XBRL Dimensions 1.0

Candidate Recommendation, dated 2006-03-20

Copyright © 2005, 2006, XBRL International Inc., All Rights Reserved

 

This version:

XDT-CR2-2006-03-20.htm

 

is NON-NORMATIVE. The normative version is in the document XDT-CR2-2006-03-20.rtf.

Authors                        

Name

Contact

Affiliation

Ignacio Hernández-Ros

ihr@xbrl.org

XBRL International Inc.

Hugh Wallis

hughwallis@xbrl.org

XBRL International Inc.

Contributors

Name

Contact

Affiliation

David vun Kannon

david.k.vun.kannon@us.pwc.com

PricewaterhouseCoopers

Walter Hamscher

walter@hamscher.com

Standard Advantage / Consultant to PricewaterhouseCoopers

Charles Hoffman

charleshoffman@olywa.net

UBmatrix

Cliff Binstock

cliff.binstock@ubmatrix.com

UBmatrix

Herm Fischer

herman.fischer@ubmatrix.com

UBmatrix

Paul Warren

pdw@decisionsoft.com

DecisionSoft

Abstract

This specification allows XBRL taxonomy authors to define and restrict dimensional information that instance authors may use in the segment and scenario elements of the context element of XBRL instance documents. It satisfies XBRL International’s dimensional taxonomy requirements [DIM-REQ]. It is a modular extension to the XBRL 2.1, Specification [XBRL]. It provides a generalised mechanism to define dimensional metadata and to reference it in XBRL instances. Its architecture is such that any XBRL artefacts (instances and their Discoverable Taxonomy Sets) that conform to this specification also conform to the base specification [XBRL] and may be processed without error by any processor that is capable of correctly processing XBRL artefacts, even if those processors are unaware of this modular extension. It is also designed in such a way that it makes maximum use of components of the XBRL 2.1, Specification [XBRL] in its components so as to require a minimum amount of retooling of applications in order to be implemented. Accordingly certain compromises have, of necessity, been made in the design that would not have been made if 100% compatibility with the base specification had not been a requirement.

Status

Circulation of this Candidate Recommendation is unrestricted. Recipients of this draft are invited to submit comments to the authors and contributors, and to submit notification of any relevant patent rights of which they are aware and to provide supporting documentation.

Table of Contents

XBRL Dimensions 1.0. i

1        Introduction (non-normative) 1

1.1       Background (non-normative) 1

1.1.1      Primary taxonomies. 2

1.1.2      Domain members taxonomies. 2

1.1.3      Template taxonomies. 2

1.2       Relationship to other work (non-normative) 3

1.3       Terminology (non-normative) 3

1.4       Document conventions (non-normative) 5

1.5       Namespaces (normative) 6

2        Dimensional Taxonomies (normative) 7

2.1       Architecture (normative) 7

2.2       Hypercubes (normative) 8

2.2.1      Constraints on hypercube declarations. 8

2.2.2      Arc role http://xbrl.org/int/dim/arcrole/hypercube-dimension. 8

2.3       Primary item declarations and hypercubes (normative) 10

2.3.1      The “all” and “notAll” arc roles. 10

2.3.2      The required “xbrldt:contextElement” attribute on has-hypercube arcs. 13

2.3.3      The optional “xbrldt:closed” attribute on has-hypercube arcs. 14

2.4       Dimensional relationship sets (normative) 14

2.4.1      Taxonomy validation impact of dimensional relationship sets. 17

2.4.2      Instance validation impact of dimensional relationship sets. 17

2.4.3      Constraints on the value of a xbrldt:targetRole attribute. 17

2.5       Dimensions (normative) 17

2.5.1      Constraints on the dimension declaration. 18

2.5.2      Typed dimensions. 18

2.5.3      Explicit dimensions. 19

2.6       Domain-member relations and inheritance (normative) 23

2.6.1      Processing of multiple has-hypercube arcs. 23

2.7       Element declarations and linkbase syntax (normative) 26

2.8       Default values for dimensions (normative) 26

2.8.1      Arc role http://xbrl.org/int/dim/arcrole/dimension-default 27

3        Dimensions in instance documents (normative) 28

3.1       Validation of primary items (normative) 28

3.1.1      Constraints on the validity of primary items. 29

3.1.2      Mutual validity of hypercubes in a base set 29

3.1.3      Individual validity of hypercubes. 30

3.1.4      Validity of dimensions. 30

3.2       Definition of dimensionally equal facts (normative) 36

A        Errors (normative) 37

B        Requirements Reference (non-normative) 39

C       References (non-normative) 42

D       Schemas (normative) 43

xbrldt-2005.xsd (normative) 43

xbrldi-2006.xsd (normative) 45

E        Intellectual Property Status (non-normative) 46

F        Acknowledgements (non-normative) 46

G       Document History (non-normative) 46

H       Approval process (non-normative) 50

 

Table of Examples

Example 1. Hypercube of the Team and Drink typed dimensions. 9

Example 2. A primary item declaration with a single hypercube. 10

Example 3. A primary item declaration with two hypercubes composed by conjunction “all” and “notAll”  11

Example 4. A primary item with domain members, a negated hypercube limits the values for the country dimension of p_CostOfSales removing m_India from the domain. 13

Example 5. Two closed hypercubes. 14

Example 6. When the same dimension must have different domain members, partitioning among different extended link roles and a mechanism to indicate the extended link flow must be implemented. xbrldt:targetRole is used for this purpose. 15

Example 7. The arc in base set link2 is in the DRS of the arc in base set link1. 16

Example 8. Typed dimension elements and their domains. 18

Example 9. An explicit dimension element and its domain. 20

Example 10. Two primary item declarations inheriting a hypercube. 23

Example 11. Inheritance and processing of multiple hypercubes. 24

Example 12. Multiple All hypercubes in a domain-member network. 25

Example 13. Automatic inference of default values for summation-item relationships. 26

Example 14. Primary item at the root of a dimensional relationship set 29

Example 15. Dimensionally invalid context containing two references to the same dimension. 31

Example 16. A segment that is valid with respect to a hypercube. 31

Example 17. Two segments not dimensionally valid with respect to a hypercube. 32

Example 18. Valid and Invalid Hypercubes according to its dimensions and domains. 32

Example 19. Primary items those are not dimensionally valid because they violate their hypercube constraints  33

Example 20. Two dimensions referenced in the segment of a context 33

Example 21. Two dimensions referenced in the scenario of a context 34

Example 22. A context that is dimensionally valid with respect to a hypercube with two explicit dimensions  35

Example 23. Multiple contexts and the result of the d-equal operation. 36

 

Table of Figures

Figure 1. Relationships to define constraints on the content and meaning of contexts. 7

Figure 2. Discovery relation between relationship A and relationship B. 16

Figure 3. Combination of multiple hypercubes and the result operation. 29

Figure 4. Hypercube validity table. 30

 

Table of Definitions

Cases

[Def, 1] Primary items are elements defined in XBRL taxonomies that are in the xbrli:item substitution and aren't in the xbrldt:hypercubeItem or xbrldt:dimensionItem substitution group....................................... 8

[Def, 10] The effective domain of a dimension is the union of all dimension-domain arcs that exist for a particular dimension in the dimensional relationship set [Def, 4]......................................................... 20

[Def, 11] Dimensional elements are the element declarations that are the targets of has-hypercube, hypercube-dimension, dimension-domain and domain-member relationships...................................... 26

[Def, 12] The dimension value is defined as the content of the dimension container for one specific dimension in one of the three possible dimension containers: segment, scenario or default values................. 30

[Def, 13] Two facts are d-equal for one dimension if they have the same dimension value [Def, 12] for that dimension 36

[Def, 2] Consecutive arcs are two arcs in sequence according to Figure 1............................... 8

[Def, 3] A hypercube declaration is an abstract item declaration in the xbrldt:hypercubeItem substitution group. 8

[Def, 4] The dimensional relationship set (DRS) of a relationship consists of all relationships in the transitive closure of the discovery relation defined in Figure 2 below................................................................. 16

[Def, 5] A dimension declaration is an abstract item declaration in the xbrldt:dimensionItem substitution group. 17

[Def, 6] a typed dimension is a dimension declaration [Def, 5] whose domain of members is defined in another XML element referenced in the xbrldt:typedDomainRef attribute............................................... 18

[Def, 7] An explicit dimension declaration is a dimension declaration [Def, 5] that has no xbrldt:typedDomainRef attribute and has dimension-domain arcs to zero or more domain member declarations [Def, 8]....... 19

[Def, 8] A domain member declaration is an element defined in a taxonomy in the xbrli:item substitution group   and not in the xbrldt:hypercubeItem or xbrldt:dimensionItem substitution groups......................... 19

[Def, 9] A domain of members is the set of QNames of all usable elements (see 2.5.3.3 below) in the dimensional relationship set [Def, 4] for the domain-member relation rooted at one domain member [Def, 8] 19

 

 


1         Introduction (non-normative)

The architecture of XBRL as defined in the base XBRL 2.1, Specification [XBRL] defines a rich set of syntactic and semantic rules for specifying concepts that are members, or elements, of one dimension and relationships among them in what is termed a “taxonomy” (plural “taxonomies”). It also defines extensibility mechanisms for taxonomies and “Discoverable Taxonomy Sets” (or DTSs - see [XBRL] section 3.2). These rules employ XML Schemas [SCHEMA-1][SCHEMA‑2] to identify the various concepts involved and XLINK linkbases [XLINK] to define relationships between those concepts and between those concepts and other resources. It also defines a rich set of syntactic and semantic rules for how such DTSs are to be referenced and interpreted when used in conjunction with an XBRL instance. XBRL also provides a mechanism for instance preparers to define other dimensional metadata that describe facts that are reported in the XBRL instance. This mechanism involves the notion of “contexts” (defined by the <context> element) and, within those contexts, the use of <segment> and/or <scenario> elements along with additional schemas that specify all dimensional metadata that is not otherwise given semantic meaning by the specification itself. Dimensions that ARE provided such semantic meaning by the specification itself are the “time” dimension, which leverages the sophisticated semantic mechanisms provided in XML Schema [SCHEMA-1], and, to a limited extent, “units” which may sometimes be viewed as dimensional and at other times as properties of individual facts depending on the application.

The contents of the <segment> and <scenario> elements are deliberately left open to permit users to fashion their own mechanisms for defining and referencing this dimensional metadata. It has, however, become apparent that, in practice, there is a need to formalise a consistent system for defining this dimensional metadata and a need to define a mechanism for specifying not only the names of such metadata elements but also their interrelationships. It has also become apparent that often the nature of such metadata and metadata relationships resembles very closely that which is already addressed by the XBRL taxonomy mechanism which is used for the “concepts” dimension.

For the purposes defined in the Dimensional Taxonomies Requirements [DIM-REQ] this modular extension to the base XBRL 2.1, Specification [XBRL] defines a formalisation of the syntax of the body of the <segment> and <scenario>. This specification defines the syntax and semantics of dimensional taxonomies, which in turn define the dimensions that may be used in an XBRL instance document.  This specification also defines the additional rules to which an XBRL instance document must adhere in order to be an XDT compliant instance document.

Dimensional taxonomies are syntactically identical to taxonomies that are defined in the base XBRL 2.1, Specification [XBRL] with certain restrictions that must be adhered to when they are to be used as dimensional taxonomies (see section 2). In addition certain additional semantics are defined with respect to a taxonomy when it is used as a dimensional taxonomy and referenced as such by an XBRL instance.

1.1      Background (non-normative)

As should be apparent from the requirements [DIM-REQ], dimensional metadata was not invented with XBRL. XBRL standardizes the representation of only two dimensions: the time dimension and the entity dimension. Many reporting purposes, both internal and external to organisations, require multiple dimensions. What the XBRL 2.1 specification did create was the principles for this specification to exist while defining two open elements in the context of XBRL instance documents: the segment and scenario elements. The present specification defines the syntax of elements that may occur in the segment and scenario elements and defines standard arcs that specify the valid content of those elements. That content should be validated by dimensional XBRL processors and standard errors are raised if the XBRL instance is not conformant with the multidimensional model defined in the Taxonomy. This specification uses three possible different roles that taxonomies can play in representing multidimensional information: primary taxonomies, domain members taxonomies, and templates taxonomies. This taxonomy role differentiation is only illustrative. Due to the reason that the multidimensional information is represented by arcs and XBRL concepts and there is no way in XBRL to specify the role of a taxonomy, it is certainly possible for one taxonomy to play two or all of these roles simultaneously. It was decided to take this differentiation in this specification to provide an architectural framework to projects that would incorporate multidimensional information to existing taxonomies.

1.1.1        Primary taxonomies

A primary taxonomy is the DTS rooted at one XBRL taxonomy that has no dimensional elements and no arcs defined in this specification. Requirement G16 [DIM-REQ] states “Taxonomy authors must be able to extend a base taxonomy that does not have dimensional information, to have dimensions, without changing the concepts in the base.”  This specification uses the term primary taxonomy for a DTS of elements that may be instantiated in an XBRL instance. A financial taxonomy used for a variety of purposes including internal and external reporting may be extended with a variety of dimensional taxonomies appropriate to the reporting purpose.

1.1.2        Domain members taxonomies

Typed dimensional taxonomies as defined in requirement G03 [DIM-REQ] define syntactic constraints on the contents of segments and scenarios.

Explicit dimensional taxonomies are those in which the XBRL items form a discrete, countable finite partitioning of a set of members, which hereinafter is called a domain.  Examples include a taxonomy on the domain of geographic territories, or a taxonomy on a domain of product lines. Inclusion relationships (requirement G09 [DIM-REQ]) are represented by domain‑member relationships. XBRL instances may use any number of dimensional taxonomies, with the members of their domains possibly appearing in a variety of combinations within XBRL segment and scenario elements.

1.1.3        Template taxonomies

The DTS of an instance using dimensional information may contain domain‑member relationships among items in both primary taxonomies and domain members taxonomies. Since a primary taxonomy typically does not have dimensional information, there is an implication that the instance-rooted DTS must encompass domain‑member relationships in a linkbase that is not in the schema-rooted DTS of the primary taxonomy.

