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550 lines
17 KiB
Fortran
550 lines
17 KiB
Fortran
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subroutine mo_two_e_integrals_erf_index(i,j,k,l,i1)
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use map_module
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implicit none
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BEGIN_DOC
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! Computes an unique index for i,j,k,l integrals
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END_DOC
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integer, intent(in) :: i,j,k,l
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integer(key_kind), intent(out) :: i1
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integer(key_kind) :: p,q,r,s,i2
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p = min(i,k)
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r = max(i,k)
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p = p+ishft(r*r-r,-1)
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q = min(j,l)
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s = max(j,l)
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q = q+ishft(s*s-s,-1)
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i1 = min(p,q)
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i2 = max(p,q)
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i1 = i1+ishft(i2*i2-i2,-1)
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end
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BEGIN_PROVIDER [ logical, mo_two_e_integrals_erf_in_map ]
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use map_module
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implicit none
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integer(bit_kind) :: mask_ijkl(N_int,4)
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integer(bit_kind) :: mask_ijk(N_int,3)
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BEGIN_DOC
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! If True, the map of MO two-electron integrals is provided
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END_DOC
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real :: map_mb
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mo_two_e_integrals_erf_in_map = .True.
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if (read_mo_two_e_integrals_erf) then
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print*,'Reading the MO integrals_erf'
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call map_load_from_disk(trim(ezfio_filename)//'/work/mo_ints_erf',mo_integrals_erf_map)
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print*, 'MO integrals_erf provided'
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return
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else
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PROVIDE ao_two_e_integrals_erf_in_map
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endif
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! call four_index_transform_block(ao_integrals_erf_map,mo_integrals_erf_map, &
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! mo_coef, size(mo_coef,1), &
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! 1, 1, 1, 1, ao_num, ao_num, ao_num, ao_num, &
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! 1, 1, 1, 1, mo_num, mo_num, mo_num, mo_num)
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call add_integrals_to_map_erf(full_ijkl_bitmask_4)
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integer*8 :: get_mo_erf_map_size, mo_erf_map_size
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mo_erf_map_size = get_mo_erf_map_size()
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! print*,'Molecular integrals ERF provided:'
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! print*,' Size of MO ERF map ', map_mb(mo_integrals_erf_map) ,'MB'
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! print*,' Number of MO ERF integrals: ', mo_erf_map_size
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if (write_mo_two_e_integrals_erf) then
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call ezfio_set_work_empty(.False.)
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call map_save_to_disk(trim(ezfio_filename)//'/work/mo_ints_erf',mo_integrals_erf_map)
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call ezfio_set_mo_two_e_erf_ints_io_mo_two_e_integrals_erf("Read")
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endif
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, mo_two_e_int_erf_jj_from_ao, (mo_num,mo_num) ]
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&BEGIN_PROVIDER [ double precision, mo_two_e_int_erf_jj_exchange_from_ao, (mo_num,mo_num) ]
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&BEGIN_PROVIDER [ double precision, mo_two_e_int_erf_jj_anti_from_ao, (mo_num,mo_num) ]
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BEGIN_DOC
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! mo_two_e_integral_jj_from_ao(i,j) = J_ij
