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Merge pull request #169 from QuantumPackage/cleaning_dft

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added the davidson for general matrices in the src
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Anthony Scemama 2021-07-02 18:49:56 +02:00 committed by GitHub
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src/dav_general_mat/NEED Normal file
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davidson_undressed

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===============
dav_general_mat
===============
This modules allows to use the Davidson Algorithm for general squared symmetric matrices
You have two options :
a) the routine "davidson_general" to whom you pass the matrix you want to diagonalize
b) the routine "davidson_general_ext_rout" to whom you pass the subroutine that realizes v = H u
See the routines in "test_dav.irp.f" for a clear example.

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subroutine davidson_general_ext_rout(u_in,H_jj,energies,dim_in,sze,N_st,N_st_diag_in,converged,hcalc)
use mmap_module
implicit none
BEGIN_DOC
! Davidson diagonalization with specific diagonal elements of the H matrix
!
! H_jj : specific diagonal H matrix elements to diagonalize de Davidson
!
! u_in : guess coefficients on the various states. Overwritten on exit
!
! dim_in : leftmost dimension of u_in
!
! sze : Number of determinants
!
! N_st : Number of eigenstates
!
! N_st_diag_in : Number of states in which H is diagonalized. Assumed > sze
!
! Initial guess vectors are not necessarily orthonormal
!
! hcalc subroutine to compute W = H U (see routine hcalc_template for template of input/output)
END_DOC
integer, intent(in) :: dim_in, sze, N_st, N_st_diag_in
double precision, intent(in) :: H_jj(sze)
double precision, intent(inout) :: u_in(dim_in,N_st_diag_in)
double precision, intent(out) :: energies(N_st)
external hcalc
integer :: iter, N_st_diag
integer :: i,j,k,l,m
logical, intent(inout) :: converged
double precision, external :: u_dot_v, u_dot_u
integer :: k_pairs, kl
integer :: iter2, itertot
double precision, allocatable :: y(:,:), h(:,:), lambda(:)
double precision, allocatable :: residual_norm(:)
character*(16384) :: write_buffer
double precision :: to_print(2,N_st)
double precision :: cpu, wall
integer :: shift, shift2, itermax, istate
double precision :: r1, r2, alpha
integer :: nproc_target
integer :: order(N_st_diag_in)
double precision :: cmax
double precision, allocatable :: U(:,:), overlap(:,:)!, S_d(:,:)
double precision, pointer :: W(:,:)
logical :: disk_based
double precision :: energy_shift(N_st_diag_in*davidson_sze_max)
include 'constants.include.F'
N_st_diag = N_st_diag_in
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: U, W, y, h, lambda
if (N_st_diag*3 > sze) then
print *, 'error in Davidson :'
print *, 'Increase n_det_max_full to ', N_st_diag*3
stop -1
endif
itermax = max(2,min(davidson_sze_max, sze/N_st_diag))+1
itertot = 0
if (state_following) then
allocate(overlap(N_st_diag*itermax, N_st_diag*itermax))
else
allocate(overlap(1,1)) ! avoid 'if' for deallocate
endif
overlap = 0.d0
provide threshold_davidson !nthreads_davidson
call write_time(6)
write(6,'(A)') ''
write(6,'(A)') 'Davidson Diagonalization'
write(6,'(A)') '------------------------'
write(6,'(A)') ''
! Find max number of cores to fit in memory
! -----------------------------------------
nproc_target = nproc
double precision :: rss
integer :: maxab
maxab = sze
m=1
disk_based = .False.