A template taxonomy imports all domain members taxonomies with the primary taxonomies and adds the dimensional structures that will be used in the XBRL instance. By convention, a taxonomy that imports primary and domain member taxonomies and defines all the necessary dimensional information is called a template taxonomy. In particular, a template defines hypercubes. A hypercube describes the Cartesian product of zero or more dimensions. Each dimension in turn is defined over zero or more domains and domains are composed by members. Note that in this formulation, a hypercube of a primary item does not include the primary item itself.

·          Example: a topographic map is a 3-dimensional hypercube; it has thee dimensions, elevation, longitude and latitude, all of which are defined over the domain of real numbers. The elevation can be represented as a primary item, longitude and latitude being the two dimensions of a hypercube for that primary item.

·          Example: A table in a financial statement showing revenue for products, by territory, is a 3-dimensional hypercube, with one primary item (revenue) and two explicit dimensions (products and territory). A loan report for a bank may be, in effect, an n‑dimensional hypercube with dimensions including loan size (a primary item), borrower’s credit rating, loan maturity, borrower type, loan purpose, and other dimensions.

The main purpose of a template taxonomy is to define the structures of the hypercubes and link the hypercubes with the primary items.

1.2      Relationship to other work (non-normative)

This document pertains to XBRL as defined in the XBRL Specification [XBRL].

Parts of this document may reiterate for expository clarity certain syntactic and semantic restrictions imposed by XBRL, but this document does not modify XBRL. In the event of any conflicts between this document and XBRL, XBRL prevails. This document does place additional restrictions beyond those prescribed by XBRL.

This document implements the business requirements agreed in the Domain Working Group of the XBRL consortium and documented in the [DIM-REQ] document.

1.3      Terminology (non-normative)

Terminology used in XBRL frequently overlaps with terminology from other fields.

The following terms are used as described in the table below:

Term

Meaning (Normative)

Arc, arcroleRef, base set, child, concept, context, duplicate item, descendant, DTS (discoverable taxonomy set), element, entity, fact, instance, item, linkbase, linkbaseRef, p‑equal, roleRef, taxonomy, taxonomy schema, u‑equal, XBRL instance.

As defined by XBRL [XBRL].

relationship

An arc defines a relationship between its source concepts and target concepts that is determined by its xlink:arcrole and other attributes.

source [concept(s)]

The concepts identified by the URI content of the href attributes of the locator-type elements in the same extended-type link element, which have the same label attribute content as the content of the “from” attribute of an arc.

target [concept(s)]

The concepts identified by the URI content of the href attributes of the locator-type elements in the same extended-type link element, which have the same label attribute content as the content of the “to” attribute of an arc.

must, must not, required, shall, shall not, should, should not, may, optional

 

See [RFC2119] for definitions of these and other terms. These include, in particular:

should: Conforming documents and applications are encouraged to behave as described.

 

must: Conformant documents and consuming applications are required to behave as described; otherwise they are in error.

XDT Compliant (XDT-compliant)

Describes an element, attribute, linkbase, schema, instance document or DTS satisfying all applicable mandatory (“must”) rules in this document.  Any of such artefacts that violates or ignores a recommended (“should”) rule is inferior to one that obeys it and should not be emulated.

XBRL

Extensible Business Reporting Language (XBRL) 2.1 Recommendation [XBRL].

XBRL valid (XBRL-valid)

XML instances and schemas that satisfy the syntax requirements of XBRL.

 

Term

Meaning (non-normative)

 

Dimension

Each of the different aspects by which a fact may be characterised. A dimension has only one effective domain. A typical example of a dimension is the “product” dimension that identifies for a concept (Sales) the domain consisting of the possible products that its fact can be expressed about.  Dimensions are abstract elements in the substitution group of xbrldt:dimensionItem.

Domain

A (possibly empty or possibly infinite) set of members. A typical example could be the Longitude and Latitude dimensions. The numbers from -180 to +180 are a domain. In this case, both dimensions have the same domain. (In real life longitude is in a domain from -90 to +90 and latitude is in a domain from -180 to +180, but we are assuming both are the same for demonstration purposes only)

Effective Domain

A dimension may have multiple dimension-domain relationships; the effective domain is the conjoint set of all related domains.

Domain Member / Valid Member

Each one of the possibilities in the domain of a Dimension. Explicit domains are defined by domain-member relations. Example: In the “Products Dimension” an explicit domain can be created with each one of the products as a domain-member. Domain member items are in the substitution group of xbrli:item.

Explicit Dimension

Occurs when the domain explicitly names its members. The “Products Dimension” in the example above could be an explicit dimension. Explicit dimensions are defined by dimension-domain relations.

Typed Dimension

Occurs when the number of members is impractically large to enumerate explicitly. The “Longitude and Latitude” dimensions in the example above are typed dimensions because the domain is made of the infinite numbers in the range of -180 and +180.

Empty Dimension

An Explicit Dimension with no domain.

Primary Item

An XBRL v2.1 item. [XBRL]

Primary Item Declaration

The declaration of XBRL v2.1 item in a taxonomy.

Primary Item Descendant

Any child, grand-child etc. of a Primary Item according to the domain-member relationship.

Primary Taxonomy

A primary taxonomy is a taxonomy that contains primary items.

Dimensional Taxonomy

A taxonomy whose schema-rooted DTS includes a definition linkbase with one or more arcs defined in this specification.

Template Taxonomy

A taxonomy that defines hypercubes and the relationships between the hypercubes and primary items.

Hypercube

A hypercube represents a set of dimensions. Hypercubes are abstract elements in the substitutionGroup of hypercubeItem that participate in has-hypercube relations and hypercube-dimension relations.

Empty Hypercube

A hypercube with no dimensions.

Hypercube Declaration

The declaration of a hypercube in a schema document.  This is represented by an abstract element declaration in the xbrldt:hypercubeItem substitution group

Dimension Declaration

The declaration of a dimension in a schema document.  This is represented by an abstract element declaration in the xbrldt:dimensionItem substitution group

Typed Dimension Element

Refers to the non XBRL element used in the segment or scenario of a context as the dimension identifier.

Dimensional relationship set

A set of relationships constructed by traversing (as described in section 2.4) relationships and items not only within base sets but across base sets, thus possibly including relationships from extended-type links with different roles, and relationships with different arc roles.

Base Set

As defined in 3.5.3.9.7.3 Networks of relationships in a DTS in the [XBRL] specification.

Dimensional Processor

A dimensional processor consumes XBRL dimensional instance documents or taxonomies, and checks the conformance of that input document according to the rules declared in this document.

Raise an error

The phrase “a dimensional processor MUST raise an error” is used to indicate when a dimensional processor MUST signal something to the consuming application that is calling the validation process. The specific type of signal is application dependent. An example of how XPath signal its errors can be seen in http://www.w3.org/TR/xquery-operators/#func-error

1.4      Document conventions (non-normative)

The following highlighting is used to present normative technical material in this document:

 


The following formatting is used for non-normative examples in this document:

 

The following formatting is used for non-normative counterexamples (examples of poor, discouraged or disallowed usage) in this document:

 

Non-normative editorial comments are denoted as follows and removed from final recommendations:

 

1.5      Namespaces (normative)

This table contains all the prefixes used within the text and the correspondent namespace URI:

Prefix

Namespace URI

xbrldt

http://xbrl.org/2005/xbrldt

xbrldi

http://xbrl.org/2006/xbrldi

xbrldte

http://xbrl.org/2005/xbrldt/errors

xbrldie

http://xbrl.org/2005/xbrldi/errors

xbrli

http://www.xbrl.org/2003/instance

xs

http://www.w3.org/2001/XMLSchema

xlink

http://www.w3.org/1999/xlink

link

http://www.xbrl.org/2003/linkbase

 

The Prefix column in the table above is non normative. The Namespace URI column is normative.


2         Dimensional Taxonomies (normative)

2.1      Architecture (normative)

In XBRL Instances, certain elements that are defined by this specification are distinguished by the use of elements in the namespace http://xbrl.org/2006/xbrldi which is conventionally prefixed “xbrldi”; these elements appear within the scenario and segment elements only. XBRL instances are validated according to the syntax constraints implied by the typed dimensions (which require XML Schema validation and nothing more) and by the explicit dimensions (which require description of each member element and relationships among the members using linkbases).

Dimensional taxonomies are distinguished by the use of several arc roles. These arc roles and associated attribute declarations are in the appinfo section of an XML schema.

The namespace of the schema file, is http://xbrl.org/2005/xbrldt, the prefix xbrldt is used in this document to refer to elements and attributes defined in that schema.

Dimensional Taxonomies MAY import the xbrldt schema and MUST be schema valid according to schema rules defined in [SCHEMA-1][SCHEMA‑2]. Dimensional Taxonomies according to this specification MUST also be valid XBRL 2.1 [XBRL] taxonomies.

XBRL instances using the elements defined in xbrldi-2006.xsd MUST be XML Schema valid according to validation rules defined in [SCHEMA-1] [SCHEMA‑2]. XBRL instances using Dimensional Taxonomies MUST be also valid instances according to the XBRL 2.1 [XBRL] specification.

Figure 1. Relationships to define constraints on the content and meaning of contexts

Figure 1 schematically shows the various relationships and the type of elements at their source and target, and the purpose that these elements serve either as primary items, explicit domain members, or as the root item that represents an entire dimension (typed or explicit). These relationships need not all be within the same extended-type link element; the xbrldt:targetRole attribute is used to connect the different pieces from Primary Items to Members across multiple extended-type link elements. The notation {all, notAll} means that there are two possible relationships. Additional attributes on the arc (xbrldt:closed, xbrldt:usable, xbrldt:typedDomainRef and xbrldt:contextElement) and their types are shown on the arcs where they may appear.

[Def, 1] Primary items are elements defined in XBRL taxonomies that are in the xbrli:item substitution and aren't in the xbrldt:hypercubeItem or xbrldt:dimensionItem substitution group..

Only XBRL items defined in the substitution group of xbrli:item may be used as an explicit dimension member.

[Def, 2] Consecutive arcs are two arcs in sequence according to Figure 1. Existing consecutive arcs are:

1.      {all, notAll} and {hypercube-dimension}

2.      {hypercube-dimension} and {dimension-domain}

3.      {dimension-domain} and {domain-member}

4.      {domain-member} and another {domain-member}

The following sections in this chapter each define a syntax component and its consequences for validation (its semantics) with positive and negative examples. The rules of syntax that apply to dimensional schemas, linkbases and instances are stated individually within each section.

2.2      Hypercubes (normative)

[Def, 3]   A hypercube declaration is an abstract item declaration in the xbrldt:hypercubeItem substitution group. A hypercube is an ordered list of dimensions, defined by the set of zero or more dimension declarations linked to the hypercube by hypercube-dimension relationships in a dimensional relationship set [Def, 4], and ordered according to the order of these relationships.

  <xs:element

    name="hypercubeItem"

    id="xbrldt_hypercubeItem"

    abstract="true"

    substitutionGroup="xbrli:item"

    type="xbrli:stringItemType"

    xbrli:periodType="duration"/>

2.2.1        Constraints on hypercube declarations

1.      A dimensional processor MUST raise an error [Dim Err, 1] xbrldte:HypercubeElementIsNotAbstractError if an element that is in the substitution group of xbrldt:hypercubeItem is not abstract.

2.2.2        Arc role http://xbrl.org/int/dim/arcrole/hypercube-dimension

The hypercube-dimension relationship has a hypercube declaration [Def, 3] as its source and a dimension declaration [Def, 5] as its target.

The order of the hypercube-dimension relationship for taxonomy representation purposes in taxonomy editing tools is defined by the value of the order attribute on the arc defining the relationship.

The hypercube-dimension relationship role must not have any directed cycles.

This arc role is defined as follows in the LRR:

<arcrole>

<roleURI>http://xbrl.org/int/dim/arcrole/hypercube-dimension</roleURI>

<status>DCR</status>

<versionDate>2006-03-20</versionDate>

<authoritativeHref

>http://www.xbrl.org/2005/xbrldt-2005.xsd#hypercube-dimension</authoritativeHref>

<requirement xml:lang="en">A hypercube may have one or more dimensions.

</requirement>

<definition xml:lang="en">

</definition>

<versionOfXBRL>2.1</versionOfXBRL>

<minimumEditionDate>2005-11-07</minimumEditionDate>

<impactsTaxonomyValidation>true</impactsTaxonomyValidation>

<impactsInstanceValidation>true</impactsInstanceValidation>

<conformanceSuiteURI>http://www.xbrl.org/conf/dim/tests.xml

</conformanceSuiteURI>

<validation xml:lang="en">The presence of an hypercube-dimension arc role indicates how part of a context is to be validated.

</validation>

<attributes>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">targetRole</attribute>

</attributes>

<sourceAbstract>required</sourceAbstract>

<targetAbstract>required</targetAbstract>

</arcrole>

It is declared as follows:

      <arcroleType

        id="hypercube-dimension"

        cyclesAllowed="none"

        arcroleURI="http://xbrl.org/int/dim/arcrole/hypercube-dimension">

        <definition>Source (a hypercube) contains the target (a dimension) among others.</definition>

        <usedOn>definitionArc</usedOn>

      </arcroleType>

Example 1 shows a hypercube consisting of two typed dimensions, Team and Drink. This example shows a hypercube describing the occurrence of Team and Drink elements in either the segment or scenario element of a context.

Example 1. Hypercube of the Team and Drink typed dimensions

2.2.2.1           Constraints on hypercube-dimension arcs

1.      The source of a hypercube-dimension arc MUST be a hypercube declaration [Def, 3]. A dimensional processor must raise an error [Dim Err, 2] xbrldte:HypercubeDimensionSourceError if this rule is violated.

2.      The target of a hypercube-dimension arc must be a dimension declaration [Def, 5]. A dimensional processor must raise an error [Dim Err, 3] xbrldte:HypercubeDimensionTargetError if this rule is violated.

2.3      Primary item declarations and hypercubes (normative)

To constrain the set of contexts that may appear on primary items, a primary item declaration may be associated with zero or more hypercubes.

This specification defines no additional constraints on primary items whose corresponding primary item declaration is not associated with any hypercubes in the applicable DTS.

A set of hypercubes may be composed via conjunction of “all” and “notAll” compositors. The relationship between a compositor and its operands is represented by XLink arcs with distinct arc roles to define the different operators.

There are two arc roles collectively known as has‑hypercube relationships; they are:

·                    http://xbrl.org/int/dim/arcrole/all,

·          http://xbrl.org/int/dim/arcrole/notAll.

