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@ -135,10 +135,14 @@ subroutine amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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cz = (2*i*done-3)/(2*i*done+done)
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cz = (2*i*done-3)/(2*i*done+done)
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cr = (8*i*done-4)/((2*i*done+done)*sm%rho_ba)
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cr = (8*i*done-4)/((2*i*done+done)*sm%rho_ba)
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if (.false.) then
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! z_k = cz z_{k-1} + cr ty = cz z_{k-1} + cr Br_{k-1}
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! z_k = cz z_{k-1} + cr ty = cz z_{k-1} + cr Br_{k-1}
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call psb_geaxpby(cr,ty,cz,tz,desc_data,info)
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call psb_geaxpby(cr,ty,cz,tz,desc_data,info)
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! r_k = b-Ax_k = x -A tx
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! r_k = b-Ax_k = x -A tx
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call psb_geaxpby(done,tz,done,tx,desc_data,info)
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call psb_geaxpby(done,tz,done,tx,desc_data,info)
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else
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call psb_abgdxyz(cr,cz,done,done,ty,tz,tx,desc_data,info)
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end if
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if (.false.) then
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if (.false.) then
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call psb_spmm(-done,sm%pa,tx,done,r,desc_data,info,work=aux,trans=trans_)
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call psb_spmm(-done,sm%pa,tx,done,r,desc_data,info,work=aux,trans=trans_)
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@ -171,10 +175,14 @@ subroutine amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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cz = (2*i*done-3)/(2*i*done+done)
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cz = (2*i*done-3)/(2*i*done+done)
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cr = (8*i*done-4)/((2*i*done+done)*sm%rho_ba)
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cr = (8*i*done-4)/((2*i*done+done)*sm%rho_ba)
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if (.false.) then
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! z_k = cz z_{k-1} + cr ty = cz z_{k-1} + cr Br_{k-1}
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! z_k = cz z_{k-1} + cr ty = cz z_{k-1} + cr Br_{k-1}
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call psb_geaxpby(cr,ty,cz,tz,desc_data,info)
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call psb_geaxpby(cr,ty,cz,tz,desc_data,info)
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! r_k = b-Ax_k = x -A tx
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! r_k = b-Ax_k = x -A tx
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call psb_geaxpby(sm%poly_beta(i),tz,done,tx,desc_data,info)
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call psb_geaxpby(sm%poly_beta(i),tz,done,tx,desc_data,info)
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else
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call psb_abgdxyz(cr,cz,sm%poly_beta(i),done,ty,tz,tx,desc_data,info)
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end if
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if (.false.) then
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if (.false.) then
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call psb_spmm(-done,sm%pa,tx,done,r,desc_data,info,work=aux,trans=trans_)
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call psb_spmm(-done,sm%pa,tx,done,r,desc_data,info,work=aux,trans=trans_)
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@ -193,7 +201,7 @@ subroutine amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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! b == x
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! b == x
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! x == tx
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! x == tx
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!
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!
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sm%cf_a = amg_d_poly_a_vect(sm%pdegree)
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theta = (done+sm%cf_a)/2
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theta = (done+sm%cf_a)/2
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delta = (done-sm%cf_a)/2
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delta = (done-sm%cf_a)/2
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@ -201,11 +209,16 @@ subroutine amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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rho_old = done/sigma
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rho_old = done/sigma
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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call psb_geaxpby((done/sm%rho_ba),ty,dzero,r,desc_data,info)
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call psb_geaxpby((done/sm%rho_ba),ty,dzero,r,desc_data,info)
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if (.false.) then
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call psb_geaxpby((done/theta),r,dzero,tz,desc_data,info)
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call psb_geaxpby((done/theta),r,dzero,tz,desc_data,info)
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call psb_geaxpby(done,tz,done,tx,desc_data,info)
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else
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call psb_abgdxyz((done/theta),dzero,done,done,r,tz,tx,desc_data,info)
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end if
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! tz == d
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! tz == d
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do i=1, sm%pdegree
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do i=1, sm%pdegree
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! x_{k+1} = x_k + d_k
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!
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call psb_geaxpby(done,tz,done,tx,desc_data,info)
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!
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!
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! r_{k-1} = r_k - (1/rho(BA)) B A d_k
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! r_{k-1} = r_k - (1/rho(BA)) B A d_k
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call psb_spmm(done,sm%pa,tz,dzero,ty,desc_data,info,work=aux,trans=trans_)
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call psb_spmm(done,sm%pa,tz,dzero,ty,desc_data,info,work=aux,trans=trans_)
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@ -214,9 +227,14 @@ subroutine amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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!
