LCOV - code coverage report
Current view: top level - src - libgrpp_integrals.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:b8e0b09) Lines: 222 278 79.9 %
Date: 2024-08-31 06:31:37 Functions: 4 4 100.0 %

          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 Local and semi-local ECP integrals using the libgrpp library
      10             : ! **************************************************************************************************
      11             : 
      12             : MODULE libgrpp_integrals
      13             :    USE kinds, ONLY: dp
      14             :    USE mathconstants, ONLY: pi
      15             :    USE ai_derivatives, ONLY: dabdr_noscreen, adbdr, dabdr
      16             :    USE orbital_pointers, ONLY: nco, &
      17             :                                ncoset
      18             : #if defined(__LIBGRPP)
      19             :    USE libgrpp, ONLY: libgrpp_init, libgrpp_type1_integrals, libgrpp_type2_integrals, &
      20             :                       libgrpp_type1_integrals_gradient, libgrpp_type2_integrals_gradient
      21             : #endif
      22             : #include "./base/base_uses.f90"
      23             : 
      24             :    IMPLICIT NONE
      25             :    PRIVATE
      26             : 
      27             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'libgrpp_integrals'
      28             : 
      29             :    PUBLIC :: libgrpp_semilocal_integrals, libgrpp_local_integrals, &
      30             :              libgrpp_local_forces_ref, libgrpp_semilocal_forces_ref
      31             : 
      32             : CONTAINS
      33             : 
      34             : ! **************************************************************************************************
      35             : !> \brief Local ECP integrals using libgrpp
      36             : !> \param la_max_set ...
      37             : !> \param la_min_set ...
      38             : !> \param npgfa ...
      39             : !> \param rpgfa ...
      40             : !> \param zeta ...
      41             : !> \param lb_max_set ...
      42             : !> \param lb_min_set ...
      43             : !> \param npgfb ...
      44             : !> \param rpgfb ...
      45             : !> \param zetb ...
      46             : !> \param npot_ecp ...
      47             : !> \param alpha_ecp ...
      48             : !> \param coeffs_ecp ...
      49             : !> \param nrpot_ecp ...
      50             : !> \param rpgfc ...
      51             : !> \param rab ...
      52             : !> \param dab ...
      53             : !> \param rac ...
      54             : !> \param dac ...
      55             : !> \param dbc ...
      56             : !> \param vab ...
      57             : !> \param pab ...
      58             : !> \param force_a ...
      59             : !> \param force_b ...
      60             : ! **************************************************************************************************
      61          96 :    SUBROUTINE libgrpp_local_integrals(la_max_set, la_min_set, npgfa, rpgfa, zeta, &
      62          96 :                                       lb_max_set, lb_min_set, npgfb, rpgfb, zetb, &
      63          96 :                                       npot_ecp, alpha_ecp, coeffs_ecp, nrpot_ecp, &
      64         192 :                                       rpgfc, rab, dab, rac, dac, dbc, vab, pab, force_a, force_b)
      65             : 
      66             :       INTEGER, INTENT(IN)                                :: la_max_set, la_min_set, npgfa
      67             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfa, zeta
      68             :       INTEGER, INTENT(IN)                                :: lb_max_set, lb_min_set, npgfb
      69             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfb, zetb
      70             :       INTEGER, INTENT(IN)                                :: npot_ecp
      71             :       REAL(KIND=dp), DIMENSION(1:npot_ecp), INTENT(IN)   :: alpha_ecp, coeffs_ecp
      72             :       INTEGER, DIMENSION(1:npot_ecp), INTENT(IN)         :: nrpot_ecp
      73             :       REAL(KIND=dp), INTENT(IN)                          :: rpgfc
      74             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rab
      75             :       REAL(KIND=dp), INTENT(IN)                          :: dab
      76             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rac
      77             :       REAL(KIND=dp), INTENT(IN)                          :: dac
      78             :       REAL(KIND=dp), INTENT(IN)                          :: dbc
      79             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: vab
      80             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN), &
      81             :          OPTIONAL                                        :: pab
      82             :       REAL(KIND=dp), DIMENSION(3), INTENT(INOUT), &
      83             :          OPTIONAL                                        :: force_a, force_b
      84             : 
      85             : #if defined(__LIBGRPP)
      86             :       INTEGER                                            :: a_offset, a_start, b_offset, b_start, i, &
      87             :                                                             ipgf, j, jpgf, li, lj, ncoa, ncob
      88             :       LOGICAL                                            :: calc_forces
      89             :       REAL(dp)                                           :: expi, expj, normi, normj, prefi, prefj, &
      90             :                                                             zeti, zetj, mindist, fac_a, fac_b
      91          96 :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: tmp, tmpx, tmpy, tmpz
      92             :       REAL(dp), DIMENSION(3)                             :: ra, rb, rc
      93             : 
      94          96 :       CALL libgrpp_init()
      95             : 
      96          96 :       calc_forces = .FALSE.
      97          96 :       IF (PRESENT(pab) .AND. PRESENT(force_a) .AND. PRESENT(force_b)) calc_forces = .TRUE.
      98             : 
      99             :       IF (calc_forces) THEN
     100             : 
     101             :          !Note: warning against numerical stability of libgrpp gradients. The day the library becomes
     102             :          !      stable, this routine can be used immediatly as is, and the warning removed.
     103             :          CALL cp_warn(__LOCATION__, &
     104             :                       "ECP gradients calculated with the libgrpp library are, to this date, not numerically stable. "// &
     105           0 :                       "Please use the reference routine 'libgrpp_local_forces_ref' instead.")
     106             : 
     107             :          !there is a weird feature of libgrpp gradients, which is such that the gradient is calculated
     108             :          !for a point in space, and not with respect to an atomic center. For example, if atoms A and
     109             :          !B are the same (and C is different), then d<A | U_C | B>/dPx = d<A | U_C | B>/dAx + d<A | U_C | B>/dBx
     110             :          !Because we want the forces on centers A and B seprately, we need a case study on atomic positions
     111             :          !We always calculate the gradient wrt to atomic position of A and B, and we scale accordingly
     112             : 
     113           0 :          mindist = 1.0E-6_dp
     114             :          !If ra != rb != rc
     115           0 :          IF (dab >= mindist .AND. dbc >= mindist .AND. dac >= mindist) THEN
     116             :             fac_a = 1.0_dp
     117             :             fac_b = 1.0_dp
     118             : 
     119             :             !If ra = rb, but ra != rc
     120           0 :          ELSE IF (dab < mindist .AND. dac >= mindist) THEN
     121             :             fac_a = 0.5_dp
     122             :             fac_b = 0.5_dp
     123             : 
     124             :             !IF ra != rb but ra = rc
     125           0 :          ELSE IF (dab >= mindist .AND. dac < mindist) THEN
     126             :             fac_a = 0.5_dp
     127             :             fac_b = 1.0_dp
     128             : 
     129             :             !IF ra != rb but rb = rc
     130           0 :          ELSE IF (dab >= mindist .AND. dbc < mindist) THEN
     131             :             fac_a = 1.0_dp
     132             :             fac_b = 0.5_dp
     133             : 
     134             :             !If all atoms the same --> no force
     135             :          ELSE
     136           0 :             calc_forces = .FALSE.
