W3C

XML Schema 1.1 Part 2: Datatypes

W3C Working Draft 16 January 2006

This version:
http://www.w3.org/TR/2006/WD-xmlschema11-2-20060116/
Latest version:
http://www.w3.org/TR/xmlschema11-2/
Previous versions:
http://www.w3.org/TR/2005/WD-xmlschema11-2-20050224/ http://www.w3.org/TR/2004/WD-xmlschema11-2-20040716/
Editors:
David Peterson, invited expert (SGMLWorks!) <davep@iit.edu>
Paul V. Biron, Kaiser Permanente, for Health Level Seven <Paul.V.Biron@kp.org>
Ashok Malhotra, Oracle Corporation <ashokmalhotra@alum.mit.edu>
C. M. Sperberg-McQueen, World Wide Web Consortium <cmsmcq@w3.org>

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, A schema for built-in datatypes only, in a separate namespace, 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 1.0, provides a superset of the capabilities found in XML 1.0 document type definitions (DTDs) for specifying datatypes on elements and attributes.

Issue (RQ-152i):RQ-152 (xml1.1)

How should this specification be aligned with XML 1.1? The changes in character set and name characters, and the question of what determines which ones to use, must be addressed.

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 is a Public Working Draft of XML Schema 1.1. It is here made available for review by W3C members and the public. It is intended to give an indication of the W3C XML Schema Working Group's intentions for this new version of the XML Schema language and our progress in achieving them. It attempts to be complete in indicating what will change from version 1.0, but does not specify in all cases how things will change.

For those primarily interested in the changes since version 1.0, the Changes since version 1.0 (§H) appendix, which summarizes both changes already made and also those in prospect, with links to the relevant sections of this draft, 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.

The major changes since the previous Working Draft are:

Other major changes since version 1.0 include:

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) Each Bugzilla entry and email message should contain only one comment.

Publication as a Working Draft does not imply endorsement by the W3C Membership. This is a draft document and may be updated, replaced or obsoleted by other documents at any time. It is inappropriate to cite this document as other than work in progress.

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.

Patent disclosures relevant to this specification may be found on the Working Group's Patent disclosure page in conformance with the W3C Patent Policy of 5 February 2004. An individual who has actual knowledge of a patent which the individual believes contains Essential Claim(s) with respect to this specification should 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 Requirements
    1.4 Scope
    1.5 Terminology
    1.6 Constraints and Contributions
2 Datatype System
    2.1 Datatype
    2.2 Value space
    2.3 The Lexical Space and Lexical Mapping
    2.4 Datatype Distinctions
3 Built-in Datatypes and Their Definitions
    3.1 Namespace considerations
    3.2 Special Built-in Datatypes
    3.3 Primitive Datatypes
    3.4 Other Built-in Datatypes
4 Datatype components
    4.1 Simple Type Definition
    4.2 Fundamental Facets
    4.3 Constraining Facets
5 Conformance

Appendices

A Schema for Schema Documents (Datatypes) (normative)
B DTD for Datatype Definitions (non-normative)
C Temporary Stuff (to be added elsewhere)
D Built-up Value Spaces
    D.1 Numerical Values
    D.2 Date/time Values
E Function Definitions
    E.1 Generic Number-related Functions
    E.2 -related Definitions
    E.3 Date/time-related Definitions
    E.4 Lexical and Canonical Mappings for Other Datatypes
F Datatypes and Facets
    F.1 Fundamental Facets
G Regular Expressions
    G.1 Character Classes
H Changes since version 1.0
    H.1 Changes Already Made
    H.2 Specific Outstanding Issues
I Glossary (non-normative)
J References
    J.1 Normative
    J.2 Non-normative
K Acknowledgements (non-normative)


1 Introduction

Issue (RQ-21i):RQ-21 (regex/BNF for all primitive types)

Current plan is that all datatypes defined herein will have EBNF productions at least approximately defining their lexical space, and will include a nonnormative regex derived from the EBNF if a user wishes to copy it directly.

Issue (RQ-24-2i):RQ-24 (systematic facets: canonical representations for all datatypes)

It is not possible for all datatypes to have canonical representations of all values without violating the rules of derivation or adding special-purpose constraining facets which the WG does not deem appropriate.  The WG has not yet decided how to deal with datatypes whose lexical and/or canonical mappings are context sensitive.

Issue (RQ-148i):RQ-148 (clarify use of "truncation)

The word will probably be removed.

Issue (RQ-120i):RQ-120 (consistent use of "derived)

"Derivations" other than "derivations by restriction" will be renamed "constructions".

next sub-section1.1 Introduction to Version 1.1

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

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

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 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-section1.4 Scope

This portion of the XML Schema Language discusses 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-section1.5 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]
Conforming documents and processors are permitted to but need not behave as described.
(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.
Conforming documents and processors are required to behave as described; otherwise they are in ·error·.
A violation of the rules of this specification; results are undefined. Conforming software ·may· detect and report an error and ·may· recover from it.

previous sub-section 1.6 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 754-1985] 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, restricts the ·lexical space· directly. When more than one lexical representation is provided for a given value, the ·pattern· facet 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.

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 datatype is denoted by one or more character strings in its ·lexical space·, according to ·the lexical mapping·.  (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, equality, and order are required for each value space.  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.  The identity relation is used when making ·facet-based restrictions· by enumeration, when checking identity constraints, and when checking value constraints.  These are the only uses of identity for schema processing.

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 is in the value space, and each is mapped to the nearest value, namely 0.100000001490116119384765625), but map to distinct values in decimal.

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 <> NaN in the precisionDecimal, float, and double datatypes.

The equality relation is used in conjunction with order when making ·facet-based restrictions· involving order.  This is the only use of equality for schema processing.

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 timezone information in the ·lexical representation· as the value was converted to ·UTC·; now the timezone is retained and two values representing the same "moment in time" but with different remembered timezones 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 (and must do so if they choose to consider them identical); nonetheless, in the equality relation defined herein, they are unequal.

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

Each datatype has an order relation prescribed. 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, the prescribed order is the "null order":  the ultimate partial order, in which no pairs are less-than or greater-than; they are all 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 order for schema processing.

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 (§3.3.7)) insures that this is true.

The value spaces of primitive datatypes are abstractions, which may have values in common.  In the order relation defined herein, these value spaces are made artificially ·incomparable·.  For example, the numbers two and three are values in both the precisionDecimal datatype and the float datatype.  In the order relation defined herein, two in the decimal datatype and three in the float datatype are incomparable values.  Other applications making use of these datatypes may choose to consider values such as these comparable.

While it is not an error to attempt to compare values from the value spaces of two different primitive datatypes, they will alway be ·incomparable· and therefore unequal:  If x and y are in the value spaces of different primitive datatypes then  x <> y  (and hence  x ≠ y ).

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

[Definition:]  The lexical mapping for a datatype is a prescribed function whose domain is a prescribed set of character strings (the ·lexical space·) and whose range is the ·value space· of that datatype.

[Definition:]  The lexical space of a datatype is the prescribed domain of ·the lexical mapping· for that datatype.

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

[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.

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 facet.

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

Issue (RQ-129i):RQ-129 (remove dependency on canonical representations)

The dependencies are in Part 1; they will be resolved there.  Text in this Part will reflect that canonical representation are provided for the benefit of other users, including other specifications that might want to reference these datatypes.

Issue (RQ-126i):RQ-126 (restricting away canonical representations)

Given the "pattern" constraining facet, restricting away canonical representations cannot be prohibited without undue processing expense.  A warning will be inserted, and RQ-129 will insure that loss of canonical representations will not affect schema processing.

While the datatypes defined in this specification generally 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 appilications; 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

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.

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" values which for purposes of this specification are not further decomposable.  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

Several type systems (such as the one described in [ISO 11404]) treat ·list· datatypes as special cases of the more general notions of aggregate or collection datatypes.

·List· datatypes are always ·constructed· from some other type; they are never ·primitive·. The ·value space· of a ·list· datatype is a set of finite-length sequences of ·atomic· values. 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 ·member types· 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 space (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.

When a datatype is ·derived· by ·restricting· a ·list· datatype, the following ·constraining facet·s apply:

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·.

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

The ·value space· and ·lexical space· of a ·union· datatype are the union of the ·value spaces· and ·lexical spaces· of its ·member types·. ·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 (greater than 0) of ordinary or ·primitive· ·atomic· or ·list· ·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.

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.  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).
  <xsd:element name='size'>
    <xsd:simpleType>
      <xsd:union>
        <xsd:simpleType>
          <xsd:restriction base='integer'/>
        </xsd:simpleType>
        <xsd:simpleType>
          <xsd:restriction base='string'/>
        </xsd:simpleType>
      </xsd:union>
    </xsd:simpleType>
  </xsd:element>
  <size>1</size>
  <size>large</size>
  <size xsi:type='xsd: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.

Note: A datatype which is ·atomic· in this specification need not be an "atomic" datatype in any programming language used to implement this specification.  Likewise, a datatype which is a ·list· in this specification need not be a "list" datatype in any programming language used to implement this specification. Furthermore, a datatype which is a ·union· in this specification need not be a "union" datatype in any programming language used to implement this specification.

2.4.2 Special vs. Primitive vs. Ordinary Datatypes

Next, we distinguish ·special·, ·primitive·, and ·ordinary· (or ·constructed·) datatypes.

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.

Editorial Note: The definition of anySimpleType has not been deleted, only moved to a more appropriate location.

The datatypes defined by this specification fall into the categories ·special·, ·primitive·, and ·ordinary·.  It is felt that a judiciously chosen set of ·primitive· datatypes will serve a wide audience by providing a set of convenient datatypes that can be used as is, as well as providing a rich enough base from which a large variety of datatypes needed by schema designers can be ·constructed·.

Note: A datatype which is ·primitive· in this specification need not be a "primitive" datatype in any programming language used to implement this specification.  Likewise, a datatype which is ·constructed· in this specification from some other datatype need not be a "derived" datatype in any programming language used to implement this specification.
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 facet·s 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 a finite-length sequence of 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 ·value space·s and, consequently, their ·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 ·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.

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.

[Definition:]  Every datatype 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.

More generally, [Definition:]  A datatype R is derived from another datatype B if and only if one of the following is true:

It is a consequence of these definitions that every datatype other than anySimpleType is ·derived· from anySimpleType.

Since each datatype has exactly one ·base type·, and every datatype 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, [Definition:]  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). All ·ordinary· datatypes are ·constructed·, and all ·constructed· datatypes are ·ordinary·.

2.4.4 Built-in vs. User-Defined Datatypes

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.

Note:  A datatype which is ·built-in· in this specification need not be a built-in datatype in any programming language used to implement this specification.  Likewise, a datatype which is ·user-defined· in this specification need not be a user-defined datatype in any programming language used to implement this specification.

3 Built-in Datatypes and Their Definitions

Built-in Datatype Hierarchy diagramanyType anyType anySimpleType anySimpleType string string precisionDecimal precisionDecimal hexBinary hexBinary anyAtomicType anyAtomicType ENTITY ENTITY ENTITIES ENTITIES ID ID IDREFS IDREFS IDREF IDREF Name Name NCName NCName NMTOKEN NMTOKEN NMTOKENS NMTOKENS language language token token normalizedString normalizedString float float double double unsignedByte unsignedByte unsignedShort unsignedShort unsignedInt unsignedInt unsignedLong unsignedLong positiveInteger positiveInteger byte byte short short int int negativeInteger negativeInteger nonPositiveInteger nonPositiveInteger long long nonNegativeInteger nonNegativeInteger integer integer decimal decimal gMonth gMonth gDay gDay gMonthDay gMonthDay gYear gYear gYearMonth gYearMonth date date time time dateTime dateTime duration duration NOTATION NOTATION QName QName anyURI anyURI base64Binary base64Binary boolean boolean

Each built-in datatype 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:

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:

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:

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

This applies to all ·built-in· datatypes, whether ·special·, ·primitive·, or ·ordinary·.

Each ·user-defined· datatype is also associated with a unique namespace.  However, ·user-defined· datatypes do not come from the namespace defined by this specification; rather, they come from the namespace of the schema in which they are defined (see XML Representation of Schemas in [XML Schema Part 1: Structures]).

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

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

3.2.1 anySimpleType

[Definition:]   The definition of anySimpleType is a special ·restriction· of anyTypeanySimpleType has an unconstrained ·lexical space·, a ·value space· consisting of the union of the ·value spaces· of all the ·primitive· datatypes and the set of all lists of all members of the ·value space·s of all the ·primitive· datatypes.

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

3.2.2 anyAtomicType

[Definition:]   anyAtomicType is a special ·restriction· of anySimpleType. The ·value· and ·lexical spaces· of anyAtomicType are the unions of the ·value· and ·lexical spaces· of all the ·primitive· datatypes, and anyAtomicType is their ·base type·.

