UML Class Relationship Diagrams

We don’t draw diagrams to stand by themselves.
- Instead, like the diagrams that appear in, say, your textbook, each one is intended as part of a larger document, much of which will be explanatory text.
- Furthermore, we draw diagrams for the same reasons we write sentences and paragraphs, to communicate some specific idea.
  - If a diagram is too complicated to be understood, it’s no more use than a sentence that is too complicated to be understood.
  - If a diagram is too vague to convey any definite meaning, it has no more value than an equally vague sentence.
The success or failure of a diagram lies entirely in its ability to communicate what the author intended.
The diagrams are actually the representation of a formal “language” and are expected to make statements that are meaningful according to the rules of that language.

1 Class Diagrams

A class diagram describes the types of objects in the system and selected static relationships among them.

The relationships can be

generalization (e.g., a Librarian is a specialized kind of Library Staff)
association (e.g., a Patron may have up to 20 Publications checked out at one time)

Perspectives

A diagram can be interpreted from various perspectives:

Conceptual: represents the concepts in the domain
at most loosely related to the software classes that will implement them
Specification: focus is on the interfaces of ADTs in the software
Implementation: describes how classes will implement their interfaces

The perspective affects the amount of detail to be supplied and the kinds of relationships worth presenting.

2 A Class, in Isolation

A class can be diagrammed as

You would use the simpler form in a conceptual perspective, or if the attributes and operations of the class were not relevant to the point of your diagram in specification or implementation perspectives.

Even an Empty Section has Meaning

Note that these are not equivalent:

The left diagram says that we aren’t discussing the attributes and operations.
The right diagram says that this class has no relevant attributes and operations.

2.1 Attributes

Attributes are given as

visibility name: type = defaultValue

Only the name is required. The others may be added when relevant:

visibility: + (public), # (protected), or - (private)
Only for implementation perspective.

When you are only talking about concepts or interface specifications, the idea of a “private” anything is irrelevant.

Attributes are usually single values.

Ones that take multiple values (lists, etc.) are generally represented using associations.

2.2 Operations

Operations are given as

visibility name (parameterlist) : return-type

Again, the amount of detail depends on the perspective (and on how much has actually been decided)

3 Generalization Relationships

A class (the “subtype”) is considered to be a specialized form of another class (the “supertype”) or, alternatively, the supertype is a generalization of the subtype if

conceptual: all instances of the subtype are also instances of the supertype
specification: the interface of the subtype contains all elements of the interface of the supertype
The subtype’s interface is said to conform to the interface of the supertype
implementation: the subtype inherits all attributes and operations of the supertype

Diagramming Generalization

The UML symbol for this relationship is an arrow with an unfilled, triangular head.

Read this arrow as “is a specialization of”, “is a kind of”, or “is a”. (The latter can be a bit ambiguous however, as we might also say that Webster’s Dictionary “is a” Book, but that’s not a generalization relationship.

We infer from the relationship that books and magazines have titles and dates of publication and that we can get their content. However, not all publications have ISBNs.

Multiple Specializations

Some classes may participate in multiple generalization relationships. The arrows are grouped together to indicate related, mutually exclusive, divisions:

4 Associations

An association is any kind of relationship between instances of classes.
- Generalization is not an association because it is a relation between the classes themselves, not between their instances (objects).
In a conceptual perspective, associations represent general relationships. In a specification perspective, associations often denote responsibilities.

Diagramming Associations

Associations are shown as lines connecting classes.

Plain associations like these are not particularly useful.
This one tells us, for example, that some spreadsheets have some kind of relationship with some cells.
- Only in very rare circumstances would that be a useful insight into the author’s understanding of the spreadsheet world.

Decorations

We make the associations meaningful by attaching various decorations.

4.1 Naming Your Relationships

Relationship Names

Most important of these are the decorations that name the relationship being shown.

Names: Names of relationships are written in the middle of the association line.
Good relation names make sense when you read them out loud:
- “Every spreadsheet contains some number of cells”,
- “an expression evaluates to a value”
They often have a small arrowhead to show the direction in which direction to read the relationship, e.g., expressions evaluate to values, but values do not evaluate to expressions.

