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pim.f90
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SUBROUTINE PIMCBICG(X,B,WRK,IPAR,SPAR,MATVEC,TMATVEC,PRECONL,PRECONR, &
PCSUM,PSCNRM,PROGRESS)
USE DDPRECISION, ONLY : WP
IMPLICIT NONE
! PIM -- The Parallel Iterative Methods package
! ---------------------------------------------
! Rudnei Dias da Cunha
! National Supercomputing Centre and Mathematics Institute
! Universidade Federal do Rio Grande do Sul, Brasil
! Tim Hopkins
! Computing Laboratory, University of Kent at Canterbury, U.K.
! ----------------------------------------------------------------------
! .. Parameters ..
REAL (WP) :: ONE
PARAMETER (ONE=1.0E0_WP)
COMPLEX (WP) :: CZERO
PARAMETER (CZERO=(0.0E0_WP,0.0E0_WP))
COMPLEX (WP) :: CONE
PARAMETER (CONE=(1.0E0_WP,0.0E0_WP))
INTEGER :: IPARSIZ
PARAMETER (IPARSIZ=13)
INTEGER :: SPARSIZ
!Art PARAMETER (SPARSIZ=2)
PARAMETER (SPARSIZ=6)
! ..
! .. Array Arguments ..
COMPLEX (WP) :: B(*), WRK(*), X(*)
REAL (WP) :: SPAR(SPARSIZ)
INTEGER :: IPAR(IPARSIZ)
! ..
! .. Function Arguments ..
REAL (WP) :: PSCNRM
EXTERNAL PSCNRM
! ..
! .. Subroutine Arguments ..
EXTERNAL MATVEC, PCSUM, PRECONL, PRECONR, PROGRESS, TMATVEC
! ..
! .. Local Scalars ..
COMPLEX (WP) :: ALPHA, BETA, DELTA, RHO, RHO0, XI
REAL (WP) :: EPSILON, EXITNORM, RHSSTOP
INTEGER :: BASISDIM, BLKSZ, CNVRTX, IP, IPTILDE, IR, IRTILDE, IS, ITNO, &
IW, IXOLD, IZ, LDA, LOCLEN, MAXIT, N, NPROCS, PRECONTYPE, PROCID, &
STATUS, STEPERR, STOPTYPE
! ..
! .. Local Arrays ..
COMPLEX (WP) :: DOTS(2)
! ..
! .. External Functions ..
COMPLEX (WP) :: CDOTC
REAL (WP) :: SCSETRHSSTOP
EXTERNAL CDOTC, SCSETRHSSTOP
! ..
! .. External Subroutines ..
EXTERNAL CAXPY, CCOPY, PIMSGETPAR, STOPCRIT
! ..
CALL PIMSGETPAR(IPAR,SPAR,LDA,N,BLKSZ,LOCLEN,BASISDIM,NPROCS,PROCID, &
PRECONTYPE,STOPTYPE,MAXIT,ITNO,STATUS,STEPERR,EPSILON,EXITNORM)
! Check consistency of preconditioning and stop types
IF (((PRECONTYPE==0) .OR. (PRECONTYPE==2)) .AND. (STOPTYPE==6)) THEN
ITNO = 0
STATUS = -4
STEPERR = 0
GO TO 9999
END IF
! Does not need conversion Y=Q2X for residual
CNVRTX = 0
! Set indices for mapping local vectors into wrk
IR = 1
IRTILDE = IR + LOCLEN
IPTILDE = IRTILDE + LOCLEN
IP = IPTILDE + LOCLEN
IW = IP + LOCLEN
IZ = IW + LOCLEN
IS = IZ + LOCLEN
IXOLD = IS + LOCLEN
! Set rhs of stopping criteria
RHSSTOP = SCSETRHSSTOP(B,WRK(IR),EPSILON,IPAR,PRECONL,PSCNRM)
! 1. r=Q1(b-AQ2x)
IF (STOPTYPE/=6) THEN
IF (PRECONTYPE==0) THEN
! r=b-Ax
CALL CCOPY(LOCLEN,B,1,WRK(IR),1)
CALL MATVEC(X,WRK(IW),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IW),1,WRK(IR),1)
ELSE IF (PRECONTYPE==1) THEN
! r=Q1(b-Ax)
CALL CCOPY(LOCLEN,B,1,WRK(IZ),1)
CALL MATVEC(X,WRK(IW),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IW),1,WRK(IZ),1)
CALL PRECONL(WRK(IZ),WRK(IR),IPAR)
ELSE IF (PRECONTYPE==2) THEN
! r=b-AQ2x
CALL CCOPY(LOCLEN,B,1,WRK(IR),1)
CALL PRECONR(X,WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
