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Location: MD/arcos/fish90/src/poisson.f90
d6faa5ffcedf
21.2 KiB
text/x-fortran
install arcos
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IERROR,W,IW)
implicit none
DOUBLE PRECISION, PARAMETER :: ZERO = 0.0D0, HALF = 0.5D0, &
ONE = 1.0D0, TWO = 2.0D0, &
FOUR = 4.0D0
!-----------------------------------------------
! D u m m y A r g u m e n t s
!-----------------------------------------------
INTEGER, INTENT(IN) :: NPEROD, N, MPEROD, M, IDIMY,IW
INTEGER, INTENT(OUT) :: IERROR
DOUBLE PRECISION, DIMENSION(M), INTENT(IN) :: vecA,vecB,vecC
DOUBLE PRECISION, DIMENSION(IDIMY,N),INTENT(INOUT) :: matY
DOUBLE PRECISION, DIMENSION(IW) :: W
!-----------------------------------------------
! L o c a l V a r i a b l e s
!-----------------------------------------------
INTEGER :: IWBA, IWBB, IWBC, IWB2, IWB3, IWW1, IWW2, IWW3, &
IWD,IWTCOS, IWP, I, K, J, NP, MP, IPSTOR, &
IREV, MH, MHM1, MODD, NBY2, MSKIP
DOUBLE PRECISION :: A1
!-----------------------------------------------
IERROR = 0
IWBA = M + 1
IWBB = IWBA + M
IWBC = IWBB + M
IWB2 = IWBC + M
IWB3 = IWB2 + M
IWW1 = IWB3 + M
IWW2 = IWW1 + M
IWW3 = IWW2 + M
IWD = IWW3 + M
IWTCOS = IWD + M
IWP = IWTCOS + 4*N
DO I = 1, M
K = IWBA + I - 1
! write(*,*) '0: i,k:',i,k
! write(*,*) '0: vecA(I):',vecA(I)
W(K) = -vecA(I)
! write(*,*) 'A: i,k,w(k):',i,k,w(k)
K = IWBC + I - 1
W(K) = -vecC(I)
! write(*,*) 'B: i,k,w(k):',i,k,w(k)
K = IWBB + I - 1
W(K) = TWO - vecB(I)
! write(*,*) 'C: i,k,w(k):',i,k,w(k)
matY(I,:N) = -matY(I,:N)
! write(*,*) 'D: Y(i,:N):',Y(I,:N)
END DO
NP = NPEROD
MP = MPEROD + 1
GO TO (110,107) MP
107 CONTINUE
GO TO (108,108,108,119) NPEROD
108 CONTINUE
CALL POSTG2 (NP, N, M, W(IWBA:IWBA+M-1), W(IWBB:IWBB+M-1), &
W(IWBC:IWBC+M-1), IDIMY, matY, W(1:M), W(IWB2:IWB2+M-1), &
W(IWB3:IWB3+M-1), W(IWW1:IWW1+M-1), W(IWW2:IWW2+M-1), &
W(IWW3:IWW3+M-1), W(IWD:IWD+M-1), W(IWTCOS:IWTCOS+4*N-1), &
W(IWP:),IW-IWP)
IPSTOR = W(IWW1)
IREV = 2
IF (NPEROD == 4) GO TO 120
109 CONTINUE
GO TO (123,129) MP
110 CONTINUE
MH = (M + 1)/2
MHM1 = MH - 1
MODD = 1
IF (MH*2 == M) MODD = 2
DO J = 1, N
DO I = 1, MHM1
W(I) = matY(MH-I,J) - matY(I+MH,J)
W(I+MH) = matY(MH-I,J) + matY(I+MH,J)
END DO
W(MH) = TWO*matY(MH,J)
GO TO (113,112) MODD
112 CONTINUE
W(M) = TWO*matY(M,J)
113 CONTINUE
matY(:M,J) = W(:M)
END DO
K = IWBC + MHM1 - 1
I = IWBA + MHM1
W(K) = 0.
