quantum-espresso/PP/pw2casino_write.f90

1293 lines
46 KiB
Fortran

!
! Copyright (C) 2004-2009 Dario Alfe' and 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 write_casino_wfn(gather,blip,multiplicity,binwrite,single_precision_blips,n_points_for_test,postfix)
USE kinds, ONLY: DP,sgl
USE ions_base, ONLY : nat, ntyp => nsp, ityp, tau, zv, atm
USE cell_base, ONLY: omega, alat, tpiba2, at, bg
USE printout_base, ONLY: title ! title of the run
USE constants, ONLY: tpi, e2
USE ener, ONLY: ewld, ehart, etxc, vtxc, etot, etxcc, demet, ef
USE fft_base, ONLY: dfftp
USE fft_interfaces, ONLY : fwfft
USE gvect, ONLY: ngm, gstart, g, gg, gcutm, nl, nlm, igtongl
USE klist , ONLY: nks, nelec, xk, wk, degauss, ngauss
USE lsda_mod, ONLY: lsda, nspin
USE scf, ONLY: rho, rho_core, rhog_core, v
USE ldaU, ONLY : eth
USE vlocal, ONLY: vloc, strf
USE wvfct, ONLY: npw, npwx, nbnd, igk, g2kin, wg, et, ecutwfc
USE control_flags, ONLY : gamma_only
USE uspp, ONLY: nkb, vkb, dvan
USE uspp_param, ONLY: nh
USE io_global, ONLY: stdout, ionode, ionode_id
USE io_files, ONLY: nd_nmbr, nwordwfc, iunwfc, prefix
USE wavefunctions_module, ONLY : evc
USE funct, ONLY : dft_is_meta
USE mp_global, ONLY: inter_pool_comm, intra_pool_comm, nproc_pool, me_pool
USE mp, ONLY: mp_sum, mp_gather, mp_bcast, mp_get
USE pw2blip
IMPLICIT NONE
LOGICAL, INTENT(in) :: gather,blip,binwrite,single_precision_blips
REAL(dp), INTENT(in) :: multiplicity
INTEGER, INTENT(in) :: n_points_for_test
CHARACTER(*), INTENT(in) :: postfix
INTEGER, PARAMETER :: n_overlap_tests = 12
REAL(dp), PARAMETER :: eps = 1.d-10
INTEGER, PARAMETER :: io = 77, iob = 78
INTEGER :: ig, ibnd, ik, ispin, nbndup, nbnddown, &
nk, ig7, ikk, id, ip, iorb, iorb_node, inode, ierr, norb
INTEGER :: jk(nproc_pool), jspin(nproc_pool), jbnd(nproc_pool)
INTEGER :: jk2(nproc_pool), jspin2(nproc_pool), jbnd2(nproc_pool)
INTEGER, ALLOCATABLE :: idx(:), igtog(:), gtoig(:)
LOGICAL :: exst,dowrite
REAL(DP) :: ek, eloc, enl
INTEGER, EXTERNAL :: atomic_number
REAL (DP), EXTERNAL :: ewald, w1gauss
! number of g vectors (union of all k points)
INTEGER ngtot_l ! on this processor
INTEGER, ALLOCATABLE :: ngtot_d(:), ngtot_cumsum(:), indx(:)
INTEGER ngtot_g ! sum over processors
REAL(DP), ALLOCATABLE :: g_l(:,:), g_g(:,:), g2(:)
COMPLEX(DP), ALLOCATABLE :: evc_l(:), evc_g(:), evc_g2(:), avc_tmp(:,:,:), cavc_tmp(:,:,:)
LOGICAL dotransform
REAL(dp) :: av_overlap(5,2),avsq_overlap(5,2)
!----------------------------------------------------------------------------!
! Random number generator, using the method suggested by D.E. Knuth in !
! Seminumerical Algorithms (vol 2 of The Art of Computer Programming). !
! The method is based on lagged Fibonacci sequences with subtraction. !
!----------------------------------------------------------------------------!
INTEGER,PARAMETER :: KK=100,LL=37 ! Leave these.
REAL(DP) :: ranstate(kk) ! Determines output of gen_ran_array.
INTEGER,PARAMETER :: default_seed=310952 ! Random seed, betw. 0 & 2^30-3.
INTEGER,PARAMETER :: Nran=1009,Nkeep=100 ! See comment on p. 188 of Knuth.
INTEGER,SAVE :: ran_array_idx=-1
REAL(DP),SAVE :: ran_array(Nran)
dowrite=ionode.or..not.(gather.or.blip)
ALLOCATE (idx (ngm) )
ALLOCATE (igtog (ngm) )
ALLOCATE (gtoig (ngm) )
idx(:) = 0
igtog(:) = 0
IF( lsda )THEN
nbndup = nbnd
nbnddown = nbnd
nk = nks/2
! nspin = 2
ELSE
nbndup = nbnd
nbnddown = 0
nk = nks
! nspin = 1
ENDIF
CALL calc_energies
DO ispin = 1, nspin
DO ik = 1, nk
ikk = ik + nk*(ispin-1)
CALL gk_sort (xk (1:3, ikk), ngm, g(1:3,1:ngm), ecutwfc / tpiba2, & ! input
&npw, igk, g2kin) ! output
idx( igk(1:npw) ) = 1
ENDDO
ENDDO
ngtot_l = 0
DO ig = 1, ngm
IF( idx(ig) >= 1 )THEN
ngtot_l = ngtot_l + 1
igtog(ngtot_l) = ig
gtoig(ig) = ngtot_l
ENDIF
ENDDO
DEALLOCATE (idx)
IF(dowrite)THEN
IF(blip)THEN
IF(binwrite)THEN
WRITE (6,'(a)')'Writing file '//trim(prefix)//'.bwfn.data.b1'//trim(postfix)//' for program CASINO.'
OPEN( iob, file=trim(prefix)//'.bwfn.data.b1'//trim(postfix), form='unformatted', action='write', access='sequential')
ELSE
WRITE (6,'(a)')'Writing file '//trim(prefix)//'.bwfn.data'//trim(postfix)//' for program CASINO.'
OPEN( io, file=trim(prefix)//'.bwfn.data'//trim(postfix), form='formatted', action='write', access='sequential')
ENDIF
ELSE
IF(gather)THEN
WRITE (6,'(a)')'Writing file '//trim(prefix)//'.pwfn.data'//trim(postfix)//' for program CASINO.'
