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#if HAVE_CONFIG_H
# include "config.fh"
#endif
program scf
C$Id: scf.F,v 1.18 2007/03/23 19:24:36 d3g293 Exp $
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
c
integer*8 nints, maxint !cste
c
c CAUTION: integer precision requirements
c nints, maxint, etc. are proportional to the number of basis functions
c to the fourth power! 216**4 is greater than the largest number
c that can be represented as a 32-bit signed interger, so 64-bit
c arithmetic is needed to count integrals when calculating more than
c 14 Be atoms with 15 basis functions each. Since integrals are counted
c over all iterations, 18 iterations with 7 atoms can result in precision
c problems. Note that the wave function could be calculated correctly
c for much larger basis sets without 64-bit integers because the required
c indexing is usually proportional to nbfn**2, which is good to 46,340
c basis functions, except that the task counter runs as (nbfn/ichunk)**4,
c so with ichunk = 10, 32-bit integers yield correct wavefunctions out to
c 2145 basis functions (maxatom=143), or 4290 (maxatom=286) with ichunk = 20, ...
c
c This warning applies to the Global Arrays implementation as well!
c functions of special concern are ga_igop and nga_read_inc.
c
#define USE_TRANSFORM 1
integer heap, stack
data tinit, tonel, ttwoel, tdiag, tdens, tprint /6*0.0d0/
data eone, etwo, energy, deltad /4*0.0d0/
c
c initalize the parallel message passing environment
c
#include "mp3.fh"
call ga_initialize()
c
c Allocate memory
c
heap = 32000000
stack = 32000000
if (.not.ma_init(MT_DBL, stack, heap))
+ call ga_error("ma_init failed",-1)
call flush(6)
me = ga_nodeid()
nproc = ga_nnodes()
c
c initialize a bunch of stuff and initial density matrix
c
rjunk = timer()
c
c get input from file be.inpt
c
call input
c
c create and allocate global arrays
c
call setarrays
if (ga_nodeid().eq.0) write(6,*) 'bytes of memory used by node 0:'
+ ,ga_inquire_memory()
call ininrm
c
c create initial guess for density matrix by using single atom
c densities
c
call denges
tinit = timer()
#if USE_TRANSFORM
c
c make initial orthogonal orbital set for solution method using
c similarity transform
c
call makeob
#endif
c
c make info for sparsity test
c
call makesz(schwmax)
c
c print preliminary data before any long compute segments start
if (ga_nodeid().eq.0) call flush(6)
c
c *** iterate ***
c
do 10 iter = 1, mxiter
c
c make the one particle contribution to the fock matrix
c and get the partial contribution to the energy
c
call oneel(schwmax, eone)
tonel = tonel + timer()
c
c compute the two particle contributions to the fock matrix and
c get the total energy.
c
call twoel(schwmax, etwo)
ttwoel = ttwoel + timer()
c
c Diagonalize the fock matrix. The diagonalizers used in this
c subroutine are actually sequential, not parallel.
c
call diagon(tester,iter)
tdiag = tdiag + timer()
c
c make the new density matrix in g_work from orbitals in g_orbs,
c compute the norm of the change in the density matrix and
c then update the density matrix in g_dens with damping.
c
call makden
deltad = dendif()
if (iter.eq.1) then
scale = 0.0d0
else if (iter .le. 5) then
if (nbfn .gt. 60) then
scale = 0.5d0
else
scale = 0.0d0
endif
else
scale = 0.0d0
endif
call damp(scale)
tdens = tdens + timer()
c
c add up energy and print out convergence information
c
if (me.eq.0) then
energy = enrep + eone + etwo
call prnout(iter, energy, deltad, tester)
tprint = tprint + timer()
endif
c
c if converged then exit iteration loop
c
if (deltad .lt. tol) goto 20
call ga_igop(9, icut4, 1, '+') !cste
if(icut4 .eq. 0) then !cste
c something has gone wrong--print what you know and quit.
write(6,*) 'no two-electron integrals computed!' !cste
goto 20 !cste
endif !cste
10 continue
iter = iter - 1 !cste
if(me.eq.0)
$ write(6,*) ' SCF failed to converge in ', iter, ' iters'
c...v....1....v....2....v....3....v....4....v....5....v....6....v....7..
