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UML Notation

Jim Fawcett

CSE681 – Software Modeling & Analysis

Summer 2003

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UML Notation= 3;

Table of Conten= ts

<= span style=3D'font-size:85%'>·= Diagrams

<= span style=3D'font-size:85%'>·= Activity Diagram<= /span>

<= span style=3D'font-size:85%'>·= Activity Diagram Example

<= span style=3D'font-size:85%'>·= Context Diagram<= /span>

<= span style=3D'font-size:85%'>·= Data Flow Diagram<= /span>

<= span style=3D'font-size:85%'>·= Class Diagrams=

<= span style=3D'font-size:85%'>·= Using Relationship

<= span style=3D'font-size:85%'>·= Aggregation

·= Aggregation and Composition Contents

<= span style=3D'font-size:85%'>·= Inheritance

<= span style=3D'font-size:85%'>·= Polymorphism

<= span style=3D'font-size:85%'>·= Multiple Inheritance

<= span style=3D'font-size:85%'>·= IOSTREAM Hierarchy

<= span style=3D'font-size:85%'>·= Event Trace Diagram

<= span style=3D'font-size:85%'>·= Module Diagram<= /span>

<= span style=3D'font-size:85%'>·= Structure Chart

<= span style=3D'font-size:85%'>·= State Diagram<= /span>

<= span style=3D'font-size:85%'>·= Data Structure Diagrams

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UML Notation= 3;

Notation Source= s, Notes

·These notes describe the Universal Modeling language (UML) as described in:

&= #8211;UML Distilled, Martin Fowler, Addison Wesley, 1997

–Developing Software with UML, Bernd Oestereich, Addison Wesley, 1999

·We also discuss some additional diagrams, not part of UML. The diagrams discussed in this chapter are presented in order from highest level of abstraction, dealing with descriptions of top-level software activities to the lowest level of design detail, concerning states and control.

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UML Notation= 3;

<= ![endif]>

Architec= ture and Requirements &= nbsp; Contents

·= Activity Diagram
Used for high lev= el descriptions of program behavior, often associated with software architecture.

<= span style=3D'font-size:70%'>–shows the activities a program carries out

<= span style=3D'font-size:70%'>–which activities may be conducted in parallel =

<= span style=3D'font-size:70%'>–which activities must be synchronized for correct operation

·= Module diagram=
(variant of struc= ture chart – see below)
One of the main diagrams used to describe software architecture.

<= span style=3D'font-size:70%'>–shows calling dependencies between modules

·= Architectural Diagram

<= span style=3D'font-size:70%'>–Like a module diagram but may show non-module file= s

·= Context diagram
Also a high level description, used in documentation of architecture.

<= span style=3D'font-size:70%'>–used to show how a program interacts with its environment

·= Data Flow diagram
Used in requireme= nts documents.

–represents processing requirements and the informa= tion flows necessary to sustain them

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=

=

=

UML Notation= 3;

=

=

=

5

Design Documentation Contents

·= Class diagram (OMT diagram)

–sh= ows classes that are used in a program along with their = relationships

–s= ometimes also shows their physical packaging into modules

·= Event Trace diagram

–illustrates the timing of important messages (memb= er function invocations) between objects in the program

·= Structure Chart&= #13;

–sh= ows calling relationships between every function in a module and the calls int= o and out of the module

·= State Diagram

–s= hows how program navigates through its states

·= Data structure diagram

–illustrates the layout and relationships between important pieces of data in the program

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UML Notation= 3;

Activi= ty Diagram (Petri Net) Contents

·An Activity diagram shows:

<= span style=3D'mso-special-format:bullet;color:black;mso-color-index:1;position:= absolute; left:-3.86%'>– activities a program carries out&#= 13;

<= span style=3D'mso-special-format:bullet;color:black;mso-color-index:1;position:= absolute; left:-3.86%'>–which activities may be conducted in parallel&#= 13;

<= span style=3D'mso-special-format:bullet;color:black;mso-color-index:1;position:= absolute; left:-3.72%'>–which activities must be synchronized for corre= ct operation

·Each activity is shown by= a labeled bubble.

