LCOV - code coverage report
Current view: top level - src - hfx_pair_list_methods.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:2fce0f8) Lines: 326 337 96.7 %
Date: 2024-12-21 06:28:57 Functions: 5 5 100.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Routines for optimizing load balance between processes in HFX calculations
      10             : !> \par History
      11             : !>      04.2008 created [Manuel Guidon]
      12             : !>      11.2019 fixed initial value for potential_id (A. Bussy)
      13             : !> \author Manuel Guidon
      14             : ! **************************************************************************************************
      15             : MODULE hfx_pair_list_methods
      16             :    USE cell_types,                      ONLY: cell_type,&
      17             :                                               pbc
      18             :    USE gamma,                           ONLY: fgamma => fgamma_0
      19             :    USE hfx_types,                       ONLY: &
      20             :         hfx_basis_type, hfx_block_range_type, hfx_cell_type, hfx_pgf_list, hfx_pgf_product_list, &
      21             :         hfx_potential_type, hfx_screen_coeff_type, pair_list_type, pair_set_list_type
      22             :    USE input_constants,                 ONLY: &
      23             :         do_potential_TShPSC, do_potential_coulomb, do_potential_gaussian, do_potential_id, &
      24             :         do_potential_long, do_potential_mix_cl, do_potential_mix_cl_trunc, do_potential_mix_lg, &
      25             :         do_potential_short, do_potential_truncated
      26             :    USE kinds,                           ONLY: dp
      27             :    USE libint_wrapper,                  ONLY: prim_data_f_size
      28             :    USE mathconstants,                   ONLY: pi
      29             :    USE mp2_types,                       ONLY: pair_list_type_mp2
      30             :    USE particle_types,                  ONLY: particle_type
      31             :    USE t_c_g0,                          ONLY: t_c_g0_n
      32             :    USE t_sh_p_s_c,                      ONLY: trunc_CS_poly_n20
      33             : #include "./base/base_uses.f90"
      34             : 
      35             :    IMPLICIT NONE
      36             :    PRIVATE
      37             : 
      38             :    PUBLIC :: build_pair_list, &
      39             :              build_pair_list_mp2, &
      40             :              build_pair_list_pgf, &
      41             :              build_pgf_product_list, &
      42             :              build_atomic_pair_list, &
      43             :              pgf_product_list_size
      44             : 
      45             :    ! an initial estimate for the size of the product list
      46             :    INTEGER, SAVE :: pgf_product_list_size = 128
      47             : 
      48             : !***
      49             : 
      50             : CONTAINS
      51             : 
      52             : ! **************************************************************************************************
      53             : !> \brief ...
      54             : !> \param list1 ...
      55             : !> \param list2 ...
      56             : !> \param product_list ...
      57             : !> \param nproducts ...
      58             : !> \param log10_pmax ...
      59             : !> \param log10_eps_schwarz ...
      60             : !> \param neighbor_cells ...
      61             : !> \param cell ...
      62             : !> \param potential_parameter ...
      63             : !> \param m_max ...
      64             : !> \param do_periodic ...
      65             : ! **************************************************************************************************
      66    74816522 :    SUBROUTINE build_pgf_product_list(list1, list2, product_list, nproducts, &
      67             :                                      log10_pmax, log10_eps_schwarz, neighbor_cells, &
      68             :                                      cell, potential_parameter, m_max, do_periodic)
      69             : 
      70             :       TYPE(hfx_pgf_list)                                 :: list1, list2
      71             :       TYPE(hfx_pgf_product_list), ALLOCATABLE, &
      72             :          DIMENSION(:), INTENT(INOUT)                     :: product_list
      73             :       INTEGER, INTENT(OUT)                               :: nproducts
      74             :       REAL(dp), INTENT(IN)                               :: log10_pmax, log10_eps_schwarz
      75             :       TYPE(hfx_cell_type), DIMENSION(:), POINTER         :: neighbor_cells
      76             :       TYPE(cell_type), POINTER                           :: cell
      77             :       TYPE(hfx_potential_type)                           :: potential_parameter
      78             :       INTEGER, INTENT(IN)                                :: m_max
      79             :       LOGICAL, INTENT(IN)                                :: do_periodic
      80             : 
      81             :       INTEGER                                            :: i, j, k, l, nimages1, nimages2, tmp_i4
      82             :       LOGICAL                                            :: use_gamma
      83             :       REAL(dp) :: C11(3), den, Eta, EtaInv, factor, Fm(prim_data_f_size), G(3), num, omega2, &
      84             :          omega_corr, omega_corr2, P(3), pgf_max_1, pgf_max_2, PQ(3), Q(3), R, R1, R2, ra(3), &
      85             :          rb(3), rc(3), rd(3), Rho, RhoInv, rpq2, S1234, S1234a, S1234b, shift(3), ssss, T, &
      86             :          temp(3), temp_CC(3), temp_DD(3), tmp, tmp_D(3), W(3), Zeta1, Zeta_C, Zeta_D, ZetapEtaInv
      87             :       TYPE(hfx_pgf_product_list), ALLOCATABLE, &
      88    74816522 :          DIMENSION(:)                                    :: tmp_product_list
      89             : 
      90    74816522 :       nimages1 = list1%nimages
