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@ -175,17 +175,17 @@ subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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complex(kind(1.d0)),intent(in) :: alpha,beta
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complex(kind(1.d0)),intent(in) :: x(:)
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complex(kind(1.d0)),intent(inout) :: y(:)
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character :: trans
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character, intent(in) :: trans
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complex(kind(1.d0)),target :: work(:)
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integer, intent(out) :: info
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! Local variables
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integer :: n_row,n_col
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integer :: ictxt,np,me,i, nr2l,nc2l,err_act
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integer :: n_row,n_col
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integer :: ictxt,np,me,i, nr2l,nc2l,err_act
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integer :: debug_level, debug_unit
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integer :: ismth, nlev, ilev, icm
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character(len=20) :: name
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character :: trans_
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name = 'mld_zmlprec_aply'
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info = 0
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@ -200,6 +200,7 @@ subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Entry ', size(baseprecv)
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trans_ = toupper(trans)
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select case(baseprecv(2)%iprcparm(mld_ml_type_))
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@ -213,7 +214,7 @@ subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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case(mld_add_ml_)
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call add_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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call add_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans_,work,info)
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case(mld_mult_ml_)
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@ -228,15 +229,34 @@ subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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case(mld_post_smooth_)
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call mlt_post_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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select case (trans_)
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case('N')
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call mlt_post_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans_,work,info)
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case('T','C')
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call mlt_pre_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans_,work,info)
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case default
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info = 4001
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call psb_errpush(info,name,a_err='invalid trans')
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goto 9999
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end select
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case(mld_pre_smooth_)
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call mlt_pre_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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select case (trans_)
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case('N')
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call mlt_pre_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans_,work,info)
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case('T','C')
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call mlt_post_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans_,work,info)
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case default
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info = 4001
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call psb_errpush(info,name,a_err='invalid trans')
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goto 9999
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end select
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case(mld_twoside_smooth_)
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call mlt_twoside_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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call mlt_twoside_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans_,work,info)
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case default
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info = 4013
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@ -265,20 +285,17 @@ subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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end if
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return
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contains
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subroutine add_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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implicit none
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! Arguments
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type(psb_desc_type),intent(in) :: desc_data
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type(mld_zbaseprc_type), intent(in) :: baseprecv(:)
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complex(kind(1.d0)),intent(in) :: alpha,beta
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complex(kind(1.d0)),intent(in) :: x(:)
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complex(kind(1.d0)),intent(inout) :: y(:)
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character :: trans
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character, intent(in) :: trans
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complex(kind(1.d0)),target :: work(:)
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integer, intent(out) :: info
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@ -314,7 +331,6 @@ contains
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goto 9999
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end if
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!
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! Additive multilevel
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!
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@ -492,7 +508,6 @@ contains
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goto 9999
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end if
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deallocate(mlprec_wrk,stat=info)
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if (info /= 0) then
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call psb_errpush(4000,name)
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@ -509,20 +524,19 @@ contains
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return
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end if
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return
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end subroutine add_ml_aply
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subroutine mlt_post_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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subroutine mlt_pre_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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implicit none
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! Arguments
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type(psb_desc_type),intent(in) :: desc_data
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type(mld_zbaseprc_type), intent(in) :: baseprecv(:)
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complex(kind(1.d0)),intent(in) :: alpha,beta
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complex(kind(1.d0)),intent(in) :: x(:)
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complex(kind(1.d0)),intent(inout) :: y(:)
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character :: trans
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character, intent(in) :: trans
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complex(kind(1.d0)),target :: work(:)
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integer, intent(out) :: info
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@ -538,7 +552,7 @@ contains
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end type psb_mlprec_wrk_type
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type(psb_mlprec_wrk_type), allocatable :: mlprec_wrk(:)
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name = 'mlt_post_ml_aply'
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name = 'mlt_pre_ml_aply'
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info = 0
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call psb_erractionsave(err_act)
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debug_unit = psb_get_debug_unit()
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@ -558,35 +572,42 @@ contains
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goto 9999
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end if
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!