ELSE IF (PRECONTYPE==3) THEN
! r=Q1(b-AQ2x)
CALL CCOPY(LOCLEN,B,1,WRK(IP),1)
CALL PRECONR(X,WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IP),1)
CALL PRECONL(WRK(IP),WRK(IR),IPAR)
END IF
ELSE
! r has been set to Qb in the call to ssetrhsstop
IF (PRECONTYPE==1) THEN
! r=Q1(b-Ax)
CALL MATVEC(X,WRK(IW),IPAR)
CALL PRECONL(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
ELSE IF (PRECONTYPE==3) THEN
! r=Q1(b-AQ2x)
CALL PRECONR(X,WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IW),IPAR)
CALL PRECONL(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
END IF
END IF
! 2. rtilde=ptilde=p=r
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IRTILDE),1)
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IPTILDE),1)
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IP),1)
! 3. rho=dot(rtilde,r)
DOTS(1) = CDOTC(LOCLEN,WRK(IRTILDE),1,WRK(IR),1)
CALL PCSUM(1,DOTS)
RHO = DOTS(1)
! 4. w=Q1AQ2p
IF (PRECONTYPE==0) THEN
CALL MATVEC(WRK(IP),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==1) THEN
CALL MATVEC(WRK(IP),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IP),WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IP),WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IW),IPAR)
END IF
! 5. xi=dot(ptilde,w)
DOTS(1) = CDOTC(LOCLEN,WRK(IPTILDE),1,WRK(IW),1)
CALL PCSUM(1,DOTS)
XI = DOTS(1)
! Loop
STATUS = 0
EXITNORM = -ONE
STEPERR = -1
DO ITNO = 1, MAXIT
! 6. alpha=rho/xi
IF (XI==CZERO) THEN
STATUS = -3
STEPERR = 6
GO TO 9999
END IF
ALPHA = RHO/XI
! 7. x=x+alpha*p
CALL CCOPY(LOCLEN,X,1,WRK(IXOLD),1)
CALL CAXPY(LOCLEN,ALPHA,WRK(IP),1,X,1)
! 8. r=r-alpha*w
CALL CAXPY(LOCLEN,-ALPHA,WRK(IW),1,WRK(IR),1)
! 9. check stopping criterion
CALL STOPCRIT(B,WRK(IR),WRK(IZ),X,WRK(IXOLD),WRK(IW),RHSSTOP,CNVRTX, &
EXITNORM,STATUS,IPAR,MATVEC,TMATVEC,PRECONR,PCSUM,PSCNRM)
! Call monitoring routine
CALL PROGRESS(LOCLEN,ITNO,EXITNORM,X,WRK(IR),WRK(IZ))
IF (STATUS==0) THEN
GO TO 9999
END IF
! 10. rtilde=rtilde-alpha*Q1A^{T}Q2ptilde
IF (PRECONTYPE==0) THEN
CALL TMATVEC(WRK(IPTILDE),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==1) THEN
CALL TMATVEC(WRK(IPTILDE),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IPTILDE),WRK(IZ),IPAR)
CALL TMATVEC(WRK(IZ),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IPTILDE),WRK(IW),IPAR)
CALL TMATVEC(WRK(IW),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IW),IPAR)
END IF
CALL CAXPY(LOCLEN,-ALPHA,WRK(IW),1,WRK(IRTILDE),1)
! 11. s=Q1AQ2r
IF (PRECONTYPE==0) THEN
CALL MATVEC(WRK(IR),WRK(IS),IPAR)
ELSE IF (PRECONTYPE==1) THEN
CALL MATVEC(WRK(IR),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IS),IPAR)
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IR),WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IS),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IR),WRK(IS),IPAR)
CALL MATVEC(WRK(IS),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IS),IPAR)
