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1678 lines
54 KiB
Fortran
1678 lines
54 KiB
Fortran
!
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!
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! MLD2P4 version 2.1
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! MultiLevel Domain Decomposition Parallel Preconditioners Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.5)
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!
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! (C) Copyright 2008, 2010, 2012, 2015, 2017
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!
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! Salvatore Filippone Cranfield University, UK
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! Pasqua D'Ambra IAC-CNR, Naples, IT
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! Daniela di Serafino University of Campania "L. Vanvitelli", Caserta, IT
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions
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! are met:
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! 1. Redistributions of source code must retain the above copyright
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! notice, this list of conditions and the following disclaimer.
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! 2. Redistributions in binary form must reproduce the above copyright
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! notice, this list of conditions, and the following disclaimer in the
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! documentation and/or other materials provided with the distribution.
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! 3. The name of the MLD2P4 group or the names of its contributors may
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! not be used to endorse or promote products derived from this
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! software without specific written permission.
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!
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! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
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! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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! POSSIBILITY OF SUCH DAMAGE.
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!
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!
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! File: mld_zmlprec_aply.f90
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!
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! Subroutine: mld_zmlprec_aply
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! Version: real
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!
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! Current version of this file contributed by:
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! Ambra Abdullahi Hassan University of Rome Tor Vergata, IT
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!
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!
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! This routine computes
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!
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! Y = beta*Y + alpha*op(ML^(-1))*X,
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! where
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! - ML is a multilevel preconditioner associated with
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! a certain matrix A and stored in p,
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! - op(ML^(-1)) is ML^(-1) or its transpose, according to the value of trans,
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! - X and Y are vectors,
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! - alpha and beta are scalars.
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!
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! The following multilevel strategies can be applied:
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!
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! - Additive multilevel Schwarz,
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! - classical V-cycle,
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! - classical W-cycle,
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! - K-cycle both for symmetric and nonsymmetric matrices, where 2 iterations
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! of FCG(1) or GCR, respectively, are applied at each level
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! except the coarsest.
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!
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! For each level we have as many submatrices as processes (except for the coarsest
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! level where we might have a replicated index space) and each process takes care
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! of one submatrix.
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!
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! A multilevel preconditioner is regarded as an array of 'one-level' data structures,
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! each containing the part of the preconditioner associated to a certain level
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! (for more details see the description of mld_Tonelev_type in mld_prec_type.f90).
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! For each level lev, there is a smoother stored in
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! p%precv(lev)%sm
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! which in turn contains a solver
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! p$precv(lev)%sm%sv
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! Typically the solver acts only locally, and the smoother applies any required
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! parallel communication/action.
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! Each level has a matrix A(lev), obtained by 'tranferring' the original
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! matrix A (i.e. the matrix to be preconditioned) to the level lev, through smoothed
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! aggregation.
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!
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! The levels are numbered in increasing order starting from the finest one, i.e.
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! level 1 is the finest level and A(1) is the matrix A.
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!
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! This routine is formulated in a recursive way, so it is quite compact.
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!
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! The V-cycle can be described as follows, where
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! P(lev) denotes the smoothed prolongator from level lev to level
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! lev-1, while R(lev) denotes the corresponding restriction operator
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! (normally its transpose) from level lev-1 to level lev.
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! M(lev) is the smoother at the current level.
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!
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!
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! 1. Transfer the outer vector Xest to u(1) (inner X at level 1)
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!
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! 2. Invoke V-cycle(1,M,P,R,A,b,u)
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!
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! procedure V-cycle(lev,M,P,R,A,b,u)
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!
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! if (lev < nlev) then
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!
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! u(lev) = u(lev) + M(lev)*(b(lev)-A(lev)*u(lev))
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!
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! b(lev+1) = R(lev+1)*(b(lev)-A(lev)*u(lev))
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!
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! u(lev+1) = V-cycle(lev+1,M,P,R,A,b,u)
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!
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! u(lev) = u(lev) + P(lev+1) * u(lev+1)
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!
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! u(lev) = u(lev) + M(lev)*(b(lev)-A(lev)*u(lev))
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!
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! else
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!
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! solve A(lev)*u(lev) = b(lev)
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!
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! end if
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!
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! return u(lev)
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! end
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!
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! 3. Transfer u(1) to the external:
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! Yext = beta*Yext + alpha*u(1)
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!
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!
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! In the implementation, the recursive procedure is inner_ml_aply, which
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! in turn uses mld_inner_add (for additive multilevel),
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! mld_inner_mult (for V-cycle and W-cycle), and
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! mld_inner_k_cycle (for symmetric and non-symmetric K-cycle).
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!
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! For a detailed description of the algorithms, see:
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!
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! - B.F. Smith, P.E. Bjorstad, W.D. Gropp,
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! Domain decomposition: parallel multilevel methods for elliptic partial
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! differential equations, Cambridge University Press, 1996.
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!
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! - W. L. Briggs, V. E. Henson, S. F. McCormick,
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! A Multigrid Tutorial, Second Edition
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! SIAM, 2000.
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!
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! - K. Stuben,
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! An Introduction to Algebraic Multigrid,
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! in A. Schuller, U. Trottenberg, C. Oosterlee, Multigrid, Academic Press, 2001.
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!
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! - Y. Notay, P. S. Vassilevski,
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! Recursive Krylov-based multigrid cycles
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! Numerical Linear Algebra with Applications, 15 (5), 2008, 473--487.
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!
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!
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! Arguments:
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! alpha - complex(psb_dpk_), input.
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! The scalar alpha.
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! p - type(mld_zprec_type), input.
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! The multilevel preconditioner data structure containing the
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! local part of the preconditioner to be applied.
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! Note that nlev = size(p%precv) = number of levels.
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! p%precv(lev)%sm - type(psb_zbaseprec_type)
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! The 'smoother' for the current level
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! p%precv(lev)%ac - type(psb_zspmat_type)
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! The local part of the matrix A(lev).