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! Post-smoothing
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! Pre-smoothing
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!
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! 1. X(1) = Xext
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! 1. X(1) = Xext
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!
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! 2. DO ilev=2, nlev
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! 2. ! Apply the base preconditioner at the finest level.
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! Y(1) = (K(1)^(-1))*X(1)
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!
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! ! Transfer X(ilev-1) to the next coarser level.
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! X(ilev) = AV(ilev; sm_pr_t_)*X(ilev-1)
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! 3. ! Compute the residual at the finest level.
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! TX(1) = X(1) - A(1)*Y(1)
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!
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! ENDDO
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! 4. DO ilev=2, nlev
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!
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! 3.! Apply the preconditioner at the coarsest level.
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! Y(nlev) = (K(nlev)^(-1))*X(nlev)
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! ! Transfer the residual to the current (coarser) level.
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! X(ilev) = AV(ilev; sm_pr_t_)*TX(ilev-1)
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!
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! 4. DO ilev=nlev-1,1,-1
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! ! Apply the base preconditioner at the current level.
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! ! The sum over the subdomains is carried out in the
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! ! application of K(ilev).
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! Y(ilev) = (K(ilev)^(-1))*X(ilev)
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!
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! ! Transfer Y(ilev+1) to the next finer level.
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! Y(ilev) = AV(ilev+1; sm_pr_)*Y(ilev+1)
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! ! Compute the residual at the current level (except at
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! ! the coarsest level).
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! IF (ilev < nlev)
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! TX(ilev) = (X(ilev)-A(ilev)*Y(ilev))
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!
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! ! Compute the residual at the current level and apply to it the
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! ! base preconditioner. The sum over the subdomains is carried out
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! ! in the application of K(ilev).
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! Y(ilev) = Y(ilev) + (K(ilev)^(-1))*(X(ilev)-A(ilev)*Y(ilev))
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! ENDDO
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!
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! ENDDO
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! 5. DO ilev=nlev-1,1,-1
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!
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! 5. Yext = beta*Yext + alpha*Y(1)
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! ! Transfer Y(ilev+1) to the next finer level
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! Y(ilev) = Y(ilev) + AV(ilev+1; sm_pr_)*Y(ilev+1)
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!
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! ENDDO
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!
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! 6. Yext = beta*Yext + alpha*Y(1)
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!
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!
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@ -594,30 +615,55 @@ contains
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!
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! Copy the input vector X
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!
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if (debug_level >= psb_debug_inner_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' desc_data status',allocated(desc_data%matrix_data)
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n_col = psb_cd_get_local_cols(desc_data)
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nc2l = psb_cd_get_local_cols(baseprecv(1)%desc_data)
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allocate(mlprec_wrk(1)%x2l(nc2l),mlprec_wrk(1)%y2l(nc2l), &
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& mlprec_wrk(1)%tx(nc2l), stat=info)
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mlprec_wrk(1)%x2l(:) = zzero
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mlprec_wrk(1)%y2l(:) = zzero
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mlprec_wrk(1)%tx(:) = zzero
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if (info /= 0) then
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info=4025
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call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
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& a_err='real(kind(1.d0))')
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goto 9999
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end if
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call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%tx,&
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& baseprecv(1)%base_desc,info)
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call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%x2l,&
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& baseprecv(1)%base_desc,info)
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mlprec_wrk(1)%y2l(:) = zzero
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mlprec_wrk(1)%x2l(:) = x
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!
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! STEP 2
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!
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! Apply the base preconditioner at the finest level
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!
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call mld_baseprec_aply(zone,baseprecv(1),mlprec_wrk(1)%x2l,&
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& zzero,mlprec_wrk(1)%y2l,&
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& baseprecv(1)%base_desc,&
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& trans,work,info)
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if (info /=0) then
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call psb_errpush(4010,name,a_err=' baseprec_aply')
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goto 9999
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end if
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!
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! STEP 3
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!
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! Compute the residual at the finest level
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!