These relationships may be in different base sets. When has-hypercube relationships are in different base sets, a primary item that is dimensionally valid in any base set is dimensionally valid.

These relationships allow prohibition, overriding, and augmentation in extension taxonomies.

2.3.1        The “all” and “notAll” arc roles

Relationships in the dimensional relationship set [Def, 4] of an http://xbrl.org/int/dim/arcrole/all relationship are relevant to instance validation. The source and target are primary item declarations and hypercube declarations [Def, 3], respectively.

The negated version of the “all” relationship is the “notAll” relationship defined as http://xbrl.org/int/dim/arcrole/notAll

A context is dimensionally valid with respect to a conjunction of hypercubes only if it is valid with respect to all of the conjoined hypercubes individually. A negated hypercube “notAll” is valid if the non negated version of the same hypercube definition is invalid. The conjunction of a single hypercube is the hypercube itself (Example below).

Example 2. A primary item declaration with a single hypercube

The primary item declaration p_FluidCapacity is associated with a hypercube. A context will be dimensionally valid with respect to this primary item only if it has a Team and a Drink reference.

Example 3. A primary item declaration with two hypercubes composed by conjunction “all” and “notAll”

The primary item declaration p_FluidCapacity is associated with the composition of two hypercubes in the same base set. A context will be valid with respect to the primary item only if it has a City reference in its segment that is a member of the hc_CityHypercubeAll and not a member of hc_CityHypercubeExcluded.

The all arc role has the following LRR declaration.

<arcrole>

<roleURI>http://xbrl.org/int/dim/arcrole/all</roleURI>

<status>DCR</status>

<versionDate>2006-03-20</versionDate>

<authoritativeHref

>http://www.xbrl.org/2005/xbrldt-2005.xsd#all</authoritativeHref>

<requirement xml:lang="en">Hypercubes may be defined by intersection.

</requirement>

<definition xml:lang="en">

</definition>

<versionOfXBRL>2.1</versionOfXBRL>

<minimumEditionDate>2005-11-07</minimumEditionDate>

<impactsTaxonomyValidation>true</impactsTaxonomyValidation>

<impactsInstanceValidation>true</impactsInstanceValidation>

<conformanceSuiteURI>http://www.xbrl.org/conf/dim/tests.xml

</conformanceSuiteURI>

<validation xml:lang="en">The presence of an “all” arc role indicates how part of a context is to be validated.

</validation>

  <attributes>

 <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="required">contextElement</attribute>

 <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">closed</attribute>

<attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">targetRole</attribute>

</attributes>

<sourceAbstract>optional</sourceAbstract>

<targetAbstract>required</targetAbstract>

</arcrole>

It is declared as follows:

      <arcroleType

         id="all"

         cyclesAllowed="undirected"

         arcroleURI="http://xbrl.org/int/dim/arcrole/all">

         <definition>Source (a primary item declaration) requires a combination of dimension members of the target (hypercube) to appear in the context of the primary item.</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

The notAll arc role has the following LRR declaration.

<arcrole>

<roleURI>http://xbrl.org/int/dim/arcrole/notAll</roleURI>

<status>DCR</status>

<versionDate>2006-03-20</versionDate>

<authoritativeHref

>http://www.xbrl.org/2005/xbrldt-2005.xsd#notAll</authoritativeHref>

<requirement xml:lang="en">Hypercubes may be defined by negated intersection.

</requirement>

<definition xml:lang="en">

</definition>

<versionOfXBRL>2.1</versionOfXBRL>

<minimumEditionDate>2005-11-07</minimumEditionDate>

<impactsTaxonomyValidation>true</impactsTaxonomyValidation>

<impactsInstanceValidation>true</impactsInstanceValidation>

<conformanceSuiteURI>http://www.xbrl.org/conf/dim/tests.xml

</conformanceSuiteURI>

<validation xml:lang="en">The presence of a “notAll” arc role indicates how part of a context is to be validated.

</validation>

  <attributes>

<attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="required">contextElement</attribute>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">closed</attribute>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">targetRole</attribute>

</attributes>

<sourceAbstract>optional</sourceAbstract>

<targetAbstract>required</targetAbstract>

</arcrole>

It is declared as follows:

      <arcroleType

         id="notAll"

         cyclesAllowed="undirected"

         arcroleURI="http://xbrl.org/int/dim/arcrole/notAll">

         <definition>Source (a primary item declaration) requires a combination of dimension members of the target (hypercube) not to appear in the context of the primary item.</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

Example 4. A primary item with domain members, a negated hypercube limits the values for the country dimension of p_CostOfSales removing m_India from the domain

The primary item declaration p_GrossProfit has two children in the domain-member network. The valid members in the country dimension are AllCountries for p_GrossProfit and p_Sales but p_CostOfSales has fewer possibilities in the country dimension.

2.3.1.1           Constraints on “all” or “notAll” arcs

1.      A dimensional processor MUST raise an error [Dim Err, 4] xbrldte:HasHypercubeSourceError if the source of an “all” or “notAll” arc is not a primary item declaration [Def, 1].

2.      A dimensional processor MUST raise an error [Dim Err, 5] xbrldte:HasHypercubeTargetError if the target of an “all” or “notAll” arc is not a hypercube declaration [Def, 3].

3.      A has-hypercube arc MUST have an xbrldt:contextElement attribute. A dimensional processor MUST raise an error [Dim Err, 6] xbrldte:HasHypercubeMissingContextElementAttributeError if this rule is violated.

2.3.2        The required “xbrldt:contextElement” attribute on has-hypercube arcs

Every has-hypercube arc must have an xbrldt:contextElement attribute.

  <xs:simpleType name="contextElementType">

    <xs:restriction base="xs:token">

      <xs:enumeration value="segment"/>

      <xs:enumeration value="scenario"/>

    </xs:restriction>

  </xs:simpleType>

<xs:attribute name="contextElement" type="xbrldt:contextElementType"/>

2.3.2.1           Constraints on the value of the xbrldt:contextElement attribute

1.      According to the xbrldt XML Schema, the xbrldt:contextElement attribute must have one of the values segment or scenario.

2.3.3        The optional “xbrldt:closed” attribute on has-hypercube arcs

The optional Boolean attribute xbrldt:closed may appear on has‑hypercube arcs.

<xs:attribute name="closed" type="xs:boolean" default="false"/>

If xbrldt:closed attribute is specified with a true value on a has‑hypercube arc with the value segment for the xbrldt:contextElement attribute, the hypercube is closed with respect to the segment element in that base set.

If xbrldt:closed attribute is specified with a true value on a has‑hypercube arc with the value scenario for the xbrldt:contextElement attribute, the hypercube is closed with respect to the scenario element in that base set.

A context is dimensionally valid with respect to a closed hypercube when no other XML elements appear in a segment or scenario except those appearing in the closed hypercube.

Example 5. Two closed hypercubes

The arcs with xbrldt:closed="true" mean that a context is valid with respect to the target hypercube if it has a Team and Drink and nothing else in the segment element, and nothing at all in the scenario element. Note that hc_Team_x_Drink has segment in its xbrldt:contextElement attribute and hc_Empty has scenario in its xbrldt:contextElement attribute.

2.3.3.1           Constraints on the value of the xbrldt:closed attribute

1.      According to the xbrldt XML Schema, the xbrldt:closed attribute, if present, must have a Boolean value.

2.4      Dimensional relationship sets (normative)

Taxonomy authors are able to partition relationships into distinct base sets using the xlink:role attribute on extended-type link elements. Applications that are aware of the names and meanings of the partitions may use different sets of relationships at different times for processing.

But it is more than a useful feature; in the case of summation‑item relationships in the calculation linkbase, partitioning is essential to ensure that incompatible summations are not commingled. Taxonomy authors may specify distinct base sets of dimensional relationships that a validating process would apply separately. To forbid this would violate P2 (Consistency, Appendix B).

Furthermore, a set of primary item declarations may have hypercubes in common among the targets of their has‑hypercube relationships; hypercube declarations in turn may have typed dimensions in common among the targets of their hypercube-dimension relationships. In sections 2.5.2 and 2.5.3 below, additional relationships will also introduce tangled graphs, with some items as the source of separate and distinct sets of relationships to define different dimensions. If all the dimensional relationships used together in a validation were forced to be in the same base set, there would be redundancy among dimensional relationships, violating P4 (Irredundancy, Appendix B).

Example 6. When the same dimension must have different domain members, partitioning among different extended link roles and a mechanism to indicate the extended link flow must be implemented. xbrldt:targetRole is used for this purpose.

The RegionDim dimension must have different members when it is part of hc_ExcludeRegions cube and when it is part of the hc_AllRegions cube.

 

The optional xbrldt:targetRole attribute on an arc allows a taxonomy author to group arcs with different arc roles and different base sets into dimensional relationships sets. As declared in their LRR entries, the xbrldt:targetRole attribute MAY appear on definition arcs having the following arc roles: all, notAll, hypercube-dimension, dimension‑domain and domain‑member. The xbrldt:targetRole attribute has type anyURI. Resolution of the URI is not subject to the presence of an xml:base attribute and its value must be an absolute URI.

<xs:attribute name="targetRole" type="xs:anyURI"/>

[Def, 4] The dimensional relationship set (DRS) of a relationship consists of all relationships in the transitive closure of the discovery relation defined in Figure 2 below.

In Figure 2, role(arc) denotes the contents of the xlink:role attribute of the relationship’s base set; targetRole(arc) denotes the contents of the targetRole attribute on the arc itself.

Two consecutive arcs [Def, 2] that exist in different extended links MUST be connected together using the xbrldt:targetRole attribute. Not doing so causes the construction to be unconnected and therefore hypercubes and empty dimensions are created.

The usage of the xbrldt:targetRole attribute is optional. But if it is present in an arc the discovery of additional related arcs in the current base set is considered finished and the processing continues in the new extended role indicated.

Figure 2. Discovery relation between relationship A and relationship B

Arc role of Relationship A

Arc role of Relationship B with a source among the targets of Relationship A

all, notAll

hypercube-dimension

dimension‑domain

domain‑member

all, notAll

False

role(B) Π targetRole(A)

False

False

hypercube-dimension

False

False

role(B) Î targetRole(A)

False

dimension‑domain

False

False

False

role(B) Î targetRole(A)

domain‑member

False

False

False

role(B) Î targetRole(A)

Example 7. The arc in base set link2 is in the DRS of the arc in base set link1

<definitionLink

  xlink:type="extended" xlink:role="http://example.com/role/link1" id="link1">

<loc xlink:type="locator"

  xlink:href="m-2005-07-23.xsd#m_AllRegions"

  xlink:label="AllRegions"/>

<loc xlink:type="locator"

  xlink:href="m-2005-07-23.xsd#m_SouthAmerica"

  xlink:label="SouthAmerica"/>

<definitionArc xlink:type="arc"

  xbrldt:targetRole="http://example.com/role/link2"

  xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member"

  xlink:from="AllRegions" xlink:to="SouthAmerica" order="1.0"/>

</definitionLink>

<definitionLink xlink:type="extended"

  xlink:role="http://example.com/role/link2" id="link2">

<loc xlink:type="locator"

  xlink:href="m-2005-07-23.xsd#m_SouthAmerica" xlink:label="SouthAmerica"/>

<loc xlink:type="locator"

  xlink:href="m-2005-07-23.xsd#m_Argentina" xlink:label="Argentina"/>

<definitionArc xlink:type="arc"

  xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member"

  xlink:from="SouthAmerica" xlink:to="Argentina" order="1.0"/>

</definitionLink>

2.4.1        Taxonomy validation impact of dimensional relationship sets

For the most part, dimensional relationship sets do not impact validity of XBRL taxonomies according to this specification. All other taxonomy validation rules are unaffected by base sets. The xbrldt:targetRole attribute itself must contain a declared role.

2.4.2        Instance validation impact of dimensional relationship sets

Dimensional relationship sets do impact validity of XBRL instances according to this specification. In section 3.1 below, “Validation of primary items,” validation is defined with respect to the set of relationships in the DRS; the relevant DRS is defined in section 2.3 above, “Primary item declarations and hypercubes.”

2.4.3        Constraints on the value of a xbrldt:targetRole attribute

1.      A dimensional processor must raise an error [Dim Err, 7] xbrldte:TargetRoleNotResolvedError if the URI content of an xbrldt:targetRole attribute cannot be resolved via a roleRef element (3.5.2.4 [XBRL]) to a roleType element (5.1.3 [XBRL]).

2.      A dimensional processor MUST check the cycles in two consecutive arcs [Def, 2] connected with an xbrldt:targetRole attribute according to the value of the cyclesAllowed attribute in the arc definition in the xbrldt schema as if the two consecutive arcs [Def, 2] were created in the same extended link role. A dimensional processor MUST raise [Dim Err, 8] xbrldte:DRSDirectedCycleError if invalid directed cycles where found.

3.      According to the xbrldt XML Schema, the content of the xbrldt:targetRole attribute must be a valid URI.

2.5      Dimensions (normative)

[Def, 5] A dimension declaration is an abstract item declaration in the xbrldt:dimensionItem substitution group.  A dimension is each of the different aspects by which a fact may be characterised.

  <xs:element

    name="dimensionItem"

    id="xbrldt_dimensionItem"

    abstract="true"

    substitutionGroup="xbrli:item"

    type="xbrli:stringItemType"

    xbrli:periodType="duration"/>

The xbrli:balance, xbrli:periodType and nillable attributes of a dimension item declaration have no significance.

There are two dimension types in this specification: Typed dimensions and Explicit dimensions. The dimension declaration is referenced by simple link elements in the context elements of XBRL instances. The value of those simple links MAY be a QName for explicit dimensions or a complex type XML element for typed dimensions.

2.5.1        Constraints on the dimension declaration

1.      A dimensional processor MUST raise an error [Dim Err, 9] xbrldte:DimensionElementIsNotAbstractError if an element that is in the substitution group of xbrldt:dimensionItem is not abstract.

2.5.2        Typed dimensions

[Def, 6] a typed dimension is a dimension declaration [Def, 5] whose domain of members is defined in another XML element referenced in the xbrldt:typedDomainRef attribute.

A typed dimension must have nonempty content for the attribute xbrldt:typedDomainRef.

The xbrldt:typedDomainRef is an xlink:href to an element declaration in an XML Schema that defines the dimension domain.