END IF
! 12. rho=dot(rtilde,r)
RHO0 = RHO
DOTS(1) = CDOTC(LOCLEN,WRK(IRTILDE),1,WRK(IR),1)
! 13. delta=dot(rtilde,s)
DOTS(2) = CDOTC(LOCLEN,WRK(IRTILDE),1,WRK(IS),1)
! Accumulate simultaneously partial values
CALL PCSUM(2,DOTS)
RHO = DOTS(1)
DELTA = DOTS(2)
! 14. beta=rho/rho0
IF (RHO0==CZERO) THEN
STATUS = -3
STEPERR = 14
GO TO 9999
END IF
BETA = RHO/RHO0
! 15. p=r+beta*p
CALL CCOPY(LOCLEN,WRK(IP),1,WRK(IZ),1)
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IP),1)
CALL CAXPY(LOCLEN,BETA,WRK(IZ),1,WRK(IP),1)
! 16. ptilde=rtilde+beta*ptilde
CALL CCOPY(LOCLEN,WRK(IPTILDE),1,WRK(IZ),1)
CALL CCOPY(LOCLEN,WRK(IRTILDE),1,WRK(IPTILDE),1)
CALL CAXPY(LOCLEN,BETA,WRK(IZ),1,WRK(IPTILDE),1)
! 17. w=s+beta*w
CALL CCOPY(LOCLEN,WRK(IW),1,WRK(IZ),1)
CALL CCOPY(LOCLEN,WRK(IS),1,WRK(IW),1)
CALL CAXPY(LOCLEN,BETA,WRK(IZ),1,WRK(IW),1)
! 18. xi=delta-beta^2*xi
XI = DELTA - BETA**2*XI
END DO
IF (ITNO>MAXIT) THEN
STATUS = -1
ITNO = MAXIT
END IF
9999 CONTINUE
IF ((PRECONTYPE==2) .OR. (PRECONTYPE==3)) THEN
CALL CCOPY(LOCLEN,X,1,WRK(IZ),1)
CALL PRECONR(WRK(IZ),X,IPAR)
END IF
! Set output parameters
IPAR(11) = ITNO
IPAR(12) = STATUS
IPAR(13) = STEPERR
SPAR(2) = EXITNORM
RETURN
END SUBROUTINE PIMCBICG
SUBROUTINE PIMCBICGSTAB(X,B,WRK,IPAR,SPAR,MATVEC,PRECONL,PRECONR,PCSUM, &
PSCNRM,PROGRESS)
USE DDPRECISION, ONLY : WP
IMPLICIT NONE
! PIM -- The Parallel Iterative Methods package
! ---------------------------------------------
! Rudnei Dias da Cunha
! National Supercomputing Centre and Mathematics Institute
! Universidade Federal do Rio Grande do Sul, Brasil
! Tim Hopkins
! Computing Laboratory, University of Kent at Canterbury, U.K.
! ----------------------------------------------------------------------
! .. Parameters ..
REAL (WP) :: ONE
PARAMETER (ONE=1.0E0_WP)
COMPLEX (WP) :: CZERO
PARAMETER (CZERO=(0.0E0_WP,0.0E0_WP))
COMPLEX (WP) :: CONE
PARAMETER (CONE=(1.0E0_WP,0.0E0_WP))
INTEGER :: IPARSIZ
PARAMETER (IPARSIZ=13)
INTEGER :: SPARSIZ
!Art PARAMETER (SPARSIZ=2)
PARAMETER (SPARSIZ=6)
! ..
! .. Array Arguments ..
COMPLEX (WP) :: B(*), WRK(*), X(*)
REAL (WP) :: SPAR(SPARSIZ)
INTEGER :: IPAR(IPARSIZ)
! ..
! .. Function Arguments ..
REAL (WP) :: PSCNRM
EXTERNAL PSCNRM
! ..
! .. Subroutine Arguments ..
EXTERNAL MATVEC, PCSUM, PRECONL, PRECONR, PROGRESS
! ..
! .. Local Scalars ..
COMPLEX (WP) :: ALPHA, BETA, KAPPA, OMEGA, RHO, RHO0, XI
REAL (WP) :: EPSILON, EXITNORM, MACHEPS, RHSSTOP
INTEGER :: BASISDIM, BLKSZ, CNVRTX, IP, IQ, IR, IRTILDE, IS, IT, ITNO, &
IV, IW, IXOLD, IZ, LDA, LOCLEN, MAXIT, N, NPROCS, PRECONTYPE, PROCID, &
STATUS, STEPERR, STOPTYPE
! ..
! .. Local Arrays ..
COMPLEX (WP) :: DOTS(2)
! ..
! .. External Functions ..
COMPLEX (WP) :: CDOTC
REAL (WP) :: SCSETRHSSTOP
EXTERNAL CDOTC, SCSETRHSSTOP
! ..
! .. External Subroutines ..
EXTERNAL CAXPY, CCOPY, CINIT, PIMSGETPAR, SMACHCONS, STOPCRIT
! ..
! .. Intrinsic Functions ..
INTRINSIC ABS
! ..
