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henyey.F
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296 lines (296 loc) · 7.47 KB
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SUBROUTINE HENYEY(MODE)
include 'parm.h'
include 'var.h'
logical LCONV
DIMENSION D(MH,MH+1),CA(MH),DX(MH)
EQUIVALENCE (HA(1,MH+1),D(1,1)) , (D(1,MH+1),CA(1))
save
C
if(abs(ITMIN).gt.10 .or. mode.eq.999) then
cf=1./max(10,ITMIN)
cfmax=.6
cfexp=1.2
if(ITMIN.gt.10) cfexp=1.1
else
c cf=.1
cf=1.
cfmax=1.0
cfexp=1.25
endif
ID=N
MODE=0
IRIT=0
JTMAX=abs(ITMAX)
IF(ITMIN.GT.0 .and. ITMAX.gt.0) IRIT=JTMAX/2
ITER=0
300 CONTINUE
if(iter.eq.ITMAX/2) cf=.1
cf=min(cfmax,cf*cfexp)
ITER=ITER+1
IF(ITER.GT.JTMAX) GOTO 998
J2=1
J3=2
CALL GI(J2)
IF(ITMIN.EQ.-ITER) then
call gid(j2)
WRITE(6,101) 'J2=',J2,' Henyey matrices'
WRITE(6,888) 'G:',(G(I),I=1,NG)
do j=1,ng
WRITE(6,888) 'C:',(HC(I,J),I=1,NG)
enddo
do j=1,ng
WRITE(6,888) 'D:',(HD(I,J),I=1,NG)
enddo
do j=1,ng
WRITE(6,888) 'E:',(HE(I,J),I=1,NG)
enddo
endif
do I=1,MH
do J=1,MH
HA(I,J)=HD(I,J)
D(I,J)=-HE(I,J)
enddo
D(I,MH+1)=-G(I)
DG(I)=0.
JG(I)=0
enddo
CALL GIRL (HA,MH,MH+1)
IW=1
do I=1,MH
do J=1,MH+1
HX(I,J)=D(I,J)
HW(I,J,IW)=D(I,J)
enddo
enddo
302 CONTINUE
J1=J2
J2=J3
J3=J3+1
CALL GI(J2)
IF(ITMIN.EQ.-ITER) then
call gid(j2)
WRITE(6,101) 'J2=',J2,' Henyey matrices'
WRITE(6,888) 'G:',(G(I),I=1,NG)
do j=1,ng
WRITE(6,888) 'C:',(HC(I,J),I=1,NG)
enddo
do j=1,ng
WRITE(6,888) 'D:',(HD(I,J),I=1,NG)
enddo
do j=1,ng
WRITE(6,888) 'E:',(HE(I,J),I=1,NG)
enddo
endif
do I=1,MH
do J=1,MH
FAC=HC(I,1)*HX(1,J)
do K=2,MH
FAC=FAC+HC(I,K)*HX(K,J)
enddo
HA(I,J)=HD(I,J)+FAC
D(I,J)=-HE(I,J)
enddo
FAC=HC(I,1)*HX(1,MH+1)
do K=2,MH
FAC=FAC+HC(I,K)*HX(K,MH+1)
enddo
D(I,MH+1)=-G(I)-FAC
if(ABS(DG(I)).lt.ABS(G(I))) then
DG(I)=G(I)
JG(I)=J2
endif
enddo
CALL GIRL (HA,MH,MH+1)
IW=IW+1
do J=1,MH+1
do I=1,MH
HX(I,J)=D(I,J)
HW(I,J,IW)=D(I,J)
enddo
enddo
IF(J2.GE.N-1) GOTO 303
IF(IW.LT.ID) GOTO 302
IW=0
GOTO 302
303 IF(ITER.GT.IRIT .and. mod(MODEL,JRIT).eq.0)
* WRITE(6,101) 'ITER:',ITER,' LARGEST GI:',(JG(I),DG(I),I=1,MH)
J1=J2
J2=J3
J3=J2+1
CALL GI(J2)
IF(ITMIN.EQ.-ITER) then
call gid(j2)
WRITE(6,101) 'J2=',J2,' Henyey matrices'
WRITE(6,888) 'G:',(G(I),I=1,NG)
do j=1,ng
WRITE(6,888) 'C:',(HC(I,J),I=1,NG)
enddo
do j=1,ng
WRITE(6,888) 'D:',(HD(I,J),I=1,NG)
enddo
do j=1,ng
WRITE(6,888) 'E:',(HE(I,J),I=1,NG)
enddo
endif
do I=1,MH
do J=1,MH
FAC=HC(I,1)*HX(1,J)
do K=2,MH
FAC=FAC+HC(I,K)*HX(K,J)
enddo
D(I,J)=HD(I,J)+FAC
enddo
FAC=HC(I,1)*HX(1,MH+1)
do K=2,MH
FAC=FAC+HC(I,K)*HX(K,MH+1)
enddo
CA(I)=-G(I)-FAC
G(I)=DG(I)
DG(I)=0.