In the instance document a typed dimension value is the child of an xbrldi:typedMember element that have a dimension attribute whose value locates the typed dimension element declaration.

Example 8. Typed dimension elements and their domains

Dimension item declaration in tax.xsd

Domain declaration in schema.xsd

Domain members in instance.xbrl

<element

name="dCustomer"

id="tax_dCustomer"

substitutionGroup="xbrldt:dimensionItem"

type="xbrli:stringItemType"

abstract="true"

xbrli:periodType="duration"

xbrldt:typedDomainRef="schema.xsd#id_cust"

/>

<element name="cust" id="id_cust">

<simpleType>

  <restriction base="string">

      <pattern value="[0-9][0-9][0-9][0-9][0-9]"/>

    </restriction>

  </simpleType>

</element>

<xbrldi:typedMember dimension="tax:dCustomer">

  <cust>12345</cust>

</xbrldi:typedMember>

 

<xbrldi:typedMember

dimension="tax:dCustomer">

  <cust>01742</cust>

</xbrldi:typedMember>

<element

name="dPhone"

id="tax_dPhone"

substitutionGroup="xbrldt:dimensionItem"

type="xbrli:stringItemType"

abstract="true"

xbrli:periodType="duration"

xbrldt:typedDomainRef="schema.xsd#id_phone"

/>

 

 

<element name="phone" id="id_phone" xsi:nillable="true">

  <complexType>

    <sequence>

      <element name="country" type="integer"/>

      <element name="city" type="integer"/>

      <element name="number" type="integer"/>

    </sequence>

  </complexType>

</element>

Elements valid for the domain type, such as:

 

<xbrldi:typedMember dimension="tax:dPhone">

  <phone>

    <country>7</country>

    <city>7</city>

    <number>5555555</number>

  </phone>

</xbrldi:typedMember>

 

<xbrldi:typedMember dimension="tax:dPhone">

  <phone xsi:nil="true"/>

</xbrldi:typedMember>

The separation of the dimension item from the element actually appearing in the instance is necessary because relationships in the definition linkbase may only have a target in the xbrli:item or xbrli:tuple substitution group, but such a restriction on the domain itself would be neither necessary nor desirable.

2.5.2.1           The xbrldt:typedDomainRef attribute

The xbrldt:typedDomainRef attribute is used in a typed dimension element to locate the element in an XML Schema that defines the content of this typed dimension.

The value of the xbrldt:typedDomainRef attribute MUST be an URI reference as defined in [RFC3986]. The value of xbrldt:typedDomainRef MUST have a fragment identifier.

The URI referenced in the xbrldt:typedDomainRef attribute has type anyURI. If the URI reference is relative, its absolute version MUST be computed by the method of [XML Base] before use.

<xs:attribute name="typedDomainRef" type="xs:anyURI"/>

The schema pointed to by the xbrldt:typedDomainRef MAY not be a taxonomy schema and MAY not be part of the DTS.

2.5.2.1.1          Constraints on the xbrldt:typedDomainRef attribute

1.      A dimensional processor MUST raise an error [Dim Err, 10] xbrldte:TypedDomainRefError if the xbrldt:typedDomainRef attribute appears on an XML Schema element declaration that is not a dimension declaration [Def, 5].

2.      A dimensional processor MUST raise an error [Dim Err, 11] xbrldte:TypedDimensionError if the xbrldt:typedDomainRef attribute locates (with xml:base and following definition in section 3.2 of [XPTR]) any of the following:

·          Nothing

·          Something that is not a global XML Schema element declaration

·          A global abstract element declaration.

3.      A dimensional processor MUST raise an error [Dim Err, 12] xbrldte:TypedDimensionURIError  if the xbrldt:typedDomainRef attribute does not contain a fragment identifier.

4.      According to the xbrldt XML Schema, the content of the xbrldt:typedDomainRef attribute must be a valid URI.

2.5.3        Explicit dimensions

[Def, 7] An explicit dimension declaration is a dimension declaration [Def, 5] that has no xbrldt:typedDomainRef attribute and has dimension-domain arcs to zero or more domain member declarations [Def, 8] whose QNames comprise the dimension domain [Def, 9].

[Def, 8] A domain member declaration is an element defined in a taxonomy in the xbrli:item substitution group and not in the xbrldt:hypercubeItem or xbrldt:dimensionItem substitution groups.

[Def, 9] A domain of members is the set of QNames of all usable elements (see 2.5.3.3 below) in the dimensional relationship set [Def, 4] for the domain-member relation rooted at one domain member [Def, 8].

The domain members therefore inherit all the features of XBRL items, such as labels in multiple languages, presentation ordering, references, and extensibility of relations through prohibition, overrides, and augmentation. The members of the domain may also be arranged into a relationship domain‑member that satisfies the requirements for an inclusion relationship [DIM-REQ].

The domain of an explicit dimension is represented by the target item of a dimension‑domain relationship whose source is the explicit dimension element. The QName of the domain item is a valid member of the domain.

According to the architecture defined in Figure 1 above, primary items and explicit dimensions members are both in the substitution group of xbrli:item. A primary item defined in a taxonomy can play two different roles in an instance document: it could be used as a member of an explicit dimension in the context of another item or it can be used as an item too. The QName of a primary item MUST NOT be a member of the domain of any of its explicit dimensions.

Example 9. An explicit dimension element and its domain

Dimension Item Declaration in a taxonomy schema

Domain Members Declaration in a taxonomy schema

Domain Members in XBRL instances

<xs:element

name="ContinentDim"

type="xbrli:stringItemType"

abstract="true"

substitutionGroup="xbrldt:dimensionItem"

nillable="true"

id="geo_ContinentDim"

xbrli:periodType="instant"/>

 

<xs:element

name="SouthAmerica"

id="geo_SouthAmerica"

type="xbrli:decimalItemType"

substitutionGroup="xbrli:item"

nillable="true"

xbrli:periodType="instant"/>

 

<xs:element name="Continent"

id="geo_Continent"

type="xbrli:decimalItemType"

substitutionGroup="xbrli:item"

nillable="true"

xbrli:periodType="instant"/>

QNames (assuming that the namespace prefix of the targetNamespace is geo and there is a domain‑member arc from Continent to SouthAmerica):

 

geo:Continent

geo:SouthAmerica

2.5.3.1           Arc role http://xbrl.org/int/dim/arcrole/dimension-domain

A dimension‑domain relationship has an explicit dimension declaration [Def, 7] as its source and any domain member declaration [Def, 8] as its target. It binds a dimension to a domain.

The xbrli:balance, xbrli:periodType and nillable attributes of a domain declaration have no significance.

The arc may have a xbrldt:usable attribute as stated in 2.5.3.3 below.

[Def, 10] The effective domain of a dimension is the union of all dimension-domain arcs that exist for a particular dimension in the dimensional relationship set [Def, 4].

This arc role is defined as follows in the LRR:

<arcrole>

<roleURI>http://xbrl.org/int/dim/arcrole/dimension-domain</roleURI>

<status>DCR</status>

<versionDate>2006-03-20</versionDate>

<authoritativeHref

>http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-domain</authoritativeHref>

<requirement xml:lang="en">An explicit dimension has one domain.

</requirement>

<definition xml:lang="en">

</definition>

<versionOfXBRL>2.1</versionOfXBRL>

<minimumEditionDate>2005-11-07</minimumEditionDate>

<impactsTaxonomyValidation>true</impactsTaxonomyValidation>

<impactsInstanceValidation>true</impactsInstanceValidation>

<conformanceSuiteURI>http://www.xbrl.org/conf/dim/tests.xml</conformanceSuiteURI>

<validation xml:lang="en">The presence of a dimension-domain arc role indicates how part of a context is to be validated.

</validation>

  <attributes>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt"

use="optional">usable</attribute>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">targetRole</attribute>

</attributes>

<sourceAbstract>required</sourceAbstract>

<targetAbstract>optional</targetAbstract>

</arcrole>

It is declared as follows:

      <arcroleType

         id="dimension-domain"

         cyclesAllowed="none"

         arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-domain">

         <definition>Source (a dimension) has only the target (a domain) as its domain.</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

2.5.3.1.1          Constraints on the dimension-domain arcs

1.      A dimensional processor must raise an error [Dim Err, 13] xbrldte:DimensionDomainSourceError if the source of the arc is not a explicit dimension declaration [Def, 7].

2.      A dimensional processor must raise an error [Dim Err, 14] xbrldte:DimensionDomainTargetError if the target of the arc is not a domain member declaration [Def, 8].

3.      A dimensional processor MUST raise an error [Dim Err, 15] xbrldte:PrimaryItemPolymorphismError if there is a cycle in which the primary item source of the hypercube is also a member of a domain [Def, 9] of any of the declared explicit dimensions.

2.5.3.2           Arc role http://xbrl.org/int/dim/arcrole/domain-member

A domain-member relationship binds a domain to a member of a domain. The purpose of this relationship is to create sets of explicit domain members.

The base set of a domain-member relationship MAY have undirected cycles but MUST NOT have directed cycles.

This arc role is defined as follows in the LRR:

<arcrole>

<roleURI>http://xbrl.org/int/dim/arcrole/domain-member</roleURI>

<status>DCR</status>

<versionDate>2006-03-20</versionDate>

<authoritativeHref

>http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member</authoritativeHref>

<requirement xml:lang="en">An explicit dimension has one domain.

</requirement>

<definition xml:lang="en">Source (a domain) contains the target (a member).

</definition>

<versionOfXBRL>2.1</versionOfXBRL>

<minimumEditionDate>2005-11-07</minimumEditionDate>

<impactsTaxonomyValidation>true</impactsTaxonomyValidation>

<impactsInstanceValidation>true</impactsInstanceValidation>

<conformanceSuiteURI>http://www.xbrl.org/conf/dim/tests.xml</conformanceSuiteURI>

<validation xml:lang="en">The presence of a domain-member arc role indicates how part of a context is to be validated.

</validation>

  <attributes>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">usable</attribute>

  <attribute namespaceURI="http://xbrl.org/2005/xbrldt" use="optional">targetRole</attribute>

  </attributes>

<sourceAbstract>optional</sourceAbstract>

<targetAbstract>optional</targetAbstract>

</arcrole>

It is declared as follows:

      <arcroleType

         id="domain-member"

         cyclesAllowed="undirected"

         arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member">

         <definition>Source (a domain) contains the target (a member).</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

2.5.3.2.1          Constraints on the domain-member arcs

1.      A dimensional processor must raise an error [Dim Err, 16] xbrldte:DomainMemberSourceError if the source of a domain-member arc is not a primary item declaration.

2.      A dimensional processor must raise an error [Dim Err, 17] xbrldte:DomainMemberTargetError if the target of a domain-member arc is not a primary item declaration.

3.      A dimensional processor MUST raise an error [Dim Err, 15] xbrldte:PrimaryItemPolymorphismError if there is a cycle in which the primary item source of the hypercube is also a member of a domain [Def, 9] of any of the declared explicit dimensions.

2.5.3.3           The optional xbrldt:usable attribute

The xbrldt:usable attribute is used to denote domain members that must not be used as values of a domain in an instance document.  This allows members to be introduced into the domain member hierarchy for the purpose of organising the hierarchy.

The xbrldt:usable attribute may appear on http://xbrl.org/int/dim/arcrole/dimension-domain arcs or on http://xbrl.org/int/dim/arcrole/domain-member arcs.

The default value of the xbrldt:usable attribute is true.

If an arc has an xbrldt:usable attribute whose value is false, then its targets are excluded from the domain of valid members.

2.5.3.3.1          Constraints on the value of the xbrldt:usable attribute

1.      According to the xbrldt XML Schema, the value of the xbrldt:usable attribute must be Boolean.

2.6      Domain-member relations and inheritance (normative)

A primary item declaration may be the source of a domain‑member relationship. When a primary item declaration is the source of both a domain‑member relationship and a has‑hypercube relationship, the target of the domain‑member arc is said to inherit the has-hypercube relationship of the source element. Inheritance is transitive. Inheritance preserves the base set and DRS of the original has‑hypercube relationship, as well as the values of its xbrldt:contextElement attribute.

The example below shows two primary item declarations that have a common ancestor from which they inherit an all relation to a hypercube.

Example 10. Two primary item declarations inheriting a hypercube

Primary item declarations p_Sales and p_CostOfGoods are not the source of any has‑hypercube arc; they inherit the hypercube hcRegion_x_Product from the primary item declaration p_GrossProfit.

They are all roots of the same dimensional base sets.

 

A primary item declaration having no direct has‑hypercube relationships may inherit any number of has‑hypercube relationships, from its parents in the domain-member network.

The impact of has‑hypercube relationships on instance validation is unchanged merely because the relationships have been inherited.

2.6.1        Processing of multiple has-hypercube arcs

In example 6 above, the domain-member network created with elements from the primary taxonomy may have multiple has-hypercube arcs at different levels of the tree.

As stated in chapter 3.1.2 below “Mutual validity of hypercubes in a base set”, only the hypercubes that are found within the same base set are considered together for validation.

Example 11. Inheritance and processing of multiple hypercubes.

Element under validation

Extended link

Hypercubes

p_PrimaryParent

link1

hc_One

p_FirstChildren

link1

hc_One and hc_Two

p_SecondChildren

link1

hc_One and hc_Two

p_ThirdChildren

link1

hc_One and hc_Two

p_PrimaryParent

link2

None

p_FirstChildren

link2

None

p_SecondChildren

link2

hc_Three

p_ThirdChildren

link2

hc_Three

Hypercube inheritance is across the entire DRS of the domain-member network. When locating hypercubes associated with a primary item P, the network of has-hypercube arcs MUST include all has-hypercube arcs in the current base set and any other has-hypercube arc found in primary items that are ancestors of P in the domain-member network in any base set.

In example 12 below there is another example of this particular use case:

Example 12. Multiple All hypercubes in a domain-member network

 

This is the table of the possible values for each primary item:

Element

Product Dimension

Region Dimension

Explanation

p_GrossProfit

1,2,3

A,B,C

Directly linked hypercube hc_Reg_x_Prod defined in cube1

p_Sales

1,2,3

A,B,C

Inherited from parent p_GrossProfit

p_CostOfGoods

1,2,3

C

Inherited from parent is cube1, but cube2 with notAll excludes combinations of A,B with all members from the product dimension and keeps element C from the regions dimension combined with all members in the product dimension

p_ImportedGoods

1,2,3

No combination is possible, a warning may be raised by dimensional processors.