c
c finished ... print out eigenvalues and occupied orbitals
c
20 continue
call ga_igop(6, icut1, 1, '+')
call ga_igop(7, icut2, 1, '+')
call ga_igop(8, icut3, 1, '+')
if (me.eq.0) then
c
c print out timing information
c
call prnfin(energy)
write(6,1) tinit, tonel, ttwoel, tdiag, tdens, tprint,
$ nproc
1 format(/5x,' init ',4x,' onel ',4x,' twoel ',4x,' diag ',4x,
$ ' dens print ncpu'/
$ 5x,'------',4x,'------',4x,'-------',4x,'------',4x,
$ '------ ------ ------'/
$ 2f10.2,f11.2,3f10.2, i7/)
totsec = tinit+tonel+ttwoel+tdiag+tdens+tprint
write(6,*)'elapsed time in seconds ',totsec
c
c print out information on # integrals evaluated each iteration
c
nints = icut1+icut2+icut3
frac = dble(icut3)/dble(nints)
write(6,2) icut1, icut2, icut3, nints, frac
2 format(/'No. of integrals screened or computed (all iters) '
$ /'-------------------------------------'/
$ /1x,' failed #ij test failed #kl test',
$ ' #compute #total',
$ ' fraction',
$ /1x,' --------------- ---------------',
$ ' --------------- ---------------',
$ ' --------',
$ /1x,4(1x,i15),f9.6)
maxint = nbfn !cste
maxint = maxint**4 * iter !cste
if(nints .ne. maxint) then !cste
write(6,*)'Inconsistent number of integrals, should be ', !cste
$ maxint !cste
write(6,*)'Note: largest 32-bit integer is 2,147,483,647' !cste
write(6,*)'Probably due to insufficient integer precision in GA.'!cste
endif !cste
#ifdef MSG_COMMS_MPI
call ga_print_stats()
#else
call stats
#endif
endif
c
call closearrays
call ga_terminate
#ifdef MSG_COMMS_MPI
call mpi_finalize
#else
call pend
#endif
c
end
c
subroutine makesz(schwmax)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
dimension work(ichunk,ichunk)
integer lo(2),hi(2),i,j,iloc,jloc,ld
logical dotask, next_chunk
c
c schwarz(ij) = (ij|ij) for sparsity test
c
icut1 = 0
icut2 = 0
icut3 = 0
c
call ga_zero(g_schwarz)
call ga_zero(g_counter)
schwmax = 0.0d0
dotask = next_chunk(lo,hi)
ld = ichunk
do while (dotask)
do i = lo(1), hi(1)
iloc = i - lo(1) + 1
do j = lo(2), hi(2)
jloc = j - lo(2) + 1
call g(gg,i,j,i,j)
work(iloc,jloc) = sqrt(gg)
schwmax = max(schwmax, work(iloc,jloc))
end do
end do
call nga_put(g_schwarz,lo,hi,work,ld)
dotask = next_chunk(lo,hi)
end do
call ga_dgop(11,schwmax,1,'max')
c
return
end
c
subroutine ininrm
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer*8 maxint
c
c write a little welcome message
c
maxint = nbfn
maxint = maxint**4
if (ga_nodeid().eq.0) then
write(6,1) natom, nocc, nbfn, maxint, tol, ichunk
1 format(/' Example Direct Self Consistent Field Program '/
$ ' -------------------------------------------- '//
$ ' no. of atoms .............. ',i5/
$ ' no. of occupied orbitals .. ',i5/
$ ' no. of basis functions .... ',i5/
$ ' basis functions^4 ' ,i15/
$ ' convergence threshold ..... ',1pd9.2/
$ ' chunk size .................',i5)
write(6,*) !cste
call flush(6) !cste
endif !cste
c
c generate normalisation coefficients for the basis functions
c and the index array iky
c
do 10 i = 1, nbfn
iky(i) = i*(i-1)/2
10 continue
c
do 20 i = 1, nbfn
rnorm(i) = (expnt(i)*2.0d0/pi)**0.75d0
20 continue
c
c initialize common for computing f0
c
call setfm
c
end
double precision function h(i,j)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
cvd$r novector
cvd$r noconcur
c
c generate the one particle hamiltonian matrix element
c over the normalized primitive 1s functions i and j
c
f0val = 0.0d0
sum = 0.0d0
rab2 = (x(i)-x(j))**2 + (y(i)-y(j))**2 + (z(i)-z(j))**2
facij = expnt(i)*expnt(j)/(expnt(i)+expnt(j))
expij = exprjh(-facij*rab2)
repij = (2.0d0*pi/(expnt(i)+expnt(j))) * expij
c
c first do the nuclear attraction integrals
c
do 10 iat = 1, natom
xp = (x(i)*expnt(i) + x(j)*expnt(j))/(expnt(i)+expnt(j))
yp = (y(i)*expnt(i) + y(j)*expnt(j))/(expnt(i)+expnt(j))
zp = (z(i)*expnt(i) + z(j)*expnt(j))/(expnt(i)+expnt(j))
rpc2 = (xp-ax(iat))**2 + (yp-ay(iat))**2 + (zp-az(iat))**2
c
call f0(f0val, (expnt(i)+expnt(j))*rpc2)
sum = sum - repij * q(iat) * f0val
10 continue
c
c add on the kinetic energy term
c
sum = sum + facij*(3.0d0-2.0d0*facij*rab2) *
$ (pi/(expnt(i)+expnt(j)))**1.5d0 * expij
c
c finally multiply by the normalization constants
c
h = sum * rnorm(i) * rnorm(j)
c
end
double precision function s(i,j)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
c
c generate the overlap matrix element between the normalized
c primitve gaussian 1s functions i and j
c
rab2 = (x(i)-x(j))**2 + (y(i)-y(j))**2 + (z(i)-z(j))**2
facij = expnt(i)*expnt(j)/(expnt(i)+expnt(j))
s = (pi/(expnt(i)+expnt(j)))**1.5d0 * exprjh(-facij*rab2) *
$ rnorm(i)*rnorm(j)
c
end
subroutine makden
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
c dimension work(maxnbfn,maxnbfn), torbs(maxnbfn,maxnbfn)
dimension work(ichunk,ichunk), orbsi(ichunk,maxnbfn)
dimension orbsj(ichunk,maxnbfn)
integer lo(2), hi(2), tlo(2), thi(2), i, j, iloc, jloc, ld
logical dotask, next_chunk
c
c generate density matrix from orbitals in g_orbs. the first
c nocc orbitals are doubly occupied.
