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qp2/plugins/local/tc_bi_ortho/normal_ordered_old.irp.f

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! ---
BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
! Normal ordering of the three body interaction on the HF density
END_DOC
use bitmasks ! you need to include the bitmasks_module.f90 features
implicit none
integer :: i, h1, p1, h2, p2
integer :: hh1, hh2, pp1, pp2
integer :: Ne(2)
double precision :: hthree_aba, hthree_aaa, hthree_aab
double precision :: wall0, wall1
integer, allocatable :: occ(:,:)
integer(bit_kind), allocatable :: key_i_core(:,:)
print*,' Providing normal_two_body_bi_orth_old ...'
call wall_time(wall0)
PROVIDE N_int
if(read_tc_norm_ord) then
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open(unit=11, form="unformatted", file=trim(ezfio_filename)//'/work/normal_two_body_bi_orth', action="read")
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read(11) normal_two_body_bi_orth_old
close(11)
else
PROVIDE N_int
allocate( occ(N_int*bit_kind_size,2) )
allocate( key_i_core(N_int,2) )
if(core_tc_op) then
do i = 1, N_int
key_i_core(i,1) = xor(ref_bitmask(i,1),core_bitmask(i,1))
key_i_core(i,2) = xor(ref_bitmask(i,2),core_bitmask(i,2))
enddo
call bitstring_to_list_ab(key_i_core,occ,Ne,N_int)
else
call bitstring_to_list_ab(ref_bitmask,occ,Ne,N_int)
endif
normal_two_body_bi_orth_old = 0.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (hh1, h1, hh2, h2, pp1, p1, pp2, p2, hthree_aba, hthree_aab, hthree_aaa) &
!$OMP SHARED (N_int, n_act_orb, list_act, Ne, occ, normal_two_body_bi_orth_old)
!$OMP DO SCHEDULE (static)
do hh1 = 1, n_act_orb
h1 = list_act(hh1)
do pp1 = 1, n_act_orb
p1 = list_act(pp1)
do hh2 = 1, n_act_orb
h2 = list_act(hh2)
do pp2 = 1, n_act_orb
p2 = list_act(pp2)
! all contributions from the 3-e terms to the double excitations
! s1:(h1-->p1), s2:(h2-->p2) from the HF reference determinant
! opposite spin double excitations : s1 /= s2
call give_aba_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aba)
! same spin double excitations : s1 == s2
if(h1<h2.and.p1.gt.p2)then
! with opposite spin contributions
call give_aab_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aab) ! exchange h1<->h2
! same spin double excitations with same spin contributions
if(Ne(2).ge.3)then
call give_aaa_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aaa) ! exchange h1<->h2
else
hthree_aaa = 0.d0
endif
else
! with opposite spin contributions
call give_aab_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aab)
if(Ne(2).ge.3)then
! same spin double excitations with same spin contributions
call give_aaa_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aaa)
else
hthree_aaa = 0.d0
endif
endif
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normal_two_body_bi_orth_old(p2,h2,p1,h1) = 0.5d0*(hthree_aba + hthree_aab + hthree_aaa)
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
deallocate( occ )
deallocate( key_i_core )
endif
if(write_tc_norm_ord.and.mpi_master) then
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open(unit=11, form="unformatted", file=trim(ezfio_filename)//'/work/normal_two_body_bi_orth', action="write")
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call ezfio_set_work_empty(.False.)
write(11) normal_two_body_bi_orth_old
close(11)
call ezfio_set_tc_keywords_io_tc_integ('Read')
endif
call wall_time(wall1)
print*,' Wall time for normal_two_body_bi_orth_old ', wall1-wall0
END_PROVIDER
! ---
subroutine give_aba_contraction(Nint, h1, h2, p1, p2, Ne, occ, hthree)
use bitmasks ! you need to include the bitmasks_module.f90 features
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BEGIN_DOC
! give the contribution for a double excitation of opposite spin BUT averaged over spin
!
! it is the average of <p1_down p2_up |h1_down h2_up> and <p1_up p2_down |h1_up h2_down>
!
