition, other applications are expected to define additional appropriate operations and/or relations on these value spaces (e.g., addition and multiplication on the various numerical datatypes' value spaces), and are permitted where appropriate to even redefine the operations and relations defined within this specification, provided that for schema processing the relations and operations used are those defined herein.
The ·value space· of a datatype can be defined in one of the following ways:
  • defined elsewhere axiomatically from fundamental notions (intensional definition) [see ·primitive·]
  • enumerated outright from values of an already defined datatype (extensional definition) [see ·enumeration·]
  • defined by restricting the ·value space· of an already defined datatype to a particular subset with a given set of properties [see ·derived·]
  • defined as a combination of values from one or more already defined ·value space·(s) by a specific construction procedure [see ·list· and ·union·]

The relations of identity and equality are required for each value space. An order relation is specified for some value spaces, but not all. A very few datatypes have other relations or operations prescribed for the purposes of this specification.

2.2.1 Identity

The identity relation is always defined. Every value space inherently has an identity relation. Two things are identical if and only if they are actually the same thing: i.e., if there is no way whatever to tell them apart. 

Note: This does not preclude implementing datatypes by using more than one internal representation for a given value, provided no mechanism inherent in the datatype implementation (i.e., other than bit-string-preserving "casting" of the datum to a different datatype) will distinguish between the two representations.

In the identity relation defined herein, values from different ·primitive· datatypes' ·value spaces· are made artificially distinct if they might otherwise be considered identical.  For example, there is a number two in the decimal datatype and a number two in the float datatype.  In the identity relation defined herein, these two values are considered distinct.  Other applications making use of these datatypes may choose to consider values such as these identical, but for the view of ·primitive· datatypes' ·value spaces· used herein, they are distinct.

WARNING:  Care must be taken when identifying values across distinct primitive datatypes.  The ·literals· '0.1' and '0.10000000009' map to the same value in float (neither 0.1 nor 0.10000000009 is in the value space, and each literal is mapped to the nearest value, namely 0.100000001490116119384765625), but map to distinct values in decimal.

Note: Datatypes ·constructed· by ·facet-based restriction· do not create new values; they define subsets of some ·primitive· datatype's ·value space·. A consequence of this fact is that the ·literals· '+2', treated as a decimal, '+2', treated as an integer, and '+2', treated as a byte, all denote the same value. They are not only equal but identical.

Given a list A and a list B, A and B are the same list if they are the same sequence of atomic values. The necessary and sufficient conditions for this identity are that A and B have the same length and that the items of A are pairwise identical to the items of B.

Note: It is a consequence of the rule just given for list identity that there is only one empty list. An empty list declared as having ·item type· decimal and an empty list declared as having ·item type· string are not only equal but identical.

2.2.2 Equality

Each ·primitive· datatype has prescribed an equality relation for its value space.  The equality relation for most datatypes is the identity relation.  In the few cases where it is not, equality has been carefully defined so that for most operations of interest to the datatype, if two values are equal and one is substituted for the other as an argument to any of the operations, the results will always also be equal.

On the other hand, equality need not cover the entire value space of the datatype (though it usually does). In particular, NaN is not equal to itself in the float and double datatypes.

This equality relation is used in conjunction with identity when making ·facet-based restrictions· by enumeration, when checking identity constraints (in the context of [XSD 1.1 Part 1: Structures]) and when checking value constraints. It is used in conjunction with order when making ·facet-based restrictions· involving order. The equality relation used in the evaluation of XPath expressions may differ.  When processing XPath expressions as part of XML schema-validity assessment or otherwise testing membership in the ·value space· of a datatype whose derivation involves ·assertions·, equality (like all other relations) within those expressions is interpreted using the rules of XPath ([XPath 2.0]).  All comparisons for "sameness" prescribed by this specification test for either equality or identity, not for identity alone.

Note: In the prior version of this specification (1.0), equality was always identity.  This has been changed to permit the datatypes defined herein to more closely match the "real world" datatypes for which they are intended to be used as transmission formats.
For example, the float datatype has an equality which is not the identity ( −0 = +0 , but they are not identical—although they were identical in the 1.0 version of this specification), and whose domain excludes one value, NaN, so that  NaN ≠ NaN .
For another example, the dateTime datatype previously lost any time-zone offset information in the ·lexical representation· as the value was converted to ·UTC·; now the time zone offset is retained and two values representing the same "moment in time" but with different remembered time zone offsets are now equal but not identical.