!*** diagnostic
! write(0,*)'entered pibcbigcstab'
! write(0,*)'about to call smachcons'
!****
CALL SMACHCONS('M',MACHEPS)
!*** diagnostic
! write(0,*)'returned from smachcons with MACHEPS=',macheps
! write(0,*)'about to call pimsgetpar with'
! write(0,*)'ipar=',ipar
! write(0,*)'spar=',spar
! write(0,*)'N=',n
!***
CALL PIMSGETPAR(IPAR,SPAR,LDA,N,BLKSZ,LOCLEN,BASISDIM,NPROCS,PROCID, &
PRECONTYPE,STOPTYPE,MAXIT,ITNO,STATUS,STEPERR,EPSILON,EXITNORM)
!*** diagnostic
! write(0,*)'returned from pisgetpar'
! write(0,*)'ipar=',ipar
! write(0,*)'spar=',spar
! write(0,*)'precontype=',precontype
! write(0,*)'stoptype=',stoptype
!***
!Check consistency of preconditioning and stop types
IF (((PRECONTYPE==0) .OR. (PRECONTYPE==2)) .AND. (STOPTYPE==6)) THEN
ITNO = 0
STATUS = -4
STEPERR = 0
GO TO 9999
END IF
! Does not need conversion Y=Q2X for residual
CNVRTX = 0
! Set indices for mapping local vectors into wrk
IR = 1
IRTILDE = IR + LOCLEN
IP = IRTILDE + LOCLEN
IQ = IP + LOCLEN
IS = IQ + LOCLEN
IT = IS + LOCLEN
IV = IT + LOCLEN
IW = IV + LOCLEN
IZ = IW + LOCLEN
IXOLD = IZ + LOCLEN
! Set rhs of stopping criteria
RHSSTOP = SCSETRHSSTOP(B,WRK(IR),EPSILON,IPAR,PRECONL,PSCNRM)
!*** diagnostic
! write(0,*)'pimcbigstab ckpt delta, rhsstop=',rhsstop
!***
! 1. r=Q1(b-AQ2x)
IF (STOPTYPE/=6) THEN
IF (PRECONTYPE==0) THEN
! r=b-Ax
CALL CCOPY(LOCLEN,B,1,WRK(IR),1)
CALL MATVEC(X,WRK(IW),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IW),1,WRK(IR),1)
ELSE IF (PRECONTYPE==1) THEN
! r=Q1(b-Ax)
!*** diagnostic
! write(0,*)'pimcbigstab ckpt delta.2, about to call ccopy'
! write(0,*)'loclen=',loclen,' IZ=',IZ
! write(0,*)'b(1)=',b(1)
! write(0,*)'b(17000)=',b(17000)
!***
CALL CCOPY(LOCLEN,B,1,WRK(IZ),1)
!*** diagnostic
! write(0,*)'about to call matvec with x(17000)=',x(17000)
!***
CALL MATVEC(X,WRK(IW),IPAR)
!*** diagnostic
! write(0,*)'ckpt delta.3, returned from matvec with'
! write(0,*)'iw=',iw
! write(0,*)'wrk(iw+1000)=',wrk(iw+1000)
! write(0,*)'wrk(iw+2000)=',wrk(iw+2000)
! write(0,*)'wrk(iw+3000)=',wrk(iw+3000)
! write(0,*)'wrk(iw+4000)=',wrk(iw+4000)
! write(0,*)'wrk(iw+5000)=',wrk(iw+5000)
! write(0,*)'wrk(iw+6000)=',wrk(iw+6000)
! write(0,*)'wrk(iw+7000)=',wrk(iw+7000)
! write(0,*)'wrk(iw+8000)=',wrk(iw+8000)
! write(0,*)'wrk(iw+9000)=',wrk(iw+9000)
! write(0,*)'wrk(iw+10000)=',wrk(iw+10000)
! write(0,*)'wrk(iw+17000)=',wrk(iw+17000)
! write(0,*)'x(1000)=',x(1000)
! write(0,*)'x(2000)=',x(2000)
! write(0,*)'x(3000)=',x(3000)
! write(0,*)'x(4000)=',x(4000)
! write(0,*)'x(5000)=',x(5000)
! write(0,*)'x(6000)=',x(6000)
! write(0,*)'x(7000)=',x(7000)
! write(0,*)'x(8000)=',x(8000)
! write(0,*)'x(9000)=',x(9000)
!***
CALL CAXPY(LOCLEN,-CONE,WRK(IW),1,WRK(IZ),1)
!*** diagnostic
! write(0,*)'ckpt n1: about to call PRECONL with IZ=',IZ,' IR=',IR
! write(0,*)'wrk(iw+1)=',wrk(iw+1)
! write(0,*)'wrk(iz+1)=',wrk(iz+1)
!***
CALL PRECONL(WRK(IZ),WRK(IR),IPAR)
!***
! write(0,*)'returned from PRECONL'
!***
ELSE IF (PRECONTYPE==2) THEN
! r=b-AQ2x
CALL CCOPY(LOCLEN,B,1,WRK(IR),1)
CALL PRECONR(X,WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
