mirror of
https://github.com/QuantumPackage/qp2.git
synced 2024-11-07 06:33:49 +01:00
552 lines
19 KiB
Fortran
552 lines
19 KiB
Fortran
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BEGIN_PROVIDER [double precision, int2_grad1_u12_ao, (ao_num, ao_num, n_points_final_grid, 3)]
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BEGIN_DOC
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!
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! int2_grad1_u12_ao(i,j,ipoint,:) = \int dr2 [\grad_r1 J(r1,r2)] \phi_i(r2) \phi_j(r2)
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!
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! where r1 = r(ipoint)
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!
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END_DOC
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implicit none
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integer :: ipoint, i, j, m, jpoint
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double precision :: time0, time1
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double precision :: x, y, z, r2
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double precision :: dx, dy, dz
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double precision :: tmp_ct
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double precision :: tmp0, tmp1, tmp2
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double precision :: tmp0_x, tmp0_y, tmp0_z
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double precision :: tmp1_x, tmp1_y, tmp1_z
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PROVIDE j2e_type
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PROVIDE j1e_type
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call wall_time(time0)
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print*, ' providing int2_grad1_u12_ao ...'
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if(read_tc_integ) then
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print*, ' Reading int2_grad1_u12_ao from ', trim(ezfio_filename) // '/work/int2_grad1_u12_ao'
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open(unit=11, form="unformatted", file=trim(ezfio_filename)//'/work/int2_grad1_u12_ao', action="read")
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read(11) int2_grad1_u12_ao
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close(11)
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else
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if(tc_integ_type .eq. "analytic") then
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write(*, '(A, A, A)') ' Error: The integration type ', trim(tc_integ_type), ' has not been implemented yet.'
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stop
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elseif(tc_integ_type .eq. "numeric") then
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print *, ' Numerical integration over r1 and r2 will be performed'
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if(tc_save_mem) then
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integer :: n_blocks, n_rest, n_pass
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integer :: i_blocks, i_rest, i_pass, ii
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double precision :: mem, n_double
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double precision, allocatable :: tmp(:,:,:), xx(:)
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double precision, allocatable :: tmp_grad1_u12(:,:,:)
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PROVIDE final_weight_at_r_vector_extra aos_in_r_array_extra
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allocate(tmp(n_points_extra_final_grid,ao_num,ao_num), xx(n_points_extra_final_grid))
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (j, i, jpoint) &
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!$OMP SHARED (tmp, ao_num, n_points_extra_final_grid, final_weight_at_r_vector_extra, aos_in_r_array_extra_transp)
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!$OMP DO COLLAPSE(2)
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do j = 1, ao_num
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do i = 1, ao_num
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do jpoint = 1, n_points_extra_final_grid
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tmp(jpoint,i,j) = final_weight_at_r_vector_extra(jpoint) * aos_in_r_array_extra_transp(jpoint,i) * aos_in_r_array_extra_transp(jpoint,j)
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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call total_memory(mem)
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mem = max(1.d0, qp_max_mem - mem)
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n_double = mem * 1.d8
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n_blocks = int(min(n_double / (n_points_extra_final_grid * 4.d0), 1.d0*n_points_final_grid))
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n_rest = int(mod(n_points_final_grid, n_blocks))
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n_pass = int((n_points_final_grid - n_rest) / n_blocks)
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call write_int(6, n_pass, 'Number of passes')
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call write_int(6, n_blocks, 'Size of the blocks')
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call write_int(6, n_rest, 'Size of the last block')
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allocate(tmp_grad1_u12(n_points_extra_final_grid,n_blocks,3))
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do i_pass = 1, n_pass
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ii = (i_pass-1)*n_blocks + 1
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i_blocks, ipoint) &
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!$OMP SHARED (n_blocks, n_points_extra_final_grid, ii, final_grid_points, xx, tmp_grad1_u12)
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!$OMP DO
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do i_blocks = 1, n_blocks
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ipoint = ii - 1 + i_blocks ! r1
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call get_grad1_u12_withsq_r1_seq(ipoint, n_points_extra_final_grid, tmp_grad1_u12(1,i_blocks,1), tmp_grad1_u12(1,i_blocks,2), tmp_grad1_u12(1,i_blocks,3), xx(1))
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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do m = 1, 3
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call dgemm( "T", "N", ao_num*ao_num, n_blocks, n_points_extra_final_grid, 1.d0 &