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! p%precv(lev)%parms - type(psb_dml_parms)
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! Parameters controllin the multilevel prec.
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! p%precv(lev)%desc_ac - type(psb_desc_type).
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! The communication descriptor associated to the sparse
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! matrix A(lev)
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! p%precv(lev)%map - type(psb_inter_desc_type)
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! Stores the linear operators mapping level (lev-1)
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! to (lev) and vice versa. These are the restriction
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! and prolongation operators described in the sequel.
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! p%precv(lev)%base_a - type(psb_zspmat_type), pointer.
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! Pointer (really a pointer!) to the base matrix of
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! the current level, i.e. the local part of A(lev);
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! so we have a unified treatment of residuals. We
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! need this to avoid passing explicitly the matrix
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! A(lev) to the routine which applies the
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! preconditioner.
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! p%precv(lev)%base_desc - type(psb_desc_type), pointer.
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! Pointer to the communication descriptor associated
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! to the sparse matrix pointed by base_a.
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!
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! x - complex(psb_dpk_), dimension(:), input.
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! The local part of the vector X.
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! beta - complex(psb_dpk_), input.
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! The scalar beta.
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! y - complex(psb_dpk_), dimension(:), input/output.
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! The local part of the vector Y.
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! desc_data - type(psb_desc_type), input.
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! The communication descriptor associated to the matrix to be
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! preconditioned.
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! trans - character, optional.
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! If trans='N','n' then op(M^(-1)) = M^(-1);
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! if trans='T','t' then op(M^(-1)) = M^(-T) (transpose of M^(-1)).
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! work - complex(psb_dpk_), dimension (:), optional, target.
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! Workspace. Its size must be at least 4*desc_data%get_local_cols().
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! info - integer, output.
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! Error code.
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!
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! Note that when the LU factorization of the matrix A(lev) is computed instead of
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! the ILU one, by using UMFPACK or SuperLU or MUMPS, the corresponding
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! L and U factors are stored in data structures handled
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! by the third party software.
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!
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subroutine mld_zmlprec_aply_vect(alpha,p,x,beta,y,desc_data,trans,work,info)
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use psb_base_mod
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use mld_base_prec_type
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use mld_z_inner_mod, mld_protect_name => mld_zmlprec_aply_vect
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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_zprec_type), intent(inout) :: p
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complex(psb_dpk_),intent(in) :: alpha,beta
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type(psb_z_vect_type),intent(inout) :: x
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type(psb_z_vect_type),intent(inout) :: y
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character, intent(in) :: trans
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complex(psb_dpk_),target :: work(:)
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integer(psb_ipk_), intent(out) :: info
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! Local variables
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integer(psb_ipk_) :: ictxt, np, me
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integer(psb_ipk_) :: debug_level, debug_unit
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integer(psb_ipk_) :: nlev,nc2l, level, isweep, err_act
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character(len=20) :: name
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character :: trans_
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complex(psb_dpk_) :: beta_
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logical :: do_alloc_wrk
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type(mld_zmlprec_wrk_type), allocatable, target :: mlprec_wrk(:)
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name='mld_zmlprec_aply'
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info = psb_success_
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call psb_erractionsave(err_act)
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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ictxt = desc_data%get_context()
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call psb_info(ictxt, me, np)
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if (debug_level >= psb_debug_inner_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Entry ', size(p%precv)
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trans_ = psb_toupper(trans)
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nlev = size(p%precv)
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do_alloc_wrk = .not.allocated(p%wrk)
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if (do_alloc_wrk) call p%allocate_wrk(info,vmold=x%v)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
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goto 9999
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end if
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!
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! At first iteration we must use the input BETA
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!
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beta_ = beta
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level = 1
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call psb_geaxpby(zone,x,zzero,p%wrk(level)%vx2l,p%precv(level)%base_desc,info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='geaxbpy')
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goto 9999
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end if
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do isweep = 1, p%outer_sweeps - 1
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!
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! With the current implementation, y2l is zeroed internally at first smoother.
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! call p%wrk(level)%vy2l%zero()
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!
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call inner_ml_aply(level,p,trans_,work,info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,&
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& a_err='Inner prec aply')
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goto 9999
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end if
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call psb_geaxpby(alpha,p%wrk(level)%vy2l,beta_,y,&
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& p%precv(level)%base_desc,info)
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! all iterations after the first must use BETA = 1
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beta_ = zone
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!
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! Next iteration should use the current residual to compute a correction
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!
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call psb_geaxpby(zone,x,zzero,p%wrk(level)%vx2l,&
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& p%precv(level)%base_desc,info)
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call psb_spmm(-zone,p%precv(level)%base_a,y,&
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& zone,p%wrk(level)%vx2l,p%precv(level)%base_desc,info)
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end do
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!
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! If outer_sweeps == 1 we have just skipped the loop, and it's
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! equivalent to a single application.
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!
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!
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! With the current implementation, y2l is zeroed internally at first smoother.
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! call p%wrk(level)%vy2l%zero()
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!
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call inner_ml_aply(level,p,trans_,work,info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,&
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& a_err='Inner prec aply')
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goto 9999
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end if
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call psb_geaxpby(alpha,p%wrk(level)%vy2l,beta_,y,&
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& p%precv(level)%base_desc,info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,&
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& a_err='Error final update')
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goto 9999
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end if
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if (do_alloc_wrk) call p%free_wrk(info)
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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contains
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!
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!
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! inner_ml_aply: apply AMG at a given level.
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! This routine dispatches the computation according to the type
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! specified at the current level.
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! Each of the corrections will inturn call recursively this routine.
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!
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! Assumptions:
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! On input:
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! mlprec_wkr(level)%vx2l contains the input vector (RHS)
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! mlprec_wkr(level)%vy2l contains the initial guess
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!
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! On output:
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! mlprec_wkr(level)%vy2l contains the solution
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!
