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|
*DECK TRICH4
SUBROUTINE TRICH4(ISPLH,IPTRK,IDIM,LX,LZ,L4,MAT,KN,MUW,MUX,MUY,
1 MUZ,IPW,IPX,IPY,IPZ,IMPX)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the compressed diagonal storage indices (MUW, MUX, MUY and
* MUZ) an the permutation vectors (IPW, IPX, IPY and IPZ) for an ADI
* splitting of a mesh centered finite difference discretization in
* hexagonal geometry.
*
*Copyright:
* Copyright (C) 2002 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): A. Benaboud
*
*Parameters: input
* ISPLH type of mesh-splitting: =1 for complete hexagons; =2 for
* triangular mesh-splitting.
* IPTRK L_TRACK pointer to the Trivac tracking information.
* IDIM number of dimensions (2 or 3).
* LX number of hexagons in a plane.
* LZ number of axial planes.
* L4 order of system matrices.
* MAT mixture index assigned to each element.
* KN element-ordered unknown list. Dimensionned to 8*L4
* for hexagons and to (18*(ISPLH-1)**2+3)*LX*LZ for
* triangular mesh-splitting.
* IMPX print parameter (equal to zero for no print).
*
*Parameters: output
* MUW W-oriented compressed storage mode indices.
* MUX X-oriented compressed storage mode indices.
* MUY Y-oriented compressed storage mode indices.
* MUZ Z-oriented compressed storage mode indices.
* IPW W-oriented permutation matrices.
* IPX X-oriented permutation matrices.
* IPY Y-oriented permutation matrices.
* IPZ Z-oriented permutation matrices.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPTRK
INTEGER ISPLH,IDIM,LX,LZ,L4,MAT(LX*LZ),KN(*),MUW(L4),MUX(L4),
1 MUY(L4),MUZ(L4),IPW(L4),IPX(L4),IPY(L4),IPZ(L4),IMPX
*----
* LOCAL VARIABLES
*----
INTEGER, DIMENSION(:), ALLOCATABLE :: IWRK,I1,I2,I3,I4,IDX,IDY
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(IWRK(LX*LZ))
*
IF(ISPLH.EQ.1) THEN
ALLOCATE(I1(LX),I2(LX),I3(LX),I4(LX))
LT4=L4/LZ
MEL = 0
DO 250 KEL=1,LX
I4(KEL) = 0
IF(MAT(KEL).GT.0) THEN
MEL = MEL + 1
I4(KEL) = MEL
ENDIF
250 CONTINUE
*----
* COMPUTE THE PERMUTATION VECTORS
*----
DO 260 I=1,L4
IPW(I)=0
IPX(I)=0
IPY(I)=0
IPZ(I)=0
260 CONTINUE
NC = INT((SQRT(REAL((4*LX-1)/3))+1.)/2.)
J1 = 2 + 3*(NC-1)*(NC-2)
IF(NC.EQ.1) J1=1
J2 = J1 + NC - 1
J3 = J2 + NC - 1
CALL BIVPER(J1,1,LX,LT4,I1,I4)
CALL BIVPER(J2,2,LX,LT4,I2,I4)
CALL BIVPER(J3,3,LX,LT4,I3,I4)
KEL = 0
DO 275 K0 = 1,LZ
DO 270 K1 = 1,LT4
KEL = KEL + 1
IV = (K0-1)*LT4
IPW(KEL) = I1(K1)+IV
IPX(KEL) = I2(K1)+IV
IPY(KEL) = I3(K1)+IV
270 CONTINUE
275 CONTINUE
IF(IDIM.EQ.3) THEN