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! mo_two_e_integrals_jj_exchange_from_ao(i,j) = J_ij
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! mo_two_e_integrals_jj_anti_from_ao(i,j) = J_ij - K_ij
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END_DOC
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implicit none
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integer :: i,j,p,q,r,s
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double precision :: c
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real(integral_kind) :: integral
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integer :: n, pp
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real(integral_kind), allocatable :: int_value(:)
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integer, allocatable :: int_idx(:)
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double precision, allocatable :: iqrs(:,:), iqsr(:,:), iqis(:), iqri(:)
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if (.not.do_direct_integrals) then
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PROVIDE ao_two_e_integrals_erf_in_map mo_coef
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endif
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mo_two_e_int_erf_jj_from_ao = 0.d0
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mo_two_e_int_erf_jj_exchange_from_ao = 0.d0
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!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: iqrs, iqsr
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!$OMP PARALLEL DEFAULT(NONE) &
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!$OMP PRIVATE (i,j,p,q,r,s,integral,c,n,pp,int_value,int_idx, &
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!$OMP iqrs, iqsr,iqri,iqis) &
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!$OMP SHARED(mo_num,mo_coef_transp,ao_num,&
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!$OMP ao_integrals_threshold,do_direct_integrals) &
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!$OMP REDUCTION(+:mo_two_e_int_erf_jj_from_ao,mo_two_e_int_erf_jj_exchange_from_ao)
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allocate( int_value(ao_num), int_idx(ao_num), &
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iqrs(mo_num,ao_num), iqis(mo_num), iqri(mo_num),&
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iqsr(mo_num,ao_num) )
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!$OMP DO SCHEDULE (guided)
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do s=1,ao_num
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do q=1,ao_num
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do j=1,ao_num
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!DIR$ VECTOR ALIGNED
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do i=1,mo_num
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iqrs(i,j) = 0.d0
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iqsr(i,j) = 0.d0
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enddo
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enddo
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if (do_direct_integrals) then
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double precision :: ao_two_e_integral_erf
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do r=1,ao_num
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call compute_ao_two_e_integrals_erf(q,r,s,ao_num,int_value)
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do p=1,ao_num
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integral = int_value(p)
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if (abs(integral) > ao_integrals_threshold) then
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!DIR$ VECTOR ALIGNED
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do i=1,mo_num
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iqrs(i,r) += mo_coef_transp(i,p) * integral
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enddo
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endif
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enddo
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call compute_ao_two_e_integrals_erf(q,s,r,ao_num,int_value)
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do p=1,ao_num
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integral = int_value(p)
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if (abs(integral) > ao_integrals_threshold) then
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!DIR$ VECTOR ALIGNED
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do i=1,mo_num
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iqsr(i,r) += mo_coef_transp(i,p) * integral
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enddo
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endif
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enddo
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enddo
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else
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do r=1,ao_num
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call get_ao_two_e_integrals_erf_non_zero(q,r,s,ao_num,int_value,int_idx,n)