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! Constraints: each of the called routines must properly handle
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! the input/output conditions for level+1 (i.e. apply
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! prolongation/restriction).
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! Note: for historical/convenience reasons the prolongator/restrictor
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! between level and level+1 are stored at level+1.
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!
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!
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recursive subroutine inner_ml_aply(level,p,trans,work,info)
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implicit none
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! Arguments
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integer(psb_ipk_) :: level
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type(mld_zprec_type), target, intent(inout) :: p
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character, intent(in) :: trans
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complex(psb_dpk_),target :: work(:)
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integer(psb_ipk_), intent(out) :: info
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|
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type(psb_z_vect_type) :: res
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type(psb_z_vect_type), pointer :: current
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integer(psb_ipk_) :: sweeps_post, sweeps_pre
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! Local variables
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integer(psb_ipk_) :: ictxt,np,me
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integer(psb_ipk_) :: i, err_act
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integer(psb_ipk_) :: debug_level, debug_unit
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integer(psb_ipk_) :: nlev, ilev, sweeps
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logical :: pre, post
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character(len=20) :: name
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|
|
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|
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name = 'inner_ml_aply'
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info = psb_success_
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call psb_erractionsave(err_act)
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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nlev = size(p%precv)
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if ((level < 1) .or. (level > nlev)) then
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call psb_errpush(psb_err_internal_error_,name,&
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& a_err='wrong call level to inner_ml')
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goto 9999
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end if
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ictxt = p%precv(level)%base_desc%get_context()
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call psb_info(ictxt, me, np)
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|
|
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if(debug_level > 1) then
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write(debug_unit,*) me,' Start inner_ml_aply at level ',level, info
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end if
|
|
|
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select case(p%precv(level)%parms%ml_cycle)
|
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|
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case(mld_no_ml_)
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!
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! No preconditioning, should not really get here
|
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!
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call psb_errpush(psb_err_internal_error_,name,&
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& a_err='mld_no_ml_ in mlprc_aply?')
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goto 9999
|
|
|
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case(mld_add_ml_)
|
|
|
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call mld_z_inner_add(p, level, trans, work)
|
|
|
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case(mld_mult_ml_,mld_vcycle_ml_, mld_wcycle_ml_)
|
|
|
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call mld_z_inner_mult(p, level, trans, work)
|
|
|
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case(mld_kcycle_ml_, mld_kcyclesym_ml_)
|
|
|
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call mld_z_inner_k_cycle(p, level, trans, work)
|
|
|
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case default
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info = psb_err_from_subroutine_ai_
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call psb_errpush(info,name,a_err='invalid ml_cycle',&
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& i_Err=(/p%precv(level)%parms%ml_cycle,izero,izero,izero,izero/))
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goto 9999
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|
|
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end select
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if(debug_level > 1) then
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write(debug_unit,*) me,' End inner_ml_aply at level ',level
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end if
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|
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call psb_erractionrestore(err_act)
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return
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|
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9999 call psb_error_handler(err_act)
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return
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|
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end subroutine inner_ml_aply
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|
|
|
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recursive subroutine mld_z_inner_add(p, level, trans, work)
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use psb_base_mod
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use mld_prec_mod
|
|
|
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implicit none
|
|
|
|
!Input/Oputput variables
|
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type(mld_zprec_type), intent(inout) :: p
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|
|
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integer(psb_ipk_), intent(in) :: level
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character, intent(in) :: trans
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complex(psb_dpk_),target :: work(:)
|
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type(psb_z_vect_type) :: res
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type(psb_z_vect_type), pointer :: current
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integer(psb_ipk_) :: sweeps_post, sweeps_pre
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! Local variables
|
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integer(psb_ipk_) :: ictxt,np,me
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integer(psb_ipk_) :: i, err_act, k
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integer(psb_ipk_) :: debug_level, debug_unit
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integer(psb_ipk_) :: nlev, ilev, sweeps
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logical :: pre, post
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character(len=20) :: name
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|
|
|
|
|
|
|
name = 'inner_inner_add'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
nlev = size(p%precv)
|
|
if ((level < 1) .or. (level > nlev)) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='wrong call level to inner_add')
|
|
goto 9999
|
|
end if
|
|
ictxt = p%precv(level)%base_desc%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if(debug_level > 1) then
|
|
write(debug_unit,*) me,' inner_add at level ',level
|
|
end if
|
|
|
|
if ((level<1).or.(level>nlev)) then
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,&
|
|
& a_err='Invalid LEVEL>NLEV')
|
|
goto 9999
|
|
end if
|
|
|
|
if (allocated(p%precv(level)%sm2a)) then
|
|
call psb_geaxpby(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc,info)
|
|
|
|
sweeps = max(p%precv(level)%parms%sweeps_pre,p%precv(level)%parms%sweeps_post)
|
|
do k=1, sweeps
|
|
call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vy2l,zzero,p%wrk(level)%vtx,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& ione,work,info,init='Z')
|
|
|
|
call p%precv(level)%sm2a%apply(zone,&
|
|
& p%wrk(level)%vtx,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& ione,work,info,init='Z')
|
|
end do
|
|
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
end if
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during ADD smoother_apply')
|
|
goto 9999
|
|
end if
|
|
|
|
if (level < nlev) then
|
|
! Apply the restriction
|
|
call psb_map_X2Y(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level+1)%vx2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
|
|
call inner_ml_aply(level+1,p,trans,work,info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error in recursive call')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Apply the prolongator
|
|
!
