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LABELS PROGRAM LISTING PROGRAM gelmn c Gauss elimination method to solve a linear system of eqns dimension a(30,30),x(30) write(*,10) 10 format(1x,'To solve a linear system

LABELS

PROGRAM LISTING

PROGRAM gelmn

c

Gauss elimination method to solve a linear system of eqns

dimension a(30,30),x(30)

write(*,10)

10

format(1x,'To solve a linear system of equations using Gauss ',\)

write(*,20)

format(1x,'To solve a linear system of equations using Gauss ',\)

20

format(1x,'Elimination method with pivoting(using subroutine).')

write(*,*)'Enter the number of variables:'

read(*,*)n

write(*,*)'Enter the coefficients in the equations:'

read(*,*)((a(i,j),j=1,n+1),i=1,n)

DO 30 k=1,n-1

call pivot(a,k,n)

DO 90 i=k+1,n

u=a(i,k)/a(k,k)

DO 100 j=k,n+1

a(i,j)=a(i,j)-u*a(k,j)

100

continue

90

continue

30

continue

IF(abs(a(n,n)).LE.(.00001))THEN

write(*,*)'Ill conditioned equations.'

STOP

ENDIF

x(n)=a(n,n+1)/a(n,n)

DO 60 i=n-1,1,-1

sum=0

DO 70 j=i+1,n

sum=sum+a(i,j)*x(j)

70

continue

x(i)=(a(i,n+1)-sum)/a(i,i)

60

continue

write(*,*)'Values of the variables are as follows:'

DO 80 i=1,n

write(*,110)x(i)

110

format(1x,F10.3)

80

continue

STOP

END

subroutine pivot(a,k,n)

dimension a(30,30)

real mx

integer p,q

mx=abs(a(k,k))

p=k

DO 40 m=k+1,n

IF(abs(a(m,k)).GT.mx)THEN

mx=abs(a(m,k))

p=m

ENDIF

40

continue

IF(mx.LE.(.00001))THEN

write(*,*)'Ill-conditioned equations.'

STOP

ENDIF

DO 50 q=k,n+1

temp=a(k,q)

a(k,q)=a(p,q)

a(p,q)=temp

50

continue

return

END

Draw all flowgraphs (for every module) and calculate the cyclomatic complexity, v(G), essential complexity, ev(G), module design complexity, iv(G), system design complexity, S0, and integration complexity, S1 for the software code below.

(Please explain all subquestion answers in detail.)

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