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!--------------------------------------------------------------------------------------------------!
! CP2K: A general program to perform molecular dynamics simulations !
! Copyright (C) 2000 - 2018 CP2K developers group !
!--------------------------------------------------------------------------------------------------!
! **************************************************************************************************
!> \brief Rountines for optimizing load balance between processes in HFX calculations
!> \par History
!> 04.2008 created [Manuel Guidon]
!> \author Manuel Guidon
! **************************************************************************************************
MODULE hfx_pair_list_methods
USE cell_types, ONLY: cell_type,&
pbc
USE gamma, ONLY: fgamma => fgamma_0
USE hfx_libint_wrapper_types, ONLY: prim_data_f_size
USE hfx_types, ONLY: &
hfx_basis_type, hfx_block_range_type, hfx_cell_type, hfx_pgf_list, hfx_pgf_product_list, &
hfx_potential_type, hfx_screen_coeff_type, pair_list_type, pair_set_list_type
USE input_constants, ONLY: &
do_hfx_potential_coulomb, do_hfx_potential_gaussian, do_hfx_potential_id, &
do_hfx_potential_long, do_hfx_potential_mix_cl, do_hfx_potential_mix_cl_trunc, &
do_hfx_potential_mix_lg, do_hfx_potential_short, do_hfx_potential_truncated, &
do_mp2_potential_TShPSC
USE kinds, ONLY: dp
USE mathconstants, ONLY: pi
USE mp2_types, ONLY: pair_list_type_mp2
USE particle_types, ONLY: particle_type
USE t_c_g0, ONLY: t_c_g0_n
USE t_sh_p_s_c, ONLY: trunc_CS_poly_n20
#include "./base/base_uses.f90"
IMPLICIT NONE
PRIVATE
PUBLIC :: build_pair_list, &
build_pair_list_mp2, &
build_pair_list_pgf, &
build_pgf_product_list, &
build_atomic_pair_list, &
pgf_product_list_size
! an initial estimate for the size of the product list
INTEGER, SAVE :: pgf_product_list_size = 128
!***
CONTAINS
! **************************************************************************************************
!> \brief ...
!> \param list1 ...
!> \param list2 ...
!> \param product_list ...
!> \param nproducts ...
!> \param log10_pmax ...
!> \param log10_eps_schwarz ...
!> \param neighbor_cells ...
!> \param cell ...
!> \param potential_parameter ...
!> \param m_max ...
!> \param do_periodic ...
! **************************************************************************************************
SUBROUTINE build_pgf_product_list(list1, list2, product_list, nproducts, &
log10_pmax, log10_eps_schwarz, neighbor_cells, &
cell, potential_parameter, m_max, do_periodic)
TYPE(hfx_pgf_list) :: list1, list2
TYPE(hfx_pgf_product_list), ALLOCATABLE, &
DIMENSION(:), INTENT(INOUT) :: product_list
INTEGER, INTENT(OUT) :: nproducts
REAL(dp), INTENT(IN) :: log10_pmax, log10_eps_schwarz
TYPE(hfx_cell_type), DIMENSION(:), POINTER :: neighbor_cells
TYPE(cell_type), POINTER :: cell
