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bemlayer.f
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C--Elastic modeling for layering media
C with irregular interfaces
C--Forward method to assemble matrix
C--Point source in the surface domain ID=1
C--Using linear elements
C-------------------------------------------
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
PROGRAM EBEM
INCLUDE 'bemlayer.fin'
complex, allocatable:: gatd(:,:),gadd(:,:)
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
CALL EDITP
c******************************************
LECL10=2*(2*NG)
OPEN(10,FILE=TEMNAM,ACCESS='DIRECT',RECL=4*LECL10)
MAB=0
DO 999 ISTEP=KSTEP,NSTEP
MAB=MAB+1
WRITE(*,*) ISTEP
MXX=0
MYY=0
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
DO ID=1,ND
CALL SHLI(ISTEP,ID)
ENDDO
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cc Compute the coeffient matrix above the source layer
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
DO ID=1,LS-1
CALL FMAT1(ID,ISTEP)
ENDDO
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cc Compute the coeffient matrix below the source layer
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
DO ID=ND,LS+1,-1
CALL FMAT2(ID,ISTEP)
ENDDO
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cc when ID=LS SOLVE the matrix
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
CALL FMATS(LS,ISTEP)
RESU=(0.0,0.0)
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c Complute the displacement and traction along the boundries
c
DO ID=LS-1,1,-1
N1=2*(NSTA(ID,1,2)-NSTA(ID,1,1)+1)
N2=2*(NSTA(ID,2,2)-NSTA(ID,2,1)+1)
allocate(gadd(N1,N2),gatd(n2,n2))
call gaload(istep,id,gatd,n2)
call gaload1(istep,id,gadd,n1,n2)
DISP(ID,1:N1,1:NFS)
* =MATMUL(GADD,DISP(ID+1,1:N2,1:NFS))
TRACT(ID+1,1:N2,1:NFS)
* =MATMUL(GATD,DISP(ID+1,1:N2,1:NFS))
deallocate(gadd,gatd)
ENDDO
IF(.FALSE.) THEN
DO ID=LS+1,ND-1
N1=2*(NSTA(ID,1,2)-NSTA(ID,1,1)+1)
N2=2*(NSTA(ID,2,2)-NSTA(ID,2,1)+1)
allocate(gadd(n2,N1),gatd(n1,n1))
call gaload(istep,id,gatd,n1)
call gaload1(istep,id,gadd,n2,n1)
DISP(ID+1,1:N2,1:NFS)=
* MATMUL(GADD,DISP(ID,1:N1,1:NFS))
TRACT(ID,1:N1,1:NFS)=
* MATMUL(GATD,DISP(ID,1:N1,1:NFS))
deallocate(gadd,gatd)
ENDDO
IF(ND.NE.LS) THEN
ID=ND
N1=2*(NSTA(ID,1,2)-NSTA(ID,1,1)+1)
allocate(gatd(n1,n1))
call gaload(istep,id,gatd,n1)
TRACT(ID,1:N1,1:NFS)=
* MATMUL(GATD,DISP(ID,1:N1,1:NFS))
deallocate(gatd)
ENDIF
ENDIF
C-------------------------------------------
CALL BIPTS(ISTEP,MAB)
C---------------------------------------------
999 CONTINUE
CLOSE(10)
C---------------------------------------------
OPEN(10,FILE=TEMNAM,ACCESS='DIRECT',RECL=4*LECL10)
LECL11=LENGTH
PRINT*,'LECL11=',LECL11
OPEN(11,FILE=OUTNAMU,ACCESS='DIRECT',RECL=4*LECL11)
OPEN(12,FILE=OUTNAMW,ACCESS='DIRECT',RECL=4*LECL11)
CALL FRES
CLOSE(10)
CLOSE(12)
CLOSE(11)
C----------------------------------
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& EDITP
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE EDITP
CHARACTER(77) DFILE
CHARACTER(6) DOMAIN
REAL TEMPX(2000),TEMPY(2000),TEMPR(2000)
INTEGER TTR
C
INCLUDE 'bemlayer.fin'
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
WRITE(*,*) 'Input the PARfile name.'