     137             :          END IF
     138             :       END IF
     139             : 
     140             :       !libgrpp requires absolute positions, not relative ones
     141          96 :       ra(:) = 0.0_dp
     142          96 :       rb(:) = rab(:)
     143          96 :       rc(:) = rac(:)
     144             : 
     145         288 :       ALLOCATE (tmp(nco(la_max_set)*nco(lb_max_set)))
     146          96 :       IF (calc_forces) THEN
     147           0 :          ALLOCATE (tmpx(nco(la_max_set)*nco(lb_max_set)))
     148           0 :          ALLOCATE (tmpy(nco(la_max_set)*nco(lb_max_set)))
     149           0 :          ALLOCATE (tmpz(nco(la_max_set)*nco(lb_max_set)))
     150             :       END IF
     151             : 
     152         384 :       DO ipgf = 1, npgfa
     153         288 :          IF (rpgfa(ipgf) + rpgfc < dac) CYCLE
     154         288 :          zeti = zeta(ipgf)
     155         288 :          a_start = (ipgf - 1)*ncoset(la_max_set)
     156             : 
     157        1248 :          DO jpgf = 1, npgfb
     158         864 :             IF (rpgfb(jpgf) + rpgfc < dbc) CYCLE
     159         864 :             IF (rpgfa(ipgf) + rpgfb(jpgf) < dab) CYCLE
     160         864 :             zetj = zetb(jpgf)
     161         864 :             b_start = (jpgf - 1)*ncoset(lb_max_set)
     162             : 
     163        2016 :             DO li = la_min_set, la_max_set
     164         864 :                a_offset = a_start + ncoset(li - 1)
     165         864 :                ncoa = nco(li)
     166         864 :                prefi = 2.0_dp**li*(2.0_dp/pi)**0.75_dp
     167         864 :                expi = 0.25_dp*REAL(2*li + 3, dp)
     168         864 :                normi = 1.0_dp/(prefi*zeti**expi)
     169             : 
     170        2592 :                DO lj = lb_min_set, lb_max_set
     171         864 :                   b_offset = b_start + ncoset(lj - 1)
     172         864 :                   ncob = nco(lj)
     173         864 :                   prefj = 2.0_dp**lj*(2.0_dp/pi)**0.75_dp
     174         864 :                   expj = 0.25_dp*REAL(2*lj + 3, dp)
     175         864 :                   normj = 1.0_dp/(prefj*zetj**expj)
     176             : 
     177        4320 :                   tmp(1:ncoa*ncob) = 0.0_dp
     178             :                   !libgrpp implicitely normalizes cartesian Gaussian. In CP2K, we do not, hence
     179             :                   !the 1/norm coefficients for PGFi and PGFj
     180             :                   CALL libgrpp_type1_integrals(ra, li, 1, [normi], [zeti], &
     181             :                                                rb, lj, 1, [normj], [zetj], &
     182             :                                                rc, [npot_ecp], nrpot_ecp, &
     183        5184 :                                                coeffs_ecp, alpha_ecp, tmp)
     184             : 
     185             :                   !note: tmp array is in C row-major ordering
     186        2592 :                   DO j = 1, ncob
     187        6048 :                      DO i = 1, ncoa
     188        5184 :                         vab(a_offset + i, b_offset + j) = vab(a_offset + i, b_offset + j) + tmp((i - 1)*ncob + j)
     189             :                      END DO
     190             :                   END DO
     191             : 
     192        1728 :                   IF (calc_forces) THEN
     193           0 :                      tmpx(1:ncoa*ncob) = 0.0_dp
     194           0 :                      tmpy(1:ncoa*ncob) = 0.0_dp
     195           0 :                      tmpz(1:ncoa*ncob) = 0.0_dp
     196             : 
     197             :                      !force wrt to atomic position A
     198             :                      CALL libgrpp_type1_integrals_gradient(ra, li, 1, [normi], [zeti], &
     199             :                                                            rb, lj, 1, [normj], [zetj], &
     200             :                                                            rc, [npot_ecp], nrpot_ecp, &
     201             :                                                            coeffs_ecp, alpha_ecp, ra, &
     202           0 :                                                            tmpx, tmpy, tmpz)
     203             : 
     204             :                      !note: tmp array is in C row-major ordering
     205             :                      !note: zero-gradients sometime comes out as NaN, hence tampval==tmpval check
     206           0 :                      DO j = 1, ncob
     207           0 :                         DO i = 1, ncoa
     208           0 :                            force_a(1) = force_a(1) + fac_a*pab(a_offset + i, b_offset + j)*tmpx((i - 1)*ncob + j)
     209           0 :                            force_a(2) = force_a(2) + fac_a*pab(a_offset + i, b_offset + j)*tmpy((i - 1)*ncob + j)
     210           0 :                            force_a(3) = force_a(3) + fac_a*pab(a_offset + i, b_offset + j)*tmpz((i - 1)*ncob + j)
     211             :                         END DO
     212             :                      END DO
     213             : 
     214           0 :                      tmpx(1:ncoa*ncob) = 0.0_dp
     215           0 :                      tmpy(1:ncoa*ncob) = 0.0_dp
     216           0 :                      tmpz(1:ncoa*ncob) = 0.0_dp
     217             : 
     218             :                      !force wrt to atomic position B
     219             :                      CALL libgrpp_type1_integrals_gradient(ra, li, 1, [normi], [zeti], &
     220             :                                                            rb, lj, 1, [normj], [zetj], &
     221             :                                                            rc, [npot_ecp], nrpot_ecp, &
     222             :                                                            coeffs_ecp, alpha_ecp, rb, &
     223           0 :                                                            tmpx, tmpy, tmpz)
     224             : 
     225             :                      !note: tmp array is in C row-major ordering
     226             :                      !note: zero-gradients sometime comes out as NaN, hence tampval==tmpval check
     227           0 :                      DO j = 1, ncob
     228           0 :                         DO i = 1, ncoa
     229           0 :                            force_b(1) = force_b(1) + fac_b*pab(a_offset + i, b_offset + j)*tmpx((i - 1)*ncob + j)
     230           0 :                            force_b(2) = force_b(2) + fac_b*pab(a_offset + i, b_offset + j)*tmpy((i - 1)*ncob + j)
     231           0 :                            force_b(3) = force_b(3) + fac_b*pab(a_offset + i, b_offset + j)*tmpz((i - 1)*ncob + j)
     232             :                         END DO
     233             :                      END DO
     234             :                   END IF
     235             : 
     236             :                END DO !lj
     237             :             END DO !li
     238             : 
     239             :          END DO !jpgf
     240             :       END DO !ipgf
     241             : #else
     242             : 
     243             :       MARK_USED(la_max_set)
     244             :       MARK_USED(la_min_set)
     245             :       MARK_USED(npgfa)
     246             :       MARK_USED(rpgfa)
     247             :       MARK_USED(zeta)
     248             :       MARK_USED(lb_max_set)
     249             :       MARK_USED(lb_min_set)
     250             :       MARK_USED(npgfb)
     251             :       MARK_USED(rpgfb)
     252             :       MARK_USED(zetb)
     253             :       MARK_USED(npot_ecp)
     254             :       MARK_USED(alpha_ecp)
     255             :       MARK_USED(coeffs_ecp)
     256             :       MARK_USED(nrpot_ecp)
     257             :       MARK_USED(rpgfc)
     258             :       MARK_USED(rab)
     259             :       MARK_USED(dab)
     260             :       MARK_USED(rac)
     261             :       MARK_USED(dac)
     262             :       MARK_USED(dbc)
     263             :       MARK_USED(vab)
     264             :       MARK_USED(pab)
     265             :       MARK_USED(force_a)
     266             :       MARK_USED(force_b)
     267             : 
     268             :       CPABORT("Please compile CP2K with libgrpp support for calculations with ECPs")
     269             : #endif
     270             : 
     271          96 :    END SUBROUTINE libgrpp_local_integrals
     272             : 
     273             : ! **************************************************************************************************
     274             : !> \brief Semi-local ECP integrals using libgrpp.