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do pp=1,n
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p = int_idx(pp)
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integral = int_value(pp)
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if (abs(integral) > ao_integrals_threshold) then
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!DIR$ VECTOR ALIGNED
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do i=1,mo_num
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iqrs(i,r) += mo_coef_transp(i,p) * integral
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enddo
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endif
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enddo
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call get_ao_two_e_integrals_erf_non_zero(q,s,r,ao_num,int_value,int_idx,n)
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do pp=1,n
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p = int_idx(pp)
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integral = int_value(pp)
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if (abs(integral) > ao_integrals_threshold) then
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!DIR$ VECTOR ALIGNED
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do i=1,mo_num
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iqsr(i,r) += mo_coef_transp(i,p) * integral
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enddo
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endif
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enddo
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enddo
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endif
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iqis = 0.d0
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iqri = 0.d0
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do r=1,ao_num
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!DIR$ VECTOR ALIGNED
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do i=1,mo_num
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iqis(i) += mo_coef_transp(i,r) * iqrs(i,r)
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iqri(i) += mo_coef_transp(i,r) * iqsr(i,r)
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enddo
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enddo
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do i=1,mo_num
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!DIR$ VECTOR ALIGNED
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do j=1,mo_num
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c = mo_coef_transp(j,q)*mo_coef_transp(j,s)
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mo_two_e_int_erf_jj_from_ao(j,i) += c * iqis(i)
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mo_two_e_int_erf_jj_exchange_from_ao(j,i) += c * iqri(i)
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enddo
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enddo
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enddo
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enddo
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!$OMP END DO NOWAIT
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deallocate(iqrs,iqsr,int_value,int_idx)
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!$OMP END PARALLEL
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mo_two_e_int_erf_jj_anti_from_ao = mo_two_e_int_erf_jj_from_ao - mo_two_e_int_erf_jj_exchange_from_ao
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! end
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, mo_two_e_int_erf_jj, (mo_num,mo_num) ]
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&BEGIN_PROVIDER [ double precision, mo_two_e_int_erf_jj_exchange, (mo_num,mo_num) ]
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&BEGIN_PROVIDER [ double precision, mo_two_e_int_erf_jj_anti, (mo_num,mo_num) ]
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implicit none
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BEGIN_DOC
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! mo_two_e_integrals_jj(i,j) = J_ij
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! mo_two_e_integrals_jj_exchange(i,j) = K_ij
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! mo_two_e_integrals_jj_anti(i,j) = J_ij - K_ij
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END_DOC
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integer :: i,j
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double precision :: get_mo_two_e_integral_erf
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PROVIDE mo_two_e_integrals_erf_in_map
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mo_two_e_int_erf_jj = 0.d0
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mo_two_e_int_erf_jj_exchange = 0.d0
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do j=1,mo_num
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do i=1,mo_num
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mo_two_e_int_erf_jj(i,j) = get_mo_two_e_integral_erf(i,j,i,j,mo_integrals_erf_map)