TYPE(hfx_potential_type) :: potential_parameter
INTEGER, INTENT(IN) :: m_max
LOGICAL, INTENT(IN) :: do_periodic
INTEGER :: i, j, k, l, nimages1, nimages2, tmp_i4
LOGICAL :: use_gamma
REAL(dp) :: C11(3), Eta, EtaInv, factor, Fm(prim_data_f_size), omega2, omega_corr, &
omega_corr2, P(3), pgf_max_1, pgf_max_2, PQ(3), Q(3), R, R1, R2, ra(3), rb(3), rc(3), &
rd(3), Rho, RhoInv, rpq2, S1234, S1234a, S1234b, shift(3), T, temp(3), temp_CC(3), &
temp_DD(3), tmp, tmp_D(3), W(3), Zeta1, Zeta_C, Zeta_D, ZetapEtaInv
TYPE(hfx_pgf_product_list), ALLOCATABLE, &
DIMENSION(:) :: tmp_product_list
nimages1 = list1%nimages
nimages2 = list2%nimages
nproducts = 0
Zeta1 = list1%zetapzetb
Eta = list2%zetapzetb
EtaInv = list2%ZetaInv
Zeta_C = list2%zeta
Zeta_D = list2%zetb
DO i = 1, nimages1
P = list1%image_list(i)%P
R1 = list1%image_list(i)%R
S1234a = list1%image_list(i)%S1234
pgf_max_1 = list1%image_list(i)%pgf_max
ra = list1%image_list(i)%ra
rb = list1%image_list(i)%rb
DO j = 1, nimages2
pgf_max_2 = list2%image_list(j)%pgf_max
IF (pgf_max_1+pgf_max_2+log10_pmax < log10_eps_schwarz) CYCLE
Q = list2%image_list(j)%P
R2 = list2%image_list(j)%R
S1234b = list2%image_list(j)%S1234
rc = list2%image_list(j)%ra
rd = list2%image_list(j)%rb
ZetapEtaInv = Zeta1+Eta
ZetapEtaInv = 1.0_dp/ZetapEtaInv
Rho = Zeta1*Eta*ZetapEtaInv
RhoInv = 1.0_dp/Rho
S1234 = EXP(S1234a+S1234b)
IF (do_periodic) THEN
temp = P-Q
PQ = pbc(temp, cell)
shift = -PQ+temp
temp_CC = rc+shift
temp_DD = rd+shift
END IF
DO k = 1, SIZE(neighbor_cells)
IF (do_periodic) THEN
C11 = temp_CC+neighbor_cells(k)%cell_r(:)
tmp_D = temp_DD+neighbor_cells(k)%cell_r(:)
ELSE
C11 = rc
tmp_D = rd
END IF
Q = (Zeta_C*C11+Zeta_D*tmp_D)*EtaInv
rpq2 = (P(1)-Q(1))**2+(P(2)-Q(2))**2+(P(3)-Q(3))**2
IF (potential_parameter%potential_type == do_hfx_potential_truncated .OR. &
potential_parameter%potential_type == do_hfx_potential_short .OR. &
potential_parameter%potential_type == do_hfx_potential_mix_cl_trunc) THEN
IF (rpq2 > (R1+R2+potential_parameter%cutoff_radius)**2) CYCLE
END IF
IF (potential_parameter%potential_type == do_mp2_potential_TShPSC) THEN
IF (rpq2 > (R1+R2+potential_parameter%cutoff_radius*2.0_dp)**2) CYCLE
END IF
nproducts = nproducts+1
! allocate size as needed,
! updating the global size estimate to make this a rare event in longer simulations
IF (nproducts > SIZE(product_list)) THEN
!$OMP ATOMIC READ
tmp_i4 = pgf_product_list_size
tmp_i4 = MAX(pgf_product_list_size, (3*nproducts+1)/2)
!$OMP ATOMIC WRITE
pgf_product_list_size = tmp_i4
ALLOCATE (tmp_product_list(SIZE(product_list)))
tmp_product_list(:) = product_list
DEALLOCATE (product_list)
ALLOCATE (product_list(tmp_i4))
product_list(1:SIZE(tmp_product_list)) = tmp_product_list
DEALLOCATE (tmp_product_list)
ENDIF
T = Rho*rpq2
SELECT CASE (potential_parameter%potential_type)
CASE (do_hfx_potential_truncated)
R = potential_parameter%cutoff_radius*SQRT(Rho)