OPEN( io, file=trim(prefix)//'.pwfn.data'//trim(postfix), form='formatted', action='write', access='sequential')
ELSE
WRITE (6,'(a)')'Writing one file per node '//trim(prefix)//'.pwfn.data'//trim(postfix)//'.XX for program CASINO'
CALL seqopn( io, 'pwfn.data'//trim(postfix), 'formatted',exst)
ENDIF
ENDIF
WRITE (6,'(a)')
ENDIF
ALLOCATE ( g_l(3,ngtot_l), evc_l(ngtot_l) )
DO ig = 1, ngtot_l
g_l(:,ig) = g(:,igtog(ig))
ENDDO
IF(gather.or.blip)THEN
ALLOCATE ( ngtot_d(nproc_pool), ngtot_cumsum(nproc_pool) )
CALL mp_gather( ngtot_l, ngtot_d, ionode_id, intra_pool_comm )
CALL mp_bcast( ngtot_d, ionode_id, intra_pool_comm )
id = 0
DO ip = 1,nproc_pool
ngtot_cumsum(ip) = id
id = id + ngtot_d(ip)
ENDDO
ngtot_g = id
ALLOCATE ( g_g(3,ngtot_g), g2(ngtot_g), evc_g(ngtot_g) )
IF(blip.and.gamma_only)THEN
ALLOCATE( evc_g2(ngtot_g) )
ENDIF
CALL mp_gather( g_l, g_g, ngtot_d, ngtot_cumsum, ionode_id, intra_pool_comm)
IF(blip)THEN
CALL mp_bcast( g_g, ionode_id, intra_pool_comm )
g2(:) = sum(g_g(:,:)**2,dim=1)
CALL pw2blip_init(ngtot_g,g_g,multiplicity)
IF(dowrite)THEN
WRITE (6,'(a)')'Blip grid: '//trim(i2s(blipgrid(1)))//'x'//trim(i2s(blipgrid(2)))//'x'//trim(i2s(blipgrid(3)))
WRITE (6,'(a)')
ENDIF
ELSEIF(dowrite)THEN
ALLOCATE ( indx(ngtot_g) )
CALL create_index2(g_g,indx)
ENDIF
ELSEIF(dowrite)THEN
ALLOCATE ( indx(ngtot_l) )
CALL create_index2(g_l,indx)
ENDIF
IF(dowrite)THEN
CALL write_header
IF(blip)THEN
CALL write_gvecs_blip
ELSEIF(gather)THEN
CALL write_gvecs(g_g,indx)
ELSE
CALL write_gvecs(g_l,indx)
ENDIF
CALL write_wfn_head
ENDIF
IF(dowrite.and.blip.and.binwrite)THEN
IF(gamma_only)THEN
ALLOCATE(avc_tmp(blipgrid(1),blipgrid(2),blipgrid(3)))
ELSE
ALLOCATE(cavc_tmp(blipgrid(1),blipgrid(2),blipgrid(3)))
ENDIF
ENDIF
! making some assumptions about the parallel layout:
IF(ionode_id/=0)CALL errore('write_casino_wfn','ionode_id/=0: ',ionode_id)
iorb = 0
norb = nk*nspin*nbnd
DO ik = 1, nk
DO ispin = 1, nspin
ikk = ik + nk*(ispin-1)
IF( nks > 1 )THEN
CALL gk_sort (xk (1:3, ikk), ngm, g(1:3,1:ngm), ecutwfc / tpiba2, & ! input
&npw, igk, g2kin) ! output
CALL davcio(evc,nwordwfc,iunwfc,ikk,-1)
ENDIF
DO ibnd = 1, nbnd
evc_l(:) = (0.d0, 0d0)
evc_l(gtoig(igk(1:npw))) = evc(1:npw,ibnd)
IF(blip)THEN
iorb = iorb + 1
IF(gamma_only)THEN
iorb_node = mod((iorb-1)/2,nproc_pool) ! the node that should compute this orbital
IF(mod(iorb,2)==0)THEN
jk2(iorb_node+1) = ik
jspin2(iorb_node+1) = ispin
jbnd2(iorb_node+1) = ibnd
dotransform = (iorb_node==nproc_pool-1)
ELSE
jk(iorb_node+1) = ik
jspin(iorb_node+1) = ispin
jbnd(iorb_node+1) = ibnd
dotransform = .false.
ENDIF
ELSE
iorb_node = mod(iorb-1,nproc_pool) ! the node that should compute this orbital
jk(iorb_node+1) = ik
jspin(iorb_node+1) = ispin
jbnd(iorb_node+1) = ibnd
dotransform=(iorb_node==nproc_pool-1)
ENDIF
DO inode=0,nproc_pool-1
IF(gamma_only.and.mod(iorb,2)==0)THEN
CALL mp_get(&
evc_g2(ngtot_cumsum(inode+1)+1:ngtot_cumsum(inode+1)+ngtot_d(inode+1)),&
evc_l(:),me_pool,iorb_node,inode,1234,intra_pool_comm)
ELSE
CALL mp_get(&
evc_g(ngtot_cumsum(inode+1)+1:ngtot_cumsum(inode+1)+ngtot_d(inode+1)),&
evc_l(:),me_pool,iorb_node,inode,1234,intra_pool_comm)
ENDIF
ENDDO
IF(dotransform .or. iorb == norb)THEN
IF(me_pool <= iorb_node)THEN
IF(gamma_only.and.(me_pool/=iorb_node.or.iorb/=norb.or.mod(norb,2)==0))THEN
CALL pw2blip_transform2(evc_g(:),evc_g2(:))
ELSE
CALL pw2blip_transform(evc_g(:))
ENDIF
ENDIF
IF(me_pool <= iorb_node) CALL test_overlap
DO inode=0,iorb_node
CALL pw2blip_get(inode)
IF(gamma_only)THEN
IF(ionode)WRITE(6,*)"Transformed real orbital k="//trim(i2s(jk(inode+1)))//&
&", spin="//trim(i2s(jspin(inode+1)))//&
&", band="//trim(i2s(jbnd(inode+1)))//" on node "//trim(i2s(inode))
CALL print_overlap(inode,1)
IF(blipreal==2)THEN
IF(ionode)WRITE(6,*)"Transformed real orbital k="//trim(i2s(jk2(inode+1)))//&
&", spin="//trim(i2s(jspin2(inode+1)))//&
&", band="//trim(i2s(jbnd2(inode+1)))//" on node "//trim(i2s(inode))
ENDIF
CALL print_overlap(inode,2)
ELSE
IF(ionode)WRITE(6,*)"Transformed complex orbital k="//trim(i2s(jk(inode+1)))//&
&", spin="//trim(i2s(jspin(inode+1)))//&
&", band="//trim(i2s(jbnd(inode+1)))//" on node "//trim(i2s(inode))
CALL print_overlap(inode,1)
ENDIF
IF(gamma_only)THEN
IF(ionode)CALL write_bwfn_data_gamma(1,jk(inode+1),jspin(inode+1),jbnd(inode+1))
IF(blipreal==2)THEN
IF(ionode)CALL write_bwfn_data_gamma(2,jk2(inode+1),jspin2(inode+1),jbnd2(inode+1))
ENDIF
ELSE
IF(ionode)CALL write_bwfn_data(jk(inode+1),jspin(inode+1),jbnd(inode+1))
ENDIF
ENDDO
ENDIF
ELSEIF(gather)THEN
CALL mp_gather( evc_l, evc_g, ngtot_d, ngtot_cumsum, ionode_id, intra_pool_comm)
IF(dowrite)CALL write_pwfn_data(ik,ispin,ibnd,evc_g,indx)
ELSE
CALL write_pwfn_data(ik,ispin,ibnd,evc_l,indx)
ENDIF
ENDDO
ENDDO
ENDDO
IF(dowrite)THEN
IF(binwrite)THEN
CLOSE(iob)
ELSE
CLOSE(io)
ENDIF
ENDIF
IF(dowrite.and.blip.and.binwrite)THEN
IF(gamma_only)THEN
DEALLOCATE(avc_tmp)
ELSE
DEALLOCATE(cavc_tmp)
ENDIF
ENDIF
IF(blip)CALL pw2blip_cleanup
DEALLOCATE (igtog, g_l, evc_l )
IF(blip.or.gather) DEALLOCATE ( ngtot_d, ngtot_cumsum, g_g, evc_g )
IF(dowrite.and..not.blip) DEALLOCATE (indx)
CONTAINS
SUBROUTINE calc_energies
USE becmod, ONLY: becp, calbec, allocate_bec_type, deallocate_bec_type
COMPLEX(DP), ALLOCATABLE :: aux(:)
INTEGER :: ibnd, j, ig, ik, ikk, ispin, na, nt, ijkb0, ikb, ih, jh, jkb
REAL(DP) :: charge, etotefield, elocg
ALLOCATE (aux(dfftp%nnr))
CALL allocate_bec_type ( nkb, nbnd, becp )
ek = 0.d0
eloc= 0.d0
enl = 0.d0
demet=0.d0
!