|
|
call psb_map_Y2X(zone,p%wrk(level+1)%vy2l,&
|
|
& zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during prolongation')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
|
|
end subroutine mld_z_inner_add
|
|
|
|
recursive subroutine mld_z_inner_mult(p, level, trans, work)
|
|
use psb_base_mod
|
|
use mld_prec_mod
|
|
|
|
implicit none
|
|
|
|
!Input/Oputput variables
|
|
type(mld_zprec_type), intent(inout) :: p
|
|
|
|
integer(psb_ipk_), intent(in) :: level
|
|
character, intent(in) :: trans
|
|
complex(psb_dpk_),target :: work(:)
|
|
type(psb_z_vect_type) :: res
|
|
type(psb_z_vect_type), pointer :: current
|
|
integer(psb_ipk_) :: sweeps_post, sweeps_pre
|
|
! Local variables
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
integer(psb_ipk_) :: i, err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: nlev, ilev, sweeps
|
|
logical :: pre, post
|
|
character(len=20) :: name
|
|
|
|
name = 'inner_inner_mult'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
nlev = size(p%precv)
|
|
if ((level < 1) .or. (level > nlev)) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='wrong call level to inner_mult')
|
|
goto 9999
|
|
end if
|
|
ictxt = p%precv(level)%base_desc%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if(debug_level > 1) then
|
|
write(debug_unit,*) me,' inner_mult at level ',level
|
|
end if
|
|
|
|
sweeps_post = p%precv(level)%parms%sweeps_post
|
|
sweeps_pre = p%precv(level)%parms%sweeps_pre
|
|
pre = ((sweeps_pre>0).and.(trans=='N')).or.((sweeps_post>0).and.(trans/='N'))
|
|
post = ((sweeps_post>0).and.(trans=='N')).or.((sweeps_pre>0).and.(trans/='N'))
|
|
|
|
if (level < nlev) then
|
|
!
|
|
! Apply the first smoother
|
|
! The residual has been prepared before the recursive call.
|
|
!
|
|
|
|
if (pre) then
|
|
if (trans == 'N') then
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_post
|
|
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
end if
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during PRE smoother_apply')
|
|
goto 9999
|
|
end if
|
|
endif
|
|
!
|
|
! Compute the residual and call recursively
|
|
!
|
|
if (pre) then
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info)
|
|
|
|
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
|
|
& p%wrk(level)%vy2l,zone,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info,work=work,trans=trans)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
call psb_map_X2Y(zone,p%wrk(level)%vty,&
|
|
& zzero,p%wrk(level+1)%vx2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
else
|
|
! Shortcut: just transfer x2l.
|
|
call psb_map_X2Y(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level+1)%vx2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
call inner_ml_aply(level+1,p,trans,work,info)
|
|
|
|
!
|
|
! Apply the prolongator
|
|
!
|
|
call psb_map_Y2X(zone,p%wrk(level+1)%vy2l,&
|
|
& zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during prolongation')
|
|
goto 9999
|
|
end if
|
|
|
|
if (p%precv(level)%parms%ml_cycle == mld_wcycle_ml_) then
|
|
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info)
|
|
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
|
|
& p%wrk(level)%vy2l,zone,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info,work=work,trans=trans)
|
|
if (info == psb_success_) call psb_map_X2Y(zone,p%wrk(level)%vty,&
|
|
& zzero,p%wrk(level+1)%vx2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during W-cycle restriction')
|
|
goto 9999
|
|
end if
|
|
|
|
call inner_ml_aply(level+1,p,trans,work,info)
|
|
|
|
if (info == psb_success_) call psb_map_Y2X(zone,p%wrk(level+1)%vy2l,&
|
|
& zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during W recusion/prolongation')
|
|
goto 9999
|
|
end if
|
|
|
|
endif
|
|
|
|
|
|
if (post) then
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info)
|
|
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
|
|
& p%wrk(level)%vy2l,&
|
|
& zone,p%wrk(level)%vty,p%precv(level)%base_desc,info,&
|
|
& work=work,trans=trans)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Apply the second smoother
|
|
!
|
|
if (trans == 'N') then
|
|
sweeps = p%precv(level)%parms%sweeps_post
|
|
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
|
|
& p%wrk(level)%vty,zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vty,zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
end if
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during POST smoother_apply')
|
|
goto 9999
|
|
end if
|
|
|
|
endif
|
|
|
|
else if (level == nlev) then
|
|
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info)
|
|
|
|
else
|
|
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,&
|
|
& a_err='Invalid LEVEL vs NLEV')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
|
|
end subroutine mld_z_inner_mult
|
|
|
|
recursive subroutine mld_z_inner_k_cycle(p, level, trans, work,u)
|
|
use psb_base_mod
|
|
use mld_prec_mod
|
|
|
|
implicit none
|
|
|
|
!Input/Oputput variables
|
|
type(mld_zprec_type), intent(inout) :: p
|
|
integer(psb_ipk_), intent(in) :: level
|
|
character, intent(in) :: trans
|
|
complex(psb_dpk_),target :: work(:)
|
|
type(psb_z_vect_type),intent(inout), optional :: u
|
|
|
|
|
|
|
|
type(psb_z_vect_type) :: res
|
|
type(psb_z_vect_type), pointer :: current
|
|
integer(psb_ipk_) :: sweeps_post, sweeps_pre
|
|
! Local variables
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
integer(psb_ipk_) :: i, err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: nlev, ilev, sweeps
|
|
logical :: pre, post
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
name = 'inner_kcycle'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
nlev = size(p%precv)
|
|
if ((level < 1) .or. (level > nlev)) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='wrong call level to inner_add')
|
|
goto 9999
|
|
end if
|
|
ictxt = p%precv(level)%base_desc%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if(debug_level > 1) then
|
|
write(debug_unit,*) me,name,' start at level ',level
|
|
end if
|
|
|
|
if ((level<1).or.(level>nlev)) then
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,&
|
|
& a_err='Invalid LEVEL>NLEV')
|
|
goto 9999
|
|
end if
|
|
|
|
!K cycle
|
|
|
|
if (level == nlev) then
|
|
!
|
|
! Apply smoother
|
|
!
