mirror of
https://github.com/QuantumPackage/qp2.git
synced 2024-11-07 14:03:37 +01:00
437 lines
11 KiB
Fortran
437 lines
11 KiB
Fortran
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! ---
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subroutine get_j1e_coef_fit_ao(dim_fit, coef_fit)
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implicit none
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integer , intent(in) :: dim_fit
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double precision, intent(out) :: coef_fit(dim_fit)
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integer :: i, ipoint
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double precision :: g
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double precision :: t0, t1
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double precision, allocatable :: A(:,:), b(:), A_inv(:,:)
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double precision, allocatable :: Pa(:,:), Pb(:,:), Pt(:,:)
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double precision, allocatable :: u1e_tmp(:)
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PROVIDE j1e_type
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PROVIDE int2_u2e_ao
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PROVIDE elec_alpha_num elec_beta_num elec_num
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PROVIDE mo_coef
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PROVIDE ao_overlap
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call wall_time(t0)
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print*, ' PROVIDING the representation of 1e-Jastrow in AOs ... '
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! --- --- ---
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! get u1e(r)
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allocate(Pa(ao_num,ao_num), Pb(ao_num,ao_num), Pt(ao_num,ao_num))
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call dgemm( 'N', 'T', ao_num, ao_num, elec_alpha_num, 1.d0 &
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, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
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, 0.d0, Pa, size(Pa, 1))
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if(elec_alpha_num .eq. elec_beta_num) then
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Pb = Pa
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else
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call dgemm( 'N', 'T', ao_num, ao_num, elec_beta_num, 1.d0 &
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, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
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, 0.d0, Pb, size(Pb, 1))
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endif
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Pt = Pa + Pb
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allocate(u1e_tmp(n_points_final_grid))
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g = -0.5d0 * (dble(elec_num) - 1.d0) / dble(elec_num)
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call dgemv("T", ao_num*ao_num, n_points_final_grid, g, int2_u2e_ao, ao_num*ao_num, Pt, 1, 0.d0, u1e_tmp, 1)
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FREE int2_u2e_ao
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deallocate(Pa, Pb, Pt)
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! --- --- ---
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! get A & b
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allocate(A(ao_num,ao_num), b(ao_num))
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A(1:ao_num,1:ao_num) = ao_overlap(1:ao_num,1:ao_num)
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, ipoint) &
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!$OMP SHARED (n_points_final_grid, ao_num, &
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!$OMP final_weight_at_r_vector, aos_in_r_array_transp, u1e_tmp, b)
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!$OMP DO SCHEDULE (static)
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do i = 1, ao_num
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b(i) = 0.d0
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do ipoint = 1, n_points_final_grid
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b(i) = b(i) + final_weight_at_r_vector(ipoint) * aos_in_r_array_transp(ipoint,i) * u1e_tmp(ipoint)
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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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deallocate(u1e_tmp)
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! --- --- ---
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! solve Ax = b
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allocate(A_inv(ao_num,ao_num))
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call get_inverse(A, ao_num, ao_num, A_inv, ao_num)
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! coef_fit = A_inv x b
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call dgemv("N", ao_num, ao_num, 1.d0, A_inv, ao_num, b, 1, 0.d0, coef_fit, 1)
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integer :: j
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double precision :: tmp, acc, nrm
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acc = 0.d0
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nrm = 0.d0
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print *, ' check A_inv'
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do i = 1, ao_num
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tmp = 0.d0
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do j = 1, ao_num
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tmp += ao_overlap(i,j) * coef_fit(j)
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enddo
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tmp = tmp - b(i)
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if(dabs(tmp) .gt. 1d-8) then
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print*, ' problem found in fitting 1e-Jastrow'
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print*, i, tmp
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endif
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acc += dabs(tmp)
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nrm += dabs(b(i))
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enddo
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print *, ' Relative Error (%) =', 100.d0*acc/nrm
