2023-02-07 17:07:49 +01:00
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BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth, (mo_num, mo_num, mo_num, mo_num)]
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BEGIN_DOC
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! Normal ordering of the three body interaction on the HF density
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END_DOC
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use bitmasks ! you need to include the bitmasks_module.f90 features
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implicit none
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integer :: i,h1,p1,h2,p2
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integer :: hh1,hh2,pp1,pp2
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integer :: Ne(2)
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integer, allocatable :: occ(:,:)
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integer(bit_kind), allocatable :: key_i_core(:,:)
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double precision :: hthree_aba,hthree_aaa,hthree_aab
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double precision :: wall0,wall1
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PROVIDE N_int
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allocate( occ(N_int*bit_kind_size,2) )
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allocate( key_i_core(N_int,2) )
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if(core_tc_op) then
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do i = 1, N_int
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key_i_core(i,1) = xor(ref_bitmask(i,1),core_bitmask(i,1))
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key_i_core(i,2) = xor(ref_bitmask(i,2),core_bitmask(i,2))
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enddo
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call bitstring_to_list_ab(key_i_core,occ,Ne,N_int)
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else
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call bitstring_to_list_ab(ref_bitmask,occ,Ne,N_int)
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endif
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normal_two_body_bi_orth = 0.d0
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print*,'Providing normal_two_body_bi_orth ...'
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call wall_time(wall0)
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (hh1, h1, hh2, h2, pp1, p1, pp2, p2, hthree_aba, hthree_aab, hthree_aaa) &
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!$OMP SHARED (N_int, n_act_orb, list_act, Ne, occ, normal_two_body_bi_orth)
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!$OMP DO SCHEDULE (static)
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do hh1 = 1, n_act_orb
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h1 = list_act(hh1)
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do pp1 = 1, n_act_orb
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p1 = list_act(pp1)
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do hh2 = 1, n_act_orb
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h2 = list_act(hh2)
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do pp2 = 1, n_act_orb
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p2 = list_act(pp2)
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2023-05-19 11:33:39 +02:00
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! all contributions from the 3-e terms to the double excitations
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! s1:(h1-->p1), s2:(h2-->p2) from the HF reference determinant
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! opposite spin double excitations : s1 /= s2
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2023-02-07 17:07:49 +01:00
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call give_aba_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aba)
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2023-05-19 11:33:39 +02:00
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! same spin double excitations : s1 == s2
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2023-02-07 17:07:49 +01:00
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if(h1<h2.and.p1.gt.p2)then
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2023-05-19 11:33:39 +02:00
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! with opposite spin contributions
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2023-02-07 17:07:49 +01:00
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call give_aab_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aab) ! exchange h1<->h2
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! same spin double excitations with same spin contributions
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if(Ne(2).ge.3)then
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call give_aaa_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aaa) ! exchange h1<->h2
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else
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hthree_aaa = 0.d0
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endif
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else
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2023-05-19 11:33:39 +02:00
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! with opposite spin contributions
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2023-02-07 17:07:49 +01:00
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call give_aab_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aab)
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if(Ne(2).ge.3)then
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2023-05-19 11:33:39 +02:00
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! same spin double excitations with same spin contributions
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2023-02-07 17:07:49 +01:00
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call give_aaa_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aaa)
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else
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hthree_aaa = 0.d0
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endif
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endif
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normal_two_body_bi_orth(p2,h2,p1,h1) = 0.5d0*(hthree_aba + hthree_aab + hthree_aaa)
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enddo
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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call wall_time(wall1)
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print*,'Wall time for normal_two_body_bi_orth ',wall1-wall0
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deallocate( occ )
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deallocate( key_i_core )
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END_PROVIDER
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subroutine give_aba_contraction(Nint, h1, h2, p1, p2, Ne, occ, hthree)
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use bitmasks ! you need to include the bitmasks_module.f90 features
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implicit none
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integer, intent(in) :: Nint, h1, h2, p1, p2
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integer, intent(in) :: Ne(2), occ(Nint*bit_kind_size,2)
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double precision, intent(out) :: hthree
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integer :: ii, i
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double precision :: int_direct, int_exc_12, int_exc_13, integral
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!!!! double alpha/beta