call resident_memory(rss)
do
r1 = 8.d0 * &! bytes
( dble(sze)*(N_st_diag*itermax) &! U
+ 1.d0*dble(sze*m)*(N_st_diag*itermax) &! W
+ 2.0d0*(N_st_diag*itermax)**2 &! h,y
+ 2.d0*(N_st_diag*itermax) &! s2,lambda
+ 1.d0*(N_st_diag) &! residual_norm
! In H_S2_u_0_nstates_zmq
+ 3.d0*(N_st_diag*N_det) &! u_t, v_t, s_t on collector
+ 3.d0*(N_st_diag*N_det) &! u_t, v_t, s_t on slave
+ 0.5d0*maxab &! idx0 in H_S2_u_0_nstates_openmp_work_*
+ nproc_target * &! In OMP section
( 1.d0*(N_int*maxab) &! buffer
+ 3.5d0*(maxab) ) &! singles_a, singles_b, doubles, idx
) / 1024.d0**3
if (nproc_target == 0) then
call check_mem(r1,irp_here)
nproc_target = 1
exit
endif
if (r1+rss < qp_max_mem) then
exit
endif
if (itermax > 4) then
itermax = itermax - 1
else if (m==1.and.disk_based_davidson) then
m=0
disk_based = .True.
itermax = 6
else
nproc_target = nproc_target - 1
endif
enddo
nthreads_davidson = nproc_target
TOUCH nthreads_davidson
call write_int(6,N_st,'Number of states')
call write_int(6,N_st_diag,'Number of states in diagonalization')
call write_int(6,sze,'Number of basis functions')
call write_int(6,nproc_target,'Number of threads for diagonalization')
call write_double(6, r1, 'Memory(Gb)')
if (disk_based) then
print *, 'Using swap space to reduce RAM'
endif
!---------------
write(6,'(A)') ''
write_buffer = '====='
do i=1,N_st
write_buffer = trim(write_buffer)//' ================ ==========='
enddo
write(6,'(A)') write_buffer(1:6+41*N_st)
write_buffer = 'Iter'
do i=1,N_st
write_buffer = trim(write_buffer)//' Energy Residual '
enddo
write(6,'(A)') write_buffer(1:6+41*N_st)
write_buffer = '====='
do i=1,N_st
write_buffer = trim(write_buffer)//' ================ ==========='
enddo
write(6,'(A)') write_buffer(1:6+41*N_st)
! if (disk_based) then
! ! Create memory-mapped files for W and S
! type(c_ptr) :: ptr_w, ptr_s
! integer :: fd_s, fd_w
! call mmap(trim(ezfio_work_dir)//'davidson_w', (/int(sze,8),int(N_st_diag*itermax,8)/),&
! 8, fd_w, .False., ptr_w)
! call mmap(trim(ezfio_work_dir)//'davidson_s', (/int(sze,8),int(N_st_diag*itermax,8)/),&
! 4, fd_s, .False., ptr_s)
! call c_f_pointer(ptr_w, w, (/sze,N_st_diag*itermax/))
! call c_f_pointer(ptr_s, s, (/sze,N_st_diag*itermax/))
! else
allocate(W(sze,N_st_diag*itermax))
! endif
allocate( &
! Large
U(sze,N_st_diag*itermax), &
! Small
h(N_st_diag*itermax,N_st_diag*itermax), &
y(N_st_diag*itermax,N_st_diag*itermax), &
residual_norm(N_st_diag), &
lambda(N_st_diag*itermax))
h = 0.d0
U = 0.d0
y = 0.d0
ASSERT (N_st > 0)
ASSERT (N_st_diag >= N_st)
ASSERT (sze > 0)
! Davidson iterations
! ===================
converged = .False.