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

previous sub-section next sub-section3.3 Primitive Datatypes

        3.3.1 string
        3.3.2 boolean
        3.3.3 decimal
        3.3.4 precisionDecimal
        3.3.5 float
        3.3.6 double
        3.3.7 duration
        3.3.8 dateTime
        3.3.9 time
        3.3.10 date
        3.3.11 gYearMonth
        3.3.12 gYear
        3.3.13 gMonthDay
        3.3.14 gDay
        3.3.15 gMonth
        3.3.16 hexBinary
        3.3.17 base64Binary
        3.3.18 anyURI
        3.3.19 QName
        3.3.20 NOTATION

The ·primitive· datatypes defined by this specification are described below.  For each datatype, the ·value space· is described; the ·lexical space· is defined using an extended Backus Naur Format grammar (and in most cases also a regular expression using the regular expression language of Regular Expressions (§G)); ·constraining facet·s which apply to the datatype are listed; and any datatypes ·constructed· from this datatype are specified.

·Primitive· datatypes can only be added by revisions to this specification.

3.3.1 string

[Definition:]  The string datatype represents character strings in XML.

Note: Many human languages have writing systems that require child elements for control of aspects such as bidirectional formatting or ruby annotation (see [Ruby] and Section 8.2.4 Overriding the bidirectional algorithm: the BDO element of [HTML 4.01]).  Thus, string, as a simple type that can contain only characters but not child elements, is often not suitable for representing text. In such situations, a complex type that allows mixed content should be considered. For more information, see Section 5.5 Any Element, Any Attribute of [XML Schema Language: Part 0 Primer].
3.3.1.1 Value Space

The ·value space· of string is the set of finite-length sequences of characters (as defined in [XML]) that ·match· the Char production from [XML]. A character is an atomic unit of communication; it is not further specified except to note that every character has a corresponding Universal Character Set (UCS) code point, which is an integer.

Equality for string is identity. No order is prescribed.

Note: As noted in ordered, the fact that this specification does not specify an order relation for ·string· does not preclude other applications from treating strings as being ordered.
3.3.1.2 Lexical Mapping

The ·lexical space· of string is the set of finite-length sequences of characters (as defined in [XML]) that ·match· the Char production from [XML].

Lexical Space
stringRep ::= Char(as defined in [XML])

The lexical mapping for string is ·stringLexicalMap·, and the canonical mapping is ·stringCanonicalMap·; each is a subset of the identity function.

3.3.1.3 Facets

string has the following ·constraining facets·:

string has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from string may also specify values for the following·constraining facets·:

string has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.2 boolean

[Definition:]  boolean represents the values of two-valued logic.

3.3.2.1 Value Space

boolean has the ·value space· of two-valued logic:  {true, false}.

3.3.2.3 Facets

boolean has the following ·constraining facets·:

boolean and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from boolean may also specify values for the following·constraining facets·:

boolean has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = finite
  • numeric = false

3.3.3 decimal

Issue (RQ-150i):RQ-150 (minimum number of digits for decimal)

The minimum number of digits implementations are required to support will be lowered to 16 digits; a health warning will be added to note that implementations of derived datatypes may support more digits of precision than the base decimal type does, but that they are not required to do so.

[Definition:]  decimal represents a subset of the real numbers, which can be represented by decimal numerals. The ·value space· of decimal is the set of numbers that can be obtained by dividing an integer by a non-negative power of ten, i.e., expressible as i / 10n where i and n are integers and n ≥ 0. Precision is not reflected in this value space; the number 2.0 is not distinct from the number 2.00. (The datatype precisionDecimal may be used for values in which precision is significant.) The order relation on decimal is the order relation on real numbers, restricted to this subset.

Note: All ·minimally conforming· processors ·must· support decimal numbers with a minimum of 16 decimal digits (i.e., of 18they must support all values which would be allowed by a Simple Type Definition which set totalDigits to 16).  However, ·minimally conforming· processors ·may· set an application-defined limit on the maximum number of decimal digits they are prepared to support, in which case that application-defined maximum number ·must· be clearly documented.
3.3.3.1 Lexical Mapping

decimal has a lexical representation consisting of a finite-length sequence of decimal digits (#x30–#x39) separated by a period as a decimal indicator.  An optional leading sign is allowed.  If the sign is omitted, "+" is assumed.  Leading and trailing zeroes are optional.  If the fractional part is zero, the period and following zero(es) can be omitted. For example:  -1.23, 12678967.543233, +100000.00, 210.

The lexical space of decimal is the set of lexical representations which match the grammar given above, or (equivalently) the regular expression '-?(([0-9]+(.[0-9]*)?)|(.[0-9]+))'.

The mapping from lexical representations to values is the usual one for decimal numerals; it is given formally in ·decimalLexicalMap·.

The mapping from values to canonical representations is given formally in ·decimalCanonicalMap·.

3.3.3.2 Canonical representation

The canonical representation for decimal is defined by prohibiting certain options from the Lexical Mapping (§3.3.3.1).  Specifically, the preceding optional "+" sign is prohibited.  The decimal point is required.  Leading and trailing zeroes are prohibited subject to the following:  there must be at least one digit to the right and to the left of the decimal point which may be a zero.

The mapping from values to canonical representations is given formally in ·decimalCanonicalMap·.

3.3.3.3 Facets

decimal has the following ·constraining facets·:

decimal and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from decimal may also specify values for the following·constraining facets·:

decimal has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.3.4 precisionDecimal

[Definition:]  The precisionDecimal datatype represents the numeric value and (arithmetic) precision of decimal numbers which retain precision; it also includes special values for positive and negative infinity and "not a number", and it differentiates between "positive zero" and "negative zero".  The special values are introduced to make the datatype correspond closely to the floating-point decimal datatypes described by the forthcoming revision of IEEE/ANSI 754.

Precision is sometimes given in absolute, sometimes in relative terms. [Definition:]  The arithmetic precision of a value is expressed in absolute quantitative terms, by indicating how many digits to the right of the decimal point are significant. "5" has an arithmetic precision of 0, and "5.01" an arithmetic precision of 2.

All ·minimally conforming· processors must support all precisionDecimal values in the ·value space· of the otherwise unconstrained ·derived· datatype for which totalDigits is set to sixteen, maxScale to 369, and minScale to −398.

Note: Note: The conformance limits given in the text correspond to those of the decimal64 type defined in the current draft of IEEE 754R, which can be stored in a 64-bit field. The XML Schema Working Group recommends that implementors support limits corresponding to those of the decimal128 type. This entails supporting the values in the value space of the otherwise unconstrained datatype for which totalDigits is set to 34, maxScale to 6176, and minScale to −6111.
Note: The XML Schema Working Group requests feedback from implementors and users of XML Schema concerning the minimum and recommended implementation limits for precisionDecimal. If other limits, larger or smaller, would make this dataytpe more attractive to users or implementors, please let us know.
3.3.4.1 Value Space
a decimal number, positiveInfinity, negativeInfinity or notANumber
an integer or absent; absent if and only if ·numericalValue· is a constant.
positive, negative, or absent; must be positive if ·numericalValue· is positive or positiveInfinity, must be negative if ·numericalValue· is negative or negativeInfinity, must be absent if and only if ·numericalValue· is notANumber
Note: The ·sign· property is redundant except when ·numericalValue· is zero; in other cases, the ·sign· value is fully determined by the ·numericalValue· value.
Note: As explained below, the lexical representation of the precisionDecimal value object whose ·numericalValue· is notANumber is 'NaN'.  Accordingly, in English text we use 'NaN' to refer to that value.  Similarly we use 'INF' and '−INF' to refer to the two value objects whose ·numericalValue· is positiveInfinity and negativeInfinity.  These three value objects are also informally called "not-a-number", "positive infinity", and "negative infinity". The latter two together are called "the infinities".

Equality and order for precisionDecimal are defined as follows:

  • Two numerical precisionDecimal values are ordered (or equal) as their ·numericalValue· values are ordered (or equal).  (This means that two zeros with different ·sign·s are equal; negative zeros are not ordered less than positive zeros.)
  • INF is equal only to itself, and is greater than −INF and all numerical precisionDecimal values.
  • −INF is equal only to itself, and is less than INF and all numerical precisionDecimal values.
  • NaN is incomparable with all values, including itself.

3.3.4.2 Lexical Mapping

precisionDecimal's lexical space is the set of all decimal numerals with or without a decimal point, numerals in scientific (exponential) notation, and the character strings 'INF', '+INF', '-INF', and 'NaN'.

The lexical mapping for precisionDecimal is ·precisionDecimalLexicalMap·. The canonical mapping is ·precisionDecimalCanonicalMap·.

3.3.4.3 Facets

precisionDecimal has the following ·constraining facets·:

precisionDecimal and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from precisionDecimal may also specify values for the following·constraining facets·:

precisionDecimal has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.3.5 float

[Definition:]  The float datatype is the IEEE single-precision 32-bit floating point datatype [IEEE 754-1985] with the minor exception noted below.  Floating point numbers are certain subsets of the rational numbers, and are often used to approximate arbitrary real numbers.

3.3.5.1 Value Space

The ·value space· of float contains the non-zero numbers  m × 2e , where m is an integer whose absolute value is less than 224, and e is an integer between −149 and 104, inclusive.  In addition to these values, the ·value space· of float also contains the following special valuespositiveZero, negativeZero, positiveInfinity, negativeInfinity, and notANumber.

Note: As explained below, the ·lexical mapping· of the float value notANumber is 'NaN'.  Accordingly, in English text we generally use 'NaN' to refer to that value.  Similarly, we use 'INF' and '−INF' to refer to the two values positiveInfinity and negativeInfinity, and '0' and '−0' to refer to positiveZero and negativeZero.

Equality and order for float are defined as follows:

  • Equality is identity, except that  0 = −0  (although they are not identical) and  NaN ≠ NaN  (although NaN is of course identical to itself).

    0 and −0 are thus distinct for purposes of enumerations and identity constraints, but equal for purposes of minimum and maximum values.

  • For the basic values, the order relation on float is the order relation for rational numbers.  INF is greater than all other non-NaN values; −INF is less than all other non-NaN values.  NaN is ·incomparable· with any value in the ·value space· including itself.  0 and −0 are greater than all the negative numbers and less than all the positive numbers.

Note: Any value ·incomparable· with the value used for the four bounding facets (·minInclusive·, ·maxInclusive·, ·minExclusive·, and ·maxExclusive·) will be excluded from the resulting restricted ·value space·.  In particular, when NaN is used as a facet value for a bounding facet, since no float values are ·comparable· with it, the result is a ·value space· that is empty.  If any other value is used for a bounding facet, NaN will be excluded from the resulting restricted ·value space·; to add NaN back in requires union with the NaN-only space (which may be derived by an enumeration).
Note: The Schema 1.0 version of this datatype did not differentiate between 0 and −0 and NaN was equal to itself.  The changes were made to make the datatype more closely mirror [IEEE 754-1985].
3.3.5.2 Lexical Mapping

The ·lexical space· of float is the set of all decimal numerals with or without a decimal point, numerals in scientific (exponential) notation, and the ·literals· 'INF', '-INF', and 'NaN'

The floatRep production is equivalent to this regular expression:

(-|+)?(([0-9]+(.[0-9]*)?)|(.[0-9]+))((e|E)(-|+)?[0-9]+)?|-?INF|NaN

The float datatype is designed to implement for schema processing the single-precision floating-point datatype of [IEEE 754-1985].  That specification does not specify specific ·lexical representations·, but does prescribe requirements on any ·lexical mapping· used.  Any ·lexical mapping· that maps the ·lexical space· just described onto the ·value space·, satisfies the requirements of [IEEE 754-1985], and correctly handles the special values (numericalSpecialRep ·literals·), satisfies the conformance requirements of this specification.

Since IEEE allows some variation in rounding of values, processors conforming to this specification may exhibit some variation in their ·lexical mappings·.

The ·lexical mapping· ·floatLexicalMap· is provided as an example of a simple algorithm that yields a conformant mapping, and that provides the most accurate rounding possible—and is thus useful for insuring inter-implementation reproducibility and inter-implementation round-tripping.  The simple rounding algorithm used in ·floatLexicalMap· may be more efficiently implemented using the algorithms of [Clinger, WD (1990)].

Note: The Schema 1.0 version of this datatype did not permit rounding algorithms whose results differed from [Clinger, WD (1990)].

The ·canonical mapping· ·floatCanonicalMap· is provided as an example of a mapping that does not produce unnecessarily long ·canonical representations·.  Other algorithms which do not yield identical results for mapping from float values to character strings are permitted by [IEEE 754-1985].

3.3.5.3 Facets

float has the following ·constraining facets·:

float and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from float may also specify values for the following·constraining facets·:

float has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = true
  • cardinality = finite
  • numeric = true

3.3.6 double

[Definition:]  The double datatype is the IEEE double-precision 64-bit floating point datatype [IEEE 754-1985] with the minor exception noted below.  Floating point numbers are certain subsets of the rational numbers, and are often used to approximate arbitrary real numbers.

Note: The only significant differences between float and double are the three defining constants 53 (vs 24), −1074 (vs −149), and 971 (vs 104).
3.3.6.1 Value Space

The ·value space· of double contains the non-zero numbers  m × 2e , where m is an integer whose absolute value is less than 253, and e is an integer between −1074 and 971, inclusive.  In addition to these values, the ·value space· of double also contains the following special valuespositiveZero, negativeZero, positiveInfinity, negativeInfinity, and notANumber.