ELSE IF (PRECONTYPE==3) THEN
! r=Q1(b-AQ2x)
CALL CCOPY(LOCLEN,B,1,WRK(IP),1)
CALL PRECONR(X,WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IP),1)
CALL PRECONL(WRK(IP),WRK(IR),IPAR)
END IF
ELSE
! r has been set to Qb in the call to dsetrhsstop
IF (PRECONTYPE==1) THEN
! r=Q1(b-Ax)
CALL MATVEC(X,WRK(IW),IPAR)
CALL PRECONL(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
ELSE IF (PRECONTYPE==3) THEN
! r=Q1(b-AQ2x)
CALL PRECONR(X,WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IW),IPAR)
CALL PRECONL(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
END IF
END IF
! 2. rtilde=r
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IRTILDE),1)
! 3. p=v=0
CALL CINIT(LOCLEN,CZERO,WRK(IP),1)
CALL CINIT(LOCLEN,CZERO,WRK(IV),1)
! 4. rho=alpha=omega=1
RHO = CONE
ALPHA = CONE
OMEGA = CONE
! Loop
STATUS = 0
EXITNORM = -ONE
STEPERR = -1
DO ITNO = 1, MAXIT
! 5. rho=dot(rtilde,r)
RHO0 = RHO
DOTS(1) = CDOTC(LOCLEN,WRK(IRTILDE),1,WRK(IR),1)
!*** diagnostic
! write(0,*)'itno=',itno,' dots(1)=',dots(1)
!***
CALL PCSUM(1,DOTS)
RHO = DOTS(1)
! 6. beta=rho*alpha/(rho0*omega)
KAPPA = RHO0*OMEGA
!*** diagnostic
! write(0,*)'rho0=',rho0
! write(0,*)'omega=',omega
! write(0,*)'kappa=',kappa
!***
IF (KAPPA==CZERO) THEN
STATUS = -3
STEPERR = 6
GO TO 9999
END IF
BETA = RHO*ALPHA/KAPPA
!*** diagnostic
! write(0,*)'ckpt m100, alpha=',alpha,' beta=',beta
!***
! 7. p=r+beta*(p-omega*v)
CALL CAXPY(LOCLEN,-OMEGA,WRK(IV),1,WRK(IP),1)
CALL CCOPY(LOCLEN,WRK(IP),1,WRK(IW),1)
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IP),1)
CALL CAXPY(LOCLEN,BETA,WRK(IW),1,WRK(IP),1)
!*** diagnostic
! write(0,*)'ckpt m101, precontype=',precontype
!***
! 8. v=Q1AQ2p
IF (PRECONTYPE==0) THEN
CALL MATVEC(WRK(IP),WRK(IV),IPAR)
ELSE IF (PRECONTYPE==1) THEN
!*** diagnostic
! write(0,*)'ckpt m201, about to call matvec'
! write(0,*)'with ipar=',ipar
! write(0,*)'ip=',ip
! write(0,*)'wrk(ip+1)=',wrk(ip+1)
! write(0,*)'iz=',iz
! write(0,*)'wrk(iz+1)=',wrk(iz+1)
! ************ wrk(iz+1) is ok at this point
! problem must be in next call to matvec:
!***
CALL MATVEC(WRK(IP),WRK(IZ),IPAR)
!*** diagnostic
! write(0,*)'returned from matvec with'
! write(0,*)'ipar=',ipar
! write(0,*)'ip=',ip,' iz=',iz
! write(0,*)'wrk(iw+1000)=',wrk(iw+1000)
! write(0,*)'wrk(iw+2000)=',wrk(iw+2000)
! write(0,*)'wrk(iw+3000)=',wrk(iw+3000)
! write(0,*)'wrk(iw+4000)=',wrk(iw+4000)
! write(0,*)'wrk(iw+5000)=',wrk(iw+5000)
! write(0,*)'wrk(iw+6000)=',wrk(iw+6000)
! write(0,*)'wrk(iw+7000)=',wrk(iw+7000)
! write(0,*)'wrk(iw+8000)=',wrk(iw+8000)
! write(0,*)'wrk(iw+9000)=',wrk(iw+9000)
! write(0,*)'wrk(iw+10000)=',wrk(iw+10000)
! write(0,*)'wrk(iw+17000)=',wrk(iw+17000)
! write(0,*)'wrk(589825)=',wrk(589825)
! write(0,*)'wkr(iz+1)=',wrk(iz+1)
!***
!*** diagnostic
! write(0,*)'ckpt n2: about to call PRECONL with iz=',iz,' iv=',iv
! ************** problem occurs before this point: wrk(iz+1) is NaN
! where iz=786433
! write(0,*)'wrk(iz+1)=',wrk(iz+1)
! write(0,*)'wkr(iv+1)=',wrk(iv+1)
! write(0,*)'call PRECONL'
!***
CALL PRECONL(WRK(IZ),WRK(IV),IPAR)
! PRECONL has messed with wrk(589825)...