CALL t_c_g0_n(product_list(nproducts)%Fm(1), use_gamma, R, T, m_max)
IF (use_gamma) CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
factor = 2.0_dp*Pi*RhoInv
CASE (do_mp2_potential_TShPSC)
R = potential_parameter%cutoff_radius*SQRT(Rho)
product_list(nproducts)%Fm = 0.0_dp
CALL trunc_CS_poly_n20(product_list(nproducts)%Fm(1), R, T, m_max)
factor = 2.0_dp*Pi*RhoInv
CASE (do_hfx_potential_coulomb)
CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
factor = 2.0_dp*Pi*RhoInv
CASE (do_hfx_potential_short)
CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
omega2 = potential_parameter%omega**2
omega_corr2 = omega2/(omega2+Rho)
omega_corr = SQRT(omega_corr2)
T = T*omega_corr2
CALL fgamma(m_max, T, Fm)
tmp = -omega_corr
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)+Fm(l)*tmp
tmp = tmp*omega_corr2
END DO
factor = 2.0_dp*Pi*RhoInv
CASE (do_hfx_potential_long)
omega2 = potential_parameter%omega**2
omega_corr2 = omega2/(omega2+Rho)
omega_corr = SQRT(omega_corr2)
T = T*omega_corr2
CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
tmp = omega_corr
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)*tmp
tmp = tmp*omega_corr2
END DO
factor = 2.0_dp*Pi*RhoInv
CASE (do_hfx_potential_mix_cl)
CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
omega2 = potential_parameter%omega**2
omega_corr2 = omega2/(omega2+Rho)
omega_corr = SQRT(omega_corr2)
T = T*omega_corr2
CALL fgamma(m_max, T, Fm)
tmp = omega_corr
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = &
product_list(nproducts)%Fm(l)*potential_parameter%scale_coulomb &
+Fm(l)*tmp*potential_parameter%scale_longrange
tmp = tmp*omega_corr2
END DO
factor = 2.0_dp*Pi*RhoInv
CASE (do_hfx_potential_mix_cl_trunc)
! truncated
R = potential_parameter%cutoff_radius*SQRT(rho)
CALL t_c_g0_n(product_list(nproducts)%Fm(1), use_gamma, R, T, m_max)
IF (use_gamma) CALL fgamma(m_max, T, product_list(nproducts)%Fm(1))
! Coulomb
CALL fgamma(m_max, T, Fm)
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)* &
(potential_parameter%scale_coulomb+potential_parameter%scale_longrange)- &
Fm(l)*potential_parameter%scale_longrange
ENDDO
! longrange
omega2 = potential_parameter%omega**2
omega_corr2 = omega2/(omega2+Rho)
omega_corr = SQRT(omega_corr2)
T = T*omega_corr2
CALL fgamma(m_max, T, Fm)
tmp = omega_corr
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)+Fm(l)*tmp*potential_parameter%scale_longrange
tmp = tmp*omega_corr2
END DO
factor = 2.0_dp*Pi*RhoInv
CASE (do_hfx_potential_gaussian)
omega2 = potential_parameter%omega**2
T = -omega2*T/(Rho+omega2)
tmp = 1.0_dp
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = EXP(T)*tmp
tmp = tmp*omega2/(Rho+omega2)
END DO
factor = (Pi/(Rho+omega2))**(1.5_dp)
CASE (do_hfx_potential_mix_lg)
omega2 = potential_parameter%omega**2
omega_corr2 = omega2/(omega2+Rho)
omega_corr = SQRT(omega_corr2)
T = T*omega_corr2
CALL fgamma(m_max, T, Fm)