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mo_two_e_int_erf_jj_exchange(i,j) = get_mo_two_e_integral_erf(i,j,j,i,mo_integrals_erf_map)
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mo_two_e_int_erf_jj_anti(i,j) = mo_two_e_int_erf_jj(i,j) - mo_two_e_int_erf_jj_exchange(i,j)
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enddo
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enddo
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END_PROVIDER
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subroutine clear_mo_erf_map
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implicit none
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BEGIN_DOC
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! Frees the memory of the MO map
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END_DOC
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call map_deinit(mo_integrals_erf_map)
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FREE mo_integrals_erf_map mo_two_e_int_erf_jj mo_two_e_int_erf_jj_anti
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FREE mo_two_e_int_erf_jj_exchange mo_two_e_integrals_erf_in_map
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end
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subroutine provide_all_mo_integrals_erf
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implicit none
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provide mo_integrals_erf_map mo_two_e_int_erf_jj mo_two_e_int_erf_jj_anti
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provide mo_two_e_int_erf_jj_exchange mo_two_e_integrals_erf_in_map
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end
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subroutine add_integrals_to_map_erf(mask_ijkl)
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use bitmasks
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implicit none
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BEGIN_DOC
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! Adds integrals to tha MO map according to some bitmask
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END_DOC
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integer(bit_kind), intent(in) :: mask_ijkl(N_int,4)
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integer :: i,j,k,l
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integer :: i0,j0,k0,l0
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double precision :: c, cpu_1, cpu_2, wall_1, wall_2, wall_0
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integer, allocatable :: list_ijkl(:,:)
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integer :: n_i, n_j, n_k, n_l
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integer, allocatable :: two_e_tmp_0_idx(:)
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real(integral_kind), allocatable :: two_e_tmp_0(:,:)
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double precision, allocatable :: two_e_tmp_1(:)
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double precision, allocatable :: two_e_tmp_2(:,:)
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double precision, allocatable :: two_e_tmp_3(:,:,:)
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!DIR$ ATTRIBUTES ALIGN : 64 :: two_e_tmp_1, two_e_tmp_2, two_e_tmp_3
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integer :: n_integrals
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integer :: size_buffer
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integer(key_kind),allocatable :: buffer_i(:)
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real(integral_kind),allocatable :: buffer_value(:)
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double precision :: map_mb
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integer :: i1,j1,k1,l1, ii1, kmax, thread_num
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integer :: i2,i3,i4
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double precision,parameter :: thr_coef = 1.d-10
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PROVIDE ao_two_e_integrals_in_map mo_coef
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!Get list of MOs for i,j,k and l
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!-------------------------------
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allocate(list_ijkl(mo_num,4))
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call bitstring_to_list( mask_ijkl(1,1), list_ijkl(1,1), n_i, N_int )
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call bitstring_to_list( mask_ijkl(1,2), list_ijkl(1,2), n_j, N_int )
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call bitstring_to_list( mask_ijkl(1,3), list_ijkl(1,3), n_k, N_int )
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call bitstring_to_list( mask_ijkl(1,4), list_ijkl(1,4), n_l, N_int )
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character*(2048) :: output(1)
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print*, 'i'
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call bitstring_to_str( output(1), mask_ijkl(1,1), N_int )