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!
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! d_{k+1} = (rho rho_old) d_k + 2(rho/delta) r_{k+1}
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! d_{k+1} = (rho rho_old) d_k + 2(rho/delta) r_{k+1}
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rho = done/(2*sigma - rho_old)
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rho = done/(2*sigma - rho_old)
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if (.false.) then
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call psb_geaxpby((2*rho/delta),r,(rho*rho_old),tz,desc_data,info)
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call psb_geaxpby((2*rho/delta),r,(rho*rho_old),tz,desc_data,info)
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call psb_geaxpby(done,tz,done,tx,desc_data,info)
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else
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call psb_abgdxyz((2*rho/delta),(rho*rho_old),done,done,r,tz,tx,desc_data,info)
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end if
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ write(0,*) 'Polynomial smoother NEW ',i,res
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!!$ write(0,*) 'Polynomial smoother ',i,res
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! x_k = x_{k-1} + z_k
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! x_k = x_{k-1} + z_k
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end do
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end do
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end block
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end block
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@ -239,10 +257,205 @@ subroutine amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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end if
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end if
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end associate
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end associate
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!!$ if ((.not.sm%sv%is_iterative()).and.((sweeps == 1).or.(sm%nd_nnz_tot==0))) then
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!!$ ! if .not.sv%is_iterative, there's no need to pass init
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!!$ call sm%sv%apply(alpha,x,beta,y,desc_data,trans_,aux,wv,info)
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!!$
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!!$ if (info /= psb_success_) then
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!!$ call psb_errpush(psb_err_internal_error_,&
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!!$ & name,a_err='Error in sub_aply Jacobi Sweeps = 1')
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!!$ goto 9999
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!!$ endif
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!!$
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!!$ else if (sweeps >= 0) then
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!!$ select type (smsv => sm%sv)
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!!$ class is (amg_d_diag_solver_type)
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!!$ !
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!!$ ! This means we are dealing with a pure Jacobi smoother/solver.
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!!$ !
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!!$ associate(tx => wv(1), ty => wv(2))
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!!$ select case (init_)
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!!$ case('Z')
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!!$
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!!$ call sm%sv%apply(done,x,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Z')
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!!$
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!!$ case('Y')
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,y,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case('U')
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!!$ if (.not.present(initu)) then
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='missing initu to smoother_apply')
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!!$ goto 9999
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!!$ end if
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,initu,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case default
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='wrong init to smoother_apply')
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!!$ goto 9999
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!!$ end select
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!!$
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!!$ do i=1, sweeps-1
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!!$ !
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!!$ ! Compute Y(j+1) = Y(j)+ D^(-1)*(X-A*Y(j)),
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!!$ ! where is the diagonal and A the matrix.
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!!$ !
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$
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!!$ if (info /= psb_success_) exit
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!!$
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!!$ call sm%sv%apply(done,tx,done,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ if (info /= psb_success_) exit
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!!$
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!!$ if ( sm%checkres.and.(mod(i,sm%checkiter) == 0) ) then
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!!$ call psb_geaxpby(done,x,dzero,r,r,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,r,desc_data,info)
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ if( sm%printres ) then
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!!$ call log_conv("BJAC",me,i,sm%printiter,res,resdenum,sm%tol)
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!!$ end if
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!!$ if ( res < sm%tol*resdenum ) then
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!!$ if( (sm%printres).and.(mod(sm%printiter,sm%checkiter)/=0) ) &
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!!$ & call log_conv("BJAC",me,i,1,res,resdenum,sm%tol)
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!!$ exit
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!!$ end if
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!!$ end if
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!!$
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!!$ end do
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!!$
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!!$
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!!$ if (info == psb_success_) call psb_geaxpby(alpha,ty,beta,y,desc_data,info)
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!!$
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!!$ if (info /= psb_success_) then
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!!$ info=psb_err_internal_error_
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!!$ call psb_errpush(info,name,&
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!!$ & a_err='subsolve with Jacobi sweeps > 1')
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!!$ goto 9999
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!!$ end if
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!!$
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!!$
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!!$ end associate
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!!$
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!!$ class default
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!!$ !
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!!$ !
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!!$ ! Apply multiple sweeps of a block-Jacobi solver
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!!$ ! to compute an approximate solution of a linear system.
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!!$ !
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!!$ !
