quantum-espresso/KS_Solvers/CG/rotate_wfc_gamma.f90

441 lines
14 KiB
Fortran

!
! Copyright (C) 2003-2007 Quantum ESPRESSO group
! This file is distributed under the terms of the
! GNU General Public License. See the file `License'
! in the root directory of the present distribution,
! or http://www.gnu.org/copyleft/gpl.txt .
!
!
!----------------------------------------------------------------------------
SUBROUTINE rotate_wfc_gamma( h_psi, s_psi, overlap, &
npwx, npw, nstart, nbnd, psi, evc, e )
!----------------------------------------------------------------------------
!
! ... Serial version of rotate_wfc for Gamma-only calculations
! ... This version assumes real wavefunctions (k=0) with only
! ... half plane waves stored: psi(-G)=psi*(G), except G=0
!
USE cg_param, ONLY : DP
USE mp_bands_util, ONLY : intra_bgrp_comm, inter_bgrp_comm, root_bgrp_id, &
nbgrp, my_bgrp_id
USE mp_bands_util, ONLY : gstart ! index of the first nonzero G
USE mp, ONLY : mp_sum
!
IMPLICIT NONE
!
! ... I/O variables
!
INTEGER :: npw, npwx, nstart, nbnd
! dimension of the matrix to be diagonalized
! leading dimension of matrix psi, as declared in the calling pgm unit
! input number of states
! output number of states
LOGICAL :: overlap
! if .FALSE. : S|psi> not needed
COMPLEX(DP) :: psi(npwx,nstart), evc(npwx,nbnd)
! input and output eigenvectors (may overlap)
REAL(DP) :: e(nbnd)
! eigenvalues
!
! ... local variables
!
INTEGER :: npw2, npwx2
COMPLEX(DP), ALLOCATABLE :: aux(:,:)
REAL(DP), ALLOCATABLE :: hr(:,:), sr(:,:), vr(:,:)
REAL(DP), ALLOCATABLE :: en(:)
INTEGER :: n_start, n_end, my_n
!
EXTERNAL h_psi, s_psi
! h_psi(npwx,npw,nvec,psi,hpsi)
! calculates H|psi>
! s_psi(npwx,npw,nvec,spsi)
! calculates S|psi> (if needed)
! Vectors psi,hpsi,spsi are dimensioned (npwx,npol,nvec)
npw2 = 2 * npw
npwx2 = 2 * npwx
IF ( gstart == -1 ) CALL errore( 'regter', 'gstart variable not initialized', 1 )
!
ALLOCATE( aux( npwx, nstart ) )
ALLOCATE( hr( nstart, nstart ) )
ALLOCATE( sr( nstart, nstart ) )
ALLOCATE( vr( nstart, nstart ) )
ALLOCATE( en( nstart ) )
call start_clock('rotwfcg'); !write(*,*) 'start rotwfcg' ; FLUSH(6)
!
! ... Set up the Hamiltonian and Overlap matrix on the subspace :
!
! ... H_ij = <psi_i| H |psi_j> S_ij = <psi_i| S |psi_j>
!
! ... set Im[ psi(G=0) ] - needed for numerical stability
!
IF ( gstart == 2 ) &
psi(1,1:nstart) = CMPLX( DBLE( psi(1,1:nstart) ), 0.D0,kind=DP)
!
call start_clock('rotwfcg:hpsi'); !write(*,*) 'start rotwfcg:hpsi' ; FLUSH(6)
CALL h_psi( npwx, npw, nstart, psi, aux )
call stop_clock('rotwfcg:hpsi'); !write(*,*) 'stop rotwfcg:hpsi' ; FLUSH(6)
!
call start_clock('rotwfcg:hc'); !write(*,*) 'start rotwfcg:hc' ; FLUSH(6)
hr=0.D0
CALL divide(inter_bgrp_comm,nstart,n_start,n_end)
my_n = n_end - n_start + 1; !write (*,*) nstart,n_start,n_end
if (n_start .le. n_end) &
CALL DGEMM( 'T','N', nstart, my_n, npw2, 2.D0, psi, npwx2, aux(1,n_start), npwx2, 0.D0, hr(1,n_start), nstart )
IF ( gstart == 2 ) call DGER( nstart, my_n, -1.D0, psi, npwx2, aux(1,n_start), npwx2, hr(1,n_start), nstart )
CALL mp_sum( hr, inter_bgrp_comm )
!
CALL mp_sum( hr, intra_bgrp_comm )
!
sr=0.D0
IF ( overlap ) THEN
!