      91    74816522 :       nimages2 = list2%nimages
      92    74816522 :       nproducts = 0
      93    74816522 :       Zeta1 = list1%zetapzetb
      94    74816522 :       Eta = list2%zetapzetb
      95    74816522 :       EtaInv = list2%ZetaInv
      96    74816522 :       Zeta_C = list2%zeta
      97    74816522 :       Zeta_D = list2%zetb
      98    74816522 :       temp_CC = 0.0_dp
      99    74816522 :       temp_DD = 0.0_dp
     100   159599649 :       DO i = 1, nimages1
     101   339132508 :          P = list1%image_list(i)%P
     102    84783127 :          R1 = list1%image_list(i)%R
     103    84783127 :          S1234a = list1%image_list(i)%S1234
     104    84783127 :          pgf_max_1 = list1%image_list(i)%pgf_max
     105   339132508 :          ra = list1%image_list(i)%ra
     106   339132508 :          rb = list1%image_list(i)%rb
     107   283362132 :          DO j = 1, nimages2
     108   123762483 :             pgf_max_2 = list2%image_list(j)%pgf_max
     109   123762483 :             IF (pgf_max_1 + pgf_max_2 + log10_pmax < log10_eps_schwarz) CYCLE
     110   339901704 :             Q = list2%image_list(j)%P
     111    84975426 :             R2 = list2%image_list(j)%R
     112    84975426 :             S1234b = list2%image_list(j)%S1234
     113   339901704 :             rc = list2%image_list(j)%ra
     114   339901704 :             rd = list2%image_list(j)%rb
     115             : 
     116    84975426 :             ZetapEtaInv = Zeta1 + Eta
     117    84975426 :             ZetapEtaInv = 1.0_dp/ZetapEtaInv
     118    84975426 :             Rho = Zeta1*Eta*ZetapEtaInv
     119    84975426 :             RhoInv = 1.0_dp/Rho
     120    84975426 :             S1234 = EXP(S1234a + S1234b)
     121    84975426 :             IF (do_periodic) THEN
     122   152664568 :                temp = P - Q
     123    38166142 :                PQ = pbc(temp, cell)
     124   152664568 :                shift = -PQ + temp
     125   152664568 :                temp_CC = rc + shift
     126   152664568 :                temp_DD = rd + shift
     127             :             END IF
     128             : 
     129  2350508853 :             DO k = 1, SIZE(neighbor_cells)
     130  2180750300 :                IF (do_periodic) THEN
     131  8535764064 :                   C11 = temp_CC + neighbor_cells(k)%cell_r(:)
     132  8535764064 :                   tmp_D = temp_DD + neighbor_cells(k)%cell_r(:)
     133             :                ELSE
     134    46809284 :                   C11 = rc
     135    46809284 :                   tmp_D = rd
     136             :                END IF
     137  8723001200 :                Q = (Zeta_C*C11 + Zeta_D*tmp_D)*EtaInv
     138  2180750300 :                rpq2 = (P(1) - Q(1))**2 + (P(2) - Q(2))**2 + (P(3) - Q(3))**2
     139             :                IF (potential_parameter%potential_type == do_potential_truncated .OR. &
     140  2180750300 :                    potential_parameter%potential_type == do_potential_short .OR. &
     141             :                    potential_parameter%potential_type == do_potential_mix_cl_trunc) THEN
     142  2122995357 :                   IF (rpq2 > (R1 + R2 + potential_parameter%cutoff_radius)**2) CYCLE
     143             :                END IF
     144   185254870 :                IF (potential_parameter%potential_type == do_potential_TShPSC) THEN
     145     1160608 :                   IF (rpq2 > (R1 + R2 + potential_parameter%cutoff_radius*2.0_dp)**2) CYCLE
     146             :                END IF
     147   185254870 :                nproducts = nproducts + 1
     148             : 
     149             :                ! allocate size as needed,
     150             :                ! updating the global size estimate to make this a rare event in longer simulations
     151   185254870 :                IF (nproducts > SIZE(product_list)) THEN
     152        1311 : !$OMP              ATOMIC READ
     153             :                   tmp_i4 = pgf_product_list_size
     154        1311 :                   tmp_i4 = MAX(pgf_product_list_size, (3*nproducts + 1)/2)
     155        1311 : !$OMP              ATOMIC WRITE
     156             :                   pgf_product_list_size = tmp_i4
     157     2702601 :                   ALLOCATE (tmp_product_list(SIZE(product_list)))
     158     2637051 :                   tmp_product_list(:) = product_list
     159        1311 :                   DEALLOCATE (product_list)
     160     4022802 :                   ALLOCATE (product_list(tmp_i4))
     161     2637051 :                   product_list(1:SIZE(tmp_product_list)) = tmp_product_list
     162        1311 :                   DEALLOCATE (tmp_product_list)
     163             :                END IF
     164             : 
     165   185254870 :                T = Rho*rpq2
     166   300276366 :                SELECT CASE (potential_parameter%potential_type)
     167             :                CASE (do_potential_truncated)
     168   115021496 :                   R = potential_parameter%cutoff_radius*SQRT(Rho)
     169   115021496 :                   CALL t_c_g0_n(product_list(nproducts)%Fm(1), use_gamma, R, T, m_max)
     170   115021496 :                   IF (use_gamma) CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
     171   115021496 :                   factor = 2.0_dp*Pi*RhoInv
     172             :                CASE (do_potential_TShPSC)
     173     1160608 :                   R = potential_parameter%cutoff_radius*SQRT(Rho)
     174    25533376 :                   product_list(nproducts)%Fm = 0.0_dp
     175     1160608 :                   CALL trunc_CS_poly_n20(product_list(nproducts)%Fm(1), R, T, m_max)
     176     1160608 :                   factor = 2.0_dp*Pi*RhoInv
     177             :                CASE (do_potential_coulomb)
     178    54594658 :                   CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
     179    54594658 :                   factor = 2.0_dp*Pi*RhoInv
     180             :                CASE (do_potential_short)
     181     6538556 :                   CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