DO ispin = 1, nspin
!
! calculate the local contribution to the total energy
!
! bring rho to G-space
!
aux(:) = cmplx( rho%of_r(:,ispin), 0.d0,kind=DP)
CALL fwfft ('Dense', aux, dfftp)
!
DO nt=1,ntyp
DO ig = 1, ngm
elocg = vloc(igtongl(ig),nt) * &
dble ( strf(ig,nt) * conjg(aux(nl(ig))) )
eloc = eloc + elocg
IF( gamma_only .and. ig>=gstart) eloc = eloc + elocg
ENDDO
ENDDO
DO ik = 1, nk
ikk = ik + nk*(ispin-1)
CALL gk_sort (xk (1, ikk), ngm, g, ecutwfc / tpiba2, npw, igk, g2kin)
CALL davcio (evc, nwordwfc, iunwfc, ikk, - 1)
CALL init_us_2 (npw, igk, xk (1, ikk), vkb)
CALL calbec ( npw, vkb, evc, becp )
!
! -TS term for metals (ifany)
!
IF( degauss > 0.0_dp)THEN
DO ibnd = 1, nbnd
demet = demet + wk (ik) * &
degauss * w1gauss ( (ef-et(ibnd,ik)) / degauss, ngauss)
ENDDO
ENDIF
!
! calculate the kinetic energy
!
DO ibnd = 1, nbnd
DO j = 1, npw
IF(gamma_only)THEN !.and.j>1)then
ek = ek + 2*conjg(evc(j,ibnd)) * evc(j,ibnd) * &
g2kin(j) * wg(ibnd,ikk)
ELSE
ek = ek + conjg(evc(j,ibnd)) * evc(j,ibnd) * &
g2kin(j) * wg(ibnd,ikk)
ENDIF
ENDDO
!
! Calculate Non-local energy
!
ijkb0 = 0
DO nt = 1, ntyp
DO na = 1, nat
IF(ityp (na) == nt)THEN
DO ih = 1, nh (nt)
ikb = ijkb0 + ih
IF(gamma_only)THEN
enl=enl+becp%r(ikb,ibnd)*becp%r(ikb,ibnd) &
*wg(ibnd,ikk)* dvan(ih,ih,nt)
ELSE
enl=enl+conjg(becp%k(ikb,ibnd))*becp%k(ikb,ibnd) &
*wg(ibnd,ikk)* dvan(ih,ih,nt)
ENDIF
DO jh = ( ih + 1 ), nh(nt)
jkb = ijkb0 + jh
IF(gamma_only)THEN
enl=enl + &
(becp%r(ikb,ibnd)*becp%r(jkb,ibnd)+&
becp%r(jkb,ibnd)*becp%r(ikb,ibnd))&
* wg(ibnd,ikk) * dvan(ih,jh,nt)
ELSE
enl=enl + &
(conjg(becp%k(ikb,ibnd))*becp%k(jkb,ibnd)+&
conjg(becp%k(jkb,ibnd))*becp%k(ikb,ibnd))&
* wg(ibnd,ikk) * dvan(ih,jh,nt)
ENDIF
ENDDO
ENDDO
ijkb0 = ijkb0 + nh (nt)
ENDIF
ENDDO
ENDDO
ENDDO
ENDDO
ENDDO
#ifdef __PARA
CALL mp_sum( eloc, intra_pool_comm )
CALL mp_sum( ek, intra_pool_comm )
CALL mp_sum( ek, inter_pool_comm )
CALL mp_sum( enl, inter_pool_comm )
CALL mp_sum( demet, inter_pool_comm )
#endif
eloc = eloc * omega
ek = ek * tpiba2
!
! compute ewald contribution
!
ewld = ewald( alat, nat, ntyp, ityp, zv, at, bg, tau, omega, &
g, gg, ngm, gcutm, gstart, gamma_only, strf )
!
! compute hartree and xc contribution
!
CALL v_of_rho( rho, rho_core, rhog_core, &
ehart, etxc, vtxc, eth, etotefield, charge, v )
!
etot=(ek + (etxc-etxcc)+ehart+eloc+enl+ewld)+demet
CALL deallocate_bec_type (becp)
DEALLOCATE (aux)
WRITE (stdout,*)
WRITE (stdout,*) 'Energies determined by pw2casino tool'
WRITE (stdout,*) '-------------------------------------'
WRITE (stdout,*) 'Kinetic energy ', ek/e2, ' au = ', ek, ' Ry'
WRITE (stdout,*) 'Local energy ', eloc/e2, ' au = ', eloc, ' Ry'
WRITE (stdout,*) 'Non-Local energy ', enl/e2, ' au = ', enl, ' Ry'
WRITE (stdout,*) 'Ewald energy ', ewld/e2, ' au = ', ewld, ' Ry'
WRITE (stdout,*) 'xc contribution ',(etxc-etxcc)/e2, ' au = ', etxc-etxcc, ' Ry'
WRITE (stdout,*) 'hartree energy ', ehart/e2, ' au = ', ehart, ' Ry'
IF( degauss > 0.0_dp ) &
WRITE (stdout,*) 'Smearing (-TS) ', demet/e2, ' au = ', demet, ' Ry'
WRITE (stdout,*) 'Total energy ', etot/e2, ' au = ', etot, ' Ry'
WRITE (stdout,*)
END SUBROUTINE calc_energies
SUBROUTINE test_overlap
! Carry out the overlap test described in the CASINO manual.