CALL s_psi( npwx, npw, nstart, psi, aux )
!
if (n_start .le. n_end) &
CALL DGEMM( 'T','N', nstart, my_n, npw2, 2.D0, psi, npwx2, aux(1,n_start), npwx2, 0.D0, sr(1,n_start), nstart )
IF ( gstart == 2 ) CALL DGER( nstart, my_n, -1.D0, psi, npwx2, aux(1,n_start), npwx2, sr(1,n_start), nstart )
!
ELSE
!
if (n_start .le. n_end) &
CALL DGEMM( 'T','N', nstart, my_n, npw2, 2.D0, psi, npwx2, psi(1,n_start), npwx2, 0.D0, sr(1,n_start), nstart )
IF ( gstart == 2 ) CALL DGER( nstart, my_n, -1.D0, psi, npwx2, psi(1,n_start), npwx2, sr(1,n_start), nstart )
!
END IF
CALL mp_sum( sr, inter_bgrp_comm )
!
CALL mp_sum( sr, intra_bgrp_comm )
call stop_clock('rotwfcg:hc'); !write(*,*) 'stop rotwfcg:hc' ; FLUSH(6)
!
! ... Diagonalize
!
call start_clock('rotwfcg:diag'); !write(*,*) 'start rotwfcg:diag' ; FLUSH(6)
CALL rdiaghg( nstart, nbnd, hr, sr, nstart, en, vr )
call stop_clock('rotwfcg:diag'); !write(*,*) 'stop rotwfcg:diag' ; FLUSH(6)
call start_clock('rotwfcg:evc'); !write(*,*) 'start rotwfcg:evc' ; FLUSH(6)
!
e(:) = en(1:nbnd)
!
! ... update the basis set
!
aux=(0.D0,0.D0)
if (n_start .le. n_end) &
CALL DGEMM( 'N','N', npw2, nbnd, my_n, 1.D0, psi(1,n_start), npwx2, vr(n_start,1), nstart, 0.D0, aux, npwx2 )
CALL mp_sum( aux, inter_bgrp_comm )
!
evc(:,:) = aux(:,1:nbnd)
call stop_clock('rotwfcg:evc'); !write(*,*) 'stop rotwfcg:evc' ; FLUSH(6)
!
DEALLOCATE( en )
DEALLOCATE( vr )
DEALLOCATE( sr )
DEALLOCATE( hr )
DEALLOCATE( aux )
call stop_clock('rotwfcg'); !write(*,*) 'stop rotwfcg' ; FLUSH(6)
!call print_clock('rotwfcg')
!call print_clock('rotwfcg:hpsi')
!call print_clock('rotwfcg:hc')
!call print_clock('rotwfcg:diag')
!call print_clock('rotwfcg:evc')
!
RETURN
!
END SUBROUTINE rotate_wfc_gamma
!
!
!----------------------------------------------------------------------------
SUBROUTINE protate_wfc_gamma( h_psi, s_psi, overlap, &
npwx, npw, nstart, nbnd, psi, evc, e )
!----------------------------------------------------------------------------
!
! ... Parallel version of rotate_wfc for Gamma-only calculations
! ... Subroutine with distributed matrices, written by Carlo Cavazzoni
! ... This version assumes real wavefunctions (k=0) with only
! ... half plane waves stored: psi(-G)=psi*(G), except G=0
!
USE cg_param, ONLY : DP, gamma_only
USE mp_bands_util, ONLY : intra_bgrp_comm, inter_bgrp_comm, root_bgrp_id,&
nbgrp, my_bgrp_id
USE mp_bands_util, ONLY : gstart ! index of the first nonzero G
USE mp_diag, ONLY : ortho_comm, np_ortho, me_ortho, ortho_comm_id, leg_ortho, &
ortho_parent_comm, ortho_cntx, do_distr_diag_inside_bgrp
USE descriptors, ONLY : la_descriptor, descla_init
USE parallel_toolkit, ONLY : dsqmsym
USE mp, ONLY : mp_bcast, mp_root_sum, mp_sum, mp_barrier
!
IMPLICIT NONE
!
! ... I/O variables
!
INTEGER :: npw, npwx, nstart, nbnd
! dimension of the matrix to be diagonalized
! leading dimension of matrix psi, as declared in the calling pgm unit
! input number of states
! output number of states
LOGICAL :: overlap
! if .FALSE. : S|psi> not needed
COMPLEX(DP) :: psi(npwx,nstart), evc(npwx,nbnd)
! input and output eigenvectors (may overlap)
REAL(DP) :: e(nbnd)
! eigenvalues
!
! ... local variables:
!
INTEGER :: npw2, npwx2
COMPLEX(DP), ALLOCATABLE :: aux(:,:)
REAL(DP), ALLOCATABLE :: hr(:,:), sr(:,:), vr(:,:)
REAL(DP), ALLOCATABLE :: en(:)
!