Roles

Roles: a role is a directional purpose of an association.
Roles are written at the ends of an association line and describe the purpose played by that class in the relationship.
- E.g., A cell is related to an expression. The nature of the relationship is that the expression is the formula of the cell.

Roles and Attributes

In a specification or implementation perspective, roles often correspond to attribute names. These two representations are, in a sense, equivalent.

If we have conventions for naming attribute retrieval functions (e.g., get/set) , we can infer those from the role name.

Roles versus Attributes

When should you use attributes within a class and when should you use associations with role names?

Use associations when the relationship is not one-to-one.
Use associations when you want to target the attribute’s class for other associations (e.g., the “evaluates to” association in the earlier diagram.

Unnamed Associations are Useless

As a rule, I would argue that every association should have either a name or roles

(or be replaced by one of the specialized associations described later).

Unnamed Associations are Useless (cont.)

Not everyone agrees.

Some authors suggest that, if neither is given explicitly, then the association should be considered to have roles named for the classes.
- In other words, this

would default to

4.2 Multiplicity

Multiplicity indicates how many instances of a class participate in the relationship.

Multiplicity is encoded as:

k: Exactly k instances (where k is an integer or a known constant)
k..m: Some value in the range from k to m (inclusive)
*: Denotes the range 0..infinity. Can also be used on the upper end of a “..”, e.g., 1..* means “at least one”.

Diagramming Multiplicity

This diagram above indicates that

each spreadsheet contains any number of cells, but that
a cell is contained within exactly one spreadsheet.
Each cell contains exactly one expression and one value, and these values and expressions are not shared with other cells.

4.3 Navigability

Navigability arrows indicate whether, given one instance participating in a relationship, it is possible to determine the instances of the other class that are related to it.

The diagram above suggests that,

given a spreadsheet, we can locate all of the cells that it contains, but that
- we cannot determine from a cell in what spreadsheet it is contained.
Given a cell, we can obtain the related expression and value, but
- given a value (or expression) we cannot find the cell of which those are attributes.

Navigability and Role Names

In perspectives and relationships where the role names are attribute names, we would not have a role name for an un-navigable direction of an association.

Hence, we have no role name naming the cell related to a value or expression.

Navigability and Perspectives

Navigability is probably not useful in a conceptual diagram.
In a specification/implementation diagram, if no arrows are shown on an association, navigability defaults to two-way.

For example, in a specification perspective, this

defaults to
- In an implementation perspective, this would imply pointers in each object going to the related objects.

5 Specialized Associations

Certain kinds of associations occur so frequently that they are given special symbols that replace names and (often) role labels.

5.1 Aggregation

Denoted by an arrowhead drawn as an unfilled diamond, aggregation can be read as “is part of” or, in the opposite direction as “has a”.

This diagram suggests that cells are part of a spreadsheet and that an expression and a value are each part of a cell.

Aggregation Details

The multiplicity at the arrowhead defaults to “1”.
Aggregation is almost never named and roles are only used if the attribute name would be unexpected.
There is a lot of variation in deciding when to use use aggregation.
- For example, experts might disagree on whether a Library can be represented as an aggregate of its Librarians and of its Patrons.
- I recommend reading your suggested aggregations, out loud, as “is part of” and asking yourself whether they make sense.

Example: Should This Be Aggregation?

For example, this diagram tries to circumvent our rule that attributes are single-valued by having a “single” set as an attribute.

That would be OK in an implementation perspective (i.e., in a design model),
but not in an earlier model/perspective where it prematurely suggests a data structure.
- Though if a more neutral “seq. of” or “coll. of” were used, it might be OK.

Example: Should This Be Aggregation? (2)

This alternative would also be OK in a design model.
But it’s terrible in a conceptual perspective and uncomfortable in a specification perspective.
- If I read this as “books can be part of a patron”, I get a mental picture of books being surgically implanted into people. I would not accept that in a domain or analysis model.

Example: Should This Be Aggregation? (3)

This one is no better in the earlier perspectives.