C READ(*,'(a77)') DFILE
OPEN(2,FILE='ebem.dat',ACCESS='SEQUENTIAL')
READ(2,'(64X)')
C---------SET GLOBAL PARAMETERS-----------
READ(2,*) ND,NFS,NGQ,NREQ,TLEN,DELTA,NS,DAMP,TSHIFT
WRITE(*,*) ND,NFS,NGQ,NREQ,TLEN,DELTA,NS,DAMP,TSHIFT
C NFS=1
LENGTH=ANINT(TLEN/DELTA)+1
C--------------------------------------------------
READ(2,*) WLEN,F0,FMIN,FMAX,XMIN,XMAX
WRITE(*,*) WLEN,F0,FMIN,FMAX,XMIN,XMAX
XMIN=XMIN
XMAX=XMAX
C-------------------------------------------------
ANG2RAD=PI/180.0
DO IFS=1,NFS
READ(2,*) ISOURCE(IFS),XSEC(IFS),YSEC(IFS),SFLAG(IFS),
& THETA(IFS),THETA1(IFS),THETA2(IFS)
write(*,*) ISOURCE(IFS),XSEC(IFS),YSEC(IFS),SFLAG(IFS),
& THETA(IFS),THETA1(IFS),THETA2(IFS)
LS=ISOURCE(IFS)
XSEC(IFS)=XSEC(IFS)
YSEC(IFS)=YSEC(IFS)
THETA(IFS)=THETA(IFS)*ANG2RAD
THETA1(IFS)=THETA1(IFS)*ANG2RAD
THETA2(IFS)=THETA2(IFS)*ANG2RAD
ENDDO
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c Change the input format of receiver positions, 09/09/2005
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
READ(2,*) NREC
open(55, file='receiver.dat',status='old')
NG=NREC
K=0
DO IREC=1,NREC
READ(55,*), RECFLAG(IREC,1),RECFLAG(IREC,2),XREC,YREC
ROCOOR(IREC,1)=XREC
ROCOOR(IREC,2)=YREC
ENDDO
CLOSE(55)
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
READ(2,'(a77)') TEMNAM
WRITE(*,'(a77)') TEMNAM
READ(2,'(a77)') OUTNAMU
WRITE(*,'(a77)') OUTNAMU
READ(2,'(a77)') OUTNAMW
WRITE(*,'(a77)') OUTNAMW
C-----------------------------------------
DO I=1,ND
READ(2,*) DOMAIN,ID,DEN,PVEL,SVEL,MBN
WRITE(*,*) DOMAIN,ID,DEN,PVEL,SVEL,MBN
RMATE(I,1)=DEN
RMATE(I,2)=PVEL
RMATE(I,3)=SVEL
MBDATA(I)=MBN
IF(I.eq.1) then
READ(2,*) N1S,N1E,N2S,N2E
WRITE(*,*) N1S,N1E,N2S,N2E
else
READ(2,*) N2S,N2E
WRITE(*,*)N2S,N2E
endif
IF(N2E.NE.MBN) THEN
PRINT*,'MBN and N is not same'
stop
endif
MSTA(I,1,1)=N1S
MSTA(I,1,2)=N1E
MSTA(I,2,1)=N2S
MSTA(I,2,2)=N2E
C-----------SET REPEAT PARAMETERS--------
if(id.eq.1) then
DO J=1,MBN
READ(2,*) IP,XD,YD
WRITE(*,*) IP,XD,YD
XCOORD(I,J,1)=XD
XCOORD(I,J,2)=YD
ENDDO
else
DO J=N2S,N2E
READ(2,*) IP,XD,YD
WRITE(*,*) IP,XD,YD
XCOORD(I,J,1)=XD
XCOORD(I,J,2)=YD
ENDDO
endif
ENDDO
CLOSE(2)
C----------------------------------------
IF(NREQ.EQ.0)THEN
IDIV=2*ANINT(WLEN/DELTA)+1
ELSE
IDIV=ANINT(WLEN/DELTA)+1
ENDIF
IDIV=(IDIV/2)*2+1
NSAMP=512
IF(LENGTH.GT.512)NSAMP=1024
IF(LENGTH.GT.1024)NSAMP=2048