In the equality relation defined herein, values from different primitive data spaces are made artificially unequal even if they might otherwise be considered equal.  For example, there is a number two in the decimal datatype and a number two in the float datatype.  In the equality relation defined herein, these two values are considered unequal.  Other applications making use of these datatypes may choose to consider values such as these equal; nonetheless, in the equality relation defined herein, they are unequal.

Two lists A and B are equal if and only if they have the same length and their items are pairwise equal. A list of length one containing a value V1 and an atomic value V2 are equal if and only if V1 is equal to V2.

For the purposes of this specification, there is one equality relation for all values of all datatypes (the union of the various datatype's individual equalities, if one consider relations to be sets of ordered pairs).  The equality relation is denoted by '=' and its negation by '≠', each used as a binary infix predicate:  x = y  and  x ≠ y .  On the other hand, identity relationships are always described in words.

2.2.3 Order

For some datatypes, an order relation is prescribed for use in checking upper and lower bounds of the ·value space·.  This order may be a partial order, which means that there may be values in the ·value space· which are neither equal, less-than, nor greater-than.  Such value pairs are incomparable.  In many cases, no order is prescribed; each pair of values is either equal or ·incomparable·. [Definition:]  Two values that are neither equal, less-than, nor greater-than are incomparable. Two values that are not ·incomparable· are comparable.

The order relation is used in conjunction with equality when making ·facet-based restrictions· involving order.  This is the only use of this order relation for schema processing.  Of course, when processing XPath expressions as part of XML schema-validity assessment or otherwise testing membership in the ·value space· of a datatype whose derivation involves ·assertions·, order (like all other relations) within those expressions is interpreted using the rules of XPath ([XPath 2.0]).

In this specification, this less-than order relation is denoted by '<' (and its inverse by '>'), the weak order by '≤' (and its inverse by '≥'), and the resulting ·incomparable· relation by '<>', each used as a binary infix predicate:  x < y ,  x ≤ y ,  x > y ,  x ≥ y , and  x <> y .

Note: The weak order "less-than-or-equal" means "less-than" or "equal" and one can tell which.  For example, the duration P1M (one month) is not less-than-or-equal P31D (thirty-one days) because P1M is not less than P31D, nor is P1M equal to P31D.  Instead, P1M is ·incomparable· with P31D.)  The formal definition of order for duration (duration (§3.3.6)) ensures that this is true.

For purposes of this specification, the value spaces of primitive datatypes are disjoint, even in cases where the abstractions they represent might be thought of as having values in common.  In the order relations defined in this specification, values from different value spaces are ·incomparable·.  For example, the numbers two and three are values in both the decimal datatype and the float datatype.  In the order relation defined here, the two in the decimal datatype is not less than the three in the float datatype; the two values are incomparable.  Other applications making use of these datatypes may choose to consider values such as these comparable.

Note: Comparison of values from different ·primitive· datatypes can sometimes be an error and sometimes not, depending on context.
When made for purposes of checking an enumeration constraint, such a comparison is not in itself an error, but since no two values from different ·primitive· ·value spaces· are equal, any comparison of ·incomparable· values will invariably be false.
Specifying an upper or lower bound which is of the wrong primitive datatype (and therefore ·incomparable· with the values of the datatype it is supposed to restrict) is, by contrast, always an error. It is a consequence of the rules for ·facet-based restriction· that in conforming simple type definitions, the values of upper and lower bounds, and enumerated values, must be drawn from the value space of the ·base type·, which necessarily means from the same ·primitive· datatype.
Comparison of ·incomparable· values in the context of an XPath expression (e.g. in an assertion or in the rules for conditional type assignment) can raise a dynamic error in the evaluation of the XPath expression; see [XQuery 1.0 and XPath 2.0 Functions and Operators] for details.

previous sub-section next sub-section2.3 The Lexical Space and Lexical Mapping

[Definition:]  The lexical mapping for a datatype is a prescribed relation which maps from the ·lexical space· of the datatype into its ·value space·.

[Definition:]  The lexical space of a datatype is the prescribed set of strings which ·the lexical mapping· for that datatype maps to values of that datatype.

[Definition:]  The members of the ·lexical space· are lexical representations of the values to which they are mapped.

