!!$ !!$ !!$ MLD2P4 version 1.0 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS version 2.2) !!$ !!$ (C) Copyright 2008 !!$ !!$ Salvatore Filippone University of Rome Tor Vergata !!$ Alfredo Buttari University of Rome Tor Vergata !!$ Pasqua D'Ambra ICAR-CNR, Naples !!$ Daniela di Serafino Second University of Naples !!$ !!$ Redistribution and use in source and binary forms, with or without !!$ modification, are permitted provided that the following conditions !!$ are met: !!$ 1. Redistributions of source code must retain the above copyright !!$ notice, this list of conditions and the following disclaimer. !!$ 2. Redistributions in binary form must reproduce the above copyright !!$ notice, this list of conditions, and the following disclaimer in the !!$ documentation and/or other materials provided with the distribution. !!$ 3. The name of the MLD2P4 group or the names of its contributors may !!$ not be used to endorse or promote products derived from this !!$ software without specific written permission. !!$ !!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS !!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED !!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR !!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS !!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR !!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF !!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS !!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN !!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) !!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE !!$ POSSIBILITY OF SUCH DAMAGE. !!$ !!$ module mld_inner_mod use mld_prec_type use mld_basep_bld_mod interface mld_baseprec_aply subroutine mld_sbaseprec_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_sbaseprc_type), intent(in) :: prec real(psb_spk_),intent(in) :: x(:) real(psb_spk_),intent(inout) :: y(:) real(psb_spk_),intent(in) :: alpha,beta character(len=1) :: trans real(psb_spk_),target :: work(:) integer, intent(out) :: info end subroutine mld_sbaseprec_aply subroutine mld_dbaseprec_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_dbaseprc_type), intent(in) :: prec real(psb_dpk_),intent(in) :: x(:) real(psb_dpk_),intent(inout) :: y(:) real(psb_dpk_),intent(in) :: alpha,beta character(len=1) :: trans real(psb_dpk_),target :: work(:) integer, intent(out) :: info end subroutine mld_dbaseprec_aply subroutine mld_cbaseprec_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_cbaseprc_type), intent(in) :: prec complex(psb_spk_),intent(in) :: x(:) complex(psb_spk_),intent(inout) :: y(:) complex(psb_spk_),intent(in) :: alpha,beta character(len=1) :: trans complex(psb_spk_),target :: work(:) integer, intent(out) :: info end subroutine mld_cbaseprec_aply subroutine mld_zbaseprec_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_zbaseprc_type), intent(in) :: prec complex(psb_dpk_),intent(in) :: x(:) complex(psb_dpk_),intent(inout) :: y(:) complex(psb_dpk_),intent(in) :: alpha,beta character(len=1) :: trans complex(psb_dpk_),target :: work(:) integer, intent(out) :: info end subroutine mld_zbaseprec_aply end interface interface mld_as_aply subroutine mld_sas_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_sbaseprc_type), intent(in) :: prec real(psb_spk_),intent(in) :: x(:) real(psb_spk_),intent(inout) :: y(:) real(psb_spk_),intent(in) :: alpha,beta character(len=1) :: trans real(psb_spk_),target :: work(:) integer, intent(out) :: info end subroutine mld_sas_aply subroutine mld_das_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_dbaseprc_type), intent(in) :: prec real(psb_dpk_),intent(in) :: x(:) real(psb_dpk_),intent(inout) :: y(:) real(psb_dpk_),intent(in) :: alpha,beta character(len=1) :: trans real(psb_dpk_),target :: work(:) integer, intent(out) :: info end subroutine mld_das_aply subroutine mld_cas_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_cbaseprc_type), intent(in) :: prec complex(psb_spk_),intent(in) :: x(:) complex(psb_spk_),intent(inout) :: y(:) complex(psb_spk_),intent(in) :: alpha,beta character(len=1) :: trans complex(psb_spk_),target :: work(:) integer, intent(out) :: info end subroutine mld_cas_aply subroutine mld_zas_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_zbaseprc_type), intent(in) :: prec complex(psb_dpk_),intent(in) :: x(:) complex(psb_dpk_),intent(inout) :: y(:) complex(psb_dpk_),intent(in) :: alpha,beta character(len=1) :: trans complex(psb_dpk_),target :: work(:) integer, intent(out) :: info end subroutine mld_zas_aply end interface interface mld_mlprec_aply subroutine mld_smlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_sbaseprc_type), intent(in) :: baseprecv(:) real(psb_spk_),intent(in) :: alpha,beta real(psb_spk_),intent(in) :: x(:) real(psb_spk_),intent(inout) :: y(:) character :: trans real(psb_spk_),target :: work(:) integer, intent(out) :: info end subroutine mld_smlprec_aply subroutine mld_dmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_dbaseprc_type), intent(in) :: baseprecv(:) real(psb_dpk_),intent(in) :: alpha,beta real(psb_dpk_),intent(in) :: x(:) real(psb_dpk_),intent(inout) :: y(:) character :: trans real(psb_dpk_),target :: work(:) integer, intent(out) :: info end subroutine mld_dmlprec_aply subroutine mld_cmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_cbaseprc_type), intent(in) :: baseprecv(:) complex(psb_spk_),intent(in) :: alpha,beta complex(psb_spk_),intent(in) :: x(:) complex(psb_spk_),intent(inout) :: y(:) character :: trans complex(psb_spk_),target :: work(:) integer, intent(out) :: info end subroutine mld_cmlprec_aply subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type),intent(in) :: desc_data type(mld_zbaseprc_type), intent(in) :: baseprecv(:) complex(psb_dpk_),intent(in) :: alpha,beta complex(psb_dpk_),intent(in) :: x(:) complex(psb_dpk_),intent(inout) :: y(:) character :: trans complex(psb_dpk_),target :: work(:) integer, intent(out) :: info end subroutine mld_zmlprec_aply end interface interface mld_sub_aply subroutine mld_ssub_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_sbaseprc_type), intent(in) :: prec real(psb_spk_),intent(in) :: x(:) real(psb_spk_),intent(inout) :: y(:) real(psb_spk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans real(psb_spk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_ssub_aply subroutine mld_dsub_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_dbaseprc_type), intent(in) :: prec real(psb_dpk_),intent(in) :: x(:) real(psb_dpk_),intent(inout) :: y(:) real(psb_dpk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans real(psb_dpk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_dsub_aply subroutine mld_csub_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_cbaseprc_type), intent(in) :: prec complex(psb_spk_),intent(in) :: x(:) complex(psb_spk_),intent(inout) :: y(:) complex(psb_spk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans complex(psb_spk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_csub_aply subroutine mld_zsub_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_zbaseprc_type), intent(in) :: prec complex(psb_dpk_),intent(in) :: x(:) complex(psb_dpk_),intent(inout) :: y(:) complex(psb_dpk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans complex(psb_dpk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_zsub_aply end interface interface mld_sub_solve subroutine mld_ssub_solve(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_sbaseprc_type), intent(in) :: prec real(psb_spk_),intent(in) :: x(:) real(psb_spk_),intent(inout) :: y(:) real(psb_spk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans real(psb_spk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_ssub_solve subroutine mld_dsub_solve(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_dbaseprc_type), intent(in) :: prec real(psb_dpk_),intent(in) :: x(:) real(psb_dpk_),intent(inout) :: y(:) real(psb_dpk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans real(psb_dpk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_dsub_solve subroutine mld_csub_solve(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_cbaseprc_type), intent(in) :: prec complex(psb_spk_),intent(in) :: x(:) complex(psb_spk_),intent(inout) :: y(:) complex(psb_spk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans complex(psb_spk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_csub_solve subroutine mld_zsub_solve(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_type type(psb_desc_type), intent(in) :: desc_data type(mld_zbaseprc_type), intent(in) :: prec complex(psb_dpk_),intent(in) :: x(:) complex(psb_dpk_),intent(inout) :: y(:) complex(psb_dpk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans complex(psb_dpk_),target,intent(inout) :: work(:) integer, intent(out) :: info end subroutine mld_zsub_solve end interface interface mld_asmat_bld Subroutine mld_sasmat_bld(ptype,novr,a,blk,desc_data,upd,desc_p,info,outfmt) use psb_base_mod use mld_prec_type integer, intent(in) :: ptype,novr Type(psb_sspmat_type), Intent(in) :: a Type(psb_sspmat_type), Intent(out) :: blk Type(psb_desc_type), Intent(inout) :: desc_p Type(psb_desc_type), Intent(in) :: desc_data Character, Intent(in) :: upd integer, intent(out) :: info character(len=5), optional :: outfmt end Subroutine mld_sasmat_bld Subroutine mld_dasmat_bld(ptype,novr,a,blk,desc_data,upd,desc_p,info,outfmt) use psb_base_mod use mld_prec_type integer, intent(in) :: ptype,novr Type(psb_dspmat_type), Intent(in) :: a Type(psb_dspmat_type), Intent(out) :: blk Type(psb_desc_type), Intent(inout) :: desc_p Type(psb_desc_type), Intent(in) :: desc_data Character, Intent(in) :: upd integer, intent(out) :: info character(len=5), optional :: outfmt end Subroutine mld_dasmat_bld Subroutine mld_casmat_bld(ptype,novr,a,blk,desc_data,upd,desc_p,info,outfmt) use psb_base_mod use mld_prec_type integer, intent(in) :: ptype,novr Type(psb_cspmat_type), Intent(in) :: a Type(psb_cspmat_type), Intent(out) :: blk Type(psb_desc_type), Intent(inout) :: desc_p Type(psb_desc_type), Intent(in) :: desc_data Character, Intent(in) :: upd integer, intent(out) :: info character(len=5), optional :: outfmt end Subroutine mld_casmat_bld Subroutine mld_zasmat_bld(ptype,novr,a,blk,desc_data,upd,desc_p,info,outfmt) use psb_base_mod use mld_prec_type integer, intent(in) :: ptype,novr Type(psb_zspmat_type), Intent(in) :: a Type(psb_zspmat_type), Intent(out) :: blk Type(psb_desc_type), Intent(inout) :: desc_p Type(psb_desc_type), Intent(in) :: desc_data Character, Intent(in) :: upd integer, intent(out) :: info character(len=5), optional :: outfmt end Subroutine mld_zasmat_bld end interface interface mld_sp_renum subroutine mld_ssp_renum(a,blck,p,atmp,info) use psb_base_mod use mld_prec_type type(psb_sspmat_type), intent(in) :: a,blck type(psb_sspmat_type), intent(out) :: atmp type(mld_sbaseprc_type), intent(inout) :: p integer, intent(out) :: info end subroutine mld_ssp_renum subroutine