MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C6E3EC.A05DB2C0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C6E3EC.A05DB2C0 Content-Location: file:///C:/5FC21C96/Singh-Yadav.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A critical analysis of the strength

A critical ana= lysis of the strength

 of desig= n measures of modular design architecture based software=

 

Dr. Raghuraj Singh

Vibhash Yadav

Computer Science & Engineering Department,

Harcourt Butler Technological Institute,

Kanpur-208002 (India)

Email: rscse@rediffmail.com= , vibhashds10@yahoo.com<= /b>

 


Abstract<= /p>

A central activity of softw= are architecture design is to decompose the software into modules or components that work together to achieve the required functionality. The main purpose = of this activity is to reduce problem complexity into smaller manageable parts= . The complexity can never be eliminated; however the designer or architect can reduce it by adopting suitable techniques. The strength of design of a soft= ware is generally measured by either considering mutual dependence of various modules or emphasizing on the live variables used in the software. In this paper, a critical analysis of the two approaches has been done by finding (= with the help of a program exclusively developed for this purpose) the strength/weakness of design of a large number of programs using both the approaches. Finally, with the results obtained, a relationship between the = two measures has also been developed.

 

Keywords=

S= oftware Weakness, Dependency Matrix, Live Variables, Overall Design Measure, Streng= th of Design.

<= o:p> 

1.    Introduction

 

Software architecture is a newly emerging discipline that has its roots in the earli= er history of software development. Even though the first published work on software architecture was in 1993 [1], its root go back to the late sixties when Edsger Dijkstra [2] pointed out that it pays to be concerned with how software is partitioned a= nd structured as opposed to simply programming to produce the correct results. Here our purpose is not to defend the importance of software architecture s= ince it is already established in the literature; however, we would like to defi= ne the concepts in order to provide the context of our work.    Throughout the literature the= re are many definitions of software architecture however the most appropriate one seems to be that provided by the Software Engineering Institute (SEI) [9] w= hich is: “The software architecture of a program or computer system is the structure or structures of the system, which comprise software components, = the externally visible properties of these components, and the relationship amo= ng them.”

 

T= he architectural design of a software system can be described from at least th= ree perspectives: 1) the functional partitioning of its domain of interest, 2) = its structure, and 3) the allocation of domain functions to that structure [10]= . It follows from these ideas that to assess design quality for a specific softw= are system, one would need to examine the functional partitioning among the identified structures that comprise the software architecture.

 

T= he work presented here is motivated by the importance of predicting software structural complexity at an early stage of the Software Development Life Cy= cle (SDLC) and the lack of clearly defined methods to go about the prediction. = A central activity of software archite= cture design is to decompose the software into modules or components that work together to achieve the required functionality. This decomposition is perfo= rmed primarily for the purpose of reducing problem complexity. The decomposition process produces what is referred to as intra-component and inter-component complexity that one uses to predict the overall system complexity.

<= o:p> 

Although there are many met= hods for determining strength or weakness of design of software but our work rel= ies on the two major approaches, one which is based on the mutual dependence of various modules of the program and the other on live variables used in the program along with their span. Focus of the work presented in this paper is= on critical analysis of the two approaches by finding the strength/weakness of design of a large number of programs and development of a relationship betw= een the two. Althou= gh these concepts can be used to measure design strength of a program written = in any programming language but in our paper, with the help of a software specifically developed for determination of strength/weakne= ss of program, we have approached to find out the weaknesses of a variety of prog= rams written in ‘C’ language.

 

<= b>2.    P= rogram Design Strength/Weakness

 

For determination of strength or weakness of program design many methods are available but in this paper we have approached to critically analyze two major methods which are based on the concept of live variables and mutual dependence of various modules of the software.

 

2.1 = Live Variable based Program Weakness

Most compilers and assembler= s have an option to generate a cross reference list, indicating the line where a certain variable is declared and the line or lines where it is referenced. = Such a list may be useful in determining the amount of data used in the program along with its debugging and maintenance. A developer must constantly be aw= are of the status of a number of data items during the development process. A reasonable hypothesis is: more the data items that a developer must keep tr= ack of when constructing statements, the more difficult it is to construct.

 

2.1.1=       =       Live Variables=

In order to characterize the intra-module data usage, we may use the concept of live variables and their spans. There are several possible definitions of a live variable [3]. =

= ·      =    A variable is live at a particular statement only if it is referenced a certa= in number of statement before and after that statement.

= ·      =    A variable is live from its first to its last references within a procedure.<= o:p>

= ·      =    A variable is live from the beginning of a procedure to its end.