     275             : !> \param la_max_set ...
     276             : !> \param la_min_set ...
     277             : !> \param npgfa ...
     278             : !> \param rpgfa ...
     279             : !> \param zeta ...
     280             : !> \param lb_max_set ...
     281             : !> \param lb_min_set ...
     282             : !> \param npgfb ...
     283             : !> \param rpgfb ...
     284             : !> \param zetb ...
     285             : !> \param lmax_ecp ...
     286             : !> \param npot_ecp ...
     287             : !> \param alpha_ecp ...
     288             : !> \param coeffs_ecp ...
     289             : !> \param nrpot_ecp ...
     290             : !> \param rpgfc ...
     291             : !> \param rab ...
     292             : !> \param dab ...
     293             : !> \param rac ...
     294             : !> \param dac ...
     295             : !> \param dbc ...
     296             : !> \param vab ...
     297             : !> \param pab ...
     298             : !> \param force_a ...
     299             : !> \param force_b ...
     300             : ! **************************************************************************************************
     301        9368 :    SUBROUTINE libgrpp_semilocal_integrals(la_max_set, la_min_set, npgfa, rpgfa, zeta, &
     302        9368 :                                           lb_max_set, lb_min_set, npgfb, rpgfb, zetb, &
     303             :                                           lmax_ecp, npot_ecp, alpha_ecp, coeffs_ecp, nrpot_ecp, &
     304       18736 :                                           rpgfc, rab, dab, rac, dac, dbc, vab, pab, force_a, force_b)
     305             : 
     306             :       INTEGER, INTENT(IN)                                :: la_max_set, la_min_set, npgfa
     307             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfa, zeta
     308             :       INTEGER, INTENT(IN)                                :: lb_max_set, lb_min_set, npgfb
     309             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfb, zetb
     310             :       INTEGER, INTENT(IN)                                :: lmax_ecp
     311             :       INTEGER, DIMENSION(0:10), INTENT(IN)               :: npot_ecp
     312             :       REAL(KIND=dp), DIMENSION(1:15, 0:10), INTENT(IN)   :: alpha_ecp, coeffs_ecp
     313             :       INTEGER, DIMENSION(1:15, 0:10), INTENT(IN)         :: nrpot_ecp
     314             :       REAL(KIND=dp), INTENT(IN)                          :: rpgfc
     315             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rab
     316             :       REAL(KIND=dp), INTENT(IN)                          :: dab
     317             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rac
     318             :       REAL(KIND=dp), INTENT(IN)                          :: dac
     319             :       REAL(KIND=dp), INTENT(IN)                          :: dbc
     320             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: vab
     321             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN), &
     322             :          OPTIONAL                                        :: pab
     323             :       REAL(KIND=dp), DIMENSION(3), INTENT(INOUT), &
     324             :          OPTIONAL                                        :: force_a, force_b
     325             : 
     326             : #if defined(__LIBGRPP)
     327             :       INTEGER                                            :: a_offset, a_start, b_offset, b_start, i, &
     328             :                                                             ipgf, j, jpgf, li, lj, lk, ncoa, ncob
     329             :       LOGICAL                                            :: calc_forces
     330             :       REAL(dp)                                           :: expi, expj, normi, normj, prefi, prefj, &
     331             :                                                             zeti, zetj, mindist, fac_a, fac_b
     332        9368 :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: tmp, tmpx, tmpz, tmpy
     333             :       REAL(dp), DIMENSION(3)                             :: ra, rb, rc
     334             : 
     335        9368 :       CALL libgrpp_init()
     336             : 
     337        9368 :       calc_forces = .FALSE.
     338        9368 :       IF (PRESENT(pab) .AND. PRESENT(force_a) .AND. PRESENT(force_b)) calc_forces = .TRUE.
     339             : 
     340             :       IF (calc_forces) THEN
     341             : 
     342             :          !Note: warning against numerical stability of libgrpp gradients. The day the library becomes
     343             :          !      stable, this routine can be used immediatly as is, and the warning removed.
     344             :          CALL cp_warn(__LOCATION__, &
     345             :                       "ECP gradients calculated with the libgrpp library are, to this date, not numerically stable. "// &
     346           0 :                       "Please use the reference routine 'libgrpp_semilocal_forces_ref' instead.")