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!!$ if (size(wv) < 2) then
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!!$ info = psb_err_internal_error_
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!!$ call psb_errpush(info,name,&
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!!$ & a_err='invalid wv size in smoother_apply')
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!!$ goto 9999
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!!$ end if
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!!$ associate(tx => wv(1), ty => wv(2))
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!!$
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!!$ !
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!!$ ! Unroll the first iteration and fold it inside SELECT CASE
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!!$ ! this will save one AXPBY and one SPMM when INIT=Z, and will be
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!!$ ! significant when sweeps=1 (a common case)
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!!$ !
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!!$ select case (init_)
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!!$ case('Z')
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!!$
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!!$ call sm%sv%apply(done,x,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Z')
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!!$
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!!$ case('Y')
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,y,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%nd,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case('U')
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!!$ if (.not.present(initu)) then
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='missing initu to smoother_apply')
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!!$ goto 9999
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!!$ end if
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,initu,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%nd,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case default
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='wrong init to smoother_apply')
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!!$ goto 9999
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!!$ end select
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!!$
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!!$ do i=1, sweeps-1
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!!$ !
|
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|
!!$ ! Compute Y(j+1) = D^(-1)*(X-ND*Y(j)), where D and ND are the
|
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|
|
!!$ ! block diagonal part and the remaining part of the local matrix
|
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|
!!$ ! and Y(j) is the approximate solution at sweep j.
|
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|
|
!!$ !
|
|
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|
|
|
|
!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
|
|
|
|
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|
|
!!$ call psb_spmm(-done,sm%nd,ty,done,tx,desc_data,info,work=aux,trans=trans_)
|
|
|
|
|
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|
|
!!$
|
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|
!!$ if (info /= psb_success_) exit
|
|
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|
|
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|
|
!!$
|
|
|
|
|
|
|
|
!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ if (info /= psb_success_) exit
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ if ( sm%checkres.and.(mod(i,sm%checkiter) == 0) ) then
|
|
|
|
|
|
|
|
!!$ call psb_geaxpby(done,x,dzero,r,r,desc_data,info)
|
|
|
|
|
|
|
|
!!$ call psb_spmm(-done,sm%pa,ty,done,r,desc_data,info)
|
|
|
|
|
|
|
|
!!$ res = psb_genrm2(r,desc_data,info)
|
|
|
|
|
|
|
|
!!$ if( sm%printres ) then
|
|
|
|
|
|
|
|
!!$ call log_conv("BJAC",me,i,sm%printiter,res,resdenum,sm%tol)
|
|
|
|
|
|
|
|
!!$ end if
|
|
|
|
|
|
|
|
!!$ if (res < sm%tol*resdenum ) then
|
|
|
|
|
|
|
|
!!$ if( (sm%printres).and.( mod(sm%printiter,sm%checkiter) /=0 ) ) &
|
|
|
|
|
|
|
|
!!$ & call log_conv("BJAC",me,i,1,res,resdenum,sm%tol)
|
|
|
|
|
|
|
|
!!$ exit
|
|
|
|
|
|
|
|
!!$ end if
|
|
|
|
|
|
|
|
!!$ end if
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ end do
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ if (info == psb_success_) call psb_geaxpby(alpha,ty,beta,y,desc_data,info)
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ if (info /= psb_success_) then
|
|
|
|
|
|
|
|
!!$ info=psb_err_internal_error_
|
|
|
|
|
|
|
|
!!$ call psb_errpush(info,name,&
|
|
|
|
|
|
|
|
!!$ & a_err='subsolve with Jacobi sweeps > 1')
|
|
|
|
|
|
|
|
!!$ goto 9999
|
|
|
|
|
|
|
|
!!$ end if
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ end associate
|
|
|
|
|
|
|
|
!!$ end select
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ else
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ info = psb_err_iarg_neg_
|
|
|
|
|
|
|
|
!!$ call psb_errpush(info,name,&
|
|
|
|
|
|
|
|
!!$ & i_err=(/itwo,sweeps,izero,izero,izero/))
|
|
|
|
|
|
|
|
!!$ goto 9999
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
!!$ endif
|
|
|
|
|
|
|
|
!!$
|
|
|
|
if (.not.(4*n_col <= size(work))) then
|
|
|
|
if (.not.(4*n_col <= size(work))) then
|
|
|
|
deallocate(aux)
|
|
|
|
deallocate(aux)
|
|
|
|
endif
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
!!$ if(sm%checkres) then
|
|
|
|
|
|
|
|
!!$ call psb_gefree(r,desc_data,info)
|
|
|
|
|
|
|
|
!!$ end if
|
|
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
return
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
|
|