     182     6538556 :                   omega2 = potential_parameter%omega**2
     183     6538556 :                   omega_corr2 = omega2/(omega2 + Rho)
     184     6538556 :                   omega_corr = SQRT(omega_corr2)
     185     6538556 :                   T = T*omega_corr2
     186     6538556 :                   CALL fgamma(m_max, T, Fm)
     187     6538556 :                   tmp = -omega_corr
     188    29777583 :                   DO l = 1, m_max + 1
     189    23239027 :                      product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l) + Fm(l)*tmp
     190    29777583 :                      tmp = tmp*omega_corr2
     191             :                   END DO
     192     6538556 :                   factor = 2.0_dp*Pi*RhoInv
     193             :                CASE (do_potential_long)
     194     1087576 :                   omega2 = potential_parameter%omega**2
     195     1087576 :                   omega_corr2 = omega2/(omega2 + Rho)
     196     1087576 :                   omega_corr = SQRT(omega_corr2)
     197     1087576 :                   T = T*omega_corr2
     198     1087576 :                   CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
     199     1087576 :                   tmp = omega_corr
     200     3835774 :                   DO l = 1, m_max + 1
     201     2748198 :                      product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)*tmp
     202     3835774 :                      tmp = tmp*omega_corr2
     203             :                   END DO
     204     1087576 :                   factor = 2.0_dp*Pi*RhoInv
     205             :                CASE (do_potential_mix_cl)
     206      830487 :                   CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
     207      830487 :                   omega2 = potential_parameter%omega**2
     208      830487 :                   omega_corr2 = omega2/(omega2 + Rho)
     209      830487 :                   omega_corr = SQRT(omega_corr2)
     210      830487 :                   T = T*omega_corr2
     211      830487 :                   CALL fgamma(m_max, T, Fm)
     212      830487 :                   tmp = omega_corr
     213     3047189 :                   DO l = 1, m_max + 1
     214             :                      product_list(nproducts)%Fm(l) = &
     215             :                         product_list(nproducts)%Fm(l)*potential_parameter%scale_coulomb &
     216     2216702 :                         + Fm(l)*tmp*potential_parameter%scale_longrange
     217     3047189 :                      tmp = tmp*omega_corr2
     218             :                   END DO
     219      830487 :                   factor = 2.0_dp*Pi*RhoInv
     220             :                CASE (do_potential_mix_cl_trunc)
     221             : 
     222             :                   ! truncated
     223     5939875 :                   R = potential_parameter%cutoff_radius*SQRT(rho)
     224     5939875 :                   CALL t_c_g0_n(product_list(nproducts)%Fm(1), use_gamma, R, T, m_max)
     225     5939875 :                   IF (use_gamma) CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
     226             : 
     227             :                   ! Coulomb
     228     5939875 :                   CALL fgamma(m_max, T, Fm)
     229             : 
     230    23020373 :                   DO l = 1, m_max + 1
     231             :                      product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)* &
     232             :                                                      (potential_parameter%scale_coulomb + potential_parameter%scale_longrange) - &
     233    23020373 :                                                      Fm(l)*potential_parameter%scale_longrange
     234             :                   END DO
     235             : 
     236             :                   ! longrange
     237     5939875 :                   omega2 = potential_parameter%omega**2
     238     5939875 :                   omega_corr2 = omega2/(omega2 + Rho)
     239     5939875 :                   omega_corr = SQRT(omega_corr2)
     240     5939875 :                   T = T*omega_corr2
     241     5939875 :                   CALL fgamma(m_max, T, Fm)
     242     5939875 :                   tmp = omega_corr
     243    23020373 :                   DO l = 1, m_max + 1
     244    17080498 :                      product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l) + Fm(l)*tmp*potential_parameter%scale_longrange
     245    23020373 :                      tmp = tmp*omega_corr2
     246             :                   END DO
     247     5939875 :                   factor = 2.0_dp*Pi*RhoInv
     248             : 
     249             :                CASE (do_potential_gaussian)
     250           0 :                   omega2 = potential_parameter%omega**2
     251           0 :                   T = -omega2*T/(Rho + omega2)
     252           0 :                   tmp = 1.0_dp
     253           0 :                   DO l = 1, m_max + 1
     254           0 :                      product_list(nproducts)%Fm(l) = EXP(T)*tmp
     255           0 :                      tmp = tmp*omega2/(Rho + omega2)
     256             :                   END DO
     257           0 :                   factor = (Pi/(Rho + omega2))**(1.5_dp)
     258             :                CASE (do_potential_mix_lg)
     259       29282 :                   omega2 = potential_parameter%omega**2
     260       29282 :                   omega_corr2 = omega2/(omega2 + Rho)
     261       29282 :                   omega_corr = SQRT(omega_corr2)
     262       29282 :                   T = T*omega_corr2
     263       29282 :                   CALL fgamma(m_max, T, Fm)
     264       29282 :                   tmp = omega_corr*2.0_dp*Pi*RhoInv*potential_parameter%scale_longrange
     265      122452 :                   DO l = 1, m_max + 1
     266       93170 :                      Fm(l) = Fm(l)*tmp
     267      122452 :                      tmp = tmp*omega_corr2
     268             :                   END DO