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, tmp(1,1,1), n_points_extra_final_grid, tmp_grad1_u12(1,1,m), n_points_extra_final_grid &
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, 0.d0, int2_grad1_u12_ao(1,1,ii,m), ao_num*ao_num)
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enddo
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enddo
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deallocate(tmp_grad1_u12)
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if(n_rest .gt. 0) then
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allocate(tmp_grad1_u12(n_points_extra_final_grid,n_rest,3))
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ii = n_pass*n_blocks + 1
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i_rest, ipoint) &
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!$OMP SHARED (n_rest, n_points_extra_final_grid, ii, final_grid_points, xx, tmp_grad1_u12)
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!$OMP DO
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do i_rest = 1, n_rest
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ipoint = ii - 1 + i_rest ! r1
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call get_grad1_u12_withsq_r1_seq(ipoint, n_points_extra_final_grid, tmp_grad1_u12(1,i_rest,1), tmp_grad1_u12(1,i_rest,2), tmp_grad1_u12(1,i_rest,3), xx(1))
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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do m = 1, 3
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call dgemm( "T", "N", ao_num*ao_num, n_rest, n_points_extra_final_grid, 1.d0 &
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, tmp(1,1,1), n_points_extra_final_grid, tmp_grad1_u12(1,1,m), n_points_extra_final_grid &
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, 0.d0, int2_grad1_u12_ao(1,1,ii,m), ao_num*ao_num)
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enddo
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deallocate(tmp_grad1_u12)
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endif
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deallocate(tmp,xx)
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else
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! TODO combine 1shot & int2_grad1_u12_ao_num
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PROVIDE int2_grad1_u12_ao_num
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int2_grad1_u12_ao = int2_grad1_u12_ao_num
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!PROVIDE int2_grad1_u12_ao_num_1shot
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!int2_grad1_u12_ao = int2_grad1_u12_ao_num_1shot
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endif
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elseif(tc_integ_type .eq. "semi-analytic") then
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print*, ' Numerical integration over r1, with analytical integration over r2'
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! ---
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if(j2e_type .eq. "None") then
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int2_grad1_u12_ao = 0.d0
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elseif( (j2e_type .eq. "Mu") .and. &
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( (env_type .eq. "None") .or. (env_type .eq. "Prod_Gauss") .or. (env_type .eq. "Sum_Gauss") ) ) then
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PROVIDE int2_grad1_u2e_ao
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int2_grad1_u12_ao = int2_grad1_u2e_ao
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else
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print *, ' Error in int2_grad1_u12_ao: Unknown Jastrow'
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stop
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endif ! j2e_type
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! ---
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if(j1e_type .ne. "None") then
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PROVIDE elec_num
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PROVIDE ao_overlap
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PROVIDE j1e_gradx j1e_grady j1e_gradz
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tmp_ct = 1.d0 / (dble(elec_num) - 1.d0)
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ipoint, i, j, tmp0_x, tmp0_y, tmp0_z) &
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!$OMP SHARED (ao_num, n_points_final_grid, tmp_ct, ao_overlap, &
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!$OMP j1e_gradx, j1e_grady, j1e_gradz, int2_grad1_u12_ao)
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!$OMP DO
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do ipoint = 1, n_points_final_grid
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tmp0_x = tmp_ct * j1e_gradx(ipoint)
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tmp0_y = tmp_ct * j1e_grady(ipoint)
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tmp0_z = tmp_ct * j1e_gradz(ipoint)
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do j = 1, ao_num
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do i = 1, ao_num
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int2_grad1_u12_ao(i,j,ipoint,1) = int2_grad1_u12_ao(i,j,ipoint,1) + tmp0_x * ao_overlap(i,j)
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int2_grad1_u12_ao(i,j,ipoint,2) = int2_grad1_u12_ao(i,j,ipoint,2) + tmp0_y * ao_overlap(i,j)
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int2_grad1_u12_ao(i,j,ipoint,3) = int2_grad1_u12_ao(i,j,ipoint,3) + tmp0_z * ao_overlap(i,j)
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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endif ! j1e_type
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! ---
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else
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write(*, '(A, A, A)') ' Error: The integration type ', trim(tc_integ_type), ' has not been implemented yet'
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stop
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endif ! tc_integ_type
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endif ! read_tc_integ
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if(write_tc_integ .and. mpi_master) then
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print*, ' Writing int2_grad1_u12_ao in ', trim(ezfio_filename) // '/work/int2_grad1_u12_ao'
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open(unit=11, form="unformatted", file=trim(ezfio_filename)//'/work/int2_grad1_u12_ao', action="write")
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call ezfio_set_work_empty(.False.)