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print *, trim(output(1))
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j = 0
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do i = 1, N_int
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j += popcnt(mask_ijkl(i,1))
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enddo
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if(j==0)then
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return
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endif
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print*, 'j'
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call bitstring_to_str( output(1), mask_ijkl(1,2), N_int )
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print *, trim(output(1))
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j = 0
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do i = 1, N_int
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j += popcnt(mask_ijkl(i,2))
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enddo
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if(j==0)then
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return
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endif
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print*, 'k'
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call bitstring_to_str( output(1), mask_ijkl(1,3), N_int )
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print *, trim(output(1))
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j = 0
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do i = 1, N_int
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j += popcnt(mask_ijkl(i,3))
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enddo
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if(j==0)then
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return
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endif
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print*, 'l'
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call bitstring_to_str( output(1), mask_ijkl(1,4), N_int )
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print *, trim(output(1))
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j = 0
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do i = 1, N_int
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j += popcnt(mask_ijkl(i,4))
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enddo
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if(j==0)then
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return
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endif
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size_buffer = min(ao_num*ao_num*ao_num,16000000)
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print*, 'Providing the ERF molecular integrals '
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print*, 'Buffers : ', 8.*(mo_num*(n_j)*(n_k+1) + mo_num+&
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ao_num+ao_num*ao_num+ size_buffer*3)/(1024*1024), 'MB / core'
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call wall_time(wall_1)
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call cpu_time(cpu_1)
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double precision :: accu_bis
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accu_bis = 0.d0
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!$OMP PARALLEL PRIVATE(l1,k1,j1,i1,i2,i3,i4,i,j,k,l,c, ii1,kmax, &
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!$OMP two_e_tmp_0_idx, two_e_tmp_0, two_e_tmp_1,two_e_tmp_2,two_e_tmp_3,&
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!$OMP buffer_i,buffer_value,n_integrals,wall_2,i0,j0,k0,l0, &
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!$OMP wall_0,thread_num,accu_bis) &
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!$OMP DEFAULT(NONE) &
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!$OMP SHARED(size_buffer,ao_num,mo_num,n_i,n_j,n_k,n_l, &
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!$OMP mo_coef_transp, &
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!$OMP mo_coef_transp_is_built, list_ijkl, &
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!$OMP mo_coef_is_built, wall_1, &
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!$OMP mo_coef,mo_integrals_threshold,mo_integrals_erf_map)
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n_integrals = 0
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wall_0 = wall_1
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allocate(two_e_tmp_3(mo_num, n_j, n_k), &
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two_e_tmp_1(mo_num), &
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two_e_tmp_0(ao_num,ao_num), &
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two_e_tmp_0_idx(ao_num), &
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two_e_tmp_2(mo_num, n_j), &
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buffer_i(size_buffer), &
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buffer_value(size_buffer) )
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thread_num = 0
