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14.2 Diagram Subject AreaA generic diagram is a picture that conveys the meaning of the underlying model.. Figure 14.1 Example: Data flow diagram for designing a database no ports.. reqm

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14.2 Diagram Subject Area

A generic diagram is a picture that conveys the meaning of the underlying model Figure 14.3 and Figure 14.4 support discrete tabs for attaching lines The gray shading is for entity types that involve metadata

An Icon is a picture that is symbolic of something Examples of Icons include an oval in

a data flow diagram and a compressor symbol in an equipment flow diagram Each Icon has

a name, as well as a scale and position that are applied to its corresponding IconType For ex-ample, Figure 14.2 has two Icons for heat exchangers (IconTypes) One Icon is named “Evap-orator” and the other Icon is named “Condenser” Each Icon belongs to a specific Diagram.

Figure 14.1 Example: Data flow diagram for designing a database (no ports)

reqmts

prepare

model

prepare IDEF1X

IDEF1X model

generate SQL

DDL

SQL design database

DDL

Figure 14.2 Example: Equipment flow diagram for an air conditioner (with ports)

E1:Expansion valve

C1:Compressor

Condenser Evaporator

refrigerant

outside air

tube out

tube in

tube in

tube out

in out

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Figure 14.3 Diagram subject area, with tabs: UML model A generic diagram

is a picture that suggests the meaning of the underlying model

Icon

name {unique}

Diagram

name

1

*

scale position

IconType

DiagramType

*

Tab

name scale position

1

*

Line

1 1 source target

TabType

1

*

LineType

1

*

1

*

1

1

*

0 1 0 1

Figure 14.4 Diagram subject area, with tabs: IDEF1X model

iconID

Icon

iconName (AK1.1) scale

position

iconTypeID

IconType

.

diagramID

Diagram

diagramName diagramTypeID (FK)

iconTypeID (FK) diagramID (FK)

diagramTypeID

DiagramType

.

tabID

Tab

tabName scale position iconID (FK) tabTypeID (FK)

lineID

Line

lineTypeID (FK) diagramID (FK) sourceTabID (FK) (AK1.1) targetTabID (FK) (AK2.1)

tabTypeID

TabType

.

lineTypeID

LineType

.

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A Tab is a discrete position on an Icon for attaching a Line A Tab has a name, as well

as a scale and position that are applied to its corresponding TabType The relationships be-tween Tab and Line illustrate the Node–Edge directed graph (see Chapter 3) The relation-ships between Icon, IconType, Tab, and TabType form a homomorphism (see Chapter 5).

A Line is a means for coupling two Tabs A Diagram is a set of Icons and Lines Section

14.5 defines DiagramType, IconType, TabType, and LineType.

Figure 14.5 and Figure 14.6 forego Tabs and permit lines to connect anywhere on an Icon.

14.3 Model Subject Area

A semantic diagram has a model that expresses the meaning Figure 14.7 and Figure 14.8 show the model with discrete ports

Figure 14.5 Diagram subject area, no tabs: UML model

Icon

name {unique}

Diagram

name

1

*

scale position

IconType

DiagramType

*

Line

1 1

*

*

source target

LineType

1

*

1

*

1

iconTypeID

IconType

.

Figure 14.6 Diagram subject area, no tabs: IDEF1X model

iconID

Icon

iconName (AK1.1) scale

position diagramID

Diagram

diagramName diagramTypeID (FK)

iconTypeID (FK) diagramID (FK)

lineID

Line

lineTypeID (FK) diagramID (FK) sourceIconID (FK) targetIconID (FK)

lineTypeID

LineType

.

diagramTypeID

DiagramType

.

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Figure 14.7 Model subject area, with ports: UML model A semantic

diagram has an underlying model that expresses the meaning

Entity

name

EntityType

name {unique}

SimpleEntity ExpandableEntity

PortType

name {unique}

1

*

Port

name

1

*

Model 1 *

1

*

Connection 0 1

0 1

1 1 input

output

ExpansionMapping

1

*

1

*

inner 1 1 outer 0 1

0 1

subModel name

Figure 14.8 Model subject area, with ports: IDEF1X model

entityDiscrim

entityID

Entity

entityName entityDiscrim entityTypeID (FK)

ExpandableEntity

expandableEntityID (FK) submodelID (FK)

SimpleEntity

simpleEntityID (FK)

entityTypeID

EntityType

entityTypeName (AK1.1)

portTypeID

PortType

portTypeName (AK1.1) entityTypeID (FK)

modelID (FK)

portID

Port

portName portTypeID (FK) entityID (FK)

connectionID

Connection

modelID (FK)

inputPortID (FK) (AK1.1)

outputPortID (FK) (AK2.1)

expansionMappingID

ExpansionMapping

expandableEntityID (FK)

innerPortID (FK) (AK1.1)

outerPortID (FK) (AK2.1)

modelID

Model

modelName

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An Entity is a thing with semantic meaning Examples of Entities include a data flow in

a data flow diagram and a piece of equipment in an equipment flow diagram An Entity can

be represented by an Icon in a generic diagram An Entity name may or may not be unique

within a model

A Port is a defined place for an Entity, available for a connection Just as Icons have

Tabs, so too Entities have Ports For example, an expansion valve has inlet and outlet ports.

An Entity has many Ports and each Port belongs to a specific Entity.

An Entity may have multiple Ports with the same name For example, a piping tee has

two outputs that are interchangeable (and consequently have the same name) A minimum value function could have up to ten inputs and one output that is the minimum value

Ports are helpful for some kinds of models and unnecessary for others If a diagram omits Ports, then connections go directly to Entities.

An EntityType is a classification of Entities For example, E101 (an Entity) is a heat

ex-changer (an EntityType) The EntityType specifies the kinds of ports (PortType) that apply.

It would be clumsy to define ports individually It is better to define them for an

Entity-Type Thus, an EntityType can have PortTypes A PortType is a classification of Ports Each

PortType belongs to a specific EntityType Then each Entity defines Ports corresponding to the PortTypes for its EntityType Such a mechanism enforces uniformity Note that the rela-tionships among Entity, EntityType, Port, and PortType form a homomorphism (see Chapter

5)

A Model is a set of Entities and Connections and has a meaning that a diagram

illus-trates Each Entity and Connection belong to a single Model Some of the Entities in a Model are ExpandableEntities and lead to submodels Hence Models can be structured as a

hierar-chy of arbitrary depth

There are two kinds of Entities: ExpandableEntities and SimpleEntities An Expand-ableEntity provides a placeholder for a submodel In an implementation, double clicking the

corresponding icon leads to the expansion into a lower-level diagram As Figure 14.1

illus-trates, some Entities can be expanded into submodels with a finer level of detail A submodel

is reusable and can be embedded in multiple places A SimpleEntity encompasses all other

Entities that do not lead to a submodel.

A Connection is a binding between an input Port and an output Port A Port may, or

may not, have a Connection The various Connections establish the direction of flow through Ports Port and Connection illustrate the Node–Edge directed graph (see Chapter 3).

The ExpansionMapping takes a Port on an interface (outer Port for an

ExpandableEn-tity) and couples it to a Port (an inner Port) within the corresponding subModel A Port may participate in one ExpansionMapping as an inner Port, one ExpansionMapping as an outer Port, or in no ExpansionMapping at all The inner Port must belong to an Entity that is di-rectly contained within the subModel.

Figure 14.9 and Figure 14.10 simplify the Model subject area and permit Connections anywhere on an Entity.

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