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deallocate(A, A_inv, b)
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call wall_time(t1)
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print*, ' END after (min) ', (t1-t0)/60.d0
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return
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end
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! ---
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subroutine get_j1e_coef_fit_ao2(dim_fit, coef_fit)
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implicit none
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integer , intent(in) :: dim_fit
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double precision, intent(out) :: coef_fit(dim_fit,dim_fit)
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integer :: i, j, k, l, ipoint
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integer :: ij, kl, mn
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integer :: info, n_svd, LWORK
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double precision :: g
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double precision :: t0, t1, svd_t0, svd_t1
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double precision :: cutoff_svd, D1_inv
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double precision, allocatable :: diff(:)
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double precision, allocatable :: A(:,:,:,:), b(:), A_tmp(:,:,:,:)
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double precision, allocatable :: Pa(:,:), Pb(:,:), Pt(:,:)
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double precision, allocatable :: u1e_tmp(:), tmp(:,:,:)
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double precision, allocatable :: U(:,:), D(:), Vt(:,:), work(:)
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PROVIDE j1e_type
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PROVIDE int2_u2e_ao
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PROVIDE elec_alpha_num elec_beta_num elec_num
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PROVIDE mo_coef
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cutoff_svd = 1d-10
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call wall_time(t0)
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print*, ' PROVIDING the representation of 1e-Jastrow in AOs x AOs ... '
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! --- --- ---
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! get u1e(r)
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allocate(Pa(ao_num,ao_num), Pb(ao_num,ao_num), Pt(ao_num,ao_num))
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call dgemm( 'N', 'T', ao_num, ao_num, elec_alpha_num, 1.d0 &
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, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
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, 0.d0, Pa, size(Pa, 1))
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if(elec_alpha_num .eq. elec_beta_num) then
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Pb = Pa
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else
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call dgemm( 'N', 'T', ao_num, ao_num, elec_beta_num, 1.d0 &
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, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
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, 0.d0, Pb, size(Pb, 1))
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endif
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Pt = Pa + Pb
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allocate(u1e_tmp(n_points_final_grid))
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g = -0.5d0 * (dble(elec_num) - 1.d0) / dble(elec_num)
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call dgemv("T", ao_num*ao_num, n_points_final_grid, g, int2_u2e_ao, ao_num*ao_num, Pt, 1, 0.d0, u1e_tmp, 1)
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FREE int2_u2e_ao
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deallocate(Pa, Pb, Pt)
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! --- --- ---
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! get A
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allocate(tmp(n_points_final_grid,ao_num,ao_num))
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allocate(A(ao_num,ao_num,ao_num,ao_num))
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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 (n_points_final_grid, ao_num, final_weight_at_r_vector, aos_in_r_array_transp, tmp)
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!$OMP DO COLLAPSE(2)
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do j = 1, ao_num
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do i = 1, ao_num
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do ipoint = 1, n_points_final_grid
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tmp(ipoint,i,j) = dsqrt(final_weight_at_r_vector(ipoint)) * aos_in_r_array_transp(ipoint,i) * aos_in_r_array_transp(ipoint,j)
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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call dgemm( "T", "N", ao_num*ao_num, ao_num*ao_num, n_points_final_grid, 1.d0 &
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, tmp(1,1,1), n_points_final_grid, tmp(1,1,1), n_points_final_grid &
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, 0.d0, A(1,1,1,1), ao_num*ao_num)
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allocate(A_tmp(ao_num,ao_num,ao_num,ao_num))
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A_tmp = A
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! --- --- ---
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! get b
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allocate(b(ao_num*ao_num))
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do ipoint = 1, n_points_final_grid
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u1e_tmp(ipoint) = dsqrt(final_weight_at_r_vector(ipoint)) * u1e_tmp(ipoint)
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enddo
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call dgemv("T", n_points_final_grid, ao_num*ao_num, 1.d0, tmp(1,1,1), n_points_final_grid, u1e_tmp(1), 1, 0.d0, b(1), 1)
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deallocate(u1e_tmp)
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deallocate(tmp)
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! --- --- ---