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mlprec_wrk(1)%tx = mlprec_wrk(1)%x2l
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call psb_spmm(-zone,baseprecv(1)%base_a,mlprec_wrk(1)%y2l,&
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& zone,mlprec_wrk(1)%tx,baseprecv(1)%base_desc,info,work=work)
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if (info /=0) then
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call psb_errpush(4001,name,a_err=' fine level residual')
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goto 9999
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end if
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!
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! STEP 4
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!
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! For each level but the finest one ...
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!
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do ilev=2, nlev
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do ilev = 2, nlev
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n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
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n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
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@ -626,15 +672,8 @@ contains
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ismth = baseprecv(ilev)%iprcparm(mld_smooth_kind_)
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icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
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if (debug_level >= psb_debug_inner_) &
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& write(debug_unit,*) me,' ',trim(name), &
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& ' starting up sweep ',&
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& ilev,allocated(baseprecv(ilev)%iprcparm),n_row,n_col,&
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& nc2l, nr2l,ismth
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allocate(mlprec_wrk(ilev)%tx(nc2l),mlprec_wrk(ilev)%y2l(nc2l),&
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& mlprec_wrk(ilev)%x2l(nc2l), stat=info)
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if (info /= 0) then
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info=4025
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call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
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@ -645,36 +684,34 @@ contains
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mlprec_wrk(ilev)%x2l(:) = zzero
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mlprec_wrk(ilev)%y2l(:) = zzero
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mlprec_wrk(ilev)%tx(:) = zzero
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if (ismth /= mld_no_smooth_) then
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!
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! Apply the smoothed prolongator transpose
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|
!
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name), ' up sweep ', ilev
|
|
|
|
|
|
|
|
|
|
call psb_halo(mlprec_wrk(ilev-1)%x2l,&
|
|
|
|
|
& baseprecv(ilev-1)%base_desc,info,work=work)
|
|
|
|
|
call psb_halo(mlprec_wrk(ilev-1)%tx,baseprecv(ilev-1)%base_desc,&
|
|
|
|
|
& info,work=work)
|
|
|
|
|
if (info == 0) call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_t_),&
|
|
|
|
|
& mlprec_wrk(ilev-1)%x2l,zzero,mlprec_wrk(ilev)%x2l,info)
|
|
|
|
|
& mlprec_wrk(ilev-1)%tx,zzero,mlprec_wrk(ilev)%x2l,info)
|
|
|
|
|
else
|
|
|
|
|
!
|
|
|
|
|
! Apply the raw aggregation map transpose (take a shortcut)
|
|
|
|
|
!
|
|
|
|
|
mlprec_wrk(ilev)%x2l = zzero
|
|
|
|
|
do i=1,n_row
|
|
|
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
|
|
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
|
|
|
|
& mlprec_wrk(ilev-1)%x2l(i)
|
|
|
|
|
& mlprec_wrk(ilev-1)%tx(i)
|
|
|
|
|
end do
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error during restriction')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (icm == mld_repl_mat_) Then
|
|
|
|
|
if (icm ==mld_repl_mat_) then
|
|
|
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nr2l))
|
|
|
|
|
else if (icm /= mld_distr_mat_) Then
|
|
|
|
|
else if (icm /= mld_distr_mat_) then
|
|
|
|
|
info = 4013
|
|
|
|
|
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_',&
|
|
|
|
|
& i_Err=(/icm,0,0,0,0/))
|
|
|
|
@ -682,46 +719,32 @@ contains
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! update x2l
|
|
|
|
|
! Apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
call psb_geaxpby(zone,mlprec_wrk(ilev)%x2l,zzero,mlprec_wrk(ilev)%tx,&
|
|
|
|
|
& baseprecv(ilev)%base_desc,info)
|
|
|
|
|
if (info /= 0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error in update')
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%x2l,&
|
|
|
|
|
& zzero,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%desc_data, 'N',work,info)
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Compute the residual (at all levels but the coarsest one)
|
|
|
|
|
!
|
|
|
|
|
if (ilev < nlev) then
|
|
|
|
|
mlprec_wrk(ilev)%tx = mlprec_wrk(ilev)%x2l
|
|
|
|
|
if (info == 0) call psb_spmm(-zone,baseprecv(ilev)%base_a,&
|
|
|
|
|
& mlprec_wrk(ilev)%y2l,zone,mlprec_wrk(ilev)%tx,&
|
|
|
|
|
& baseprecv(ilev)%base_desc,info,work=work)
|
|
|
|
|
endif
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error on up sweep residual')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' done up sweep ', ilev
|
|
|
|
|
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 3
|
|
|
|
|
!
|
|
|
|
|
! Apply the base preconditioner at the coarsest level
|
|
|
|
|
!