TYPE(la_descriptor) :: desc
! matrix distribution descriptors
INTEGER :: nx
! maximum local block dimension
LOGICAL :: la_proc
! flag to distinguish procs involved in linear algebra
TYPE(la_descriptor), ALLOCATABLE :: desc_ip( :, : )
INTEGER, ALLOCATABLE :: rank_ip( :, : )
!
EXTERNAL h_psi, s_psi
! h_psi(npwx,npw,nvec,psi,hpsi)
! calculates H|psi>
! s_psi(npwx,npw,nvec,spsi)
! calculates S|psi> (if needed)
! Vectors psi,hpsi,spsi are dimensioned (npwx,npol,nvec)
call start_clock('protwfcg'); !write(*,*) 'start protwfcg' ; FLUSH(6)
!
ALLOCATE( desc_ip( np_ortho(1), np_ortho(2) ) )
ALLOCATE( rank_ip( np_ortho(1), np_ortho(2) ) )
!
CALL desc_init( nstart, desc, desc_ip )
!
npw2 = 2 * npw
npwx2 = 2 * npwx
IF ( gstart == -1 ) CALL errore( 'regter', 'gstart variable not initialized', 1 )
!
ALLOCATE( aux( npwx, nstart ) )
ALLOCATE( hr( nx, nx ) )
ALLOCATE( sr( nx, nx ) )
ALLOCATE( vr( nx, nx ) )
ALLOCATE( en( nstart ) )
aux=(0.0_DP,0.0_DP)
!
! ... Set up the Hamiltonian and Overlap matrix on the subspace :
!
! ... H_ij = <psi_i| H |psi_j> S_ij = <psi_i| S |psi_j>
!
! ... set Im[ psi(G=0) ] - needed for numerical stability
IF ( gstart == 2 ) &
psi(1,1:nstart) = CMPLX( DBLE( psi(1,1:nstart) ), 0.D0, kind=DP)
!
call start_clock('protwfcg:hpsi'); !write(*,*) 'start protwfcg:hpsi' ; FLUSH(6)
CALL h_psi( npwx, npw, nstart, psi, aux )
call stop_clock('protwfcg:hpsi'); !write(*,*) 'stop protwfcg:hpsi' ; FLUSH(6)
!
call start_clock('protwfcg:hc'); !write(*,*) 'start protwfcg:hc' ; FLUSH(6)
CALL compute_distmat( hr, psi, aux )
!
IF ( overlap ) THEN
!
CALL s_psi( npwx, npw, nstart, psi, aux )
CALL compute_distmat( sr, psi, aux )
!
ELSE
!
CALL compute_distmat( sr, psi, psi )
!
END IF
call stop_clock('protwfcg:hc'); !write(*,*) 'stop protwfcg:hc' ; FLUSH(6)
!
! ... Diagonalize
!
call start_clock('protwfcg:diag'); !write(*,*) 'start protwfcg:diag' ; FLUSH(6)
IF ( do_distr_diag_inside_bgrp ) THEN ! NB on output of prdiaghg en and vr are the same across ortho_parent_comm
! only the first bgrp performs the diagonalization
IF( my_bgrp_id == root_bgrp_id ) CALL prdiaghg( nstart, hr, sr, nx, en, vr, desc )
IF( nbgrp > 1 ) THEN ! results must be brodcast to the other band groups
CALL mp_bcast( vr, root_bgrp_id, inter_bgrp_comm )
CALL mp_bcast( en, root_bgrp_id, inter_bgrp_comm )
ENDIF
ELSE
CALL prdiaghg( nstart, hr, sr, nx, en, vr, desc )
END IF
call stop_clock('protwfcg:diag'); !write(*,*) 'stop protwfcg:diag' ; FLUSH(6)
!
e(:) = en(1:nbnd)
!
! ... update the basis set
!
call start_clock('protwfcg:evc'); !write(*,*) 'start protwfcg:evc' ; FLUSH(6)
CALL refresh_evc( )
!
evc(:,:) = aux(:,1:nbnd)
call stop_clock('protwfcg:evc'); !write(*,*) 'stop protwfcg:evc' ; FLUSH(6)
!
DEALLOCATE( en )
DEALLOCATE( vr )
DEALLOCATE( sr )
DEALLOCATE( hr )
DEALLOCATE( aux )
!
DEALLOCATE( desc_ip )
DEALLOCATE( rank_ip )
call stop_clock('protwfcg'); !write(*,*) 'stop protwfcg' ; FLUSH(6)
!call print_clock('protwfcg')
!call print_clock('protwfcg:hpsi')
!call print_clock('protwfcg:hc')
!call print_clock('protwfcg:diag')
!call print_clock('protwfcg:evc')
!
RETURN
!
CONTAINS
!