! Repeat the whole test n_overlap_tests times, to compute error bars.
INTEGER i,j,k
REAL(dp) r(3)
COMPLEX(dp) xb(5),xp(5) ! 1->val, 2:4->grad, 5->lap
REAL(dp) xbb(5,2),xpp(5,2)
COMPLEX(dp) xbp(5,2)
REAL(dp) overlap(5,2),sum_overlap(5,2),sumsq_overlap(5,2)
IF(n_points_for_test<=0)RETURN
IF(n_overlap_tests<=0)RETURN
CALL init_rng(12345678)
sum_overlap(:,:)=0.d0 ; sumsq_overlap(:,:)=0.d0
DO j=1,n_overlap_tests
xbb(:,:)=0.d0 ; xpp(:,:)=0.d0 ; xbp(:,:)=0.d0
DO i=1,n_points_for_test
r(1)=ranx() ; r(2)=ranx() ; r(3)=ranx()
CALL blipeval(r,xb(1),xb(2:4),xb(5))
CALL pweval(r,xp(1),xp(2:4),xp(5))
IF(gamma_only)THEN
xbb(:,1)=xbb(:,1)+dble(xb(:))**2
xbp(:,1)=xbp(:,1)+dble(xb(:))*dble(xp(:))
xpp(:,1)=xpp(:,1)+dble(xp(:))**2
IF(blipreal==2)THEN
! two orbitals - use complex and imaginary part independently
xbb(:,2)=xbb(:,2)+aimag(xb(:))**2
xbp(:,2)=xbp(:,2)+aimag(xb(:))*aimag(xp(:))
xpp(:,2)=xpp(:,2)+aimag(xp(:))**2
ENDIF
ELSE
xbb(:,1)=xbb(:,1)+dble(xb(:))**2+aimag(xb(:))**2
xbp(:,1)=xbp(:,1)+xb(:)*conjg(xp(:))
xpp(:,1)=xpp(:,1)+dble(xp(:))**2+aimag(xp(:))**2
ENDIF
ENDDO ! i
overlap(:,:)=0.d0
DO k=1,5
IF(xbb(k,1)/=0.d0.and.xpp(k,1)/=0.d0)THEN
overlap(k,1)=(dble(xbp(k,1))**2+aimag(xbp(k,1))**2)/(xbb(k,1)*xpp(k,1))
ENDIF ! xb & xd nonzero
ENDDO ! k
IF(blipreal==2)THEN
DO k=1,5
IF(xbb(k,2)/=0.d0.and.xpp(k,2)/=0.d0)THEN
overlap(k,2)=(dble(xbp(k,2))**2+aimag(xbp(k,2))**2)/(xbb(k,2)*xpp(k,2))
ENDIF ! xb & xd nonzero
ENDDO ! k
ELSE
ENDIF
sum_overlap(:,:)=sum_overlap(:,:)+overlap(:,:)
sumsq_overlap(:,:)=sumsq_overlap(:,:)+overlap(:,:)**2
ENDDO ! j
av_overlap(:,:)=sum_overlap(:,:)/dble(n_overlap_tests)
avsq_overlap(:,:)=sumsq_overlap(:,:)/dble(n_overlap_tests)
END SUBROUTINE test_overlap
SUBROUTINE pweval(r,val,grad,lap)
DOUBLE PRECISION,INTENT(in) :: r(3)
COMPLEX(dp),INTENT(out) :: val,grad(3),lap
INTEGER ig
REAL(dp) dot_prod
COMPLEX(dp) eigr,eigr2
REAL(dp),PARAMETER :: pi=3.141592653589793238462643d0
COMPLEX(dp),PARAMETER :: iunity=(0.d0,1.d0)
val=0.d0 ; grad(:)=0.d0 ; lap=0.d0
DO ig=1,ngtot_g
dot_prod=tpi*sum(dble(g_int(:,ig))*r(:))
eigr=evc_g(ig)*cmplx(cos(dot_prod),sin(dot_prod),dp)
IF(.not.gamma_only)THEN
val=val+eigr
grad(:)=grad(:)+(eigr*iunity)*dble(g_int(:,ig))
lap=lap-eigr*g2(ig)
ELSEIF(blipreal==1)THEN
IF(all(g_int(:,ig)==0))eigr=eigr*0.5d0
val=val+dble(eigr)
grad(:)=grad(:)-aimag(eigr)*dble(g_int(:,ig))
lap=lap-dble(eigr)*g2(ig)
ELSEIF(blipreal==2)THEN
eigr2=evc_g2(ig)*cmplx(cos(dot_prod),sin(dot_prod),dp)
IF(all(g_int(:,ig)==0))THEN
eigr=eigr*0.5d0
eigr2=eigr2*0.5d0
ENDIF
val=val+cmplx(dble(eigr),dble(eigr2))
grad(:)=grad(:)+cmplx(-aimag(eigr),-aimag(eigr2))*dble(g_int(:,ig))
lap=lap-cmplx(dble(eigr),dble(eigr2))*g2(ig)
ENDIF
ENDDO ! ig
IF(gamma_only)THEN
val = val*2.d0
grad(:) = grad(:)*2.d0
lap = lap*2.d0
ENDIF
grad(:)=matmul(bg(:,:),grad(:))*(tpi/alat)
lap=lap*(tpi/alat)**2
END SUBROUTINE pweval
SUBROUTINE print_overlap(inode,whichband)
!-------------------------------------------------------------------------!
! Write out the overlaps of the value, gradient and Laplacian of the blip !
! orbitals. Give error bars where possible. !
!-------------------------------------------------------------------------!
INTEGER,INTENT(in) :: inode
INTEGER,INTENT(in) :: whichband ! 1 or 2, indexing within a pair of real orbitals
REAL(dp) :: av(5),avsq(5),err(5)
INTEGER k
CHARACTER(12) char12_arr(5)
IF(n_points_for_test<=0)RETURN
IF(n_overlap_tests<=0)RETURN
CALL mp_get(av(:),av_overlap(:,whichband),me_pool,ionode_id,inode,6434,intra_pool_comm)
CALL mp_get(avsq(:),avsq_overlap(:,whichband),me_pool,ionode_id,inode,6434,intra_pool_comm)
IF(.not.ionode)RETURN
IF(blipreal==1.and.whichband==2)RETURN
IF(n_overlap_tests<2)THEN
WRITE(stdout,*)'Error: need at least two overlap tests, to estimate error bars.'
STOP
ENDIF ! Too few overlap tests
err(:)=sqrt(max(avsq(:)-av(:)**2,0.d0)/dble(n_overlap_tests-1))
DO k=1,5
char12_arr(k)=trim(write_mean(av(k),err(k)))
! Not room to quote error bar. Just quote mean.