·Start and stop activities= are shown by darkened circles.

·Two or more activities wh= ich can be conducted in any order or in parallel are shown start= ing after a synchronizing bar.

·If two or more activities must all be completed before another activity begins, the synchronized activities are shown flowing into a synchronizing bar.

·Activities shown in series must be completed in the order shown.

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UML Notation= 3;

Activity Diagram &nbs= p; Contents

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UML Notation= 3;

Activity Diagram &nbs= p; Contents

•The Activity Diagram = is used to model high level activities in programs and systems. It is particularly useful for representing business systems and other human activities.

<= span style=3D'visibility:hidden'>

•T= he activity diagram is especially useful for representing systems that use synchronization. Of= ten the synchronization points, shown by thick bars, are pl= aces where materials or information is enqueued, waiting for a subseque= nt activity to begin.

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UML Notation= 3;

Extended Petri Nets Contents

·Activity diagrams extend = the notation used for Petri nets by explicitly showing decis= ion operations with a diamond symbol and labeled paths flowing = out of the decision operation.

·Activity diagrams which incorporate decision processing are used in much that same w= ay that flow charts were used (one of the earliest forms of graphical program documentation).

·They are more powerful th= an flow charts, however, as they make explicit the opportunity for parallel processing and the need for synchronization= .

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UML Notation= 3;

Activity Diagram Example Contents

·This Diagram represents work remaining to do on a Project.

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UML Notation= 3;

Context Diagram= Contents

·A context diagram shows how the processing you will build interacts <= /span>with its environment.

–Each rectangle represents some source of informati= on used by your program or so= me sink of information provided by your program. Your program does <= span style=3D'position:absolute;top:38.29%;left:16.66%;width:74.9%;height:3.65%= '>not provide these sources and sinks.

–T= he central oval represents all the processing you are obligated to develop. =

–Each line represents information required for your processing to succeed (input= s) or information your processing will generate (outputs).

·T= he information flows shown on the context diagram must match exactly the inputs and outputs on your top level Data Flow Diagram (DFD), described next.

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UML Notation= 3;

Context Diagram= Contents

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UML Notation= 3;

Data Flow Diagram Contents

·A data flow diagram represents processing requirements of a program and the informat= ion flows necessary to sustain them.

= –All processing represented by the context diagr= am is decomposed into a set of a few (perhaps three or four) pro= cess bubbles which are labeled and numbered.

= –The information necessary to sustain each proce= ss and generated by each process are shown as input and output data flows.

= –Inputs from the environment and outputs to the environment are show exactly as they appear in the conte= xt diagram.

= –When the inputs and outputs exactly match the context diagram we say that the data flow diagram is balanced.

= –If each of the processes represents approximate= ly the same amount of requirements detail we say that the diagram = is properly leveled.

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UML Notation= 3;

Data Flow Diagr= am Contents

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UML Notation= 3;

Data Flow Diagr= am Contents

•Data Flow Diagrams (DF= Ds) are used during the analysis of requirements for complex systems. Each bubble represe= nts a specific process which has been allocated tasks and requirements, so that al= l of the program’s obligations are partitioned among the processes shown on the top level DFD.

<= span style=3D'visibility:hidden'>

•E= ach data flow represents information necessary to sustain a process or generated by a process.

<= span style=3D'visibility:hidden'>•

<= span style=3D'mso-special-format:bullet;color:black;mso-color-index:1;position:= absolute; left:-3.9%;top:-.18em;font-size:125%'>•Note that Data Flow Diagrams are not officially part of the UML.

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UML Notation= 3;

An Example Data Flow Diagram Contents

This diagram represents processing in the DUPLICATES program.

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UML Notation= 3;

Lower = Level Data Flow Diagrams Contents

·We usually divide the processes in a data flow diagram into logical operations which= may not all need the same amount of detail to describe their process= ing requirements. When this is the case, we decompose the more complex processes into lower level data flow diagrams.