     269             :                   T = Rho*rpq2
     270       29282 :                   T = -omega2*T/(Rho + omega2)
     271       29282 :                   tmp = (Pi/(Rho + omega2))**(1.5_dp)*potential_parameter%scale_gaussian
     272      122452 :                   DO l = 1, m_max + 1
     273       93170 :                      product_list(nproducts)%Fm(l) = EXP(T)*tmp + Fm(l)
     274      122452 :                      tmp = tmp*omega2/(Rho + omega2)
     275             :                   END DO
     276       52332 :                   factor = 1.0_dp
     277             :                CASE (do_potential_id)
     278       52332 :                   num = list1%zeta*list1%zetb
     279       52332 :                   den = list1%zeta + list1%zetb
     280      209328 :                   ssss = -num/den*SUM((ra - rb)**2)
     281             : 
     282       52332 :                   num = den*Zeta_C
     283       52332 :                   den = den + Zeta_C
     284      209328 :                   ssss = ssss - num/den*SUM((P - rc)**2)
     285             : 
     286      209328 :                   G(:) = (list1%zeta*ra(:) + list1%zetb*rb(:) + Zeta_C*rc(:))/den
     287       52332 :                   num = den*Zeta_D
     288       52332 :                   den = den + Zeta_D
     289      209328 :                   ssss = ssss - num/den*SUM((G - rd)**2)
     290             : 
     291     1151304 :                   product_list(nproducts)%Fm(:) = EXP(ssss)
     292       52332 :                   factor = 1.0_dp
     293   185307202 :                   IF (S1234 > EPSILON(0.0_dp)) factor = 1.0_dp/S1234
     294             :                END SELECT
     295             : 
     296   185254870 :                tmp = (Pi*ZetapEtaInv)**3
     297   185254870 :                factor = factor*S1234*SQRT(tmp)
     298             : 
     299   699086141 :                DO l = 1, m_max + 1
     300   699086141 :                   product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)*factor
     301             :                END DO
     302             : 
     303   741019480 :                W = (Zeta1*P + Eta*Q)*ZetapEtaInv
     304   741019480 :                product_list(nproducts)%ra = ra
     305   741019480 :                product_list(nproducts)%rb = rb
     306   741019480 :                product_list(nproducts)%rc = C11
     307   741019480 :                product_list(nproducts)%rd = tmp_D
     308   185254870 :                product_list(nproducts)%ZetapEtaInv = ZetapEtaInv
     309   185254870 :                product_list(nproducts)%Rho = Rho
     310   185254870 :                product_list(nproducts)%RhoInv = RhoInv
     311   741019480 :                product_list(nproducts)%P = P
     312   741019480 :                product_list(nproducts)%Q = Q
     313   741019480 :                product_list(nproducts)%W = W
     314   741019480 :                product_list(nproducts)%AB = ra - rb
     315  2860277393 :                product_list(nproducts)%CD = C11 - tmp_D
     316             :             END DO
     317             :          END DO
     318             :       END DO
     319             : 
     320    74816522 :    END SUBROUTINE build_pgf_product_list
     321             : 
     322             : ! **************************************************************************************************
     323             : !> \brief ...
     324             : !> \param npgfa ...
     325             : !> \param npgfb ...
     326             : !> \param list ...
     327             : !> \param zeta ...
     328             : !> \param zetb ...
     329             : !> \param screen1 ...
     330             : !> \param screen2 ...
     331             : !> \param pgf ...
     332             : !> \param R_pgf ...
     333             : !> \param log10_pmax ...
     334             : !> \param log10_eps_schwarz ...
     335             : !> \param ra ...
     336             : !> \param rb ...
     337             : !> \param nelements ...
     338             : !> \param neighbor_cells ...
     339             : !> \param nimages ...
     340             : !> \param do_periodic ...
     341             : ! **************************************************************************************************
     342    17254192 :    SUBROUTINE build_pair_list_pgf(npgfa, npgfb, list, zeta, zetb, screen1, screen2, pgf, R_pgf, &
     343             :                                   log10_pmax, log10_eps_schwarz, ra, rb, nelements, &
     344    17254192 :                                   neighbor_cells, nimages, do_periodic)
     345             :       INTEGER, INTENT(IN)                                :: npgfa, npgfb
     346             :       TYPE(hfx_pgf_list), DIMENSION(npgfa*npgfb)         :: list
     347             :       REAL(dp), DIMENSION(1:npgfa), INTENT(IN)           :: zeta
     348             :       REAL(dp), DIMENSION(1:npgfb), INTENT(IN)           :: zetb
     349             :       REAL(dp), INTENT(IN)                               :: screen1(2), screen2(2)
     350             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
     351             :          POINTER                                         :: pgf, R_pgf
     352             :       REAL(dp), INTENT(IN)                               :: log10_pmax, log10_eps_schwarz, ra(3), &
     353             :                                                             rb(3)
     354             :       INTEGER, INTENT(OUT)                               :: nelements
     355             :       TYPE(hfx_cell_type), DIMENSION(:), POINTER         :: neighbor_cells
     356             :       INTEGER                                            :: nimages(npgfa*npgfb)
     357             :       LOGICAL, INTENT(IN)                                :: do_periodic
     358             : 
     359             :       INTEGER                                            :: element_counter, i, ipgf, j, jpgf
     360             :       REAL(dp)                                           :: AB(3), im_B(3), pgf_max, rab2, Zeta1, &