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!$ thread_num = omp_get_thread_num()
|
||
|
!$OMP DO SCHEDULE(guided)
|
||
|
do l1 = 1,ao_num
|
||
|
two_e_tmp_3 = 0.d0
|
||
|
do k1 = 1,ao_num
|
||
|
two_e_tmp_2 = 0.d0
|
||
|
do j1 = 1,ao_num
|
||
|
call get_ao_two_e_integrals_erf(j1,k1,l1,ao_num,two_e_tmp_0(1,j1)) ! all integrals for a given l1, k1
|
||
|
! call compute_ao_two_e_integrals(j1,k1,l1,ao_num,two_e_tmp_0(1,j1))
|
||
|
enddo
|
||
|
do j1 = 1,ao_num
|
||
|
kmax = 0
|
||
|
do i1 = 1,ao_num
|
||
|
c = two_e_tmp_0(i1,j1)
|
||
|
if (c == 0.d0) then
|
||
|
cycle
|
||
|
endif
|
||
|
kmax += 1
|
||
|
two_e_tmp_0(kmax,j1) = c
|
||
|
two_e_tmp_0_idx(kmax) = i1
|
||
|
enddo
|
||
|
|
||
|
if (kmax==0) then
|
||
|
cycle
|
||
|
endif
|
||
|
|
||
|
two_e_tmp_1 = 0.d0
|
||
|
ii1=1
|
||
|
! sum_m c_m^i (m)
|
||
|
do ii1 = 1,kmax-4,4
|
||
|
i1 = two_e_tmp_0_idx(ii1)
|
||
|
i2 = two_e_tmp_0_idx(ii1+1)
|
||
|
i3 = two_e_tmp_0_idx(ii1+2)
|
||
|
i4 = two_e_tmp_0_idx(ii1+3)
|
||
|
do i = list_ijkl(1,1), list_ijkl(n_i,1)
|
||
|
two_e_tmp_1(i) = two_e_tmp_1(i) + &
|
||
|
mo_coef_transp(i,i1) * two_e_tmp_0(ii1,j1) + &
|
||
|
mo_coef_transp(i,i2) * two_e_tmp_0(ii1+1,j1) + &
|
||
|
mo_coef_transp(i,i3) * two_e_tmp_0(ii1+2,j1) + &
|
||
|
mo_coef_transp(i,i4) * two_e_tmp_0(ii1+3,j1)
|
||
|
enddo ! i
|
||
|
enddo ! ii1
|
||
|
|
||
|
i2 = ii1
|
||
|
do ii1 = i2,kmax
|
||
|
i1 = two_e_tmp_0_idx(ii1)
|
||
|
do i = list_ijkl(1,1), list_ijkl(n_i,1)
|
||
|
two_e_tmp_1(i) = two_e_tmp_1(i) + mo_coef_transp(i,i1) * two_e_tmp_0(ii1,j1)
|
||
|
enddo ! i
|
||
|
enddo ! ii1
|
||
|
c = 0.d0
|
||
|
|
||
|
do i = list_ijkl(1,1), list_ijkl(n_i,1)
|
||
|
c = max(c,abs(two_e_tmp_1(i)))
|
||
|
if (c>mo_integrals_threshold) exit
|
||
|
enddo
|
||
|
if ( c < mo_integrals_threshold ) then
|
||
|
cycle
|
||
|
endif
|
||
|
|
||
|
do j0 = 1, n_j
|
||
|
j = list_ijkl(j0,2)
|
||
|
c = mo_coef_transp(j,j1)
|
||
|
if (abs(c) < thr_coef) then
|
||
|
cycle
|
||
|
endif
|
||
|
do i = list_ijkl(1,1), list_ijkl(n_i,1)
|
||
|
two_e_tmp_2(i,j0) = two_e_tmp_2(i,j0) + c * two_e_tmp_1(i)
|
||
|
enddo ! i
|
||
|
enddo ! j
|
||
|
enddo !j1
|
||
|
if ( maxval(abs(two_e_tmp_2)) < mo_integrals_threshold ) then
|
||
|
cycle
|
||
|
endif
|
||
|
|
||
|
|
||
|
do k0 = 1, n_k
|
||
|
k = list_ijkl(k0,3)
|
||
|
c = mo_coef_transp(k,k1)
|
||
|
if (abs(c) < thr_coef) then
|
||
|
cycle
|
||
|
endif
|
||
|
|
||
|
do j0 = 1, n_j
|
||
|
j = list_ijkl(j0,2)
|
||
|
do i = list_ijkl(1,1), k
|
||
|
two_e_tmp_3(i,j0,k0) = two_e_tmp_3(i,j0,k0) + c* two_e_tmp_2(i,j0)
|
||
|
enddo!i
|
||
|
enddo !j
|
||
|
|
||
|
enddo !k
|
||
|
enddo !k1
|
||
|
|
||
|
|
||
|
|
||
|
do l0 = 1,n_l
|
||
|
l = list_ijkl(l0,4)
|
||
|
c = mo_coef_transp(l,l1)
|
||
|
if (abs(c) < thr_coef) then
|
||
|
cycle
|
||
|
endif
|
||
|
j1 = ishft((l*l-l),-1)
|
||
|
do j0 = 1, n_j
|
||
|
j = list_ijkl(j0,2)
|
||
|
if (j > l) then
|
||
|
exit
|
||
|
endif
|
||
|
j1 += 1
|
||
|
do k0 = 1, n_k
|
||
|
k = list_ijkl(k0,3)
|
||
|
i1 = ishft((k*k-k),-1)
|
||
|
if (i1<=j1) then
|
||
|
continue
|
||
|
else
|
||
|
exit
|
||
|
endif
|
||
|
two_e_tmp_1 = 0.d0
|
||
|
do i0 = 1, n_i
|
||
|
i = list_ijkl(i0,1)
|
||
|
if (i>k) then
|
||
|
exit
|
||
|
endif
|
||
|
two_e_tmp_1(i) = c*two_e_tmp_3(i,j0,k0)
|
||
|
! i1+=1
|
||
|
enddo
|
||
|
|
||
|
do i0 = 1, n_i
|
||
|
i = list_ijkl(i0,1)
|
||
|
if(i> min(k,j1-i1+list_ijkl(1,1)-1))then
|
||
|
exit
|
||
|
endif
|
||
|
if (abs(two_e_tmp_1(i)) < mo_integrals_threshold) then
|
||
|
cycle
|
||
|
endif
|
||
|
n_integrals += 1
|
||
|
buffer_value(n_integrals) = two_e_tmp_1(i)
|
||
|
!DIR$ FORCEINLINE
|
||
|
call mo_two_e_integrals_index(i,j,k,l,buffer_i(n_integrals))
|
||
|
if (n_integrals == size_buffer) then
|
||
|
call insert_into_mo_integrals_erf_map(n_integrals,buffer_i,buffer_value,&
|
||
|
real(mo_integrals_threshold,integral_kind))
|
||
|
n_integrals = 0
|
||
|
endif
|
||
|
enddo
|
||
|
enddo
|
||
|
enddo
|
||
|
enddo
|
||
|
|
||
|
call wall_time(wall_2)
|
||
|
if (thread_num == 0) then
|
||
|
if (wall_2 - wall_0 > 1.d0) then
|
||
|
wall_0 = wall_2
|
||
|
print*, 100.*float(l1)/float(ao_num), '% in ', &
|
||
|
wall_2-wall_1, 's', map_mb(mo_integrals_erf_map) ,'MB'
|
||
|
endif
|
||
|
endif
|
||
|
enddo
|
||
|
!$OMP END DO NOWAIT
|
||
|
deallocate (two_e_tmp_1,two_e_tmp_2,two_e_tmp_3)
|
||
|
|
||
|
integer :: index_needed
|
||
|
|
||
|
call insert_into_mo_integrals_erf_map(n_integrals,buffer_i,buffer_value,&
|
||
|
real(mo_integrals_threshold,integral_kind))
|
||
|
deallocate(buffer_i, buffer_value)
|
||
|
!$OMP END PARALLEL
|
||
|
call map_merge(mo_integrals_erf_map)
|
||
|
|
||
|
call wall_time(wall_2)
|
||
|
call cpu_time(cpu_2)
|
||
|
integer*8 :: get_mo_erf_map_size, mo_map_size
|
||
|
mo_map_size = get_mo_erf_map_size()
|
||
|
|
||
|
deallocate(list_ijkl)
|
||
|
|
||
|
|
||
|
print*,'Molecular ERF integrals provided:'
|
||
|
print*,' Size of MO ERF map ', map_mb(mo_integrals_erf_map) ,'MB'
|
||
|
print*,' Number of MO ERF integrals: ', mo_map_size
|
||
|
print*,' cpu time :',cpu_2 - cpu_1, 's'
|
||
|
print*,' wall time :',wall_2 - wall_1, 's ( x ', (cpu_2-cpu_1)/(wall_2-wall_1), ')'
|
||
|
|
||
|
end
|
||
|
|
||
|
|