IF(index(char12_arr(k),')')==0)WRITE(char12_arr(k),'(f12.9)')av(k)
ENDDO ! k
WRITE(stdout,'(2(1x,a),2x,3(1x,a))')char12_arr(1:5)
END SUBROUTINE print_overlap
FUNCTION to_c80(c)
CHARACTER(*),INTENT(in) :: c
CHARACTER(80) :: to_c80
to_c80=c
END FUNCTION to_c80
SUBROUTINE write_header
INTEGER j, na, nt, at_num
REAL(dp) :: kvec(3,nk),ksq(nk),kprod(6,nk)
IF(binwrite)THEN
WRITE(iob)&
to_c80(title) ,&
to_c80("PWSCF") ,&
to_c80("DFT") ,&
to_c80("unknown"),&
to_c80("unknown"),&
dble(ecutwfc/2) ,&
lsda ,&
dble(etot/e2) ,&
dble(ek/e2) ,&
dble(eloc/e2) ,&
dble(enl/e2) ,&
dble(ehart/e2) ,&
dble(ewld/e2) ,&
nint(nelec) ,&
nat ,&
ngtot_g ,&
nk ,&
blipgrid(1:3) ,&
nbnd ,&
gamma_only ,&
.true. ,&
(/0,0/) ,&
alat*at(1:3,1) ,&
alat*at(1:3,2) ,&
alat*at(1:3,3) ,&
2 ,&
nbnd
! some old PGI compiler seems to choke on this commented version....
! to_c80(title) ,& ! title
! to_c80("PWSCF") ,& ! code
! to_c80("DFT") ,& ! method
! to_c80("unknown"),& ! functional
! to_c80("unknown"),& ! pseudo_type
! dble(ecutwfc/2) ,& ! plane_wave_cutoff
! lsda ,& ! spin_polarized,
! dble(etot/e2) ,& ! total_energy
! dble(ek/e2) ,& ! kinetic_energy
! dble(eloc/e2) ,& ! local_potential_energy
! dble(enl/e2) ,& ! non_local_potential_energy
! dble(ehart/e2) ,& ! electron_electron_energy
! dble(ewld/e2) ,& ! eionion
! nint(nelec) ,& ! num_electrons
! nat ,& ! nbasis
! ngtot_g ,& ! nwvec
! nk ,& ! nkvec
! blipgrid(1:3) ,& ! nr
! nbnd ,& ! maxband
! gamma_only ,& ! gamma_only
! .true. ,& ! ext_orbs_present
! (/0,0/) ,& ! no_loc_orbs
! alat*at(1:3,1) ,& ! pa1
! alat*at(1:3,2) ,& ! pa2
! alat*at(1:3,3) ,& ! pa3
! 2 ,& ! nspin_check
! nbnd ! num_nonloc_max
kvec(:,:) = tpi/alat*xk(1:3,1:nk)
kprod(1,:)=kvec(1,:)*kvec(1,:)
kprod(2,:)=kvec(2,:)*kvec(2,:)
kprod(3,:)=kvec(3,:)*kvec(3,:)
kprod(4,:)=kvec(1,:)*kvec(2,:)
kprod(5,:)=kvec(1,:)*kvec(3,:)
kprod(6,:)=kvec(2,:)*kvec(3,:)
ksq(:)=kprod(1,:)+kprod(2,:)+kprod(3,:)
WRITE(iob)&
kvec ,&
ksq ,&
kprod ,&
(atomic_number(trim(atm(ityp(na)))),na=1,nat) ,&
(alat*tau(1:3,na),na=1,nat) ,&
(nbnd,j=1,nk*2) ,&
et(1:nbnd,1:nk*nspin)/e2 ,&
(.true.,j=1,nbnd*nk*nspin) ,&
(/nbnd,nbnd/)
! kvec ,& ! kvec
! ksq ,& ! ksq
! kprod ,& ! kprod
! (atomic_number(trim(atm(ityp(na)))),na=1,nat) ,& ! atno -- atomic numbers
! (alat*tau(1:3,na),na=1,nat) ,& ! basis -- atom positions
! (nbnd,j=1,nk*2) ,& ! nband
! et(1:nbnd,1:nk*nspin)/e2 ,& ! eigenvalue
! (.true.,j=1,nbnd*nk*nspin) ,& ! on_this_cpu
! (/nbnd,nbnd/) ! num_nonloc
WRITE(iob)single_precision_blips ! single_precision_blips
! IF(no_loc_orbs>0)THEN
! ...
! ENDIF
WRITE(iob)&
(0,j=1,nbnd*nk*2) ,&
(0,j=1,nbnd*nk*2) ,&
(0,j=1,nbnd*nk*2) ,&
(0,j=1,nbnd*nk*2)
! (0,j=1,nbnd*nk*2) ,& ! orb_map_band
! (0,j=1,nbnd*nk*2) ,& ! orb_map_ik
! (0,j=1,nbnd*nk*2) ,& ! orb_map_iorb
! (0,j=1,nbnd*nk*2) ! occupied
RETURN
ENDIF
WRITE(io,'(a)') title
WRITE(io,'(a)')
WRITE(io,'(a)') ' BASIC INFO'
WRITE(io,'(a)') ' ----------'
WRITE(io,'(a)') ' Generated by:'
WRITE(io,'(a)') ' PWSCF'
WRITE(io,'(a)') ' Method:'
WRITE(io,'(a)') ' DFT'
WRITE(io,'(a)') ' DFT Functional:'
WRITE(io,'(a)') ' unknown'
WRITE(io,'(a)') ' Pseudopotential'
WRITE(io,'(a)') ' unknown'
WRITE(io,'(a)') ' Plane wave cutoff (au)'
WRITE(io,*) ecutwfc/2
WRITE(io,'(a)') ' Spin polarized:'
WRITE(io,*)lsda
IF( degauss > 0.0_dp )THEN
WRITE(io,'(a)') ' Total energy (au per primitive cell; includes -TS term)'
WRITE(io,*)etot/e2, demet/e2
ELSE
WRITE(io,'(a)') ' Total energy (au per primitive cell)'
WRITE(io,*)etot/e2
ENDIF
WRITE(io,'(a)') ' Kinetic energy (au per primitive cell)'
WRITE(io,*)ek/e2
WRITE(io,'(a)') ' Local potential energy (au per primitive cell)'
WRITE(io,*)eloc/e2
WRITE(io,'(a)') ' Non local potential energy(au per primitive cell)'
WRITE(io,*)enl/e2
WRITE(io,'(a)') ' Electron electron energy (au per primitive cell)'
WRITE(io,*)ehart/e2
WRITE(io,'(a)') ' Ion-ion energy (au per primitive cell)'
WRITE(io,*)ewld/e2
WRITE(io,'(a)') ' Number of electrons per primitive cell'
WRITE(io,*)nint(nelec)
! uncomment the following ifyou want the Fermi energy - KN 2/4/09
! WRITE(io,'(a)') ' Fermi energy (au)'
! WRITE(io,*) ef/e2
WRITE(io,'(a)') ' '
WRITE(io,'(a)') ' GEOMETRY'
WRITE(io,'(a)') ' -------- '
WRITE(io,'(a)') ' Number of atoms per primitive cell '
WRITE(io,*) nat
WRITE(io,'(a)')' Atomic number and position of the atoms(au) '