IF(LENGTH.GT.2048)NSAMP=4096
IF(LENGTH.GT.4096)NSAMP=8192
I=0
N=1
5 I=I+1
N=2*N
IF(N.EQ.NSAMP)THEN
NN=I
ELSE
GO TO 5
ENDIF
KSTEP=NINT(FMIN*NSAMP*DELTA)
IF(KSTEP.EQ.0)KSTEP=1
NSTEP=NINT(FMAX*NSAMP*DELTA+0.5)
c print*,NSTEP,FMAX,'xixix',FMAX*NSAMP*DELTA+0.5
C-----------DESIGN WAVELET-----------
DO I=0,NSAMP-1
REPA(I)=0.0
AIMPA(I)=0.0
END DO
DF=1.0/(NSAMP*delta)
print*,'df=',df
cccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c Source time function
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
SELECT CASE (NREQ)
CASE(0)
CALL FSOU(WLEN,IDIV,DELTA,REPA,NSAMP0)
CALL FFT(NN,1,NSAMP,REPA,AIMPA,WK1,WK2,NSAMP0)
CASE(1)
CALL RICKER(kstep,nstep,F0,df,REPA,aimpa,NSAMP0, TSHIFT)
CASE(2)
CALL GAUSS(IDIV,REPA,NSAMP0)
CALL FFT(NN,1,NSAMP,REPA,AIMPA,WK1,WK2,NSAMP0)
END SELECT
C----------------------------------------
C-----------------------------------------
WGP=0.0
SHN=0.0
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
c Shape function and weigh for Gaussain quad
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
CALL SHAP(SHN,WGP)
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
CALL ANGLA
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& ANGLA
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE ANGLA
C
INCLUDE 'bemlayer.fin'
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
DO 999 ID=1,ND
DO 888 IC=1,2
N1=MSTA(ID,IC,1)
N2=MSTA(ID,IC,2)
IF(IC.EQ.1)THEN
BLPH(ID,N1,1)=0.0
BLPH(ID,N1,2)=PI
BLPH(ID,N2,1)=0.0
BLPH(ID,N2,2)=PI
ELSE
BLPH(ID,N1,1)=PI
BLPH(ID,N1,2)=2.0*PI
BLPH(ID,N2,1)=PI
BLPH(ID,N2,2)=2.0*PI
ENDIF
DO 100 IQ=N1+1,N2-1
X0=XCOORD(ID,IQ-1,1)
Y0=XCOORD(ID,IQ-1,2)
X1=XCOORD(ID,IQ,1)
Y1=XCOORD(ID,IQ,2)
X2=XCOORD(ID,IQ+1,1)
Y2=XCOORD(ID,IQ+1,2)
ALFA1=ATAN2(Y0-Y1,X0-X1)
ALFA2=ATAN2(Y2-Y1,X2-X1)
IF(ALFA2.lt.ALFA1) ALFA2=ALFA2+2*PI
BLPH(ID,IQ,1)=ALFA1
BLPH(ID,IQ,2)=ALFA2
100 CONTINUE
888 CONTINUE
999 CONTINUE
C-----------------------------------------
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& FREQUENCY TO TIME DOMAIN
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE FRES
C
INCLUDE 'bemlayer.fin'
complex, allocatable :: temp(:,:)
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
MAX=(NSTEP-KSTEP+1)*NFS
IMTY=NFS
LSAMP=NSAMP-1
NENGTH=LENGTH-1
allocate(temp(2*NG,NFS*NSTEP))
C-------------------------------