Live variables depend on the= order of statements in the source program, rather than the dynamic execution- time order in which they are encountered. Although a measure based on run-time o= rder would be more precisely related to the life of the variable, but it would be much more difficult to define algorithmically.

 

2.1.2            Live Variable Count (LV)

It= is the total number of live variables used in the entire program module. It is also possible to define = the average number of live variables (LV), which is sum of the count of live variables divided by the count of executa= ble statements in the module. It will be used in mathematical expressions for calculating weakness of a program module.

 

2.1.3            Live Variable Span (SP)

It is a measure that capture= s some essence of how often a variable is used in a program. For a program that references a variable in N statements, there are N-1 spans of different siz= es for that variable. Size of a span indicates the number of statements that p= ass between successive uses of a variable [4], [6]. The concept of span of a variable can be extended to calculate = the “average span size” (SP), which is summation of all span sizes divided by the number of spans.

 

2.1.4            Program Weakness (LVW)

Concept of live variables is applied to calculate the numeric weakness values of various modules of the program and then aggregating these weakness values to calculate weakness of the overall program [5]. The live variable approach is based on the fact that in designing the program how many different variables are used, in what way, and how well they are connected to each other. Resul= ts show that a program having more frequent references to live variables will = have more live variable count, and as a consequence weaker design [5].

Using the avera= ge number of live variables and average life of variables (λ), module weakness (WM) has been defined as:

WM =3D  LV *  λ               &= nbsp;      (1)

Where λ is defined to b= e as λ =3D LV/total number of variables.

A list consisti= ng of the line number where a variable is declared and the line or lines where it= is referenced has been developed by a program written by us. This list has been used to compute the value of L= V and λ and subsequently the weakness value of a module.

Live variable b= ased program weakness which is the aggregated value of the module weakness values can be= a useful measure and is defined as:

n=

LVW =3D Σ<= /span> WMi/n                =     (2)

i=3D1

 

where n is the total number of mo= dules in the program and WMi is= the weakness of the module i. Higher value of the p= rogram weakness indicated weaker program design.

 

2.2 = Module Dependence based Program Strength/Weakness

Module dependence is primari= ly affected by coupling among various modules and cohesion of every individual module present in the program. Status of the module dependence can be used = to develop an indicator for the strength of design of a program. 

 

2.2.1      Dependence Matrix=

Dependence matrix is a struc= tured way of representing quantitative measure of dependence among various module= s of a program. The first order dependence matrix (FDM) represents quantitative measure of dependence among modules based on their mutual coupling and cohe= sion measures. For development of FDM following parameters are required.

<= span style=3D'font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'>·      =    Coupling measures of all ‘n’ modules, represented by an n x n matrix.

<= span style=3D'font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; mso-bidi-font-family:Symbol'>·      =    Cohesion measure of all ‘n’ modules represented by a vector of length n.=

Va= rious entries (Fij) of the First Order Dependency Matrix (FDM) are calculated using the fol= lowing formula:

Fi,j  =3D 0.15*(Si + Sj<= /sub>)+ 0.70 * Ci,j   &nb= sp;        (3)

where Si is the streng= th of module i, Sj the strength of module j and Ci,j is the coupling measure between module i & j.=

Complete depend= ence matrix (CDM) gives quantitative measure of dependence of modules based on t= heir direct coupling, cohesion and indirect coupling among modules. Various entr= ies (Di,j) of= Complete Dependence Matrix (CDM) = can be calculated using the prog= ram [7] considering multiple branches to reach every individual node in the module dependence diagram and making paths disjoint wherever necessary. Using this matrix, measures such as Expected = Change Measure (ECM) and Overall Design Measure (ODM) can be calculated as:=

        =             &nb= sp;            =                 n     

          ECM for module i =3D Σ  Di,j / n      &n= bsp;    (4)

        =             &nb= sp;            =                j=3D1  

 

ECM of a module shows the av= erage expected dependence of the module on other modules.

                =             &nb= sp;   n    n    

        &= nbsp; ODM  =3D   Σ<= /span>    Σ<= /span>  Di,j / n               = ;   (5)

        =             &nb= sp;          i=3D1 j=3D1

where i and j are not equal. ODM acts as an indicator for the overall strength of design = of the software being developed.

 

3.       Relationship between the two Approaches

It has been observed that concept of determination of design quality through live variables declared in the program and their sub= sequent usage is entirely different from that based on interaction among different modules (dependence matrix) used in the program as well as their individual functional strength. But on making critical analysis of program strength/weakness determined for a variety of sample programs following res= ults have been obtained:

·      =    If the number of modules in a program is more, the total number of live variab= les will also be more.