Inherited from parent p_CostOfGoods are only the combinations of the C product with all members in the department domain. cube3 is incompatible because it only includes product A. Either hypercube declared in (cube1 andNot cube2) or hypercube declared in (cube3) will be invalid so the hypercubes are not compatible and it is not possible to create a dimensionally valid instantiation of p_ImportedGoods.

The order in which the has-hypercubes arcs are processed is not relevant to the result.

2.7      Element declarations and linkbase syntax (normative)

Typed dimensions, explicit dimensions, domains and hypercubes are all represented using element declarations. [Def, 11] Dimensional elements are the element declarations that are the targets of has-hypercube, hypercube-dimension, dimension-domain and domain-member relationships.

There may be any number of standard labels of a dimensional element [Def, 11] in the base set in the schema-rooted DTS of the schema where the element is defined. Dimensional elements [Def, 11] may have multiple labels, but they must either be in different base sets, have different values of the xml:lang attribute or have different values of the xlink:role attribute. Therefore, extension taxonomies may provide multiple labels even with the same value of the xml:lang attribute.

2.7.1.1           Constraints on labels on dimensional elements

1.      There must be at least one standard label of a dimensional element [Def, 11] in the schema-rooted DTS of the schema where the element is defined. A dimensional processor must raise an error [Dim Err, 18] xbrldte:NoStandardLabelError if a dimensional element [Def, 11] has no standard label in the schema-rooted DTS of the schema where the element is defined.

2.8      Default values for dimensions (normative)

Dimensions are allowed to have default values.

The dimension-default relationship specifies which domain member plays the role of the default member for that dimension.

The default values for dimensions are automatically inferred by dimensional processors and MUST not appear in the context of an instance (see 3.1.4.1 below “Obtaining the dimension value for a dimension.”).

The automatic inference of default values for dimensions MAY be used in taxonomies to allow summation-item or other relationships between some specific facts reported without a particular dimension.

Example 13. Automatic inference of default values for summation-item relationships

<tx:GrossProfit contextRef="ctx1" unitRef="YEN">100000000</tx:GrossProfit>

<tx:GrossProfit contextRef="ctx2" unitRef="YEN" >50000000</tx:GrossProfit>

<tx:Taxes       contextRef="ctx1" unitRef="YEN" >35000000</tx:Taxes>

<tx:NetProfit   contextRef="ctx1" unitRef="YEN" >65000000</tx:NetProfit>

 

<context id="ctx1">

  <entity>

    <identifier scheme="http://nic.net">example.com</identifier>

  </entity>

  <period><forever/></period>

</context>

<context id="ctx2">

  <entity>

    <identifier scheme="http://nic.net">example.com</identifier>

    <segment>

      <xbrldi:explicitMember dimension="tp:ProductDim">p:Cars</xbrldi:explicitMember>

    </segment>

  </entity>

  <period><forever/></period>

</context>

In the tx taxonomy only the GrossProfit primary concept has a products dimension, and the default member in the products dimension is the p:TotalProducts member. A calculation network exists in the primary taxonomy tx to represent that NetProfit = GrossProfit – Taxes. The concept GrossProfit for TotalProducts (the one with contextRef="ctx1") is dimensionally valid (ProductDim = p:TotalProducts) and used in summation-items relationships with Taxes and NetProfit.

2.8.1        Arc role http://xbrl.org/int/dim/arcrole/dimension-default

The dimension-default arc role identifies in its source a dimension element and in its target the default member.

The default member indicated in the target of a dimension-default arc is global. If one dimension-default arc exists in one extended link, then the default member is considered as defined in all the extended links where the dimension is used and the domain contains the domain member indicated in the target of the arc.

The dimension-default relationship is not subject to the effect of the xbrldt:targetRole attribute.

The existence of a dimension-default arc does not add the target item to any of the domains of the source dimension.

This arc role is defined as follows in the LRR:

<arcrole>

<roleURI>http://xbrl.org/int/dim/arcrole/dimension-default</roleURI>

<status>DCR</status>

<versionDate>2006-03-20</versionDate>

<authoritativeHref

>http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-default</authoritativeHref>

<requirement xml:lang="en">A domain have a default member.

</requirement>

<definition xml:lang="en">Source (a dimension) default is the target (a member).

</definition>

<versionOfXBRL>2.1</versionOfXBRL>

<minimumEditionDate>2005-11-07</minimumEditionDate>

<impactsTaxonomyValidation>true</impactsTaxonomyValidation>

<impactsInstanceValidation>true</impactsInstanceValidation>

<conformanceSuiteURI>http://www.xbrl.org/conf/dim/tests.xml</conformanceSuiteURI>

<validation xml:lang="en">The presence of a dimension-default arc role indicates how part of a context is to be validated.

</validation>

  <attributes/>

<sourceAbstract>required</sourceAbstract>

<targetAbstract>optional</targetAbstract>

</arcrole>

It is declared as follows:

      <arcroleType

         id="dimension-default"

         cyclesAllowed="none"

         arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-default">

         <definition>Source (a dimension) declares that there is a default member that is the target of the arc (a member).</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

2.8.1.1           Constraints on dimension-default arcs

1.      A dimensional processor MUST raise an error [Dim Err, 19] xbrldte:DimensionDefaultSourceError if the source of the arc is not an explicit dimension declaration [Def, 7].

2.      A dimensional processor MUST raise an error [Dim Err, 20] xbrldte:DimensionDefaultTargetError if the target of the arc is not a domain member declaration [Def, 8].

3.      There MUST be no more than one default member in a domain. A dimensional processor MUST raise an error [Dim Err, 21] xbrldte:TooManyDefaultMembersError if this rule is violated.

2.8.1.2           Constraints on instance documents about the values that are the default for a dimension

1.      The default value of a dimension MUST NOT be reported in an instance. A dimensional processor MUST raise [Ins Err, 1] xbrldie:DefaultValueUsedInInstanceError when a default value is explicitly reported.

3         Dimensions in instance documents (normative)

Primary taxonomies define the concepts that will be used to represent the facts in a XBRL instance document.

An instance document whose DTS contains dimensional relationships according to this specification MUST be validated using the rules defined in this specification.

NON NORMATIVE NOTE: The validation of the instance document must be made item by item.  A dimensional processor must find the hypercubes related to an item in the document DTS and must validate the hypercubes one by one. One hypercube is valid if all its dimensions are valid. A dimension is valid if in the context there is a member of its domain. The result of the hypercubes validation must be combined for those hypercubes that coexist in the same base set using the specified operator “all”, “notAll”. One primary item is valid if there is at least one base set with a valid combination of hypercubes.

The following sections describe in more detail the rules that apply to the validation of every dimensional component.

3.1      Validation of primary items (normative)

Every primary item that has hypercubes in the taxonomies found in the DTS of the instance document MUST be valid according to at least one of the base sets in which its hypercubes are defined.

A primary item in an instance has a context and a primary item declaration. A primary item declaration is the root of a base set when the base set contains at least one has‑hypercube relation (all, notAll) whose source is that primary item.

When a primary item declaration is the root of a base set, it is also the root of the dimensional relationship set of that base set.

A dimensionally valid primary item must be either the source of no dimensional relationship sets, or the root of a DRS in which its context is dimensionally valid.

Example 14. Primary item at the root of a dimensional relationship set

Primary item declaration p_Sales is the root of the dimensional relationship set that includes, among others, all arcs in base set http://example.com/role/link3.

Whether a primary item appears inside a tuple has no relevance to whether its primary item declaration and context are dimensionally valid.

Primary items are dimensionally valid if the hypercubes found in at least one base set are mutually valid.

3.1.1        Constraints on the validity of primary items

1.      A primary item is dimensionally valid in the hypercubes found in at least one base set are mutually valid. See 3.1.2 below, “Mutual validity of hypercubes in a base set”. A dimensional processor MUST raise an error [Ins Err, 2] xbrldie:PrimaryItemDimensionallyInvalidError if the hypercube combinations found in all base sets are invalid.

3.1.2        Mutual validity of hypercubes in a base set

The primary item is valid according to the hypercubes defined in a base set if the operation that joins all the hypercubes is satisfied.

Figure 3 below, shows the warnings that a dimensional processor MAY raise when a primary item is not valid according to its hypercubes and the operation that combines multiple hypercubes within the same base set.

Figure 3. Combination of multiple hypercubes and the result operation.

Nș of cubes

Operator

Hypercube(s) evaluation

Primary Item eval. Result

Warning

1

all

Valid

Valid

No error

1

notAll

Invalid

Valid

No error

2

all

notAll

Valid

Invalid

Valid

No error

1

all

Invalid

Invalid

There is just one hypercube and is invalid for the all operation

1

notAll

Valid

Invalid

There is just one hypercube and is valid for the notAll operation

2

all

notAll

Valid

Valid

Invalid

There are multiple hypercubes defined in a base set and the result of the combination is invalid

3.1.3        Individual validity of hypercubes

Figure 4. Hypercube validity table

Closed

Empty

Dimensions

Instance dimensional data Dimension values

Dimension validity

Result

Yes

Yes

N/A

None

N/A

Valid

No

Yes

N/A

N/A

N/A

Valid

Yes

Yes

N/A

Dimension values found

N/A

Invalid

Yes

No

Dim1 and Dim2

Dimension value found for Dim1 and Dim2

Dim1 OK and Dim2 OK

Valid

Yes

No

Dim1 and Dim2

Dimension value found for Dim1 and Dim2 and Dim3 (Note 1)

N/A

Invalid

No

No

Dim1 and Dim2

Dimension value found for Dim1 and Dim2 and Dim3 (Note 2)

Dim1 OK and Dim2 OK and Dim3 N/A

Valid

Yes/No

No

Dim1

Dimension value not found for Dim1

N/A

Invalid

Yes/No

No

Dim1

Dimension value found for Dim1

Dim1 NOT OK

Invalid

All dimensions in a hypercube MUST be validated according to rules defined in 3.1.4 (“Validity of dimensions”).

Note 1: Invalid because the hypercube is closed and Dim3 is not expected.

Note 2: This hypercube is open, so Dim3 is allowed.

3.1.3.1           Constraints on the individual validity of hypercubes

1.            A closed hypercube must not contain unexpected dimension values. If a closed hypercube contains any unexpected dimension value the hypercube is invalid.

2.      There must be a dimension value in the container indicated in the value of the xbrldt:contextElement attribute in the has-hypercube arc. If there is no value for the dimension in the indicated container the hypercube is invalid.

3.      All dimensions defined in the hypercube must be valid according to the rules defined in 3.1.4 below. If one dimension is invalid the hypercube is invalid.

3.1.4        Validity of dimensions

[Def, 12] The dimension value is defined as the content of the dimension container for one specific dimension in one of the three possible dimension containers: segment, scenario or default values.

The dimension container is the content of the element xbrldi:typedMember for typed dimensions or the QName of the xbrldi:explicitMember for explicit dimensions or the QName of the default value of the dimension those dimension attribute value is the QName of the dimension in use.

A dimension value must be valid according to its domain. Validation of typed dimensions and explicit dimensions is defined in sections 3.1.4.4 below and 3.1.4.5 below respectively.

3.1.4.1           Obtaining the dimension value for a dimension

A dimensional processor must be able to obtain from the segment or scenario element the value reported for a typed or explicit dimension.

For explicit dimensions, if the value is not reported in the instance and the dimension has a default value the default value is considered as the value to be obtained.

3.1.4.2           Constraints about dimension values

1.      A context must not contain more than one dimension value for each dimension. A validator must signal [Ins Err, 3] xbrldie:RepeatedDimensionInInstanceError when this rule is violated.

2.      According to 2.8.1.2 above the default values cannot appear in the instance document and an error [Ins Err, 1] xbrldie:DefaultValueUsedInInstanceError must be raised if the default value is found.

3.1.4.3           Examples of context and their dimension validity

Example 15. Dimensionally invalid context containing two references to the same dimension

  <context id="c3">

    <entity>

      <identifier scheme="http://nic.net">example.com</identifier>

      <segment>

        <xbrldi:typedMember dimension="tax:Team">

          <d:Team>Rams</d:Team>

        </xbrldi:typedMember>

      </segment>

    </entity>

    <period><forever/></period>

    <scenario>

      <xbrldi:typedMember dimension="tax:Team">

        <d:Team>Lakers</d:Team>

      </xbrldi:typedMember>

    </scenario>

  </context>

Example 16. A segment that is valid with respect to a hypercube

  <context id="c4">

    <entity>

      <identifier scheme="http://nic.net">example.com</identifier>

      <segment>

        <xbrldi:typedMember dimension="tax:TeamDim">

          <d:Team>Rams</d:Team>

        </xbrldi:typedMember>

        <xbrldi:typedMember dimension="tax:DrinkDim">

          <d:Drink>Coors</d:Drink>

        </xbrldi:typedMember>

      </segment>

    </entity>

    <period><forever/></period>

  </context>

Example 17. Two segments not dimensionally valid with respect to a hypercube

  <context id="c5">

    <entity>

      <identifier scheme="http://nic.net">example.com</identifier>

      <segment>

        <xbrldi:typedMember dimension="tax:TeamDim">

          <d:Team>Rams</d:Team>

        </xbrldi:typedMember>

      </segment>

    </entity>

    <period><forever/></period>

  </context>

Missing a reference to the Drink dimension.

  <context id="c7">

    <entity>

      <identifier scheme="http://nic.net">example.com</identifier>

      <segment>

        <xbrldi:typedMember dimension="tax:DrinkDim">

           <d:Drink>Coors</d:Drink>

         </xbrldi:typedMember>

      </segment>

    </entity>

    <period><forever/></period>

  </context>

Missing a reference to the Team dimension.