Note: As explained below, the ·lexical mapping· of the double value notANumber is 'NaN'.  Accordingly, in English text we generally use 'NaN' to refer to that value.  Similarly, we use 'INF' and '−INF' to refer to the two values positiveInfinity and negativeInfinity, and '0' and '−0' to refer to positiveZero and negativeZero.

Equality and order for double are defined as follows:

  • Equality is identity, except that  0 = −0  (although they are not identical) and  NaN ≠ NaN  (although NaN is of course identical to itself).

    0 and −0 are thus distinct for purposes of enumerations and identity constraints, but equal for purposes of minimum and maximum values.

  • For the basic values, the order relation on double is the order relation for rational numbers.  INF is greater than all other non-NaN values; −INF is less than all other non-NaN values.  NaN is ·incomparable· with any value in the ·value space· including itself.  0 and −0 are greater than all the negative numbers and less than all the positive numbers.

Note: Any value ·incomparable· with the value used for the four bounding facets (·minInclusive·, ·maxInclusive·, ·minExclusive·, and ·maxExclusive·) will be excluded from the resulting restricted ·value space·.  In particular, when NaN is used as a facet value for a bounding facet, since no double values are ·comparable· with it, the result is a ·value space· that is empty.  If any other value is used for a bounding facet, NaN will be excluded from the resulting restricted ·value space·; to add NaN back in requires union with the NaN-only space (which may be derived by an enumeration).
Note: The Schema 1.0 version of this datatype did not differentiate between 0 and −0 and NaN was equal to itself.  The changes were made to make the datatype more closely mirror [IEEE 754-1985].
3.3.6.2 Lexical Mapping

The ·lexical space· of double is the set of all decimal numerals with or without a decimal point, numerals in scientific (exponential) notation, and the ·literals· 'INF', '-INF', and 'NaN'

The doubleRep production is equivalent to this regular expression:

(-|+)?(([0-9]+(.[0-9]*)?)|(.[0-9]+))((e|E)(-|+)?[0-9]+)?|-?INF|NaN

The double datatype is designed to implement for schema processing the double-precision floating-point datatype of [IEEE 754-1985].  That specification does not specify specific ·lexical representations·, but does prescribe requirements on any ·lexical mapping· used.  Any ·lexical mapping· that maps the ·lexical space· just described onto the ·value space·, satisfies the requirements of [IEEE 754-1985], and correctly handles the special values (numericalSpecialRep ·literals·), satisfies the conformance requirements of this specification.

Since IEEE allows some variation in rounding of values, processors conforming to this specification may exhibit some variation in their ·lexical mappings·.

The ·lexical mapping· ·doubleLexicalMap· is provided as an example of a simple algorithm that yields a conformant mapping, and that provides the most accurate rounding possible—and is thus useful for insuring inter-implementation reproducibility and inter-implementation round-tripping.  The simple rounding algorithm used in ·doubleLexicalMap· may be more efficiently implemented using the algorithms of [Clinger, WD (1990)].

Note: The Schema 1.0 version of this datatype did not permit rounding algorithms whose results differed from [Clinger, WD (1990)].

The ·canonical mapping· ·doubleCanonicalMap· is provided as an example of a mapping that does not produce unnecessarily long ·canonical representations·.  Other algorithms which do not yield identical results for mapping from float values to character strings are permitted by [IEEE 754-1985].

3.3.6.3 Facets

double has the following ·constraining facets·:

double and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from double may also specify values for the following·constraining facets·:

double has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = true
  • cardinality = finite
  • numeric = true

3.3.7 duration

[Definition:]  duration is a datatype that represents durations of time.  The concept of duration being captured is drawn from those of [ISO 8601], specifically durations without fixed endpoints.  For example, "15 days" (whose most common lexical representation in duration is "'P15D'") is a duration value; "15 days beginning 12 July 1995" and "15 days ending 12 July 1995" are not.  duration can provide addition and subtraction operations between duration values and between duration/dateTime value pairs, and can be the result of subtracting dateTime values.  However, only addition to dateTime is required for XML Schema processing and is defined in the function ·dateTimePlusDuration·.

3.3.7.1 Value Space

Duration values can be modelled as two-property tuples. Each value consists of an integer number of months and a decimal number of seconds. The ·seconds· value must not be negative if the ·months· value is positive and must not be positive if the ·months· is negative.

Properties of duration Values
a precisionDecimal value; must not be negative if ·months· is positive, and must not be positive if ·months· is negative.

duration is partially ordered.  Equality of duration is defined in terms of equality of dateTime; order for duration is defined in terms of the order of dateTime. Specifically, the equality or order of two duration values is determined by adding each duration in the pair to each of the following four dateTime values:

  • 1696-09-01T00:00:00Z
  • 1697-02-01T00:00:00Z
  • 1903-03-01T00:00:00Z
  • 1903-07-01T00:00:00Z

If all four resulting dateTime value pairs are ordered the same way (less than, equal, or greater than), then the original pair of duration values is ordered the same way; otherwise the original pair is ·incomparable·.

Note: These four values are chosen so as to maximize the possible differences in results that could occur, such as the difference when adding P1M and P30D:  1697-02-01T00:00:00Z + P1M < 1697-02-01T00:00:00Z + P30D , but 1903-03-01T00:00:00Z + P1M > 1903-03-01T00:00:00Z + P30D , so that  P1M <> P30D .  If two duration values are ordered the same way when added to each of these four dateTime values, they will retain the same order when added to any other dateTime values.  Therefore, two duration values are incomparable if and only if they can ever result in different orders when added to any dateTime value.

Under the definition just given, two duration values are equal if and only if they are identical.

Note: There are many ways to implement duration, some of which do not base the implementation on the two-component model.  This specification does not prescribe any particular implementation, as long as the visible results are isomorphic to those described herein.
3.3.7.2 Lexical Space

The ·lexical representations· of duration are more or less based on the pattern:

PnYnMnDTnHnMnS

More precisely, the ·lexical space· of duration is the set of character strings that satisfy durationLexicalRep as defined by the following productions:

Thus, a durationLexicalRep consists of one or more of a duYearFrag, duMonthFrag, duDayFrag, duHourFrag, duMinuteFrag, and/or duSecondFrag, in order, with letters 'P' and 'T' (and perhaps a '-') where appropriate.

The language accepted by the durationLexicalRep production is the set of strings which satisfy all of the following three regular expressions:

  • The expression '-?P([0-9]+Y)?([0-9]+M)?([0-9]+D)?(T([0-9]+H)?([0-9]+M)?((([0-9]+(.[0-9]*)?)|(.[0-9]+))S)?)?' matches only strings in which the fields occur in the proper order.
  • The expression '.*[YMDHS].*' matches only strings in which at least one field occurs.
  • The expression '.*[^T]' matches only strings in which 'T' is not the final character, so that if 'T' appears, something follows it. The first rule ensures that what follows 'T' will be an hour, minute, or second field.

The intersection of these three regular expressions is equivalent to the following (after removal of the white space inserted here for legibility):

-?P(((([0-9]+Y([0-9]+M)?)|
      (       ([0-9]+M) ) )(([0-9]+D(T(([0-9]+H([0-9]+M)?([0-9]+(\.[0-9]+)?S)?)|
                                       (       ([0-9]+M) ([0-9]+(\.[0-9]+)?S)?)|
                                       (                 ([0-9]+(\.[0-9]+)?S) ) ))?)|
                            (       (T(([0-9]+H([0-9]+M)?([0-9]+(\.[0-9]+)?S)?)|
                                       (       ([0-9]+M) ([0-9]+(\.[0-9]+)?S)?)|
                                       (                 ([0-9]+(\.[0-9]+)?S) ) )) ) )?)|
    (                      (([0-9]+D(T(([0-9]+H([0-9]+M)?([0-9]+(\.[0-9]+)?S)?)|
                                       (       ([0-9]+M) ([0-9]+(\.[0-9]+)?S)?)|
                                       (                 ([0-9]+(\.[0-9]+)?S) ) ))?)|
                            (       (T(([0-9]+H([0-9]+M)?([0-9]+(\.[0-9]+)?S)?)|
                                       (       ([0-9]+M) ([0-9]+(\.[0-9]+)?S)?)|
                                       (                 ([0-9]+(\.[0-9]+)?S) ) )) ) ) ) )

The lexical mapping for duration is ·durationMap·.

·The canonical mapping· for duration is ·durationCanonicalMap·.

3.3.7.3 Facets

duration has the following ·constraining facets·:

duration and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from duration may also specify values for the following·constraining facets·:

duration has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.8 dateTime

dateTime represents instants of time, optionally marked with a particular timezone.  Values representing the same instant but having different timezones are equal but not identical.

3.3.8.1 Value Space

dateTime uses the date/timeSevenPropertyModel, with no properties except ·timezone· permitted to be absent. The ·timezone· property remains ·optional·.

Note: In version 1.0 of this specification, the ·year· property was not permitted to have the value zero. The year 1 BCE was represented by a ·year· value of −1, 2 BCE by −2, and so forth. In this version of this specification, two changes are made in order to agree with existing usage. First, ·year· is permitted to have the value zero. Second, the interpretation of ·year· values is changed accordingly: a ·year· value of zero represents 1 BCE, −1 represents 2 BCE, etc. This representation simplifies interval arithmetic and leap-year calculation for dates before the common era.

Note that 1 BCE, 5 BCE, and so on (years 0000, -0004, etc. in the lexical representation defined here) are leap years in the proleptic Gregorian calendar used for the date/time datatypes defined here. Version 1.0 of this specification was unclear about the treatment of leap years before the common era; caution should be used if existing schemas or data specify dates of 29 February for any years before the common era. With that possible exception, schemas and data valid under the old interpretation remain valid under the new.

Constraint: Day-of-month Values
The ·day· value must be no more than 30 if ·month· is one of 4, 6, 9, or 11; no more than 28 if ·month· is 2 and ·year· is not divisible 4, or is divisible by 100 but not by 400; and no more than 29 if ·month· is 2 and ·year· is divisible by 400, or by 4 but not by 100.
Note: See the conformance note in (§C) which applies to the ·year· and ·second· values of this datatype.

Equality and order are as prescribed in The Seven-property Model (§D.2.1)dateTime values are ordered by their ·timeOnTimeline· value.

Note: Since the order of a dateTime value having a ·timezone· with another value whose ·timezone· is absent is determined by imputing timezones of both +14:00 and −14:00 to the untimezoned value, many such combinations will be ·incomparable· because the two imputed timezones yield different orders.

Although dateTime and other types related to dates and times have only a partial order, it is possible for datatypes derived from dateTime to have total orders, if they are restricted (e.g. using the pattern facet) to the subset of values with, or the subset of values without, timezones. Similar restrictions on other date- and time-related types will similarly produce totally ordered subtypes. Note, however, that such restrictions do not affect the value shown, for a given Simple Type Definition, in the ordered facet.

Note: Order and equality are essentially the same for dateTime in this version of this specification as they were in version 1.0.  However, since values now distinguish timezones, equal values with different ·timezone·s are not identical, and values with extreme ·timezone·s may no longer be equal to any value with a smaller ·timezone·.
3.3.8.2 Lexical Mappings

The lexical representations for dateTime are as follows:

Lexical Space
dateTimeLexicalRep ::= yearFrag '-monthFrag '-dayFrag 'T' ((hourFrag ':minuteFrag ':secondFrag) | endOfDayFrag) timezoneFrag?   Constraint:  Day-of-month Representations

Constraint: Day-of-month Representations
Within a dateTimeLexicalRep, a dayFrag must not begin with the digit '3' or be '29' unless the value to which it would map would satisfy the value constraint on ·day· values ("Constraint: Day-of-month Values") given above.

In such representations:

  • yearFrag is a numeral consisting of at least four decimal digits, optionally preceded by a minus sign; leading '0' digits are prohibited except to bring the digit count up to four.  It represents the ·year· value.
  • Subsequent '-', 'T', and ':', separate the various numerals.
  • monthFrag, dayFrag, hourFrag, and minuteFrag are numerals consisting of exactly two decimal digits.  They represent the ·month·, ·day·, ·hour·, and ·minute· values respectively.
  • dayFrag is a numeral consisting of exactly two decimal digits, or two decimal digits, a decimal point, and one or more trailing digits.  It represents the ·second· value.
  • Alternatively, endOfDayFrag combines the hourFrag, minuteFrag, minuteFrag, and their separators to represent midnight of the day, which is the first moment of the next day.
  • timezoneFrag, if present, specifies the timezone in which the moment occurs.  Timezones are a count of minutes (expressed in timezoneFrag as a count of hours and minutes) that are added or subtracted from UTC time to get the "local" time.  'Z' is an alternative representation of the timzone of UTC, which is, of course, zero minutes from UTC.

    For example, 2002-10-10T12:00:00−05:00 (noon on 10 October 2002, Central Daylight Savings Time as well as Eastern Standard Time in the U.S.) is equal to 2002-10-10T17:00:00Z, five hours later than 2002-10-10T12:00:00Z.