c
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while (dotask)
tlo(1) = lo(1)
thi(1) = hi(1)
tlo(2) = 1
thi(2) = nocc
call nga_get(g_orbs,tlo,thi,orbsi,ld)
tlo(1) = lo(2)
thi(1) = hi(2)
call nga_get(g_orbs,tlo,thi,orbsj,ld)
do i = lo(1), hi(1)
iloc = i - lo(1) + 1
do j = lo(2), hi(2)
jloc = j - lo(2) + 1
p = 0.0d00
do k = 1, nocc
p = p + orbsi(iloc,k)*orbsj(jloc,k)
end do
work(iloc,jloc) = 2.0d00*p
end do
end do
call nga_put(g_work,lo,hi,work,ld)
dotask = next_chunk(lo,hi)
end do
return
end
c
subroutine oneel(schwmax, eone)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer lo(2), hi(2), i, j, iloc, jloc, ld
dimension work(ichunk,ichunk),tfock(ichunk,ichunk)
logical dotask, next_chunk
c
c fill in the one-electron part of the fock matrix and
c compute the one-electron energy contribution
c
me = ga_nodeid()
nproc = ga_nnodes()
c
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while (dotask)
call nga_get(g_schwarz,lo,hi,work,ld)
do j = lo(2), hi(2)
jloc = j - lo(2) + 1
do i = lo(1), hi(1)
iloc = i - lo(1) + 1
tfock(iloc,jloc) = 0.0d00
if (work(iloc,jloc)*schwmax.gt.tol2e)
+ tfock(iloc,jloc) = h(i,j)
end do
end do
call nga_put(g_fock,lo,hi,tfock,ld)
dotask = next_chunk(lo,hi)
end do
eone = 0.5d00*contract_matrices(g_fock,g_dens)
c
end
#if 0
integer function nxtask(nproc)
parameter (ichunk = 10)
save icount, nleft
data nleft, icount /0, 0/
c
c wrapper round nxtval() to increase granularity
c and thus reduce no. of requests to shared counter
c
if(nproc.gt.0) then
if(nleft.eq.0) then
#ifdef MSG_COMMS_MPI
icount = nxtval_ga(nproc) * ichunk
#else
icount = nxtval(nproc) * ichunk
#endif
nleft = ichunk
endif
nxtask = icount
icount = icount + 1
nleft = nleft -1
else
nleft = 0
nxtask = 0
#ifdef MSG_COMMS_MPI
junk = nxtval_ga(nproc)
#else
junk = nxtval(nproc)
#endif
endif
c
c following does dumb static load balancing
c
c$$$ if(nproc.gt.0) then
c$$$ if (nleft .eq. 0) then
c$$$ icount = ga_nodeid()
c$$$ nleft = 1
c$$$ endif
c$$$ nxtask = icount
c$$$ icount = icount + ga_nnodes()
c$$$ else
c$$$ nleft = 0
c$$$ nxtask = 0
c$$$ endif
end
#endif
c
logical function next_chunk(lo,hi)
#include "cscf.h"
integer one
parameter (one = 1)
integer imax, lo(2), hi(2), ilo, jlo
itask = nga_read_inc(g_counter,one,one)
imax = nbfn/ichunk
if (nbfn - ichunk*imax.gt.0) imax = imax + 1
if (itask.lt.imax*imax) then
ilo = mod(itask,imax)
jlo = (itask-ilo)/imax
lo(1) = ilo*ichunk + 1
lo(2) = jlo*ichunk + 1
hi(1) = min((ilo+1)*ichunk,nbfn)
hi(2) = min((jlo+1)*ichunk,nbfn)
next_chunk = .true.