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hthree = 0.d0
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do ii = 1, Ne(2) ! purely closed shell part
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i = occ(ii,2)
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call give_integrals_3_body_bi_ort(i ,p2,p1,i,h2,h1,integral)
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int_direct = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,p2, i,i,h2,h1,integral)
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int_exc_13 = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p2, i,p1,i,h2,h1,integral)
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int_exc_12 = -1.d0 * integral
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hthree += 2.d0 * int_direct - 1.d0 * ( int_exc_13 + int_exc_12)
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enddo
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do ii = Ne(2) + 1, Ne(1) ! purely open-shell part
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i = occ(ii,1)
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call give_integrals_3_body_bi_ort(i ,p2,p1,i,h2,h1,integral)
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int_direct = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,p2, i,i,h2,h1,integral)
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int_exc_13 = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p2, i,p1,i,h2,h1,integral)
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int_exc_12 = -1.d0 * integral
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hthree += 1.d0 * int_direct - 0.5d0* ( int_exc_13 + int_exc_12)
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enddo
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end subroutine give_aba_contraction
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BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth_ab, (mo_num, mo_num, mo_num, mo_num)]
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BEGIN_DOC
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! Normal ordered two-body sector of the three-body terms for opposite spin double excitations
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END_DOC
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use bitmasks ! you need to include the bitmasks_module.f90 features
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implicit none
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integer :: h1, p1, h2, p2, i
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integer :: hh1, hh2, pp1, pp2
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integer :: Ne(2)
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integer, allocatable :: occ(:,:)
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integer(bit_kind), allocatable :: key_i_core(:,:)
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double precision :: hthree
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PROVIDE N_int
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allocate( key_i_core(N_int,2) )
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allocate( occ(N_int*bit_kind_size,2) )
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if(core_tc_op)then
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do i = 1, N_int
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key_i_core(i,1) = xor(ref_bitmask(i,1),core_bitmask(i,1))
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key_i_core(i,2) = xor(ref_bitmask(i,2),core_bitmask(i,2))
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enddo
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call bitstring_to_list_ab(key_i_core,occ,Ne,N_int)
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else
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call bitstring_to_list_ab(ref_bitmask,occ,Ne,N_int)
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endif
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normal_two_body_bi_orth_ab = 0.d0
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do hh1 = 1, n_act_orb
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h1 = list_act(hh1)
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do pp1 = 1, n_act_orb
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p1 = list_act(pp1)
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do hh2 = 1, n_act_orb
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h2 = list_act(hh2)
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do pp2 = 1, n_act_orb
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p2 = list_act(pp2)
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call give_aba_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree)
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normal_two_body_bi_orth_ab(p2,h2,p1,h1) = hthree
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enddo
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enddo
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enddo
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enddo
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deallocate( key_i_core )
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deallocate( occ )
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth_aa_bb, (n_act_orb, n_act_orb, n_act_orb, n_act_orb)]
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BEGIN_DOC
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! Normal ordered two-body sector of the three-body terms for same spin double excitations
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END_DOC
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use bitmasks ! you need to include the bitmasks_module.f90 features
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implicit none
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integer :: i,ii,j,h1,p1,h2,p2
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integer :: hh1,hh2,pp1,pp2
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integer :: Ne(2)
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integer, allocatable :: occ(:,:)
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integer(bit_kind), allocatable :: key_i_core(:,:)
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double precision :: hthree_aab, hthree_aaa
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PROVIDE N_int
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allocate( key_i_core(N_int,2) )
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allocate( occ(N_int*bit_kind_size,2) )
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if(core_tc_op)then
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do i = 1, N_int
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key_i_core(i,1) = xor(ref_bitmask(i,1),core_bitmask(i,1))
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key_i_core(i,2) = xor(ref_bitmask(i,2),core_bitmask(i,2))
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enddo
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call bitstring_to_list_ab(key_i_core, occ, Ne, N_int)
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else
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call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int)
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endif
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normal_two_body_bi_orth_aa_bb = 0.d0
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do hh1 = 1, n_act_orb
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h1 = list_act(hh1)
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do pp1 = 1 , n_act_orb
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p1 = list_act(pp1)
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do hh2 = 1, n_act_orb
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h2 = list_act(hh2)
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do pp2 = 1 , n_act_orb