! Initialize from N_st to N_st_diat with gaussian random numbers
! to be sure to have overlap with any eigenvectors
do k=N_st+1,N_st_diag
u_in(k,k) = 10.d0
do i=1,sze
call random_number(r1)
call random_number(r2)
r1 = dsqrt(-2.d0*dlog(r1))
r2 = dtwo_pi*r2
u_in(i,k) = r1*dcos(r2)
enddo
enddo
! Normalize all states
do k=1,N_st_diag
call normalize(u_in(1,k),sze)
enddo
! Copy from the guess input "u_in" to the working vectors "U"
do k=1,N_st_diag
do i=1,sze
U(i,k) = u_in(i,k)
enddo
enddo
do while (.not.converged)
itertot = itertot+1
if (itertot == 8) then
exit
endif
do iter=1,itermax-1
shift = N_st_diag*(iter-1)
shift2 = N_st_diag*iter
if ((iter > 1).or.(itertot == 1)) then
! Compute |W_k> = \sum_i |i><i|H|u_k>
! -----------------------------------
! Gram-Schmidt to orthogonalize all new guess with the previous vectors
call ortho_qr(U,size(U,1),sze,shift2)
call ortho_qr(U,size(U,1),sze,shift2)
! it does W = H U with W(sze,N_st_diag),U(sze,N_st_diag)
! where sze is the size of the vector, N_st_diag is the number of states
call hcalc(W(1,shift+1),U(1,shift+1),N_st_diag,sze)
else
! Already computed in update below
continue
endif
! Compute h_kl = <u_k | W_l> = <u_k| H |u_l>
! -------------------------------------------
call dgemm('T','N', shift2, shift2, sze, &
1.d0, U, size(U,1), W, size(W,1), &
0.d0, h, size(h,1))
! Diagonalize h y = lambda y
! ---------------
call lapack_diag(lambda,y,h,size(h,1),shift2)
if (state_following) then
overlap = -1.d0
do k=1,shift2
do i=1,shift2
overlap(k,i) = dabs(y(k,i))
enddo
enddo
do k=1,N_st
cmax = -1.d0
do i=1,N_st
if (overlap(i,k) > cmax) then
cmax = overlap(i,k)
order(k) = i
endif
enddo
do i=1,N_st_diag
overlap(order(k),i) = -1.d0
enddo
enddo
overlap = y
do k=1,N_st
l = order(k)
if (k /= l) then
y(1:shift2,k) = overlap(1:shift2,l)
endif
enddo
do k=1,N_st
overlap(k,1) = lambda(k)
enddo
do k=1,N_st
l = order(k)
if (k /= l) then
lambda(k) = overlap(l,1)
endif
enddo
endif
! Express eigenvectors of h in the determinant basis
! --------------------------------------------------
call dgemm('N','N', sze, N_st_diag, shift2, &
1.d0, U, size(U,1), y, size(y,1), 0.d0, U(1,shift2+1), size(U,1))
call dgemm('N','N', sze, N_st_diag, shift2, &
1.d0, W, size(W,1), y, size(y,1), 0.d0, W(1,shift2+1), size(W,1))
! Compute residual vector and davidson step
! -----------------------------------------
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i,k)
do k=1,N_st_diag
do i=1,sze
U(i,shift2+k) = &
(lambda(k) * U(i,shift2+k) - W(i,shift2+k) ) &
/max(H_jj(i) - lambda (k),1.d-2)
enddo
if (k <= N_st) then
residual_norm(k) = u_dot_u(U(1,shift2+k),sze)
to_print(1,k) = lambda(k)
to_print(2,k) = residual_norm(k)
endif
enddo
!$OMP END PARALLEL DO
if ((itertot>1).and.(iter == 1)) then
!don't print
continue
else
write(*,'(1X,I3,1X,100(1X,F16.10,1X,F11.6,1X,E11.3))') iter-1, to_print(1:2,1:N_st)
endif
! Check convergence
if (iter > 1) then
converged = dabs(maxval(residual_norm(1:N_st))) < threshold_davidson
endif
do k=1,N_st
if (residual_norm(k) > 1.e8) then
print *, 'Davidson failed'
stop -1
endif
enddo
if (converged) then
exit
endif
logical, external :: qp_stop
if (qp_stop()) then
converged = .True.