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write(11) int2_grad1_u12_ao
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close(11)
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call ezfio_set_tc_keywords_io_tc_integ('Read')
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endif
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call wall_time(time1)
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print*, ' wall time for int2_grad1_u12_ao (min) =', (time1-time0)/60.d0
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call print_memory_usage()
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END_PROVIDER
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! ---
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BEGIN_PROVIDER [double precision, int2_grad1_u12_square_ao, (ao_num, ao_num, n_points_final_grid)]
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BEGIN_DOC
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!
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! int2_grad1_u12_square_ao = -(1/2) x int dr2 chi_l(r2) chi_j(r2) [grad_1 u(r1,r2)]^2
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!
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END_DOC
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implicit none
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integer :: ipoint, i, j, m, jpoint
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double precision :: x, y, z, r2
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double precision :: dx, dy, dz, dr2
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double precision :: dx1, dy1, dz1, dx2, dy2, dz2, dr12
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double precision :: tmp_ct, tmp_ct1, tmp_ct2
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double precision :: tmp0, tmp1, tmp2
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double precision :: tmp3, tmp4, tmp5, tmp6
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double precision :: tmp0_x, tmp0_y, tmp0_z
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double precision :: tmp1_x, tmp1_y, tmp1_z
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double precision :: time0, time1
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PROVIDE j2e_type
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PROVIDE j1e_type
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PROVIDE tc_integ_type
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call wall_time(time0)
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print*, ' providing int2_grad1_u12_square_ao ...'
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if(tc_integ_type .eq. "analytic") then
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write(*, '(A, A, A)') ' Error: The integration type ', trim(tc_integ_type), ' has not been implemented yet.'
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stop
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elseif(tc_integ_type .eq. "numeric") then
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print *, ' Numerical integration over r1 and r2 will be performed'
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if(tc_save_mem) then
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integer :: n_blocks, n_rest, n_pass
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integer :: i_blocks, i_rest, i_pass, ii
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double precision :: mem, n_double
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double precision, allocatable :: tmp(:,:,:), xx(:,:,:)
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double precision, allocatable :: tmp_grad1_u12_squared(:,:)
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PROVIDE final_weight_at_r_vector_extra aos_in_r_array_extra
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allocate(tmp(n_points_extra_final_grid,ao_num,ao_num))
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (j, i, jpoint) &
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!$OMP SHARED (tmp, ao_num, n_points_extra_final_grid, final_weight_at_r_vector_extra, aos_in_r_array_extra_transp)
