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|
*DECK MTLDLS
SUBROUTINE MTLDLS(NAMP,IPTRK,IPSYS,LL4,ITY,F1)
*
*-----------------------------------------------------------------------
*
*Purpose:
* LCM driver for the solution of a linear system after LDL(t)
* factorization.
*
*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. Hebert
*
*Parameters: input
* NAMP name of the coefficient matrix.
* IPTRK L_TRACK pointer to the tracking information.
* IPSYS L_SYSTEM pointer to system matrices.
* LL4 order of the matrix.
* ITY type of coefficient matrix (1: Bivac; 2: classical Trivac;
* 3: Raviart-Thomas; 11: SPN/Bivac; 13: SPN/Raviart-Thomas).
* F1 right-hand side of the linear system.
*
*Parameters: output
* F1 solution of the linear system.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPTRK,IPSYS
CHARACTER NAMP*(*)
INTEGER LL4,ITY
REAL F1(LL4)
*----
* LOCAL VARIABLES
*----
PARAMETER (NSTATE=40)
CHARACTER NAMT*12,TEXT12*12
INTEGER ITP(NSTATE),ASS_LEN
LOGICAL LMU,LMUW,LMUX,LMUY,LMUZ,DIAG
REAL, DIMENSION(:), ALLOCATABLE :: GAR
TYPE(C_PTR) MU_PTR,IP_PTR,IPV_PTR,NBL_PTR,LBL_PTR
TYPE(C_PTR) ASS_PTR,DGV_PTR
INTEGER, DIMENSION(:), ALLOCATABLE :: IPB
INTEGER, DIMENSION(:), POINTER :: MU,IP,IPV,NBL,LBL
REAL, DIMENSION(:), POINTER :: ASS,DGV
*
*-----------------------------------------------------------------------
*
* INFORMATION RECOVERED FROM XSM OR LCM (NON-SPLITTED MATRIX):
* NAMP : COEFFICIENT MATRIX.
* 'I'//NAMP : FACTORIZED COEFFICIENT MATRIX.
* 'MU' : POSITION OF DIAGONAL ELEMENT IN COEFFICIENT MATRIX.
*
* INFORMATION RECOVERED FROM XSM OR LCM (SPLITTED MATRIX):
* 'W_'//NAMP 'X_'//NAMP 'Y_'//NAMP 'Z_'//NAMP : W-, X-, Y- AND Z-
* ORIENTED MATRIX COMPONENTS.
* 'WI'//NAMP 'XI'//NAMP 'YI'//NAMP 'ZI'//NAMP : W-, X-, Y- AND Z-
* ORIENTED FACTORIZED MATRIX COMPONENTS.
*
* SCALAR INFORMATION RECOVERED FROM LCM.
* 'MUW' 'MUX' 'MUY' 'MUZ' : POSITION OF DIAGONAL ELEMENT IN W-, X-, Y-
* OR Z-ORIENTED MATRIX COMPONENTS.
* 'IPW' 'IPX' 'IPY' 'IPZ' : PERMUTATION INFORMATION FOR W-, X-, Y- OR
* Z-ORIENTED MATRIX COMPONENTS.
*
* SUPERVECTORIZATION INFORMATION RECOVERED FROM LCM.
* 'WD'//NAMP 'XD'//NAMP 'YD'//NAMP 'ZD'//NAMP : DIAGONAL ELEMENTS FOR
* W-, X-, Y- AND Z-ORIENTED MATRIX COMPONENTS.
* 'LL4VW' 'LL4VX' 'LL4VY' 'LL4VZ' : ORDER OF THE REORDERED W-, X-, Y-
* AND Z-ORIENTED MATRIX COMPONENTS.
* 'MUVW' 'MUVX' 'MUVY' 'MUVZ' : POSITION OF DIAGONAL ELEMENT IN W-, X-,
* Y-OR Z-ORIENTED MATRIX COMPONENTS.
* 'IPVW' 'IPVX' 'IPVY' 'IPVZ' : PERMUTATION INFORMATION FOR W-, X-, Y-
* OR Z-ORIENTED MATRIX COMPONENTS.
* 'NBLW' 'NBLX' 'NBLY' 'NBLZ' : NUMBER OF LINEAR SYSTEMS IN EACH SUPER-
* VECTORIAL UNKNOWN GROUP.