JEL = 0
DO 285 K1=1,LT4
DO 280 K0=1,LZ
JEL = JEL + 1
IPZ((K0-1)*LT4+I1(K1)) = JEL
280 CONTINUE
285 CONTINUE
ENDIF
DEALLOCATE(I4,I3,I2,I1)
*
DO 300 I=1,L4
MUW(I)=0
MUX(I)=0
MUY(I)=0
MUZ(I)=0
300 CONTINUE
*----
* COMPUTE THE COMPRESSED DIAGONAL STORAGE INDICES
*----
NUM1=0
DO 320 KEL=1,L4
KK1=KN(NUM1+6)
KK2=KN(NUM1+3)
INW1=IPW(KEL)
MUW(INW1)=1
IF(KK1.GT.0) THEN
INW2=IPW(KK1)
MUW(INW1)=MAX0(MUW(INW1),INW1-INW2+1)
ENDIF
IF(KK2.GT.0) THEN
INW2=IPW(KK2)
MUW(INW1)=MAX0(MUW(INW1),INW1-INW2+1)
ENDIF
NUM1=NUM1+8
320 CONTINUE
*
NUM1=0
DO 330 KEL=1,L4
KK3=KN(NUM1+1)
KK4=KN(NUM1+4)
INX1=IPX(KEL)
MUX(INX1)=1
IF(KK3.GT.0) THEN
INX2=IPX(KK3)
MUX(INX1)=MAX0(MUX(INX1),INX1-INX2+1)
ENDIF
IF(KK4.GT.0) THEN
INX2=IPX(KK4)
MUX(INX1)=MAX0(MUX(INX1),INX1-INX2+1)
ENDIF
NUM1=NUM1+8
330 CONTINUE
*
NUM1=0
DO 340 KEL=1,L4
KK5=KN(NUM1+2)
KK6=KN(NUM1+5)
INY1=IPY(KEL)
MUY(INY1)=1
IF(KK5.GT.0) THEN
INY2=IPY(KK5)
MUY(INY1)=MAX0(MUY(INY1),INY1-INY2+1)
ENDIF
IF(KK6.GT.0) THEN
INY2=IPY(KK6)
MUY(INY1)=MAX0(MUY(INY1),INY1-INY2+1)
ENDIF
NUM1=NUM1+8
340 CONTINUE
IF(IDIM.EQ.3) THEN
NUM1=0
DO 350 KEL=1,L4
KK7=KN(NUM1+7)
KK8=KN(NUM1+8)
INZ1=IPZ(KEL)
MUZ(INZ1)=1
IF(KK7.GT.0) THEN
INZ2=IPZ(KK7)
MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-INZ2+1)
ENDIF
IF(KK8.GT.0) THEN
INZ2=IPZ(KK8)
MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-INZ2+1)
ENDIF
NUM1=NUM1+8
350 CONTINUE
ENDIF
*
ELSE IF(ISPLH.GE.2) THEN
*
NTPH = 6*(ISPLH-1)**2
NTPL = 1+2*(ISPLH-1)
NVT1 = NTPL + 2 * (ISPLH-2) + NTPH / 2
NVT2 = NTPH - NTPL - (ISPLH-4) * (NTPL+2)
NVT3 = NTPH - (ISPLH-4) * NTPL
IVAL = 3*NTPH + 8
IF(ISPLH.EQ.3) NVT2 = NTPH
IF(ISPLH.LE.3) ISAU = 2*(ISPLH-2)
IF(ISPLH.GE.4) ISAU = 6*(ISPLH-3)
ICR = ISAU*(1+2*(ISPLH-2))
*----
* COMPUTE THE PERMUTATION VECTORS.
*----
DO 400 I=1,L4
IPW(I)=I
IPX(I)=0
IPY(I)=0
IPZ(I)=0
400 CONTINUE
LI4 = L4/LZ
ALLOCATE(IDX(LI4),IDY(LI4))
CALL LCMGET(IPTRK,'ILX',IDX)
CALL LCMGET(IPTRK,'ILY',IDY)
DO 415 KZ=1,LZ
DO 410 KI=1,LI4
IPX(KI+(KZ-1)*LI4) = IDX(KI) + (KZ-1)*LI4
IPY(KI+(KZ-1)*LI4) = IDY(KI) + (KZ-1)*LI4
410 CONTINUE
415 CONTINUE
DEALLOCATE(IDY,IDX)
IF(IDIM.EQ.3) THEN
DO 425 K1=1,LI4
DO 420 K0=1,LZ
IPZ((K0-1)*LI4+K1) = K0 + (K1-1)*LZ
420 CONTINUE
425 CONTINUE
ENDIF
*
DO 500 I=1,L4
MUW(I)=0
MUX(I)=0
MUY(I)=0
MUZ(I)=0
500 CONTINUE
*----
* COMPUTE THE COMPRESSED DIAGONAL STORAGE INDICES
*----
NUM1=0
DO 520 K0=1,LX*LZ
IF(MAT(K0).LE.0) GO TO 520
DO 510 I = 1,NTPH
CALL TRINEI(3,1,2,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,NTPH,