tmp = omega_corr*2.0_dp*Pi*RhoInv*potential_parameter%scale_longrange
DO l = 1, m_max+1
Fm(l) = Fm(l)*tmp
tmp = tmp*omega_corr2
END DO
T = Rho*rpq2
T = -omega2*T/(Rho+omega2)
tmp = (Pi/(Rho+omega2))**(1.5_dp)*potential_parameter%scale_gaussian
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = EXP(T)*tmp+Fm(l)
tmp = tmp*omega2/(Rho+omega2)
END DO
factor = 1.0_dp
CASE (do_hfx_potential_id)
product_list(nproducts)%Fm(1) = (Pi*RhoInv)**(1.5_dp)
DO l = 2, m_max+1
product_list(nproducts)%Fm(l) = 0.0_dp
END DO
factor = 1.0_dp
END SELECT
tmp = (Pi*ZetapEtaInv)**3
factor = factor*S1234*SQRT(tmp)
DO l = 1, m_max+1
product_list(nproducts)%Fm(l) = product_list(nproducts)%Fm(l)*factor
END DO
W = (Zeta1*P+Eta*Q)*ZetapEtaInv
product_list(nproducts)%ra = ra
product_list(nproducts)%rb = rb
product_list(nproducts)%rc = C11
product_list(nproducts)%rd = tmp_D
product_list(nproducts)%ZetapEtaInv = ZetapEtaInv
product_list(nproducts)%Rho = Rho
product_list(nproducts)%RhoInv = RhoInv
product_list(nproducts)%P = P
product_list(nproducts)%Q = Q
product_list(nproducts)%W = W
product_list(nproducts)%AB = ra-rb
product_list(nproducts)%CD = C11-tmp_D
END DO
END DO
END DO
END SUBROUTINE build_pgf_product_list
! **************************************************************************************************
!> \brief ...
!> \param npgfa ...
!> \param npgfb ...
!> \param list ...
!> \param zeta ...
!> \param zetb ...
!> \param screen1 ...
!> \param screen2 ...
!> \param pgf ...
!> \param R_pgf ...
!> \param log10_pmax ...
!> \param log10_eps_schwarz ...
!> \param ra ...
!> \param rb ...
!> \param nelements ...
!> \param neighbor_cells ...
!> \param nimages ...
!> \param do_periodic ...
! **************************************************************************************************
SUBROUTINE build_pair_list_pgf(npgfa, npgfb, list, zeta, zetb, screen1, screen2, pgf, R_pgf, &
log10_pmax, log10_eps_schwarz, ra, rb, nelements, &
neighbor_cells, nimages, do_periodic)
INTEGER, INTENT(IN) :: npgfa, npgfb
TYPE(hfx_pgf_list), DIMENSION(npgfa*npgfb) :: list
REAL(dp), DIMENSION(1:npgfa), INTENT(IN) :: zeta
REAL(dp), DIMENSION(1:npgfb), INTENT(IN) :: zetb
REAL(dp), INTENT(IN) :: screen1(2), screen2(2)
TYPE(hfx_screen_coeff_type), DIMENSION(:, :), &
POINTER :: pgf, R_pgf
REAL(dp), INTENT(IN) :: log10_pmax, log10_eps_schwarz, ra(3), &
rb(3)
INTEGER, INTENT(OUT) :: nelements
TYPE(hfx_cell_type), DIMENSION(:), POINTER :: neighbor_cells
INTEGER :: nimages(npgfa*npgfb)
LOGICAL, INTENT(IN) :: do_periodic
INTEGER :: element_counter, i, ipgf, j, jpgf
REAL(dp) :: AB(3), im_B(3), pgf_max, rab2, Zeta1, &
Zeta_A, Zeta_B, ZetaInv
nimages = 0
! ** inner loop may never be reached
nelements = npgfa*npgfb
DO i = 1, SIZE(neighbor_cells)
IF (do_periodic) THEN
im_B = rb+neighbor_cells(i)%cell_r(:)
ELSE
im_B = rb
END IF
AB = ra-im_B
rab2 = AB(1)**2+AB(2)**2+AB(3)**2