* 'LBLW' 'LBLX' 'LBLY' 'LBLZ' : ORDER OF LINEAR SYSTEMS IN EACH SUPER-
* VECTORIAL UNKNOWN GROUP.
*
*-----------------------------------------------------------------------
*
IF(ITY.EQ.1) THEN
* BIVAC TRACKING.
ISEG=0
ELSE IF(ITY.EQ.2) THEN
* CLASSICAL TRIVAC TRACKING.
CALL LCMGET(IPTRK,'STATE-VECTOR',ITP)
ISEG=ITP(17)
LTSW=ITP(19)
ELSE IF(ITY.EQ.3) THEN
* RAVIART-THOMAS/DIFFUSION TRIVAC TRACKING.
ALLOCATE(GAR(LL4))
GAR(:LL4)=F1(:LL4)
F1(:LL4)=0.0
CALL FLDTRS(NAMP,IPTRK,IPSYS,LL4,GAR,F1,1)
DEALLOCATE(GAR)
RETURN
ELSE IF(ITY.EQ.11) THEN
* SIMPLIFIED PN BIVAC TRACKING.
CALL LCMGET(IPSYS,'STATE-VECTOR',ITP)
NBMIX=ITP(7)
NAN=ITP(8)
IF(NAN.EQ.0) CALL XABORT('MTLDLS: SPN-ONLY ALGORITHM(1).')
CALL FLDBSS(NAMP,IPTRK,IPSYS,LL4,NBMIX,NAN,F1,1)
RETURN
ELSE IF(ITY.EQ.13) THEN
* RAVIART-THOMAS/SIMPLIFIED PN TRIVAC TRACKING.
CALL LCMGET(IPSYS,'STATE-VECTOR',ITP)
NBMIX=ITP(7)
NAN=ITP(8)
IF(NAN.EQ.0) CALL XABORT('MTLDLS: SPN-ONLY ALGORITHM(2).')
ALLOCATE(GAR(LL4))
GAR(:LL4)=F1(:LL4)
F1(:LL4)=0.0
CALL FLDSPN(NAMP,IPTRK,IPSYS,LL4,NBMIX,NAN,GAR,F1,1)
DEALLOCATE(GAR)
RETURN
ENDIF
*
CALL LCMLEN(IPTRK,'MU',IDUM,ITYLCM)
LMU=(IDUM.NE.0).AND.(ITYLCM.EQ.1)
CALL LCMLEN(IPTRK,'MUW',IDUM,ITYLCM)
LMUW=(IDUM.NE.0).AND.(ITYLCM.EQ.1)
CALL LCMLEN(IPTRK,'MUX',IDUM,ITYLCM)
LMUX=(IDUM.NE.0).AND.(ITYLCM.EQ.1)
CALL LCMLEN(IPTRK,'MUY',IDUM,ITYLCM)
LMUY=(IDUM.NE.0).AND.(ITYLCM.EQ.1)
CALL LCMLEN(IPTRK,'MUZ',IDUM,ITYLCM)
LMUZ=(IDUM.NE.0).AND.(ITYLCM.EQ.1)
DIAG=LMUY.AND.(.NOT.LMUX)
*
NAMT=NAMP
IF(LMU) THEN
CALL LCMLEN(IPTRK,'MU',LL4TS,ITYLCM)
IF(LL4.NE.LL4TS) CALL XABORT('MTLDLS: INVALID LL4(1).')
CALL LCMGPD(IPTRK,'MU',MU_PTR)
CALL LCMGPD(IPSYS,'I'//NAMT,ASS_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4 /))
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
CALL ALLDLS(LL4,MU,ASS,F1(1))
ELSE IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A W- OR X-ORIENTED LINEAR SYSTEM.