exit
endif
enddo
call dgemm('N','N', sze, N_st_diag, shift2, 1.d0, &
W, size(W,1), y, size(y,1), 0.d0, u_in, size(u_in,1))
do k=1,N_st_diag
do i=1,sze
W(i,k) = u_in(i,k)
enddo
enddo
call dgemm('N','N', sze, N_st_diag, shift2, 1.d0, &
U, size(U,1), y, size(y,1), 0.d0, u_in, size(u_in,1))
do k=1,N_st_diag
do i=1,sze
U(i,k) = u_in(i,k)
enddo
enddo
call ortho_qr(U,size(U,1),sze,N_st_diag)
call ortho_qr(U,size(U,1),sze,N_st_diag)
do j=1,N_st_diag
k=1
do while ((k<sze).and.(U(k,j) == 0.d0))
k = k+1
enddo
if (U(k,j) * u_in(k,j) < 0.d0) then
do i=1,sze
W(i,j) = -W(i,j)
enddo
endif
enddo
enddo
do k=1,N_st
energies(k) = lambda(k)
enddo
write_buffer = '====='
do i=1,N_st
write_buffer = trim(write_buffer)//' ================ ==========='
enddo
write(6,'(A)') trim(write_buffer)
write(6,'(A)') ''
call write_time(6)
deallocate(W)
deallocate ( &
residual_norm, &
U, h, &
y, &
lambda &
)
deallocate(overlap)
FREE nthreads_davidson
end
subroutine hcalc_template(v,u,N_st,sze)
use bitmasks
implicit none
BEGIN_DOC
! Template of routine for the application of H
!
! Here, it is done with the Hamiltonian matrix
!
! on the set of determinants of psi_det
!
! Computes $v = H | u \rangle$
!
END_DOC
integer, intent(in) :: N_st,sze
double precision, intent(in) :: u(sze,N_st)
double precision, intent(inout) :: v(sze,N_st)
integer :: i,j,istate
v = 0.d0
do istate = 1, N_st
do i = 1, sze
do j = 1, sze
v(i,istate) += H_matrix_all_dets(j,i) * u(j,istate)
enddo
enddo
do i = 1, sze
v(i,istate) += u(i,istate) * nuclear_repulsion
enddo
enddo
end

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subroutine davidson_general(u_in,H_jj,energies,dim_in,sze,N_st,N_st_diag_in,converged,h_mat)
use mmap_module
implicit none
BEGIN_DOC
! Davidson diagonalization with specific diagonal elements of the H matrix
!
! H_jj : specific diagonal H matrix elements to diagonalize de Davidson
!
! u_in : guess coefficients on the various states. Overwritten on exit
!
! dim_in : leftmost dimension of u_in
!
! sze : Number of determinants
!
! N_st : Number of eigenstates
!
! N_st_diag_in : Number of states in which H is diagonalized. Assumed > sze
!
! Initial guess vectors are not necessarily orthonormal
END_DOC
integer, intent(in) :: dim_in, sze, N_st, N_st_diag_in
double precision, intent(in) :: H_jj(sze),h_mat(sze,sze)
double precision, intent(inout) :: u_in(dim_in,N_st_diag_in)
double precision, intent(out) :: energies(N_st)
integer :: iter, N_st_diag
integer :: i,j,k,l,m
logical, intent(inout) :: converged
double precision, external :: u_dot_v, u_dot_u
integer :: k_pairs, kl
integer :: iter2, itertot
double precision, allocatable :: y(:,:), h(:,:), lambda(:)
double precision :: diag_h_mat_elem
double precision, allocatable :: residual_norm(:)
character*(16384) :: write_buffer
double precision :: to_print(2,N_st)
double precision :: cpu, wall
integer :: shift, shift2, itermax, istate
double precision :: r1, r2, alpha
integer :: nproc_target
integer :: order(N_st_diag_in)
double precision :: cmax
double precision, allocatable :: U(:,:), overlap(:,:)!, S_d(:,:)
double precision, pointer :: W(:,:)
logical :: disk_based
double precision :: energy_shift(N_st_diag_in*davidson_sze_max)
include 'constants.include.F'
N_st_diag = N_st_diag_in
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: U, W, y, h, lambda
if (N_st_diag*3 > sze) then
print *, 'error in Davidson :'
print *, 'Increase n_det_max_full to ', N_st_diag*3
stop -1
endif
itermax = max(2,min(davidson_sze_max, sze/N_st_diag))+1
itertot = 0
if (state_following) then
allocate(overlap(N_st_diag*itermax, N_st_diag*itermax))
else
allocate(overlap(1,1)) ! avoid 'if' for deallocate
endif
overlap = 0.d0
provide threshold_davidson !nthreads_davidson
call write_time(6)
write(6,'(A)') ''
write(6,'(A)') 'Davidson Diagonalization'
write(6,'(A)') '------------------------'
write(6,'(A)') ''
! Find max number of cores to fit in memory
! -----------------------------------------
nproc_target = nproc
double precision :: rss
integer :: maxab
maxab = sze
m=1
disk_based = .False.