W(I) = 0.
W(K+1) = TWO*W(K+1)
SELECT CASE (MODD)
CASE DEFAULT
K = IWBB + MHM1 - 1
W(K) = W(K) - W(I-1)
W(IWBC-1) = W(IWBC-1) + W(IWBB-1)
CASE (2)
W(IWBB-1) = W(K+1)
END SELECT
GO TO 107
119 CONTINUE
IREV = 1
NBY2 = N/2
NP = 2
120 CONTINUE
DO J = 1, NBY2
MSKIP = N + 1 - J
DO I = 1, M
A1 = matY(I,J)
matY(I,J) = matY(I,MSKIP)
matY(I,MSKIP) = A1
END DO
END DO
GO TO (108,109) IREV
123 CONTINUE
DO J = 1, N
W(MH-1:MH-MHM1:(-1)) = HALF*(matY(MH+1:MHM1+MH,J)+matY(:MHM1,J))
W(MH+1:MHM1+MH) = HALF*(matY(MH+1:MHM1+MH,J)-matY(:MHM1,J))
W(MH) = HALF*matY(MH,J)
GO TO (126,125) MODD
125 CONTINUE
W(M) = HALF*matY(M,J)
126 CONTINUE
matY(:M,J) = W(:M)
END DO
129 CONTINUE
W(1) = IPSTOR + IWP - 1
!
END SUBROUTINE POISTGG
SUBROUTINE POSTG2(NPEROD, N, M, vecA, vecBB, vecC, IDIMQ, matQ, &
vecB, vecB2, vecB3, vecW,vecW2, vecW3, vecD, &
TCOS, vecP,IvecP)
implicit none
DOUBLE PRECISION, PARAMETER :: ZERO = 0.0D0, HALF = 0.5D0, &
ONE = 1.0D0, TWO = 2.0D0, &
FOUR = 4.0D0
!-----------------------------------------------
! D u m m y A r g u m e n t s
!-----------------------------------------------
INTEGER , INTENT(IN) :: NPEROD,N,M,IDIMQ,IvecP
DOUBLE PRECISION, DIMENSION(M),INTENT(IN) :: vecA,vecBB,vecC
DOUBLE PRECISION, DIMENSION(M),INTENT(OUT) :: vecB
DOUBLE PRECISION, DIMENSION(IDIMQ,N),INTENT(INOUT) :: matQ
DOUBLE PRECISION, DIMENSION(M),INTENT(INOUT) :: vecB2,vecB3,vecD, &
vecW2,vecW3, vecW
DOUBLE PRECISION, DIMENSION(IvecP),INTENT(INOUT) :: vecP
DOUBLE PRECISION, DIMENSION(4*N),INTENT(INOUT) :: TCOS
!-----------------------------------------------
! L o c a l V a r i a b l e s
!-----------------------------------------------
INTEGER, DIMENSION(4) :: K
INTEGER :: K1, K2, K3, K4, NP, MR, IP, IPSTOR, I2R, JR, NR, NLAST, &
KR, LR, NROD, JSTART, JSTOP, I2RBY2, &
J, IJUMP, JP1, JP2, JP3, JM1, JM2, JM3, I, NRODPR, II, &
NLASTP, JSTEP
DOUBLE PRECISION :: FNUM, FNUM2, FI, T
!-----------------------------------------------
!
! SUBROUTINE TO SOLVE POISSON'S EQUATION ON A STAGGERED GRID.
!