TEXT12=' '
IF(LMUW) THEN
TEXT12='WI'//NAMT(:10)
CALL LCMGPD(IPTRK,'MUW',MU_PTR)
CALL LCMGPD(IPTRK,'IPW',IP_PTR)
CALL LCMLEN(IPTRK,'IPW',LL4TS,ITYLCM)
ELSE IF(DIAG) THEN
TEXT12='YI'//NAMT(:10)
CALL LCMGPD(IPTRK,'MUY',MU_PTR)
CALL LCMGPD(IPTRK,'IPX',IP_PTR)
CALL LCMLEN(IPTRK,'IPX',LL4TS,ITYLCM)
ELSE
TEXT12='XI'//NAMT(:10)
CALL LCMGPD(IPTRK,'MUX',MU_PTR)
CALL LCMGPD(IPTRK,'IPX',IP_PTR)
CALL LCMLEN(IPTRK,'IPX',LL4TS,ITYLCM)
ENDIF
IF(LL4.NE.LL4TS) CALL XABORT('MTLDLS: INVALID LL4(2).')
CALL C_F_POINTER(MU_PTR,MU,(/ LL4 /))
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
ALLOCATE(GAR(LL4))
DO 10 I=1,LL4
GAR(IP(I))=F1(I)
10 CONTINUE
CALL LCMGPD(IPSYS,TEXT12,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
CALL ALLDLS(LL4,MU,ASS,GAR(1))
DO 20 I=1,LL4
F1(I)=GAR(IP(I))
20 CONTINUE
IF(LMUW) THEN
* SCALAR SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUX',MU_PTR)
CALL LCMGPD(IPTRK,'IPX',IP_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4 /))
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL LCMGPD(IPSYS,'X_'//NAMT,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
DO 30 I=1,LL4
II=IP(I)
GAR(II)=F1(I)*ASS(MU(II))
30 CONTINUE
CALL LCMGPD(IPSYS,'XI'//NAMT,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
CALL ALLDLS(LL4,MU,ASS,GAR(1))
DO 50 I=1,LL4
F1(I)=GAR(IP(I))
50 CONTINUE
ENDIF
IF(LMUY) THEN
* SCALAR SOLUTION FOR A Y-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUY',MU_PTR)
CALL LCMGPD(IPTRK,'IPY',IP_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4 /))
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL LCMGPD(IPSYS,'Y_'//NAMT,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
DO 60 I=1,LL4
II=IP(I)
GAR(II)=F1(I)*ASS(MU(II))
60 CONTINUE
CALL LCMGPD(IPSYS,'YI'//NAMT,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
CALL ALLDLS(LL4,MU,ASS,GAR(1))
DO 80 I=1,LL4
F1(I)=GAR(IP(I))
80 CONTINUE
ENDIF
IF(LMUZ) THEN
* SCALAR SOLUTION FOR A Z-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUZ',MU_PTR)
CALL LCMGPD(IPTRK,'IPZ',IP_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4 /))
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL LCMGPD(IPSYS,'Z_'//NAMT,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
DO 90 I=1,LL4
II=IP(I)
GAR(II)=F1(I)*ASS(MU(II))
90 CONTINUE
CALL LCMGPD(IPSYS,'ZI'//NAMT,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ MU(LL4) /))
CALL ALLDLS(LL4,MU,ASS,GAR(1))
DO 110 I=1,LL4
F1(I)=GAR(IP(I))
110 CONTINUE
ENDIF
DEALLOCATE(GAR)
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A W- OR X-ORIENTED LINEAR SYSTEM.
IF(LMUW) THEN
CALL LCMGET(IPTRK,'LL4VW',LL4V)
CALL LCMGPD(IPTRK,'MUVW',MU_PTR)
TEXT12='WI'//NAMT(:10)
CALL LCMLEN(IPTRK,'IPW',LL4TS,ITYLCM)
IF(LL4.NE.LL4TS) CALL XABORT('MTLDLS: INVALID LL4(5).')
CALL LCMGPD(IPTRK,'IPW',IP_PTR)
CALL LCMLEN(IPTRK,'IPVW',IPV_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'IPVW',IPV_PTR)
CALL LCMLEN(IPTRK,'NBLW',NBL_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'NBLW',NBL_PTR)
CALL LCMGPD(IPTRK,'LBLW',LBL_PTR)
ELSE IF(DIAG) THEN
CALL LCMGET(IPTRK,'LL4VY',LL4V)
CALL LCMGPD(IPTRK,'MUVY',MU_PTR)
TEXT12='YI'//NAMT(:10)
CALL LCMLEN(IPTRK,'IPX',LL4TS,ITYLCM)
IF(LL4.NE.LL4TS) CALL XABORT('MTLDLS: INVALID LL4(6).')