call resident_memory(rss)
do
r1 = 8.d0 * &! bytes
( dble(sze)*(N_st_diag*itermax) &! U
+ 1.d0*dble(sze*m)*(N_st_diag*itermax) &! W
+ 2.0d0*(N_st_diag*itermax)**2 &! h,y
+ 2.d0*(N_st_diag*itermax) &! s2,lambda
+ 1.d0*(N_st_diag) &! residual_norm
! In H_S2_u_0_nstates_zmq
+ 3.d0*(N_st_diag*N_det) &! u_t, v_t, s_t on collector
+ 3.d0*(N_st_diag*N_det) &! u_t, v_t, s_t on slave
+ 0.5d0*maxab &! idx0 in H_S2_u_0_nstates_openmp_work_*
+ nproc_target * &! In OMP section
( 1.d0*(N_int*maxab) &! buffer
+ 3.5d0*(maxab) ) &! singles_a, singles_b, doubles, idx
) / 1024.d0**3
if (nproc_target == 0) then
call check_mem(r1,irp_here)
nproc_target = 1
exit
endif
if (r1+rss < qp_max_mem) then
exit
endif
if (itermax > 4) then
itermax = itermax - 1
else if (m==1.and.disk_based_davidson) then
m=0
disk_based = .True.
itermax = 6
else
nproc_target = nproc_target - 1
endif
enddo
nthreads_davidson = nproc_target
TOUCH nthreads_davidson
call write_int(6,N_st,'Number of states')
call write_int(6,N_st_diag,'Number of states in diagonalization')
call write_int(6,sze,'Number of basis functions')
call write_int(6,nproc_target,'Number of threads for diagonalization')
call write_double(6, r1, 'Memory(Gb)')
if (disk_based) then
print *, 'Using swap space to reduce RAM'
endif
!---------------
write(6,'(A)') ''
write_buffer = '====='
do i=1,N_st
write_buffer = trim(write_buffer)//' ================ ==========='
enddo
write(6,'(A)') write_buffer(1:6+41*N_st)
write_buffer = 'Iter'
do i=1,N_st
write_buffer = trim(write_buffer)//' Energy Residual '
enddo
write(6,'(A)') write_buffer(1:6+41*N_st)
write_buffer = '====='
do i=1,N_st
write_buffer = trim(write_buffer)//' ================ ==========='
enddo
write(6,'(A)') write_buffer(1:6+41*N_st)
! if (disk_based) then
! ! Create memory-mapped files for W and S
! type(c_ptr) :: ptr_w, ptr_s
! integer :: fd_s, fd_w
! call mmap(trim(ezfio_work_dir)//'davidson_w', (/int(sze,8),int(N_st_diag*itermax,8)/),&
! 8, fd_w, .False., ptr_w)
! call mmap(trim(ezfio_work_dir)//'davidson_s', (/int(sze,8),int(N_st_diag*itermax,8)/),&
! 4, fd_s, .False., ptr_s)
! call c_f_pointer(ptr_w, w, (/sze,N_st_diag*itermax/))
! call c_f_pointer(ptr_s, s, (/sze,N_st_diag*itermax/))
! else
allocate(W(sze,N_st_diag*itermax))
! endif
allocate( &
! Large
U(sze,N_st_diag*itermax), &
! Small
h(N_st_diag*itermax,N_st_diag*itermax), &
y(N_st_diag*itermax,N_st_diag*itermax), &
residual_norm(N_st_diag), &
lambda(N_st_diag*itermax))
h = 0.d0
U = 0.d0
y = 0.d0
ASSERT (N_st > 0)
ASSERT (N_st_diag >= N_st)
ASSERT (sze > 0)
! Davidson iterations
! ===================
converged = .False.