     361             :                                                             Zeta_A, Zeta_B, ZetaInv
     362             : 
     363    62017986 :       nimages = 0
     364             :       ! ** inner loop may never be reached
     365    17254192 :       nelements = npgfa*npgfb
     366   137146092 :       DO i = 1, SIZE(neighbor_cells)
     367   119891900 :          IF (do_periodic) THEN
     368   433813008 :             im_B = rb + neighbor_cells(i)%cell_r(:)
     369             :          ELSE
     370    11438648 :             im_B = rb
     371             :          END IF
     372   479567600 :          AB = ra - im_B
     373   119891900 :          rab2 = AB(1)**2 + AB(2)**2 + AB(3)**2
     374   119891900 :          IF (screen1(1)*rab2 + screen1(2) + screen2(2) + log10_pmax < log10_eps_schwarz) CYCLE
     375             :          element_counter = 0
     376    56657680 :          DO ipgf = 1, npgfa
     377   111549948 :             DO jpgf = 1, npgfb
     378    54892268 :                element_counter = element_counter + 1
     379    54892268 :                pgf_max = pgf(jpgf, ipgf)%x(1)*rab2 + pgf(jpgf, ipgf)%x(2)
     380    54892268 :                IF (pgf_max + screen2(2) + log10_pmax < log10_eps_schwarz) THEN
     381             :                   CYCLE
     382             :                END IF
     383    46320113 :                nimages(element_counter) = nimages(element_counter) + 1
     384    46320113 :                list(element_counter)%image_list(nimages(element_counter))%pgf_max = pgf_max
     385   185280452 :                list(element_counter)%image_list(nimages(element_counter))%ra = ra
     386   185280452 :                list(element_counter)%image_list(nimages(element_counter))%rb = im_B
     387    46320113 :                list(element_counter)%image_list(nimages(element_counter))%rab2 = rab2
     388             : 
     389    46320113 :                Zeta_A = zeta(ipgf)
     390    46320113 :                Zeta_B = zetb(jpgf)
     391    46320113 :                Zeta1 = Zeta_A + Zeta_B
     392    46320113 :                ZetaInv = 1.0_dp/Zeta1
     393             : 
     394    46320113 :                IF (nimages(element_counter) == 1) THEN
     395    40187382 :                   list(element_counter)%ipgf = ipgf
     396    40187382 :                   list(element_counter)%jpgf = jpgf
     397    40187382 :                   list(element_counter)%zetaInv = ZetaInv
     398    40187382 :                   list(element_counter)%zetapzetb = Zeta1
     399    40187382 :                   list(element_counter)%zeta = Zeta_A
     400    40187382 :                   list(element_counter)%zetb = Zeta_B
     401             :                END IF
     402             : 
     403    46320113 :                list(element_counter)%image_list(nimages(element_counter))%S1234 = (-Zeta_A*Zeta_B*ZetaInv*rab2)
     404   185280452 :                list(element_counter)%image_list(nimages(element_counter))%P = (Zeta_A*ra + Zeta_B*im_B)*ZetaInv
     405             :                list(element_counter)%image_list(nimages(element_counter))%R = &
     406    46320113 :                   MAX(0.0_dp, R_pgf(jpgf, ipgf)%x(1)*rab2 + R_pgf(jpgf, ipgf)%x(2))
     407   185280452 :                list(element_counter)%image_list(nimages(element_counter))%ra = ra
     408   185280452 :                list(element_counter)%image_list(nimages(element_counter))%rb = im_B
     409    46320113 :                list(element_counter)%image_list(nimages(element_counter))%rab2 = rab2
     410   228422139 :                list(element_counter)%image_list(nimages(element_counter))%bcell = neighbor_cells(i)%cell
     411             :             END DO
     412             :          END DO
     413   137146092 :          nelements = MAX(nelements, element_counter)
     414             :       END DO
     415    62017986 :       DO j = 1, nelements
     416    62017986 :          list(j)%nimages = nimages(j)
     417             :       END DO
     418             :       ! ** Remove unused elements
     419             : 
     420             :       element_counter = 0
     421    62017986 :       DO j = 1, nelements
     422    44763794 :          IF (list(j)%nimages == 0) CYCLE
     423    40187382 :          element_counter = element_counter + 1
     424    40187382 :          list(element_counter)%nimages = list(j)%nimages
     425    40187382 :          list(element_counter)%zetapzetb = list(j)%zetapzetb
     426    40187382 :          list(element_counter)%ZetaInv = list(j)%ZetaInv
     427    40187382 :          list(element_counter)%zeta = list(j)%zeta
     428    40187382 :          list(element_counter)%zetb = list(j)%zetb
     429    40187382 :          list(element_counter)%ipgf = list(j)%ipgf
     430    40187382 :          list(element_counter)%jpgf = list(j)%jpgf
     431   103761687 :          DO i = 1, list(j)%nimages
     432    91083907 :             list(element_counter)%image_list(i) = list(j)%image_list(i)
     433             :          END DO
     434             :       END DO
     435             : 
     436    17254192 :       nelements = element_counter
     437             : 
     438    17254192 :    END SUBROUTINE build_pair_list_pgf
     439             : 
     440             : ! **************************************************************************************************
     441             : !> \brief ...
     442             : !> \param natom ...
     443             : !> \param list ...
     444             : !> \param set_list ...
     445             : !> \param i_start ...
     446             : !> \param i_end ...
     447             : !> \param j_start ...
     448             : !> \param j_end ...
     449             : !> \param kind_of ...
     450             : !> \param basis_parameter ...
     451             : !> \param particle_set ...
     452             : !> \param do_periodic ...
     453             : !> \param coeffs_set ...
     454             : !> \param coeffs_kind ...
     455             : !> \param coeffs_kind_max0 ...