DO 200 IFS=1,NFS
NCC=(IFS-1)*2*NG
NCUT=0
DO IREC=IFS,MAX,IMTY
NCUT=NCUT+1
READ(10,REC=IREC) (temp(K,NCUT),K=1,2*NG)
END DO
IK=(IFS-1)*NG
DO 400 IGT=1,2*NG,2
IK=IK+1
DO K=0,LSAMP
REPA(K)=0.0
AIMPA(K)=0.0
END DO
ICOUNT=0
DO I=KSTEP,NSTEP
ICOUNT=ICOUNT+1
REPA(I)=REAL(temp(IGT,ICOUNT))
REPA(NSAMP-I)=REPA(I)
AIMPA(I)=AIMAG(temp(IGT,ICOUNT))
AIMPA(NSAMP-I)=-AIMPA(I)
END DO
CALL FFT(NN,-1,1,REPA,AIMPA,WK1,WK2,NSAMP0)
IREC=IK
WRITE(11,REC=IREC) (REPA(K),K=0,NENGTH)
400 CONTINUE
C-------------------------------------------
JK=(IFS-1)*NG
DO 500 IGT=2,2*NG,2
JK=JK+1
DO K=0,LSAMP
REPA(K)=0.0
AIMPA(K)=0.0
END DO
ICOUNT=0
DO I=KSTEP,NSTEP
ICOUNT=ICOUNT+1
REPA(I)=REAL(temp(IGT,ICOUNT))
REPA(NSAMP-I)=REPA(I)
AIMPA(I)=AIMAG(temp(IGT,ICOUNT))
AIMPA(NSAMP-I)=-AIMPA(I)
END DO
CALL FFT(NN,-1,1,REPA,AIMPA,WK1,WK2,NSAMP0)
IREC=JK
WRITE(12,REC=IREC) (REPA(K),K=0,NENGTH)
500 CONTINUE
200 CONTINUE
deallocate(temp)
C-------------------------------------
RETURN
END
c@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
c& INTAL
c@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE INTAL(ISEG,XPT,YPT,ID,W,WP,WS,C1,C3,C4,C7,D)
COMPLEX H(2,4),G(2,4),UL(2,2),PL(2,2)
COMPLEX P0,P1,P2,P3,S0,S1,S2,S3
COMPLEX F1,F2,DF1,DF2,F3,F4,F5,F6
REAL D(2,2),DXY(2),BN(2),DR(2),B(2)
C
INCLUDE 'bemlayer.fin'
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
NBBP=NBDATA(ID,1)
NBBE=NBDATA(ID,2)
DO 10 I=1,2
DO J=1,2*(NBBP+1)
AMT(I,J)=(0.0,0.0)
BMT(I,J)=(0.0,0.0)
ENDDO
10 CONTINUE
DO 900 IS=1,NBBE
ISA=NEL(ID,IS,1)
ISB=NEL(ID,IS,2)
XA=COORD(ID,ISA,1)
YA=COORD(ID,ISA,2)
XB=COORD(ID,ISB,1)
YB=COORD(ID,ISB,2)
DO K=1,2
DO L=1,4
H(K,L)=(0.0,0.0)
G(K,L)=(0.0,0.0)
ENDDO
ENDDO
DXY(1)=XB-XA
DXY(2)=YB-YA
RAB=SQRT(DXY(1)*DXY(1)+DXY(2)*DXY(2))
BN(1)=-DXY(2)/RAB
BN(2)=DXY(1)/RAB
c-----------------------------
JGG=NGP-1
DO 50 IG=1,NGP
XS1=SHN(JGG,IG,1)
XS2=SHN(JGG,IG,2)
XGP=XS1*XA+XS2*XB
YGP=XS1*YA+XS2*YB
XMX=XGP-XPT
YMY=YGP-YPT
R=SQRT(XMX*XMX+YMY*YMY)
B(1)=0.5*XS1*RAB
B(2)=0.5*XS2*RAB
IF(R.LT.0.0001) R=0.0001
DR(1)=XMX/R
DR(2)=YMY/R
DRDN=DR(1)*BN(1)+DR(2)*BN(2)
ZP=WP*R
ZS=WS*R
CALL HANKEX(ZP,P0,P1)
CALL HANKEX(ZS,S0,S1)
P2=2.0*P1/ZP-P0
P3=4.0*P2/ZP-P1
S2=2.0*S1/ZS-S0
S3=4.0*S2/ZS-S1
F1=S0+(C3*P1-S1)/ZS
F2=C4*P2-S2
ZSD=ZS*ZS
DF1=-2.*WP*P1/ZSD-S0/R-WS*S1+2.*S1/(ZS*R)+C4*P0/R
DF2=WP*C4*(P1-P3)/2.-WS*(S1-S3)/2.