mld_dsp_renum(a,blck,p,atmp,info) use psb_base_mod use mld_prec_type type(psb_dspmat_type), intent(in) :: a,blck type(psb_dspmat_type), intent(out) :: atmp type(mld_dbaseprc_type), intent(inout) :: p integer, intent(out) :: info end subroutine mld_dsp_renum subroutine mld_csp_renum(a,blck,p,atmp,info) use psb_base_mod use mld_prec_type type(psb_cspmat_type), intent(in) :: a,blck type(psb_cspmat_type), intent(out) :: atmp type(mld_cbaseprc_type), intent(inout) :: p integer, intent(out) :: info end subroutine mld_csp_renum subroutine mld_zsp_renum(a,blck,p,atmp,info) use psb_base_mod use mld_prec_type type(psb_zspmat_type), intent(in) :: a,blck type(psb_zspmat_type), intent(out) :: atmp type(mld_zbaseprc_type), intent(inout) :: p integer, intent(out) :: info end subroutine mld_zsp_renum end interface interface mld_aggrmap_bld subroutine mld_saggrmap_bld(aggr_type,a,desc_a,nlaggr,ilaggr,info) use psb_base_mod use mld_prec_type integer, intent(in) :: aggr_type type(psb_sspmat_type), intent(in), target :: a type(psb_desc_type), intent(in) :: desc_a integer, allocatable, intent(out) :: ilaggr(:),nlaggr(:) integer, intent(out) :: info end subroutine mld_saggrmap_bld subroutine mld_daggrmap_bld(aggr_type,a,desc_a,nlaggr,ilaggr,info) use psb_base_mod use mld_prec_type integer, intent(in) :: aggr_type type(psb_dspmat_type), intent(in), target :: a type(psb_desc_type), intent(in) :: desc_a integer, allocatable, intent(out) :: ilaggr(:),nlaggr(:) integer, intent(out) :: info end subroutine mld_daggrmap_bld subroutine mld_caggrmap_bld(aggr_type,a,desc_a,nlaggr,ilaggr,info) use psb_base_mod use mld_prec_type integer, intent(in) :: aggr_type type(psb_cspmat_type), intent(in), target :: a type(psb_desc_type), intent(in) :: desc_a integer, allocatable, intent(out) :: ilaggr(:),nlaggr(:) integer, intent(out) :: info end subroutine mld_caggrmap_bld subroutine mld_zaggrmap_bld(aggr_type,a,desc_a,nlaggr,ilaggr,info) use psb_base_mod use mld_prec_type integer, intent(in) :: aggr_type type(psb_zspmat_type), intent(in), target :: a type(psb_desc_type), intent(in) :: desc_a integer, allocatable, intent(out) :: ilaggr(:),nlaggr(:) integer, intent(out) :: info end subroutine mld_zaggrmap_bld end interface interface mld_aggrmat_asb subroutine mld_saggrmat_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_sspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_sspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_sbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_saggrmat_asb subroutine mld_daggrmat_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_dspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_dspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_dbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_daggrmat_asb subroutine mld_caggrmat_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_cspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_cbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_caggrmat_asb subroutine mld_zaggrmat_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_zspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_zspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_zbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_zaggrmat_asb end interface interface mld_aggrmat_raw_asb subroutine mld_saggrmat_raw_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_sspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_sspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_sbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_saggrmat_raw_asb subroutine mld_daggrmat_raw_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_dspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_dspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_dbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_daggrmat_raw_asb subroutine mld_caggrmat_raw_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_cspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_cbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_caggrmat_raw_asb subroutine mld_zaggrmat_raw_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_zspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_zspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_zbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_zaggrmat_raw_asb end interface interface mld_aggrmat_smth_asb subroutine mld_saggrmat_smth_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_sspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_sspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_sbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_saggrmat_smth_asb subroutine mld_daggrmat_smth_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_dspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_dspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_dbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_daggrmat_smth_asb subroutine mld_caggrmat_smth_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_cspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_cbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_caggrmat_smth_asb subroutine mld_zaggrmat_smth_asb(a,desc_a,ac,desc_ac,p,info) use psb_base_mod use mld_prec_type type(psb_zspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a type(psb_zspmat_type), intent(out) :: ac type(psb_desc_type), intent(out) :: desc_ac type(mld_zbaseprc_type), intent(inout), target :: p integer, intent(out) :: info end subroutine mld_zaggrmat_smth_asb end interface end module mld_inner_mod