The dateTimeLexicalRep production is equivalent to this regular expression once whitespace is removed.

\-?([1-9][0-9][0-9][0-9]+)|(0[0-9][0-9][0-9])\-(0[1-9])|(1[0-2])\-(0[1-9])([12][0-9])|(3[01])
 T(([01][0-9])|(2[0-3]):[0-5][0-9]:([0-5][0-9])(\.[0-9]+)?)|(24:00:00(\.0+)?)
   ([+\-](0[0-9])|(1[0-4]):[0-5][0-9])?

Note that neither the dateTimeLexicalRep production nor this regular expression alone enforce the constraint on dateTimeLexicalRep given above.

The lexical mapping for dateTime is ·dateTimeLexicalMap·. The canonical mapping is ·dateTimeCanonicalMap·.

3.3.8.3 Facets

dateTime has the following ·constraining facets·:

dateTime and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from dateTime may also specify values for the following·constraining facets·:

dateTime has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.9 time

time represents instants of time that recur at the same point in each calendar day, or that occur in some arbitrary calendar day.

3.3.9.1 Value Space

time uses the date/timeSevenPropertyModel, with ·year·, ·month·, and ·day· required to be absent·timezone· remains ·optional·.

Note: See the conformance note in (§C) which applies to the ·second· value of this datatype.

Equality and order are as prescribed in The Seven-property Model (§D.2.1)time values (points in time in an "arbitrary" day) are ordered taking into account their ·timezone·.

A calendar ( or "local time") day with an early timezone begins earlier than the same calendar day with a later timezone.  Since the timezones allowed spread over 28 hours, there are timezone pairs for which a given calendar day in the two timezones are totally disjoint—the earlier day ends before the same day starts in the later timezone.  The moments in time represented by a single calendar day are spread over a 52-hour interval, from the beginning of the day in the +14:00 timezone to the end of that day in the −14:00 timezone.

Note: Since the order of a time value having a ·timezone· with another value whose ·timezone· is absent is determined by imputing timezones of both +14:00 and −14:00 to the untimezoned value, many such combinations will be ·incomparable· because the two imputed timezones yield different orders.  However, for a given untimezoned value, there will always be timezoned values at one or both ends of the 52-hour interval that are ·comparable· (because the interval of ·incomparability· is only 24 hours wide).

Examples that show the difference from version 1.0 of this specification (see Lexical Mappings (§3.3.9.2) for the notations):

  • A day is a calendar (or "local time") day in each timezone.

    08:00:00+10:00 < 17:00:00+10:00  (just as 08:00:00Z has always been less than 17:00:00Z, but in version 1.0  08:00:00+10:00 > 17:00:00+10:00 )

  • A time value in a calendar day with an early timezone may precede every value in a later calendar day:

    00:00:00+01:00 is less than every value with ·timezone· Z

  • A calendar day with a very early timezone may be completely disjoint from a calendar day with a very late timezone:

    Each value with ·timezone· +13:00 is less than every value with ·timezone· −13:00

  • time values do not always convert to ·UTC· in the same way as in 1.0, since a time in a timezone may convert to a ·UTC· time on a different day (whereas time conversions in version 1.0 "wrapped around" by ignoring the day during conversion):

    22:00:00Z > 03:00:00+05:00 (since 1971-12-31T03:00:00+05 is 1979-12-30T22:00:00Z, not 1979-12-31T22:00:00Z); in the previous version of this specification  22:00:00Z = 03:00:00+05:00 )

3.3.9.2 Lexical Mappings

The lexical representations for time are "projections" of those of dateTime, as follows:

The timeLexicalRep production is equivalent to this regular expression, once whitespace is removed:

(((([01][0-9])|(2[0-3])):([0-5][0-9]):(([0-5][0-9])(\.[0-9]+)?))
  |(24:00:00(\.0+)?))
(Z|((+|-)(0[0-9]|1[0-4]):[0-5][0-9]))?

Note that neither the timeLexicalRep production nor this regular expression alone enforce the constraint on timeLexicalRep given above.

The lexical mapping for time is ·timeLexicalMap·; the canonical mapping is ·timeCanonicalMap·.

3.3.9.3 Facets

time has the following ·constraining facets·:

time and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from time may also specify values for the following·constraining facets·:

time has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.10 date

[Definition:]   date represents top-open intervals of exactly one day in length on the timelines of dateTime, beginning on the beginning moment of each day (in each timezone), up to but not including the beginning moment of the next day).  For nontimezoned values, the top-open intervals disjointly cover the nontimezoned timeline, one per day.  For timezoned values, the intervals begin at every minute and therefore overlap.

3.3.10.1 Value Space

date uses the date/timeSevenPropertyModel, with ·hour·, ·minute·, and ·second· required to be absent·timezone· remains ·optional·.

Constraint: Day-of-month Values
The ·day· value must be no more than 30 if ·month· is one of 4, 6, 9, or 11, no more than 28 if ·month· is 2 and ·year· is not divisble 4, or is divisible by 100 but not by 400, and no more than 29 if ·month· is 2 and ·year· is divisible by 400, or by 4 but not by 100.
Note: See the conformance note in (§C) which applies to the ·year· value of this datatype.

Equality and order are as prescribed in The Seven-property Model (§D.2.1).

Note: In version 1.0 of this specification, date values did not retain a timezone explicitly, but for timezones not too far from ·UTC· their timezone could be recovered based on their value's first moment on the timeline.  The date/timeSevenPropertyModel retains all timezones.

Examples that show the difference from version 1.0 (see Lexical Mappings (§3.3.10.2) for the notations):

  • A day is a calendar (or "local time") day in each timezone, including the timezones outside of +12:00 through -11:59 inclusive:

    2000-12-12+13:00 < 2000-12-12+11:00  (just as 2000-12-12+12:00 has always been less than 2000-12-12+11:00, but in version 1.0  2000-12-12+13:00 > 2000-12-12+11:00 , since 2000-12-12+13:00's "recoverable timezone" was −11:00)

  • Similarly:

    2000-12-12+13:00 = 2000-12-13−11:00  (whereas under 1.0, as just stated,  2000-12-12+13:00 = 2000-12-12−11:00)

3.3.10.2 Lexical Mappings

The lexical representations for date are "projections" of those of dateTime, as follows:

Lexical Space
dateLexicalRep ::= yearFrag '-monthFrag '-dayFrag timezoneFrag?   Constraint:  Day-of-month Representations

Constraint: Day-of-month Representations
Within a dateLexicalRep, a dayFrag must not begin with the digit '3' or be '29' unless the value to which it would map would satisfy the value constraint on ·day· values ("Constraint: Day-of-month Values") given above.

The dateLexicalRep production is equivalent to this regular expression:

\-?([1-9][0-9][0-9][0-9]+)|(0[0-9][0-9][0-9])\-(0[1-9])|(1[0-2])\-([0-2][0-9])|(3[01])((+|\-)(0[0-9]|1[0-4]):[0-5][0-9])?

Note that neither the dateLexicalRep production nor this regular expression alone enforce the constraint on dateLexicalRep given above.

The lexical mapping for date is ·dateLexicalMap·. The canonical mapping is ·dateCanonicalMap·.

3.3.11 gYearMonth

gYearMonth represents specific whole Gregorian months in specific Gregorian years.

3.3.11.1 Value Space

gYearMonth uses the date/timeSevenPropertyModel, with ·day·, ·hour·, ·minute·, and ·second· required to be absent·timezone· remains ·optional·.

Note: See the conformance note in (§C) which applies to the ·year· value of this datatype.

Equality and order are as prescribed in The Seven-property Model (§D.2.1).

Note: In version 1.0 of this specification, gYearMonth values did not retain a timezone explicitly, but timezones not too far from ·UTC· could be recovered based on the gYearMonth value's first moment on the timeline.  The date/timeSevenPropertyModel simply retains all timezones.

An example that shows the difference from version 1.0 (see Lexical Mappings (§3.3.11.2) for the notations):

  • A day is a calendar (or "local time") day in each timezone, including the timezones outside of +12:00 through −11:59 inclusive:

    2000-12+13:00 < 2000-12+11:00  (just as 2000-12+12:00 has always been less than 2000−12+11:00, but in version 1.0  2000-12+13:00 > 2000-12+11:00 , since 2000−12+13:00's "recoverable timezone" was −11:00)

3.3.11.2 Lexical Mappings

The lexical representations for gYearMonth are "projections" of those of dateTime, as follows:

The gYearMonthLexicalRep is equivalent to this regular expression:

\-?([1-9][0-9][0-9][0-9]+)|(0[0-9][0-9][0-9])\-(0[1-9])|(1[0-2])((+|\-)(0[0-9]|1[0-4]):[0-5][0-9])?

The lexical mapping for gYearMonth is ·gYearMonthLexicalMap·. The canonical mapping is ·gYearMonthCanonicalMap·.

3.3.11.3 Facets

gYearMonth has the following ·constraining facets·:

gYearMonth and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from gYearMonth may also specify values for the following·constraining facets·:

gYearMonth has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.12 gYear

gYear represents Gregorian calendar years.

3.3.12.1 Value Space

gYear uses the date/timeSevenPropertyModel, with ·month·, ·day·, ·hour·, ·minute·, and ·second· required to be absent·timezone· remains ·optional·.

Note: See the conformance note in (§C) which applies to the ·year· value of this datatype.

Equality and order are as prescribed in The Seven-property Model (§D.2.1).

Note: In version 1.0 of this specification, gYear values did not retain a timezone explicitly, but timezones not too far from ·UTC· could be recovered based on the gYear value's first moment on the timeline.  The date/timeSevenPropertyModel simply retains all timezones.

An example that shows the difference from version 1.0 (see Lexical Mappings (§3.3.12.2) for the notations):

  • A day is a calendar (or "local time") day in each timezone, including the timezones outside of +12:00 through −11:59 inclusive:

    2000+13:00 < 2000+11:00  (just as 2000+12:00 has always been less than 2000+11:00, but in version 1.0  2000+13:00 > 2000+11:00 , since 2000+13:00's "recoverable timezone" was −11:00)

3.3.12.2 Lexical Mappings

The lexical representations for gYear are "projections" of those of dateTime, as follows:

The gYearLexicalRep is equivalent to this regular expression:

\-?([1-9][0-9][0-9][0-9]+)|(0[0-9][0-9][0-9])((+|\-)(0[0-9]|1[0-4]):[0-5][0-9])?

The lexical mapping for gYear is ·gYearLexicalMap·. The canonical mapping is ·gYearCanonicalMap·.

3.3.12.3 Facets

gYear has the following ·constraining facets·:

gYear and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from gYear may also specify values for the following·constraining facets·:

gYear has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.13 gMonthDay

gMonthDay represents whole calendar days that recur at the same point in each calendar year, or that occur in some arbitrary calendar year.

This datatype can be used, for example, to record birthdays; an instance of the datatype could be used to say that someone's birthday occurs on the 14th of September every year.

Note:  Because day/month combinations in one calendar only rarely correspond to day/month combinations in other calendars, values of this type do not, in general, have any straightforward or intuitive representation in terms of most other calendars. This type should therefore be used with caution in contexts where conversion to other calendars is desired.
3.3.13.1 Value Space

gMonthDay uses the date/timeSevenPropertyModel, with ·year·, ·hour·, ·minute·, and ·second· required to be absent·timezone· remains ·optional·.

Constraint: Day-of-month Values
The ·day· value must be no more than 30 if ·month· is one of 4, 6, 9, or 11, and no more than 29 if ·month· is 2.

Equality and order are as prescribed in The Seven-property Model (§D.2.1).

Note: In version 1.0 of this specification, gMonthDay values did not retain a timezone explicitly, but for timezones not too far from ·UTC· their timezone could be recovered based on their value's first moment on the timeline.  The date/timeSevenPropertyModel retains all timezones.

An example that shows the difference from version 1.0 (see Lexical Mappings (§3.3.13.2) for the notations):

  • A day is a calendar (or "local time") day in each timezone, including the timezones outside of +12:00 through −11:59 inclusive:

    --12-12+13:00 < --12-12+11:00  (just as --12-12+12:00 has always been less than --12-12+11:00, but in version 1.0  --12-12+13:00 > --12-12+11:00 , since --12-12+13:00's "recoverable timezone" was −11:00)

3.3.13.2 Lexical Mappings

The lexical representations for gMonthDay are "projections" of those of dateTime, as follows:

Lexical Space
gMonthDayLexicalRep ::= '--monthFrag '-dayFrag timezoneFrag?   Constraint:  Day-of-month Representations

Constraint: Day-of-month Representations
Within a gMonthDayLexicalRep, a dayFrag must not begin with the digit '3' or be '29' unless the value to which it would map would satisfy the value constraint on ·day· values ("Constraint: Day-of-month Values") given above.

The gMonthDayLexicalRep is equivalent to this regular expression:

\-\-(0[1-9])|(1[0-2])\-([0-2][0-9])|(3[01])((+|\-)(0[0-9]|1[0-4]):[0-5][0-9])?

Note that neither the gMonthDayLexicalRep production nor this regular expression alone enforce the constraint on gMonthDayLexicalRep given above.