else
next_chunk = .false.
endif
return
end
c
logical function next_4chunk(lo,hi,ilo,jlo,klo,llo)
#include "cscf.h"
integer one
parameter (one = 1)
integer*8 imax, itask, itmp !cste
integer lo(4), hi(4), ilo, jlo, klo, llo !cste
c
itask = nga_read_inc(g_counter,one,one)
imax = nbfn/ichunk
if (nbfn - ichunk*imax.gt.0) imax = imax + 1
if (itask. lt. 0) then !cste
write(6,*) 'next_4chunk: itask negative:',itask, !cste
* ' imax:',imax,' nbfn:',nbfn,' ichunk:',ichunk!cste
write(6,*) 'probable GA integer precision problem if ' !cste
* ,'imax^4 > 2^31' !cste
call flush(6) !cste
stop 'next_4chunk' !cste
end if !cste
if (itask.lt.imax**4) then
ilo = mod(itask,imax)
itmp = (itask - ilo)/imax
jlo = mod(itmp,imax)
itmp = (itmp - jlo)/imax
klo = mod(itmp,imax)
llo = (itmp - klo)/imax
lo(1) = ilo*ichunk + 1
lo(2) = jlo*ichunk + 1
lo(3) = klo*ichunk + 1
lo(4) = llo*ichunk + 1
hi(1) = min((ilo+1)*ichunk,nbfn)
hi(2) = min((jlo+1)*ichunk,nbfn)
hi(3) = min((klo+1)*ichunk,nbfn)
hi(4) = min((llo+1)*ichunk,nbfn)
next_4chunk = .true.
else
next_4chunk = .false.
endif
return
end
c
subroutine clean_chunk(chunk)
#include "cscf.h"
double precision chunk(ichunk,ichunk)
integer i,j
do j = 1, ichunk
do i = 1, ichunk
chunk(i,j) = 0.0d00
end do
end do
return
end
c
subroutine twoel(schwmax, etwo)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
double precision f_ij(ichunk,ichunk),d_kl(ichunk,ichunk)
double precision f_ik(ichunk,ichunk),d_jl(ichunk,ichunk)
double precision s_ij(ichunk,ichunk),s_kl(ichunk,ichunk)
double precision schwmax, one
cste integer nproc !cste
integer*8 ijkls, ijcnt,klcnt,ijklcnt !cste
integer lo(4),hi(4),lo_ik(2),hi_ik(2),lo_jl(2),hi_jl(2) !cste
integer i,j,k,l,iloc,jloc,kloc,lloc,ld,ich,it,jt,kt,lt !cste
logical dotask, next_4chunk
c
c add in the two-electron contribution to the fock matrix
c
cste nproc = ga_nnodes()
one = 1.0d00
ijcnt = icut1 !cste
klcnt = icut2 !cste
ijklcnt = icut3 !cste
c
call ga_zero(g_counter)
ld = maxnbfn
ich = ichunk
dotask = next_4chunk(lo,hi,it,jt,kt,lt)
itask = 0
cste ijkls = 0 !cste
do while (dotask)
cste ijkl=(hi(1)-lo(1)+1)*(hi(2)-lo(2)+1)* !cste
cste * (hi(3)-lo(3)+1)*(hi(4)-lo(4)+1) !cste
cste ijkls = ijkls + ijkl !cste
cste write(6,*)itask,lo,hi,ijkl,ijkls !cste
lo_ik(1) = lo(1)
lo_ik(2) = lo(3)
hi_ik(1) = hi(1)
hi_ik(2) = hi(3)
lo_jl(1) = lo(2)
lo_jl(2) = lo(4)
hi_jl(1) = hi(2)
hi_jl(2) = hi(4)
call nga_get(g_schwarz,lo,hi,s_ij,ich)
call nga_get(g_schwarz,lo(3),hi(3),s_kl,ich)
call nga_get(g_dens,lo(3),hi(3),d_kl,ich)
call nga_get(g_dens,lo_jl,hi_jl,d_jl,ich)
itask = itask + 1
call clean_chunk(f_ij)
call clean_chunk(f_ik)
do i = lo(1), hi(1)
iloc = i-lo(1) + 1
do j = lo(2), hi(2)
jloc = j-lo(2) + 1
if (s_ij(iloc,jloc)*schwmax .lt. tol2e) then
icut1 = icut1 + (hi(3)-lo(3)+1)*(hi(4)-lo(4)+1) !cste
else
do k = lo(3), hi(3)
kloc = k-lo(3) + 1
do l = lo(4), hi(4)
lloc = l-lo(4) + 1
if (s_ij(iloc,jloc)*s_kl(kloc,lloc).lt.tol2e) then
icut2 = icut2 + 1
else
call g(gg, i, j, k, l)
f_ij(iloc,jloc) = f_ij(iloc,jloc)
+ + gg*d_kl(kloc,lloc)
f_ik(iloc,kloc) = f_ik(iloc,kloc)
+ - 0.5d00*gg*d_jl(jloc,lloc)
icut3 = icut3 + 1
endif
end do
end do
endif
end do
end do
call nga_acc(g_fock,lo,hi,f_ij,ich,one)
call nga_acc(g_fock,lo_ik,hi_ik,f_ik,ich,one)
dotask = next_4chunk(lo,hi,it,jt,kt,lt)
end do
etwo = 0.5d00*contract_matrices(g_fock,g_dens)
ijcnt = icut1 - ijcnt
klcnt = icut2 - klcnt
ijklcnt = icut3 - ijklcnt