! because the orbitals h1,h2,p1,p2 are spatial orbitals and therefore can be of different spins
END_DOC
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implicit none
integer, intent(in) :: Nint, h1, h2, p1, p2
integer, intent(in) :: Ne(2), occ(Nint*bit_kind_size,2)
double precision, intent(out) :: hthree
integer :: ii, i
double precision :: int_direct, int_exc_12, int_exc_13, integral
!!!! double alpha/beta
hthree = 0.d0
do ii = 1, Ne(2) ! purely closed shell part
i = occ(ii,2)
call give_integrals_3_body_bi_ort(i, p2, p1, i, h2, h1, integral)
int_direct = -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, p2, i, i, h2, h1, integral)
int_exc_13 = -1.d0 * integral
call give_integrals_3_body_bi_ort(p2, i, p1, i, h2, h1, integral)
int_exc_12 = -1.d0 * integral
hthree += 2.d0 * int_direct - 1.d0 * (int_exc_13 + int_exc_12)
enddo
do ii = Ne(2) + 1, Ne(1) ! purely open-shell part
i = occ(ii,1)
call give_integrals_3_body_bi_ort(i, p2, p1, i, h2, h1, integral)
int_direct = -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, p2, i, i, h2, h1, integral)
int_exc_13 = -1.d0 * integral
call give_integrals_3_body_bi_ort(p2, i, p1, i, h2, h1, integral)
int_exc_12 = -1.d0 * integral
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hthree += 1.d0 * int_direct - 0.5d0 * (int_exc_13 + int_exc_12) ! spin average
! hthree += 1.d0 * int_direct - 1.0d0 * (int_exc_13 + int_exc_12)
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enddo
return
end
! ---
BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth_ab, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
! Normal ordered two-body sector of the three-body terms for opposite spin double excitations
END_DOC
use bitmasks ! you need to include the bitmasks_module.f90 features
implicit none
integer :: h1, p1, h2, p2, i
integer :: hh1, hh2, pp1, pp2
integer :: Ne(2)
integer, allocatable :: occ(:,:)
integer(bit_kind), allocatable :: key_i_core(:,:)
double precision :: hthree
PROVIDE N_int
allocate( key_i_core(N_int,2) )
allocate( occ(N_int*bit_kind_size,2) )
if(core_tc_op) then
do i = 1, N_int
key_i_core(i,1) = xor(ref_bitmask(i,1),core_bitmask(i,1))
key_i_core(i,2) = xor(ref_bitmask(i,2),core_bitmask(i,2))
enddo
call bitstring_to_list_ab(key_i_core,occ,Ne,N_int)
else
call bitstring_to_list_ab(ref_bitmask,occ,Ne,N_int)
endif
normal_two_body_bi_orth_ab = 0.d0
do hh1 = 1, n_act_orb
h1 = list_act(hh1)
do pp1 = 1, n_act_orb
p1 = list_act(pp1)
do hh2 = 1, n_act_orb
h2 = list_act(hh2)
do pp2 = 1, n_act_orb
p2 = list_act(pp2)
call give_aba_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree)
normal_two_body_bi_orth_ab(p2,h2,p1,h1) = hthree
enddo
enddo
enddo
enddo
deallocate( key_i_core )
deallocate( occ )
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth_aa_bb, (n_act_orb, n_act_orb, n_act_orb, n_act_orb)]
BEGIN_DOC
! Normal ordered two-body sector of the three-body terms for same spin double excitations
END_DOC
use bitmasks ! you need to include the bitmasks_module.f90 features
implicit none
integer :: i,ii,j,h1,p1,h2,p2
integer :: hh1,hh2,pp1,pp2
integer :: Ne(2)
integer, allocatable :: occ(:,:)
integer(bit_kind), allocatable :: key_i_core(:,:)
double precision :: hthree_aab, hthree_aaa
PROVIDE N_int
allocate( key_i_core(N_int,2) )
allocate( occ(N_int*bit_kind_size,2) )
if(core_tc_op)then
do i = 1, N_int
key_i_core(i,1) = xor(ref_bitmask(i,1),core_bitmask(i,1))
key_i_core(i,2) = xor(ref_bitmask(i,2),core_bitmask(i,2))
enddo
call bitstring_to_list_ab(key_i_core, occ, Ne, N_int)
else
call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int)
endif
normal_two_body_bi_orth_aa_bb = 0.d0
do hh1 = 1, n_act_orb
h1 = list_act(hh1)
do pp1 = 1 , n_act_orb
p1 = list_act(pp1)