Note: For the ·special· datatypes, the ·lexical mappings· defined here map from the ·lexical space· into, but not onto, the ·value space·. The ·value spaces· of the ·special· datatypes include "ineffable" values for which the ·lexical mappings· defined in this specification provide no lexical representation.
For the ·primitive· and ·ordinary· atomic datatypes, the ·lexical mapping· is a (total) function on the entire ·lexical space· onto (not merely into) the ·value space·: every member of the ·lexical space· maps into the ·value space·, and every value is mapped to by some member of the ·lexical space·.
For ·union· datatypes, the ·lexical mapping· is not necessarily a function, since the same ·literal· may map to different values in different member types. For ·list· datatypes, the ·lexical mapping· is a function if and only if the ·lexical mapping· of the list's ·item type· is a function.

[Definition:]  A sequence of zero or more characters in the Universal Character Set (UCS) which may or may not prove upon inspection to be a member of the ·lexical space· of a given datatype and thus a ·lexical representation· of a given value in that datatype's ·value space·, is referred to as a literal. The term is used indifferently both for character sequences which are members of a particular ·lexical space· and for those which are not.

If a derivation introduces a ·pre-lexical· facet value (a new value for whiteSpace or an implementation-defined ·pre-lexical· facet), the corresponding ·pre-lexical· transformation of a character string, if indeed it changed that string, could prevent that string from ever having the ·lexical mapping· of the derived datatype applied to it.  Character strings that a ·pre-lexical· transformation blocks in this way (i.e., they are not in the range of the ·pre-lexical· facet's transformation) are always dropped from the derived datatype's ·lexical space·.

Note: One should be aware that in the context of XML schema-validity assessment, there are ·pre-lexical· transformations of the input character string (controlled by the whiteSpace facet and any implementation-defined ·pre-lexical· facets) which result in the intended ·literal·.  Systems other than XML schema-validity assessment utilizing this specification may or may not implement these transformations.  If they do not, then input character strings that would have been transformed into correct ·lexical representations·, when taken "raw", may not be correct ·lexical representations·.

Should a derivation be made using a derivation mechanism that removes ·lexical representations· from the·lexical space· to the extent that one or more values cease to have any ·lexical representation·, then those values are dropped from the ·value space·.

Note: This could happen by means of a pattern or other ·lexical· facet, or by a ·pre-lexical· facet as described above.

Conversely, should a derivation remove values then their ·lexical representations· are dropped from the ·lexical space· unless there is a facet value whose impact is defined to cause the otherwise-dropped ·lexical representation· to be mapped to another value instead.

Note: There are currently no facets with such an impact.  There may be in the future.

For example, '100' and '1.0E2' are two different ·lexical representations· from the float datatype which both denote the same value.  The datatype system defined in this specification provides mechanisms for schema designers to control the ·value space· and the corresponding set of acceptable ·lexical representations· of those values for a datatype.

2.3.1 Canonical Mapping

While the datatypes defined in this specification often have a single ·lexical representation· for each value (i.e., each value in the datatype's ·value space· is denoted by a single ·representation· in its ·lexical space·), this is not always the case.  The example in the previous section shows two ·lexical representations· from the float datatype which denote the same value.

[Definition:]  The canonical mapping is a prescribed subset of the inverse of a ·lexical mapping· which is one-to-one and whose domain (where possible) is the entire range of the ·lexical mapping· (the ·value space·).  Thus a ·canonical mapping· selects one ·lexical representation· for each value in the ·value space·.

[Definition:]  The canonical representation of a value in the ·value space· of a datatype is the ·lexical representation· associated with that value by the datatype's ·canonical mapping·.

·Canonical mappings· are not available for datatypes whose ·lexical mappings· are context dependent (i.e., mappings for which the value of a ·lexical representation· depends on the context in which it occurs, or for which a character string may or may not be a valid ·lexical representation· similarly depending on its context)

Note: ·Canonical representations· are provided where feasible for the use of other applications; they are not required for schema processing itself.  A conforming schema processor implementation is not required to implement ·canonical mappings·.

previous sub-section 2.4 Datatype Distinctions

        2.4.1 Atomic vs. List vs. Union Datatypes
            2.4.1.1 Atomic Datatypes
            2.4.1.2 List Datatypes
            2.4.1.3 Union datatypes
        2.4.2 Special vs. Primitive vs. Ordinary Datatypes
            2.4.2.1 Facet-based Restriction
            2.4.2.2 Construction by List
            2.4.2.3 Construction by Union
        2.4.3 Definition, Derivation, Restriction, and Construction
        2.4.4 Built-in vs. User-Defined Datatypes

It is useful to categorize the datatypes defined in this specification along various dimensions, defining terms which can be used to characterize datatypes and the Simple Type Definitions which define them.