If “a patron can be part of a book”, does that mean that I will find flat little people pressed between the pages?
- I’m starting to feel like I will never visit a library again.

Example: Should This Be Aggregation? (4)

So, for conceptual or specification perspectives, I’d avoid aggregation in this case and fall back to a general association.

(This also captures the bi-directional navigability with a bit more elegance as well.)

5.2 Composition

Composition is stronger form of aggregation. It implies that the “lifetime” of the parts is bound to the lifetime of the whole.

The usual test to see if composition applies is to ask, “if I delete/destroy the container, do the parts go away as well?”
Composition is denoted by an arrowhead drawn as a filled-in diamond.

Composition Example

This diagram suggests that destroying a cell would also destroy its value and formula. That makes sense if the cell does not share those components with other objects.

However, destroying a spreadsheet does not necessarily destroy its cells.

(We can infer that because, if the cells have been cut or copied to the clipboard, the spreadsheet could be destroyed and yet the cells would remain available for pasting into some other spreadsheet.)

5.3 Qualification

A qualified association describes a situation in which one class is related to multiple instances of another, but the collection of related instances is “indexed” by a third class.

This diagram indicates that a spreadsheet provides access to cells retrieved by cell name. It suggests an eventual implementation by something along the lines of a map or table.

5.4 Dependency

A class A depends on another class B if a change to the interface of B might require alteration of A.

A dependency is indicated by a dashed line ending at a navigability arrow head.
Dependencies have little use outside of an implementation perspective.

Dependency Example

This diagram shows a system that has been decomposed into three major subsystems.

The Model is the core data – the stuff that this program is really all about.
The View is the portion of the code responsible for printing or drawing portrayals of the model data - for example, code to render graphics on a screen as part of a GUI.
The Controller is the portion of the code responsible for accepting interactive inputs (mouse clicks, key presses, etc) and responding to them.

MVC

The dependencies shown here are the defining characteristic of the MVC approach to user interface design:

the controller depends upon, and therefore can make calls upon, the model
- (e.g., if someone enters a new data value via a GUI) and upon the view (e.g., someone clicks on a scroll bar or zoom button to alter the view without actually affecting the data).

MVC

The dependencies shown here are the defining characteristic of the MVC approach to user interface design:

the controller depends upon, and therefore can make calls upon, the model
Neither the view nor the model depend on the controller.
The view depends on the model
- you can’t draw something without being able to look at it.
But the model does not depend on the view.

Why MVC?

The advantage of this interface design is that we can radically change the user interface without altering the core computations (the model).

6 Other Class Diagram Elements

We won’t use these as often, but you should be able to recognize them.

Parameterized Classes

Used to represent templates and similar concepts.

Constraints

Constraints can be added almost any place by writing them within brackets.

Stereotypes

Stereotypes are an extension mechanism built in to UML. Written within <<…>>, these are labels used to indicate that you are deviating slightly from the standard interpretation of a UML construct.

For example, an interface is a collection of related operations.

It is not a full-fledged class.
We represent it, however, as a variation on the normal idea of a class.

Satisfies / Realizes

Another specialized association, this is actually a combination of dependency with the arrowhead of generalization.

7 Drawing UML Class Diagrams

In theory, you can use almost any drawing tool.

But general-purpose tools offer you more opportunities to mess up
Better to use a tool that “understands” UML

On our systems, we have

dia, an open-source product (Windows & Linux)
- recommended
Visio, a commercial product from Microsoft (Windows)
- Impossible to do some standard UML things
  - omit visibility markers
- Frustrating to do others:
  - getting a simple 1-box class,
  - using user-defined types for attributes & function parameters

Data Entry Rather than Direct Formatting

Both tools work by allowing you to create a class box, then editing its properties
- These properties include attributes and operations

Exporting the Final Product

As a general rule, you edit and save your documents in the tool’s native file format
Then export as graphics to be pasted into your documentation
- Use vector graphics formats whenever possible
  - e.g., Use: PDF, EPS, SVG, WMF, EMF
- Best choice depends on what your document tool can import
  - Avoid: GIF, BMP, , PNG
  - Especially avoid “lossy” raster formats: JPEG