cste write(6,*) 'node ', ga_nodeid(), ijcnt, klcnt, ijklcnt !cste
cste * ,icut1,icut2,icut3 !cste
cste call flush(6) !cste
icut4 = icut3 !cste
if (icut3 .gt. 0) return !cste
c
c no integrals may be calculated if there is no work for
c this node (ichunk too big), or, something is wrong
c
write(6,*) 'no two-electron integrals computed by node', !cste
* ga_nodeid() !cste
call flush(6) !cste
return
cste stop 'twoel computed no integrals' !cste
end
c
subroutine damp(fac)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
c
c create damped density matrix as a linear combination of
c old density matrix and density matrix formed from new orbitals
c
ofac = 1.0d0 - fac
call ga_add(fac,g_dens,ofac,g_work,g_dens)
return
end
c
subroutine prnout(iter, energy, deltad, tester)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
c
c printout results of each iteration
c
if (ga_nodeid().ne.0) return
write(6,1) iter, energy, deltad, tester
call flush(6)
1 format(' iter=',i3,', energy=',f15.8,', deltad=',1pd9.2,
$ ', deltaf=',d9.2)
return
end
c
double precision function dendif()
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
double precision xdiff
dimension dens_c(ichunk,ichunk),work_c(ichunk,ichunk)
integer lo(2), hi(2), i, j, ld
logical dotask, next_chunk
c
c compute largest change in density matrix elements
c
denmax = 0.0d0
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while(dotask)
call nga_get(g_dens,lo,hi,dens_c,ld)
call nga_get(g_work,lo,hi,work_c,ld)
do j = 1, hi(2)-lo(2)+1
do i = 1, hi(1)-lo(1)+1
xdiff = abs(dens_c(i,j)-work_c(i,j))
if (xdiff.gt.denmax) denmax = xdiff
end do
end do
dotask = next_chunk(lo,hi)
end do
call ga_dgop(1,denmax,1,'max')
dendif = denmax
return
end
c
double precision function testfock()
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
double precision xmax, xtmp
dimension work(ichunk,ichunk)
integer lo(2), hi(2), i, j, iloc, jloc, ld
logical dotask, next_chunk
c
c compute largest change in density matrix elements
c
xmax = 0.0d0
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while(dotask)
call nga_get(g_fock,lo,hi,work,ld)
do j = lo(2), hi(2)
jloc = j - lo(2) + 1
do i = lo(1), hi(1)
iloc = i - lo(1) + 1
if (i.ne.j) then
xtmp = abs(work(iloc,jloc))
if (xtmp.gt.xmax) xmax = xtmp
endif
end do
end do
dotask = next_chunk(lo,hi)
end do
call ga_dgop(1,xmax,1,'max')
testfock = xmax
return
end
c
subroutine shiftfock(shift)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
double precision shift
dimension work(ichunk,ichunk)
integer lo(2), hi(2), i, j, iloc, jloc, ld, icnt
logical dotask, next_chunk
c
c compute largest change in density matrix elements
c
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while(dotask)
call nga_get(g_fock,lo,hi,work,ld)
icnt = 0
do j = lo(2), hi(2)
jloc = j - lo(2) + 1
do i = lo(1), hi(1)
iloc = i - lo(1) + 1
if (i.eq.j.and.i.gt.nocc) then
work(iloc,jloc) = work(iloc,jloc) + shift
icnt = icnt + 1
endif
end do
end do
if (icnt.gt.0) call nga_put(g_fock,lo,hi,work,ld)
dotask = next_chunk(lo,hi)
end do
return
end
c
subroutine prnfin(energy)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
dimension orbs(maxnbfn, maxnbfn)
integer lo(2),hi(2),ld
c
c printout final results
c
if (ga_nodeid().ne.0) return
write(6,1) energy
1 format(//' final energy = ',f18.11//' eigenvalues')
call output(eigv, 1, min(nbfn,nocc+5), 1, 1, nbfn, 1, 1)
c
return
end
subroutine g(value,i,j,k,l)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