2.4.1 Atomic vs. List vs. Union Datatypes

First, we distinguish ·atomic·, ·list·, and ·union· datatypes.

[Definition:]  An atomic value is an elementary value, not constructed from simpler values by any user-accessible means defined by this specification.

For example, a single token which ·matches· Nmtoken from [XML] is in the value space of the ·atomic· datatype NMTOKEN, while a sequence of such tokens is in the value space of the ·list· datatype NMTOKENS.

2.4.1.1 Atomic Datatypes

An ·atomic· datatype has a ·value space· consisting of a set of "atomic" or elementary values.

Note: Atomic values are sometimes regarded, and described, as "not decomposable", but in fact the values in several datatypes defined here are described with internal structure, which is appealed to in checking whether particular values satisfy various constraints (e.g. upper and lower bounds on a datatype). Other specifications which use the datatypes defined here may define operations which attribute internal structure to values and expose or act upon that structure.

The ·lexical space· of an ·atomic· datatype is a set of ·literals· whose internal structure is specific to the datatype in question.

There is one ·special· ·atomic· datatype (anyAtomicType), and a number of ·primitive· ·atomic· datatypes which have anyAtomicType as their ·base type·.  All other ·atomic· datatypes are ·derived· either from one of the ·primitive· ·atomic· datatypes or from another ·ordinary· ·atomic· datatype.  No ·user-defined· datatype may have anyAtomicType as its ·base type·.

2.4.1.2 List Datatypes

·List· datatypes are always ·constructed· from some other type; they are never ·primitive·. The ·value space· of a ·list· datatype is the set of finite-length sequences of zero or more ·atomic· values where each ·atomic· value is drawn from the ·value space· of the lists's ·item type· and has a ·lexical representation· containing no whitespace. The ·lexical space· of a ·list· datatype is a set of ·literals· each of which is a space-separated sequence of ·literals· of the ·item type·.

[Definition:]   The ·atomic· or ·union· datatype that participates in the definition of a ·list· datatype is the item type of that ·list· datatype.  If the ·item type· is a ·union·, each of its ·basic members· must be ·atomic·.

Example
<simpleType name='sizes'>
  <list itemType='decimal'/>
</simpleType>
<cerealSizes xsi:type='sizes'> 8 10.5 12 </cerealSizes>

A ·list· datatype can be ·constructed· from an ordinary or ·primitive· ·atomic· datatype whose ·lexical space· allows whitespace (such as string or anyURI) or a ·union· datatype any of whose {member type definitions}'s ·lexical space· allows space. Since ·list· items are separated at whitespace before the ·lexical representations· of the items are mapped to values, no whitespace will ever occur in the ·lexical representation· of a ·list· item, even when the item type would in principle allow it.  For the same reason, when every possible ·lexical representation· of a given value in the ·value space· of the ·item type· includes whitespace, that value can never occur as an item in any value of the ·list· datatype.

Example
<simpleType name='listOfString'>
  <list itemType='string'/>
</simpleType>
<someElement xsi:type='listOfString'>
this is not list item 1
this is not list item 2
this is not list item 3
</someElement>
In the above example, the value of the someElement element is not a ·list· of ·length· 3; rather, it is a ·list· of ·length· 18.

For each of ·length·, ·maxLength· and ·minLength·, the length is measured in number of list items.  The value of ·whiteSpace· is fixed to the value collapse.

For ·list· datatypes the ·lexical space· is composed of space-separated ·literals· of the ·item type·.  Any ·pattern· specified when a new datatype is ·derived· from a ·list· datatype applies to the members of the ·list· datatype's ·lexical space·, not to the members of the ·lexical space· of the ·item type·.  Similarly, enumerated values are compared to the entire ·list·, not to individual list items, and assertions apply to the entire ·list· too. Lists are identical if and only if they have the same length and their items are pairwise identical; they are equal if and only if they have the same length and their items are pairwise equal. And a list of length one whose item is an atomic value V1 is equal or identical to an atomic value V2 if and only if V1 is equal or identical to V2.