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(nlev),mlprec_wrk(nlev)%x2l, &
|
|
|
|
|
& zzero, mlprec_wrk(nlev)%y2l,baseprecv(nlev)%desc_data,'N',work,info)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4010,name,a_err='baseprec_aply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) write(debug_unit,*) &
|
|
|
|
|
& me,' ',trim(name), ' done baseprec_aply ', nlev
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 4
|
|
|
|
|
! STEP 5
|
|
|
|
|
!
|
|
|
|
|
! For each level but the coarsest one ...
|
|
|
|
|
!
|
|
|
|
|
do ilev=nlev-1, 1, -1
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' starting down sweep',ilev
|
|
|
|
|
do ilev = nlev-1, 1, -1
|
|
|
|
|
|
|
|
|
|
ismth = baseprecv(ilev+1)%iprcparm(mld_smooth_kind_)
|
|
|
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev)%base_desc)
|
|
|
|
@ -731,15 +754,14 @@ contains
|
|
|
|
|
! Apply the smoothed prolongator
|
|
|
|
|
!
|
|
|
|
|
if (ismth == mld_smooth_prol_) &
|
|
|
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,baseprecv(ilev+1)%desc_data,&
|
|
|
|
|
& info,work=work)
|
|
|
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,&
|
|
|
|
|
& baseprecv(ilev+1)%desc_data,info,work=work)
|
|
|
|
|
if (info == 0) call psb_csmm(zone,baseprecv(ilev+1)%av(mld_sm_pr_),&
|
|
|
|
|
& mlprec_wrk(ilev+1)%y2l, zzero,mlprec_wrk(ilev)%y2l,info)
|
|
|
|
|
& mlprec_wrk(ilev+1)%y2l,zone,mlprec_wrk(ilev)%y2l,info)
|
|
|
|
|
else
|
|
|
|
|
!
|
|
|
|
|
! Apply the raw aggregation map (take a shortcut)
|
|
|
|
|
!
|
|
|
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
|
|
|
do i=1, n_row
|
|
|
|
|
mlprec_wrk(ilev)%y2l(i) = mlprec_wrk(ilev)%y2l(i) + &
|
|
|
|
|
& mlprec_wrk(ilev+1)%y2l(baseprecv(ilev+1)%mlia(i))
|
|
|
|
@ -749,42 +771,20 @@ contains
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error during prolongation')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Compute the residual
|
|
|
|
|
!
|
|
|
|
|
call psb_spmm(-zone,baseprecv(ilev)%base_a,mlprec_wrk(ilev)%y2l,&
|
|
|
|
|
& zone,mlprec_wrk(ilev)%tx,baseprecv(ilev)%base_desc,info,work=work)
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
if (info == 0) call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%tx,&
|
|
|
|
|
& zone,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%base_desc, trans, work,info)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err=' spmm/baseprec_aply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' done down sweep',ilev
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 5
|
|
|
|
|
! STEP 6
|
|
|
|
|
!
|
|
|
|
|
! Compute the output vector Y
|
|
|
|
|
!