JG(I)=0
enddo
CALL GIRL (D,MH,1)
304 CONTINUE
do I=1,MH
E(I)=CA(I)
AFAC=E(I)*cf
IF(SMAX(I).gt.0.) then
cm39 = ABS(AFAC/X(j2,I))
if (cm39 .gt. SMAX(I)) then
AFAC = AFAC/ABS(AFAC) * SMAX(I)*X(J2,I)
end if
X(J2,I)=X(J2,I)+AFAC
DX(I)=2.*AFAC/(X(J2,I)+VX(J2,I)+SMIN(I))
IF(X(J2,I).lt.SMIN(I)) goto 997
else
AFAC=MIN(AFAC,-SMAX(I))
AFAC=MAX(AFAC, SMAX(I))
X(J2,I)=X(J2,I)+AFAC
DX(I)=2.*AFAC/(ABS(X(J2,I))+ABS(VX(J2,I))+SMIN(I))
endif
IF(ABS(DG(I)).lt.ABS(DX(I))) then
DG(I)=DX(I)
JG(I)=J2
endif
enddo
IF(ITMIN.LT.0) then
WRITE(6,101) 'J2=',J2,' CORRECTIONS:',(I,E(I),I=1,MH)
ENDIF
IF(J2.EQ.1) GOTO 305
do I=1,MH
CA(I)=HW(I,MH+1,IW)
do J=1,MH
CA(I)=CA(I)+HW(I,J,IW)*E(J)
enddo
enddo
J2=J1
J1=J1-1
IW=IW-1
IF(IW.GT.0 .OR. J2.EQ.1) GOTO 304
IW=ID
GOTO 304
305 CONTINUE
IF(ITER.GT.IRIT .and. mod(MODEL,JRIT).eq.0) then
WRITE(6,101) 'ITERATION',ITER,' CORRECTIONS:',
* (JG(I),DG(I),I=1,MH)
WRITE(6,101) 'ITERATION',ITER,' NEW VALUES:',
* (JG(I),X(J2,i),i=1,MH)
ENDIF
LCONV=.FALSE.
do I=1,MH
LCONV=LCONV .or. ABS(DG(I)) .gt. EPS(I)
enddo
IF(ITER.LT.ITMIN .OR. LCONV .OR. abs(cf-cfmax).gt.0.01d0) GOTO 300
do I=1,MH
DG(I)=0.
JG(I)=0
enddo
do J=2,N
do I=1,MH
E(I)=2.*(X(J,I)-VX(J,I))/(ABS(X(J,I))+ABS(VX(J,I))+SMIN(I))
if(ABS(DG(I)).lt.ABS(E(I))) then
DG(I)=E(I)
JG(I)=J
endif
enddo
enddo
if(mod(MODEL,JRIT).eq.0) then
WRITE(6,101) 'MODEL ',MODEL,' CHANGES:',(JG(I),DG(I),I=1,MH)
WRITE(6,101) 'ITER=',ITER,' GI:',(I,G(I),I=1,MH)
endif
GOTO 999
997 MODE=I
WRITE(6,103) J2,I,X(J2,I)
GOTO 999
998 MODE=999
WRITE(6,101) '--- CONVERGENCE NOT POSSIBLE: ',MODEL,' ',
* (JG(I),DG(I),I=1,MH),ITER
999 CONTINUE
CHANGE=0.
DO I=1,MH
CHANGE=CHANGE+ABS(DG(I))
ENDDO
RETURN
101 FORMAT(1X,A,i5,A,1P,7(I5,E10.2),/,7x,8(I5,E10.2))
103 FORMAT(/6X,'VARIABLE BELOW LIMIT: X(',I4,',',I1,') = ',
1 1P,E12.5)
888 FORMAT(8x,a,1P,1x,10E10.2,10(/1X,10E10.2))
END
SUBROUTINE GIRL(A,N,M)
include 'parm.h'
DIMENSION A(1)
SAVE
NPM = N+M
DO J = 1,N
NJ = (J-1)*N
JJ = NJ + J
J1 = J + 1
AMAX =ABS (A(JJ))
JM = J
IF( J1 .le. N ) THEN
DO I = J1,N
IJ = NJ + I
IF(ABS (A(IJ)) .gt. AMAX ) THEN
AMAX =ABS (A(IJ))
JM = I
ENDIF
ENDDO
IF( JM .ne. J ) THEN
I1 = JM + NJ
I2 = JJ
DO I = J,NPM
ZWI = A(I1)
A(I1) = A(I2)
A(I2) = ZWI
I1 = I1 + N
I2 = I2 + N
ENDDO
ENDIF
ENDIF
IF( A(JJ) .eq. 0.) GOTO 40
DO I = 1,N
IF( I .ne. J ) THEN
IJ = NJ + I
IK = NJ + I
JK = JJ
FAKTOR = - A(IJ)/A(JJ)
DO K = J1,NPM
JK = JK + N
IK = IK + N
A(IK) = A(IK) + FAKTOR * A(JK)
ENDDO
ENDIF
ENDDO
JK = JJ
FAKTOR = 1./A(JJ)
DO K = J1,NPM
JK = JK + N
A(JK) = A(JK) * FAKTOR
ENDDO
ENDDO
RETURN
40 CONTINUE
WRITE(6,100)
100 FORMAT(' ERROR EXIT IN SUBROUTINE GIRL')
STOP 'girl'
END