·      =    If the total number of live variables increases, for an optimal modular design= of the software, the number of modules should also be increased to reduce the complexity of the software.

·      =    ODM and LVW are also related to the extent that as the ODM increases, indicating the poor strength of design, the LVW also increases indicating weaker desig= n strength.

<= span style=3D'mso-ignore:vglayout;position:absolute;z-index:4;margin-left:10px; margin-top:9px;width:25px;height:182px'>3D"Text 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Fig.1: Relationship between ODM and LVM

 

<= b>4.     Conclusions

From the experimentation carried out on a variety of sample programs, it has been observed that both the approaches for determining strength/weakness of the = program are although quite different but are fundamentally related to the extent th= at if there is an increase in the overall design measure value (a weak design), the live variable weakn= ess value also increases indicating weaker design of the program (Fig. 1). Similarly, it is also concluded that if the number of modules increases the value of live variable weakness and the overall design measure are also increased. However, this is a general trend and some exceptions have also b= een observed during experimentation with the sample programs.=

 

5.      = References

[1]&= nbsp;        D. Garlan and M. Shaw, An Introduction to software Architecture, Advances in Software Engineering and Knowledge Engineering, v= ol. 2, 1993, pp. 1-39.

[2]&= nbsp;        E.W. Dijksatra, The Structure of ‘T.H.E.’ Multiprogramming Systems, CACM, vol. 18, no. 8, 1968, pp. 453-457.

[3]&= nbsp;        H.E. Dunsmore and J.D. Gannon, Analysis of the Progr= amming Factors on Programming Efforts, Journal of Systems and Software, 1980, pp. 141-153.

[4]&= nbsp;        J.L. Elshoff, An Investigation into the Effects of the Counting Method used on Software Science Measuremen= ts, ACM SIGPLAN Notices,  vol. 13,= 1978, pp. 30-45.

[5]&= nbsp;        K. K. Aggarwal and Yogesh Singh, Software Engineering, = Revised 2nd Ed., New     =   Age International Publisher, 2005.

[6]&= nbsp;        K.K Aggarwal and Yogesh Singh, A Modified Approach for Software Scienc= e Measures, ACM SIGSOFT Software Engineering Notes, USA, 1994.

[7]&= nbsp;        K.K. Aggarwal and Yogesh= Singh, Quantitative Determination for the Stability of Modular Software Design, Pr= oc. Of National Systems Conference, University of Roorkee, March 13-15, 1992, pp. 305-309.

[8]&= nbsp;        K.K. Aggarwal, Yogesh Singh, and Jitender Kumar Chhabra, A Multiple Parame= ter Software Complexity Measure, 2003.

[9]&= nbsp;        L. Bass, P. Clements, and R. Kazman, Software Architecture in Practice, Read= ing, MA= Addition Wesley, 1998.

[10]=      R. Kazman, G. Abowd, L= . Bass, and P. Clement, Scenario-Based Analysis of Software Architecture, IEEE Software, vol. 13, no. 6, 1996, pp. 47-55.

 

 <= /span>

=  

 

Raghuraj Singh received B. Tech degree in Computer Science & Engineering from the Harcourt  Butler Technological Institute, Kanpur<= /st1:City> India, in 1990, M.S. d= egree in Software Systems from the Birla Institute of Technology & Sciences, = Pilani, India, in 1997, and Ph.D. degree in Comput= er Science & Engineering from the Uttar Pradesh Technical University, Lucknow, India, in 2006. He is current= ly an Assistant Professor in the Computer Science & Engineering Department at the Harco= urt Butler Technological Institute, Kanpur, India. He= has previously worked as Lecturer in Computer Science & Engineering Departm= ent at Birla Technical Training Institute, Pilani a= nd C. R. State College of Engineering, Murthal, Harya= na. His total teaching experience is about 16 years. His research interests inc= lude software architecture, software reliability/quality assessment, Object-orie= nted design measurements, and software testing. He is a member of IETE, ISTE, and IE.

 

=  Vibh= ash Yadav<= /span> received B. Tech degree in Computer Science & Engineering from the Inst= itute of Chhatrapati Sahuji Maha= raj  Engineering & Technology, C.S.J.M. University, Kanpur, India in = 2005. He is currently a Lecturer in the Computer Science & Engineering Departmen= t at the Harcourt Butler Technological Institute, Kanpur, India.

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