|
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,baseprecv(1)%base_desc,info)
|
|
|
|
|
|
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,&
|
|
|
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err=' Final update')
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error on final update')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
deallocate(mlprec_wrk,stat=info)
|
|
|
|
|
if (info /= 0) then
|
|
|
|
|
call psb_errpush(4000,name)
|
|
|
|
@ -801,21 +801,18 @@ contains
|
|
|
|
|
return
|
|
|
|
|
end if
|
|
|
|
|
return
|
|
|
|
|
end subroutine mlt_post_ml_aply
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
end subroutine mlt_pre_ml_aply
|
|
|
|
|
|
|
|
|
|
subroutine mlt_pre_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
|
|
|
|
|
|
|
|
|
|
subroutine mlt_post_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
|
|
|
type(mld_zbaseprc_type), intent(in) :: baseprecv(:)
|
|
|
|
|
complex(kind(1.d0)),intent(in) :: alpha,beta
|
|
|
|
|
complex(kind(1.d0)),intent(in) :: x(:)
|
|
|
|
|
complex(kind(1.d0)),intent(inout) :: y(:)
|
|
|
|
|
character :: trans
|
|
|
|
|
character, intent(in) :: trans
|
|
|
|
|
complex(kind(1.d0)),target :: work(:)
|
|
|
|
|
integer, intent(out) :: info
|
|
|
|
|
|
|
|
|
@ -831,7 +828,7 @@ contains
|
|
|
|
|
end type psb_mlprec_wrk_type
|
|
|
|
|
type(psb_mlprec_wrk_type), allocatable :: mlprec_wrk(:)
|
|
|
|
|
|
|
|
|
|
name = 'mlt_pre_ml_aply'
|
|
|
|
|
name = 'mlt_post_ml_aply'
|
|
|
|
|
info = 0
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
|
debug_unit = psb_get_debug_unit()
|
|
|
|
@ -852,41 +849,33 @@ contains
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Pre-smoothing
|
|
|
|
|
!
|
|
|
|
|
! 1. X(1) = Xext
|
|
|
|
|
!
|
|
|
|
|
! 2. ! Apply the base preconditioner at the finest level.
|
|
|
|
|
! Y(1) = (K(1)^(-1))*X(1)
|
|
|
|
|
! Post-smoothing
|
|
|
|
|
!
|
|
|
|
|
! 3. ! Compute the residual at the finest level.
|
|
|
|
|
! TX(1) = X(1) - A(1)*Y(1)
|
|
|
|
|
! 1. X(1) = Xext
|
|
|
|
|
!
|
|
|
|
|
! 4. DO ilev=2, nlev
|
|
|
|
|
! 2. DO ilev=2, nlev
|
|
|
|
|
!
|
|
|
|
|
! ! Transfer the residual to the current (coarser) level.
|
|
|
|
|
! X(ilev) = AV(ilev; sm_pr_t_)*TX(ilev-1)
|
|
|
|
|
! ! Transfer X(ilev-1) to the next coarser level.
|
|
|
|
|
! X(ilev) = AV(ilev; sm_pr_t_)*X(ilev-1)
|
|
|
|
|
!
|
|
|
|
|
! ! Apply the base preconditioner at the current level.
|
|
|
|
|
! ! The sum over the subdomains is carried out in the
|
|
|
|
|
! ! application of K(ilev).
|
|
|
|
|
! Y(ilev) = (K(ilev)^(-1))*X(ilev)
|
|
|
|
|
! ENDDO
|
|
|
|
|
!
|
|
|
|
|
! ! Compute the residual at the current level (except at
|
|
|
|
|
! ! the coarsest level).
|
|
|
|
|
! IF (ilev < nlev)
|
|
|
|
|
! TX(ilev) = (X(ilev)-A(ilev)*Y(ilev))
|
|
|
|
|
! 3.! Apply the preconditioner at the coarsest level.
|
|
|
|
|
! Y(nlev) = (K(nlev)^(-1))*X(nlev)
|
|
|
|
|
!
|
|
|
|
|
! ENDDO
|
|
|
|
|
! 4. DO ilev=nlev-1,1,-1
|
|
|
|
|
!
|
|
|
|
|
! 5. DO ilev=nlev-1,1,-1
|
|
|
|
|
! ! Transfer Y(ilev+1) to the next finer level.
|
|
|
|
|
! Y(ilev) = AV(ilev+1; sm_pr_)*Y(ilev+1)
|
|
|
|
|
!