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! solve Ax = b
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allocate(D(ao_num*ao_num), U(ao_num*ao_num,ao_num*ao_num), Vt(ao_num*ao_num,ao_num*ao_num))
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call wall_time(svd_t0)
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allocate(work(1))
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lwork = -1
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call dgesvd( 'S', 'A', ao_num*ao_num, ao_num*ao_num, A(1,1,1,1), ao_num*ao_num &
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, D(1), U(1,1), ao_num*ao_num, Vt(1,1), ao_num*ao_num, work, lwork, info)
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if(info /= 0) then
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print *, info, ': SVD failed'
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stop
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endif
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LWORK = max(5*ao_num*ao_num, int(WORK(1)))
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deallocate(work)
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allocate(work(lwork))
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call dgesvd( 'S', 'A', ao_num*ao_num, ao_num*ao_num, A(1,1,1,1), ao_num*ao_num &
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, D(1), U(1,1), ao_num*ao_num, Vt(1,1), ao_num*ao_num, work, lwork, info)
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if(info /= 0) then
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print *, info, ':: SVD failed'
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stop 1
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endif
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deallocate(work)
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call wall_time(svd_t1)
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print*, ' SVD time (min) ', (svd_t1-svd_t0)/60.d0
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if(D(1) .lt. 1d-14) then
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print*, ' largest singular value is very small:', D(1)
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n_svd = 1
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else
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n_svd = 0
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D1_inv = 1.d0 / D(1)
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do ij = 1, ao_num*ao_num
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if(D(ij)*D1_inv > cutoff_svd) then
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D(ij) = 1.d0 / D(ij)
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n_svd = n_svd + 1
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else
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D(ij) = 0.d0
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endif
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enddo
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endif
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print*, ' n_svd = ', n_svd
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ij, kl) &
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!$OMP SHARED (ao_num, n_svd, D, Vt)
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!$OMP DO
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do kl = 1, ao_num*ao_num
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do ij = 1, n_svd
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Vt(ij,kl) = Vt(ij,kl) * D(ij)
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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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! A = A_inv
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call dgemm( "N", "N", ao_num*ao_num, ao_num*ao_num, n_svd, 1.d0 &
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, U(1,1), ao_num*ao_num, Vt(1,1), ao_num*ao_num &
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, 0.d0, A(1,1,1,1), ao_num*ao_num)
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deallocate(D, U, Vt)
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! ---
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! coef_fit = A_inv x b
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call dgemv("N", ao_num*ao_num, ao_num*ao_num, 1.d0, A(1,1,1,1), ao_num*ao_num, b(1), 1, 0.d0, coef_fit(1,1), 1)
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! ---
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allocate(diff(ao_num*ao_num))
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call dgemv("N", ao_num*ao_num, ao_num*ao_num, 1.d0, A_tmp(1,1,1,1), ao_num*ao_num, coef_fit(1,1), 1, 0.d0, diff(1), 1)
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print*, ' accu total on Ax = b (%) = ', 100.d0*sum(dabs(diff-b))/sum(dabs(b))
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deallocate(diff)
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deallocate(A_tmp)
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! ---
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deallocate(A, b)
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call wall_time(t1)
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print*, ' END after (min) ', (t1-t0)/60.d0
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return
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end
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! ---
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subroutine get_j1e_coef_fit_ao3(dim_fit, coef_fit)
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implicit none
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integer , intent(in) :: dim_fit
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double precision, intent(out) :: coef_fit(dim_fit,3)
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integer :: i, d, ipoint
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double precision :: g
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double precision :: t0, t1
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double precision, allocatable :: A(:,:), b(:,:), A_inv(:,:)
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double precision, allocatable :: Pa(:,:), Pb(:,:), Pt(:,:)
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double precision, allocatable :: u1e_tmp(:,:)
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PROVIDE j1e_type
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PROVIDE int2_grad1_u2e_ao