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
|
|
else if (level < nlev) then
|
|
|
|
if (trans == 'N') then
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_post
|
|
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
|
|
& p%wrk(level)%vx2l,zzero,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
end if
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during 2-PRE smoother_apply')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
!
|
|
! Compute the residual and call recursively
|
|
!
|
|
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info)
|
|
|
|
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
|
|
& p%wrk(level)%vy2l,zone,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info,work=work,trans=trans)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
|
|
! Apply the restriction
|
|
call psb_map_X2Y(zone,p%wrk(level)%vty,&
|
|
& zzero,p%wrk(level + 1)%vx2l,&
|
|
& p%precv(level + 1)%map,info,work=work)
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
|
|
!Set the preconditioner
|
|
|
|
if (level <= nlev - 2 ) then
|
|
if (p%precv(level)%parms%ml_cycle == mld_kcyclesym_ml_) then
|
|
call mld_zinneritkcycle(p, level + 1, trans, work, 'FCG')
|
|
elseif (p%precv(level)%parms%ml_cycle == mld_kcycle_ml_) then
|
|
call mld_zinneritkcycle(p, level + 1, trans, work, 'GCR')
|
|
else
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Bad value for ml_cycle')
|
|
goto 9999
|
|
endif
|
|
else
|
|
call inner_ml_aply(level + 1 ,p,trans,work,info)
|
|
endif
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error in recursive call')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Apply the prolongator
|
|
!
|
|
call psb_map_Y2X(zone,p%wrk(level+1)%vy2l,&
|
|
& zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during prolongation')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Compute the residual
|
|
!
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,&
|
|
& zzero,p%wrk(level)%vty,&
|
|
& p%precv(level)%base_desc,info)
|
|
call psb_spmm(-zone,p%precv(level)%base_a,p%wrk(level)%vy2l,&
|
|
& zone,p%wrk(level)%vty,p%precv(level)%base_desc,info,&
|
|
& work=work,trans=trans)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
!
|
|
! Apply the smoother
|
|
!
|
|
if (trans == 'N') then
|
|
sweeps = p%precv(level)%parms%sweeps_post
|
|
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
|
|
& p%wrk(level)%vty,zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& p%wrk(level)%vty,zone,p%wrk(level)%vy2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
end if
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during POST smoother_apply')
|
|
goto 9999
|
|
end if
|
|
else
|
|
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,&
|
|
& a_err='Invalid LEVEL vs NLEV')
|
|
goto 9999
|
|
|
|
endif
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
|
|
end subroutine mld_z_inner_k_cycle
|
|
|
|
|
|
recursive subroutine mld_zinneritkcycle(p, level, trans, work, innersolv)
|
|
use psb_base_mod
|
|
use mld_prec_mod
|
|
use mld_z_inner_mod, mld_protect_name => mld_zmlprec_aply
|
|
|
|
implicit none
|
|
|
|
!Input/Oputput variables
|
|
type(mld_zprec_type), intent(inout) :: p
|
|
|
|
integer(psb_ipk_), intent(in) :: level
|
|
character, intent(in) :: trans
|
|
character(len=*), intent(in) :: innersolv
|
|
complex(psb_dpk_),target :: work(:)
|
|
|
|
!Other variables
|
|
type(psb_z_vect_type) :: v, w, rhs, v1, x
|
|
type(psb_z_vect_type), dimension(0:1) :: d
|
|
complex(psb_dpk_) :: delta_old, rhs_norm, alpha, tau, tau1, tau2, tau3, tau4, beta
|
|
|
|
real(psb_dpk_) :: l2_norm, delta, rtol=0.25, delta0, tnrm
|
|
complex(psb_dpk_), allocatable :: temp_v(:)
|
|
integer(psb_ipk_) :: info, nlev, i, iter, max_iter=2, idx
|
|
character(len=20) :: name = 'innerit_k_cycle'
|
|
|
|
!Assemble rhs, w, v, v1, x
|
|
|
|
call psb_geasb(rhs,&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vx2l%v)
|
|
call psb_geasb(w,&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vx2l%v)
|
|
call psb_geasb(v,&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vx2l%v)
|
|
call psb_geasb(v1,&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vx2l%v)
|
|
call psb_geasb(x,&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vx2l%v)
|
|
!Assemble d(0) and d(1)
|
|
call psb_geasb(d(0),&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vy2l%v)
|
|
call psb_geasb(d(1),&
|
|
& p%precv(level)%base_desc,info,&
|
|
& scratch=.true.,mold=p%wrk(level)%vy2l%v)
|
|
|
|
|
|
call x%zero()
|
|
|
|
! rhs=vx2l and w=rhs
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,zzero,rhs,&
|
|
& p%precv(level)%base_desc,info)
|
|
call psb_geaxpby(zone,p%wrk(level)%vx2l,zzero,w,&
|
|
& p%precv(level)%base_desc,info)
|
|
|
|
if (psb_errstatus_fatal()) then
|
|
nc2l = p%precv(level)%base_desc%get_local_cols()
|
|
info=psb_err_alloc_request_
|
|
call psb_errpush(info,name,i_err=(/2*nc2l,izero,izero,izero,izero/),&
|
|
& a_err='complex(psb_dpk_)')
|
|
goto 9999
|
|
end if
|
|
|
|
delta0 = psb_genrm2(w, p%precv(level)%base_desc, info)
|
|
|
|
!Apply the preconditioner
|
|
call p%wrk(level)%vy2l%zero()
|
|
|
|
idx=0
|
|
call inner_ml_aply(level,p,trans,work,info)
|
|
|
|
call psb_geaxpby(zone,p%wrk(level)%vy2l,zzero,d(idx),p%precv(level)%base_desc,info)
|
|
|
|
call psb_spmm(zone,p%precv(level)%base_a,d(idx),zzero,v,p%precv(level)%base_desc,info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
|
|
!FCG
|
|
if (psb_toupper(trim(innersolv)) == 'FCG') then