DO I=1,2
DO J=1,2
UL(I,J)=C1*(F1*D(I,J)-F2*DR(I)*DR(J))
F3=(DF1-F2/R)*(D(I,J)*DRDN+DR(J)*BN(I))
F4=2.*F2*(DR(I)*BN(J)-2.*DR(I)*DR(J)*DRDN)/R
F5=2.*DF2*DR(I)*DR(J)*DRDN
F6=(C7-2.)*(DF1-DF2-F2/R)*DR(I)*BN(J)
PL(I,J)=-F3-F6+F5+F4
ENDDO
ENDDO
DO LA=1,2
IC=0
DO LL=1,2
DO JJ=1,2
IC=IC+1
G(LA,IC)=G(LA,IC)+UL(LA,JJ)*B(LL)*WGP(JGG,IG)
H(LA,IC)=H(LA,IC)+PL(LA,JJ)*B(LL)*WGP(JGG,IG)
ENDDO
ENDDO
ENDDO
50 CONTINUE
DO 60 IM=1,2
AMT(IM,2*ISA-1)=G(IM,1)+AMT(IM,2*ISA-1)
AMT(IM,2*ISA)=G(IM,2)+AMT(IM,2*ISA)
AMT(IM,2*ISB-1)=G(IM,3)+AMT(IM,2*ISB-1)
AMT(IM,2*ISB)=G(IM,4)+AMT(IM,2*ISB)
BMT(IM,2*ISA-1)=H(IM,1)+BMT(IM,2*ISA-1)
BMT(IM,2*ISA)=H(IM,2)+BMT(IM,2*ISA)
BMT(IM,2*ISB-1)=H(IM,3)+BMT(IM,2*ISB-1)
BMT(IM,2*ISB)=H(IM,4)+BMT(IM,2*ISB)
60 CONTINUE
900 CONTINUE
c-----------------------------------
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& FSOU
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE FSOU(WLEN,IDIV,DT,REPA,NSAMP1)
REAL REPA(0:NSAMP1)
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C A:0~1.6HZ; B:0~2HZ; C:0~2.5HZ; D:0~5HZ
C WLEN=4000MS=4S
C DT=100MS=0.1S
C-----------------------------------
SGM=1.0
DO II=1,IDIV
CC1=DT*II-WLEN
CC=-2.0*CC1*CC1/SGM/SGM
CC2=WLEN/SGM
CC=(EXP(CC)-EXP(-2.0*CC2*CC2))/1.2533/SGM
CC=-4.0/SGM/SGM*CC*CC1
REPA(II-1)=CC
END DO
C------------------------------
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& GAUSS
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE GAUSS(IDIV,REPA,NSAMP1)
REAL REPA(0:NSAMP1)
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C-----------------------------------
C8=4.0
C9=0.1
SGM=1.0
DO II=1,IDIV
CC1=C9*II-C8
CC=-2.0*CC1*CC1/SGM/SGM
CC2=C8/SGM
CC=(EXP(CC)-EXP(-2.0*CC2*CC2))/1.2533/SGM
CC=-4.0*CC*CC1
REPA(II-1)=-CC
END DO
C------------------------------
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C RICKER
Cccccccccccccccccccccccccccccc
subroutine ricker(kstep,nstep,f0,df,repa,aimpa,nsamp1,TSHIFT)
c subroutine to computer ricker wavelet in frequency domain
real repa(0:nsamp1),aimpa(0:nsamp1)
real f0,ts
pi=3.14159265399
!ts=3.0/f0
ts=-TSHIFT