! Initialize from N_st to N_st_diat with gaussian random numbers
! to be sure to have overlap with any eigenvectors
do k=N_st+1,N_st_diag
u_in(k,k) = 10.d0
do i=1,sze
call random_number(r1)
call random_number(r2)
r1 = dsqrt(-2.d0*dlog(r1))
r2 = dtwo_pi*r2
u_in(i,k) = r1*dcos(r2)
enddo
enddo
! Normalize all states
do k=1,N_st_diag
call normalize(u_in(1,k),sze)
enddo
! Copy from the guess input "u_in" to the working vectors "U"
do k=1,N_st_diag
do i=1,sze
U(i,k) = u_in(i,k)
enddo
enddo
do while (.not.converged)
itertot = itertot+1
if (itertot == 8) then
exit
endif
do iter=1,itermax-1
shift = N_st_diag*(iter-1)
shift2 = N_st_diag*iter
if ((iter > 1).or.(itertot == 1)) then
! Compute |W_k> = \sum_i |i><i|H|u_k>
! -----------------------------------
! Gram-Smitt to orthogonalize all new guess with the previous vectors
call ortho_qr(U,size(U,1),sze,shift2)
call ortho_qr(U,size(U,1),sze,shift2)
! call H_S2_u_0_nstates_openmp(W(1,shift+1),U(1,shift+1),N_st_diag,sze)
call hpsi (W(1,shift+1),U(1,shift+1),N_st_diag,sze,h_mat)
else
! Already computed in update below
continue
endif
! Compute h_kl = <u_k | W_l> = <u_k| H |u_l>
! -------------------------------------------
call dgemm('T','N', shift2, shift2, sze, &
1.d0, U, size(U,1), W, size(W,1), &
0.d0, h, size(h,1))
! Diagonalize h y = lambda y
! ---------------
call lapack_diag(lambda,y,h,size(h,1),shift2)
if (state_following) then
overlap = -1.d0
do k=1,shift2
do i=1,shift2
overlap(k,i) = dabs(y(k,i))
enddo
enddo
do k=1,N_st
cmax = -1.d0
do i=1,N_st
if (overlap(i,k) > cmax) then
cmax = overlap(i,k)
order(k) = i
endif
enddo
do i=1,N_st_diag
overlap(order(k),i) = -1.d0
enddo
enddo
overlap = y
do k=1,N_st
l = order(k)
if (k /= l) then
y(1:shift2,k) = overlap(1:shift2,l)
endif
enddo
do k=1,N_st
overlap(k,1) = lambda(k)
enddo
do k=1,N_st
l = order(k)
if (k /= l) then
lambda(k) = overlap(l,1)
endif
enddo
endif
! Express eigenvectors of h in the determinant basis
! --------------------------------------------------
call dgemm('N','N', sze, N_st_diag, shift2, &
1.d0, U, size(U,1), y, size(y,1), 0.d0, U(1,shift2+1), size(U,1))
call dgemm('N','N', sze, N_st_diag, shift2, &
1.d0, W, size(W,1), y, size(y,1), 0.d0, W(1,shift2+1), size(W,1))
! Compute residual vector and davidson step
! -----------------------------------------