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PROVIDE elec_alpha_num elec_beta_num elec_num
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PROVIDE mo_coef
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PROVIDE ao_overlap
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call wall_time(t0)
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print*, ' PROVIDING the representation of 1e-Jastrow in AOs ... '
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! --- --- ---
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! get u1e(r)
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allocate(Pa(ao_num,ao_num), Pb(ao_num,ao_num), Pt(ao_num,ao_num))
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call dgemm( 'N', 'T', ao_num, ao_num, elec_alpha_num, 1.d0 &
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, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
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, 0.d0, Pa, size(Pa, 1))
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if(elec_alpha_num .eq. elec_beta_num) then
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Pb = Pa
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else
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call dgemm( 'N', 'T', ao_num, ao_num, elec_beta_num, 1.d0 &
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, mo_coef, size(mo_coef, 1), mo_coef, size(mo_coef, 1) &
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, 0.d0, Pb, size(Pb, 1))
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endif
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Pt = Pa + Pb
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allocate(u1e_tmp(n_points_final_grid,3))
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g = -0.5d0 * (dble(elec_num) - 1.d0) / dble(elec_num)
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do d = 1, 3
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call dgemv("T", ao_num*ao_num, n_points_final_grid, g, int2_grad1_u2e_ao(1,1,1,d), ao_num*ao_num, Pt, 1, 0.d0, u1e_tmp(1,d), 1)
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enddo
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deallocate(Pa, Pb, Pt)
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! --- --- ---
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! get A & b
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allocate(A(ao_num,ao_num), b(ao_num,3))
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A(1:ao_num,1:ao_num) = ao_overlap(1:ao_num,1:ao_num)
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, ipoint) &
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!$OMP SHARED (n_points_final_grid, ao_num, &
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!$OMP final_weight_at_r_vector, aos_in_r_array_transp, u1e_tmp, b)
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!$OMP DO SCHEDULE (static)
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do i = 1, ao_num
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b(i,1) = 0.d0
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b(i,2) = 0.d0
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b(i,3) = 0.d0
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do ipoint = 1, n_points_final_grid
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b(i,1) = b(i,1) + final_weight_at_r_vector(ipoint) * aos_in_r_array_transp(ipoint,i) * u1e_tmp(ipoint,1)
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b(i,2) = b(i,2) + final_weight_at_r_vector(ipoint) * aos_in_r_array_transp(ipoint,i) * u1e_tmp(ipoint,2)
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b(i,3) = b(i,3) + final_weight_at_r_vector(ipoint) * aos_in_r_array_transp(ipoint,i) * u1e_tmp(ipoint,3)
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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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deallocate(u1e_tmp)
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! --- --- ---
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! solve Ax = b
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allocate(A_inv(ao_num,ao_num))
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call get_inverse(A, ao_num, ao_num, A_inv, ao_num)
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! coef_fit = A_inv x b
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do d = 1, 3
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call dgemv("N", ao_num, ao_num, 1.d0, A_inv, ao_num, b(1,d), 1, 0.d0, coef_fit(1,d), 1)
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enddo
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integer :: j
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double precision :: tmp, acc, nrm
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acc = 0.d0
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nrm = 0.d0
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print *, ' check A_inv'
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do d = 1, 3
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do i = 1, ao_num
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tmp = 0.d0
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do j = 1, ao_num
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tmp += ao_overlap(i,j) * coef_fit(j,d)
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enddo
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tmp = tmp - b(i,d)
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if(dabs(tmp) .gt. 1d-8) then
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print*, ' problem found in fitting 1e-Jastrow'
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print*, d, i, tmp
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endif
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acc += dabs(tmp)
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nrm += dabs(b(i,d))
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enddo
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enddo
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print *, ' Relative Error (%) =', 100.d0*acc/nrm
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deallocate(A, A_inv, b)
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call wall_time(t1)
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print*, ' END after (min) ', (t1-t0)/60.d0
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return
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end
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! ---
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