= –If a process is decomposed into lower level sub-processes this is shown on a lower level data flow diagram.

= –Each process in the lower level data flow diagram = must be numbered showi= ng its parent’s number and a unique number for each of its own processes, e.g., 3.4.

= –The lower level diagram must balance with its parent. That is, each of its= input flows and output flows must match those of i= ts parent.

= –If necessary a lower level data flow diagram may be further decomposed into s= till lower level diagrams. This i= s not uncommon for complex progr= ams.

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UML Notation= 3;

= Duplicates Program
Lower Level Data Flow Diagram = Contents

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UML Notation= 3;

Class Diagrams Contents

·A class diagram shows the classes that are used in a program along with all relevant relationships between classes.

= –A class diagram sometimes also shows the physic= al packaging of classes into modules.

<= span style=3D'mso-special-format:bullet;color:black;mso-color-index:1;position:= absolute; left:-3.13%'>–There are two especially important relationships between classes:

= •Aggregation shows an ownership or “part-of” relationship. This relationship is denoted by a line with a diamond attached to the owning class and terminating on the owned class. The UML requires the aggregation diamond to be filled with black if the owning class creates and destroys the owned object.

= •Inheritance shows a specialization or “is-a” relationship between classes. This relationship is denoted = by a line with a triangle pointing toward the base class. The line terminates on o= ne or more derived classes which specialize the behaviors of the base class. However, each de= rived class is required to handle all of the messages the base class responses to and are therefore also considered to be (specialized) base class objects.

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UML Notation= 3;

Classes and Obj= ects Contents

Class : a set of objects of one specific type

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UML Notation= 3;

Objects Contents

Object: an element of s= ome class

Each class represents a specific collection of data attribut= es of one or more types (its state) and a collection of functions = (behaviors) which modify or disclose the state of an object of the class.

Each class has, by default, a unique state, independent of a= ny other object of the class. However= , a class may declare that one or more data members must be sh= ared by all objects of the class.

<= span style=3D'visibility:hidden'>·

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UML Notation= 3;

Generic Classes= Contents

·It is frequently convenient to define a class in terms of a generic parameter of unspecified type. We call these generic classes and represent them with the symbols:

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UML Notation= 3;

Template Class Declaration Contents

·template <class T>= class vec {

· public:

· vec(int size=3D0); = ; // constructor

· vec(const vec<T>= ;& v); = ; // copy constructor

· ~vec(void); = ; &n= bsp; // destructor

· vec<T>& operator=3D(const vec<T>&);&nbs= p; // assignment

· T& operator[](int n); // indexing

· = ; T operator[](int n) const; &n= bsp; // indexing

· vec<T> operator*(T &t); = ; // scalar multiplication

· friend vec<T= > operator*(T &t, const vec<T>& v);

· = ; &n= bsp; = ; // scalar multiplication

· vec<T> operator+(const vec<T>&); // vector addition

· vec<T> operator-(const vec<T>&); // vector subtraction

· vec<T> operator*(const vec<T>&); // vector multiplication

· = ; T operator,(const vec<T>&); // inner product

· int size(); = ; // show size

· void write(ostream&, int, int); // formatted write to output

· friend ostream&= amp; operator<<(ostream&, const vec<T>&);

· = ; &n= bsp; = ; // output stream inserter

· void read(istream&); = ; // formatted read from in

· friend istream&= amp; operator>>(istream&, vec<T>&);

· = ; &n= bsp; = ; // input stream extractor

·private:

· char *_vName; // pointer to name allocated on heap

· int _arSize; // vector dimension

· = ; T *_array; // pointer to array allocated on heap

·};

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UML Notation= 3;

An association is a relationship linking two or more classes= or objects.

Associations Contents

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UML Notation= 3;

Relationships <= span style=3D'font-size:66%'>Contents

·The hollow ball indicates a multiplicity of zero or one for class 1
·The solid ball indicates a multiplici= ty of zero or more (many) for class 2.
·Absence of a ball indicates a multiplicity of one.
·There is one-to-one relationship betw= een classes 3 and 4 and one to many relationship between cla= sses 5 and 6.