The lexical mapping for gMonthDay is ·gMonthDayLexicalMap·. The canonical mapping is ·gMonthDayCanonicalMap·.

3.3.13.3 Facets

gMonthDay has the following ·constraining facets·:

gMonthDay and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from gMonthDay may also specify values for the following·constraining facets·:

gMonthDay has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.14 gDay

[Definition:]  gDay represents whole days within an arbitrary month—days that recur at the same point in each (Gregorian) month. This datatype is used to represent a specific day of the month. To indicate, for example, that an employee gets a paycheck on the 15th of each month.  (Obviously, days beyond 28 cannot occur in all months; they are nonetheless permitted, up to 31.)

Note: Because days in one calendar only rarely correspond to days in other calendars, gday values do not, in general, have any straightforward or intuitive representation in terms of most non-Gregorian calendars. gday should therefore be used with caution in contexts where conversion to other calendars is desired.
3.3.14.1 Value Space

gDay uses the date/timeSevenPropertyModel, with ·year·, ·month·, ·hour·, ·minute·, and ·second· required to be absent·timezone· remains ·optional· and ·day· must be between 1 and 31 inclusive.

Equality and order are as prescribed in The Seven-property Model (§D.2.1).  Since gDay values (days) are ordered by their first moments, it is possible for apparent anomalies to appear in the order when ·timezone· values differ by at least 24 hours.  (It is possible for ·timezone· values to differ by up to 28 hours.)

Examples that may appear anomalous (see Lexical Mappings (§3.3.14.2) for the notations):

  • ---15 < ---16 , but  ---15−13:00 > ---16+13:00
  • ---15−11:00 = ---16+13:00
  • ---15−13:00 <> ---16 , because  ---15−13:00 > ---16+14:00  and ---15−13:00 < 16−14:00

Note:  Timezones do not cause wrap-around at the end of the month:  the last day of a given month in timezone −13:00 may start after the first day of the next month in timezone +13:00, as measured on the global timeline, but nonetheless  ---01+13:00 < ---31−13:00 .
3.3.14.2 Lexical Mappings

The lexical representations for gDay are "projections" of those of dateTime, as follows:

The gDayLexicalRep is equivalent to this regular expression:

\-\-\-([0-2][0-9]|3[01])((+|\-)(0[0-9]|1[0-4]):[0-5][0-9])?

The lexical mapping for gDay is ·gDayLexicalMap·. The canonical mapping is ·gDayCanonicalMap·.

3.3.14.3 Facets

gDay has the following ·constraining facets·:

gDay and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from gDay may also specify values for the following·constraining facets·:

gDay has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.15 gMonth

gMonth represents whole (Gregorian) months within an arbitrary year—months that recur at the same point in each year.  It might be used, for example, to say what month annual Thanksgiving celebrations fall in different countries (--11 in the United States, --10 in Canada, and possibly other months in other countries).

3.3.15.1 Value Space

gMonth uses the date/timeSevenPropertyModel, with ·year·, ·day·, ·hour·, ·minute·, and ·second· required to be absent·timezone· remains ·optional·.

Equality and order are as prescribed in The Seven-property Model (§D.2.1).

Note: In version 1.0 of this specification, gMonth values did not retain a timezone explicitly, but for timezones not too far from ·UTC· their timezone could be recovered based on their value's first moment on the timeline.  The date/timeSevenPropertyModel retains all timezones.

An example that shows the difference from version 1.0 (see Lexical Mappings (§3.3.15.2) for the notations):

  • A month is a calendar (or "local time") month in each timezone, including the timezones outside of +12:00 through −11:59 inclusive:

    --12+13:00 < --12+11:00  (just as --12+12:00 has always been less than --12+11:00, but in version 1.0  --12+13:00 > --12+11:00 , since --12+13:00's "recoverable timezone" was −11:00)

3.3.15.2 Lexical Mappings

The lexical representations for gMonth are "projections" of those of dateTime, as follows:

The gMonthLexicalRep is equivalent to this regular expression:

\-\-(0[1-9])|(1[0-2])((+|\-)(0[0-9]|1[0-4]):[0-5][0-9])?

The lexical mapping for gMonth is ·gMonthLexicalMap·. The canonical mapping is ·gMonthCanonicalMap·.

3.3.15.3 Facets

gMonth has the following ·constraining facets·:

gMonth and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from gMonth may also specify values for the following·constraining facets·:

gMonth has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.16 hexBinary

[Definition:]   hexBinary represents arbitrary hex-encoded binary data.  The ·value space· of hexBinary is the set of finite-length sequences of binary octets.

3.3.16.3 Facets

hexBinary has the following ·constraining facets·:

hexBinary and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from hexBinary may also specify values for the following·constraining facets·:

hexBinary has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.17 base64Binary

[Definition:]   base64Binary represents Base64-encoded arbitrary binary data.  The ·value space· of base64Binary is the set of finite-length sequences of binary octets. For base64Binary data the entire binary stream is encoded using the Base64 Encoding defined in [RFC 3548], which is derived from the encoding described in [RFC 2045].

The lexical forms of base64Binary values are limited to the 65 characters of the Base64 Alphabet defined in [RFC 3548], i.e., a-z, A-Z, 0-9, the plus sign (+), the forward slash (/) and the equal sign (=), together with the characters defined in [XML] as white space. No other characters are allowed.

For compatibility with older mail gateways, [RFC 2045] suggests that base64 data should have lines limited to at most 76 characters in length.  This line-length limitation is not required by [RFC 3548] and is not mandated in the lexical forms of base64Binary data. It must not be enforced by XML Schema processors.

The lexical space of base64Binary is given by the following grammar (the notation is that used in [XML]); legal lexical forms must match the Base64Binary production.

Base64Binary  ::=  ((B64S B64S B64S B64S)*
                     ((B64S B64S B64S B64) |
                      (B64S B64S B16S '=') |
                      (B64S B04S '=' #x20? '=')))?

B64S         ::= B64 #x20?

B16S         ::= B16 #x20?

B04S         ::= B04 #x20?


B04         ::=  [AQgw]
B16         ::=  [AEIMQUYcgkosw048]
B64         ::=  [A-Za-z0-9+/]

Note that this grammar requires the number of non-whitespace characters in the lexical form to be a multiple of four, and for equals signs to appear only at the end of the lexical form; strings which do not meet these constraints are not legal lexical forms of base64Binary because they cannot successfully be decoded by base64 decoders.

Note: The above definition of the lexical space is more restrictive than that given in [RFC 2045] as regards whitespace — and less restrictive than [RFC 3548]. This is not an issue in practice.  Any string compatible with either RFC can occur in an element or attribute validated by this type, because the ·whiteSpace· facet of this type is fixed to collapse, which means that all leading and trailing whitespace will be stripped, and all internal whitespace collapsed to single space characters, before the above grammar is enforced. The possibility of ignoring whitespace in base64 data is foreseen in clause 2.3 of [RFC 3548], but for the reasons given there this specification does not allow implementations to ignore non-whitespace characters which are not in the Base64 Alphabet.

The canonical lexical form of a base64Binary data value is the base64 encoding of the value which matches the Canonical-base64Binary production in the following grammar:

Canonical-base64Binary  ::=  (B64 B64 B64 B64)*
                               ((B64 B64 B16 '=') | (B64 B04 '=='))?

Note: For some values the canonical form defined above does not conform to [RFC 2045], which requires breaking with linefeeds at appropriate intervals. It does conform with [RFC 3548].

The length of a base64Binary value is the number of octets it contains. This may be calculated from the lexical form by removing whitespace and padding characters and performing the calculation shown in the pseudo-code below:

lex2    := killwhitespace(lexform)    -- remove whitespace characters
lex3    := strip_equals(lex2)         -- strip padding characters at end
length  := floor (length(lex3) * 3 / 4)         -- calculate length

Note on encoding: [RFC 2045] and [RFC 3548] explicitly reference US-ASCII encoding.  However, decoding of base64Binary data in an XML entity is to be performed on the Unicode characters obtained after character encoding processing as specified by [XML]

3.3.17.1 Facets

base64Binary has the following ·constraining facets·:

base64Binary and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from base64Binary may also specify values for the following·constraining facets·:

base64Binary has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.18 anyURI

[Definition:]   anyURI represents an Internationalized Resource Identifier Reference (IRI).  An anyURI value can be absolute or relative, and may have an optional fragment identifier (i.e., it may be an IRI Reference).  This type should be used when the value fulfills the role of an IRI, as defined in [RFC 3987] or its successor(s) in the IETF Standards Track.

Note: IRIs may be used to locate resources or simply to identify them. In the case where they are used to locate resources using a URI, applications should use the mapping from anyURI values to URIs given by the URI reference escaping procedure defined in Section 3.1 Mapping of IRIs to URIs of [RFC 3987] or its successor(s) in the IETF Standards Track.  This means that a wide range of internationalized resource identifiers can be specified when an anyURI is called for, and still be understood as URIs per [RFC 3986] and its successor(s).
3.3.18.1 Lexical mapping

The ·lexical space· of anyURI is finite-length character sequences.

Note: For an anyURI value to be usable in practice as an IRI, the result of applying to it the algorithm defined in Section 3.1 of [RFC 3987] should be a string which is a legal URI according to [RFC 3986]. (This is true at the time this document is published; if in the future [RFC 3987] and [RFC 3986] are replaced by other specifications in the IETF Standards Track, the relevant constraints will be those imposed by those successor specifications.)

Each URI scheme imposes specialized syntax rules for URIs in that scheme, including restrictions on the syntax of allowed fragment identifiers. Because it is impractical for processors to check that a value is a context-appropriate URI reference, neither the syntactic constraints defined by the definitions of individual schemes nor the generic syntactic constraints defined by [RFC 3987] and [RFC 3986] and their successors are part of this datatype as defined here. Applications which depend on anyURI values being legal according to the rules of the relevant specifications should make arrangements to check values against the appropriate definitions of IRI, URI, and specific schemes.

Note:  Spaces are, in principle, allowed in the ·lexical space· of anyURI, however, their use is highly discouraged (unless they are encoded by '%20').

The lexical mapping for anyURI is the identity mapping.

Note: The definitions of URI in the current IETF specifications define certain URIs as equivalent to each other. Those equivalences are not part of this datatype as defined here: if two "equivalent" URIs or IRIs are different character sequences, they map to different values in this datatype.
3.3.18.2 Facets

anyURI has the following ·constraining facets·:

anyURI and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from anyURI may also specify values for the following·constraining facets·:

anyURI has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.3.19 QName

[Definition:]   QName represents XML qualified names. The ·value space· of QName is the set of tuples {namespace name, local part}, where namespace name is an anyURI and local part is an NCName. The ·lexical space· of QName is the set of strings that ·match· the QName production of [Namespaces in XML].

Note:  The mapping between literals in the ·lexical space· and values in the ·value space· of QName requires a namespace declaration to be in scope for the context in which QName is used.

Because the lexical representations available for any value of type QName vary with context, no canonical representation is defined for QName in this specification.

3.3.19.1 Facets

QName has the following ·constraining facets·:

QName and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from QName may also specify values for the following·constraining facets·:

QName has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

The use of ·length·, ·minLength· and ·maxLength· on QName or datatypes ·derived· from QName is deprecated.  Future versions of this specification may remove these facets for this datatype.

3.3.20 NOTATION

[Definition:]  NOTATION represents the NOTATION attribute type from [XML]. The ·value space· of NOTATION is the set of QNames of notations declared in the current schema. The ·lexical space· of NOTATION is the set of all names of notations declared in the current schema (in the form of QNames).

Schema Component Constraint: enumeration facet value required for NOTATION
It is an ·error· for NOTATION to be used directly in a schema.  Only datatypes that are ·derived· from NOTATION by specifying a value for ·enumeration· can be used in a schema.

For compatibility (see Terminology (§1.5)) NOTATION should be used only on attributes and should only be used in schemas with no target namespace.

Note: Because the lexical representations available for any given value of NOTATION vary with context, this specification defines no canonical representation for NOTATION values.

3.3.20.1 Facets

NOTATION has the following ·constraining facets·:

NOTATION and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

Datatypes derived by restriction from NOTATION may also specify values for the following·constraining facets·:

NOTATION has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

The use of ·length·, ·minLength· and ·maxLength· on NOTATION or datatypes ·derived· from NOTATION is deprecated.  Future versions of this specification may remove these facets for this datatype.

previous sub-section 3.4 Other Built-in Datatypes

        3.4.1 normalizedString
        3.4.2 token
        3.4.3 language
        3.4.4 NMTOKEN
        3.4.5 NMTOKENS
        3.4.6 Name
        3.4.7 NCName
        3.4.8 ID
        3.4.9 IDREF
        3.4.10 IDREFS
        3.4.11 ENTITY
        3.4.12 ENTITIES
        3.4.13 integer
        3.4.14 nonPositiveInteger
        3.4.15 negativeInteger
        3.4.16 long
        3.4.17 int
        3.4.18 short
        3.4.19 byte
        3.4.20 nonNegativeInteger
        3.4.21 unsignedLong
        3.4.22 unsignedInt
        3.4.23 unsignedShort
        3.4.24 unsignedByte
        3.4.25 positiveInteger
        3.4.26 yearMonthDuration
        3.4.27 dayTimeDuration

This section gives conceptual definitions for all ·built-in· ·ordinary· datatypes defined by this specification. The XML representation used to define datatypes (whether ·built-in· or ·user-defined·) is given in XML Representation of Simple Type Definition Schema Components (§4.1.2) and the complete definitions of the ·built-in· ·ordinary· datatypes are provided in the appendix Schema for Schema Documents (Datatypes) (normative) (§A).