Example
<xs:simpleType name='myList'>
	<xs:list itemType='xs:integer'/>
</xs:simpleType>
<xs:simpleType name='myRestrictedList'>
	<xs:restriction base='myList'>
		<xs:pattern value='123 (\d+\s)*456'/>
	</xs:restriction>
</xs:simpleType>
<someElement xsi:type='myRestrictedList'>123 456</someElement>
<someElement xsi:type='myRestrictedList'>123 987 456</someElement>
<someElement xsi:type='myRestrictedList'>123 987 567 456</someElement>

The ·canonical mapping· of a ·list· datatype maps each value onto the space-separated concatenation of the ·canonical representations· of all the items in the value (in order), using the ·canonical mapping· of the ·item type·.

2.4.1.3 Union datatypes

Union types may be defined in either of two ways. When a union type is ·constructed· by ·union·, its ·value space·, ·lexical space·, and ·lexical mapping· are the "ordered unions" of the ·value spaces·, ·lexical spaces·, and ·lexical mappings· of its ·member types·.

It will be observed that the ·lexical mapping· of a union, so defined, is not necessarily a function: a given ·literal· may map to one value or to several values of different ·primitive· datatypes, and it may be indeterminate which value is to be preferred in a particular context. When the datatypes defined here are used in the context of [XSD 1.1 Part 1: Structures], the xsi:type attribute defined by that specification in section xsi:type can be used to indicate which value a ·literal· which is the content of an element should map to. In other contexts, other rules (such as type coercion rules) may be employed to determine which value is to be used.

When a union type is defined by ·restricting· another ·union·, its ·value space·, ·lexical space·, and ·lexical mapping· are subsets of the ·value spaces·, ·lexical spaces·, and ·lexical mappings· of its ·base type·.

·Union· datatypes are always ·constructed· from other datatypes; they are never ·primitive·. Currently, there are no ·built-in· ·union· datatypes.

Example
A prototypical example of a ·union· type is the maxOccurs attribute on the element element in XML Schema itself: it is a union of nonNegativeInteger and an enumeration with the single member, the string "unbounded", as shown below.
  <attributeGroup name="occurs">
    <attribute name="minOccurs" type="nonNegativeInteger"
    	use="optional" default="1"/>
    <attribute name="maxOccurs"use="optional" default="1">
      <simpleType>
        <union>
          <simpleType>
            <restriction base='nonNegativeInteger'/>
          </simpleType>
          <simpleType>
            <restriction base='string'>
              <enumeration value='unbounded'/>
            </restriction>
          </simpleType>
        </union>
      </simpleType>
    </attribute>
  </attributeGroup>

Any number (zero or more) of ordinary or ·primitive· ·datatypes· can participate in a ·union· type.

[Definition:]   The datatypes that participate in the definition of a ·union· datatype are known as the member types of that ·union· datatype.

Note: When datatypes are represented using XSD schema components, as described in Datatype components (§4), the member types of a union are those simple type definitions given in the {member type definitions} property.

[Definition:]  The transitive membership of a ·union· is the set of its own ·member types·, and the ·member types· of its members, and so on. More formally, if U is a ·union·, then (a) its ·member types· are in the transitive membership of U, and (b) for any datatypes T1 and T2, if T1 is in the transitive membership of U and T2 is one of the ·member types· of T1, then T2 is also in the transitive membership of U.

The ·transitive membership· of a ·union· must not contain the ·union· itself, nor any datatype ·derived· or ·constructed· from the ·union·.

[Definition:]  Those members of the ·transitive membership· of a ·union· datatype U which are themselves not ·union· datatypes are the basic members of U.

[Definition:]  If a datatype M is in the ·transitive membership· of a ·union· datatype U, but not one of U's ·member types·, then a sequence of one or more ·union· datatypes necessarily exists, such that the first is one of the ·member types· of U, each is one of the ·member types· of its predecessor in the sequence, and M is one of the ·member types· of the last in the sequence. The ·union· datatypes in this sequence are said to intervene between M and U. When U and M are given by the context, the datatypes in the sequence are referred to as the intervening unions. When M is one of the ·member types· of U, the set of intervening unions is the empty set.

[Definition:]  In a valid instance of any ·union·, the first of its members in order which accepts the instance as valid is the active member type. [Definition:]  If the ·active member type· is itself a ·union·, one of its members will be its ·active member type·, and so on, until finally a ·basic (non-union) member· is reached. That ·basic member· is the active basic member of the union.