do i=kstep,nstep
f=i*df
temp=-(f/f0)**2.0*exp(-(f/f0)**2.0)
repa(i)=temp*cos(2*pi*f*ts)
aimpa(i)=temp*sin(2*pi*f*ts)
enddo
return
end
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& FFT
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE FFT(NN,INT,NCONS,A1,A2,A3,A4,NSAMP1)
REAL A1(0:NSAMP1),A2(0:NSAMP1)
REAL W1(0:NSAMP1),W2(0:NSAMP1)
REAL A3(0:NSAMP1),A4(0:NSAMP1)
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
N=2**NN
CONS=1.0/FLOAT(NCONS)
YY=FLOAT(INT)/FLOAT(N)
DO 40 I=0,N/2-1
Y=6.2832*I*YY
Z1=COS(Y)
Z2=SIN(Y)
W1(I)=Z1
W2(I)=Z2
40 CONTINUE
N2=2**(NN-1)
DO 50 I=1,NN
LK=2**(NN-I)-1
LJ=2**(I-1)-1
N1=2**(I-1)
N3=2**I
MX=(I/2)*2-I
IF(MX.NE.0) THEN
DO K=0,LK
N4=N1*K
N5=N3*K
DO J=0,LJ
I1=N5+J
I2=N4+J
I3=I2+N2
I4=I1+N1
I5=N4
A3(I1)=A1(I2)+A1(I3)
A4(I1)=A2(I2)+A2(I3)
X1=A1(I2)-A1(I3)
X2=A2(I2)-A2(I3)
A3(I4)=X1*W1(I5)-X2*W2(I5)
A4(I4)=X1*W2(I5)+X2*W1(I5)
ENDDO
ENDDO
ELSE
DO K=0,LK
N4=N1*K
N5=N3*K
DO J=0,LJ
I1=N5+J
I2=N4+J
I3=I2+N2
I4=I1+N1
I5=N4
A1(I1)=A3(I2)+A3(I3)
A2(I1)=A4(I2)+A4(I3)
X1=A3(I2)-A3(I3)
X2=A4(I2)-A4(I3)
A1(I4)=X1*W1(I5)-X2*W2(I5)
A2(I4)=X1*W2(I5)+X2*W1(I5)
ENDDO
ENDDO
ENDIF
50 CONTINUE
MX=(NN/2)*2-NN
IF(MX.NE.0) THEN
DO I=0,N-1
A1(I)=A3(I)
A2(I)=A4(I)
ENDDO
ELSE
ENDIF
DO I=0,N-1
A1(I)=A1(I)*CONS
A2(I)=A2(I)*CONS
ENDDO
C----------------------------
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& SHAP
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE SHAP(SHN,WGP)
REAL SGP(7,8),WEG(7,8),SHN(7,8,2),WGP(7,8)
C
C-----------FOR LINEAR ELEMENT-------------------------
C------------------------------------------------------------
DATA(SGP(1,I),I=1,2)/-0.57735027,0.57735027/
DATA(WEG(1,I),I=1,2)/1.000000,1.000000/
DATA(SGP(2,I),I=1,3)/-0.774597,0.000000,0.774597/
DATA(WEG(2,I),I=1,3)/0.555556,0.888889,0.555556/
DATA(SGP(3,I),I=1,4)/-0.861136,-0.339981,0.339981,0.861136/
DATA(WEG(3,I),I=1,4)/0.347855,0.652145,0.652145,0.347855/
DATA(SGP(4,I),I=1,5)/-0.906179,-0.538469,0.0,0.538469,0.906179/
DATA(WEG(4,I),I=1,5)/0.236927,0.478629,0.568889,0.478629,
& 0.236927/