     347             : 
     348             :          !there is a weird feature of libgrpp gradients, which is such that the gradient is calculated
     349             :          !for a point in space, and not with respect to an atomic center. For example, if atoms A and
     350             :          !B are the same (and C is different), then d<A | U_C | B>/dPx = d<A | U_C | B>/dAx + d<A | U_C | B>/dBx
     351             :          !Because we want the forces on centers A and B seprately, we need a case study on atomic positions
     352             :          !We always calculate the gradient wrt to atomic position of A and B, and we scale accordingly
     353             : 
     354           0 :          mindist = 1.0E-6_dp
     355             :          !If ra != rb != rc
     356           0 :          IF (dab >= mindist .AND. dbc >= mindist .AND. dac >= mindist) THEN
     357             :             fac_a = 1.0_dp
     358             :             fac_b = 1.0_dp
     359             : 
     360             :             !If ra = rb, but ra != rc
     361           0 :          ELSE IF (dab < mindist .AND. dac >= mindist) THEN
     362             :             fac_a = 0.5_dp
     363             :             fac_b = 0.5_dp
     364             : 
     365             :             !IF ra != rb but ra = rc
     366           0 :          ELSE IF (dab >= mindist .AND. dac < mindist) THEN
     367             :             fac_a = 0.5_dp
     368             :             fac_b = 1.0_dp
     369             : 
     370             :             !IF ra != rb but rb = rc
     371           0 :          ELSE IF (dab >= mindist .AND. dbc < mindist) THEN
     372             :             fac_a = 1.0_dp
     373             :             fac_b = 0.5_dp
     374             : 
     375             :             !If all atoms the same --> no force
     376             :          ELSE
     377           0 :             calc_forces = .FALSE.
     378             :          END IF
     379             :       END IF
     380             : 
     381             :       !libgrpp requires absolute positions, not relative ones
     382        9368 :       ra(:) = 0.0_dp
     383        9368 :       rb(:) = rab(:)
     384        9368 :       rc(:) = rac(:)
     385             : 
     386       28104 :       ALLOCATE (tmp(nco(la_max_set)*nco(lb_max_set)))
     387        9368 :       IF (calc_forces) THEN
     388           0 :          ALLOCATE (tmpx(nco(la_max_set)*nco(lb_max_set)))
     389           0 :          ALLOCATE (tmpy(nco(la_max_set)*nco(lb_max_set)))
     390           0 :          ALLOCATE (tmpz(nco(la_max_set)*nco(lb_max_set)))
     391             :       END IF
     392             : 
     393       22865 :       DO ipgf = 1, npgfa
     394       13497 :          IF (rpgfa(ipgf) + rpgfc < dac) CYCLE
     395       11075 :          zeti = zeta(ipgf)
     396       11075 :          a_start = (ipgf - 1)*ncoset(la_max_set)
     397             : 
     398       37277 :          DO jpgf = 1, npgfb
     399       16834 :             IF (rpgfb(jpgf) + rpgfc < dbc) CYCLE
     400       14100 :             IF (rpgfa(ipgf) + rpgfb(jpgf) < dab) CYCLE
     401       13188 :             zetj = zetb(jpgf)
     402       13188 :             b_start = (jpgf - 1)*ncoset(lb_max_set)
     403             : 
     404       39873 :             DO li = la_min_set, la_max_set
     405       13188 :                a_offset = a_start + ncoset(li - 1)
     406       13188 :                ncoa = nco(li)
     407       13188 :                prefi = 2.0_dp**li*(2.0_dp/pi)**0.75_dp
     408       13188 :                expi = 0.25_dp*REAL(2*li + 3, dp)
     409       13188 :                normi = 1.0_dp/(prefi*zeti**expi)
     410             : 
     411       43210 :                DO lj = lb_min_set, lb_max_set
     412       13188 :                   b_offset = b_start + ncoset(lj - 1)
     413       13188 :                   ncob = nco(lj)
     414       13188 :                   prefj = 2.0_dp**lj*(2.0_dp/pi)**0.75_dp
     415       13188 :                   expj = 0.25_dp*REAL(2*lj + 3, dp)
     416       13188 :                   normj = 1.0_dp/(prefj*zetj**expj)
     417             : 
     418             :                   !Loop over ECP angular momentum
     419       84268 :                   DO lk = 0, lmax_ecp
     420      500450 :                      tmp(1:ncoa*ncob) = 0.0_dp
     421             :                      !libgrpp implicitely normalizes cartesian Gaussian. In CP2K, we do not, hence
     422             :                      !the 1/norm coefficients for PGFi and PGFj
     423             :                      CALL libgrpp_type2_integrals(ra, li, 1, [normi], [zeti], &
     424             :                                                   rb, lj, 1, [normj], [zetj], &
     425             :                                                   rc, lk, [npot_ecp(lk)], nrpot_ecp(:, lk), &
     426      347352 :                                                   coeffs_ecp(:, lk), alpha_ecp(:, lk), tmp)
     427             : 
     428             :                      !note: tmp array is in C row-major ordering
     429      218184 :                      DO j = 1, ncob
     430      660742 :                         DO i = 1, ncoa
     431      602850 :                            vab(a_offset + i, b_offset + j) = vab(a_offset + i, b_offset + j) + tmp((i - 1)*ncob + j)
     432             :                         END DO
     433             :                      END DO
     434             : 
     435       71080 :                      IF (calc_forces) THEN
     436             : 
     437           0 :                         tmpx(1:ncoa*ncob) = 0.0_dp
     438           0 :                         tmpy(1:ncoa*ncob) = 0.0_dp
     439           0 :                         tmpz(1:ncoa*ncob) = 0.0_dp
     440             : 
     441             :                         !force wrt to atomic position A
     442             :                         CALL libgrpp_type2_integrals_gradient(ra, li, 1, [normi], [zeti], &
     443             :                                                               rb, lj, 1, [normj], [zetj], &
     444             :                                                               rc, lk, [npot_ecp(lk)], nrpot_ecp(:, lk), &
     445             :                                                               coeffs_ecp(:, lk), alpha_ecp(:, lk), ra, &
     446           0 :                                                               tmpx, tmpy, tmpz)
     447             : 
     448             :                         !note: tmp array is in C row-major ordering
     449             :                         !note: zero-gradients sometime comes out as NaN, hence tampval==tmpval check
     450           0 :                         DO j = 1, ncob
     451           0 :                            DO i = 1, ncoa
     452           0 :                               force_a(1) = force_a(1) + fac_a*pab(a_offset + i, b_offset + j)*tmpx((i - 1)*ncob + j)
     453           0 :                               force_a(2) = force_a(2) + fac_a*pab(a_offset + i, b_offset + j)*tmpy((i - 1)*ncob + j)
     454           0 :                               force_a(3) = force_a(3) + fac_a*pab(a_offset + i, b_offset + j)*tmpz((i - 1)*ncob + j)
     455             :                            END DO
     456             :                         END DO
     457             : 
     458           0 :                         tmpx(1:ncoa*ncob) = 0.0_dp
     459           0 :                         tmpy(1:ncoa*ncob) = 0.0_dp
     460           0 :                         tmpz(1:ncoa*ncob) = 0.0_dp
     461             : 
     462             :                         !force wrt to atomic position B
     463             :                         CALL libgrpp_type2_integrals_gradient(ra, li, 1, [normi], [zeti], &
     464             :                                                               rb, lj, 1, [normj], [zetj], &