SUBROUTINE desc_init( nsiz, desc, desc_ip )
!
INTEGER, INTENT(IN) :: nsiz
TYPE(la_descriptor), INTENT(OUT) :: desc
TYPE(la_descriptor), INTENT(OUT) :: desc_ip(:,:)
INTEGER :: i, j, rank
INTEGER :: coor_ip( 2 )
!
CALL descla_init( desc, nsiz, nsiz, np_ortho, me_ortho, ortho_comm, ortho_cntx, ortho_comm_id )
!
nx = desc%nrcx
!
DO j = 0, desc%npc - 1
DO i = 0, desc%npr - 1
coor_ip( 1 ) = i
coor_ip( 2 ) = j
CALL descla_init( desc_ip(i+1,j+1), desc%n, desc%nx, np_ortho, coor_ip, ortho_comm, ortho_cntx, 1 )
CALL GRID2D_RANK( 'R', desc%npr, desc%npc, i, j, rank )
rank_ip( i+1, j+1 ) = rank * leg_ortho
END DO
END DO
!
la_proc = .FALSE.
IF( desc%active_node > 0 ) la_proc = .TRUE.
!
RETURN
END SUBROUTINE desc_init
!
!
SUBROUTINE compute_distmat( dm, v, w )
!
! This subroutine compute <vi|wj> and store the
! result in distributed matrix dm
!
INTEGER :: ipc, ipr
INTEGER :: nr, nc, ir, ic, root
REAL(DP), INTENT(OUT) :: dm( :, : )
COMPLEX(DP) :: v(:,:), w(:,:)
REAL(DP), ALLOCATABLE :: work( :, : )
!
ALLOCATE( work( nx, nx ) )
!
work = 0.0d0
!
DO ipc = 1, desc%npc ! loop on column procs
!
nc = desc_ip( 1, ipc )%nc
ic = desc_ip( 1, ipc )%ic
!
DO ipr = 1, ipc ! use symmetry for the loop on row procs
!
nr = desc_ip( ipr, ipc )%nr
ir = desc_ip( ipr, ipc )%ir
!
! rank of the processor for which this block (ipr,ipc) is destinated
!
root = rank_ip( ipr, ipc )
! use blas subs. on the matrix block
CALL DGEMM( 'T', 'N', nr, nc, npw2, 2.D0, v(1,ir), npwx2, w(1,ic), npwx2, 0.D0, work, nx )
IF ( gstart == 2 ) &
CALL DGER( nr, nc, -1.D0, v(1,ir), npwx2, w(1,ic), npwx2, work, nx )
! accumulate result on dm of root proc.
CALL mp_root_sum( work, dm, root, ortho_parent_comm )
END DO
!
END DO
if (ortho_parent_comm.ne.intra_bgrp_comm .and. nbgrp > 1) dm = dm/nbgrp
!
CALL dsqmsym( nstart, dm, nx, desc )
!
DEALLOCATE( work )
!
RETURN
END SUBROUTINE compute_distmat
!
!
SUBROUTINE refresh_evc( )
!
INTEGER :: ipc, ipr
INTEGER :: nr, nc, ir, ic, root
REAL(DP), ALLOCATABLE :: vtmp( :, : )
REAL(DP) :: beta
ALLOCATE( vtmp( nx, nx ) )
!
DO ipc = 1, desc%npc
!
nc = desc_ip( 1, ipc )%nc
ic = desc_ip( 1, ipc )%ic
!
IF( ic <= nbnd ) THEN
!
nc = min( nc, nbnd - ic + 1 )
!
beta = 0.0d0
DO ipr = 1, desc%npr
!
nr = desc_ip( ipr, ipc )%nr
ir = desc_ip( ipr, ipc )%ir
!
root = rank_ip( ipr, ipc )
IF( ipr-1 == desc%myr .AND. ipc-1 == desc%myc .AND. la_proc ) THEN
!
! this proc sends his block
!
CALL mp_bcast( vr(:,1:nc), root, ortho_parent_comm )
CALL DGEMM( 'N', 'N', npw2, nc, nr, 1.D0, psi(1,ir), npwx2, vr, nx, beta, aux(1,ic), npwx2 )
ELSE
!
! all other procs receive
!
CALL mp_bcast( vtmp(:,1:nc), root, ortho_parent_comm )
CALL DGEMM( 'N', 'N', npw2, nc, nr, 1.D0, psi(1,ir), npwx2, vtmp, nx, beta, aux(1,ic), npwx2 )
END IF
!
beta = 1.0d0
END DO
!
END IF
!
END DO
!
DEALLOCATE( vtmp )
RETURN
END SUBROUTINE refresh_evc
!
END SUBROUTINE protate_wfc_gamma