c
c compute the two electon integral (ij|kl) over normalized
c primitive 1s gaussians
c
f0val = 0.0d0
rab2 = (x(i)-x(j))**2 + (y(i)-y(j))**2 + (z(i)-z(j))**2
rcd2 = (x(k)-x(l))**2 + (y(k)-y(l))**2 + (z(k)-z(l))**2
facij = expnt(i)*expnt(j)/(expnt(i)+expnt(j))
fackl = expnt(k)*expnt(l)/(expnt(k)+expnt(l))
exijkl = exprjh(- facij*rab2 - fackl*rcd2)
denom = (expnt(i)+expnt(j))*(expnt(k)+expnt(l)) *
$ sqrt(expnt(i)+expnt(j)+expnt(k)+expnt(l))
fac = (expnt(i)+expnt(j))*(expnt(k)+expnt(l)) /
$ (expnt(i)+expnt(j)+expnt(k)+expnt(l))
c
xp = (x(i)*expnt(i) + x(j)*expnt(j))/(expnt(i)+expnt(j))
yp = (y(i)*expnt(i) + y(j)*expnt(j))/(expnt(i)+expnt(j))
zp = (z(i)*expnt(i) + z(j)*expnt(j))/(expnt(i)+expnt(j))
xq = (x(k)*expnt(k) + x(l)*expnt(l))/(expnt(k)+expnt(l))
yq = (y(k)*expnt(k) + y(l)*expnt(l))/(expnt(k)+expnt(l))
zq = (z(k)*expnt(k) + z(l)*expnt(l))/(expnt(k)+expnt(l))
rpq2 = (xp-xq)**2 + (yp-yq)**2 + (zp-zq)**2
c
call f0(f0val, fac*rpq2)
value = (2.0d0 * pi**2.5d0 / denom) * exijkl * f0val *
$ rnorm(i)*rnorm(j)*rnorm(k)*rnorm(l)
return
end
c
subroutine diagon(tester, iter)
c subroutine diagon(fock, orbs, evals, work, tester, iter)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
double precision r_zero, r_one, shift, tester
c
#if USE_TRANSFORM
c
c use similarity transform to solve standard eigenvalue problem
c (overlap matrix has been transformed out of the problem)
c
r_one = 1.0d00
r_zero = 0.0d00
call ga_dgemm('n','n',nbfn,nbfn,nbfn,r_one,g_fock,g_orbs,
+ r_zero,g_tfock)
call ga_dgemm('t','n',nbfn,nbfn,nbfn,r_one,g_orbs,g_tfock,
+ r_zero,g_fock)
tester = testfock()
shift = 0.0d00
if (tester.gt.0.3d0) then
shift = 0.3d0
else
if (nbfn .gt. 60) then
shift = 0.1d0
else
shift = 0.0d0
endif
endif
if (iter.ge.2.and.shift.ne.0.0d00) then
call shiftfock(shift)
endif
call ga_copy(g_orbs,g_tfock)
call ga_diag_std_seq(g_fock, g_work, eigv)
c
c Back transform eigenvectors
c
call ga_dgemm('n','n',nbfn,nbfn,nbfn,r_one,g_tfock,g_work,
+ r_zero,g_orbs)
if (iter.ge.2.and.shift.ne.0.0d00) then
do 50 i = nocc+1, nbfn
eigv(i) = eigv(i) - shift
50 continue
endif
#else
c
c Keep remaking overlap matrix since ga_diag_seq does not
c guarantee that g_ident is preserved.
c
call makoverlap
call ga_diag_seq(g_fock, g_ident, g_orbs, eigv)
tester = 0.0d00
#endif
return
end
c
subroutine makeob
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
double precision work(ichunk,ichunk),orbs(ichunk,ichunk)
double precision eval(maxnbfn)
integer lo(2),hi(2),ld,me,i,j,iloc,jloc
logical dotask, next_chunk
c
c generate set of orthonormal vectors by creating a random
c symmetric matrix and solving associated generalized eigenvalue
c problem using the correct overlap matrix.
c
me = ga_nodeid()
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while (dotask)
do j = lo(2), hi(2)
jloc = j - lo(2) + 1
do i = lo(1), hi(1)
iloc = i - lo(1) + 1
work(iloc,jloc) = s(i,j)
orbs(iloc,jloc) = drand(0)
end do
end do
call nga_put(g_ident,lo,hi,work,ld)
call nga_put(g_fock,lo,hi,orbs,ld)
dotask = next_chunk(lo,hi)
end do
call ga_symmetrize(g_fock)
call ga_diag_seq(g_fock, g_ident, g_orbs, eval)
c
return
end
c
subroutine denges
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
c
c Form guess density from superposition of atomic densities in the AO
c basis set ... instead of doing the atomic SCF hardwire for this
c small basis set for the Be atom.