     456             : !> \param log10_eps_schwarz ...
     457             : !> \param cell ...
     458             : !> \param pmax_blocks ...
     459             : !> \param atomic_pair_list ...
     460             : ! **************************************************************************************************
     461  2995051538 :    SUBROUTINE build_pair_list(natom, list, set_list, i_start, i_end, j_start, j_end, kind_of, basis_parameter, particle_set, &
     462     2838526 :                               do_periodic, coeffs_set, coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
     463     2838526 :                               pmax_blocks, atomic_pair_list)
     464             : 
     465             :       INTEGER, INTENT(IN)                                :: natom
     466             :       TYPE(pair_list_type), INTENT(OUT)                  :: list
     467             :       TYPE(pair_set_list_type), DIMENSION(:), &
     468             :          INTENT(OUT)                                     :: set_list
     469             :       INTEGER, INTENT(IN)                                :: i_start, i_end, j_start, j_end, &
     470             :                                                             kind_of(*)
     471             :       TYPE(hfx_basis_type), DIMENSION(:), INTENT(IN), &
     472             :          POINTER                                         :: basis_parameter
     473             :       TYPE(particle_type), DIMENSION(:), INTENT(IN), &
     474             :          POINTER                                         :: particle_set
     475             :       LOGICAL, INTENT(IN)                                :: do_periodic
     476             :       TYPE(hfx_screen_coeff_type), &
     477             :          DIMENSION(:, :, :, :), INTENT(IN), POINTER      :: coeffs_set
     478             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
     479             :          INTENT(IN)                                      :: coeffs_kind
     480             :       REAL(KIND=dp), INTENT(IN)                          :: coeffs_kind_max0, log10_eps_schwarz
     481             :       TYPE(cell_type), POINTER                           :: cell
     482             :       REAL(dp), INTENT(IN)                               :: pmax_blocks
     483             :       LOGICAL, DIMENSION(natom, natom), INTENT(IN)       :: atomic_pair_list
     484             : 
     485             :       INTEGER                                            :: iatom, ikind, iset, jatom, jkind, jset, &
     486             :                                                             n_element, nset_ij, nseta, nsetb
     487             :       REAL(KIND=dp)                                      :: rab2
     488             :       REAL(KIND=dp), DIMENSION(3)                        :: B11, pbc_B, ra, rb, temp
     489             : 
     490     2838526 :       n_element = 0
     491     2838526 :       nset_ij = 0
     492             : 
     493     5677052 :       DO iatom = i_start, i_end
     494     8515578 :          DO jatom = j_start, j_end
     495     2838526 :             IF (atomic_pair_list(jatom, iatom) .EQV. .FALSE.) CYCLE
     496             : 
     497     2677708 :             ikind = kind_of(iatom)
     498     2677708 :             nseta = basis_parameter(ikind)%nset
     499    10710832 :             ra = particle_set(iatom)%r(:)
     500             : 
     501     2677708 :             IF (jatom < iatom) CYCLE
     502     2677708 :             jkind = kind_of(jatom)
     503     2677708 :             nsetb = basis_parameter(jkind)%nset
     504    10710832 :             rb = particle_set(jatom)%r(:)
     505             : 
     506     2677708 :             IF (do_periodic) THEN
     507     4507696 :                temp = rb - ra
     508     1126924 :                pbc_B = pbc(temp, cell)
     509     4507696 :                B11 = ra + pbc_B
     510     1126924 :                rab2 = (ra(1) - B11(1))**2 + (ra(2) - B11(2))**2 + (ra(3) - B11(3))**2
     511             :             ELSE
     512     1550784 :                rab2 = (ra(1) - rb(1))**2 + (ra(2) - rb(2))**2 + (ra(3) - rb(3))**2
     513     1550784 :                B11 = rb ! ra - rb
     514             :             END IF
     515     2677708 :             IF ((coeffs_kind(jkind, ikind)%x(1)*rab2 + &
     516             :                  coeffs_kind(jkind, ikind)%x(2)) + coeffs_kind_max0 + pmax_blocks < log10_eps_schwarz) CYCLE
     517             : 
     518     2667948 :             n_element = n_element + 1
     519     8003844 :             list%elements(n_element)%pair = (/iatom, jatom/)
     520     8003844 :             list%elements(n_element)%kind_pair = (/ikind, jkind/)
     521    10671792 :             list%elements(n_element)%r1 = ra
     522    10671792 :             list%elements(n_element)%r2 = B11
     523     2667948 :             list%elements(n_element)%dist2 = rab2
     524             :             ! build a list of guaranteed overlapping sets
     525     2667948 :             list%elements(n_element)%set_bounds(1) = nset_ij + 1
     526     9632760 :             DO iset = 1, nseta
     527    30099524 :                DO jset = 1, nsetb
     528    20466764 :                   IF (coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2 + coeffs_set(jset, iset, jkind, ikind)%x(2) + &
     529             :                       coeffs_kind_max0 + pmax_blocks < log10_eps_schwarz) CYCLE
     530    19149030 :                   nset_ij = nset_ij + 1
     531    65729636 :                   set_list(nset_ij)%pair = (/iset, jset/)
     532             :                END DO
     533             :             END DO
     534     5677052 :             list%elements(n_element)%set_bounds(2) = nset_ij
     535             :          END DO
     536             :       END DO
     537             : 
     538     2838526 :       list%n_element = n_element
     539             : 
     540     2838526 :    END SUBROUTINE build_pair_list
     541             : 
     542             : ! **************************************************************************************************
     543             : !> \brief ...
     544             : !> \param natom ...