     465             :                                                               rc, lk, [npot_ecp(lk)], nrpot_ecp(:, lk), &
     466             :                                                               coeffs_ecp(:, lk), alpha_ecp(:, lk), rb, &
     467           0 :                                                               tmpx, tmpy, tmpz)
     468             :                         !note: tmp array is in C row-major ordering
     469             :                         !note: zero-gradients sometime comes out as NaN, hence tampval==tmpval check
     470           0 :                         DO j = 1, ncob
     471           0 :                            DO i = 1, ncoa
     472           0 :                               force_b(1) = force_b(1) + fac_b*pab(a_offset + i, b_offset + j)*tmpx((i - 1)*ncob + j)
     473           0 :                               force_b(2) = force_b(2) + fac_b*pab(a_offset + i, b_offset + j)*tmpy((i - 1)*ncob + j)
     474           0 :                               force_b(3) = force_b(3) + fac_b*pab(a_offset + i, b_offset + j)*tmpz((i - 1)*ncob + j)
     475             :                            END DO
     476             :                         END DO
     477             : 
     478             :                      END IF !calc_forces
     479             : 
     480             :                   END DO !lk
     481             : 
     482             :                END DO !lj
     483             :             END DO !li
     484             : 
     485             :          END DO !jpgf
     486             :       END DO !ipgf
     487             : 
     488             : #else
     489             : 
     490             :       MARK_USED(la_max_set)
     491             :       MARK_USED(la_min_set)
     492             :       MARK_USED(npgfa)
     493             :       MARK_USED(rpgfa)
     494             :       MARK_USED(zeta)
     495             :       MARK_USED(lb_max_set)
     496             :       MARK_USED(lb_min_set)
     497             :       MARK_USED(npgfb)
     498             :       MARK_USED(rpgfb)
     499             :       MARK_USED(zetb)
     500             :       MARK_USED(lmax_ecp)
     501             :       MARK_USED(npot_ecp)
     502             :       MARK_USED(alpha_ecp)
     503             :       MARK_USED(coeffs_ecp)
     504             :       MARK_USED(nrpot_ecp)
     505             :       MARK_USED(rpgfc)
     506             :       MARK_USED(rab)
     507             :       MARK_USED(dab)
     508             :       MARK_USED(rac)
     509             :       MARK_USED(dac)
     510             :       MARK_USED(dbc)
     511             :       MARK_USED(vab)
     512             :       MARK_USED(pab)
     513             :       MARK_USED(force_a)
     514             :       MARK_USED(force_b)
     515             : 
     516             :       CPABORT("Please compile CP2K with libgrpp support for calculations with ECPs")
     517             : #endif
     518             : 
     519        9368 :    END SUBROUTINE libgrpp_semilocal_integrals
     520             : 
     521             : ! **************************************************************************************************
     522             : !> \brief Reference local ECP force routine using l+-1 integrals. No call is made to the numerically
     523             : !>        unstable gradient routine of libgrpp. Calculates both the integrals and the forces.
     524             : !> \param la_max_set ...
     525             : !> \param la_min_set ...
     526             : !> \param npgfa ...
     527             : !> \param rpgfa ...
     528             : !> \param zeta ...
     529             : !> \param lb_max_set ...
     530             : !> \param lb_min_set ...
     531             : !> \param npgfb ...
     532             : !> \param rpgfb ...
     533             : !> \param zetb ...
     534             : !> \param npot_ecp ...
     535             : !> \param alpha_ecp ...
     536             : !> \param coeffs_ecp ...
     537             : !> \param nrpot_ecp ...
     538             : !> \param rpgfc ...
     539             : !> \param rab ...
     540             : !> \param dab ...
     541             : !> \param rac ...
     542             : !> \param dac ...
     543             : !> \param dbc ...
     544             : !> \param vab ...
     545             : !> \param pab ...
     546             : !> \param force_a ...
     547             : !> \param force_b ...
     548             : !> \note: this is a reference routine, which has no reason to be used once the libgrpp gradients
     549             : !>        become numerically stable
     550             : ! **************************************************************************************************
     551          24 :    SUBROUTINE libgrpp_local_forces_ref(la_max_set, la_min_set, npgfa, rpgfa, zeta, &
     552          24 :                                        lb_max_set, lb_min_set, npgfb, rpgfb, zetb, &
     553          24 :                                        npot_ecp, alpha_ecp, coeffs_ecp, nrpot_ecp, &
     554          24 :                                        rpgfc, rab, dab, rac, dac, dbc, vab, pab, force_a, force_b)
     555             : 
     556             :       INTEGER, INTENT(IN)                                :: la_max_set, la_min_set, npgfa
     557             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfa, zeta
     558             :       INTEGER, INTENT(IN)                                :: lb_max_set, lb_min_set, npgfb
     559             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfb, zetb
     560             :       INTEGER, INTENT(IN)                                :: npot_ecp
     561             :       REAL(KIND=dp), DIMENSION(1:npot_ecp), INTENT(IN)   :: alpha_ecp, coeffs_ecp
     562             :       INTEGER, DIMENSION(1:npot_ecp), INTENT(IN)         :: nrpot_ecp
     563             :       REAL(KIND=dp), INTENT(IN)                          :: rpgfc
     564             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rab
     565             :       REAL(KIND=dp), INTENT(IN)                          :: dab
     566             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rac
     567             :       REAL(KIND=dp), INTENT(IN)                          :: dac
     568             :       REAL(KIND=dp), INTENT(IN)                          :: dbc
     569             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: vab
     570             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: pab
     571             :       REAL(KIND=dp), DIMENSION(3), INTENT(INOUT)         :: force_a, force_b
     572             : 
     573             : #if defined(__LIBGRPP)
     574             :       INTEGER                                            :: a_offset, a_start, b_offset, b_start, i, &
     575             :                                                             ipgf, j, jpgf, li, lj, ncoa, ncob, a_offset_f, &
     576             :                                                             b_offset_f, a_start_f, b_start_f
     577             :       REAL(dp)                                           :: expi, expj, normi, normj, prefi, prefj, &
     578             :                                                             zeti, zetj
     579          24 :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: tmp
     580          24 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: vab_f, tmpx, tmpy, tmpz
     581             :       REAL(dp), DIMENSION(3)                             :: ra, rb, rc
     582             : 
     583          24 :       CALL libgrpp_init()
     584             : 
     585             :       !Contains the integrals necessary for the forces, with angular momenta from lmin-1 to lmax+1
     586          96 :       ALLOCATE (vab_f(npgfa*ncoset(la_max_set + 1), npgfb*ncoset(lb_max_set + 1)))
     587       11112 :       vab_f(:, :) = 0.0_dp
     588             : 
     589             :       !libgrpp requires absolute positions, not relative ones