EQUIVALENCE (K(1), K1), (K(2), K2), (K(3), K3), (K(4), K4)
NP = NPEROD
FNUM = HALF*DBLE(NP/3)
FNUM2 = HALF*DBLE(NP/2)
MR = M
IP = -MR
IPSTOR = 0
I2R = 1
JR = 2
NR = N
NLAST = N
KR = 1
LR = 0
IF (NR > 3) THEN
101 CONTINUE
JR = 2*I2R
NROD = 1
IF ((NR/2)*2 == NR) NROD = 0
JSTART = 1
JSTOP = NLAST - JR
IF (NROD == 0) JSTOP = JSTOP - I2R
I2RBY2 = I2R/2
IF (JSTOP < JSTART) THEN
J = JR
ELSE
IJUMP = 1
DO J = JSTART, JSTOP, JR
JP1 = J + I2RBY2
JP2 = J + I2R
JP3 = JP2 + I2RBY2
JM1 = J - I2RBY2
JM2 = J - I2R
JM3 = JM2 - I2RBY2
IF (J == 1) THEN
CALL COSGEN (I2R, 1, FNUM, HALF, TCOS, size(TCOS) )
IF (I2R == 1) THEN
vecB(:MR) = matQ(:MR,1)
matQ(:MR,1) = matQ(:MR,2)
GO TO 112
ENDIF
vecB(:MR) = matQ(:MR,1) + &
HALF*(matQ(:MR,JP2)-matQ(:MR,JP1)-matQ(:MR,JP3))
matQ(:MR,1) = matQ(:MR,JP2) + matQ(:MR,1) - matQ(:MR,JP1)
GO TO 112
ENDIF
GO TO (107,108) IJUMP
107 CONTINUE
IJUMP = 2
CALL COSGEN (I2R, 1, HALF, ZERO, TCOS, size(TCOS) )
108 CONTINUE
IF (I2R == 1) THEN
vecB(:MR) = TWO*matQ(:MR,J)
matQ(:MR,J) = matQ(:MR,JM2) + matQ(:MR,JP2)
ELSE
DO I = 1, MR
FI = matQ(I,J)
matQ(I,J)=matQ(I,J)-matQ(I,JM1)-matQ(I,JP1)+ &
matQ(I,JM2)+matQ(I,JP2)
vecB(I) =FI + matQ(I,J) - matQ(I,JM3) - matQ(I,JP3)
END DO
ENDIF
112 CONTINUE
CALL TRIX (I2R, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,J) = matQ(:MR,J) + vecB(:MR)
!
! END OF REDUCTION FOR REGULAR UNKNOWNS.
!
END DO
!
! BEGIN SPECIAL REDUCTION FOR LAST UNKNOWN.
!
J = JSTOP + JR
ENDIF
NLAST = J
JM1 = J - I2RBY2
JM2 = J - I2R
JM3 = JM2 - I2RBY2
IF (NROD /= 0) THEN
!
! ODD NUMBER OF UNKNOWNS
!
IF (I2R == 1) THEN
vecB(:MR) = matQ(:MR,J)
matQ(:MR,J) = matQ(:MR,JM2)
ELSE
vecB(:MR)=matQ(:MR,J)+ &
HALF*(matQ(:MR,JM2)-matQ(:MR,JM1)-matQ(:MR,JM3))
IF (NRODPR == 0) THEN
matQ(:MR,J) = matQ(:MR,JM2) + vecP(IP+1:MR+IP)
IP = IP - MR
ELSE
matQ(:MR,J) = matQ(:MR,J) - matQ(:MR,JM1) + matQ(:MR,JM2)
ENDIF
IF (LR /= 0) CALL COSGEN (LR, 1, FNUM2, HALF, TCOS(KR+1), &
size(tcos)-KR)
ENDIF
CALL COSGEN (KR, 1, FNUM2, HALF, TCOS, size(tcos))
CALL TRIX (KR, LR, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,J) = matQ(:MR,J) + vecB(:MR)
KR = KR + I2R
ELSE
JP1 = J + I2RBY2
JP2 = J + I2R
IF (I2R == 1) THEN
vecB(:MR) = matQ(:MR,J)
TCOS(1) = 0.