c
integer one, itask, lo(2), hi(2), ld
dimension atdens(15,15)
data atdens/
$ 0.000002,0.000027,0.000129,0.000428,0.000950,0.001180,
$ 0.000457,-0.000270,-0.000271,0.000004,0.000004,0.000004,
$ 0.000004,0.000004,0.000004,0.000027,0.000102,0.000987,
$ 0.003269,0.007254,0.009007,0.003492,-0.002099,-0.002108,
$ 0.000035,0.000035,0.000035,0.000035,0.000035,0.000035,
$ 0.000129,0.000987,0.002381,0.015766,0.034988,0.043433,
$ 0.016835,-0.010038,-0.010082,0.000166,0.000166,0.000166,
$ 0.000166,0.000166,0.000166,0.000428,0.003269,0.015766,
$ 0.026100,0.115858,0.144064,0.055967,-0.035878,-0.035990,
$ 0.000584,0.000584,0.000584,0.000584,0.000584,0.000584,
$ 0.000950,0.007254,0.034988,0.115858,0.128586,0.320120,
$ 0.124539,-0.083334,-0.083536,0.001346,0.001346,0.001346,
$ 0.001346,0.001346,0.001346,0.001180,0.009007,0.043433,
$ 0.144064,0.320120,0.201952,0.159935,-0.162762,-0.162267,
$ 0.002471,0.002471,0.002471,0.002471,0.002471,0.002471,
$ 0.000457,0.003492,0.016835,0.055967,0.124539,0.159935,
$ 0.032378,-0.093780,-0.093202,0.001372,0.001372,0.001372,
$ 0.001372,0.001372,0.001372,-0.000270,-0.002099,-0.010038,
$ -0.035878,-0.083334,-0.162762,-0.093780,0.334488,0.660918,
$ -0.009090,-0.009090,-0.009090,-0.009090,-0.009090,-0.009090,
$ -0.000271,-0.002108,-0.010082,-0.035990,-0.083536,-0.162267,
$ -0.093202,0.660918,0.326482,-0.008982,-0.008982,-0.008981,
$ -0.008981,-0.008981,-0.008982,0.000004,0.000035,0.000166,
$ 0.000584,0.001346,0.002471,0.001372,-0.009090,-0.008982,
$ 0.000062,0.000124,0.000124,0.000124,0.000124,0.000124,
$ 0.000004,0.000035,0.000166,0.000584,0.001346,0.002471,
$ 0.001372,-0.009090,-0.008982,0.000124,0.000062,0.000124,
$ 0.000124,0.000124,0.000124,0.000004,0.000035,0.000166,
$ 0.000584,0.001346,0.002471,0.001372,-0.009090,-0.008981,
$ 0.000124,0.000124,0.000062,0.000124,0.000124,0.000124,
$ 0.000004,0.000035,0.000166,0.000584,0.001346,0.002471,
$ 0.001372,-0.009090,-0.008981,0.000124,0.000124,0.000124,
$ 0.000062,0.000124,0.000124,0.000004,0.000035,0.000166,
$ 0.000584,0.001346,0.002471,0.001372,-0.009090,-0.008981,
$ 0.000124,0.000124,0.000124,0.000124,0.000062,0.000124,
$ 0.000004,0.000035,0.000166,0.000584,0.001346,0.002471,
$ 0.001372,-0.009090,-0.008982,0.000124,0.000124,0.000124,
$ 0.000124,0.000124,0.000062/
c
c Create initial guess for density matrix in global array
c
call ga_zero(g_dens)
call ga_zero(g_counter)
one = 1
ld = 15
c
c Correct for a factor of two along the diagonal
c
do i = 1, ld
atdens(i,i) = 2.0d00*atdens(i,i)
end do
itask = nga_read_inc(g_counter,one,one)
do while(itask.lt.natom)
ioff = itask*15
lo(1) = ioff+1
lo(2) = ioff+1
hi(1) = ioff+15
hi(2) = ioff+15
call nga_put(g_dens,lo,hi,atdens,ld)
itask = nga_read_inc(g_counter,one,one)
end do
call ga_sync
return
end
c
subroutine setarrays
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer one, two, dims(2)
logical status
one = 1
two = 2
g_counter = ga_create_handle()
call ga_set_data(g_counter,one,one,MT_INT)
status = ga_allocate(g_counter)
call ga_zero(g_counter)
dims(1) = nbfn
dims(2) = nbfn
g_dens = ga_create_handle()
call ga_set_data(g_dens, two, dims, MT_DBL)
status = ga_allocate(g_dens)
call ga_zero(g_dens)
g_schwarz = ga_create_handle()
call ga_set_data(g_schwarz, two, dims, MT_DBL)
status = ga_allocate(g_schwarz)
call ga_zero(g_schwarz)
g_fock = ga_create_handle()
call ga_set_data(g_fock, two, dims, MT_DBL)
status = ga_allocate(g_fock)
call ga_zero(g_fock)