The order in which the ·member types· are specified in the definition (that is, in the case of datatypes defined in a schema document, the order of the <simpleType> children of the <union> element, or the order of the QNames in the memberTypes attribute) is significant. During validation, an element or attribute's value is validated against the ·member types· in the order in which they appear in the definition until a match is found.  As noted above, the evaluation order can be overridden with the use of xsi:type.

Example
For example, given the definition below, the first instance of the <size> element validates correctly as an integer (§3.4.13), the second and third as string (§3.3.1).
  <xs:element name='size'>
    <xs:simpleType>
      <xs:union>
        <xs:simpleType>
          <xs:restriction base='integer'/>
        </xs:simpleType>
        <xs:simpleType>
          <xs:restriction base='string'/>
        </xs:simpleType>
      </xs:union>
    </xs:simpleType>
  </xs:element>
  <size>1</size>
  <size>large</size>
  <size xsi:type='xs:string'>1</size>

The ·canonical mapping· of a ·union· datatype maps each value onto the ·canonical representation· of that value obtained using the ·canonical mapping· of the first ·member type· in whose value space it lies.

2.4.2 Special vs. Primitive vs. Ordinary Datatypes

Next, we distinguish ·special·, ·primitive·, and ·ordinary· (or ·constructed·) datatypes.  Each datatype defined by or in accordance with this specification falls into exactly one of these categories.

For example, in this specification, float is a ·primitive· datatype based on a well-defined mathematical concept and not defined in terms of other datatypes, while integer is ·constructed· from the more general datatype decimal.

2.4.2.1 Facet-based Restriction

[Definition:]  A datatype is defined by facet-based restriction of another datatype (its ·base type·), when values for zero or more ·constraining facets· are specified that serve to constrain its ·value space· and/or its ·lexical space· to a subset of those of the ·base type·. The ·base type· of a ·facet-based restriction· must be a ·primitive· or ·ordinary· datatype.

2.4.2.2 Construction by List

A ·list· datatype can be ·constructed· from another datatype (its ·item type·) by creating a ·value space· that consists of finite-length sequences of zero or more values of its ·item type·. Datatypes so ·constructed· have anySimpleType as their ·base type·. Note that since the ·value space· and ·lexical space· of any ·list· datatype are necessarily subsets of the ·value space· and ·lexical space· of anySimpleType, any datatype ·constructed· as a ·list· is a ·restriction· of its base type.

2.4.2.3 Construction by Union

One datatype can be ·constructed· from one or more datatypes by unioning their ·lexical mappings· and, consequently, their ·value spaces· and ·lexical spaces·.  Datatypes so ·constructed· also have anySimpleType as their ·base type·. Note that since the ·value space· and ·lexical space· of any ·union· datatype are necessarily subsets of the ·value space· and ·lexical space· of anySimpleType, any datatype ·constructed· as a ·union· is a ·restriction· of its base type.

2.4.3 Definition, Derivation, Restriction, and Construction

Definition, derivation, restriction, and construction are conceptually distinct, although in practice they are frequently performed by the same mechanisms.

By 'definition' is meant the explicit identification of the relevant properties of a datatype, in particular its ·value space·, ·lexical space·, and ·lexical mapping·.

The properties of the ·special· and the standard ·primitive· datatypes are defined by this specification. A Simple Type Definition is present for each of these datatypes in every valid schema; it serves as a representation of the datatype, but by itself it does not capture all the relevant information and does not suffice (without knowledge of this specification) to define the datatype.

Note: The properties of any ·implementation-defined· ·primitive· datatypes are given not here but in the documentation for the implementation in question. Alternatively, a primitive datatype not specified in this document can be specified in a document of its own not tied to a particular implementation; [Precision Decimal] is an example of such a document.

For all other datatypes, a Simple Type Definition does suffice. The properties of an ·ordinary· datatype can be inferred from the datatype's Simple Type Definition and the properties of the ·base type·, ·item type· if any, and ·member types· if any. All ·ordinary· datatypes can be defined in this way.

By 'derivation' is meant the relation of a datatype to its ·base type·, or to the ·base type· of its ·base type·, and so on.

Every datatype other than anySimpleType is associated with another datatype, its base type. Base types can be ·special·, ·primitive·, or ·ordinary·.

[Definition:]  A datatype T is immediately derived from another datatype X if and only if X is the ·base type· of T.

Note: The above does not preclude the Simple Type Definition for anySimpleType from having a value for its {base type definition}.  (It does, and its value is anyType.)
More generally,
A datatype R is derived from another datatype B if and only if one of the following is true:

A datatype must not be ·derived· from itself. That is, the base type relation must be acyclic.