IF (screen1(1)*rab2+screen1(2)+screen2(2)+log10_pmax < log10_eps_schwarz) CYCLE
element_counter = 0
DO ipgf = 1, npgfa
DO jpgf = 1, npgfb
element_counter = element_counter+1
pgf_max = pgf(jpgf, ipgf)%x(1)*rab2+pgf(jpgf, ipgf)%x(2)
IF (pgf_max+screen2(2)+log10_pmax < log10_eps_schwarz) THEN
CYCLE
END IF
nimages(element_counter) = nimages(element_counter)+1
list(element_counter)%image_list(nimages(element_counter))%pgf_max = pgf_max
list(element_counter)%image_list(nimages(element_counter))%ra = ra
list(element_counter)%image_list(nimages(element_counter))%rb = im_B
list(element_counter)%image_list(nimages(element_counter))%rab2 = rab2
Zeta_A = zeta(ipgf)
Zeta_B = zetb(jpgf)
Zeta1 = Zeta_A+Zeta_B
ZetaInv = 1.0_dp/Zeta1
IF (nimages(element_counter) == 1) THEN
list(element_counter)%ipgf = ipgf
list(element_counter)%jpgf = jpgf
list(element_counter)%zetaInv = ZetaInv
list(element_counter)%zetapzetb = Zeta1
list(element_counter)%zeta = Zeta_A
list(element_counter)%zetb = Zeta_B
END IF
list(element_counter)%image_list(nimages(element_counter))%S1234 = (-Zeta_A*Zeta_B*ZetaInv*rab2)
list(element_counter)%image_list(nimages(element_counter))%P = (Zeta_A*ra+Zeta_B*im_B)*ZetaInv
list(element_counter)%image_list(nimages(element_counter))%R = &
MAX(0.0_dp, R_pgf(jpgf, ipgf)%x(1)*rab2+R_pgf(jpgf, ipgf)%x(2))
list(element_counter)%image_list(nimages(element_counter))%ra = ra
list(element_counter)%image_list(nimages(element_counter))%rb = im_B
list(element_counter)%image_list(nimages(element_counter))%rab2 = rab2
list(element_counter)%image_list(nimages(element_counter))%bcell = neighbor_cells(i)%cell
END DO
END DO
nelements = MAX(nelements, element_counter)
END DO
DO j = 1, nelements
list(j)%nimages = nimages(j)
END DO
! ** Remove unused elements
element_counter = 0
DO j = 1, nelements
IF (list(j)%nimages == 0) CYCLE
element_counter = element_counter+1
list(element_counter)%nimages = list(j)%nimages
list(element_counter)%zetapzetb = list(j)%zetapzetb
list(element_counter)%ZetaInv = list(j)%ZetaInv
list(element_counter)%zeta = list(j)%zeta
list(element_counter)%zetb = list(j)%zetb
list(element_counter)%ipgf = list(j)%ipgf
list(element_counter)%jpgf = list(j)%jpgf
DO i = 1, list(j)%nimages
list(element_counter)%image_list(i) = list(j)%image_list(i)
END DO
END DO
nelements = element_counter
END SUBROUTINE build_pair_list_pgf
! **************************************************************************************************
!> \brief ...
!> \param natom ...
!> \param list ...
!> \param set_list ...
!> \param i_start ...
!> \param i_end ...
!> \param j_start ...
!> \param j_end ...
!> \param kind_of ...
!> \param basis_parameter ...
!> \param particle_set ...
!> \param do_periodic ...
!> \param coeffs_set ...
!> \param coeffs_kind ...
!> \param coeffs_kind_max0 ...
!> \param log10_eps_schwarz ...
!> \param cell ...
!> \param pmax_blocks ...
!> \param atomic_pair_list ...