g_tfock = ga_create_handle()
call ga_set_data(g_tfock, two, dims, MT_DBL)
status = ga_allocate(g_tfock)
call ga_zero(g_tfock)
g_work = ga_create_handle()
call ga_set_data(g_work, two, dims, MT_DBL)
status = ga_allocate(g_work)
call ga_zero(g_work)
g_ident = ga_create_handle()
call ga_set_data(g_ident, two, dims, MT_DBL)
status = ga_allocate(g_ident)
call ga_zero(g_ident)
g_orbs = ga_create_handle()
call ga_set_data(g_orbs, two, dims, MT_DBL)
status = ga_allocate(g_orbs)
call ga_zero(g_orbs)
return
end
subroutine closearrays
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
logical status
c
status = ga_destroy(g_counter)
status = ga_destroy(g_dens)
status = ga_destroy(g_schwarz)
status = ga_destroy(g_fock)
status = ga_destroy(g_tfock)
status = ga_destroy(g_work)
status = ga_destroy(g_ident)
status = ga_destroy(g_orbs)
c
return
end
c
subroutine makoverlap
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer me, lo(2), hi(2), ptr, ld(2)
integer ld1, ld2
me = ga_nodeid()
call nga_distribution(g_ident, me, lo, hi)
call nga_access(g_ident, lo, hi, ptr, ld)
ld1 = hi(1) - lo(1) + 1
ld2 = hi(2) - lo(2) + 1
call setoverlap(dbl_mb(ptr),lo,hi,ld1,ld2)
call nga_release(g_ident)
return
end
c
subroutine setoverlap(a,lo,hi,ld1,ld2)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer lo(2), hi(2)
integer ld1, ld2, ii, jj
double precision a(ld1,ld2)
do i = 1, ld1
ii = i + lo(1) - 1
do j = 1, ld2
jj = j + lo(2) - 1
#if USE_TRANSFORM
if (ii.eq.jj) then
a(i,j) = 1.0d00
else
a(i,j) = 0.0d00
endif
#else
a(i,j) = s(ii,jj)
#endif
end do
end do
return
end
c
subroutine print_ga_block(g_a)
implicit double precision(a-h,o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer lo(2), hi(2), ptr, ld1, ld2
c
me = ga_nodeid()
call nga_distribution(g_a, me, lo, hi)
ld1 = hi(1) - lo(1) + 1
ld2 = hi(2) - lo(2) + 1
call nga_access(g_a, lo, hi, ptr, ld)
call dump_chunk(dbl_mb(ptr),ld1,ld2)
call nga_release(g_a)
c
return
end
c
subroutine print_ga_block_ij(g_a,tlo)
implicit double precision(a-h,o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer lo(2), hi(2), ptr, ld1, ld2
c
me = ga_nodeid()
call nga_distribution(g_a, me, lo, hi)
ld1 = hi(1) - lo(1) + 1
ld2 = hi(2) - lo(2) + 1
call nga_access(g_a, tlo, hi, ptr, ld)
call dump_chunk(dbl_mb(ptr),ld1,ld2)
call nga_release(g_a)
c
return
end
c
subroutine dump_chunk(a,ld1,ld2)
implicit double precision (a-h, o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer ld1, ld2
double precision a(ld1, ld2)
do i = 1, min(10,ld1)
write(6,100) (a(i,j), j = 1, min(10,ld2))
end do
write(6,*)
trace = 0.0d0
do i=1,ld2
trace = trace +a(i,i)
end do
write(6,*) 'trace=',trace
100 format(10f10.4)
return
end
c
double precision function contract_matrices(g_a,g_b)
implicit double precision(a-h,o-z)
#include "cscf.h"
#include "mafdecls.fh"
#include "global.fh"
#include "mp3def.fh"
integer lo(2), hi(2), ptr_a, ptr_b, ld, ld1, ld2
double precision a(ichunk,ichunk),b(ichunk,ichunk)
double precision value
logical dotask, next_chunk
c
c evalute sum_ij a_ij*b_ij
c
value = 0.0d00
call ga_zero(g_counter)
dotask = next_chunk(lo,hi)
ld = ichunk
do while (dotask)
call nga_get(g_a,lo,hi,a,ld)
call nga_get(g_b,lo,hi,b,ld)
do j = 1, hi(2)-lo(2)+1
do i = 1, hi(1)-lo(1)+1
value = value + a(i,j)*b(i,j)
end do
end do
dotask = next_chunk(lo,hi)
end do
call ga_dgop(3,value,1,'+')
contract_matrices=value
c
return
end
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