CALL LCMGPD(IPTRK,'IPX',IP_PTR)
CALL LCMLEN(IPTRK,'IPVY',IPV_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'IPVY',IPV_PTR)
CALL LCMLEN(IPTRK,'NBLY',NBL_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'NBLY',NBL_PTR)
CALL LCMGPD(IPTRK,'LBLY',LBL_PTR)
ELSE
CALL LCMGET(IPTRK,'LL4VX',LL4V)
CALL LCMGPD(IPTRK,'MUVX',MU_PTR)
TEXT12='XI'//NAMT(:10)
CALL LCMLEN(IPTRK,'IPX',LL4TS,ITYLCM)
IF(LL4.NE.LL4TS) CALL XABORT('MTLDLS: INVALID LL4(7).')
CALL LCMGPD(IPTRK,'IPX',IP_PTR)
CALL LCMLEN(IPTRK,'IPVX',IPV_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'IPVX',IPV_PTR)
CALL LCMLEN(IPTRK,'NBLX',NBL_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'NBLX',NBL_PTR)
CALL LCMGPD(IPTRK,'LBLX',LBL_PTR)
ENDIF
CALL C_F_POINTER(MU_PTR,MU,(/ LL4V/ISEG /))
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL C_F_POINTER(IPV_PTR,IPV,(/ IPV_LEN /))
CALL C_F_POINTER(NBL_PTR,NBL,(/ NBL_LEN /))
CALL C_F_POINTER(LBL_PTR,LBL,(/ NBL_LEN /))
ALLOCATE(IPB(LL4),GAR(LL4V))
DO 120 I=1,LL4
IPB(I)=IPV(IP(I))
120 CONTINUE
GAR(:LL4V)=0.0
DO 130 I=1,LL4
GAR(IPB(I))=F1(I)
130 CONTINUE
CALL LCMLEN(IPSYS,TEXT12,ASS_LEN,ITYLCM)
CALL LCMGPD(IPSYS,TEXT12,ASS_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ ASS_LEN /))
CALL ALVDLS(LTSW,MU,ASS,GAR,ISEG,NBL_LEN,NBL,LBL)
DO 140 I=1,LL4
F1(I)=GAR(IPB(I))
140 CONTINUE
DEALLOCATE(GAR,IPB)
IF(LMUW) THEN
* SUPERVECTORIAL SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VX',LL4V)
CALL LCMGPD(IPTRK,'MUVX',MU_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4V/ISEG /))
CALL LCMLEN(IPTRK,'IPX',LL4,ITYLCM)
CALL LCMGPD(IPTRK,'IPX',IP_PTR)
CALL LCMLEN(IPTRK,'IPVX',IPV_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'IPVX',IPV_PTR)
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL C_F_POINTER(IPV_PTR,IPV,(/ IPV_LEN /))
CALL LCMLEN(IPTRK,'NBLX',NBL_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'NBLX',NBL_PTR)
CALL LCMGPD(IPTRK,'LBLX',LBL_PTR)
CALL C_F_POINTER(NBL_PTR,NBL,(/ NBL_LEN /))
CALL C_F_POINTER(LBL_PTR,LBL,(/ NBL_LEN /))
ALLOCATE(IPB(LL4),GAR(LL4V))
DO 150 I=1,LL4
IPB(I)=IPV(IP(I))
150 CONTINUE
GAR(:LL4V)=0.0
DO 160 I=1,LL4
GAR(IPB(I))=F1(I)
160 CONTINUE
CALL LCMLEN(IPSYS,'XI'//NAMT,ASS_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'XI'//NAMT,ASS_PTR)
CALL LCMGPD(IPSYS,'XD'//NAMT,DGV_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ ASS_LEN /))
CALL C_F_POINTER(DGV_PTR,DGV,(/ LL4V /))
CDIR$ IVDEP
DO 170 I=1,LL4V
GAR(I)=GAR(I)*DGV(I)
170 CONTINUE
CALL ALVDLS(LTSW,MU,ASS,GAR,ISEG,NBL_LEN,NBL,LBL)
DO 190 I=1,LL4