     590          24 :       ra(:) = 0.0_dp
     591          24 :       rb(:) = rab(:)
     592          24 :       rc(:) = rac(:)
     593             : 
     594          72 :       ALLOCATE (tmp(nco(la_max_set + 1)*nco(lb_max_set + 1)))
     595             : 
     596          96 :       DO ipgf = 1, npgfa
     597          72 :          IF (rpgfa(ipgf) + rpgfc < dac) CYCLE
     598          72 :          zeti = zeta(ipgf)
     599          72 :          a_start = (ipgf - 1)*ncoset(la_max_set)
     600          72 :          a_start_f = (ipgf - 1)*ncoset(la_max_set + 1)
     601             : 
     602         312 :          DO jpgf = 1, npgfb
     603         216 :             IF (rpgfb(jpgf) + rpgfc < dbc) CYCLE
     604         216 :             IF (rpgfa(ipgf) + rpgfb(jpgf) < dab) CYCLE
     605         216 :             zetj = zetb(jpgf)
     606         216 :             b_start = (jpgf - 1)*ncoset(lb_max_set)
     607         216 :             b_start_f = (jpgf - 1)*ncoset(lb_max_set + 1)
     608             : 
     609         828 :             DO li = MAX(0, la_min_set - 1), la_max_set + 1
     610         540 :                a_offset = a_start + ncoset(li - 1)
     611         540 :                a_offset_f = a_start_f + ncoset(li - 1)
     612         540 :                ncoa = nco(li)
     613         540 :                prefi = 2.0_dp**li*(2.0_dp/pi)**0.75_dp
     614         540 :                expi = 0.25_dp*REAL(2*li + 3, dp)
     615         540 :                normi = 1.0_dp/(prefi*zeti**expi)
     616             : 
     617        2106 :                DO lj = MAX(0, lb_min_set - 1), lb_max_set + 1
     618        1350 :                   b_offset = b_start + ncoset(lj - 1)
     619        1350 :                   b_offset_f = b_start_f + ncoset(lj - 1)
     620        1350 :                   ncob = nco(lj)
     621        1350 :                   prefj = 2.0_dp**lj*(2.0_dp/pi)**0.75_dp
     622        1350 :                   expj = 0.25_dp*REAL(2*lj + 3, dp)
     623        1350 :                   normj = 1.0_dp/(prefj*zetj**expj)
     624             : 
     625       11934 :                   tmp(1:ncoa*ncob) = 0.0_dp
     626             :                   !libgrpp implicitely normalizes cartesian Gaussian. In CP2K, we do not, hence
     627             :                   !the 1/norm coefficients for PGFi and PGFj
     628             :                   CALL libgrpp_type1_integrals(ra, li, 1, [normi], [zeti], &
     629             :                                                rb, lj, 1, [normj], [zetj], &
     630             :                                                rc, [npot_ecp], nrpot_ecp, &
     631        8100 :                                                coeffs_ecp, alpha_ecp, tmp)
     632             : 
     633             :                   !the l+-1 integrals for gradient calculation
     634        5130 :                   DO j = 1, ncob
     635       15714 :                      DO i = 1, ncoa
     636             :                         vab_f(a_offset_f + i, b_offset_f + j) = &
     637       14364 :                            vab_f(a_offset_f + i, b_offset_f + j) + tmp((i - 1)*ncob + j)
     638             :                      END DO
     639             :                   END DO
     640             : 
     641             :                   !the actual integrals
     642        1890 :                   IF (li >= la_min_set .AND. li <= la_max_set .AND. lj >= lb_min_set .AND. lj <= lb_max_set) THEN
     643         648 :                      DO j = 1, ncob
     644        1512 :                         DO i = 1, ncoa
     645        1296 :                            vab(a_offset + i, b_offset + j) = vab(a_offset + i, b_offset + j) + tmp((i - 1)*ncob + j)
     646             :                         END DO
     647             :                      END DO
     648             :                   END IF
     649             : 
     650             :                END DO !lj
     651             :             END DO !li
     652             : 
     653             :          END DO !jpgf
     654             :       END DO !ipgf
     655             : 
     656          96 :       ALLOCATE (tmpx(npgfa*ncoset(la_max_set), npgfb*ncoset(lb_max_set)))
     657          72 :       ALLOCATE (tmpy(npgfa*ncoset(la_max_set), npgfb*ncoset(lb_max_set)))
     658          72 :       ALLOCATE (tmpz(npgfa*ncoset(la_max_set), npgfb*ncoset(lb_max_set)))
     659             : 
     660             :       !Derivative wrt to center A
     661        1554 :       tmpx(:, :) = 0.0_dp
     662        1554 :       tmpy(:, :) = 0.0_dp
     663        1554 :       tmpz(:, :) = 0.0_dp
     664             :       CALL dabdr(la_max_set, npgfa, zeta, rpgfa, la_min_set, lb_max_set, npgfb, rpgfb, lb_min_set, &
     665          24 :                  dab, vab_f, tmpx, tmpy, tmpz)
     666         204 :       DO j = 1, npgfb*ncoset(lb_max_set)
     667        1554 :          DO i = 1, npgfa*ncoset(la_max_set)
     668        1350 :             force_a(1) = force_a(1) + tmpx(i, j)*pab(i, j)
     669        1350 :             force_a(2) = force_a(2) + tmpy(i, j)*pab(i, j)
     670        1530 :             force_a(3) = force_a(3) + tmpz(i, j)*pab(i, j)
     671             :          END DO
     672             :       END DO
     673             : 
     674             :       !Derivative wrt to center B
     675        1554 :       tmpx(:, :) = 0.0_dp
     676        1554 :       tmpy(:, :) = 0.0_dp
     677        1554 :       tmpz(:, :) = 0.0_dp
     678             :       CALL adbdr(la_max_set, npgfa, rpgfa, la_min_set, lb_max_set, npgfb, zetb, rpgfb, lb_min_set, &
     679          24 :                  dab, vab_f, tmpx, tmpy, tmpz)
     680         204 :       DO j = 1, npgfb*ncoset(lb_max_set)
     681        1554 :          DO i = 1, npgfa*ncoset(la_max_set)
     682        1350 :             force_b(1) = force_b(1) + tmpx(i, j)*pab(i, j)
     683        1350 :             force_b(2) = force_b(2) + tmpy(i, j)*pab(i, j)
     684        1530 :             force_b(3) = force_b(3) + tmpz(i, j)*pab(i, j)
     685             :          END DO
     686             :       END DO
     687          24 :       DEALLOCATE (tmpx, tmpy, tmpz)
     688             : 
     689             : #else
     690             : 
     691             :       MARK_USED(la_max_set)
     692             :       MARK_USED(la_min_set)
     693             :       MARK_USED(npgfa)
     694             :       MARK_USED(rpgfa)
     695             :       MARK_USED(zeta)
     696             :       MARK_USED(lb_max_set)
     697             :       MARK_USED(lb_min_set)
     698             :       MARK_USED(npgfb)
     699             :       MARK_USED(rpgfb)
     700             :       MARK_USED(zetb)
     701             :       MARK_USED(npot_ecp)
     702             :       MARK_USED(alpha_ecp)
     703             :       MARK_USED(coeffs_ecp)
     704             :       MARK_USED(nrpot_ecp)
     705             :       MARK_USED(rpgfc)
     706             :       MARK_USED(rab)
     707             :       MARK_USED(dab)
     708             :       MARK_USED(rac)
     709             :       MARK_USED(dac)
     710             :       MARK_USED(dbc)
     711             :       MARK_USED(pab)
     712             :       MARK_USED(vab)
     713             :       MARK_USED(force_a)
     714             :       MARK_USED(force_b)
     715             : 
     716             :       CPABORT("Please compile CP2K with libgrpp support for calculations with ECPs")
     717             : #endif
     718             : 
     719          24 :    END SUBROUTINE libgrpp_local_forces_ref
     720             : 
     721             : ! **************************************************************************************************
     722             : !> \brief Reference semi-local ECP forces using l+-1 integrals. No call is made to the numerically
     723             : !>        unstable gradient routine of libgrpp. Calculates both the integrals and the forces.