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!$OMP DO COLLAPSE(2)
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do j = 1, ao_num
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do i = 1, ao_num
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do jpoint = 1, n_points_extra_final_grid
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tmp(jpoint,i,j) = final_weight_at_r_vector_extra(jpoint) * aos_in_r_array_extra_transp(jpoint,i) * aos_in_r_array_extra_transp(jpoint,j)
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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 total_memory(mem)
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mem = max(1.d0, qp_max_mem - mem)
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n_double = mem * 1.d8
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n_blocks = int(min(n_double / (n_points_extra_final_grid * 4.d0), 1.d0*n_points_final_grid))
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n_rest = int(mod(n_points_final_grid, n_blocks))
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n_pass = int((n_points_final_grid - n_rest) / n_blocks)
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call write_int(6, n_pass, 'Number of passes')
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call write_int(6, n_blocks, 'Size of the blocks')
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call write_int(6, n_rest, 'Size of the last block')
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allocate(tmp_grad1_u12_squared(n_points_extra_final_grid,n_blocks), xx(n_points_extra_final_grid,n_blocks,3))
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do i_pass = 1, n_pass
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ii = (i_pass-1)*n_blocks + 1
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i_blocks, ipoint) &
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!$OMP SHARED (n_blocks, n_points_extra_final_grid, ii, xx, final_grid_points, tmp_grad1_u12_squared)
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!$OMP DO
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do i_blocks = 1, n_blocks
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ipoint = ii - 1 + i_blocks ! r1
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call get_grad1_u12_withsq_r1_seq(ipoint, n_points_extra_final_grid, xx(1,i_blocks,1), xx(1,i_blocks,2), xx(1,i_blocks,3), tmp_grad1_u12_squared(1,i_blocks))
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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call dgemm( "T", "N", ao_num*ao_num, n_blocks, n_points_extra_final_grid, -0.5d0 &
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, tmp(1,1,1), n_points_extra_final_grid, tmp_grad1_u12_squared(1,1), n_points_extra_final_grid &
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, 0.d0, int2_grad1_u12_square_ao(1,1,ii), ao_num*ao_num)
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enddo
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deallocate(tmp_grad1_u12_squared, xx)
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if(n_rest .gt. 0) then
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ii = n_pass*n_blocks + 1
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allocate(tmp_grad1_u12_squared(n_points_extra_final_grid,n_rest), xx(n_points_extra_final_grid,n_rest,3))
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i_rest, ipoint) &
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!$OMP SHARED (n_rest, n_points_extra_final_grid, ii, xx, final_grid_points, tmp_grad1_u12_squared)
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!$OMP DO
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do i_rest = 1, n_rest
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ipoint = ii - 1 + i_rest ! r1
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call get_grad1_u12_withsq_r1_seq(ipoint, n_points_extra_final_grid, xx(1,i_rest,1), xx(1,i_rest,2), xx(1,i_rest,3), tmp_grad1_u12_squared(1,i_rest))
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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call dgemm( "T", "N", ao_num*ao_num, n_rest, n_points_extra_final_grid, -0.5d0 &