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UML Notation= 3;

Link Attributes= Contents

·A model may = have attributes which clearly belong to the association relationship rather than to one of the classes in = the association. In this = case the association is given those attributes, an= d is denoted as shown below= .

Here, class 1 and class 2 have a one to many relationship in which the relationship has attributes denoted by an association attributes list.

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UML Notation= 3;

Association Examples Contents

<= span style=3D'position:absolute;top:17.56%;left:8.61%;width:82.39%;height:3.65%= '>
The diagram below captures the relationship between a student and her department.

Here, the program= of study is meaningless without the relationship between the student and her department.

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UML Notation= 3;

Association Exa= mple Contents

<= span style=3D'position:absolute;top:22.92%;left:12.35%;width:87.26%;height:4.14= %'>·This second diagram illustrates the relationship between a team leader and his team members.

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UML Notation= 3;

Using Relations= hip Contents

·Using is an association that models one class usin= g the behavior of another to carry out its own activities.

·The using relationship is implemented when a member function of the User class is passed an object of the Usee class or when it creates a local instance of = the Usee class.

·In a typical design there are many using relations= hips – too many to show conveniently. In this case we show only those t= hat are critical to the design.

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UML Notation= 3;

Using Example <= span style=3D'font-size:66%'>Contents

·class User { =

· public:

· User(const std::string &name);

· void show(Usee &usee);

· private:

· std::string _name;= 3;

·};

·Void User::show(Usee &usee1) {

· Usee usee2("Jake"); = ;

· std::cout << "\n I am " << _name <&l= t; ", and use two objects.";

· usee1.showUsee();

· usee2.showUsee();

·}

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UML Notation= 3;

Aggregation Contents

·Aggregations= are special associations which model a “part-of” or = “contained” semantic relationship.

In this diagram c= lass 1 contains classes 2 and 3. Cl= asses 2 and 3 are part-of class 1.<= /span>

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UML Notation= 3;

Aggregation and Composition Contents

Aggregations are “part-of” or containment relationships. Here, class 2 is part of <= /span>class 1. A stronger form of aggregation is the composition relationship. This is an aggregation in which the part-of represents an exc= lusive ownership. An owned <= /span>object is created when the owner is created and is destroyed when its owner is destroyed.

<= span style=3D'font-size:77%;visibility:hidden'>=

Composition is denoted by a dark fill in the diamo= nd end of the aggregation symbol. <= /span>When C++ programmers use the term aggregation they= mean this stronger compo= sitional form since aggregation is usually implemented by making the owned <= /span>class a data member of the owning class. In C++ this creates the stronger = compositional relationship.

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UML Notation= 3;

Composition Exa= mple Contents

·class part { =

· public:

· part(const std::string &name);

· void showPart(); =

· private:

· std::string _name;= 3;

·};

·class whole {

· public:

· whole(const std::stri= ng &name);

· void show();

· private:

· std::string _name;= 3;

· part a;

· part b;

·};

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UML Notation= 3;

Aggregation Exa= mple Contents

The diagram below illustrates the aggregation relationship inherent in a team.

The behaviors and attributes of the team are the sum of all the behaviors and attributes of the team leader and all the team members. In this sense aggregation represents an “and” semant= ic relationship.

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UML Notation= 3;

Inheritance Contents

Inheritance model= s an “is-a” semantic relationship.= Here the classes 2 and 3 inherit from class 1. We say that classes 2 and 3 are derived from = base class 1.

That means that c= lass 2 “is-a” class 1 and the same must be true for class 2. The “is-a” relationship is always a specialization. That is, both classes 2 and 3 must = have all attributes and behaviors of class 1, but may also extend the attributes and extend and modify the behaviors of = class 1.