> NTPL,NVT1,NVT2,NVT3,IVAL,KN)
INW1=IPW(KEL)
MUW(INW1)=1
IF(KK1.GT.0) THEN
INW2=IPW(KK1)
MUW(INW1)=MAX0(MUW(INW1),INW1-INW2+1)
ENDIF
IF(KK2.GT.0) THEN
INW2=IPW(KK2)
MUW(INW1)=MAX0(MUW(INW1),INW1-INW2+1)
ENDIF
510 CONTINUE
NUM1=NUM1+IVAL
520 CONTINUE
*
NUM1=0
DO 540 K0=1,LX*LZ
IF(MAT(K0).LE.0) GO TO 540
DO 530 I = 1,NTPH
CALL TRINEI(3,2,2,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,NTPH,
> NTPL,NVT1,NVT2,NVT3,IVAL,KN)
INX1=IPX(KEL)
MUX(INX1)=1
IF(KK1.GT.0) THEN
INX2=IPX(KK1)
MUX(INX1)=MAX0(MUX(INX1),INX1-INX2+1)
ENDIF
IF(KK2.GT.0) THEN
INX2=IPX(KK2)
MUX(INX1)=MAX0(MUX(INX1),INX1-INX2+1)
ENDIF
530 CONTINUE
NUM1=NUM1+IVAL
540 CONTINUE
*
NUM1=0
DO 560 K0=1,LX*LZ
IF(MAT(K0).LE.0) GO TO 560
DO 550 I = 1,NTPH
CALL TRINEI(3,3,2,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,NTPH,
> NTPL,NVT1,NVT2,NVT3,IVAL,KN)
INY1=IPY(KEL)
MUY(INY1)=1
IF(KK1.GT.0) THEN
INY2=IPY(KK1)
MUY(INY1)=MAX0(MUY(INY1),INY1-INY2+1)
ENDIF
IF(KK2.GT.0) THEN
INY2=IPY(KK2)
MUY(INY1)=MAX0(MUY(INY1),INY1-INY2+1)
ENDIF
550 CONTINUE
NUM1=NUM1+IVAL
560 CONTINUE
IF(IDIM.EQ.3) THEN
*
NUM1=0
DO 580 K0=1,LX*LZ
IF(MAT(K0).LE.0) GO TO 580
DO 570 I = 1,NTPH
KK1 = KN(NUM1+NTPH+I)
KK2 = KN(NUM1+2*NTPH+I)
KEL = KN(NUM1+I)
INZ1=IPZ(KEL)
MUZ(INZ1)=1
IF(KK1.GT.0) THEN
INZ2=IPZ(KK1)
MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-INZ2+1)
ENDIF
IF(KK2.GT.0) THEN
INZ2=IPZ(KK2)
MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-INZ2+1)
ENDIF
570 CONTINUE
NUM1=NUM1+IVAL
580 CONTINUE
ENDIF
ENDIF
IF(IMPX.GE.4) THEN
WRITE(6,710) 'IPW :',(IPW(I),I=1,L4)
WRITE(6,710) 'MUW :',(MUW(I),I=1,L4)
WRITE(6,710) 'IPX :',(IPX(I),I=1,L4)
WRITE(6,710) 'MUX :',(MUX(I),I=1,L4)
WRITE(6,710) 'IPY :',(IPY(I),I=1,L4)
WRITE(6,710) 'MUY :',(MUY(I),I=1,L4)
IF(IDIM.EQ.3) THEN
WRITE(6,710) 'IPZ :',(IPZ(I),I=1,L4)
WRITE(6,710) 'MUZ :',(MUZ(I),I=1,L4)
ENDIF
ENDIF
*
MUWMAX=0
MUXMAX=0
MUYMAX=0
MUZMAX=0
IIMAWW=0
IIMAWX=0
IIMAWY=0
IIMAWZ=0
DO 590 I=1,L4
MUWMAX=MAX(MUWMAX,MUW(I))
MUXMAX=MAX(MUXMAX,MUX(I))
MUYMAX=MAX(MUYMAX,MUY(I))
MUZMAX=MAX(MUZMAX,MUZ(I))
IIMAWW=IIMAWW+MUW(I)
MUW(I)=IIMAWW
IIMAWX=IIMAWX+MUX(I)
MUX(I)=IIMAWX
IIMAWY=IIMAWY+MUY(I)
MUY(I)=IIMAWY
IIMAWZ=IIMAWZ+MUZ(I)
MUZ(I)=IIMAWZ
590 CONTINUE
IF(IMPX.GE.0) WRITE (6,720) MUWMAX,MUXMAX,MUYMAX,MUZMAX
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(IWRK)
RETURN
*
710 FORMAT(/1X,A5/(1X,20I6))
720 FORMAT(/41H TRICH4: MAXIMUM BANDWIDTH ALONG W AXIS =,I5/
1 27X,14HALONG X AXIS =,I5/27X,14HALONG Y AXIS =,I5/27X,
2 14HALONG Z AXIS =,I5)
END
|