|
|
|
|
|
! ! Transfer Y(ilev+1) to the next finer level
|
|
|
|
|
! Y(ilev) = Y(ilev) + AV(ilev+1; sm_pr_)*Y(ilev+1)
|
|
|
|
|
! ! Compute the residual at the current level and apply to it the
|
|
|
|
|
! ! base preconditioner. The sum over the subdomains is carried out
|
|
|
|
|
! ! in the application of K(ilev).
|
|
|
|
|
! Y(ilev) = Y(ilev) + (K(ilev)^(-1))*(X(ilev)-A(ilev)*Y(ilev))
|
|
|
|
|
!
|
|
|
|
|
! ENDDO
|
|
|
|
|
! ENDDO
|
|
|
|
|
!
|
|
|
|
|
! 6. Yext = beta*Yext + alpha*Y(1)
|
|
|
|
|
! 5. Yext = beta*Yext + alpha*Y(1)
|
|
|
|
|
!
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
@ -894,55 +883,30 @@ contains
|
|
|
|
|
!
|
|
|
|
|
! Copy the input vector X
|
|
|
|
|
!
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' desc_data status',allocated(desc_data%matrix_data)
|
|
|
|
|
|
|
|
|
|
n_col = psb_cd_get_local_cols(desc_data)
|
|
|
|
|
nc2l = psb_cd_get_local_cols(baseprecv(1)%desc_data)
|
|
|
|
|
|
|
|
|
|
allocate(mlprec_wrk(1)%x2l(nc2l),mlprec_wrk(1)%y2l(nc2l), &
|
|
|
|
|
& mlprec_wrk(1)%tx(nc2l), stat=info)
|
|
|
|
|
if (info /= 0) then
|
|
|
|
|
info=4025
|
|
|
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
|
|
|
& a_err='real(kind(1.d0))')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
mlprec_wrk(1)%x2l(:) = zzero
|
|
|
|
|
mlprec_wrk(1)%y2l(:) = zzero
|
|
|
|
|
mlprec_wrk(1)%x2l(:) = x
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 2
|
|
|
|
|
!
|
|
|
|
|
! Apply the base preconditioner at the finest level
|
|
|
|
|
!
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(1),mlprec_wrk(1)%x2l,&
|
|
|
|
|
& zzero,mlprec_wrk(1)%y2l,&
|
|
|
|
|
& baseprecv(1)%base_desc,&
|
|
|
|
|
& trans,work,info)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4010,name,a_err=' baseprec_aply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 3
|
|
|
|
|
!
|
|
|
|
|
! Compute the residual at the finest level
|
|
|
|
|
!
|
|
|
|
|
mlprec_wrk(1)%tx = mlprec_wrk(1)%x2l
|
|
|
|
|
mlprec_wrk(1)%tx(:) = zzero
|
|
|
|
|
|
|
|
|
|
call psb_spmm(-zone,baseprecv(1)%base_a,mlprec_wrk(1)%y2l,&
|
|
|
|
|
& zone,mlprec_wrk(1)%tx,baseprecv(1)%base_desc,info,work=work)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err=' fine level residual')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%tx,&
|
|
|
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
|
call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%x2l,&
|
|
|
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 4
|
|
|
|
|
! STEP 2
|
|
|
|
|
!
|
|
|
|
|
! For each level but the finest one ...
|
|
|
|
|
!
|
|
|
|
|
do ilev = 2, nlev
|
|
|
|
|
do ilev=2, nlev
|
|
|
|
|
|
|
|
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
|
|
|
|
|
n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
|
|
|
|
@ -951,8 +915,15 @@ contains
|
|
|
|
|
ismth = baseprecv(ilev)%iprcparm(mld_smooth_kind_)
|
|
|
|
|
icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name), &
|
|
|
|
|
& ' starting up sweep ',&
|
|
|
|
|
& ilev,allocated(baseprecv(ilev)%iprcparm),n_row,n_col,&
|
|
|
|
|
& nc2l, nr2l,ismth
|
|
|
|
|
|
|
|
|
|
allocate(mlprec_wrk(ilev)%tx(nc2l),mlprec_wrk(ilev)%y2l(nc2l),&
|
|
|
|
|
& mlprec_wrk(ilev)%x2l(nc2l), stat=info)
|
|
|
|
|
|
|
|
|
|
if (info /= 0) then
|
|
|
|
|
info=4025
|
|
|
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
|
|
@ -963,34 +934,36 @@ contains
|
|
|
|
|
mlprec_wrk(ilev)%x2l(:) = zzero
|
|
|
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
|
|
|
mlprec_wrk(ilev)%tx(:) = zzero
|
|
|
|
|
|
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
|
|
|
!