     545             : !> \param atomic_pair_list ...
     546             : !> \param kind_of ...
     547             : !> \param basis_parameter ...
     548             : !> \param particle_set ...
     549             : !> \param do_periodic ...
     550             : !> \param coeffs_kind ...
     551             : !> \param coeffs_kind_max0 ...
     552             : !> \param log10_eps_schwarz ...
     553             : !> \param cell ...
     554             : !> \param blocks ...
     555             : ! **************************************************************************************************
     556        5174 :    SUBROUTINE build_atomic_pair_list(natom, atomic_pair_list, kind_of, basis_parameter, particle_set, &
     557        5174 :                                      do_periodic, coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
     558             :                                      blocks)
     559             :       INTEGER, INTENT(IN)                                :: natom
     560             :       LOGICAL, DIMENSION(natom, natom)                   :: atomic_pair_list
     561             :       INTEGER, INTENT(IN)                                :: kind_of(*)
     562             :       TYPE(hfx_basis_type), DIMENSION(:), INTENT(IN), &
     563             :          POINTER                                         :: basis_parameter
     564             :       TYPE(particle_type), DIMENSION(:), INTENT(IN), &
     565             :          POINTER                                         :: particle_set
     566             :       LOGICAL, INTENT(IN)                                :: do_periodic
     567             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
     568             :          INTENT(IN)                                      :: coeffs_kind
     569             :       REAL(KIND=dp), INTENT(IN)                          :: coeffs_kind_max0, log10_eps_schwarz
     570             :       TYPE(cell_type), POINTER                           :: cell
     571             :       TYPE(hfx_block_range_type), DIMENSION(:), &
     572             :          INTENT(IN), POINTER                             :: blocks
     573             : 
     574             :       INTEGER                                            :: iatom, iatom_end, iatom_start, iblock, &
     575             :                                                             ikind, jatom, jatom_end, jatom_start, &
     576             :                                                             jblock, jkind, nseta, nsetb
     577             :       REAL(KIND=dp)                                      :: rab2
     578             :       REAL(KIND=dp), DIMENSION(3)                        :: B11, pbc_B, ra, rb, temp
     579             : 
     580       77238 :       atomic_pair_list = .FALSE.
     581             : 
     582       20834 :       DO iblock = 1, SIZE(blocks)
     583       15660 :          iatom_start = blocks(iblock)%istart
     584       15660 :          iatom_end = blocks(iblock)%iend
     585       77238 :          DO jblock = 1, SIZE(blocks)
     586       56404 :             jatom_start = blocks(jblock)%istart
     587       56404 :             jatom_end = blocks(jblock)%iend
     588             : 
     589      128468 :             DO iatom = iatom_start, iatom_end
     590       56404 :                ikind = kind_of(iatom)
     591       56404 :                nseta = basis_parameter(ikind)%nset
     592      225616 :                ra = particle_set(iatom)%r(:)
     593      169212 :                DO jatom = jatom_start, jatom_end
     594       56404 :                   IF (jatom < iatom) CYCLE
     595       36032 :                   jkind = kind_of(jatom)
     596       36032 :                   nsetb = basis_parameter(jkind)%nset
     597      144128 :                   rb = particle_set(jatom)%r(:)
     598             : 
     599       36032 :                   IF (do_periodic) THEN
     600       47280 :                      temp = rb - ra
     601       11820 :                      pbc_B = pbc(temp, cell)
     602       47280 :                      B11 = ra + pbc_B
     603       11820 :                      rab2 = (ra(1) - B11(1))**2 + (ra(2) - B11(2))**2 + (ra(3) - B11(3))**2
     604             :                   ELSE
     605       24212 :                      rab2 = (ra(1) - rb(1))**2 + (ra(2) - rb(2))**2 + (ra(3) - rb(3))**2
     606       24212 :                      B11 = rb ! ra - rb
     607             :                   END IF
     608       36032 :                   IF ((coeffs_kind(jkind, ikind)%x(1)*rab2 + &
     609             :                        coeffs_kind(jkind, ikind)%x(2)) + coeffs_kind_max0 < log10_eps_schwarz) CYCLE
     610             : 
     611       35574 :                   atomic_pair_list(jatom, iatom) = .TRUE.
     612      112808 :                   atomic_pair_list(iatom, jatom) = .TRUE.
     613             :                END DO
     614             :             END DO
     615             :          END DO
     616             :       END DO
     617             : 
     618        5174 :    END SUBROUTINE build_atomic_pair_list
     619             : 
     620             : ! **************************************************************************************************
     621             : !> \brief ...
     622             : !> \param natom ...
     623             : !> \param list ...
     624             : !> \param set_list ...
     625             : !> \param i_start ...
     626             : !> \param i_end ...
     627             : !> \param j_start ...
     628             : !> \param j_end ...
     629             : !> \param kind_of ...
     630             : !> \param basis_parameter ...
     631             : !> \param particle_set ...
     632             : !> \param do_periodic ...
     633             : !> \param coeffs_set ...
     634             : !> \param coeffs_kind ...
     635             : !> \param coeffs_kind_max0 ...
     636             : !> \param log10_eps_schwarz ...
     637             : !> \param cell ...
     638             : !> \param pmax_blocks ...
     639             : !> \param atomic_pair_list ...
     640             : !> \param skip_atom_symmetry ...