It is a consequence of the above that every datatype other than anySimpleType is ·derived· from anySimpleType.

Since each datatype has exactly one ·base type·, and every datatype other than anySimpleType is ·derived· directly or indirectly from anySimpleType, it follows that the ·base type· relation arranges all simple types into a tree structure, which is conventionally referred to as the derivation hierarchy.

By 'restriction' is meant the definition of a datatype whose ·value space· and ·lexical space· are subsets of those of its ·base type·.

Formally, A datatype R is a restriction of another datatype B when

Note that all three forms of datatype ·construction· produce ·restrictions· of the ·base type·: ·facet-based restriction· does so by means of ·constraining facets·, while ·construction· by ·list· or ·union· does so because those ·constructions· take anySimpleType as the ·base type·. It follows that all datatypes are ·restrictions· of anySimpleType. This specification provides no means by which a datatype may be defined so as to have a larger ·lexical space· or ·value space· than its ·base type·.

By 'construction' is meant the creation of a datatype by defining it in terms of another.

[Definition:]  All ·ordinary· datatypes are defined in terms of, or constructed from, other datatypes, either by ·restricting· the ·value space· or ·lexical space· of a ·base type· using zero or more ·constraining facets· or by specifying the new datatype as a ·list· of items of some ·item type·, or by defining it as a ·union· of some specified sequence of ·member types·. These three forms of ·construction· are often called "·facet-based restriction·", "·construction· by ·list·", and "·construction· by ·union·", respectively. Datatypes so constructed may be understood fully (for purposes of a type system) in terms of (a) the properties of the datatype(s) from which they are constructed, and (b) their Simple Type Definition. This distinguishes ·ordinary· datatypes from the ·special· and ·primitive· datatypes, which can be understood only in the light of documentation (namely, their descriptions elsewhere in this specification, or, for ·implementation-defined· ·primitives·, in the appropriate implementation-specific documentation). All ·ordinary· datatypes are ·constructed·, and all ·constructed· datatypes are ·ordinary·.

2.4.4 Built-in vs. User-Defined Datatypes

The ·built-in· datatypes are intended to be available automatically whenever this specification is implemented or used, whether by itself or embedded in a host language. In the language defined by [XSD 1.1 Part 1: Structures], the ·built-in· datatypes are automatically included in every valid schema. Other host languages should specify that all of the datatypes decribed here as built-ins are automatically available; they may specify that additional datatypes are also made available automatically.

Note: ·Implementation-defined· datatypes, whether ·primitive· or ·ordinary·, may sometimes be included automatically in any schemas processed by that implementation; nevertheless, they are not built in to every schema, and are thus not included in the term 'built-in', as that term is used in this specification.

The mechanism for making ·user-defined· datatypes available for use is not defined in this specification; if ·user-defined· datatypes are to be available, some such mechanism must be specified by the host language.

[Definition:]  A datatype which is not available for use is said to be unknown.

Note: From the schema author's perspective, a reference to a datatype which proves to be ·unknown· might reflect any of the following causes, or others:
1 An error has been made in giving the name of the datatype.
2 The datatype is a ·user-defined· datatype which has not been made available using the means defined by the host language (e.g. because the appropriate schema document has not been consulted).
3 The datatype is an ·implementation-defined· ·primitive· datatype not supported by the implementation being used.
4 The datatype is an ·implementation-defined· ·ordinary· datatype which is made automatically available by some implementations, but not by the implementation being used.
5 The datatype is a ·user-defined· ·ordinary· datatype whose base type is ·unknown·
From the point of view of the implementation, these cases are likely to be indistinguishable.
Note: In the terminology of [XSD 1.1 Part 1: Structures], the datatypes here called ·unknown· are referred to as absent.

Conceptually there is no difference between the ·ordinary· ·built-in· datatypes included in this specification and the ·user-defined· datatypes which will be created by individual schema designers. The ·built-in· ·constructed· datatypes are those which are believed to be so common that if they were not defined in this specification many schema designers would end up reinventing them.  Furthermore, including these ·constructed· datatypes in this specification serves to demonstrate the mechanics and utility of the datatype generation facilities of this specification.