3.4.1 normalizedString

[Definition:]   normalizedString represents white space normalized strings. The ·value space· of normalizedString is the set of strings that do not contain the carriage return (#xD), line feed (#xA) nor tab (#x9) characters. The ·lexical space· of normalizedString is the set of strings that do not contain the carriage return (#xD), line feed (#xA) nor tab (#x9) characters. The ·base type· of normalizedString is string.

3.4.1.1 Facets

normalizedString has the following ·constraining facets·:

normalizedString has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from normalizedString may also specify values for the following·constraining facets·:

normalizedString has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.2 token

[Definition:]   token represents tokenized strings. The ·value space· of token is the set of strings that do not contain the carriage return (#xD), line feed (#xA) nor tab (#x9) characters, that have no leading or trailing spaces (#x20) and that have no internal sequences of two or more spaces. The ·lexical space· of token is the set of strings that do not contain the carriage return (#xD), line feed (#xA) nor tab (#x9) characters, that have no leading or trailing spaces (#x20) and that have no internal sequences of two or more spaces. The ·base type· of token is normalizedString.

3.4.2.1 Facets

token has the following ·constraining facets·:

token has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from token may also specify values for the following·constraining facets·:

token has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.3 language

[Definition:]   language represents formal natural language identifiers, as defined by [RFC 3066]or its successor(s) in the IETF Standards Track. The ·value space· and ·lexical space· of language are the set of all strings that conform to the pattern

[a-zA-Z]{1,8}(-[a-zA-Z0-9]{1,8})*

, This is the set of strings accepted by the grammar given in [RFC 3066]. The ·base type· of language is token.

Note: The regular expression above provides the only normative constraint on the lexical and value spaces of this type. The additional constraints imposed on language identifiers by [RFC 3066] and its successor(s), and in particular their requirement that language codes be registered with IANA or ISO if not given in ISO 639, are not part of this datatype as defined here.
Note: [RFC 3066] specifies that language codes "are to be treated as case insensitive; there exist conventions for capitalization of some of them, but these should not be taken to carry meaning. For instance, [ISO 3166] recommends that country codes are capitalized (MN Mongolia), while [ISO 639] recommends that language codes are written in lower case (mn Mongolian)." Since the language datatype is derived from string, it inherits from string a one-to-one mapping from lexical representations to values. The literals 'MN' and 'mn' therefore correspond to distinct values and have distinct canonical forms. Users of this specification should be aware of this fact, the consequence of which is that the case-insensitive treatment of language values prescribed by [RFC 3066] does not follow from the definition of this datatype given here; applications which require case-sensitivity should make appropriate adjustments.
3.4.3.1 Facets

language has the following ·constraining facets·:

language has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from language may also specify values for the following·constraining facets·:

language has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.4 NMTOKEN

[Definition:]   NMTOKEN represents the NMTOKEN attribute type from [XML]. The ·value space· of NMTOKEN is the set of tokens that ·match· the Nmtoken production in [XML]. The ·lexical space· of NMTOKEN is the set of strings that ·match· the Nmtoken production in [XML].  The ·base type· of NMTOKEN is token.

For compatibility (see Terminology (§1.5)) NMTOKEN should be used only on attributes.

3.4.4.1 Facets

NMTOKEN has the following ·constraining facets·:

NMTOKEN has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from NMTOKEN may also specify values for the following·constraining facets·:

NMTOKEN has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.5 NMTOKENS

[Definition:]   NMTOKENS represents the NMTOKENS attribute type from [XML]. The ·value space· of NMTOKENS is the set of finite, non-zero-length sequences of ·NMTOKEN·s.  The ·lexical space· of NMTOKENS is the set of space-separated lists of tokens, of which each token is in the ·lexical space· of NMTOKEN.  The ·item type· of NMTOKENS is NMTOKEN.

For compatibility (see Terminology (§1.5)) NMTOKENS should be used only on attributes.

3.4.5.1 Facets

NMTOKENS has the following ·constraining facets·:

NMTOKENS has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from NMTOKENS may also specify values for the following·constraining facets·:

NMTOKENS has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.6 Name

[Definition:]   Name represents XML Names. The ·value space· of Name is the set of all strings which ·match· the Name production of [XML].  The ·lexical space· of Name is the set of all strings which ·match· the Name production of [XML]. The ·base type· of Name is token.

3.4.6.1 Facets

Name has the following ·constraining facets·:

Name has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from Name may also specify values for the following·constraining facets·:

Name has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.7 NCName

[Definition:]   NCName represents XML "non-colonized" Names.  The ·value space· of NCName is the set of all strings which ·match· the NCName production of [Namespaces in XML].  The ·lexical space· of NCName is the set of all strings which ·match· the NCName production of [Namespaces in XML].  The ·base type· of NCName is Name.

3.4.7.1 Facets

NCName has the following ·constraining facets·:

NCName has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from NCName may also specify values for the following·constraining facets·:

NCName has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.8 ID

[Definition:]   ID represents the ID attribute type from [XML].  The ·value space· of ID is the set of all strings that ·match· the NCName production in [Namespaces in XML].  The ·lexical space· of ID is the set of all strings that ·match· the NCName production in [Namespaces in XML]. The ·base type· of ID is NCName.

For compatibility (see Terminology (§1.5)) ID should be used only on attributes.

Note: Uniqueness of items validated as ID is not part of this datatype as defined here. When this specification is used in conjunction with [XML Schema Part 1: Structures], uniqueness is enforced at a different level, not as part of datatype validity; see Validation Rule: Validation Root Valid (ID/IDREF) in [XML Schema Part 1: Structures].
3.4.8.1 Facets

ID has the following ·constraining facets·:

ID has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from ID may also specify values for the following·constraining facets·:

ID has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.9 IDREF

[Definition:]   IDREF represents the IDREF attribute type from [XML].  The ·value space· of IDREF is the set of all strings that ·match· the NCName production in [Namespaces in XML].  The ·lexical space· of IDREF is the set of strings that ·match· the NCName production in [Namespaces in XML]. The ·base type· of IDREF is NCName.

For compatibility (see Terminology (§1.5)) this datatype should be used only on attributes.

Note: Existence of referents for items validated as IDREF is not part of this datatype as defined here. When this specification is used in conjunction with [XML Schema Part 1: Structures], referential integrity is enforced at a different level, not as part of datatype validity; see Validation Rule: Validation Root Valid (ID/IDREF) in [XML Schema Part 1: Structures].
3.4.9.1 Facets

IDREF has the following ·constraining facets·:

IDREF has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from IDREF may also specify values for the following·constraining facets·:

IDREF has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.10 IDREFS

[Definition:]   IDREFS represents the IDREFS attribute type from [XML].  The ·value space· of IDREFS is the set of finite, non-zero-length sequences of IDREFs. The ·lexical space· of IDREFS is the set of space-separated lists of tokens, of which each token is in the ·lexical space· of IDREF. The ·item type· of IDREFS is IDREF.

For compatibility (see Terminology (§1.5)) IDREFS should be used only on attributes.

Note: Existence of referents for items validated as IDREFS is not part of this datatype as defined here. When this specification is used in conjunction with [XML Schema Part 1: Structures], referential integrity is enforced at a different level, not as part of datatype validity; see Validation Rule: Validation Root Valid (ID/IDREF) in [XML Schema Part 1: Structures].
3.4.10.1 Facets

IDREFS has the following ·constraining facets·:

IDREFS has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from IDREFS may also specify values for the following·constraining facets·:

IDREFS has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.11 ENTITY

[Definition:]   ENTITY represents the ENTITY attribute type from [XML].  The ·value space· of ENTITY is the set of all strings that ·match· the NCName production in [Namespaces in XML] and have been declared as an unparsed entity in a document type definition. The ·lexical space· of ENTITY is the set of all strings that ·match· the NCName production in [Namespaces in XML]. The ·base type· of ENTITY is NCName.

Note:  The ·value space· of ENTITY is scoped to a specific instance document.

For compatibility (see Terminology (§1.5)) ENTITY should be used only on attributes.

3.4.11.1 Facets

ENTITY has the following ·constraining facets·:

ENTITY has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from ENTITY may also specify values for the following·constraining facets·:

ENTITY has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.12 ENTITIES

[Definition:]   ENTITIES represents the ENTITIES attribute type from [XML]. The ·value space· of ENTITIES is the set of finite, non-zero-length sequences of ·ENTITY·s that have been declared as unparsed entities in a document type definition. The ·lexical space· of ENTITIES is the set of space-separated lists of tokens, of which each token is in the ·lexical space· of ENTITY. The ·item type· of ENTITIES is ENTITY.

Note:  The ·value space· of ENTITIES is scoped to a specific instance document.

For compatibility (see Terminology (§1.5)) ENTITIES should be used only on attributes.

3.4.12.1 Facets

ENTITIES has the following ·constraining facets·:

ENTITIES has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from ENTITIES may also specify values for the following·constraining facets·:

ENTITIES has the following values for its ·fundamental facets·:

  • ordered = false
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.13 integer

[Definition:]   integer is ·derived· from decimal by fixing the value of ·fractionDigits· to be 0 and disallowing the trailing decimal point. This results in the standard mathematical concept of the integer numbers. The ·value space· of integer is the infinite set {...,-2,-1,0,1,2,...}.  The ·base type· of integer is decimal.

3.4.13.3 Facets

integer has the following ·constraining facets·:

integer and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

integer has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from integer may also specify values for the following·constraining facets·:

integer has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.4.14 nonPositiveInteger

[Definition:]   nonPositiveInteger is ·derived· from integer by setting the value of ·maxInclusive· to be 0.  This results in the standard mathematical concept of the non-positive integers. The ·value space· of nonPositiveInteger is the infinite set {...,-2,-1,0}.  The ·base type· of nonPositiveInteger is integer.

3.4.14.3 Facets

nonPositiveInteger has the following ·constraining facets·:

nonPositiveInteger and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

nonPositiveInteger has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from nonPositiveInteger may also specify values for the following·constraining facets·:

nonPositiveInteger has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.4.15 negativeInteger

[Definition:]   negativeInteger is ·derived· from nonPositiveInteger by setting the value of ·maxInclusive· to be -1.  This results in the standard mathematical concept of the negative integers.  The ·value space· of negativeInteger is the infinite set {...,-2,-1}.  The ·base type· of negativeInteger is nonPositiveInteger.

3.4.15.3 Facets

negativeInteger has the following ·constraining facets·:

negativeInteger and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

negativeInteger has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from negativeInteger may also specify values for the following·constraining facets·:

negativeInteger has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.4.16 long

[Definition:]   long is ·derived· from integer by setting the value of ·maxInclusive· to be 9223372036854775807 and ·minInclusive· to be -9223372036854775808. The ·base type· of long is integer.

3.4.16.3 Facets

long has the following ·constraining facets·:

long and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

long has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from long may also specify values for the following·constraining facets·:

long has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.17 int

[Definition:]   int is ·derived· from long by setting the value of ·maxInclusive· to be 2147483647 and ·minInclusive· to be -2147483648.  The ·base type· of int is long.

3.4.17.3 Facets

int has the following ·constraining facets·:

int and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

int has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from int may also specify values for the following·constraining facets·:

int has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.18 short

[Definition:]   short is ·derived· from int by setting the value of ·maxInclusive· to be 32767 and ·minInclusive· to be -32768.  The ·base type· of short is int.

3.4.18.3 Facets

short has the following ·constraining facets·:

short and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

short has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from short may also specify values for the following·constraining facets·:

short has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.19 byte

[Definition:]   byte is ·derived· from short by setting the value of ·maxInclusive· to be 127 and ·minInclusive· to be -128. The ·base type· of byte is short.

3.4.19.3 Facets

byte has the following ·constraining facets·:

byte and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

byte has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from byte may also specify values for the following·constraining facets·:

byte has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.20 nonNegativeInteger

[Definition:]   nonNegativeInteger is ·derived· from integer by setting the value of ·minInclusive· to be 0.  This results in the standard mathematical concept of the non-negative integers. The ·value space· of nonNegativeInteger is the infinite set {0,1,2,...}.  The ·base type· of nonNegativeInteger is integer.

3.4.20.3 Facets

nonNegativeInteger has the following ·constraining facets·:

nonNegativeInteger and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

nonNegativeInteger has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from nonNegativeInteger may also specify values for the following·constraining facets·:

nonNegativeInteger has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.4.21 unsignedLong

[Definition:]   unsignedLong is ·derived· from nonNegativeInteger by setting the value of ·maxInclusive· to be 18446744073709551615. The ·base type· of unsignedLong is nonNegativeInteger.