!*** diagnostic
! write(0,*)'ckpt m210'
! write(0,*)'wrk(589825)=',wrk(589825)
!***
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IP),WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IV),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IP),WRK(IV),IPAR)
CALL MATVEC(WRK(IV),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IV),IPAR)
END IF
! 9. xi=dot(rtilde,v)
!*** diagnostic
! write(0,*)'ckpt m230, loclen=',loclen
! write(0,*)'irtilde=',irtilde
! write(0,*)'wrk(irtilde)=',wrk(irtilde)
! write(0,*)'iv=',iv
! write(0,*)'wrk(iv)=',wrk(iv)
!***
DOTS(1) = CDOTC(LOCLEN,WRK(IRTILDE),1,WRK(IV),1)
!*** diagnostic
! write(0,*)'ckpt m250, dots(1)=',dots(1)
!***
CALL PCSUM(1,DOTS)
XI = DOTS(1)
!*** diagnostic
! write(0,*)'ckpt m270, xi=',xi
!***
! 10. alpha=rho/xi
IF (XI==CZERO) THEN
STATUS = -3
STEPERR = 10
GO TO 9999
END IF
ALPHA = RHO/XI
! 11. s=r-alpha*v
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IS),1)
CALL CAXPY(LOCLEN,-ALPHA,WRK(IV),1,WRK(IS),1)
! 12. if ||s||<breaktol then soft-breakdown has occurred
KAPPA = PSCNRM(LOCLEN,WRK(IS))
IF (ABS(KAPPA)<MACHEPS) THEN
STATUS = -2
STEPERR = 12
CALL CAXPY(LOCLEN,ALPHA,WRK(IP),1,X,1)
GO TO 9999
END IF
! 13. t=Q1AQ2s
IF (PRECONTYPE==0) THEN
CALL MATVEC(WRK(IS),WRK(IT),IPAR)
ELSE IF (PRECONTYPE==1) THEN
CALL MATVEC(WRK(IS),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IT),IPAR)
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IS),WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IT),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IS),WRK(IT),IPAR)
CALL MATVEC(WRK(IT),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IT),IPAR)
END IF
! 14. omega=dot(t,s)/dot(t,t)
DOTS(1) = CDOTC(LOCLEN,WRK(IT),1,WRK(IT),1)
DOTS(2) = CDOTC(LOCLEN,WRK(IT),1,WRK(IS),1)
! Accumulate simultaneously partial values
CALL PCSUM(2,DOTS)
IF (DOTS(1)==CZERO) THEN
STATUS = -3
STEPERR = 14
GO TO 9999
END IF
OMEGA = DOTS(2)/DOTS(1)
! 15. x=x+alpha*p+omega*s
CALL CCOPY(LOCLEN,X,1,WRK(IXOLD),1)
CALL CAXPY(LOCLEN,ALPHA,WRK(IP),1,X,1)
CALL CAXPY(LOCLEN,OMEGA,WRK(IS),1,X,1)
! 16. r=s-omega*t
CALL CCOPY(LOCLEN,WRK(IS),1,WRK(IR),1)
CALL CAXPY(LOCLEN,-OMEGA,WRK(IT),1,WRK(IR),1)
! 17. check stopping criterion
CALL STOPCRIT(B,WRK(IR),WRK(IZ),X,WRK(IXOLD),WRK(IW),RHSSTOP,CNVRTX, &
EXITNORM,STATUS,IPAR,MATVEC,MATVEC,PRECONR,PCSUM,PSCNRM)
! Call monitoring routine
CALL PROGRESS(LOCLEN,ITNO,EXITNORM,X,WRK(IR),WRK(IZ))
IF (STATUS==0) THEN
GO TO 9999
END IF
END DO
IF (ITNO>MAXIT) THEN
STATUS = -1
ITNO = MAXIT
END IF
9999 CONTINUE
IF ((PRECONTYPE==2) .OR. (PRECONTYPE==3)) THEN
CALL CCOPY(LOCLEN,X,1,WRK(IZ),1)
CALL PRECONR(WRK(IZ),X,IPAR)
END IF
! Set output parameters
IPAR(11) = ITNO
IPAR(12) = STATUS
IPAR(13) = STEPERR
SPAR(2) = EXITNORM
RETURN
END SUBROUTINE PIMCBICGSTAB
SUBROUTINE PIMCCG(X,B,WRK,IPAR,SPAR,MATVEC,PRECONL,PRECONR,PCSUM,PSCNRM, &
PROGRESS)
USE DDPRECISION, ONLY : WP
IMPLICIT NONE
! PIM -- The Parallel Iterative Methods package
! ---------------------------------------------
! Rudnei Dias da Cunha
! National Supercomputing Centre and Mathematics Institute
! Universidade Federal do Rio Grande do Sul, Brasil
! Tim Hopkins
! Computing Laboratory, University of Kent at Canterbury, U.K.