3 Built-in Datatypes and Their Definitions

Built-in Datatype Hierarchy diagram

Diagram showing the derivation relations in the built-in type hierarchy. (A long description of the diagram is available separately.)

anyType all complex types anySimpleType anyAtomicType anyURI base64Binary boolean date dateTime dateTimeStamp decimal integer long int short byte nonNegativeInteger positiveInteger unsignedLong unsignedInt unsignedShort unsignedByte nonPositiveInteger negativeInteger double duration dayTimeDuration yearMonthDuration float gDay gMonth gMonthDay gYear gYearMonth hexBinary NOTATION QName string normalizedString token language Name NCName ENTITY ID IDREF NMTOKEN time ENTITIES IDREFS NMTOKENS
Each built-in datatype defined in this specification can be uniquely addressed via a URI Reference constructed as follows:
  1. the base URI is the URI of the XML Schema namespace
  2. the fragment identifier is the name of the datatype
For example, to address the int datatype, the URI is:
  • http://www.w3.org/2001/XMLSchema#int
Additionally, each facet definition element can be uniquely addressed via a URI constructed as follows:
  1. the base URI is the URI of the XML Schema namespace
  2. the fragment identifier is the name of the facet
For example, to address the maxInclusive facet, the URI is:
  • http://www.w3.org/2001/XMLSchema#maxInclusive
Additionally, each facet usage in a built-in Simple Type Definition can be uniquely addressed via a URI constructed as follows:
  1. the base URI is the URI of the XML Schema namespace
  2. the fragment identifier is the name of the Simple Type Definition, followed by a period ('.') followed by the name of the facet
For example, to address the usage of the maxInclusive facet in the definition of int, the URI is:
  • http://www.w3.org/2001/XMLSchema#int.maxInclusive

next sub-section3.1 Namespace considerations

The ·built-in· datatypes defined by this specification are designed to be used with the XML Schema definition language as well as other XML specifications. To facilitate usage within the XML Schema definition language, the ·built-in· datatypes in this specification have the namespace name:

  • http://www.w3.org/2001/XMLSchema

To facilitate usage in specifications other than the XML Schema definition language, such as those that do not want to know anything about aspects of the XML Schema definition language other than the datatypes, each ·built-in· datatype is also defined in the namespace whose URI is:

  • http://www.w3.org/2001/XMLSchema-datatypes

Each ·user-defined· datatype may also be associated with a target namespace.  If it is constructed from a schema document, then its namespace is typically the target namespace of that schema document. (See XML Representation of Schemas in [XSD 1.1 Part 1: Structures].)

previous sub-section next sub-section3.2 Special Built-in Datatypes

        3.2.1 anySimpleType
            3.2.1.1 Value space
            3.2.1.2 Lexical mapping
            3.2.1.3 Facets
        3.2.2 anyAtomicType
            3.2.2.1 Value space
            3.2.2.2 Lexical mapping
            3.2.2.3 Facets

The two datatypes at the root of the hierarchy of simple types are anySimpleType and anyAtomicType.

3.2.1 anySimpleType

The definition of anySimpleType is a special ·restriction· of anyType.  The ·lexical space· of anySimpleType is the set of all sequences of Unicode characters, and its ·value space· includes all ·atomic values· and all finite-length lists of zero or more ·atomic values·.

For further details of anySimpleType and its representation as a Simple Type Definition, see Built-in Simple Type Definitions (§4.1.6).

3.2.1.1 Value space

The ·value space· of anySimpleType is the set of all ·atomic values· and of all finite-length lists of zero or more ·atomic values·.

Note: It is a consequence of this definition, together with the definition of the ·lexical mapping· in the next section, that some values of this datatype have no ·lexical representation· using the ·lexical mappings· defined by this specification. That is, the "potential" ·value space· and the "effable" or "nameable" ·value space· diverge for this datatype. As far as this specification is concerned, there is no operational difference between the potential and effable ·value spaces· and the distinction is of mostly formal interest. Since some host languages for the type system defined here may allow means of construction values other than mapping from a ·lexical representation·, the difference may have practical importance in some contexts. In those contexts, the term ·value space· should unless otherwise qualified be taken to mean the potential ·value space·.
3.2.1.2 Lexical mapping

The ·lexical space· of anySimpleType is the set of all finite-length sequences of zero or more characters (as defined in [XML]) that ·match· the Char production from [XML]. This is equivalent to the union of the ·lexical spaces· of all ·primitive· and all possible ·ordinary· datatypes.

It is ·implementation-defined· whether an implementation of this specification supports the