CALL TRIX (1, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
IP = 0
IPSTOR = MR
vecP(:MR) = vecB(:MR)
vecB(:MR) = vecB(:MR) + matQ(:MR,N)
TCOS(1) = -ONE + TWO*DBLE(NP/2)
TCOS(2) = 0.
CALL TRIX (1, 1, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,J) = matQ(:MR,JM2) + vecP(:MR) + vecB(:MR)
ELSE
vecB(:MR)=matQ(:MR,J)+ &
HALF*(matQ(:MR,JM2)-matQ(:MR,JM1)-matQ(:MR,JM3))
IF (NRODPR == 0) THEN
vecB(:MR) = vecB(:MR) + vecP(IP+1:MR+IP)
ELSE
vecB(:MR) = vecB(:MR) + matQ(:MR,JP2) - matQ(:MR,JP1)
ENDIF
CALL COSGEN (I2R, 1, HALF, ZERO, TCOS, size(tcos))
CALL TRIX (I2R, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
IP = IP + MR
IPSTOR = MAX0(IPSTOR,IP + MR)
vecP(IP+1:MR+IP) = vecB(:MR) + &
HALF*(matQ(:MR,J)-matQ(:MR,JM1)-matQ(:MR,JP1))
vecB(:MR) = vecP(IP+1:MR+IP) + matQ(:MR,JP2)
IF (LR /= 0) THEN
CALL COSGEN (LR, 1, FNUM2, HALF, TCOS(I2R+1), size(tcos)-I2R)
CALL MERGE (TCOS, 0, I2R, I2R, LR, KR, size(TCOS))
ELSE
DO I = 1, I2R
II = KR + I
TCOS(II) = TCOS(I)
END DO
ENDIF
CALL COSGEN (KR, 1, FNUM2, HALF, TCOS, size(TCOS))
CALL TRIX (KR, KR, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,J) = matQ(:MR,JM2) + vecP(IP+1:MR+IP) + vecB(:MR)
ENDIF
LR = KR
KR = KR + JR
ENDIF
NR = (NLAST - 1)/JR + 1
IF (NR <= 3) GO TO 142
I2R = JR
NRODPR = NROD
GO TO 101
ENDIF ! IF (NR > 3)
142 CONTINUE
J = 1 + JR
JM1 = J - I2R
JP1 = J + I2R
JM2 = NLAST - I2R
IF (NR /= 2) THEN
IF (LR == 0) THEN
IF (N == 3) THEN
!
! CASE N = 3.
!
GO TO (143,148,143) NP
143 CONTINUE
vecB(:MR) = matQ(:MR,2)
vecB2(:MR) = matQ(:MR,1) + matQ(:MR,3)
vecB3(:MR) = 0.
SELECT CASE (NP)
CASE DEFAULT
TCOS(1) = -ONE
TCOS(2) = ONE
K1 = 1
CASE (1:2)
TCOS(1) = -TWO
TCOS(2) = ONE
TCOS(3) = -ONE
K1 = 2
END SELECT
K2 = 1
K3 = 0
K4 = 0
GO TO 150
148 CONTINUE
vecB(:MR) = matQ(:MR,2)
vecB2(:MR) = matQ(:MR,3)
vecB3(:MR) = matQ(:MR,1)
CALL COSGEN (3, 1, HALF, ZERO, TCOS, size(TCOS))
TCOS(4) = -ONE
TCOS(5) = ONE
TCOS(6) = -ONE
TCOS(7) = ONE
K1 = 3
K2 = 2
K3 = 1
K4 = 1
150 CONTINUE
CALL TRI3(MR,vecA,vecBB,vecC,K,vecB,vecB2,vecB3,TCOS, &
size(TCOS),vecD,vecW,vecW2,vecW3)
vecB(:MR) = vecB(:MR) + vecB2(:MR) + vecB3(:MR)
GO TO (153,153,152) NP
152 CONTINUE
TCOS(1) = TWO
CALL TRIX (1, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
153 CONTINUE
matQ(:MR,2) = vecB(:MR)
vecB(:MR) = matQ(:MR,1) + vecB(:MR)
TCOS(1) = -ONE + FOUR*FNUM
CALL TRIX (1, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,1) = vecB(:MR)
JR = 1
I2R = 0
GO TO 188
ENDIF
!