3.4.21.3 Facets

unsignedLong has the following ·constraining facets·:

unsignedLong and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

unsignedLong has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from unsignedLong may also specify values for the following·constraining facets·:

unsignedLong has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.22 unsignedInt

[Definition:]   unsignedInt is ·derived· from unsignedLong by setting the value of ·maxInclusive· to be 4294967295.  The ·base type· of unsignedInt is unsignedLong.

3.4.22.3 Facets

unsignedInt has the following ·constraining facets·:

unsignedInt and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

unsignedInt has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from unsignedInt may also specify values for the following·constraining facets·:

unsignedInt has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.23 unsignedShort

[Definition:]   unsignedShort is ·derived· from unsignedInt by setting the value of ·maxInclusive· to be 65535.  The ·base type· of unsignedShort is unsignedInt.

3.4.23.3 Facets

unsignedShort has the following ·constraining facets·:

unsignedShort and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

unsignedShort has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from unsignedShort may also specify values for the following·constraining facets·:

unsignedShort has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.24 unsignedByte

[Definition:]   unsignedByte is ·derived· from unsignedShort by setting the value of ·maxInclusive· to be 255. The ·base type· of unsignedByte is unsignedShort.

3.4.24.3 Facets

unsignedByte has the following ·constraining facets·:

unsignedByte and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

unsignedByte has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from unsignedByte may also specify values for the following·constraining facets·:

unsignedByte has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = true
  • cardinality = finite
  • numeric = true

3.4.25 positiveInteger

[Definition:]   positiveInteger is ·derived· from nonNegativeInteger by setting the value of ·minInclusive· to be 1. This results in the standard mathematical concept of the positive integer numbers. The ·value space· of positiveInteger is the infinite set {1,2,...}.  The ·base type· of positiveInteger is nonNegativeInteger.

3.4.25.3 Facets

positiveInteger has the following ·constraining facets·:

positiveInteger and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

positiveInteger has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from positiveInteger may also specify values for the following·constraining facets·:

positiveInteger has the following values for its ·fundamental facets·:

  • ordered = total
  • bounded = false
  • cardinality = countably infinite
  • numeric = true

3.4.26 yearMonthDuration

[Definition:]   yearMonthDuration is a datatype ·derived· from duration by restricting its ·lexical representations· to instances of yearMonthDurationLexicalRep.  The ·value space· of yearMonthDuration is therefore that of duration restricted to those whose ·seconds· property is 0.  This results in a duration datatype which is totally ordered.

Note: The always-zero ·seconds· is formally retained in order that yearMonthDuration's (abstract) value space truly be a subset of that of duration  An obvious implementation optimization is to ignore the zero and implement yearMonthDuration values simply as integer values.
3.4.26.1 The yearMonthDuration Lexical Mapping

The lexical space is reduced from that of duration by disallowing duDayFrag and duTimeFrag fragments in the ·lexical representations·.

The lexical space of yearMonthDuration consists of strings which match the regular expression '-?P((([0-9]+Y)([0-9]+M)?)|([0-9]+M))' or the expression '-?P[0-9]+(Y([0-9]+M)?|M)', but the formal definition of yearMonthDuration uses a simpler regular expression in its ·pattern· facet: '[^DT]*'. This pattern matches only strings of characters which contain no 'D' and no 'T', thus restricting the ·lexical space· of duration to strings with no day, hour, minute, or seconds fields.

The ·canonical mapping· is that of duration restricted in its range to the ·lexical space· (which reduces its domain to omit any values not in the yearMonthDuration value space).

Note: The yearMonthDuration value whose ·months· and ·seconds· are both zero has no ·canonical representation· in this datatype since its ·canonical representation· in duration ('PT0S') is not in the ·lexical space· of yearMonthDuration.
3.4.26.2 Facets

yearMonthDuration has the following ·constraining facets·:

yearMonthDuration and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

yearMonthDuration has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from yearMonthDuration may also specify values for the following·constraining facets·:

yearMonthDuration has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

3.4.27 dayTimeDuration

[Definition:]   dayTimeDuration is a datatype ·derived· from duration by restricting its ·lexical representations· to instances of dayTimeDurationLexicalRep. The ·value space· of dayTimeDuration is therefore that of duration restricted to those whose ·months· property is 0.  This results in a duration datatype which is totally ordered.

3.4.27.1 The dayTimeDuration Lexical Space

The lexical space is reduced from that of duration by disallowing duYearFrag and duMonthFrag fragments in the ·lexical representations·.

The lexical space of dayTimeDuration consists of strings in the ·lexical space· of duration which match the regular expression '[^YM]*[DT].*'; this pattern eliminates all durations with year or month fields, leaving only those with day, hour, minutes, and/or seconds fields.

The ·canonical mapping· is that of duration restricted in its range to the ·lexical space· (which reduces its domain to omit any values not in the yearMonthDuration value space).

3.4.27.2 Facets

dayTimeDuration has the following ·constraining facets·:

dayTimeDuration and all datatypes derived from it by restriction have the following ·constraining facets· with fixed values; these facets must not be changed from the values shown:

dayTimeDuration has the following ·constraining facets· with the values shown; these facets may be further restricted in the derivation of new types:

Datatypes derived by restriction from dayTimeDuration may also specify values for the following·constraining facets·:

dayTimeDuration has the following values for its ·fundamental facets·:

  • ordered = partial
  • bounded = false
  • cardinality = countably infinite
  • numeric = false

4 Datatype components

The preceding sections of this specification have described datatypes in a way largely independent of their use in the particular context of schema-aware processing as defined in [XML Schema Part 1: Structures].

This section presents the mechanisms necessary to integrate datatypes into the context of [XML Schema Part 1: Structures], mostly in terms of the Schema Component abstraction introduced there. The account of datatypes given in this specification is also intended to be useful in other contexts. Any specification or other formal system intending to use datatypes as defined above, particularly if definition of new datatypes via facet-based restriction is envisaged, will need to provide analogous mechanisms for some, but not necessarily all, of what follows below. For example, the {target namespace} and {final} properties are required because of particular aspects of [XML Schema Part 1: Structures] which are not in principle necessary for the use of datatypes as defined here.

The following sections provide full details on the properties and significance of each kind of schema component involved in datatype definitions. For each property, the kinds of values it is allowed to have is specified.  Any property not identified as optional is required to be present; optional properties which are not present have absent as their value. Any property identified as a having a set, subset or ·list· value may have an empty value unless this is explicitly ruled out: this is not the same as absent. Any property value identified as a superset or a subset of some set may be equal to that set, unless a proper superset or subset is explicitly called for.

For more information on the notion of schema components, see Schema Component Details of [XML Schema Part 1: Structures].

[Definition:]  A component may be referred to as the owner of its properties, and of the values of those properties.

next sub-section4.1 Simple Type Definition

Simple Type Definitions provide for:

  • In the case of ·primitive· datatypes, identifying a datatype with its definition in this specification.
  • In the case of ·constructed· datatypes, defining the datatype in terms of other datatypes.
  • Attaching a QName to the datatype.

4.1.1 The Simple Type Definition Schema Component

The Simple Type Definition schema component has the following properties:

Simple type definitions are identified by their {name} and {target namespace}.  Except for anonymous Simple Type Definitions (those with no {name}), Simple Type Definitions must be uniquely identified within a schema. Within a valid schema, each Simple Type Definition uniquely determines one datatype. The ·value space·, ·lexical space·, ·lexical mapping·, etc., of a Simple Type Definition are the ·value space·, ·lexical space·, etc., of the datatype uniquely determined (or "defined") by that Simple Type Definition.

If {variety} is ·atomic· then the ·value space· of the datatype defined will be a subset of the ·value space· of {base type definition} (which is a subset of the ·value space· of {primitive type definition}). If {variety} is ·list· then the ·value space· of the datatype defined will be the set of finite-length sequences of values from the ·value space· of {item type definition}. If {variety} is ·union· then the ·value space· of the datatype defined will be the union of the ·value space·s of each Simple Type Definition in {member type definitions}.

If {variety} is ·atomic· then the {variety} of {base type definition} must be ·atomic·, unless the {base type definition} is anySimpleType. If {variety} is ·list· then the {variety} of {item type definition} must be either ·atomic· or ·union·. If {variety} is ·union· then {member type definitions} must be a list of Simple Type Definitions.

The {facets} property determines the ·value space· and ·lexical space· of the datatype being defined by imposing constraints which must be satisfied by values and ·lexical representations·.

The {fundamental facets} property provides some basic information about the datatype being defined: its cardinality, whether an ordering is defined for it by this specification, whether it has upper and lower bounds, and whether it is numeric.

If {final} is the empty set then the type can be used in deriving other types; the explicit values restriction, list and union prevent further derivations of Simple Type Definitions by ·facet-based restriction·, ·list· and ·union· respectively; the explicit value extension prevents any derivation of Complex Type Definitions by extension.

The {context} property is only relevant for anonymous type definitions, for which its value is the component in which this type definition appears as the value of a property, e.g. {item type definition} or {base type definition}.

4.1.2 XML Representation of Simple Type Definition Schema Components

The XML representation for a Simple Type Definition schema component is a <simpleType> element information item. The correspondences between the properties of the information item and properties of the component are as follows:

XML Representation SummarysimpleType Element Information Item

<simpleType
  final = (#all | List of (list | union | restriction | extension))
  id = ID
  name = NCName
  {any attributes with non-schema namespace . . .}>
  Content: (annotation?, (restriction | list | union))
</simpleType>

<restriction
  base = QName
  id = ID
  {any attributes with non-schema namespace . . .}>
  Content: (annotation?, (simpleType?, (minExclusive | minInclusive | maxExclusive | maxInclusive | totalDigits | fractionDigits | maxScale | minScale | length | minLength | maxLength | enumeration | whiteSpace | pattern)*))
</restriction>

<list
  id = ID
  itemType = QName
  {any attributes with non-schema namespace . . .}>
  Content: (annotation?, simpleType?)
</list>

<union
  id = ID
  memberTypes = List of QName
  {any attributes with non-schema namespace . . .}>
  Content: (annotation?, simpleType*)
</union>

Simple Type Definition Schema Component
Property
Representation
 
The actual value of the name [attribute], if present on the <simpleType> element, otherwise absent
 
The actual value of the targetNamespace [attribute] of the parent schema element information item, if present, otherwise absent.
 
The appropriate case among the following:
1 If the <restriction> alternative is chosen, then the type definition resolved to by the actual value of the base [attribute] of <restriction>, if present, otherwise the type definition corresponding to the <simpleType> among the [children] of <restriction>.
2 If the <list> or <union> alternative is chosen, then ·anySimpleType·.
 
A subset of {restriction, extension, list, union}, determined as follows. [Definition:]  Let FS be the actual value of the final [attribute], if present, otherwise the actual value of the finalDefault [attribute] of the ancestor schema element, if present, otherwise the empty string. Then the property value is the appropriate case among the following:
1 If ·FS· is the empty string, then the empty set;
2 If ·FS· is '#all', then {restriction, extension, list, union};
3 otherwise Consider ·FS· as a space-separated list, and include restriction if 'restriction' is in that list, and similarly for extension, list and union.
 
The appropriate case among the following:
1 If the name [attribute] is present, then absent
2 otherwise the appropriate case among the following:
2.1 If the parent element information item is <attribute>, then the corresponding Attribute Declaration
2.2 If the parent element information item is <element>, then the corresponding Element Declaration
2.3 If the parent element information item is <list> or <union>, then the Simple Type Definition corresponding to the grandparent <simpleType> element information item
2.4 otherwise (the parent element information item is <restriction>), the appropriate case among the following:
2.4.1 If the grandparent element information item is <simpleType>, then the Simple Type Definition corresponding to the grandparent
2.4.2 otherwise (the grandparent element information item is <simpleContent>), the Simple Type Definition which is the {content type} of the Complex Type Definition corresponding to the great-grandparent <complexType> element information item.
 
If the <list> alternative is chosen, then list, otherwise if the <union> alternative is chosen, then union, otherwise (the <restriction> alternative is chosen) the {variety} of the {base type definition}.
 