! **************************************************************************************************
SUBROUTINE build_pair_list(natom, list, set_list, i_start, i_end, j_start, j_end, kind_of, basis_parameter, particle_set, &
do_periodic, coeffs_set, coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
pmax_blocks, atomic_pair_list)
INTEGER, INTENT(IN) :: natom
TYPE(pair_list_type), INTENT(OUT) :: list
TYPE(pair_set_list_type), DIMENSION(*), &
INTENT(OUT) :: set_list
INTEGER, INTENT(IN) :: i_start, i_end, j_start, j_end
INTEGER :: kind_of(*)
TYPE(hfx_basis_type), DIMENSION(:), POINTER :: basis_parameter
TYPE(particle_type), DIMENSION(:), POINTER :: particle_set
LOGICAL, INTENT(IN) :: do_periodic
TYPE(hfx_screen_coeff_type), &
DIMENSION(:, :, :, :), POINTER :: coeffs_set
TYPE(hfx_screen_coeff_type), DIMENSION(:, :) :: coeffs_kind
REAL(KIND=dp), INTENT(IN) :: coeffs_kind_max0, log10_eps_schwarz
TYPE(cell_type), POINTER :: cell
REAL(dp) :: pmax_blocks
LOGICAL, DIMENSION(natom, natom) :: atomic_pair_list
INTEGER :: iatom, ikind, iset, jatom, jkind, jset, &
n_element, nset_ij, nseta, nsetb
REAL(KIND=dp) :: rab2
REAL(KIND=dp), DIMENSION(3) :: B11, pbc_B, ra, rb, temp
n_element = 0
nset_ij = 0
DO iatom = i_start, i_end
DO jatom = j_start, j_end
IF (atomic_pair_list(jatom, iatom) .EQV. .FALSE.) CYCLE
ikind = kind_of(iatom)
nseta = basis_parameter(ikind)%nset
ra = particle_set(iatom)%r(:)
IF (jatom < iatom) CYCLE
jkind = kind_of(jatom)
nsetb = basis_parameter(jkind)%nset
rb = particle_set(jatom)%r(:)
IF (do_periodic) THEN
temp = rb-ra
pbc_B = pbc(temp, cell)
B11 = ra+pbc_B
rab2 = (ra(1)-B11(1))**2+(ra(2)-B11(2))**2+(ra(3)-B11(3))**2
ELSE
rab2 = (ra(1)-rb(1))**2+(ra(2)-rb(2))**2+(ra(3)-rb(3))**2
B11 = rb ! ra - rb
END IF
IF ((coeffs_kind(jkind, ikind)%x(1)*rab2+ &
coeffs_kind(jkind, ikind)%x(2))+coeffs_kind_max0+pmax_blocks < log10_eps_schwarz) CYCLE
n_element = n_element+1
list%elements(n_element)%pair(1) = iatom
list%elements(n_element)%pair(2) = jatom
list%elements(n_element)%kind_pair(1) = ikind
list%elements(n_element)%kind_pair(2) = jkind
list%elements(n_element)%r1 = ra
list%elements(n_element)%r2 = B11
list%elements(n_element)%dist2 = rab2
! build a list of guaranteed overlapping sets
list%elements(n_element)%set_bounds(1) = nset_ij+1
DO iset = 1, nseta
DO jset = 1, nsetb
IF (coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2+coeffs_set(jset, iset, jkind, ikind)%x(2)+ &
coeffs_kind_max0+pmax_blocks < log10_eps_schwarz) CYCLE
nset_ij = nset_ij+1
set_list(nset_ij)%pair(1) = iset
set_list(nset_ij)%pair(2) = jset
END DO
END DO
list%elements(n_element)%set_bounds(2) = nset_ij
END DO
END DO
list%n_element = n_element
END SUBROUTINE build_pair_list
! **************************************************************************************************
!> \brief ...
!> \param natom ...
!> \param atomic_pair_list ...
!> \param kind_of ...
!> \param basis_parameter ...
!> \param particle_set ...
!> \param do_periodic ...
!> \param coeffs_kind ...
!> \param coeffs_kind_max0 ...
!> \param log10_eps_schwarz ...
!> \param cell ...
!> \param blocks ...