! CASE N = 2**P+1
!
vecB(:MR)=matQ(:MR,J)+matQ(:MR,1)-matQ(:MR,JM1)+ &
matQ(:MR,NLAST)-matQ(:MR,JM2)
GO TO (158,160,158) NP
158 CONTINUE
vecB2(:MR) = matQ(:MR,1) + matQ(:MR,NLAST) + &
matQ(:MR,J) - matQ(:MR,JM1) -matQ(:MR,JP1)
vecB3(:MR) = 0.
K1 = NLAST - 1
K2 = NLAST + JR - 1
CALL COSGEN (JR - 1, 1, ZERO, ONE, TCOS(NLAST), size(TCOS)-NLAST+1)
TCOS(K2) = TWO*DBLE(NP - 2)
CALL COSGEN (JR, 1, HALF - FNUM, HALF, TCOS(K2+1),size(TCOS)-K2)
K3 = (3 - NP)/2
CALL MERGE (TCOS, K1, JR - K3, K2 - K3, JR + K3, 0, size(TCOS))
K1 = K1 - 1 + K3
CALL COSGEN (JR, 1, FNUM, HALF, TCOS(K1+1),size(TCOS)-K1)
K2 = JR
K3 = 0
K4 = 0
GO TO 162
160 CONTINUE
DO I = 1, MR
FI = HALF*(matQ(I,J)-matQ(I,JM1)-matQ(I,JP1))
vecB2(I) = matQ(I,1) + FI
vecB3(I) = matQ(I,NLAST) + FI
END DO
K1 = NLAST + JR - 1
K2 = K1 + JR - 1
CALL COSGEN (JR - 1, 1, ZERO, ONE, TCOS(K1+1), size(TCOS)-K1)
CALL COSGEN (NLAST, 1, HALF, ZERO, TCOS(K2+1), size(TCOS)-K2)
CALL MERGE (TCOS, K1, JR - 1, K2, NLAST, 0, size(TCOS))
K3 = K1 + NLAST - 1
K4 = K3 + JR
CALL COSGEN (JR, 1, HALF, HALF, TCOS(K3+1),SIZE(TCOS)-K3)
CALL COSGEN (JR, 1, ZERO, HALF, TCOS(K4+1),SIZE(TCOS)-K4)
CALL MERGE (TCOS, K3, JR, K4, JR, K1, size(TCOS) )
K2 = NLAST - 1
K3 = JR
K4 = JR
162 CONTINUE
CALL TRI3 (MR, vecA, vecBB, vecC, K, vecB, vecB2, vecB3, &
TCOS, size(TCOS), vecD, vecW, vecW2, vecW3)
vecB(:MR) = vecB(:MR) + vecB2(:MR) + vecB3(:MR)
IF (NP == 3) THEN
TCOS(1) = TWO
CALL TRIX (1, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
ENDIF
matQ(:MR,J) = vecB(:MR) + &
HALF*(matQ(:MR,J)-matQ(:MR,JM1)-matQ(:MR,JP1))
vecB(:MR) = matQ(:MR,J) + matQ(:MR,1)
CALL COSGEN (JR, 1, FNUM, HALF, TCOS,size(TCOS))
CALL TRIX (JR, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,1) = matQ(:MR,1) - matQ(:MR,JM1) + vecB(:MR)
GO TO 188
ENDIF
!
! CASE OF GENERAL N WITH NR = 3 .