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i,k)
do k=1,N_st_diag
do i=1,sze
U(i,shift2+k) = &
(lambda(k) * U(i,shift2+k) - W(i,shift2+k) ) &
/max(H_jj(i) - lambda (k),1.d-2)
enddo
if (k <= N_st) then
residual_norm(k) = u_dot_u(U(1,shift2+k),sze)
to_print(1,k) = lambda(k)
to_print(2,k) = residual_norm(k)
endif
enddo
!$OMP END PARALLEL DO
if ((itertot>1).and.(iter == 1)) then
!don't print
continue
else
write(*,'(1X,I3,1X,100(1X,F16.10,1X,F11.6,1X,E11.3))') iter-1, to_print(1:2,1:N_st)
endif
! Check convergence
if (iter > 1) then
converged = dabs(maxval(residual_norm(1:N_st))) < threshold_davidson
endif
do k=1,N_st
if (residual_norm(k) > 1.e8) then
print *, 'Davidson failed'
stop -1
endif
enddo
if (converged) then
exit
endif
logical, external :: qp_stop
if (qp_stop()) then
converged = .True.
exit
endif
enddo
call dgemm('N','N', sze, N_st_diag, shift2, 1.d0, &
W, size(W,1), y, size(y,1), 0.d0, u_in, size(u_in,1))
do k=1,N_st_diag
do i=1,sze
W(i,k) = u_in(i,k)
enddo
enddo
call dgemm('N','N', sze, N_st_diag, shift2, 1.d0, &
U, size(U,1), y, size(y,1), 0.d0, u_in, size(u_in,1))
do k=1,N_st_diag
do i=1,sze
U(i,k) = u_in(i,k)
enddo
enddo
call ortho_qr(U,size(U,1),sze,N_st_diag)
call ortho_qr(U,size(U,1),sze,N_st_diag)
do j=1,N_st_diag
k=1
do while ((k<sze).and.(U(k,j) == 0.d0))
k = k+1
enddo
if (U(k,j) * u_in(k,j) < 0.d0) then
do i=1,sze
W(i,j) = -W(i,j)
enddo
endif
enddo
enddo
do k=1,N_st
energies(k) = lambda(k)
enddo
write_buffer = '====='
do i=1,N_st
write_buffer = trim(write_buffer)//' ================ ==========='
enddo
write(6,'(A)') trim(write_buffer)
write(6,'(A)') ''
call write_time(6)
deallocate(W)
deallocate ( &
residual_norm, &
U, h, &
y, &
lambda &
)
deallocate(overlap)
FREE nthreads_davidson
end
subroutine hpsi(v,u,N_st,sze,h_mat)
use bitmasks
implicit none
BEGIN_DOC
! Computes $v = H | u \rangle$ and
END_DOC
integer, intent(in) :: N_st,sze
double precision, intent(in) :: u(sze,N_st),h_mat(sze,sze)
double precision, intent(inout) :: v(sze,N_st)
integer :: i,j,istate
v = 0.d0
do istate = 1, N_st
do i = 1, sze
do j = 1, sze
v(i,istate) += h_mat(j,i) * u(j,istate)
enddo
enddo
enddo
end

48
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program test_dav
implicit none
BEGIN_DOC
! TODO : Put the documentation of the program here
END_DOC
print *, 'Hello world'
read_wf = .True.