Example 18. Valid and Invalid Hypercubes according to its dimensions and domains

Dimensions

Domains

Member

Result

RegionDim

r:Europe, r:Asia, r:Africa, r:SouthAmerica

r:Europe

Valid (member is in the domain)

RegionDim

r:Europe, r:Asia, r:Africa, r:SouthAmerica

r:Japan

Invalid (member is not in the domain)

RegionDim

and ProductDim

r:Europe, r:Asia, r:Africa, r:SouthAmerica

 

p:Wine, p:Cars, p:Other

p:Wine

Invalid (missing value for the Region Dimension)

xbrldie:hypercubeMissingInSegmentDimensionError must be raised

RegionDim

and ProductDim

r:Europe, r:Asia, r:Africa, r:SouthAmerica

 

p:Wine, p:Cars, p:Other

r:Japan

Invalid (missing value for the Products Dimension) xbrldie:hypercubeMissingInScenarioDimensionError must be raised

RegionDim

and ProductDim

r:Europe, r:Asia, r:Africa, r:SouthAmerica

 

p:Wine, p:Cars, p:Other

r:Africa

 

 

p:Soja

Invalid (member is not in the product domain)

RegionDim

and ProductDim

r:Europe, r:Asia, r:Africa, r:SouthAmerica

 

p:Wine, p:Cars, p:Other

r:Africa

 

p:Cars

Valid (members are in the Region and Product domains)

Example 19. Primary items those are not dimensionally valid because they violate their hypercube constraints

<unit id="eur"><measure>iso4217:EUR</measure></unit>

<context id="c19">

  <entity>

    <identifier scheme="http://nic.net">example.com</identifier>

    <segment>

      <xbrldi:explicitMember dimension="tax:ProductDim"    

        >m:RedWine</xbrldi:explicitMember>

      <xbrldi:explicitMember dimension="tax:RegionDim"

        >m:Barbados</xbrldi:explicitMember>

    </segment>

  </entity>

  <period><forever/></period>

</context>

<p:GrossProfit

  contextRef="c19" unitRef="eur"

  decimals="INF">10000</p:GrossProfit>

<p:CostOfGoods

contextRef="c19" unitRef="eur"

decimals="INF">50000</p:CostOfGoods>

<p:Sales contextRef="c19" unitRef="eur"

  decimals="INF">60000</p:Sales>

r:Barbados is not a domain member in hc_RegionDim; hence the constraint is violated by all three facts even though only p_GrossProfit had an explicit “all” arc to hc_Product_x_Region.

3.1.4.4           Typed dimensions

The member of a typed dimension is the instantiation of an element that conforms to the element referenced in the xbrldt:typedDomainRef attribute of a typed dimension declaration.

3.1.4.4.1          The xbrldi:typedMember element

The xbrldi:typedMember element is an XML element whose content MUST be another element whose schema declaration is located by the xbrldt:typedDomainRef attribute (see section 2.5.2.1 above).

  <element name="typedMember">

    <annotation>

      <documentation xml:lang="en">This element constains one child of anyType.

      </documentation>

    </annotation>

    <complexType>

      <sequence>

        <any namespace="##other"/>

      </sequence>

      <attribute name="dimension" type="QName" use="required"/>

    </complexType>

  </element>

The content of the dimension attribute of an xbrldi:TypedElement element must resolve to the QName of a typed dimension declaration [Def, 6] within the DTS of the instance.

A typed dimension is valid if there is a dimension value for the dimension that is valid XML according to the declaration referred in the xbrldt:typedDomainRef attribute.

Example 20. Two dimensions referenced in the segment of a context

  <context id="c1">

    <entity>

      <identifier scheme="http://nic.net">example.com</identifier>

      <segment>

        <xbrldi:typedMember dimension="tax:TeamDim">

          <d:Team>Lakers</d:dTeam>

        </xbrldi:typedMember>

        <xbrldi:typedMember dimension="tax:DrinkDim">

          <d:Drink>Coors</d:Drink>

        </xbrldi:typedMember>

      </segment>

    </entity>

    <period><forever/></period>

  </context>

Example 21. Two dimensions referenced in the scenario of a context

  <context id="c2">

    <entity>

      <identifier scheme="http://nic.net">example.com</identifier>

    </entity>

    <period><forever/></period>

    <scenario>

      <xbrldi:typedMember dimension="tax:TeamDim">

        <d:Team>Celtics</d:dTeam>

      </xbrldi:typedMember>

      <xbrldi:typedMember dimension="tax:DrinkDim">

        <d:Drink>Sam Adams</d:Drink>

      </xbrldi:typedMember>

    </scenario>

  </context>

Not all of the elements appearing in segment or scenario are necessarily dimension elements; see section 2.3.2.1 above regarding the “closed” attribute.

3.1.4.4.2          Constraints about the dimension attribute in xbrldi:typedMember elements

1.      The content of the dimension attribute of an xbrldi:typedMember element must be the QName of a typed dimension declaration [Def, 6] defined in a schema within the DTS of the instance document. A dimensional processor must raise an error [Ins Err, 4] xbrldie:TypedMemberNotTypedDimensionError if the element whose QName appears in the dimension attribute of xbrldi:explicitMember resolves to anything other than a typed dimension declaration [Def, 6].

3.1.4.4.3          Constraints on the content of xbrldi:typedMember elements

1.      According to the xbrldi XML Schema, every instance of xbrldi:typedMember must have only one child element.

2.      The typed dimension value must be valid XML according to the XML Schema syntax of the element referenced in the xbrldt:typedDomainRef attribute.

3.1.4.5           Explicit dimensions

The members of an explicit dimension are the QNames of elements found in the dimension domain.

3.1.4.5.1          The xbrldi:explicitMember element

The xbrldi:explicitMember element is an XML element whose content must be the QName of a member of the domain in the explicit dimension domain of the dimension to which its dimension attribute refers.

  <element name="explicitMember">

    <annotation>

      <documentation xml:lang="en">This element contains the QName of an item that is a member of an explicit dimension.

      </documentation>

    </annotation>

    <complexType>

      <simpleContent>

        <extension base="QName">

          <attribute name="dimension" type="QName" use="required"/>

        </extension>

      </simpleContent>

    </complexType>

  </element>

The explicit dimension is valid if the dimension value (QName) is a member of the effective dimension domain.

Example 22. A context that is dimensionally valid with respect to a hypercube with two explicit dimensions

<context id="c16">

  <entity>

    <identifier scheme="http://nic.net>example.com</identifier>

      <segment>

        <xbrldi:explicitMember dimension="tax:RegionDim" 

         >r:m_Iberia</xbrldi:explicitMember>

        <xbrldi:explicitMember dimension="tax:ProductDim"

         >p:m_RedWine</xbrldi:explicitMember>

      </segment>

    </entity>

    <period><forever></period>

  </context>

3.1.4.5.2          Constraints on the dimension attribute in xbrldi:explicitMember elements

1.      The content of the dimension attribute of an xbrldi:explicitMember element must be the QName of an explicit dimension element [Def, 7] defined in a schema within the DTS of the instance document. A dimensional processor must raise an error [Ins Err, 5] xbrldie:ExplicitMemberNotExplicitDimensionError if the element whose QName appears in the dimension attribute of xbrldi:explicitMember resolves to anything other than an explicit dimension declaration [Def, 7].

3.1.4.5.3          Constraints on the content of the xbrldi:explicitMember elements

1.      The content of the xbrldi:explicitMember element must be a QName whose global element definition can be found in the taxonomy schema referenced by the namespace of the QName. A dimensional processor MUST raise en error [Ins Err, 6] xbrldie:ExplicitMemberUndefinedQNameError if this rule is violated.

3.2      Definition of dimensionally equal facts (normative)

[Def, 13] Two facts are d-equal for one dimension if they have the same dimension value [Def, 12] for that dimension.

d-equal is an independent operation of c-equal, u-equal, s-equal defined in section 4.10 of the [XBRL] specification. d-equal is defined only for one fact and one dimension.

In order to allow the summation-item relationships to work, all dimensional elements (xbrldi:explicitMember and xbrldi:typedMember) found in the segment or scenario container of the context MUST have the same order in all other contexts in which they appear in the instance document.

Two facts related to different contexts that appear in different instances MAY be d-equal for all dimensions regardless of the order in which the elements appear inside the segment or the scenario.

Example 23. Multiple contexts and the result of the d-equal operation

Fact Sales in Context A

Fact Sales in Context B

d-equal( Sales, prodDim)

<segment>

  <xbrli:explicitMember dimension="tax:prodDim"

>p:product</xbrli:ExcplicitMember>

</segment>

<segment>

 <xbrli:explicitMember dimension="tax:prodDim">p:product</xbrli:ExcplicitMember>

</segment>

Yes.

Note the spaces between elements are different.

<segment>

  <xbrli:explicitMember dimension="tax:prodDim">p:product</xbrli:ExcplicitMember>

  <xbrli:explicitMember

dimension="tax:dept_dim">r:sales</xbrli:ExcplicitMember>

</segment>

<segment>

  <xbrli:explicitMember

dimension="tax:dept_dim">r:sales</xbrli:ExcplicitMember>

  <xbrli:explicitMember

dimension="tax:prodDim">p:product</xbrli:ExcplicitMember>

</segment>

Yes.

Note that the order of the two explicit elements is different. According to the text in this section these two contexts MUST not occur in the same instance.

<segment>

  <xbrli:explicitMember

dimension="tax:prodDim">p:product</xbrli:ExcplicitMember>

</segment>

<scenario>

  <xbrli:explicitMember

dimension="tax:prodDim">p:product</xbrli:ExcplicitMember>

</scenario>

No,

Dimensions MUST be reported in the same container type.

 

A       Errors (normative)

Validating Taxonomies

Statutes

[Dim Err, 1] xbrldte:HypercubeElementIsNotAbstractError....................................................... 8

[Dim Err, 10] xbrldte:TypedDomainRefError........................................................................... 19

[Dim Err, 11] xbrldte:TypedDimensionError............................................................................ 19

[Dim Err, 12] xbrldte:TypedDimensionURIError...................................................................... 19

[Dim Err, 13] xbrldte:DimensionDomainSourceError............................................................... 21

[Dim Err, 14] xbrldte:DimensionDomainTargetError............................................................... 21

[Dim Err, 15] xbrldte:PrimaryItemPolymorphismError............................................................. 21

[Dim Err, 16] xbrldte:DomainMemberSourceError................................................................... 22

[Dim Err, 17] xbrldte:DomainMemberTargetError................................................................... 22

[Dim Err, 18] xbrldte:NoStandardLabelError.......................................................................... 26

[Dim Err, 19] xbrldte:DimensionDefaultSourceError............................................................... 28

[Dim Err, 2] xbrldte:HypercubeDimensionSourceError.............................................................. 9

[Dim Err, 20] xbrldte:DimensionDefaultTargetError................................................................ 28

[Dim Err, 21] xbrldte:TooManyDefaultMembersError.............................................................. 28

[Dim Err, 3] xbrldte:HypercubeDimensionTargetError............................................................ 10

[Dim Err, 4] xbrldte:HasHypercubeSourceError...................................................................... 13

[Dim Err, 5] xbrldte:HasHypercubeTargetError....................................................................... 13

[Dim Err, 6] xbrldte:HasHypercubeMissingContextElementAttributeError.............................. 13

[Dim Err, 7] xbrldte:TargetRoleNotResolvedError................................................................... 17

[Dim Err, 8] xbrldte:DRSDirectedCycleError............................................................................ 17

[Dim Err, 9] xbrldte:DimensionElementIsNotAbstractError..................................................... 18

 

The namespace xbrldte is defined as http://xbrl.org/2005/xbrldt/errors

Taxonomy Error

Meaning

Ref.

[Dim Err, 1] xbrldte:HypercubeElementIsNotAbstractError

Hypercube element MUST be abstract

2.2

[Dim Err, 2] xbrldte:HypercubeDimensionSourceError

The source of the hypercube-dimension arc is not the correct type.

2.2.2.1

[Dim Err, 3] xbrldte:HypercubeDimensionTargetError

The target of the hypercube-dimension arc is not the correct type.

2.2.2.1

[Dim Err, 4] xbrldte:HasHypercubeSourceError

The source of an all, notAll arc is not the correct type.

2.3.1.1

[Dim Err, 5] xbrldte:HasHypercubeTargetError

The target of an all, notAll arc is not the correct type.

2.3.1.1

[Dim Err, 6] xbrldte:HasHypercubeMissingContextElementAttributeError

The all, notAll arc does not have an xbrldt:contextElement attribute.

2.3.1.1

[Dim Err, 7] xbrldte:TargetRoleNotResolvedError

The URI content of a xbrldt:targetRole attribute cannot be resolved via a roleRef to a roleType.

2.4.3

[Dim Err, 8] xbrldte:DRSDirectedCycleError

Within a Dimensional Relationship Set there must not be directed cycles not allowed by the arc declaration.

2.4.3

[Dim Err, 9] xbrldte:DimensionElementIsNotAbstractError

Dimension elements MUST be abstract

2.5

[Dim Err, 10] xbrldte:TypedDomainRefError

The xbrldt:typedDomainRef attribute appears on an element declaration that is not a dimension declaration.

2.5.2.1.1

[Dim Err, 11] xbrldte:TypedDimensionError

The xbrldt:typedDomainRef attribute does not locate a typed dimension.

2.5.2.1.1

[Dim Err, 12] xbrldte:TypedDimensionURIError

The xbrldt:typedDomainRef attribute contains an invalid URI or does not contain a fragment identifier

2.5.2.1.1

[Dim Err, 13] xbrldte:DimensionDomainSourceError

The source of a dimension-domain arc is not the correct type.

2.5.3.1.1

[Dim Err, 14] xbrldte:DimensionDomainTargetError

The target of a dimension-domain arc is not the correct type.

2.5.3.1.1

[Dim Err, 15] xbrldte:PrimaryItemPolymorphismError

A cycle exist, the primary item cannot be a member of the domain of any of its dimensions

2.5.3.1.1

2.5.3.2.1

[Dim Err, 16] xbrldte:DomainMemberSourceError

The source of a domain-member arc is not the correct type.

2.5.3.2.1

[Dim Err, 17] xbrldte:DomainMemberTargetError

The target of a domain-member arc is not the correct type.

2.5.3.2.1

[Dim Err, 18] xbrldte:NoStandardLabelError

The dimensional element does not have a standard label in any language.

2.7.1.1

[Dim Err, 19] xbrldte:DimensionDefaultSourceError

The source of a dimension-default arc is not an explicit dimension declaration

2.8.1.1

[Dim Err, 20] xbrldte:DimensionDefaultTargetError

The target of a dimension-default arc is not a domain member declaration

2.8.1.1

[Dim Err, 21] xbrldte:TooManyDefaultMembersError

The dimension has two or more members in its domain that MAY play the role of the default member.