! ----------------------------------------------------------------------
! .. Parameters ..
REAL (WP) :: ONE
PARAMETER (ONE=1.0E0_WP)
COMPLEX (WP) :: CZERO
PARAMETER (CZERO=(0.0E0_WP,0.0E0_WP))
COMPLEX (WP) :: CONE
PARAMETER (CONE=(1.0E0_WP,0.0E0_WP))
INTEGER :: IPARSIZ
PARAMETER (IPARSIZ=13)
INTEGER :: SPARSIZ
!Art PARAMETER (SPARSIZ=2)
PARAMETER (SPARSIZ=6)
! ..
! .. Array Arguments ..
COMPLEX (WP) :: B(*), WRK(*), X(*)
REAL (WP) :: SPAR(SPARSIZ)
INTEGER :: IPAR(IPARSIZ)
! ..
! .. Function Arguments ..
REAL (WP) :: PSCNRM
EXTERNAL PSCNRM
! ..
! .. Subroutine Arguments ..
EXTERNAL MATVEC, PCSUM, PRECONL, PRECONR, PROGRESS
! ..
! .. Local Scalars ..
COMPLEX (WP) :: ALPHA, BETA, DELTA, RDOTR, RDOTR0, XI
REAL (WP) :: EPSILON, EXITNORM, RHSSTOP
INTEGER :: BASISDIM, BLKSZ, CNVRTX, IP, IR, IS, ITNO, IW, IXOLD, IZ, &
LDA, LOCLEN, MAXIT, N, NPROCS, PRECONTYPE, PROCID, STATUS, STEPERR, &
STOPTYPE
! ..
! .. Local Arrays ..
COMPLEX (WP) :: DOTS(2)
! ..
! .. External Functions ..
COMPLEX (WP) :: CDOTC
REAL (WP) :: SCSETRHSSTOP
EXTERNAL CDOTC, SCSETRHSSTOP
! ..
! .. External Subroutines ..
EXTERNAL CAXPY, CCOPY, PIMSGETPAR, STOPCRIT
! ..
CALL PIMSGETPAR(IPAR,SPAR,LDA,N,BLKSZ,LOCLEN,BASISDIM,NPROCS,PROCID, &
PRECONTYPE,STOPTYPE,MAXIT,ITNO,STATUS,STEPERR,EPSILON,EXITNORM)
! Check consistency of preconditioning and stop types
IF (((PRECONTYPE==0) .OR. (PRECONTYPE==2)) .AND. (STOPTYPE==6)) THEN
ITNO = 0
STATUS = -4
STEPERR = 0
GO TO 9999
END IF
! Does not need conversion Y=Q2X for residual
CNVRTX = 0
! Set indices for mapping local vectors into wrk
IR = 1
IP = IR + LOCLEN
IW = IP + LOCLEN
IZ = IW + LOCLEN
IS = IZ + LOCLEN
IXOLD = IS + LOCLEN
! Set rhs of stopping criteria
RHSSTOP = SCSETRHSSTOP(B,WRK(IR),EPSILON,IPAR,PRECONL,PSCNRM)
! 1. r=Q1(b-AQ2x)
IF (STOPTYPE/=6) THEN
IF (PRECONTYPE==0) THEN
! r=b-Ax
CALL CCOPY(LOCLEN,B,1,WRK(IR),1)
CALL MATVEC(X,WRK(IW),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IW),1,WRK(IR),1)
ELSE IF (PRECONTYPE==1) THEN
! r=Q1(b-Ax)
CALL CCOPY(LOCLEN,B,1,WRK(IZ),1)
CALL MATVEC(X,WRK(IW),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IW),1,WRK(IZ),1)
CALL PRECONL(WRK(IZ),WRK(IR),IPAR)
ELSE IF (PRECONTYPE==2) THEN
! r=b-AQ2x
CALL CCOPY(LOCLEN,B,1,WRK(IR),1)
CALL PRECONR(X,WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
ELSE IF (PRECONTYPE==3) THEN
! r=Q1(b-AQ2x)
CALL CCOPY(LOCLEN,B,1,WRK(IP),1)
CALL PRECONR(X,WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IP),1)
CALL PRECONL(WRK(IP),WRK(IR),IPAR)
END IF
ELSE
! r has been set to Qb in the call to dsetrhsstop
IF (PRECONTYPE==1) THEN
! r=Q1(b-Ax)
CALL MATVEC(X,WRK(IW),IPAR)