     724             : !> \param la_max_set ...
     725             : !> \param la_min_set ...
     726             : !> \param npgfa ...
     727             : !> \param rpgfa ...
     728             : !> \param zeta ...
     729             : !> \param lb_max_set ...
     730             : !> \param lb_min_set ...
     731             : !> \param npgfb ...
     732             : !> \param rpgfb ...
     733             : !> \param zetb ...
     734             : !> \param lmax_ecp ...
     735             : !> \param npot_ecp ...
     736             : !> \param alpha_ecp ...
     737             : !> \param coeffs_ecp ...
     738             : !> \param nrpot_ecp ...
     739             : !> \param rpgfc ...
     740             : !> \param rab ...
     741             : !> \param dab ...
     742             : !> \param rac ...
     743             : !> \param dac ...
     744             : !> \param dbc ...
     745             : !> \param vab ...
     746             : !> \param pab ...
     747             : !> \param force_a ...
     748             : !> \param force_b ...
     749             : !> \note: this is a reference routine, which has no reason to be used once the libgrpp gradients
     750             : !>        become numerically stable
     751             : ! **************************************************************************************************
     752        2874 :    SUBROUTINE libgrpp_semilocal_forces_ref(la_max_set, la_min_set, npgfa, rpgfa, zeta, &
     753        2874 :                                            lb_max_set, lb_min_set, npgfb, rpgfb, zetb, &
     754             :                                            lmax_ecp, npot_ecp, alpha_ecp, coeffs_ecp, nrpot_ecp, &
     755        2874 :                                            rpgfc, rab, dab, rac, dac, dbc, vab, pab, force_a, force_b)
     756             : 
     757             :       INTEGER, INTENT(IN)                                :: la_max_set, la_min_set, npgfa
     758             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfa, zeta
     759             :       INTEGER, INTENT(IN)                                :: lb_max_set, lb_min_set, npgfb
     760             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: rpgfb, zetb
     761             :       INTEGER, INTENT(IN)                                :: lmax_ecp
     762             :       INTEGER, DIMENSION(0:10), INTENT(IN)               :: npot_ecp
     763             :       REAL(KIND=dp), DIMENSION(1:15, 0:10), INTENT(IN)   :: alpha_ecp, coeffs_ecp
     764             :       INTEGER, DIMENSION(1:15, 0:10), INTENT(IN)         :: nrpot_ecp
     765             :       REAL(KIND=dp), INTENT(IN)                          :: rpgfc
     766             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rab
     767             :       REAL(KIND=dp), INTENT(IN)                          :: dab
     768             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rac
     769             :       REAL(KIND=dp), INTENT(IN)                          :: dac
     770             :       REAL(KIND=dp), INTENT(IN)                          :: dbc
     771             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: vab
     772             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: pab
     773             :       REAL(KIND=dp), DIMENSION(3), INTENT(INOUT)         :: force_a, force_b
     774             : 
     775             : #if defined(__LIBGRPP)
     776             :       INTEGER                                            :: a_offset, a_start, b_offset, b_start, i, &
     777             :                                                             ipgf, j, jpgf, li, lj, lk, ncoa, ncob, &
     778             :                                                             a_start_f, b_start_f, a_offset_f, b_offset_f
     779             :       REAL(dp)                                           :: expi, expj, normi, normj, prefi, prefj, &
     780             :                                                             zeti, zetj
     781        2874 :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: tmp
     782        2874 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: vab_f, tmpx, tmpy, tmpz
     783             :       REAL(dp), DIMENSION(3)                             :: ra, rb, rc
     784             : 
     785        2874 :       CALL libgrpp_init()
     786             : 
     787             :       !Contains the integrals necessary for the forces, with angular momenta from lmin-1 to lmax+1
     788       11496 :       ALLOCATE (vab_f(npgfa*ncoset(la_max_set + 1), npgfb*ncoset(lb_max_set + 1)))
     789      576650 :       vab_f(:, :) = 0.0_dp
     790             : 
     791             :       !libgrpp requires absolute positions, not relative ones
     792        2874 :       ra(:) = 0.0_dp
     793        2874 :       rb(:) = rab(:)
     794        2874 :       rc(:) = rac(:)
     795             : 
     796        8622 :       ALLOCATE (tmp(nco(la_max_set + 1)*nco(lb_max_set + 1)))
     797             : 
     798        7384 :       DO ipgf = 1, npgfa
     799        4510 :          IF (rpgfa(ipgf) + rpgfc < dac) CYCLE
     800        3728 :          zeti = zeta(ipgf)
     801        3728 :          a_start = (ipgf - 1)*ncoset(la_max_set)
     802        3728 :          a_start_f = (ipgf - 1)*ncoset(la_max_set + 1)
     803             : 
     804       12826 :          DO jpgf = 1, npgfb
     805        6224 :             IF (rpgfb(jpgf) + rpgfc < dbc) CYCLE
     806        5290 :             IF (rpgfa(ipgf) + rpgfb(jpgf) < dab) CYCLE
     807        4817 :             zetj = zetb(jpgf)
     808        4817 :             b_start = (jpgf - 1)*ncoset(lb_max_set)
     809        4817 :             b_start_f = (jpgf - 1)*ncoset(lb_max_set + 1)
     810             : 
     811       21639 :             DO li = MAX(0, la_min_set - 1), la_max_set + 1
     812       12312 :                a_offset = a_start + ncoset(li - 1)
     813       12312 :                a_offset_f = a_start_f + ncoset(li - 1)
     814       12312 :                ncoa = nco(li)
     815       12312 :                prefi = 2.0_dp**li*(2.0_dp/pi)**0.75_dp
     816       12312 :                expi = 0.25_dp*REAL(2*li + 3, dp)
     817       12312 :                normi = 1.0_dp/(prefi*zeti**expi)
     818             : 
     819       50252 :                DO lj = MAX(0, lb_min_set - 1), lb_max_set + 1