2.8.1.1

Validating Instances

Other Authorities

[Ins Err, 1] xbrldie:DefaultValueUsedInInstanceError............................................................ 28

[Ins Err, 2] xbrldie:PrimaryItemDimensionallyInvalidError...................................................... 29

[Ins Err, 3] xbrldie:RepeatedDimensionInInstanceError........................................................ 31

[Ins Err, 4] xbrldie:TypedMemberNotTypedDimensionError.................................................... 34

[Ins Err, 5] xbrldie:ExplicitMemberNotExplicitDimensionError................................................. 36

[Ins Err, 6] xbrldie:ExplicitMemberUndefinedQNameError...................................................... 36

The namespace xbrldie is defined as http://xbrl.org/2005/xbrldi/errors

Instance Error

Meaning

Ref.

[Ins Err, 1] xbrldie:DefaultValueUsedInInstanceError

Default values of dimension MUST not be reported in instances.

2.8.1.2

[Ins Err, 2] xbrldie:PrimaryItemDimensionallyInvalidError

The primary item contains invalid hypercubes in all base sets

3.1.1

[Ins Err, 3] xbrldie:RepeatedDimensionInInstanceError

It is not allowed to report a value for the same dimension more then once.

3.1.4.2

[Ins Err, 4] xbrldie:TypedMemberNotTypedDimensionError

The xbrldi:typedMember element does not refer to a typed dimension.

3.1.4.4.2

[Ins Err, 5] xbrldie:ExplicitMemberNotExplicitDimensionError

The xbrldi:ExplicitMember element does not refer to an explicit dimension.

3.1.4.5.2

[Ins Err, 6] xbrldie:ExplicitMemberUndefinedQNameError

The QName value of the xbrldi:explicitMember element is not an element defined in the taxonomy schema.

3.1.4.5.3

 

B       Requirements Reference (non-normative)

This section cross references to the dimensional taxonomy requirements [DIM-REQ].

Id

Requirement

Satisfied by reference / Not satisfied

P1

Flexibility: The solution MUST be applicable to multiple environments in which dimensions are a good solution.

Satisfied. Any set of primary items for internal or external reporting may be augmented with dimensions.

P2

Consistency: XBRL concepts and terminology SHOULD be used to describe the solution. In particular, dimensions should be described using taxonomy schemas and linkbases when XML Schema is not adequate.

Satisfied. Section 2.5.2,Typed dimensions; Section 2.5.3, Explicit dimensions; Section 2.6, Domain-member relations and inheritance; use of arc roles all, notAll, hypercube-dimension, dimension‑domain, domain‑member arc roles.

P3

Simplicity: The solution MUST NOT include features for which there is no documented need.

Satisfied.

P4

Irredundancy: The solution SHOULD NOT require instances, schemas or linkbases to encode the same information in multiple places.

Satisfied. Use of base sets in validation to avoid redundancy explained in section 2.4, “Dimensional relationship sets.”  Association of typed dimension items and dimensional elements has a unidirectional reference, section 2.5.2.1, “The xbrldt:typedDomainRef”.

P5

Priority: An implementation of these requirements MUST NOT violate the most current edition of the XBRL 2.1 specification.

Satisfied. Definition links are defined only on items, explained in section 2.1, “Architecture”.

G01

Taxonomy authors MUST be able to define the valid combinations of Dimensions and Dimension members that MUST NOT, MAY or MUST occur in the segments and scenarios of the contexts of the facts of any concept, and whether other elements MAY or MUST NOT appear in segments and scenarios.

Satisfied; Section 2.3, “Primary item declarations and hypercubes;” and Section 3.1, “Validation of primary items.”

G02

One context may have multiple Dimensions. The Dimensions may be implicit or explicit.

Satisfied; Section 2.2, “Hypercubes.”

G03

Taxonomy authors must be able to name Implicit Dimensions.

Satisfied. Section 2.5.2, “Typed dimensions.”

G04

Taxonomy authors MUST be able to define constraints on valid implicit dimension members, while allowing instance authors to enumerate the members.

Satisfied. Section 2.5.2, “Typed dimensions.”

G05

Taxonomy authors MUST be able to extend or restrict the members of Implicit Dimensions of a base taxonomy.

Satisfied. Section 2.5.2, “Typed dimensions,” allows implicit dimensions to be defined on any XML Schema element of any type.

G06

Taxonomy authors must be able to define Explicit Dimensions.  An Explicit Dimension has a discrete list of valid Explicit Dimension Members.

Satisfied. Section 2.5.3, “Explicit dimensions.”

G07

Taxonomy authors must be able to define a suggested presentation ordering relation on Explicit Dimension Members.

Satisfied. Section 2.5.3, “Explicit dimensions.”

G08

Taxonomy authors must be able to define suggested labels to be associated with Explicit Dimension Members in different situations and in different languages.

Satisfied. Section 2.5.3, “Explicit dimensions;” explicit dimension members are non-abstract items that may have labels; rule 2.7.1.1 requires a label in one language.

G09

Taxonomy authors must be able to define an inclusion relationship on Dimension Members.

Satisfied. Section 2.5.3.2, the domain‑member relationship is the inclusion relationship.

G10

Taxonomy authors must be able to extend a base Explicit Dimension by adding Dimension Members, prohibiting or supplementing inclusion relationships, preferred presentation order, or text strings.

Satisfied. Section 2.5.3, “Explicit dimensions.”  Explicit dimensions are represented using the existing XBRL definition linkbase.

G11

Taxonomy authors must be able to define Dimension Member combinations among Explicit Dimensions that are valid or invalid in contexts of specific concepts.

Satisfied. Section 2.3, “Primary item declarations and hypercubes” and Section 3.1, “Validation of primary items.”

G12

Taxonomy authors must be able to use the same Explicit Dimension Members in any number of Explicit Dimensions.

Satisfied. Sections 2.5.3.1 and 2.5.3.2 define dimension‑domain and domain‑member relationships to allow reuse of both dimensions and domains.

G13

Taxonomy authors must be able to define summations over Explicit Dimension Members.

Not satisfied. This functionality will be implemented in a separate LRR entry.

G14

Taxonomy authors must be able to limit summations over Explicit Dimension Members to apply only to certain concepts.

Not satisfied. This functionality will be implemented in a separate LRR entry.

G15

Taxonomy authors must be able to define an equivalence relationship on Explicit Dimension Members within the same Explicit Dimension.

Not satisfied. This functionality will be implemented in a separate LRR entry.

G16

Taxonomy authors must be able to extend a base taxonomy that does not have dimensional information, to have Dimensions, without changing the concepts in the base.

Satisfied. Existing items and relationships from a primary taxonomy, such as summation‑item relationships, are not used in dimensional taxonomies, guaranteeing separation.

G17

The specification should minimise the number of elements required to express constraints on combinations of Concepts and Dimension Members.

Satisfied. Section 2.3, “Primary item declarations and hypercubes” allows a minimum of one element per hypercube; section 2.4, “Dimensional relationship sets” allows a set of dimension or domain relationships to be used by any number of hypercubes or primary item declarations.

G18

Formula linkbase authors MUST be able to select concepts that are reported in multiple dimensions.

Not satisfied in this specification, will be part of a function specification.

T1

The specification must include a conformance suite and the requirement that there be two independent implementations correctly processing that conformance suite.

Satisfied.

 

C       References (non-normative)

[DIM-REQ]

Ignacio Hernández-Ros, Walter Hamscher, David vun Kannon, Hugh Wallis

 

Dimensional Taxonomies Requirements Public Working Draft

 

DIM-REQ-PWD-2005-06-21.rtf

 

 

[RFC2119]

Scott Bradner

 

Key words for use in RFCs to Indicate Requirement Levels, March 1997

 

http://www.ietf.org/rfc/rfc2119.txt

 

 

[SCHEMA-0]

World Wide Web Consortium.

 

XML Schema Part 0: Primer.

 

http://www.w3.org/TR/xmlschema-0/

 

 

[SCHEMA-1]

World Wide Web Consortium.

 

XML Schema Part 1: Structures.

 

http://www.w3.org/TR/xmlschema-1/

 

 

[SCHEMA‑2]

World Wide Web Consortium.

 

XML Schema Part 2: Datatypes.

 

http://www.w3.org/TR/xmlschema-2/

 

 

[XBRL]

Phillip Engel, Walter Hamscher, Geoff Shuetrim, David vun Kannon, Hugh Wallis.

 

Extensible Business Reporting Language (XBRL) 2.1 Recommendation with corrected errata to 2005-11-07

 

http://www.xbrl.org/SpecRecommendations/

 

 

[XLINK]

Steve DeRose, Eve Maler, David Orchard

 

XML Linking Language (XLink) Version 1.0.

 

http://www.w3.org/TR/xlink/

 

 

[XML Base]

Jonathan Marsh

 

XML Base.

 

http://www.w3.org/TR/xmlbase/

 

 

[XPTR]

Paul Grosso, Eve Maler, Jonathan Marsh, and Norman Walsh, editors

 

XML Pointer Language (XPointer Framework) V1.0.

 

http://www.w3.org/TR/xptr-framework/

 

 

[RFC3987]

Martin Dürst, Michel Suignard

 

Internationalized Resource Identifiers, January 2005

 

http://www.ietf.org/rfc/rfc3987.txt

 

 

[RFC3986]

Tim Berners-Lee, Roy T. Fielding, Larry Masinter

 

URI Generic Syntax, January 2005

 

http://www.ietf.org/rfc/rfc3986.txt

D       Schemas (normative)

The following is the XML schema provided as part of this specification. It is normative. A non-normative version (which should be identical to this except for appropriate comments indicating its non-normative status) is also provided as a separate file for convenience of users of the specification.

XBRL taxonomies using this dimensional specification MAY import the xbrldt-2005.xsd schema and MUST be schema valid according to the schema validation rules defined in [SCHEMA-1] [SCHEMA‑2]. Any XML Schema validation error MAY stop dimensional processors from continuing to validate dimensional relationships.

XBRL instances using the elements defined in xbrldi-2006.xsd MUST be XML Schema valid according to validation rules defined in [SCHEMA-1] [SCHEMA‑2]. Any XML Schema validation error MAY stop the processing of the XBRL instance.

NOTE: (non-normative) Following the schema maintenance policy of XBRL International, it is the intent (but is not guaranteed) that the location of a non-normative version of this schema on the web will be as follows:

While any schema is the most current RECOMMENDED version and until it is superseded by any additional errata corrections a non-normative version will reside on the web in the directory http://www.xbrl.org/2005/

xbrldt-2005.xsd (normative)

<?xml version="1.0" encoding="utf-8"?>

<!-- (c) 2005 XBRL International. All Rights Reserved. http://www.XBRL.org/legal/

     This document may be copied and furnished to others, and derivative works that

     comment on or otherwise explain it or assist in its implementation may be

     prepared, copied, published and distributed, in whole or in part, without

     restriction of any kind, provided that the above copyright notice and this

     paragraph are included on all such copies and derivative works. XBRL is a

     registered trademark of AICPA licensed exclusively to XBRL International. -->

<xs:schema

xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xbrli="http://www.xbrl.org/2003/instance"

xmlns="http://www.xbrl.org/2003/linkbase"

xmlns:xlink="http://www.w3.org/1999/xlink"

xmlns:xl="http://www.xbrl.org/2003/XLink"

xmlns:xbrldt="http://xbrl.org/2005/xbrldt" targetNamespace="http://xbrl.org/2005/xbrldt"

elementFormDefault="qualified"

attributeFormDefault="unqualified">

  <xs:annotation>

    <xs:appinfo>

      <arcroleType

        id="hypercube-dimension"

        cyclesAllowed="none"

        arcroleURI="http://xbrl.org/int/dim/arcrole/hypercube-dimension">

        <definition>Source (a hypercube) contains the target (a dimension) among others.</definition>

        <usedOn>definitionArc</usedOn>

      </arcroleType>

      <arcroleType

         id="dimension-domain"

         cyclesAllowed="none"

         arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-domain">

         <definition>Source (a dimension) has only the target (a domain) as its domain.</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

      <arcroleType

         id="domain-member"

         cyclesAllowed="undirected"

         arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member">

         <definition>Source (a domain) contains the target (a member).</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

      <arcroleType

         id="all"

         cyclesAllowed="undirected"

         arcroleURI="http://xbrl.org/int/dim/arcrole/all">

         <definition>Source (a primary item declaration) requires a combination of dimension members of the target (hypercube) to appear in the context of the primary item.</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

      <arcroleType

         id="notAll"

         cyclesAllowed="undirected"

         arcroleURI="http://xbrl.org/int/dim/arcrole/notAll">

         <definition>Source (a primary item declaration) requires a combination of dimension members of the target (hypercube) not to appear in the context of the primary item.</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

      <arcroleType

         id="dimension-default"

         cyclesAllowed="none"

         arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-default">

         <definition>Source (a dimension) declares that there is a default member that is the target of the arc (a member).</definition>

         <usedOn>definitionArc</usedOn>

      </arcroleType>

    </xs:appinfo>

  </xs:annotation>

  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>

  <xs:simpleType name="contextElementType">

    <xs:restriction base="xs:token">

      <xs:enumeration value="segment"/>

      <xs:enumeration value="scenario"/>

    </xs:restriction>

  </xs:simpleType>

  <xs:attribute name="contextElement" type="xbrldt:contextElementType"/>

  <xs:attribute name="typedDomainRef" type="xs:anyURI"/>

  <xs:attribute name="closed" type="xs:boolean" default="false"/>

  <xs:attribute name="usable" type="xs:boolean" default="true"/>

  <xs:attribute name="targetRole" type="xs:anyURI"/>

  <xs:element

    name="hypercubeItem"

    id="xbrldt_hypercubeItem"

    abstract="true"

    substitutionGroup="xbrli:item"

    type="xbrli:stringItemType"

    xbrli:periodType="duration"/>

  <xs:element

    name="dimensionItem"

    id="xbrldt_dimensionItem"

    abstract="true"

    substitutionGroup="xbrli:item"

    type="xbrli:stringItemType"

    xbrli:periodType="duration"/>

</xs:schema>

xbrldi-2006.xsd (normative)

<?xml version="1.0" encoding="utf-8"?>

<!-- (c) 2005 XBRL International. All Rights Reserved. http://www.XBRL.org/legal/

     This document may be copied and furnished to others, and derivative works that

     comment on or otherwise explain it or assist in its implementation may be

     prepared, copied, published and distributed, in whole or in part, without

     restriction of any kind, provided that the above copyright notice and this

     paragraph are included on all such copies and derivative works. XBRL is a

     registered trademark of AICPA licensed exclusively to XBRL International. -->

<schema xmlns="http://www.w3.org/2001/XMLSchema"

targetNamespace="http://xbrl.org/2006/xbrldi"

elementFormDefault="qualified"

attributeFormDefault="unqualified">

  <annotation>

    <appinfo>

      <documentation xml:lang="en">This schema is used by XBRL instances that use dimensions to define legal segment and scenario element contents.</documentation>

    </appinfo>

  </annotation>

  <element name="explicitMember">

    <annotation>

      <documentation xml:lang="en">This element contains the QName of an item that is a member of an explicit dimension.