|
|
delta_old = psb_gedot(d(idx), w, p%precv(level)%base_desc, info)
|
|
tau = psb_gedot(d(idx), v, p%precv(level)%base_desc, info)
|
|
!GCR
|
|
else if (psb_toupper(trim(innersolv)) == 'GCR') then
|
|
delta_old = psb_gedot(v, w, p%precv(level)%base_desc, info)
|
|
tau = psb_gedot(v, v, p%precv(level)%base_desc, info)
|
|
else
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Invalid inner solver')
|
|
goto 9999
|
|
endif
|
|
|
|
alpha = delta_old/tau
|
|
!Update residual w
|
|
call psb_geaxpby(-alpha, v, zone, w, p%precv(level)%base_desc, info)
|
|
|
|
l2_norm = psb_genrm2(w, p%precv(level)%base_desc, info)
|
|
iter = 0
|
|
|
|
if (l2_norm <= rtol*delta0) then
|
|
!Update solution x
|
|
call psb_geaxpby(alpha, d(idx), zone, x, p%precv(level)%base_desc, info)
|
|
else
|
|
iter = iter + 1
|
|
idx=mod(iter,2)
|
|
|
|
!Apply preconditioner
|
|
call psb_geaxpby(zone,w,zzero,p%wrk(level)%vx2l,p%precv(level)%base_desc,info)
|
|
call inner_ml_aply(level,p,trans,work,info)
|
|
call psb_geaxpby(zone,p%wrk(level)%vy2l,zzero,d(idx),p%precv(level)%base_desc,info)
|
|
|
|
!Sparse matrix vector product
|
|
|
|
call psb_spmm(zone,p%precv(level)%base_a,d(idx),zzero,v1,p%precv(level)%base_desc,info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
|
|
!tau1, tau2, tau3, tau4
|
|
if (psb_toupper(trim(innersolv)) == 'FCG') then
|
|
tau1= psb_gedot(d(idx), v, p%precv(level)%base_desc, info)
|
|
tau2= psb_gedot(d(idx), v1, p%precv(level)%base_desc, info)
|
|
tau3= psb_gedot(d(idx), w, p%precv(level)%base_desc, info)
|
|
tau4= tau2 - (tau1*tau1)/tau
|
|
else if (psb_toupper(trim(innersolv)) == 'GCR') then
|
|
tau1= psb_gedot(v1, v, p%precv(level)%base_desc, info)
|
|
tau2= psb_gedot(v1, v1, p%precv(level)%base_desc, info)
|
|
tau3= psb_gedot(v1, w, p%precv(level)%base_desc, info)
|
|
tau4= tau2 - (tau1*tau1)/tau
|
|
else
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Invalid inner solver')
|
|
goto 9999
|
|
endif
|
|
|
|
!Update solution
|
|
alpha=alpha-(tau1*tau3)/(tau*tau4)
|
|
call psb_geaxpby(alpha,d(idx - 1),zone,x,p%precv(level)%base_desc,info)
|
|
alpha=tau3/tau4
|
|
call psb_geaxpby(alpha,d(idx),zone,x,p%precv(level)%base_desc,info)
|
|
endif
|
|
|
|
call psb_geaxpby(zone,x,zzero,p%wrk(level)%vy2l,p%precv(level)%base_desc,info)
|
|
!Free vectors
|
|
call psb_gefree(v, p%precv(level)%base_desc, info)
|
|
call psb_gefree(v1, p%precv(level)%base_desc, info)
|
|
call psb_gefree(w, p%precv(level)%base_desc, info)
|
|
call psb_gefree(x, p%precv(level)%base_desc, info)
|
|
call psb_gefree(d(0), p%precv(level)%base_desc, info)
|
|
call psb_gefree(d(1), p%precv(level)%base_desc, info)
|
|
|
|
9999 continue
|
|
call psb_erractionrestore(err_act)
|
|
if (err_act.eq.psb_act_abort_) then
|
|
call psb_error()
|
|
return
|
|
end if
|
|
return
|
|
end subroutine mld_zinneritkcycle
|
|
|
|
end subroutine mld_zmlprec_aply_vect
|
|
|
|
|
|
|
|
|
|
|
|
!
|
|
! Old routine for arrays instead of psb_X_vector. To be deleted eventually.
|
|
!
|
|
!
|
|
subroutine mld_zmlprec_aply(alpha,p,x,beta,y,desc_data,trans,work,info)
|
|
|
|
use psb_base_mod
|
|
use mld_base_prec_type
|
|
use mld_z_inner_mod, mld_protect_name => mld_zmlprec_aply
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
type(mld_zprec_type), intent(inout) :: p
|
|
complex(psb_dpk_),intent(in) :: alpha,beta
|
|
complex(psb_dpk_),intent(inout) :: x(:)
|
|
complex(psb_dpk_),intent(inout) :: y(:)
|
|
character, intent(in) :: trans
|
|
complex(psb_dpk_),target :: work(:)
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
! Local variables
|
|
integer(psb_ipk_) :: ictxt, np, me
|
|
integer(psb_ipk_) :: err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit, nlev,nc2l,nr2l,level
|
|
character(len=20) :: name
|
|
character :: trans_
|
|
type mld_mlwrk_type
|
|
complex(psb_dpk_), allocatable :: tx(:), ty(:), x2l(:), y2l(:)
|
|
end type mld_mlwrk_type
|
|
type(mld_mlwrk_type), allocatable, target :: mlwrk(:)
|
|
|
|
name='mld_zmlprec_aply'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
|
|
ictxt = desc_data%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if (debug_level >= psb_debug_inner_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Entry ', size(p%precv)
|
|
|
|
trans_ = psb_toupper(trans)
|
|
|
|
nlev = size(p%precv)
|
|
allocate(mlwrk(nlev),stat=info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
level = 1
|
|
|
|
do level = 1, nlev
|
|
call psb_geasb(mlwrk(level)%x2l,&
|
|
& p%precv(level)%base_desc,info)
|
|
call psb_geasb(mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc,info)
|
|
call psb_geasb(mlwrk(level)%tx,&
|
|
& p%precv(level)%base_desc,info)
|
|
call psb_geasb(mlwrk(level)%ty,&
|
|
& p%precv(level)%base_desc,info)
|
|
if (psb_errstatus_fatal()) then
|
|
nc2l = p%precv(level)%base_desc%get_local_cols()
|
|
info=psb_err_alloc_request_
|
|
call psb_errpush(info,name,i_err=(/2*nc2l,izero,izero,izero,izero/),&
|
|
& a_err='complex(psb_dpk_)')
|
|
goto 9999
|
|
end if
|
|
end do
|
|
|
|
mlwrk(level)%x2l(:) = x(:)
|
|
mlwrk(level)%y2l(:) = zzero
|
|
|
|
call inner_ml_aply(level,p,mlwrk,trans_,work,info)
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Inner prec aply')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_geaxpby(alpha,mlwrk(level)%y2l,beta,y,&
|
|
& p%precv(level)%base_desc,info)
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error final update')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
return
|
|
|
|
contains
|
|
|
|
!