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p2 = list_act(pp2)
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if(h1<h2.and.p1.gt.p2)then
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call give_aab_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aab) ! exchange h1<->h2
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if(Ne(2).ge.3)then
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call give_aaa_contraction(N_int, h2, h1, p1, p2, Ne, occ, hthree_aaa) ! exchange h1<->h2
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else
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hthree_aaa = 0.d0
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endif
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else
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call give_aab_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aab)
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if(Ne(2).ge.3)then
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call give_aaa_contraction(N_int, h1, h2, p1, p2, Ne, occ, hthree_aaa)
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else
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hthree_aaa = 0.d0
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endif
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endif
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normal_two_body_bi_orth_aa_bb(p2,h2,p1,h1) = hthree_aab + hthree_aaa
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enddo
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enddo
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enddo
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enddo
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deallocate( key_i_core )
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deallocate( occ )
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END_PROVIDER
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subroutine give_aaa_contraction(Nint, h1, h2, p1, p2, Ne, occ, hthree)
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2023-05-19 11:33:39 +02:00
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BEGIN_DOC
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! pure same spin contribution to same spin double excitation s1=h1,p1, s2=h2,p2, with s1==s2
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END_DOC
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2023-02-07 17:07:49 +01:00
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use bitmasks ! you need to include the bitmasks_module.f90 features
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implicit none
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integer, intent(in) :: Nint, h1, h2, p1, p2
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integer, intent(in) :: Ne(2), occ(Nint*bit_kind_size,2)
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double precision, intent(out) :: hthree
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integer :: ii,i
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double precision :: int_direct,int_exc_12,int_exc_13,int_exc_23
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double precision :: integral,int_exc_l,int_exc_ll
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hthree = 0.d0
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do ii = 1, Ne(2) ! purely closed shell part
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i = occ(ii,2)
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call give_integrals_3_body_bi_ort(i ,p2,p1,i,h2,h1,integral)
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int_direct = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p2,p1,i ,i,h2,h1,integral)
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int_exc_l = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,i ,p2,i,h2,h1,integral)
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int_exc_ll= -1.d0 * integral
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call give_integrals_3_body_bi_ort(p2,i ,p1,i,h2,h1,integral)
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int_exc_12= -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,p2, i,i,h2,h1,integral)
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int_exc_13= -1.d0 * integral
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call give_integrals_3_body_bi_ort(i ,p1,p2,i,h2,h1,integral)
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int_exc_23= -1.d0 * integral
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hthree += 1.d0 * int_direct + int_exc_l + int_exc_ll -( int_exc_12+ int_exc_13+ int_exc_23 )
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enddo
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do ii = Ne(2)+1,Ne(1) ! purely open-shell part
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i = occ(ii,1)
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call give_integrals_3_body_bi_ort(i ,p2,p1,i,h2,h1,integral)
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int_direct = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p2,p1,i ,i,h2,h1,integral)
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int_exc_l = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,i ,p2,i,h2,h1,integral)
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int_exc_ll= -1.d0 * integral
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call give_integrals_3_body_bi_ort(p2,i ,p1,i,h2,h1,integral)
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int_exc_12= -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,p2, i,i,h2,h1,integral)
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int_exc_13= -1.d0 * integral
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call give_integrals_3_body_bi_ort(i ,p1,p2,i,h2,h1,integral)
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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 ))
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enddo
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end subroutine give_aaa_contraction
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subroutine give_aab_contraction(Nint, h1, h2, p1, p2, Ne, occ, hthree)
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implicit none
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use bitmasks ! you need to include the bitmasks_module.f90 features
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integer, intent(in) :: Nint, h1, h2, p1, p2
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integer, intent(in) :: Ne(2), occ(Nint*bit_kind_size,2)
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double precision, intent(out) :: hthree
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integer :: ii, i
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double precision :: int_direct, int_exc_12, int_exc_13, int_exc_23
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double precision :: integral, int_exc_l, int_exc_ll
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hthree = 0.d0
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do ii = 1, Ne(2) ! purely closed shell part
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i = occ(ii,2)
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call give_integrals_3_body_bi_ort(p2,p1,i,h2,h1,i,integral)
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int_direct = -1.d0 * integral
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call give_integrals_3_body_bi_ort(p1,p2,i,h2,h1,i,integral)
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int_exc_23= -1.d0 * integral
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hthree += 1.d0 * int_direct - int_exc_23
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enddo
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end subroutine give_aab_contraction
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