!
vecB(:MR) = matQ(:MR,1) - matQ(:MR,JM1) + matQ(:MR,J)
IF (NROD == 0) THEN
vecB(:MR) = vecB(:MR) + vecP(IP+1:MR+IP)
ELSE
vecB(:MR) = vecB(:MR) + matQ(:MR,NLAST) - matQ(:MR,JM2)
ENDIF
DO I = 1, MR
T = HALF*(matQ(I,J)-matQ(I,JM1)-matQ(I,JP1))
matQ(I,J) = T
vecB2(I) = matQ(I,NLAST) + T
vecB3(I) = matQ(I,1) + T
END DO
K1 = KR + 2*JR
CALL COSGEN (JR - 1, 1, ZERO, ONE, TCOS(K1+1),size(TCOS)-K1)
K2 = K1 + JR
TCOS(K2) = TWO*DBLE(NP - 2)
K4 = (NP - 1)*(3 - NP)
K3 = K2 + 1 - K4
CALL COSGEN(KR+JR+K4,1,HALF*DBLE(K4),ONE-DBLE(K4),TCOS(K3), &
size(TCOS)-K3+1 )
K4 = 1 - NP/3
CALL MERGE (TCOS, K1, JR - K4, K2 - K4, KR + JR + K4, 0, size(TCOS) )
IF (NP == 3) K1 = K1 - 1
K2 = KR + JR
K4 = K1 + K2
CALL COSGEN (KR, 1, FNUM2, HALF, TCOS(K4+1),size(TCOS)-K4)
K3 = K4 + KR
CALL COSGEN (JR, 1, FNUM, HALF, TCOS(K3+1),size(TCOS)-K3)
CALL MERGE (TCOS, K4, KR, K3, JR, K1, size(TCOS) )
K4 = K3 + JR
CALL COSGEN (LR, 1, FNUM2, HALF, TCOS(K4+1),size(TCOS)-K4)
CALL MERGE (TCOS, K3, JR, K4, LR, K1 + K2, size(TCOS) )
CALL COSGEN (KR, 1, FNUM2, HALF, TCOS(K3+1),size(TCOS)-K3)
K3 = KR
K4 = KR
CALL TRI3 (MR, vecA, vecBB, vecC, K, vecB, vecB2, vecB3, &
TCOS, SIZE(TCOS), vecD, vecW, vecW2, vecW3)
vecB(:MR) = vecB(:MR) + vecB2(:MR) + vecB3(:MR)
IF (NP == 3) THEN
TCOS(1) = TWO
CALL TRIX (1, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
ENDIF
matQ(:MR,J) = matQ(:MR,J) + vecB(:MR)
vecB(:MR) = matQ(:MR,1) + matQ(:MR,J)
CALL COSGEN (JR, 1, FNUM, HALF, TCOS,size(TCOS))
CALL TRIX (JR, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
IF (JR == 1) THEN
matQ(:MR,1) = vecB(:MR)
GO TO 188
ENDIF
matQ(:MR,1) = matQ(:MR,1) - matQ(:MR,JM1) + vecB(:MR)
GO TO 188
ENDIF
vecB3(:MR) = 0.