CALL PRECONL(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
ELSE IF (PRECONTYPE==3) THEN
! r=Q1(b-AQ2x)
CALL PRECONR(X,WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IW),IPAR)
CALL PRECONL(WRK(IW),WRK(IZ),IPAR)
CALL CAXPY(LOCLEN,-CONE,WRK(IZ),1,WRK(IR),1)
END IF
END IF
! 2. p=r
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IP),1)
! 3. rdotr=dot(r,r)
DOTS(1) = CDOTC(LOCLEN,WRK(IR),1,WRK(IR),1)
CALL PCSUM(1,DOTS)
RDOTR = DOTS(1)
! 4. w=Q1AQ2p
IF (PRECONTYPE==0) THEN
CALL MATVEC(WRK(IP),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==1) THEN
CALL MATVEC(WRK(IP),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IP),WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IW),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IP),WRK(IW),IPAR)
CALL MATVEC(WRK(IW),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IW),IPAR)
END IF
! 5. xi=dot(p,w)
DOTS(1) = CDOTC(LOCLEN,WRK(IP),1,WRK(IW),1)
CALL PCSUM(1,DOTS)
XI = DOTS(1)
! Loop
STATUS = 0
EXITNORM = -ONE
STEPERR = -1
DO ITNO = 1, MAXIT
! 6. alpha=rdotr/xi
IF (XI==CZERO) THEN
STATUS = -3
STEPERR = 6
GO TO 9999
END IF
ALPHA = RDOTR/XI
! 7. x=x+alpha*p
CALL CCOPY(LOCLEN,X,1,WRK(IXOLD),1)
CALL CAXPY(LOCLEN,ALPHA,WRK(IP),1,X,1)
! 8. r=r-alpha*w
CALL CAXPY(LOCLEN,-ALPHA,WRK(IW),1,WRK(IR),1)
! 9. check stopping criterion
CALL STOPCRIT(B,WRK(IR),WRK(IZ),X,WRK(IXOLD),WRK(IS),RHSSTOP,CNVRTX, &
EXITNORM,STATUS,IPAR,MATVEC,MATVEC,PRECONR,PCSUM,PSCNRM)
! Call monitoring routine
CALL PROGRESS(LOCLEN,ITNO,EXITNORM,X,WRK(IR),WRK(IZ))
IF (STATUS==0) THEN
GO TO 9999
END IF
! 10. s=Q1AQ2r
IF (PRECONTYPE==0) THEN
CALL MATVEC(WRK(IR),WRK(IS),IPAR)
ELSE IF (PRECONTYPE==1) THEN
CALL MATVEC(WRK(IR),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IS),IPAR)
ELSE IF (PRECONTYPE==2) THEN
CALL PRECONR(WRK(IR),WRK(IZ),IPAR)
CALL MATVEC(WRK(IZ),WRK(IS),IPAR)
ELSE IF (PRECONTYPE==3) THEN
CALL PRECONR(WRK(IR),WRK(IS),IPAR)
CALL MATVEC(WRK(IS),WRK(IZ),IPAR)
CALL PRECONL(WRK(IZ),WRK(IS),IPAR)
END IF
! 11. rdotr=dot(r,r)
RDOTR0 = RDOTR
DOTS(1) = CDOTC(LOCLEN,WRK(IR),1,WRK(IR),1)
! 12. delta=dot(r,s)
DOTS(2) = CDOTC(LOCLEN,WRK(IR),1,WRK(IS),1)
! Accumulate simultaneously partial values
CALL PCSUM(2,DOTS)
RDOTR = DOTS(1)
DELTA = DOTS(2)
! 13. beta=rdotr/rdotr0
IF (RDOTR0==CZERO) THEN
STATUS = -3
STEPERR = 13
GO TO 9999
END IF
BETA = RDOTR/RDOTR0
! 14. p=r+beta*p
CALL CCOPY(LOCLEN,WRK(IP),1,WRK(IZ),1)
CALL CCOPY(LOCLEN,WRK(IR),1,WRK(IP),1)
CALL CAXPY(LOCLEN,BETA,WRK(IZ),1,WRK(IP),1)
! 15. w=s+beta*w
CALL CCOPY(LOCLEN,WRK(IW),1,WRK(IZ),1)
CALL CCOPY(LOCLEN,WRK(IS),1,WRK(IW),1)
CALL CAXPY(LOCLEN,BETA,WRK(IZ),1,WRK(IW),1)
! 16. xi=delta-beta^2*xi
XI = DELTA - BETA**2*XI
END DO