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, tmp(1,1,1), n_points_extra_final_grid, tmp_grad1_u12_squared(1,1), n_points_extra_final_grid &
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, 0.d0, int2_grad1_u12_square_ao(1,1,ii), ao_num*ao_num)
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deallocate(tmp_grad1_u12_squared, xx)
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endif
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deallocate(tmp)
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else
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! TODO combine 1shot & int2_grad1_u12_square_ao_num
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PROVIDE int2_grad1_u12_square_ao_num
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int2_grad1_u12_square_ao = int2_grad1_u12_square_ao_num
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!PROVIDE int2_grad1_u12_square_ao_num_1shot
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!int2_grad1_u12_square_ao = int2_grad1_u12_square_ao_num_1shot
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endif
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elseif(tc_integ_type .eq. "semi-analytic") then
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print*, ' Numerical integration over r1, with analytical integration over r2'
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! ---
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if(j2e_type .eq. "None") then
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int2_grad1_u12_square_ao = 0.d0
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elseif((j2e_type .eq. "Mu") .and. (env_type .eq. "None")) then
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PROVIDE int2_grad1u2_grad2u2
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, j, ipoint) &
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!$OMP SHARED (int2_grad1_u12_square_ao, ao_num, n_points_final_grid, int2_grad1u2_grad2u2)
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!$OMP DO SCHEDULE (static)
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do ipoint = 1, n_points_final_grid
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do j = 1, ao_num
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do i = 1, ao_num
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int2_grad1_u12_square_ao(i,j,ipoint) = -0.5d0 * int2_grad1u2_grad2u2(i,j,ipoint)
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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FREE int2_grad1u2_grad2u2
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elseif((j2e_type .eq. "Mu") .and. (env_type .eq. "Prod_Gauss")) then
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PROVIDE mu_erf
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PROVIDE env_val env_grad
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if(use_ipp) then
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! the term u12_grad1_u12_env_grad1_env is added directly for performance
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PROVIDE u12sq_envsq grad12_j12
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, j, ipoint) &
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!$OMP SHARED (int2_grad1_u12_square_ao, ao_num, n_points_final_grid, u12sq_envsq, grad12_j12)
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!$OMP DO SCHEDULE (static)
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do ipoint = 1, n_points_final_grid
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do j = 1, ao_num
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do i = 1, ao_num
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int2_grad1_u12_square_ao(i,j,ipoint) = u12sq_envsq(i,j,ipoint) + 0.5d0 * grad12_j12(i,j,ipoint)
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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
|
|
|
|
FREE u12sq_envsq grad12_j12
|
|
|
|
else
|
|
|
|
PROVIDE u12sq_envsq u12_grad1_u12_env_grad1_env grad12_j12
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|
|
|
!$OMP PARALLEL &
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|
!$OMP DEFAULT (NONE) &
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|
!$OMP PRIVATE (i, j, ipoint) &
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|