      </documentation>

    </annotation>

    <complexType>

      <simpleContent>

        <extension base="QName">

          <attribute name="dimension" type="QName" use="required"/>

        </extension>

      </simpleContent>

    </complexType>

  </element>

  <element name="typedMember">

    <annotation>

      <documentation xml:lang="en">This element constains one child of anyType.

      </documentation>

    </annotation>

    <complexType>

      <sequence>

        <any namespace="##other"/>

      </sequence>

      <attribute name="dimension" type="QName" use="required"/>

    </complexType>

  </element>

</schema>


E        Intellectual Property Status (non-normative)

This document and translations of it may be copied and furnished to others, and derivative works that comment on or otherwise explain it or assist in its implementation may be prepared, copied, published and distributed, in whole or in part, without restriction of any kind, provided that the above copyright notice and this paragraph are included on all such copies and derivative works. However, this document itself may not be modified in any way, such as by removing the copyright notice or references to XBRL International or XBRL organizations, except as required to translate it into languages other than English. Members of XBRL International agree to grant certain licenses under the XBRL International Intellectual Property Policy (www.xbrl.org/legal).

This document and the information contained herein is provided on an "AS IS" basis and XBRL INTERNATIONAL DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.

The attention of users of this document is directed to the possibility that compliance with or adoption of XBRL International specifications may require use of an invention covered by patent rights. XBRL International shall not be responsible for identifying patents for which a license may be required by any XBRL International specification, or for conducting legal inquiries into the legal validity or scope of those patents that are brought to its attention. XBRL International specifications are prospective and advisory only. Prospective users are responsible for protecting themselves against liability for infringement of patents. XBRL International takes no position regarding the validity or scope of any intellectual property or other rights that might be claimed to pertain to the implementation or use of the technology described in this document or the extent to which any license under such rights might or might not be available; neither does it represent that it has made any effort to identify any such rights. Members of XBRL International agree to grant certain licenses under the XBRL International Intellectual Property Policy (www.xbrl.org/legal).

F        Acknowledgements (non-normative)

This document could not have been written without the contributions of many people. The participants in the XBRL Specification Working Group, public commentators, and personal advisors have all played a significant role. The XBRL International Specification Working Group is chaired by Paul Warren (DecisionSoft) and vice chaired by Cliff Binstock (UBmatrix). Reviewers and commentators included Herm Fischer (UBmatrix), Masatomo Goto (Fujitsu), Geoff Shuetrim (KPMG) and Chris Simmons (DecisionSoft).

G       Document History (non-normative)

Date

Editor

Summary

2004-10-15

Hamscher

First skeletal draft created.

2004-10-17

Wallis

Rules of syntax, semantics, examples, and schema created.

2005-02-11

IHR

Added dimensions definition in a separate file

2005-06-06

IHR

Created a new version adapted to Test cases

2005-06-15

Hamscher

Edits to bring implicit and explicit dimensions into similar syntax.

2005-07-04

Hamscher

Second round of edits to bring implicit and explicit dimensions into a syntax that directly supports validation of contexts. Incorporated text edits suggested by Hugh Wallis.

2005-07-11

Hamscher

Combined the two variants of implicit dimensions and allowed XML Schema level validation of reference contents. Added the aggregator-contributor calculation arc role.

2005-07-12

Hamscher

Fixed typographical errors in schemas.

2005-07-13

Hamscher

Fixed namespace discrepancies. Changed xdi schema so that it no longer imports the xdt schema. Added definition arc attribute declarations to the xdt schema. Completed the error table.

2005-07-14

Hamscher

Typographical corrections. Corrected usages of ‘item’ and ‘concept’. Replaced usages of ‘arc’ with ‘relationship’ and defined it. Added a table correlating requirements with features. Added syntax constraint on the appearance of dimensionURI. Redefined arc roles using LRR DCR3 syntax, separating LRR declaration from schema declaration of arc roles.

2005-07-14a

Hamscher

Allow implicit dimensions to have any type. Correct namespace and locations in LRR entries.

2005-07-19

Wallis

Editorial updates to indicate Public Working Draft status

2005-07-23

Hamscher

Replaced the term “measure” with “primary item” or “primary item declaration” throughout. Made explicit that distinct base sets are disjunctive with respect to validation. Used the order attribute to force ordering of dimension references in segments and scenarios. Updated error tables to include closed attribute and to remove errors that would be signalled by XML Schema or XBRL validation. Added rule that a target role must be declared. Updated all examples to consistent terminology and created accompanying source files. Added the summable attribute to the has-hypercube arcs and removed aggregator-contributor arc role.

2005-07-24

Hamscher

Editorial changes to move syntax rules into separately numbered sections, motivated by draft conformance suite. Addition of rules to ensure that the content of definitionArc attributes are tested. Editorial changes to refer to ‘declarations’ rather than ‘definitions’.

2005-07-26

IHR

Editorial changes to add xdt: prefix on attributes. Added the skeleton of an example about how to calculate a Cartesian product of dimensions. Added comments about some validation rules that are covered by xml schema. Added the possibility of having abstract elements in domain-member networks. Changed wording to avoid the mixture of all, any and choice in the child elements of the primary dimension in the domain-member network.

2005-07-28

IHR

Changed summable attribute and example related to it. Changed also the Figure 1 with the overall structure of the dimensional elements.

2005-08-01

IHR

Wording and some examples. The arc roles have been changed in the document. The XDT schema allows undirected cycles in the any, all, choice arcs. The LRR entries have been updated to add the namespaceURI attribute to attributes

2005-08-04

IHR

Added namespace definitions for instance errors and taxonomy errors.

Each time an element is mentioned to be in substitutionGroup of xbrli:item I’ve added the text “in his head” to allow inheritance of element attributes if needed in the taxonomy design.

2005-08-12

IHR

Minimum editorial changes. Some typos corrected. Added xdie:RepeatedDimensionInInstance in the instance errors list Changed reference to error xdie:MemberNotExplicitDimension it now points to the right description. Changed point 2.8.4.1 to make it stronger in validation.

2005-08-19

IHR

Rebuilding of Example 19.

Added a new rule to check consistency of xdt:elt attribute, but it was removed on next day.

Added examples to the definition of “domain”, “explicit dimension” and “implicit dimension” terms.

New example 15 created to demonstrate Empty Dimensions

Changed most of the wording in the terms definitions

Added some text to clarify how the xdt:summation attribute works.

2005-08-26

IHR

Lot of changes this week; prefixed changes from xdt to xbrldt and xdi to xbrldi. Namespaces changed accordingly. Changed arcrole has-dimension to hypercube-dimension. Changed attribute dimensionURI to implicitDimensionRef. Changed attribute xdt:elt to xbrldt:contextElement (it will be removed in next version of this document). Wording changes to clarify some parts of the document. Added point 2.10.1 and 2.10.2 to set up the has-hypercube priority order. Changed the examples.

2005-09-07

IHR

Removed polymorphism of Hypercube elements and Dimension element, now they MUST be in the substitution group of hypercubeItem and dimensionItem respectively. Added the xbrldt:usable attribute to exclude members from a domain that helps in the member definition but are not valid members, removed the overloading of the abstract attribute. Changed the implicitDimensionRef attribute to implicitDomainRef. Added the ImplicitMember in the instances. Changed the chapter 2.9 about the validation of a context and removed most of the errors defined there. Removed the chapter 2.10 about the priority of hypercubes operations. Added a section 1.5 to define the namespaces used in this document. Examples updated and wording changes in the terms definition (hypercubes) and other parts. New schemas updated. Updated the error tables. Still TO DO: syntax of the Aggregator-Contributor networks and ordering of the dimensions in a context. Definition of d-equal MAY skip the definition of the dimensions order in a context.

2005-09-09

Hamscher

Updated xbrldt schema definitions of hypercubeItem and dimensionItem to be valid XBRL.  Updated LRR entries to 2005-08-11 CR3.  Incorporated Geoff Shuetrim editorial comments on 2005-08-26 draft.  Added missing default value of “false” to “closed” attribute.  Reworded syntax rules that would ordinarily be handled by XML Schema validation to “may signal” errors.  Re-sorted the instance error table.

2005-09-12

IHR

Corrected minor but important mistakes in the definition of source and target of all, any and choice arc roles. Corrected the type of arc on which the aggregator-contributor arcs may exist. Incorporated changes from Hamscher.

2005-09-15

IHR

Reordering of the overall document. Taxonomies first then instances and validation. Removal of xbrldt:polarity attribute and definition of the new notAll, notAny and notChoice arcs.

2005-09-26

IHR

Renamed Implicit dimension to Typed dimensions. Added default values for dimensions, reviewed the aggregators section, removed references to dimensions ordering.

2005-09-27

IHR

Updated LRR definitions, changed first letter to lowercase in typedMember, explicitMember, dimensionItem and hypercubeItem.

2005-10-07

IHR

Incorporated comments from Paul Warren. A new structure of the document has been created and there are a lot of changes everywhere.

2005-10-18

IHR

Removed any, notAny, choice, notChoice operations. Added the new memberItem substitutionGroup. Renamed discoverable relationship set to dimensional relationship set. Solved some ambiguity wording. Added normative and non-normative in titles.

2005-10-20

IHR

Editorial changes to format errors and first errors revision. Changed XML Schema errors to be reported as dimensional errors or XML Schema errors. Added marks to definitions to be able to reference them in the text or tables of content. Changed definition of aggregator-contributors arcs. Changed definition of d-equal facts. Added schema validation impact on taxonomies and instances.

2005-10-26

IHR

Changed back to have domain members items in the substitution group of xbrli:item. memberItem will be evaluated in the generic linkbase.

2005-11-30

IHR

Reinstated the xbrldt:PrimaryItemPolymorphismError constraint. Removed comments about the generic linkbase. Changed the “Domain” box in the Figure 1 into a “Member” box for clarity. Added an error if primary items are not numeric and subject of an aggregator-contributor network. Added an error if members of an aggregator-contributor base set were not usable. Removed all errors defined that can be handled by XML Schema validation.

2005-12-01

IHR

Added example 11 to explain which hypercubes affect a primary item during validation. Amendment typedElement definition in xbrldi schema. Changed schema file name to remove month and day. Wording changes in dimension-default relationships, two error added about source and target of a dimension-default arc. Allowed undirected cycles in domain-member arcs. Added an error to check the existence of the QName as an xbrli:item in the schema referenced in the QName. Changed errors at instance document validation level. Wording changed to move old errors to possible warnings that are now vendor specific.

2005-12-15

IHR

Cosmetic changes: schema references within the text are now references to the normative schema in section D. New Document property StatusShort to indicate IWD, PWD etc. Updates LRR definitions. Added error 8 to report invalid cycles in DRS. Removed summable attribute in notAll arcs. Bug#210 definition of dimensional elements [def-9] has been created and reference to section 1.3 removed. Bug#211 solved prohibiting an hypercube or a dimension to be the source of an “all” or “notAll” relationship. According to the resolution of Bug#215 the error xbrldte:TypedExplicitDomainWithImplicitDomainError has been removed. Added chapter 2.8.2.3 to explain “parallel tuples” and aggregator-contribution relationships.

2005-12-22

IHR

Removed aggregator-contributor definition and references. Implies removal of xbrldt:summable attribute. Fixed some LRR entries. Updated [Def, 1] to avoid non abstract elements in the xbrldt:hypercubeItem or xbrldt:dimensionItem substitution group to be valid primary items. Fixed explicit dimension definition [Def, 6] according to Bug#215.

2005-12-31

IHR

Incorporated editorial changes according to comments from Paul Warren.

Pending issues: Conformance suite URI in LRR entries and AutoritativeHRef in LRR entries of the xbtldt-2005.xsd schema.

2006-01-31

IHR

Editorial changes to explain the DRS, added the definition of consecutive dimensional arcs. Eliminated the impossible error xbrldt:DRSUndirectedCycleError. Fixed bug in example 12. Changed the xlink:href attribute on explicitMember and typedMember elements to new “dimension” attribute. The simple link element is now a QName.

2006-02-16

IHR

Editorial changes submitted during the public exposure period. Added an example in the dimension-default relationship

2006-02-24

IHR

Updated the xbrldi namespace due to the changes in the xbrldi schema. Added a paragraph and a note to example 11.

2006-03-20

HW

Editorial to reflect Candidate Recommendation status including removal of references to the LRR.

H        Approval process (non-normative)

This section will be removed from the final recommendation. SWG = Specification Working Group; ISC = International Steering Committee.

For this document, a necessary condition for advancing from stage 5 (Candidate Recommendation) to stage 6 (Draft Recommendation) shall be a conformance suite that has been exercised successfully by two vendors.

 

Stage

Party responsible for decision

Next step

Revisions needed

Target date for stage completion

1

Internal WD

SWG

Recommend for Stage 2

Stay in Stage 1

2005-07-14

2

Internal WD pending publication

ISC

Approve for Stage 3

Return to Stage 1

2005-07-19

3

Public WD under 45 day review

WD Editors

Minor revisions – to Stage 4

Major revisions – Restart Stage 1

2005-12-31

4

Draft Candidate Recommendation

SWG

Recommend for Stage 5

Restart Stage 3

2006-03-20

5*

Candidate Recommendation

ISC

Approve for Stage 6

Restart Stage 4

2006-05-01

6

Draft Recommendation

SWG

Recommend for Stage 7

Restart Stage 4

2006-05-01

7

Recommendation

ISC

Publication

Restart stage 4

2006-05-17