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UML Notation= 3;

Inheritance Exa= mple Contents

·class Base { =

· public:

· Base(const std::string &name);

· virtual ~Base() { }&#= 13;

· virtual void show();&= #13;

· private:

· std::string _name;= 3;

·};

·class Derived : public B= ase {

· public:

· Derived(const std::st= ring &name);

· virtual void show();&= #13;

· private:

· std::string _name;= 3;

·};

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UML Notation= 3;

Inheritance Exa= mple Contents

The inheritance d= iagram below represents an architecture for a graphics editor.&= nbsp; The display list refers to graphics objects, which because of the “is-a” relationship, ca= n be any of the derived objects.

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UML Notation= 3;

Inheritance Exa= mple Contents

The base class graphicsObject provides a protocol for
clients like the display list to use, e.g., draw(), erase(),
move(), ... Cl= ients do not need to know any of the details that distinguish one of the derived class objects from another. ·
In C++, the protocol functions are qualified as virtual. This means that a derived cla= ss may override any base class definition to provide class specific semantics for this function. Furthermore, this means that the list manager client can be ignorant of specific types of objects addressed, simply calling the base protocol on any one of them.

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UML Notation= 3;

Importance of Polymorphism Contents

<= span style=3D'position:absolute;top:22.92%;left:12.35%;width:86.14%;height:4.14= %'>·When a base = class provides a protocol by defining one or more virtual functions that are overridden by derived classes, clients can use t= he base protocol to interact with any of the derived classes and need not know the details that distinguish one der= ived class from another. This is called polymorphism.
·Polymorphism= lets us minimize coupling between clients and the objects they use.
·Polymorphism= also allows us to extend a library to satisfy the needs of an application, provided that the library desig= ner has defined a base protocol and allowed us to derive from that base. The next example illustrates this. A directory navigation object use= s a base processing class = that applications can derive from to insert their own processing into the computa-tional stream.<= /span>

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UML Notation= 3;

Class Diagram Example

Logical and Physical

Structures of the

CATALOG program

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UML Notation= 3;

Multiple Inheritance Contents

A derived class may have more than one base class. In this case we say that= the design structure uses multiple inheritance.

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UML Notation= 3;

Multiple Inheritance Contents

<= span style=3D'position:absolute;top:24.63%;left:8.42%;width:83.89%;height:4.63%= '> The derived “is-a” base 1 and “is-a” base 2. Multiple inheritance is appropriate when the two base cla= sses are orthogonal, e.g., have no common attributes or behaviors, an= d the derived class is logically the union of the two base classes.

The next page shows an example of multiple inheritance taken= from the C++ Standard Library iostream module.= The classes iostream, ifstream, and ofstream all use multiple inheritance to provide their behaviors.

<= span style=3D'visibility:hidden'>·

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UML Notation= 3;

IOSTREAM Hierarchy

Contents

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UML Notation= 3;

Event Trace Diagram Contents

·An Event Trace diagram illustrates the timing of important messages (member = function invocations) between objects in a program= .

–= ;Each object is shown by a vertical bar =

–= Message traffic is shown by labeled horizontal lin= es flowing toward the object on which a method was invoked.

–= ;Time progresses downward in the diagram, but note = that the diagram does not attemp= t to show iteration loops or calling options.&= nbsp; If one of two calls may be made depending on some condition they are either both shown or neither is shown.

–= Iterations are sometimes hinted by preceding a met= hod name with a * symbol indica= ting that that method will be invoked multiple times in succession. =

·These diagrams usually show the major events, but don’t try to capture all little details - there m= ay be hundreds of messages flowing, but perhaps only a few are important enough to show.

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UML Notation= 3;

Event Trace Dia= gram Contents

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UML Notation= 3;

Event Trace Diagram Example Contents

This example is from the Duplicates program.

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UML Notation= 3;

Module Diagram Contents

·Module diagrams show function calling dependencies between modules in a program.

= –Each module is represented by a labeled rectangle.= Calling modules are shown above the modules they call.

= –A program should be decomposed into a single execu= tive module which direct= s the activities of the program and one or more server modules that provide processing necessary to implement the program’s requirements.

= –If we use a relatively large number of cohesive sm= all server modules it is quite = likely that we will be able to reuse some of the lower level modules in other programs we develop.