|
|
|
|
|
! Apply the smoothed prolongator transpose
|
|
|
|
|
!
|
|
|
|
|
call psb_halo(mlprec_wrk(ilev-1)%tx,baseprecv(ilev-1)%base_desc,&
|
|
|
|
|
& info,work=work)
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name), ' up sweep ', ilev
|
|
|
|
|
|
|
|
|
|
call psb_halo(mlprec_wrk(ilev-1)%x2l,&
|
|
|
|
|
& baseprecv(ilev-1)%base_desc,info,work=work)
|
|
|
|
|
if (info == 0) call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_t_),&
|
|
|
|
|
& mlprec_wrk(ilev-1)%tx,zzero,mlprec_wrk(ilev)%x2l,info)
|
|
|
|
|
& mlprec_wrk(ilev-1)%x2l,zzero,mlprec_wrk(ilev)%x2l,info)
|
|
|
|
|
else
|
|
|
|
|
!
|
|
|
|
|
! Apply the raw aggregation map transpose (take a shortcut)
|
|
|
|
|
!
|
|
|
|
|
mlprec_wrk(ilev)%x2l = zzero
|
|
|
|
|
do i=1,n_row
|
|
|
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
|
|
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
|
|
|
|
& mlprec_wrk(ilev-1)%tx(i)
|
|
|
|
|
& mlprec_wrk(ilev-1)%x2l(i)
|
|
|
|
|
end do
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error during restriction')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (icm ==mld_repl_mat_) then
|
|
|
|
|
if (icm == mld_repl_mat_) Then
|
|
|
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nr2l))
|
|
|
|
|
else if (icm /= mld_distr_mat_) then
|
|
|
|
|
else if (icm /= mld_distr_mat_) Then
|
|
|
|
|
info = 4013
|
|
|
|
|
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_',&
|
|
|
|
|
& i_Err=(/icm,0,0,0,0/))
|
|
|
|
@ -998,32 +971,46 @@ contains
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%x2l,&
|
|
|
|
|
& zzero,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%desc_data, 'N',work,info)
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Compute the residual (at all levels but the coarsest one)
|
|
|
|
|
! update x2l
|
|
|
|
|
!
|
|
|
|
|
if (ilev < nlev) then
|
|
|
|
|
mlprec_wrk(ilev)%tx = mlprec_wrk(ilev)%x2l
|
|
|
|
|
if (info == 0) call psb_spmm(-zone,baseprecv(ilev)%base_a,&
|
|
|
|
|
& mlprec_wrk(ilev)%y2l,zone,mlprec_wrk(ilev)%tx,&
|
|
|
|
|
& baseprecv(ilev)%base_desc,info,work=work)
|
|
|
|
|
endif
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error on up sweep residual')
|
|
|
|
|
call psb_geaxpby(zone,mlprec_wrk(ilev)%x2l,zzero,mlprec_wrk(ilev)%tx,&
|
|
|
|
|
& baseprecv(ilev)%base_desc,info)
|
|
|
|
|
if (info /= 0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error in update')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' done up sweep ', ilev
|
|
|
|
|
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 5
|
|
|
|
|
! STEP 3
|
|
|
|
|
!
|
|
|
|
|
! Apply the base preconditioner at the coarsest level
|
|
|
|
|
!