DO na = 1, nat
nt = ityp(na)
at_num = atomic_number(trim(atm(nt)))
WRITE(io,'(i6,3f20.14)') at_num, (alat*tau(j,na),j=1,3)
ENDDO
WRITE(io,'(a)') ' Primitive lattice vectors (au) '
WRITE(io,100) alat*at(1,1), alat*at(2,1), alat*at(3,1)
WRITE(io,100) alat*at(1,2), alat*at(2,2), alat*at(3,2)
WRITE(io,100) alat*at(1,3), alat*at(2,3), alat*at(3,3)
WRITE(io,'(a)') ' '
100 FORMAT (3(1x,f20.15))
END SUBROUTINE write_header
SUBROUTINE write_gvecs(g,indx)
REAL(DP),INTENT(in) :: g(:,:)
INTEGER,INTENT(in) :: indx(:)
INTEGER ig
IF(binwrite)RETURN
WRITE(io,'(a)') ' G VECTORS'
WRITE(io,'(a)') ' ---------'
WRITE(io,'(a)') ' Number of G-vectors'
WRITE(io,*) size(g,2)
WRITE(io,'(a)') ' Gx Gy Gz (au)'
DO ig = 1, size(g,2)
WRITE(io,'(3(1x,f20.15))') &
&tpi/alat*g(1,indx(ig)),tpi/alat*g(2,indx(ig)),tpi/alat*g(3,indx(ig))
ENDDO
WRITE(io,'(a)') ' '
END SUBROUTINE write_gvecs
SUBROUTINE write_gvecs_blip
IF(binwrite)RETURN
WRITE(io,'(a)') ' G VECTORS'
WRITE(io,'(a)') ' ---------'
WRITE(io,'(a)') ' Number of G-vectors'
WRITE(io,*) 0
WRITE(io,'(a)') ' Gx Gy Gz (au)'
WRITE(io,'(a)') ' Blip grid'
WRITE(io,'(3(1x,3i4))') blipgrid
WRITE(io,'(a)') ' '
END SUBROUTINE write_gvecs_blip
SUBROUTINE write_wfn_head
IF(binwrite)RETURN
WRITE(io,'(a)') ' WAVE FUNCTION'
WRITE(io,'(a)') ' -------------'
WRITE(io,'(a)') ' Number of k-points'
WRITE(io,*) nk
END SUBROUTINE write_wfn_head
SUBROUTINE write_pwfn_data(ik,ispin,ibnd,evc,indx)
INTEGER,INTENT(in) :: ik,ispin,ibnd
COMPLEX(DP),INTENT(in) :: evc(:)
INTEGER,INTENT(in) :: indx(:)
INTEGER ig,j,ikk
IF(binwrite)RETURN
ikk = ik + nk*(ispin-1)
IF(ispin==1.and.ibnd==1)THEN
WRITE(io,'(a)') ' k-point # ; # of bands (up spin/down spin); &
& k-point coords (au)'
WRITE(io,'(3i4,3f20.16)') ik, nbndup, nbnddown, &
(tpi/alat*xk(j,ik),j=1,3)
ENDIF
IF(binwrite)RETURN
! KN: if you want to print occupancies, replace these two lines ...
WRITE(io,'(a)') ' Band, spin, eigenvalue (au)'
WRITE(io,*) ibnd, ispin, et(ibnd,ikk)/e2
! ...with the following two - KN 2/4/09
! WRITE(io,'(a)') ' Band, spin, eigenvalue (au), occupation number'
! WRITE(io,*) ibnd, ispin, et(ibnd,ikk)/e2, wg(ibnd,ikk)/wk(ikk)
WRITE(io,'(a)') ' Eigenvectors coefficients'
DO ig=1, size(indx,1)
WRITE(io,*)evc(indx(ig))
ENDDO
END SUBROUTINE write_pwfn_data
SUBROUTINE write_bwfn_data(ik,ispin,ibnd)
INTEGER,INTENT(in) :: ik,ispin,ibnd
INTEGER lx,ly,lz,ikk,j,l1,l2,l3
IF(binwrite)THEN
DO l3=1,blipgrid(3)
DO l2=1,blipgrid(2)
DO l1=1,blipgrid(1)
cavc_tmp(l1,l2,l3) = cavc(l1-1,l2-1,l3-1)
ENDDO
ENDDO
ENDDO
IF(single_precision_blips)THEN
WRITE(iob)cmplx(cavc_tmp(:,:,:),kind=sgl)
ELSE
WRITE(iob)cmplx(cavc_tmp(:,:,:),kind=DP)
ENDIF
RETURN
ENDIF
ikk = ik + nk*(ispin-1)
IF(ispin==1.and.ibnd==1)THEN
WRITE(io,'(a)') ' k-point # ; # of bands (up spin/down spin); &
& k-point coords (au)'
WRITE(io,'(3i4,3f20.16)') ik, nbndup, nbnddown, &
(tpi/alat*xk(j,ik),j=1,3)
ENDIF
! KN: if you want to print occupancies, replace these two lines ...
WRITE(io,'(a)') ' Band, spin, eigenvalue (au), localized'
WRITE(io,*) ibnd, ispin, et(ibnd,ikk)/e2,'F'
! ...with the following two - KN 2/4/09
! WRITE(io,'(a)') ' Band, spin, eigenvalue (au), occupation number'
! WRITE(io,*) ibnd, ispin, et(ibnd,ikk)/e2, wg(ibnd,ikk)/wk(ikk)
WRITE(io,*)'Complex blip coefficients for extended orbital'
DO lx=0,blipgrid(1)-1
DO ly=0,blipgrid(2)-1
DO lz=0,blipgrid(3)-1
WRITE(io,*)cavc(lx,ly,lz)
ENDDO ! lz
ENDDO ! ly
ENDDO ! lx
END SUBROUTINE write_bwfn_data
SUBROUTINE write_bwfn_data_gamma(re_im,ik,ispin,ibnd)
INTEGER,INTENT(in) :: ik,ispin,ibnd,re_im
INTEGER lx,ly,lz,ikk,j,l1,l2,l3
IF(binwrite)THEN
IF(re_im==1)THEN
DO l3=1,blipgrid(3)
DO l2=1,blipgrid(2)
DO l1=1,blipgrid(1)
avc_tmp(l1,l2,l3) = avc1(l1-1,l2-1,l3-1)
ENDDO
ENDDO
ENDDO
ELSE
DO l3=1,blipgrid(3)
DO l2=1,blipgrid(2)
DO l1=1,blipgrid(1)
avc_tmp(l1,l2,l3) = avc2(l1-1,l2-1,l3-1)
ENDDO
ENDDO
ENDDO
ENDIF
IF(single_precision_blips)THEN
WRITE(iob)real(avc_tmp(:,:,:),kind=sgl)
ELSE
WRITE(iob)real(avc_tmp(:,:,:),kind=DP)
ENDIF
RETURN
ENDIF
ikk = ik + nk*(ispin-1)
IF(ispin==1.and.ibnd==1)THEN
WRITE(io,'(a)') ' k-point # ; # of bands (up spin/down spin); &
& k-point coords (au)'
WRITE(io,'(3i4,3f20.16)') ik, nbndup, nbnddown, &
(tpi/alat*xk(j,ik),j=1,3)
ENDIF
! KN: if you want to print occupancies, replace these two lines ...