vecB (:MR) = matQ(:MR,1) + vecP(IP+1:MR+IP)
matQ (:MR,1) = matQ(:MR,1) - matQ(:MR,JM1)
vecB2(:MR) = matQ(:MR,1) + matQ(:MR,NLAST)
K1 = KR + JR
K2 = K1 + JR
CALL COSGEN (JR - 1, 1, ZERO, ONE, TCOS(K1+1),SIZE(TCOS)-K1)
GO TO (182,183,182) NP
182 CONTINUE
TCOS(K2) = TWO*DBLE(NP - 2)
CALL COSGEN (KR, 1, ZERO, ONE, TCOS(K2+1),SIZE(TCOS)-K2)
GO TO 184
183 CONTINUE
CALL COSGEN (KR + 1, 1, HALF, ZERO, TCOS(K2),SIZE(TCOS)-K2)
184 CONTINUE
K4 = 1 - NP/3
CALL MERGE (TCOS, K1, JR - K4, K2 - K4, KR + K4, 0, size(TCOS) )
IF (NP == 3) K1 = K1 - 1
K2 = KR
CALL COSGEN (KR, 1, FNUM2, HALF, TCOS(K1+1),SIZE(TCOS)-K1)
K4 = K1 + KR
CALL COSGEN (LR, 1, FNUM2, HALF, TCOS(K4+1),SIZE(TCOS)-K4)
K3 = LR
K4 = 0
CALL TRI3 (MR, vecA, vecBB, vecC, K, vecB, vecB2, vecB3, &
TCOS, SIZE(TCOS), vecD, vecW, vecW2, vecW3)
vecB(:MR) = vecB(:MR) + vecB2(:MR)
IF (NP == 3) THEN
TCOS(1) = TWO
CALL TRIX (1, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
ENDIF
matQ(:MR,1) = matQ(:MR,1) + vecB(:MR)
188 CONTINUE
J = NLAST - JR
vecB(:MR) = matQ(:MR,NLAST) + matQ(:MR,J)
JM2 = NLAST - I2R
IF (JR == 1) THEN
matQ(:MR,NLAST) = 0.
ELSE
IF (NROD == 0) THEN
matQ(:MR,NLAST) = vecP(IP+1:MR+IP)
IP = IP - MR
ELSE
matQ(:MR,NLAST) = matQ(:MR,NLAST) - matQ(:MR,JM2)
ENDIF
ENDIF
CALL COSGEN (KR, 1, FNUM2, HALF, TCOS,SIZE(TCOS))
CALL COSGEN (LR, 1, FNUM2, HALF, TCOS(KR+1),SIZE(TCOS)-KR)
CALL TRIX (KR, LR, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,NLAST) = matQ(:MR,NLAST) + vecB(:MR)
NLASTP = NLAST
197 CONTINUE
JSTEP = JR
JR = I2R
I2R = I2R/2
IF (JR == 0) GO TO 210
JSTART = 1 + JR
KR = KR - JR
IF (NLAST + JR <= N) THEN
KR = KR - JR
NLAST = NLAST + JR
JSTOP = NLAST - JSTEP
ELSE
JSTOP = NLAST - JR
ENDIF
LR = KR - JR
CALL COSGEN (JR, 1, HALF, ZERO, TCOS,SIZE(TCOS))
DO J = JSTART, JSTOP, JSTEP
JM2 = J - JR
JP2 = J + JR
IF (J == JR) THEN
vecB(:MR) = matQ(:MR,J) + matQ(:MR,JP2)
ELSE
vecB(:MR) = matQ(:MR,J) + matQ(:MR,JM2) + matQ(:MR,JP2)
ENDIF
IF (JR == 1) THEN
matQ(:MR,J) = 0.
ELSE
JM1 = J - I2R
JP1 = J + I2R
matQ(:MR,J) = HALF*(matQ(:MR,J)-matQ(:MR,JM1)-matQ(:MR,JP1))
ENDIF
CALL TRIX (JR, 0, MR, vecA, vecBB, vecC, vecB, TCOS, &
size(TCOS), vecD, vecW)
matQ(:MR,J) = matQ(:MR,J) + vecB(:MR)
END DO
NROD = 1
IF (NLAST + I2R <= N) NROD = 0
IF (NLASTP /= NLAST) GO TO 188
GO TO 197
210 CONTINUE
vecW(1) = IPSTOR
!
! REVISION HISTORY---
!
! SEPTEMBER 1973 VERSION 1
! APRIL 1976 VERSION 2
! JANUARY 1978 VERSION 3
! DECEMBER 1979 VERSION 3.1
! FEBRUARY 1985 DOCUMENTATION UPGRADE
! NOVEMBER 1988 VERSION 3.2, FORTRAN 77 CHANGES
! June 2004 Version 5.0, Fortran 90 Changes
!-----------------------------------------------------------------------
END SUBROUTINE POSTG2
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