do hh2 = 1, n_act_orb
h2 = list_act(hh2)
do pp2 = 1 , n_act_orb
p2 = list_act(pp2)
if(h1<h2.and.p1.gt.p2)then
call give_aab_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aab) ! exchange h1<->h2
if(Ne(2).ge.3)then
call give_aaa_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aaa) ! exchange h1<->h2
else
hthree_aaa = 0.d0
endif
else
call give_aab_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aab)
if(Ne(2).ge.3)then
call give_aaa_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aaa)
else
hthree_aaa = 0.d0
endif
endif
normal_two_body_bi_orth_aa_bb(p2,h2,p1,h1) = hthree_aab + hthree_aaa
enddo
enddo
enddo
enddo
deallocate( key_i_core )
deallocate( occ )
END_PROVIDER
! ---
subroutine give_aaa_contraction(Nint, h1, h2, p1, p2, Ne, occ, hthree)
BEGIN_DOC
! pure same spin contribution to same spin double excitation s1=h1,p1, s2=h2,p2, with s1==s2
END_DOC
use bitmasks ! you need to include the bitmasks_module.f90 features
implicit none
integer, intent(in) :: Nint, h1, h2, p1, p2
integer, intent(in) :: Ne(2), occ(Nint*bit_kind_size,2)
double precision, intent(out) :: hthree
integer :: ii,i
double precision :: int_direct,int_exc_12,int_exc_13,int_exc_23
double precision :: integral,int_exc_l,int_exc_ll
hthree = 0.d0
do ii = 1, Ne(2) ! purely closed shell part
i = occ(ii,2)
call give_integrals_3_body_bi_ort(i, p2, p1, i, h2, h1, integral)
int_direct = -1.d0 * integral
call give_integrals_3_body_bi_ort(p2, p1, i, i, h2, h1, integral)
int_exc_l = -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, i, p2, i, h2, h1, integral)
int_exc_ll= -1.d0 * integral
call give_integrals_3_body_bi_ort(p2, i, p1, i, h2, h1, integral)
int_exc_12= -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, p2, i, i, h2, h1, integral)
int_exc_13= -1.d0 * integral
call give_integrals_3_body_bi_ort(i, p1, p2, i, h2, h1, integral)
int_exc_23= -1.d0 * integral
hthree += 1.d0 * int_direct + int_exc_l + int_exc_ll - (int_exc_12 + int_exc_13 + int_exc_23)
enddo
do ii = Ne(2)+1,Ne(1) ! purely open-shell part
i = occ(ii,1)
call give_integrals_3_body_bi_ort(i, p2, p1, i, h2, h1, integral)
int_direct = -1.d0 * integral
call give_integrals_3_body_bi_ort(p2, p1, i , i, h2, h1, integral)
int_exc_l = -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, i, p2, i, h2, h1, integral)
int_exc_ll = -1.d0 * integral
call give_integrals_3_body_bi_ort(p2, i, p1, i, h2, h1, integral)
int_exc_12 = -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, p2, i, i, h2, h1, integral)
int_exc_13 = -1.d0 * integral
call give_integrals_3_body_bi_ort(i, p1, p2, i, h2, h1, integral)
int_exc_23 = -1.d0 * integral
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!hthree += 1.d0 * int_direct + 0.5d0 * (int_exc_l + int_exc_ll - (int_exc_12 + int_exc_13 + int_exc_23))
hthree += 0.5d0 * int_direct + 0.5d0 * (int_exc_l + int_exc_ll - (int_exc_12 + int_exc_13 + int_exc_23))
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enddo
return
end
! ---
subroutine give_aab_contraction(Nint, h1, h2, p1, p2, Ne, occ, hthree)
use bitmasks ! you need to include the bitmasks_module.f90 features
implicit none
integer, intent(in) :: Nint, h1, h2, p1, p2
integer, intent(in) :: Ne(2), occ(Nint*bit_kind_size,2)
double precision, intent(out) :: hthree
integer :: ii, i
double precision :: int_direct, int_exc_12, int_exc_13, int_exc_23
double precision :: integral, int_exc_l, int_exc_ll
hthree = 0.d0
do ii = 1, Ne(2) ! purely closed shell part
i = occ(ii,2)
call give_integrals_3_body_bi_ort(p2, p1, i, h2, h1, i, integral)
int_direct = -1.d0 * integral
call give_integrals_3_body_bi_ort(p1, p2, i, h2, h1, i, integral)
int_exc_23= -1.d0 * integral
hthree += 1.d0 * int_direct - int_exc_23
enddo
return
end
! ---