!$OMP SHARED (int2_grad1_u12_square_ao, ao_num, n_points_final_grid, u12sq_envsq, grad12_j12, u12_grad1_u12_env_grad1_env)
|
|
!$OMP DO SCHEDULE (static)
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|
do ipoint = 1, n_points_final_grid
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|
do j = 1, ao_num
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|
do i = 1, ao_num
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|
int2_grad1_u12_square_ao(i,j,ipoint) = u12sq_envsq(i,j,ipoint) + u12_grad1_u12_env_grad1_env(i,j,ipoint) + 0.5d0 * grad12_j12(i,j,ipoint)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
FREE u12sq_envsq u12_grad1_u12_env_grad1_env grad12_j12
|
|
|
|
endif ! use_ipp
|
|
|
|
elseif((j2e_type .eq. "Mu") .and. (env_type .eq. "Sum_Gauss")) then
|
|
|
|
PROVIDE mu_erf
|
|
PROVIDE env_type env_val env_grad
|
|
|
|
if(use_ipp) then
|
|
|
|
! do not free int2_u2_env2 here
|
|
PROVIDE int2_u2_env2
|
|
PROVIDE int2_grad1u2_grad2u2_env2
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (i, j, ipoint, tmp0_x, tmp0_y, tmp0_z, tmp1, tmp2) &
|
|
!$OMP SHARED (int2_grad1_u12_square_ao, ao_num, n_points_final_grid, &
|
|
!$OMP env_val, env_grad, int2_u2_env2, int2_grad1u2_grad2u2_env2)
|
|
!$OMP DO SCHEDULE (static)
|
|
do ipoint = 1, n_points_final_grid
|
|
tmp0_x = env_grad(1,ipoint)
|
|
tmp0_y = env_grad(2,ipoint)
|
|
tmp0_z = env_grad(3,ipoint)
|
|
tmp1 = -0.5d0 * (tmp0_x * tmp0_x + tmp0_y * tmp0_y + tmp0_z * tmp0_z)
|
|
tmp2 = 0.5d0 * env_val(ipoint) * env_val(ipoint)
|
|
do j = 1, ao_num
|
|
do i = 1, ao_num
|
|
int2_grad1_u12_square_ao(i,j,ipoint) = tmp1 * int2_u2_env2(i,j,ipoint) + tmp2 * int2_grad1u2_grad2u2_env2(i,j,ipoint)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
FREE int2_grad1u2_grad2u2_env2
|
|
|
|
else
|
|
|
|
PROVIDE u12sq_envsq u12_grad1_u12_env_grad1_env grad12_j12
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (i, j, ipoint) &
|
|
!$OMP SHARED (int2_grad1_u12_square_ao, ao_num, n_points_final_grid, u12sq_envsq, grad12_j12, u12_grad1_u12_env_grad1_env)
|
|
!$OMP DO SCHEDULE (static)
|
|
do ipoint = 1, n_points_final_grid
|
|
do j = 1, ao_num
|
|
do i = 1, ao_num
|
|
int2_grad1_u12_square_ao(i,j,ipoint) = u12sq_envsq(i,j,ipoint) + u12_grad1_u12_env_grad1_env(i,j,ipoint) + 0.5d0 * grad12_j12(i,j,ipoint)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
FREE u12sq_envsq u12_grad1_u12_env_grad1_env grad12_j12
|
|
|
|
endif ! use_ipp
|
|
|
|
else
|
|
|
|
print *, ' Error in int2_grad1_u12_square_ao: Unknown Jastrow'
|
|
stop
|
|
|
|
endif ! j2e_type
|
|
|
|
! ---
|
|
|
|
if(j1e_type .ne. "None") then
|
|
|
|
PROVIDE elec_num
|
|
PROVIDE ao_overlap
|
|
PROVIDE j1e_gradx j1e_grady j1e_gradz
|
|
PROVIDE int2_grad1_u2e_ao
|
|
|
|
tmp_ct1 = -1.0d0 / (dble(elec_num) - 1.d0)
|
|
tmp_ct2 = -0.5d0 / ((dble(elec_num) - 1.d0) * (dble(elec_num) - 1.d0))
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ipoint, i, j, dx, dy, dz, r2, &
|
|
!$OMP tmp0, tmp0_x, tmp0_y, tmp0_z) &
|
|
!$OMP SHARED (ao_num, n_points_final_grid, &
|
|
!$OMP tmp_ct1, tmp_ct2, ao_overlap, &
|
|
!$OMP j1e_gradx, j1e_grady, j1e_gradz, &
|
|
!$OMP int2_grad1_u2e_ao, int2_grad1_u12_square_ao)
|
|
!$OMP DO
|
|
do ipoint = 1, n_points_final_grid
|
|
|
|
dx = j1e_gradx(ipoint)
|
|
dy = j1e_grady(ipoint)
|
|
dz = j1e_gradz(ipoint)
|
|
r2 = dx*dx + dy*dy + dz*dz
|
|
|
|
tmp0 = tmp_ct2 * r2
|
|
tmp0_x = tmp_ct1 * dx
|
|
tmp0_y = tmp_ct1 * dy
|
|
tmp0_z = tmp_ct1 * dz
|
|
|
|
do j = 1, ao_num
|
|
do i = 1, ao_num
|
|
|
|
int2_grad1_u12_square_ao(i,j,ipoint) = int2_grad1_u12_square_ao(i,j,ipoint) &
|
|
+ tmp0 * ao_overlap(i,j) &
|
|
+ tmp0_x * int2_grad1_u2e_ao(i,j,ipoint,1) &
|
|
+ tmp0_y * int2_grad1_u2e_ao(i,j,ipoint,2) &
|
|
+ tmp0_z * int2_grad1_u2e_ao(i,j,ipoint,3)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
endif ! j1e_type
|
|
|
|
! ---
|
|
|
|
else
|
|
|
|
write(*, '(A, A, A)') ' Error: The integration type ', trim(tc_integ_type), ' has not been implemented yet'
|
|
stop
|
|
|
|
endif ! tc_integ_type
|
|
|
|
call wall_time(time1)
|
|
print*, ' wall time for int2_grad1_u12_square_ao (min) = ', (time1-time0) / 60.d0
|
|
call print_memory_usage()
|
|
|
|
END_PROVIDER
|
|
|
|
! ---
|
|
|