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(nlev),mlprec_wrk(nlev)%x2l, &
|
|
|
|
|
& zzero, mlprec_wrk(nlev)%y2l,baseprecv(nlev)%desc_data,'N',work,info)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4010,name,a_err='baseprec_aply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) write(debug_unit,*) &
|
|
|
|
|
& me,' ',trim(name), ' done baseprec_aply ', nlev
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 4
|
|
|
|
|
!
|
|
|
|
|
! For each level but the coarsest one ...
|
|
|
|
|
!
|
|
|
|
|
do ilev = nlev-1, 1, -1
|
|
|
|
|
do ilev=nlev-1, 1, -1
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' starting down sweep',ilev
|
|
|
|
|
|
|
|
|
|
ismth = baseprecv(ilev+1)%iprcparm(mld_smooth_kind_)
|
|
|
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev)%base_desc)
|
|
|
|
@ -1033,14 +1020,15 @@ contains
|
|
|
|
|
! Apply the smoothed prolongator
|
|
|
|
|
!
|
|
|
|
|
if (ismth == mld_smooth_prol_) &
|
|
|
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,&
|
|
|
|
|
& baseprecv(ilev+1)%desc_data,info,work=work)
|
|
|
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,baseprecv(ilev+1)%desc_data,&
|
|
|
|
|
& info,work=work)
|
|
|
|
|
if (info == 0) call psb_csmm(zone,baseprecv(ilev+1)%av(mld_sm_pr_),&
|
|
|
|
|
& mlprec_wrk(ilev+1)%y2l,zone,mlprec_wrk(ilev)%y2l,info)
|
|
|
|
|
& mlprec_wrk(ilev+1)%y2l, zzero,mlprec_wrk(ilev)%y2l,info)
|
|
|
|
|
else
|
|
|
|
|
!
|
|
|
|
|
! Apply the raw aggregation map (take a shortcut)
|
|
|
|
|
!
|
|
|
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
|
|
|
do i=1, n_row
|
|
|
|
|
mlprec_wrk(ilev)%y2l(i) = mlprec_wrk(ilev)%y2l(i) + &
|
|
|
|
|
& mlprec_wrk(ilev+1)%y2l(baseprecv(ilev+1)%mlia(i))
|
|
|
|
@ -1050,17 +1038,37 @@ contains
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error during prolongation')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Compute the residual
|
|
|
|
|
!
|
|
|
|
|
call psb_spmm(-zone,baseprecv(ilev)%base_a,mlprec_wrk(ilev)%y2l,&
|
|
|
|
|
& zone,mlprec_wrk(ilev)%tx,baseprecv(ilev)%base_desc,info,work=work)
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
if (info == 0) call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%tx,&
|
|
|
|
|
& zone,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%base_desc, trans, work,info)
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err=' spmm/baseprec_aply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
|
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
|
|
|
& ' done down sweep',ilev
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! STEP 6
|
|
|
|
|
! STEP 5
|
|
|
|
|
!
|
|
|
|
|
! Compute the output vector Y
|
|
|
|
|
!
|
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,&
|
|
|
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,baseprecv(1)%base_desc,info)
|
|
|
|
|
|
|
|
|
|
if (info /=0) then
|
|
|
|
|
call psb_errpush(4001,name,a_err='Error on final update')
|
|
|
|
|
call psb_errpush(4001,name,a_err=' Final update')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
@ -1082,20 +1090,18 @@ contains
|
|
|
|
|
return
|
|
|
|
|
end if
|
|
|
|
|
return
|
|
|
|
|
end subroutine mlt_pre_ml_aply
|
|
|
|
|
end subroutine mlt_post_ml_aply
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
subroutine mlt_twoside_ml_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
|
|
|
type(mld_zbaseprc_type), intent(in) :: baseprecv(:)
|
|
|
|
|
complex(kind(1.d0)),intent(in) :: alpha,beta
|
|
|
|
|
complex(kind(1.d0)),intent(in) :: x(:)
|
|
|
|
|
complex(kind(1.d0)),intent(inout) :: y(:)
|
|
|
|
|
character :: trans
|
|
|
|
|
character, intent(in) :: trans
|
|
|
|
|
complex(kind(1.d0)),target :: work(:)
|
|
|
|
|
integer, intent(out) :: info
|
|
|
|
|
|
|
|
|
|