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.=
span>
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. =
o:p>
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.=
span>
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:=
span>
· =
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'>
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.=
span>
[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.
=
=
span>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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