touch read_wf
PROVIDE threshold_davidson nthreads_davidson
call routine
end
subroutine routine
implicit none
double precision, allocatable :: u_in(:,:), H_jj(:), energies(:),h_mat(:,:)
integer :: dim_in,sze,N_st,N_st_diag_in,dressing_state
logical :: converged
integer :: i,j
external hcalc_template
N_st = N_states
N_st_diag_in = N_states_diag
sze = N_det
dim_in = sze
dressing_state = 0
!!!! MARK THAT u_in mut dimensioned with "N_st_diag_in" as a second dimension
allocate(u_in(dim_in,N_st_diag_in),H_jj(sze),h_mat(sze,sze),energies(N_st))
u_in = 0.d0
do i = 1, N_st
u_in(1,i) = 1.d0
enddo
!!! Matrix "h_mat" is the matrix we want to diagonalize with the first routine
!!! "davidson_general"
do i = 1, sze
do j = 1, sze
h_mat(j,i) = H_matrix_all_dets(j,i)
enddo
H_jj(i) = H_mat(i,i) + nuclear_repulsion
h_mat(i,i) = H_mat(i,i) + nuclear_repulsion
enddo
provide nthreads_davidson
call davidson_general(u_in,H_jj,energies,dim_in,sze,N_st,N_st_diag_in,converged,h_mat)
print*,'energies = ',energies
!!! hcalc_template is the routine that computes v = H u
!!! and you can use the routine "davidson_general_ext_rout"
call davidson_general_ext_rout(u_in,H_jj,energies,dim_in,sze,N_st,N_st_diag_in,converged,hcalc_template)
print*,'energies = ',energies
end

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program fcidump
implicit none
BEGIN_DOC
! Produce a regular `FCIDUMP` file from the |MOs| stored in the |EZFIO|
! directory.
!
! To specify an active space, the class of the |MOs| have to set in the
! |EZFIO| directory (see :ref:`qp_set_mo_class`).
!
! The :ref:`fcidump` program supports 3 types of |MO| classes :
!
! * the *core* orbitals which are always doubly occupied in the
! calculation
!
! * the *deleted* orbitals that are never occupied in the calculation
!
! * the *active* orbitals that are occupied with a varying number of
! electrons
!
END_DOC
character*(128) :: output
integer :: i_unit_output,getUnitAndOpen
output=trim(ezfio_filename)//'.FCIDUMP'
i_unit_output = getUnitAndOpen(output,'w')
integer :: i,j,k,l
integer :: i1,j1,k1,l1
integer :: i2,j2,k2,l2
integer*8 :: m
character*(2), allocatable :: A(:)
write(i_unit_output,*) '&FCI NORB=', n_act_orb, ', NELEC=', elec_num-n_core_orb*2, &
', MS2=', (elec_alpha_num-elec_beta_num), ','
allocate (A(n_act_orb))
A = '1,'
write(i_unit_output,*) 'ORBSYM=', (A(i), i=1,n_act_orb)
write(i_unit_output,*) 'ISYM=0,'
write(i_unit_output,*) '&end'
deallocate(A)
integer(key_kind), allocatable :: keys(:)
double precision, allocatable :: values(:)
integer(cache_map_size_kind) :: n_elements, n_elements_max
PROVIDE mo_two_e_integrals_in_map
double precision :: get_two_e_integral, integral
do l=1,n_act_orb
l1 = list_act(l)
do k=1,n_act_orb
k1 = list_act(k)
do j=l,n_act_orb
j1 = list_act(j)
do i=k,n_act_orb
i1 = list_act(i)
if (i1>=j1) then
integral = get_two_e_integral(i1,j1,k1,l1,mo_integrals_map)
if (dabs(integral) > mo_integrals_threshold) then
write(i_unit_output,*) integral, i,k,j,l
endif
end if
enddo
enddo
enddo
enddo
do j=1,n_act_orb
j1 = list_act(j)
do i=j,n_act_orb
i1 = list_act(i)
integral = mo_one_e_integrals(i1,j1) + core_fock_operator(i1,j1)
if (dabs(integral) > mo_integrals_threshold) then
write(i_unit_output,*) integral, i,j,0,0
endif
enddo
enddo
write(i_unit_output,*) core_energy, 0, 0, 0, 0
end