WRITE(io,'(a)') ' Band, spin, eigenvalue (au), localized'
WRITE(io,*) ibnd, ispin, et(ibnd,ikk)/e2,'F'
! ...with the following two - KN 2/4/09
! WRITE(io,'(a)') ' Band, spin, eigenvalue (au), occupation number'
! WRITE(io,*) ibnd, ispin, et(ibnd,ikk)/e2, wg(ibnd,ikk)/wk(ikk)
WRITE(io,*)'Real blip coefficients for extended orbital'
DO lx=0,blipgrid(1)-1
DO ly=0,blipgrid(2)-1
DO lz=0,blipgrid(3)-1
IF(re_im==1)THEN
WRITE(io,*)avc1(lx,ly,lz)
ELSE
WRITE(io,*)avc2(lx,ly,lz)
ENDIF
ENDDO ! lz
ENDDO ! ly
ENDDO ! lx
END SUBROUTINE write_bwfn_data_gamma
SUBROUTINE create_index2(y,x_index)
DOUBLE PRECISION,INTENT(in) :: y(:,:)
INTEGER,INTENT(out) :: x_index(size(y,2))
DOUBLE PRECISION y2(size(y,2))
INTEGER i
DO i = 1,size(y,2)
y2(i) = sum(y(:,i)**2)
ENDDO
CALL create_index(y2,x_index)
END SUBROUTINE create_index2
SUBROUTINE create_index(y,x_index)
!-----------------------------------------------------------------------------!
! This subroutine creates an index array x_index for the n items of data in !
! the array y. Adapted from Numerical Recipes. !
! Copied from merge_pwfn.f90, included with CASINO distribution !
!-----------------------------------------------------------------------------!
IMPLICIT NONE
DOUBLE PRECISION,INTENT(in) :: y(:)
INTEGER,INTENT(out) :: x_index(:)
INTEGER,PARAMETER :: ins_sort_thresh=7,stacksize=80
INTEGER n,i,x_indexj,ir,itemp,j,jstack,k,l,lp1,istack(stacksize)
DOUBLE PRECISION yj
n=size(x_index)
DO j=1,n
x_index(j)=j
ENDDO ! j
IF(n<=1)RETURN
jstack=0
l=1
ir=n
DO
IF(ir-l<ins_sort_thresh)THEN
jloop : DO j=l+1,ir
x_indexj=x_index(j) ; yj=y(x_indexj)
DO i=j-1,l,-1
IF(y(x_index(i))<=yj)THEN
x_index(i+1)=x_indexj
CYCLE jloop
ENDIF! y(x_index(i))<=yj
x_index(i+1)=x_index(i)
ENDDO ! i
x_index(l)=x_indexj
ENDDO jloop ! j
IF(jstack==0)RETURN
ir=istack(jstack)
l=istack(jstack-1)
jstack=jstack-2
ELSE
k=(l+ir)/2
lp1=l+1
itemp=x_index(k) ; x_index(k)=x_index(lp1) ; x_index(lp1)=itemp
IF(y(x_index(l))>y(x_index(ir)))THEN
itemp=x_index(l) ; x_index(l)=x_index(ir) ; x_index(ir)=itemp
ENDIF
IF(y(x_index(lp1))>y(x_index(ir)))THEN
itemp=x_index(lp1) ; x_index(lp1)=x_index(ir) ; x_index(ir)=itemp
ENDIF
IF(y(x_index(l))>y(x_index(lp1)))THEN
itemp=x_index(l) ; x_index(l)=x_index(lp1) ; x_index(lp1)=itemp
ENDIF
i=lp1
j=ir
x_indexj=x_index(lp1)
yj=y(x_indexj)
DO
DO
i=i+1
IF(y(x_index(i))>=yj)exit
ENDDO ! i
DO
j=j-1
IF(y(x_index(j))<=yj)exit
ENDDO ! j
IF(j<i)exit
itemp=x_index(i) ; x_index(i)=x_index(j) ; x_index(j)=itemp
ENDDO
x_index(lp1)=x_index(j)
x_index(j)=x_indexj
jstack=jstack+2
IF(jstack>stacksize)THEN
WRITE(6,*)'stacksize is too small.'
STOP
ENDIF! jstack>stacksize
IF(ir-i+1>=j-l)THEN
istack(jstack)=ir
istack(jstack-1)=i
ir=j-1
ELSE
istack(jstack)=j-1
istack(jstack-1)=l
l=i
ENDIF! ir-i+1>=j-l
ENDIF! ir-l<ins_sort_thresh
ENDDO
END SUBROUTINE create_index
CHARACTER(20) FUNCTION i2s(n)
INTEGER,INTENT(in) :: n
INTEGER m,j
m = abs(n)
DO j=len(i2s),2,-1
i2s(j:j)=achar(ichar('0')+mod(m,10))
m=m/10
IF(m==0)exit
ENDDO
IF(n<0)THEN
j = j-1
i2s(j:j)='-'
ENDIF
i2s=i2s(j:len(i2s))
END FUNCTION i2s
CHARACTER(72) FUNCTION write_mean(av,std_err_in_mean,err_prec_in)
!-----------------------------------------------------------------------------!
! Write out a mean value with the standard error in the mean in the form !
! av(std_err_in_mean), e.g. 0.123546(7). err_prec_in specifies the number of !
! digits of precision to which the error should be quoted (by default 1). !
!-----------------------------------------------------------------------------!
DOUBLE PRECISION,INTENT(in) :: av,std_err_in_mean
INTEGER,INTENT(in),OPTIONAL :: err_prec_in
INTEGER lowest_digit_to_quote,err_quote,err_prec,int_part,dec_part,i
INTEGER,PARAMETER :: err_prec_default=1
DOUBLE PRECISION av_quote
CHARACTER(1) sgn
CHARACTER(72) zero_pad
IF(std_err_in_mean<=0.d0)THEN
write_mean='ERROR: NON-POSITIVE ERROR BAR!!!'
RETURN
ENDIF ! Error is negative
IF(present(err_prec_in))THEN
IF(err_prec_in>=1)THEN
err_prec=err_prec_in
ELSE
write_mean='ERROR: NON-POSITIVE PRECISION!!!'
RETURN
ENDIF ! err_prec_in sensible.
ELSE
err_prec=err_prec_default
ENDIF ! Accuracy of error supplied.