     641             : ! **************************************************************************************************
     642      595568 :    SUBROUTINE build_pair_list_mp2(natom, list, set_list, i_start, i_end, j_start, j_end, kind_of, basis_parameter, particle_set, &
     643        2994 :                                   do_periodic, coeffs_set, coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
     644        2994 :                                   pmax_blocks, atomic_pair_list, skip_atom_symmetry)
     645             : 
     646             :       INTEGER, INTENT(IN)                                :: natom
     647             :       TYPE(pair_list_type_mp2)                           :: list
     648             :       TYPE(pair_set_list_type), DIMENSION(:), &
     649             :          INTENT(OUT)                                     :: set_list
     650             :       INTEGER, INTENT(IN)                                :: i_start, i_end, j_start, j_end, &
     651             :                                                             kind_of(*)
     652             :       TYPE(hfx_basis_type), DIMENSION(:), INTENT(IN), &
     653             :          POINTER                                         :: basis_parameter
     654             :       TYPE(particle_type), DIMENSION(:), INTENT(IN), &
     655             :          POINTER                                         :: particle_set
     656             :       LOGICAL, INTENT(IN)                                :: do_periodic
     657             :       TYPE(hfx_screen_coeff_type), &
     658             :          DIMENSION(:, :, :, :), INTENT(IN), POINTER      :: coeffs_set
     659             :       TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
     660             :          INTENT(IN)                                      :: coeffs_kind
     661             :       REAL(KIND=dp), INTENT(IN)                          :: coeffs_kind_max0, log10_eps_schwarz
     662             :       TYPE(cell_type), POINTER                           :: cell
     663             :       REAL(dp), INTENT(IN)                               :: pmax_blocks
     664             :       LOGICAL, DIMENSION(natom, natom), INTENT(IN)       :: atomic_pair_list
     665             :       LOGICAL, INTENT(IN), OPTIONAL                      :: skip_atom_symmetry
     666             : 
     667             :       INTEGER                                            :: iatom, ikind, iset, jatom, jkind, jset, &
     668             :                                                             n_element, nset_ij, nseta, nsetb
     669             :       LOGICAL                                            :: my_skip_atom_symmetry
     670             :       REAL(KIND=dp)                                      :: rab2
     671             :       REAL(KIND=dp), DIMENSION(3)                        :: B11, pbc_B, ra, rb, temp
     672             : 
     673        2994 :       n_element = 0
     674        2994 :       nset_ij = 0
     675             : 
     676        2994 :       my_skip_atom_symmetry = .FALSE.
     677        2994 :       IF (PRESENT(skip_atom_symmetry)) my_skip_atom_symmetry = skip_atom_symmetry
     678             : 
     679        6076 :       DO iatom = i_start, i_end
     680        9454 :          DO jatom = j_start, j_end
     681        3378 :             IF (atomic_pair_list(jatom, iatom) .EQV. .FALSE.) CYCLE
     682             : 
     683        3378 :             ikind = kind_of(iatom)
     684        3378 :             nseta = basis_parameter(ikind)%nset
     685       13512 :             ra = particle_set(iatom)%r(:)
     686             : 
     687        3378 :             IF (jatom < iatom .AND. (.NOT. my_skip_atom_symmetry)) CYCLE
     688        3230 :             jkind = kind_of(jatom)
     689        3230 :             nsetb = basis_parameter(jkind)%nset
     690       12920 :             rb = particle_set(jatom)%r(:)
     691             : 
     692        3230 :             IF (do_periodic) THEN
     693           0 :                temp = rb - ra
     694           0 :                pbc_B = pbc(temp, cell)
     695           0 :                B11 = ra + pbc_B
     696           0 :                rab2 = (ra(1) - B11(1))**2 + (ra(2) - B11(2))**2 + (ra(3) - B11(3))**2
     697             :             ELSE
     698        3230 :                rab2 = (ra(1) - rb(1))**2 + (ra(2) - rb(2))**2 + (ra(3) - rb(3))**2
     699        3230 :                B11 = rb ! ra - rb
     700             :             END IF
     701        3230 :             IF ((coeffs_kind(jkind, ikind)%x(1)*rab2 + &
     702             :                  coeffs_kind(jkind, ikind)%x(2)) + coeffs_kind_max0 + pmax_blocks < log10_eps_schwarz) CYCLE
     703             : 
     704        3230 :             n_element = n_element + 1
     705        9690 :             list%elements(n_element)%pair = (/iatom, jatom/)
     706        9690 :             list%elements(n_element)%kind_pair = (/ikind, jkind/)
     707       12920 :             list%elements(n_element)%r1 = ra
     708       12920 :             list%elements(n_element)%r2 = B11
     709        3230 :             list%elements(n_element)%dist2 = rab2
     710             :             ! build a list of guaranteed overlapping sets
     711        3230 :             list%elements(n_element)%set_bounds(1) = nset_ij + 1
     712       13988 :             DO iset = 1, nseta
     713       52586 :                DO jset = 1, nsetb
     714       38598 :                   IF (coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2 + coeffs_set(jset, iset, jkind, ikind)%x(2) + &
     715             :                       coeffs_kind_max0 + pmax_blocks < log10_eps_schwarz) CYCLE
     716       38526 :                   nset_ij = nset_ij + 1
     717      126408 :                   set_list(nset_ij)%pair = (/iset, jset/)
     718             :                END DO
     719             :             END DO
     720        6460 :             list%elements(n_element)%set_bounds(2) = nset_ij
     721             :          END DO
     722             :       END DO
     723             : 
     724        2994 :       list%n_element = n_element
     725             : 
     726        2994 :    END SUBROUTINE build_pair_list_mp2
     727             : 
     728             : END MODULE hfx_pair_list_methods

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