|
|
!
|
|
! inner_ml_aply: apply AMG at a given level.
|
|
! This routine dispatches the computation according to the type
|
|
! specified at the current level.
|
|
! Each of the corrections will inturn call recursively this routine.
|
|
!
|
|
! Assumptions:
|
|
! On input:
|
|
! mlprec_wkr(level)%vx2l contains the input vector (RHS)
|
|
! mlprec_wkr(level)%vy2l contains the initial guess
|
|
!
|
|
! On output:
|
|
! mlprec_wkr(level)%vy2l contains the solution
|
|
!
|
|
! Constraints: each of the called routines must properly handle
|
|
! the input/output conditions for level+1 (i.e. apply
|
|
! prolongation/restriction).
|
|
! Note: for historical/convenience reasons the prolongator/restrictor
|
|
! between level and level+1 are stored at level+1.
|
|
!
|
|
!
|
|
recursive subroutine inner_ml_aply(level,p,mlwrk,trans,work,info)
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
integer(psb_ipk_) :: level
|
|
type(mld_zprec_type), target, intent(inout) :: p
|
|
type(mld_mlwrk_type), intent(inout), target :: mlwrk(:)
|
|
character, intent(in) :: trans
|
|
complex(psb_dpk_),target :: work(:)
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
type(psb_z_vect_type) :: res
|
|
type(psb_z_vect_type), pointer :: current
|
|
integer(psb_ipk_) :: sweeps_post, sweeps_pre
|
|
! Local variables
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
integer(psb_ipk_) :: i, err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: nlev, ilev, sweeps
|
|
logical :: pre, post
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
name = 'inner_ml_aply'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
nlev = size(p%precv)
|
|
if ((level < 1) .or. (level > nlev)) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='wrong call level to inner_ml')
|
|
goto 9999
|
|
end if
|
|
ictxt = p%precv(level)%base_desc%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if(debug_level > 1) then
|
|
write(debug_unit,*) me,' inner_ml_aply at level ',level
|
|
end if
|
|
|
|
select case(p%precv(level)%parms%ml_cycle)
|
|
|
|
case(mld_no_ml_)
|
|
!
|
|
! No preconditioning, should not really get here
|
|
!
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='mld_no_ml_ in mlprc_aply?')
|
|
goto 9999
|
|
|
|
case(mld_add_ml_)
|
|
|
|
call mld_z_inner_add(p, mlwrk, level, trans, work)
|
|
|
|
case(mld_mult_ml_, mld_vcycle_ml_, mld_wcycle_ml_)
|
|
|
|
call mld_z_inner_mult(p, mlwrk, level, trans, work)
|
|
|
|
! !$ case(mld_kcycle_ml_, mld_kcyclesym_ml_)
|
|
! !$
|
|
! !$ call mld_z_inner_k_cycle(p, mlwrk, level, trans, work)
|
|
|
|
case default
|
|
info = psb_err_from_subroutine_ai_
|
|
call psb_errpush(info,name,a_err='invalid ml_cycle',&
|
|
& i_Err=(/p%precv(level)%parms%ml_cycle,izero,izero,izero,izero/))
|
|
goto 9999
|
|
|
|
end select
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
|
|
end subroutine inner_ml_aply
|
|
|
|
|
|
recursive subroutine mld_z_inner_add(p, mlwrk, level, trans, work)
|
|
use psb_base_mod
|
|
use mld_prec_mod
|
|
|
|
implicit none
|
|
|
|
!Input/Oputput variables
|
|
type(mld_zprec_type), intent(inout) :: p
|
|
|
|
type(mld_mlwrk_type), target, intent(inout) :: mlwrk(:)
|
|
integer(psb_ipk_), intent(in) :: level
|
|
character, intent(in) :: trans
|
|
complex(psb_dpk_),target :: work(:)
|
|
type(psb_z_vect_type) :: res
|
|
type(psb_z_vect_type), pointer :: current
|
|
integer(psb_ipk_) :: sweeps_post, sweeps_pre
|
|
! Local variables
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
integer(psb_ipk_) :: i, err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: nlev, ilev, sweeps
|
|
logical :: pre, post
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
name = 'inner_inner_add'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
nlev = size(p%precv)
|
|
if ((level < 1) .or. (level > nlev)) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='wrong call level to inner_add')
|
|
goto 9999
|
|
end if
|
|
ictxt = p%precv(level)%base_desc%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if(debug_level > 1) then
|
|
write(debug_unit,*) me,' inner_add at level ',level
|
|
end if
|
|
|
|
if ((level<1).or.(level>nlev)) then
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,&
|
|
& a_err='Invalid LEVEL>NLEV')
|
|
goto 9999
|
|
end if
|
|
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
call p%precv(level)%sm%apply(zone,&
|
|
& mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during ADD smoother_apply')
|
|
goto 9999
|
|
end if
|
|
|
|
if (level < nlev) then
|
|
! Apply the restriction
|
|
call psb_map_X2Y(zone,mlwrk(level)%x2l,&
|
|
& zzero,mlwrk(level+1)%x2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
mlwrk(level+1)%y2l(:) = zzero
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
|
|
call inner_ml_aply(level+1,p,mlwrk,trans,work,info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error in recursive call')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Apply the prolongator and add correction.