! Work out lowest digit of precision that should be retained in the
! mean (i.e. the digit in terms of which the error is specified).
! Calculate the error in terms of this digit and round.
lowest_digit_to_quote=floor(log(std_err_in_mean)/log(10.d0))+1-err_prec
err_quote=nint(std_err_in_mean*10.d0**dble(-lowest_digit_to_quote))
IF(err_quote==10**err_prec)THEN
lowest_digit_to_quote=lowest_digit_to_quote+1
err_quote=err_quote/10
ENDIF ! err_quote rounds up to next figure.
IF(err_quote>=10**err_prec.or.err_quote<10**(err_prec-1))THEN
write_mean='ERROR: BUG IN WRITE_MEAN!!!'
RETURN
ENDIF ! Check error is in range.
! Truncate the mean to the relevant precision. Establish its sign,
! then take the absolute value and work out the integer part.
av_quote=anint(av*10.d0**dble(-lowest_digit_to_quote)) &
&*10.d0**dble(lowest_digit_to_quote)
IF(av_quote<0.d0)THEN
sgn='-'
av_quote=-av_quote
ELSE
sgn=''
ENDIF ! Sign
IF(aint(av_quote)>dble(huge(1)))THEN
write_mean='ERROR: NUMBERS ARE TOO LARGE IN WRITE_MEAN!'
RETURN
ENDIF ! Vast number
int_part=floor(av_quote)
IF(lowest_digit_to_quote<0)THEN
! If the error is in a decimal place then construct string using
! integer part and decimal part, noting that the latter may need to
! be padded with zeros, e.g. if we want "0001" rather than "1".
IF(anint((av_quote-dble(int_part)) &
&*10.d0**dble(-lowest_digit_to_quote))>dble(huge(1)))THEN
write_mean='ERROR: NUMBERS ARE TOO LARGE IN WRITE_MEAN!'
RETURN
ENDIF ! Vast number
dec_part=nint((av_quote-dble(int_part))*10.d0**dble(-lowest_digit_to_quote))
zero_pad=''
IF(dec_part<0)THEN
write_mean='ERROR: BUG IN WRITE_MEAN! (2)'
RETURN
ENDIF ! dec
DO i=1,-lowest_digit_to_quote-no_digits_int(dec_part)
zero_pad(i:i)='0'
ENDDO ! i
write_mean=sgn//trim(i2s(int_part))//'.'//trim(zero_pad) &
&//trim(i2s(dec_part))//'('//trim(i2s(err_quote))//')'
ELSE
! If the error is in a figure above the decimal point then, of
! course, we don't have to worry about a decimal part.
write_mean=sgn//trim(i2s(int_part))//'(' &
&//trim(i2s(err_quote*10**lowest_digit_to_quote))//')'
ENDIF ! lowest_digit_to_quote<0
END FUNCTION write_mean
INTEGER FUNCTION no_digits_int(i)
!----------------------------------------------------------------------!
! Calculate the number of digits in integer i. For i>0 this should be !
! floor(log(i)/log(10))+1, but sometimes rounding errors cause this !
! expression to give the wrong result. !
!----------------------------------------------------------------------!
INTEGER,INTENT(in) :: i
INTEGER j,k
j=i ; k=1
DO
j=j/10
IF(j==0)exit
k=k+1
ENDDO
no_digits_int=k
END FUNCTION no_digits_int
SUBROUTINE init_rng(seed)
!--------------------------------------------!
! Initialize the RNG: see Knuth's ran_start. !
!--------------------------------------------!
INTEGER,INTENT(in) :: seed
INTEGER j,s,t,sseed
INTEGER,PARAMETER :: MM=2**30,TT=70
REAL(DP) ss,x(KK+KK-1)
REAL(DP),PARAMETER :: ULP=1.d0/2.d0**52,ULP2=2.d0*ULP
IF(seed<0)THEN
sseed=MM-1-mod(-1-seed,MM)
ELSE
sseed=mod(seed,MM)
ENDIF ! seed<0
ss=ULP2*dble(sseed+2)
DO j=1,KK
x(j)=ss
ss=ss+ss
IF(ss>=1.d0)ss=ss-1.d0+ULP2
ENDDO ! j
x(2)=x(2)+ULP
s=sseed
t=TT-1
DO
DO j=KK,2,-1
x(j+j-1)=x(j)
x(j+j-2)=0.d0
ENDDO ! j
DO j=KK+KK-1,KK+1,-1
x(j-(KK-LL))=mod(x(j-(KK-LL))+x(j),1.d0)
x(j-KK)=mod(x(j-KK)+x(j),1.d0)
ENDDO ! j
IF(mod(s,2)==1)THEN
DO j=KK,1,-1
x(j+1)=x(j)
ENDDO ! j
x(1)=x(KK+1)
x(LL+1)=mod(x(LL+1)+x(KK+1),1.d0)
ENDIF ! s odd
IF(s/=0)THEN
s=s/2
ELSE
t=t-1
ENDIF ! s/=0
IF(t<=0)exit
ENDDO
ranstate(1+KK-LL:KK)=x(1:LL)
ranstate(1:KK-LL)=x(LL+1:KK)
DO j=1,10
CALL gen_ran_array(x,KK+KK-1)
ENDDO ! j
ran_array_idx=Nkeep
END SUBROUTINE init_rng
REAL(dp) FUNCTION ranx()
!------------------------------------------------------------------------------!
! Return a random number uniformly distributed in [0,1). !
! Uses M. Luescher's suggestion: generate 1009 random numbers at a time using !
! Knuth's algorithm, but only use the first 100. !
!------------------------------------------------------------------------------!
IF(ran_array_idx==-1)THEN
CALL init_rng(default_seed) ! Initialize the RNG.
ENDIF ! First call.
IF(ran_array_idx==Nkeep)THEN
CALL gen_ran_array(ran_array,Nran) ! Generate a new array of random nos.
ran_array_idx=0
ENDIF ! i=Nkeep
ran_array_idx=ran_array_idx+1
ranx=ran_array(ran_array_idx)
END FUNCTION ranx
SUBROUTINE gen_ran_array(ran_array,N)
!---------------------------------------------------------------!
! Generate an array of N random numbers: see Knuth's ran_array. !
!---------------------------------------------------------------!
INTEGER,INTENT(in) :: N
REAL(DP),INTENT(out) :: ran_array(N)
INTEGER j
ran_array(1:KK)=ranstate(1:KK)
DO j=KK+1,N
ran_array(j)=mod(ran_array(j-KK)+ran_array(j-LL),1.d0)
ENDDO ! j
DO j=1,LL
ranstate(j)=mod(ran_array(N+j-KK)+ran_array(N+j-LL),1.d0)
ENDDO ! j
DO j=LL+1,KK
ranstate(j)=mod(ran_array(N+j-KK)+ranstate(j-LL),1.d0)
ENDDO ! j
END SUBROUTINE gen_ran_array
END SUBROUTINE write_casino_wfn