DATA(SGP(5,I),I=1,6)/-0.932470,-0.661210,-0.238619,0.238619,
& 0.661210,0.932470/
DATA (WEG(5,I),I=1,6)/0.171324,0.360761,0.467914,0.467914,
& 0.360761,0.171324/
DATA(SGP(6,I),I=1,7)/-0.949110,-0.741531,-0.405845,0.000000,
& 0.405845,0.741531,0.949110/
DATA(WEG(6,I),I=1,7)/0.129485,0.279710,0.381830,0.417960,0.381830,
& 0.279710,0.129485/
DATA(SGP(7,I),I=1,8)/-0.960290,-0.796670,-0.525530,-0.183435,
& 0.183435,0.525530,0.796670,0.960290/
DATA(WEG(7,I),I=1,8)/0.101220,0.222380,0.313710,0.362680,0.362680,
& 0.3213710,0.222380,0.101220/
DO I=1,7
DO J=1,I+1
WGP(I,J)=WEG(I,J)
ENDDO
ENDDO
DO I=1,7
NT=I+1
DO J=1,NT
XSS=SGP(I,J)
SHN(I,J,1)=0.5*(1.0-XSS)
SHN(I,J,2)=0.5*(1.0+XSS)
ENDDO
ENDDO
CCCCCCCCCCCCCCCCCCCCCCCCCC
RETURN
END
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
C& HANKEX
C@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
SUBROUTINE HANKEX(Z,H0,H1)
COMPLEX H0,H1
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
FR=ALOG(Z/2.0)
IF(Z.LE.3.0)THEN
T=(Z/3.0)**2
BJ0=(((((0.00021*T-0.003944)*T+0.0444479)*T-
& 0.3163866)*T+1.2656208)*T-2.2499997)*T+1.0
YJ0=(((((-0.00024846*T+0.00427916)*T-0.04261214)*T+0.25300117)*
& T-0.74350384)*T+0.60559366)*T+0.36746691+0.6366197*FR*BJ0
H0=CMPLX(BJ0,YJ0)
BJ1=((((((0.1109E-4*T-0.31761E-3)*T+4.43319E-3)*
& T-0.03954289)*T+0.21093573)*T-0.56249985)*T+0.5)*Z
YJ1=((((((0.0027873*T-0.0400976)*T+0.3123951)*T-1.3164827)*T+
& 2.1682709)*T+0.2212091)*T-0.6366198+0.6366197*Z*FR*BJ1)/Z
H1=CMPLX(BJ1,YJ1)
ELSE
T=3.0/Z
F0=(((((0.00014476*T-0.00072805)*T+0.00137237)*T-0.9512E-4)*T-
& 0.55274E-2)*T-0.77E-6)*T+0.79788456
FA0=(((((-0.13558E-3*T+0.29333E-3)*T+0.54125E-3)*T-0.00262573)*
& T+0.3954E-4)*T+0.04166397)*T+0.78539816
BJ0=F0*COS(Z-FA0)/SQRT(Z)
YJ0=F0*SIN(Z-FA0)/SQRT(Z)
H0=CMPLX(BJ0,YJ0)
F1=(((((-2.0033E-4*T+1.13653E-3)*T-2.49511E-3)*T+1.7105E-4)*T+
& 0.01659667)*T+1.56E-6)*T+0.79788456
FA1=(((((2.9166E-4*T-7.9824E-4)*T-7.4348E-4)*T+6.37879E-3)*T-
& 5.65E-5)*T-0.12499612)*T+2.35619449
BJ1=F1*COS(Z-FA1)/SQRT(Z)
YJ1=F1*SIN(Z-FA1)/SQRT(Z)
H1=CMPLX(BJ1,YJ1)
ENDIF
C--------------------------------------
RETURN
END