! **************************************************************************************************
SUBROUTINE build_atomic_pair_list(natom, atomic_pair_list, kind_of, basis_parameter, particle_set, &
do_periodic, coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
blocks)
INTEGER, INTENT(IN) :: natom
LOGICAL, DIMENSION(natom, natom) :: atomic_pair_list
INTEGER :: kind_of(*)
TYPE(hfx_basis_type), DIMENSION(:), POINTER :: basis_parameter
TYPE(particle_type), DIMENSION(:), POINTER :: particle_set
LOGICAL, INTENT(IN) :: do_periodic
TYPE(hfx_screen_coeff_type), DIMENSION(:, :) :: coeffs_kind
REAL(KIND=dp), INTENT(IN) :: coeffs_kind_max0, log10_eps_schwarz
TYPE(cell_type), POINTER :: cell
TYPE(hfx_block_range_type), DIMENSION(:), POINTER :: blocks
INTEGER :: iatom, iatom_end, iatom_start, iblock, &
ikind, jatom, jatom_end, jatom_start, &
jblock, jkind, nseta, nsetb
REAL(KIND=dp) :: rab2
REAL(KIND=dp), DIMENSION(3) :: B11, pbc_B, ra, rb, temp
atomic_pair_list = .FALSE.
DO iblock = 1, SIZE(blocks)
iatom_start = blocks(iblock)%istart
iatom_end = blocks(iblock)%iend
DO jblock = 1, SIZE(blocks)
jatom_start = blocks(jblock)%istart
jatom_end = blocks(jblock)%iend
DO iatom = iatom_start, iatom_end
ikind = kind_of(iatom)
nseta = basis_parameter(ikind)%nset
ra = particle_set(iatom)%r(:)
DO jatom = jatom_start, jatom_end
IF (jatom < iatom) CYCLE
jkind = kind_of(jatom)
nsetb = basis_parameter(jkind)%nset
rb = particle_set(jatom)%r(:)
IF (do_periodic) THEN
temp = rb-ra
pbc_B = pbc(temp, cell)
B11 = ra+pbc_B
rab2 = (ra(1)-B11(1))**2+(ra(2)-B11(2))**2+(ra(3)-B11(3))**2
ELSE
rab2 = (ra(1)-rb(1))**2+(ra(2)-rb(2))**2+(ra(3)-rb(3))**2
B11 = rb ! ra - rb
END IF
IF ((coeffs_kind(jkind, ikind)%x(1)*rab2+ &
coeffs_kind(jkind, ikind)%x(2))+coeffs_kind_max0 < log10_eps_schwarz) CYCLE
atomic_pair_list(jatom, iatom) = .TRUE.
atomic_pair_list(iatom, jatom) = .TRUE.
END DO
END DO
END DO
END DO
END SUBROUTINE build_atomic_pair_list
! **************************************************************************************************
!> \brief ...
!> \param natom ...
!> \param list ...
!> \param set_list ...
!> \param i_start ...
!> \param i_end ...
!> \param j_start ...
!> \param j_end ...
!> \param kind_of ...
!> \param basis_parameter ...
!> \param particle_set ...
!> \param do_periodic ...
!> \param coeffs_set ...
!> \param coeffs_kind ...
!> \param coeffs_kind_max0 ...
!> \param log10_eps_schwarz ...
!> \param cell ...
!> \param pmax_blocks ...
!> \param atomic_pair_list ...
!> \param skip_atom_symmetry ...