|
|
!
|
|
call psb_map_Y2X(zone,mlwrk(level+1)%y2l,&
|
|
& zone,mlwrk(level)%y2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during prolongation')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
|
|
end subroutine mld_z_inner_add
|
|
|
|
recursive subroutine mld_z_inner_mult(p, mlwrk, level, trans, work)
|
|
use psb_base_mod
|
|
use mld_prec_mod
|
|
|
|
implicit none
|
|
|
|
!Input/Oputput variables
|
|
type(mld_zprec_type), intent(inout) :: p
|
|
|
|
type(mld_mlwrk_type), target, intent(inout) :: mlwrk(:)
|
|
integer(psb_ipk_), intent(in) :: level
|
|
character, intent(in) :: trans
|
|
complex(psb_dpk_),target :: work(:)
|
|
type(psb_z_vect_type) :: res
|
|
type(psb_z_vect_type), pointer :: current
|
|
integer(psb_ipk_) :: sweeps_post, sweeps_pre
|
|
! Local variables
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
integer(psb_ipk_) :: i, err_act
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: nlev, ilev, sweeps
|
|
logical :: pre, post
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
name = 'inner_inner_mult'
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
nlev = size(p%precv)
|
|
if ((level < 1) .or. (level > nlev)) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='wrong call level to inner_mult')
|
|
goto 9999
|
|
end if
|
|
ictxt = p%precv(level)%base_desc%get_context()
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if(debug_level > 1) then
|
|
write(debug_unit,*) me,' inner_mult at level ',level
|
|
end if
|
|
|
|
if ((level < nlev).or.(nlev == 1)) then
|
|
sweeps_post = p%precv(level)%parms%sweeps_post
|
|
sweeps_pre = p%precv(level)%parms%sweeps_pre
|
|
else
|
|
sweeps_post = p%precv(level-1)%parms%sweeps_post
|
|
sweeps_pre = p%precv(level-1)%parms%sweeps_pre
|
|
endif
|
|
|
|
pre = ((sweeps_pre>0).and.(trans=='N')).or.((sweeps_post>0).and.(trans/='N'))
|
|
post = ((sweeps_post>0).and.(trans=='N')).or.((sweeps_pre>0).and.(trans/='N'))
|
|
|
|
|
|
if (level < nlev) then
|
|
|
|
!
|
|
! Apply the first smoother
|
|
!
|
|
|
|
if (pre) then
|
|
if (trans == 'N') then
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Y')
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_post
|
|
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
|
|
& mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Y')
|
|
end if
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during PRE smoother_apply')
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
!
|
|
! Compute the residual and call recursively
|
|
!
|
|
if (pre) then
|
|
call psb_geaxpby(zone,mlwrk(level)%x2l,&
|
|
& zzero,mlwrk(level)%ty,&
|
|
& p%precv(level)%base_desc,info)
|
|
|
|
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
|
|
& mlwrk(level)%y2l,zone,mlwrk(level)%ty,&
|
|
& p%precv(level)%base_desc,info,work=work,trans=trans)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
call psb_map_X2Y(zone,mlwrk(level)%ty,&
|
|
& zzero,mlwrk(level+1)%x2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
else
|
|
! Shortcut: just transfer x2l.
|
|
call psb_map_X2Y(zone,mlwrk(level)%x2l,&
|
|
& zzero,mlwrk(level+1)%x2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during restriction')
|
|
goto 9999
|
|
end if
|
|
endif
|
|
! First guess is zero
|
|
mlwrk(level+1)%y2l(:) = zzero
|
|
|
|
|
|
call inner_ml_aply(level+1,p,mlwrk,trans,work,info)
|
|
|
|
if (p%precv(level)%parms%ml_cycle == mld_wcycle_ml_) then
|
|
! On second call will use output y2l as initial guess
|
|
if (info == psb_success_) call inner_ml_aply(level+1,p,mlwrk,trans,work,info)
|
|
endif
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error in recursive call')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
!
|
|
! Apply the prolongator
|
|
!
|
|
call psb_map_Y2X(zone,mlwrk(level+1)%y2l,&
|
|
& zone,mlwrk(level)%y2l,&
|
|
& p%precv(level+1)%map,info,work=work)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during prolongation')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Compute the residual
|
|
!
|
|
if (post) then
|
|
call psb_geaxpby(zone,mlwrk(level)%x2l,&
|
|
& zzero,mlwrk(level)%tx,&
|
|
& p%precv(level)%base_desc,info)
|
|
call psb_spmm(-zone,p%precv(level)%base_a,mlwrk(level)%y2l,&
|
|
& zone,mlwrk(level)%tx,p%precv(level)%base_desc,info,&
|
|
& work=work,trans=trans)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during residue')
|
|
goto 9999
|
|
end if
|
|
!
|
|
! Apply the second smoother
|
|
!
|
|
if (trans == 'N') then
|
|
sweeps = p%precv(level)%parms%sweeps_post
|
|
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
|
|
& mlwrk(level)%tx,zone,mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
else
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& mlwrk(level)%tx,zone,mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info,init='Z')
|
|
end if
|
|
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
& a_err='Error during POST smoother_apply')
|
|
goto 9999
|
|
end if
|
|
|
|
endif
|
|
|
|
else if (level == nlev) then
|
|
|
|
sweeps = p%precv(level)%parms%sweeps_pre
|
|
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
|
|
& mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,&
|
|
& p%precv(level)%base_desc, trans,&
|
|
& sweeps,work,info)
|
|
|
|
else
|
|
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,&
|
|
& a_err='Invalid LEVEL vs NLEV')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
|
|
end subroutine mld_z_inner_mult
|
|
|
|
|
|
end subroutine mld_zmlprec_aply
|