= –An executive module usually is composed of a singl= e file containing manual page, maintenance page, and implementation.

<= span style=3D'font-size:85%'>–A server module is composed of two files

•header file with manual and maintenance pages =

•implementation file with function bodies and test = stub

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UML Notation= 3;

Duplicates Program Module Diagram Contents

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UML Notation= 3;

Architectural Diagram Contents

·For some programs we may = wish to provide additional details in the module diagram.&#= 13;

= –If we use code generators like the Microsoft Founctation Classes (MFC) and resource editors (Visual C= ++ IDE) some files will be generated which do not fit nicely in= the standard modular structure, e.g., resource headers and scripts.<= span style=3D'mso-spacerun:yes'> In this case we may wish to show these additional files on an extended Module Diagram that we shall call an Architectural Diagram.

= –This diagram is a module diagram to which we add the generated files and may annotate with brief statements abo= ut processing required of each component.

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UML Notation= 3;

Architectural
Diagram

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UML Notation= 3;

Structure Chart Contents

·The str= ucture chart shows calling relationships between every function in a module and calls made into and out of the module.&= #13;

–= ;Callers are <= u>always shown above callees.

–= ;Lines without arrow heads are drawn from the calle= r to the callee.

–= ;All data flowing between the invoking and invoked function are shown with labeled arrows.

–= These arrows are called data couples and are usual= ly labeled with the name shown in the argument list of the called function.

–= ;If a control signal is passed between functions it= is shown with a hollow ball. No= te however, that what one function may consider data another function may consider control, e.g., used to make a decision. If in doubt about how to draw a couple show it as data.

–= ;Recursive calls or calls which would result in many crossing lines are shown with lettered circles instead.

Often one Structure Chart is made for each module in a program. The gray boxes are calls to, or by, functions outside the module.

<= span style=3D'font-size:77%;visibility:hidden'>·

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UML Notation= 3;

Structure Chart= Contents

<= span style=3D'visibility:hidden'>

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UML Notation= 3;

An Example Structure Chart Contents

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UML Notation= 3;

State Diagram Contents

·A State diagram shows the dynamic behavior of a finite state machine. Programs which incorporate langua= ge grammar processing or controller activities are often represented by state diagrams.

= –A state diagram contains a set of labeled bubbl= es, one for each state of the machine.

= –Labeled lines are drawn between states showing transitions from state to state. The labels indicate the event that triggered a transition from the source state to the destina= tion state.

<= span style=3D'mso-special-format:bullet;color:black;mso-color-index:1;position:= absolute; left:-3.96%'>–start and terminal states are shown with filled circles.

·In a sense, state diagrams are activity diagrams where the transition conditions have been emphasized and no synchronization or parallel activit= ies are shown.

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UML Notation= 3;

State Diagram <= span style=3D'font-size:66%'>Contents

<= span style=3D'visibility:hidden'>

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UML Notation= 3;

State Transition Diagrams Contents

<= span style=3D'position:absolute;top:25.6%;left:12.35%;width:88.57%;height:4.63%= '> State transition diagrams a= re usually used to represent low level design details, particularly when representing the processing of a grammar.&= #13;

<= span style=3D'visibility:hidden'>

I have used them to represe= nt the operation of a tokenizer and to show how code analysis grammar works.

<= span style=3D'visibility:hidden'>·

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UML Notation= 3;

State Diagram Example Contents

·This diagram represents processing required to analyze C or C++ source code, looking for function definitions, class or struct declarations, typedefs, and global data declarations.

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UML Notation= 3;

Data Structure Diagrams Contents

·Data structure diagrams h= ave no special syntax.

= –Their structure is defined to show the layout a= nd relationships between data items in a program.

= –There are diagrams used for data base design ca= lled entity-relationship diagrams which do have a syntax formalism. We shall not be concerned wi= th them in this course.

·Data Structure diagrams a= re often used to document the design of modules and classes which manage complex data for a program.

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UML Notation= 3;

= Duplicates Program
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