! **************************************************************************************************
SUBROUTINE build_pair_list_mp2(natom, list, set_list, i_start, i_end, j_start, j_end, kind_of, basis_parameter, particle_set, &
do_periodic, coeffs_set, coeffs_kind, coeffs_kind_max0, log10_eps_schwarz, cell, &
pmax_blocks, atomic_pair_list, skip_atom_symmetry)
INTEGER, INTENT(IN) :: natom
TYPE(pair_list_type_mp2) :: list
TYPE(pair_set_list_type), DIMENSION(*), &
INTENT(OUT) :: set_list
INTEGER, INTENT(IN) :: i_start, i_end, j_start, j_end
INTEGER :: kind_of(*)
TYPE(hfx_basis_type), DIMENSION(:), POINTER :: basis_parameter
TYPE(particle_type), DIMENSION(:), POINTER :: particle_set
LOGICAL, INTENT(IN) :: do_periodic
TYPE(hfx_screen_coeff_type), &
DIMENSION(:, :, :, :), POINTER :: coeffs_set
TYPE(hfx_screen_coeff_type), DIMENSION(:, :) :: coeffs_kind
REAL(KIND=dp), INTENT(IN) :: coeffs_kind_max0, log10_eps_schwarz
TYPE(cell_type), POINTER :: cell
REAL(dp) :: pmax_blocks
LOGICAL, DIMENSION(natom, natom) :: atomic_pair_list
LOGICAL, OPTIONAL :: skip_atom_symmetry
INTEGER :: iatom, ikind, iset, jatom, jkind, jset, &
n_element, nset_ij, nseta, nsetb
LOGICAL :: my_skip_atom_symmetry
REAL(KIND=dp) :: rab2
REAL(KIND=dp), DIMENSION(3) :: B11, pbc_B, ra, rb, temp
n_element = 0
nset_ij = 0
my_skip_atom_symmetry = .FALSE.
IF (PRESENT(skip_atom_symmetry)) my_skip_atom_symmetry = skip_atom_symmetry
DO iatom = i_start, i_end
DO jatom = j_start, j_end
IF (atomic_pair_list(jatom, iatom) .EQV. .FALSE.) CYCLE
ikind = kind_of(iatom)
nseta = basis_parameter(ikind)%nset
ra = particle_set(iatom)%r(:)
IF (jatom < iatom .AND. (.NOT. my_skip_atom_symmetry)) CYCLE
jkind = kind_of(jatom)
nsetb = basis_parameter(jkind)%nset
rb = particle_set(jatom)%r(:)
IF (do_periodic) THEN
temp = rb-ra
pbc_B = pbc(temp, cell)
B11 = ra+pbc_B
rab2 = (ra(1)-B11(1))**2+(ra(2)-B11(2))**2+(ra(3)-B11(3))**2
ELSE
rab2 = (ra(1)-rb(1))**2+(ra(2)-rb(2))**2+(ra(3)-rb(3))**2
B11 = rb ! ra - rb
END IF
IF ((coeffs_kind(jkind, ikind)%x(1)*rab2+ &
coeffs_kind(jkind, ikind)%x(2))+coeffs_kind_max0+pmax_blocks < log10_eps_schwarz) CYCLE
n_element = n_element+1
list%elements(n_element)%pair(1) = iatom
list%elements(n_element)%pair(2) = jatom
list%elements(n_element)%kind_pair(1) = ikind
list%elements(n_element)%kind_pair(2) = jkind
list%elements(n_element)%r1 = ra
list%elements(n_element)%r2 = B11
list%elements(n_element)%dist2 = rab2
! build a list of guaranteed overlapping sets
list%elements(n_element)%set_bounds(1) = nset_ij+1
DO iset = 1, nseta
DO jset = 1, nsetb
IF (coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2+coeffs_set(jset, iset, jkind, ikind)%x(2)+ &
coeffs_kind_max0+pmax_blocks < log10_eps_schwarz) CYCLE
nset_ij = nset_ij+1
set_list(nset_ij)%pair(1) = iset
set_list(nset_ij)%pair(2) = jset
END DO
END DO
list%elements(n_element)%set_bounds(2) = nset_ij
END DO
END DO
list%n_element = n_element
END SUBROUTINE build_pair_list_mp2
END MODULE hfx_pair_list_methods
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