The appropriate case among the following:
1 If the <restriction> alternative is chosen, then a set of Constraining Facet components constituting a restriction of the {facets} of the {base type definition} with respect to a set of Constraining Facet components corresponding to the appropriate element information items among the [children] of <restriction> (i.e. those which specify facets, if any), as defined in Schema Component Constraint: Simple Type Restriction (Facets) .
2 If the <list> alternative is chosen, then a set with one member, a whiteSpace facet with {value} = collapse and {fixed} = true.
3 otherwise the empty set
 
A sequence of Annotation components corresponding to
1 the <annotation> element information item in the [children], if present;
2 If the <restriction> alternative is chosen, then the <annotation> element information item in the [children] of the <restriction>, if present;
3 If the <list> alternative is chosen, then the <annotation> element information item in the [children] of the <list>, if present;
4 If the <union> alternative is chosen, then the <annotation> element information item in the [children] of the <union>, if present.
[Definition:]  The ancestors of a type definition are its {base type definition} and the ·ancestors· of its {base type definition}. (The ancestors of a Simple Type Definition T in the type hierarchy are themselves type definitions; they are distinct from the XML elements which may be ancestors, in the XML document hierarchy, of the <simpleType> element which declares T.)
If the {variety} is atomic, the following additional property mapping also applies:
Property
Representation
 
If the corresponding Simple Type Definition is ·special· or ·primitive·, then as specified in Built-in Simple Type Definitions (§4.1.6), otherwise, among the ·ancestors· of this Simple Type Definition, that Simple Type Definition which corresponds to a ·primitive· datatype.
Example
An electronic commerce schema might define a datatype called 'SKU' (the barcode number that appears on products) from the ·built-in· datatype string by supplying a value for the ·pattern· facet.
<simpleType name='SKU'>
    <restriction base='string'>
      <pattern value='\d{3}-[A-Z]{2}'/>
    </restriction>
</simpleType>
In this case, 'SKU' is the name of the new ·user-defined· datatype, string is its ·base type· and ·pattern· is the facet.
If the {variety} is list, the following additional property mappings also apply:
List Simple Type Definition Schema Component
Property
Representation
 
The appropriate case among the following:
1 If the {base type definition} is ·anySimpleType·, then the Simple Type Definition (a) resolved to by the actual value of the itemType [attribute] of <list>, or (b) corresponding to the <simpleType> among the [children] of <list>, whichever is present.
Note: A <list> element will invariably be present; it will invariably have either an itemType [attribute] or a <simpleType> [child], but not both.
Example
A system might want to store lists of floating point values.
<simpleType name='listOfFloat'>
  <list itemType='float'/>
</simpleType>
In this case, listOfFloat is the name of the new ·user-defined· datatype, float is its ·item type· and ·list· is the derivation method.
If the {variety} is union, the following additional property mappings also apply:
Property
Representation
 
The appropriate case among the following:
1 If the {base type definition} is ·anySimpleType·, then [Definition:]  define the explicit members as a sequence of the Simple Type Definitions (a) resolved to by the items in the actual value of the memberTypes [attribute] of <union>, if any and (b), corresponding to the <simpleType>s among the [children] of <union>, if any, in order. The actual value is then formed by replacing any union Simple Type Definitions in the ·explicit members· with the members of their {member type definitions}, in order.
Note: A <union> element will invariably be present; it will invariably have either a memberTypes [attribute] or one or more <simpleType> [children], or both.
Example
As an example, taken from a typical display oriented text markup language, one might want to express font sizes as an integer between 8 and 72, or with one of the tokens "small", "medium" or "large".  The ·union· Simple Type Definition below would accomplish that.
<xsd:attribute name="size">
  <xsd:simpleType>
    <xsd:union>
      <xsd:simpleType>
        <xsd:restriction base="xsd:positiveInteger">
          <xsd:minInclusive value="8"/>
          <xsd:maxInclusive value="72"/>
        </xsd:restriction>
      </xsd:simpleType>
      <xsd:simpleType>
        <xsd:restriction base="xsd:NMTOKEN">
          <xsd:enumeration value="small"/>
          <xsd:enumeration value="medium"/>
          <xsd:enumeration value="large"/>
        </xsd:restriction>
      </xsd:simpleType>
    </xsd:union>
  </xsd:simpleType>
</xsd:attribute>
<p>
<font size='large'>A header</font>
</p>
<p>
<font size='12'>this is a test</font>
</p>

A datatype can be ·constructed· from a ·primitive· datatype or an ·ordinary· datatype by one of three means: by ·facet-based restriction·, by ·list· or by ·union·.

4.1.4 Simple Type Definition Validation Rules

Validation Rule: Facet Valid
A value in a ·value space· is facet-valid with respect to a ·constraining facet· component if and only if:
1 the value is facet-valid with respect to the particular ·constraining facet· as specified below.
Validation Rule: Datatype Valid
A string is datatype-valid with respect to a datatype definition if and only if:
1 it ·matches· a literal in the ·lexical space· of the datatype, determined as follows:
1.1 if ·pattern· is a member of {facets}, then the string must be pattern valid (§4.3.4.4);
1.2 if ·pattern· is not a member of {facets}, then
1.2.1 if {variety} is ·atomic· then the string must ·match· a literal in the ·lexical space· of {base type definition}
1.2.2 if {variety} is ·list· then the string must be a sequence of space-separated tokens, each of which ·match·es a literal in the ·lexical space· of {item type definition}
1.2.3 if {variety} is ·union· then the string must ·match· a literal in the ·lexical space· of at least one member of {member type definitions}
2 the value denoted by the literal ·matched· in the previous step is a member of the ·value space· of the datatype, as determined by it being Facet Valid (§4.1.4) with respect to each member of {facets} (except for ·pattern·).

4.1.5 Constraints on Simple Type Definition Schema Components

Schema Component Constraint: applicable facets
The ·constraining facet·s which are allowed to be members of {facets} depend on the {variety} and {primitive type definition} of the type, as follows:

If {variety} is absent, then no facets are applicable. (This is true for anySimpleType.)

If {variety} is list, then the applicable facets are length, minLength, maxLength, pattern, enumeration, and whiteSpace.

If {variety} is union, then the applicable facets are pattern and enumeration.

If {variety} is atomic, and {primitive type definition} is absent then no facets are applicable. (This is true for anyAtomicType.)

In all other cases ({variety} is atomic and {primitive type definition} is not absent), then the applicable facets are shown in the table below.

{primitive type definition}applicable {facets}
stringlength, minLength, maxLength, pattern, enumeration, whiteSpace
booleanpattern, whiteSpace
floatpattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
doublepattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
decimaltotalDigits, fractionDigits, pattern, whiteSpace, enumeration, maxInclusive, maxExclusive, minInclusive, minExclusive
precisionDecimaltotalDigits, maxScale, minScale, pattern, whiteSpace, enumeration, maxInclusive, maxExclusive, minInclusive, minExclusive
durationpattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
dateTimepattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
timepattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
datepattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
gYearMonthpattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
gYearpattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
gMonthDaypattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
gDaypattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
gMonthpattern, enumeration, whiteSpace, maxInclusive, maxExclusive, minInclusive, minExclusive
hexBinarylength, minLength, maxLength, pattern, enumeration, whiteSpace
base64Binarylength, minLength, maxLength, pattern, enumeration, whiteSpace
anyURIlength, minLength, maxLength, pattern, enumeration, whiteSpace
QNamelength, minLength, maxLength, pattern, enumeration, whiteSpace
NOTATIONlength, minLength, maxLength, pattern, enumeration, whiteSpace

4.1.6 Built-in Simple Type Definitions

Property
Value
 
'anySimpleType'
 
'http://www.w3.org/2001/XMLSchema'
 
The empty set
 
absent
 
 
The empty set
 
The empty set
 
absent
 
absent
 
absent
 
absent
 
The empty sequence

The definition of anySimpleType is the root of the Simple Type Definition hierarchy; as such it mediates between the other simple type definitions, which all eventually trace back to it via their {base type definition} properties, and the definition of anyType, which is its {base type definition}.

The Simple Type Definition of anyAtomicType is present in every schema.  It has the following properties:

Property
Value
 
'anyAtomicType'
 
'http://www.w3.org/2001/XMLSchema'
 
The empty set
 
absent
 
 
The empty set
 
The empty set
 
atomic
 
absent
 
absent
 
absent
 
The empty sequence

Simple type definitions for all the built-in primitive datatypes, namely string, boolean, float, double, decimal, precisionDecimal, dateTime, duration, time, date, gMonth, gMonthDay, gDay, gYear, gYearMonth, hexBinary, base64Binary, anyURI are present by definition in every schema.  All have a very similar structure, with only the {name}, the {base type definition} (which is self-referential), the {fundamental facets} and in one case the {facets} varying from one to the next:

Property
Value
 
[as appropriate]
 
'http://www.w3.org/2001/XMLSchema'
 
 
The empty set
 
atomic
 
 
{a whiteSpace facet with {value} = collapse and {fixed} = true in all cases except string, which has {value} = preserve and {fixed} = false}
 
[as appropriate]
 
absent
 
absent
 
absent
 
The empty sequence

Similarly, Simple Type Definitions for all the built-in derived datatypes are present by definition in every schema, with properties as specified in Other Built-in Datatypes (§3.4) and as represented in XML in Schema for Schema Documents (Datatypes) (normative) (§A).

previous sub-section next sub-section4.2 Fundamental Facets

        4.2.1 ordered
        4.2.2 bounded
        4.2.3 cardinality
        4.2.4 numeric
Issue (RQ-24-1i):RQ-24 (systematic approach to facets)

The decision that the four informational facets, each of which have only one property, will be lumped into one facet having four properties has been rescinded by the WG before it made it into the text of this specification.

[Definition:]  Each fundamental facet is a schema component that provides a limited piece of information about some aspect of each datatype.  For example, cardinality is a ·fundamental facet·.  Most ·fundamental facets· are given a value fixed with each primitive datatype's definition, and this value is not changed by subsequent ·derivations· (even when it would perhaps be reasonable to expect an application to give a more accurate value based on the constraining facets used to define the ·derivation·).  The cardinality and bounded facets are exceptions to this rule; their values may change as a result of certain ·derivations·.

Note: Schema components are identified by kind.  "Fundamental" is not a kind of component.  Each kind of ·fundamental facet· ("ordered", "bounded", etc.) is a separate kind of schema component.

The term [Definition:]  Fundamental Facet refers to any of the components defined in this section.

A ·fundamental facet· can occur only in the {fundamental facets} of a Simple Type Definition, and this is the only place where ·fundamental facet· components occur.    Each kind of ·fundamental facet· component occurs (once) in each Simple Type Definition's {fundamental facets} set.

Note: The value of any ·fundamental facet· component can always be calculated from other properties of its ·owner·.  Fundamental facets are not required for schema processing, but some applications use them.

4.2.1 ordered

Some datatypes have a nontrivial order relation associated with their value spaces (see Order (§2.2.3)).  (There is always a trivial partial ordering wherein every value pair that is not equal is incomparable, which could be associated with any value space.)  The ordered facet value is a "near-boolean": one of false, partial, and total, as prescribed in Fundamental Facets (§F.1) for ·primitive· datatypes; all ·ordinary· datatypes inherit this value without change.  The value for a ·list· is always false and the value for a ·union· is computed as described below.

A false value means no order is prescribed; a total value assures that the prescribed order is a total order; a partial value means that the prescribed order is a partial order, but not (for the primitive type in question) a total order. Derivation of new datatypes from datatypes with partial orders may impose constraints which make the effective ordering either a trivial order or a non-trivial total order, but the value of the ordered facet is not changed to reflect this.

[Definition:]  A ·value space·, and hence a datatype, is said to be ordered if this specification prescribes a non-trivial order for that ·value space·.

Note: Some of the "real-world" datatypes which are the basis for those defined herein are ordered in some applications, even though no order is prescribed for schema-processing purposes.  For example, boolean is sometimes ordered, and string and ·list· datatypes ·constructed· from ordered ·atomic· datatypes are sometimes given "lexical" orderings.  They are not ordered for schema-processing purposes.
4.2.1.1 The ordered Schema Component

{value} depends on the ·owner's· {variety}, {facets}, and {member type definitions}.

The appropriate case among the following must be true:
1 If the ·owner's· {variety} is atomic, then the appropriate case among the following must be true:
1.1 If the ·owner· is ·primitive·, then {value} is as specified in the table in Fundamental Facets (§F.1).
2 If the ·owner's· {variety} is list, then {value} is false.
3 otherwise the ·owner's· {variety} is union; the appropriate case among the following must be true:
3.1 If every member of the ·owner's· {member type definitions} has {variety} atomic and has the same {primitive type definition}, then {value} is the same as the ordered component's {value} in that primitive type definition's {fundamental facets}.
3.2 If each member of the ·owner's· {member type definitions} has an ordered component in its {fundamental facets} whose {value} is false, then {value} is false.
3.3 otherwise {value} is partial.

4.2.2 bounded

Some ordered datatypes have the property that there is one value greater than or equal to every other value, and another that is less than or equal to every other value.  (In the case of ·ordinary· datatypes, these two values are not necessarily in the value space of the derived datatype, but they must be in the value space of the primitive datatype from which they have been derived.) The bounded facet value is boolean and is generally true for such bounded datatypes.  However, it will remain false when the mechanism for imposing such a bound is difficult to detect, as, for example, when the boundedness occurs because of derivation using a pattern component.

4.2.2.1 The bounded Schema Component

{value} depends on the ·owner's· {variety}, {facets} and {member type definitions}.

When the ·owner· is ·primitive·, {value} is as specified in the table in Fundamental Facets (§F.1).  Otherwise, when the ·owner's· {variety} is atomic, if one of minInclusive or minExclusive and one of maxInclusive or maxExclusive are members of the ·owner's· {facets} set, then {value} is true; otherwise {value} is false.

When the ·owner's· {variety} is list, {value} is false.

When the ·owner's· {variety} is union, if {value} is true for every member of the ·owner's· {member type definitions} set and all of these share a common ancestor, then {value} is true; otherwise {value} is false.