     820       31716 :                   b_offset = b_start + ncoset(lj - 1)
     821       31716 :                   b_offset_f = b_start_f + ncoset(lj - 1)
     822       31716 :                   ncob = nco(lj)
     823       31716 :                   prefj = 2.0_dp**lj*(2.0_dp/pi)**0.75_dp
     824       31716 :                   expj = 0.25_dp*REAL(2*lj + 3, dp)
     825       31716 :                   normj = 1.0_dp/(prefj*zetj**expj)
     826             : 
     827             :                   !Loop over ECP angular momentum
     828      175473 :                   DO lk = 0, lmax_ecp
     829     1652083 :                      tmp(1:ncoa*ncob) = 0.0_dp
     830             :                      !libgrpp implicitely normalizes cartesian Gaussian. In CP2K, we do not, hence
     831             :                      !the 1/norm coefficients for PGFi and PGFj
     832             :                      CALL libgrpp_type2_integrals(ra, li, 1, [normi], [zeti], &
     833             :                                                   rb, lj, 1, [normj], [zetj], &
     834             :                                                   rc, lk, [npot_ecp(lk)], nrpot_ecp(:, lk), &
     835      788670 :                                                   coeffs_ecp(:, lk), alpha_ecp(:, lk), tmp)
     836             : 
     837             :                      !the l+-1 integrals for gradient calculation
     838      580299 :                      DO j = 1, ncob
     839     2100937 :                         DO i = 1, ncoa
     840             :                            vab_f(a_offset_f + i, b_offset_f + j) = &
     841     1969492 :                               vab_f(a_offset_f + i, b_offset_f + j) + tmp((i - 1)*ncob + j)
     842             :                         END DO
     843             :                      END DO
     844             : 
     845             :                      !the actual integrals
     846      163161 :                      IF (li >= la_min_set .AND. li <= la_max_set .AND. lj >= lb_min_set .AND. lj <= lb_max_set) THEN
     847       70924 :                         DO j = 1, ncob
     848      203815 :                            DO i = 1, ncoa
     849      184188 :                               vab(a_offset + i, b_offset + j) = vab(a_offset + i, b_offset + j) + tmp((i - 1)*ncob + j)
     850             :                            END DO
     851             :                         END DO
     852             :                      END IF
     853             : 
     854             :                   END DO !lk
     855             : 
     856             :                END DO !lj
     857             :             END DO !li
     858             : 
     859             :          END DO !jpgf
     860             :       END DO !ipgf
     861             : 
     862       11496 :       ALLOCATE (tmpx(npgfa*ncoset(la_max_set), npgfb*ncoset(lb_max_set)))
     863        8622 :       ALLOCATE (tmpy(npgfa*ncoset(la_max_set), npgfb*ncoset(lb_max_set)))
     864        8622 :       ALLOCATE (tmpz(npgfa*ncoset(la_max_set), npgfb*ncoset(lb_max_set)))
     865             : 
     866             :       !Derivative wrt to center A
     867      102609 :       tmpx(:, :) = 0.0_dp
     868      102609 :       tmpy(:, :) = 0.0_dp
     869      102609 :       tmpz(:, :) = 0.0_dp
     870             :       CALL dabdr(la_max_set, npgfa, zeta, rpgfa, la_min_set, lb_max_set, npgfb, rpgfb, lb_min_set, &
     871        2874 :                  0.0_dp, vab_f, tmpx, tmpy, tmpz)
     872       18477 :       DO j = 1, npgfb*ncoset(lb_max_set)
     873      102609 :          DO i = 1, npgfa*ncoset(la_max_set)
     874       84132 :             force_a(1) = force_a(1) + tmpx(i, j)*pab(i, j)
     875       84132 :             force_a(2) = force_a(2) + tmpy(i, j)*pab(i, j)
     876       99735 :             force_a(3) = force_a(3) + tmpz(i, j)*pab(i, j)
     877             :          END DO
     878             :       END DO
     879             : 
     880             :       !Derivative wrt to center B
     881      102609 :       tmpx(:, :) = 0.0_dp
     882      102609 :       tmpy(:, :) = 0.0_dp
     883      102609 :       tmpz(:, :) = 0.0_dp
     884             :       CALL adbdr(la_max_set, npgfa, rpgfa, la_min_set, lb_max_set, npgfb, zetb, rpgfb, lb_min_set, &
     885        2874 :                  0.0_dp, vab_f, tmpx, tmpy, tmpz)
     886       18477 :       DO j = 1, npgfb*ncoset(lb_max_set)
     887      102609 :          DO i = 1, npgfa*ncoset(la_max_set)
     888       84132 :             force_b(1) = force_b(1) + tmpx(i, j)*pab(i, j)
     889       84132 :             force_b(2) = force_b(2) + tmpy(i, j)*pab(i, j)
     890       99735 :             force_b(3) = force_b(3) + tmpz(i, j)*pab(i, j)
     891             :          END DO
     892             :       END DO
     893        2874 :       DEALLOCATE (tmpx, tmpy, tmpz)
     894             : 
     895             : #else
     896             : 
     897             :       MARK_USED(la_max_set)
     898             :       MARK_USED(la_min_set)
     899             :       MARK_USED(npgfa)
     900             :       MARK_USED(rpgfa)
     901             :       MARK_USED(zeta)
     902             :       MARK_USED(lb_max_set)
     903             :       MARK_USED(lb_min_set)
     904             :       MARK_USED(npgfb)
     905             :       MARK_USED(rpgfb)
     906             :       MARK_USED(zetb)
     907             :       MARK_USED(lmax_ecp)
     908             :       MARK_USED(npot_ecp)
     909             :       MARK_USED(alpha_ecp)
     910             :       MARK_USED(coeffs_ecp)
     911             :       MARK_USED(nrpot_ecp)
     912             :       MARK_USED(rpgfc)
     913             :       MARK_USED(rab)
     914             :       MARK_USED(dab)
     915             :       MARK_USED(rac)
     916             :       MARK_USED(dac)
     917             :       MARK_USED(dbc)
     918             :       MARK_USED(pab)
     919             :       MARK_USED(vab)
     920             :       MARK_USED(force_a)
     921             :       MARK_USED(force_b)
     922             : 
     923             :       CPABORT("Please compile CP2K with libgrpp support for calculations with ECPs")
     924             : #endif
     925             : 
     926        2874 :    END SUBROUTINE libgrpp_semilocal_forces_ref
     927             : 
     928             : END MODULE libgrpp_integrals

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