F1(I)=GAR(IPB(I))
190 CONTINUE
DEALLOCATE(GAR,IPB)
ENDIF
IF(LMUY) THEN
* SUPERVECTORIAL SOLUTION FOR A Y-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VY',LL4V)
CALL LCMGPD(IPTRK,'MUVY',MU_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4V/ISEG /))
CALL LCMLEN(IPTRK,'IPY',LL4,ITYLCM)
CALL LCMGPD(IPTRK,'IPY',IP_PTR)
CALL LCMLEN(IPTRK,'IPVY',IPV_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'IPVY',IPV_PTR)
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL C_F_POINTER(IPV_PTR,IPV,(/ IPV_LEN /))
CALL LCMLEN(IPTRK,'NBLY',NBL_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'NBLY',NBL_PTR)
CALL LCMGPD(IPTRK,'LBLY',LBL_PTR)
CALL C_F_POINTER(NBL_PTR,NBL,(/ NBL_LEN /))
CALL C_F_POINTER(LBL_PTR,LBL,(/ NBL_LEN /))
ALLOCATE(IPB(LL4),GAR(LL4V))
DO 200 I=1,LL4
IPB(I)=IPV(IP(I))
200 CONTINUE
GAR(:LL4V)=0.0
DO 210 I=1,LL4
GAR(IPB(I))=F1(I)
210 CONTINUE
CALL LCMLEN(IPSYS,'YI'//NAMT,ASS_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'YI'//NAMT,ASS_PTR)
CALL LCMGPD(IPSYS,'YD'//NAMT,DGV_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ ASS_LEN /))
CALL C_F_POINTER(DGV_PTR,DGV,(/ LL4V /))
CDIR$ IVDEP
DO 220 I=1,LL4V
GAR(I)=GAR(I)*DGV(I)
220 CONTINUE
CALL ALVDLS(LTSW,MU,ASS,GAR,ISEG,NBL_LEN,NBL,LBL)
DO 240 I=1,LL4
F1(I)=GAR(IPB(I))
240 CONTINUE
DEALLOCATE(GAR,IPB)
ENDIF
IF(LMUZ) THEN
* SUPERVECTORIAL SOLUTION FOR A Z-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VZ',LL4V)
CALL LCMGPD(IPTRK,'MUVZ',MU_PTR)
CALL C_F_POINTER(MU_PTR,MU,(/ LL4V/ISEG /))
CALL LCMLEN(IPTRK,'IPZ',LL4,ITYLCM)
CALL LCMGPD(IPTRK,'IPZ',IP_PTR)
CALL LCMLEN(IPTRK,'IPVZ',IPV_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'IPVZ',IPV_PTR)
CALL C_F_POINTER(IP_PTR,IP,(/ LL4 /))
CALL C_F_POINTER(IPV_PTR,IPV,(/ IPV_LEN /))
CALL LCMLEN(IPTRK,'NBLZ',NBL_LEN,ITYLCM)
CALL LCMGPD(IPTRK,'NBLZ',NBL_PTR)
CALL LCMGPD(IPTRK,'LBLZ',LBL_PTR)
CALL C_F_POINTER(NBL_PTR,NBL,(/ NBL_LEN /))
CALL C_F_POINTER(LBL_PTR,LBL,(/ NBL_LEN /))
ALLOCATE(IPB(LL4),GAR(LL4V))
DO 250 I=1,LL4
IPB(I)=IPV(IP(I))
250 CONTINUE
GAR(:LL4V)=0.0
DO 260 I=1,LL4
GAR(IPB(I))=F1(I)
260 CONTINUE
CALL LCMLEN(IPSYS,'ZI'//NAMT,ASS_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'ZI'//NAMT,ASS_PTR)
CALL LCMGPD(IPSYS,'ZD'//NAMT,DGV_PTR)
CALL C_F_POINTER(ASS_PTR,ASS,(/ ASS_LEN /))
CALL C_F_POINTER(DGV_PTR,DGV,(/ LL4V /))
CDIR$ IVDEP
DO 270 I=1,LL4V
GAR(I)=GAR(I)*DGV(I)
270 CONTINUE
CALL ALVDLS(LTSW,MU,ASS,GAR,ISEG,NBL_LEN,NBL,LBL)
DO 290 I=1,LL4
F1(I)=GAR(IPB(I))
290 CONTINUE
DEALLOCATE(GAR,IPB)
ENDIF
ENDIF
RETURN
END
|
