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focas_data.F90
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!!
!@BEGIN LICENSE
!
! v2RDM-CASSCF, a plugin to:
!
! Psi4: an open-source quantum chemistry software package
!
! This program is free software; you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation; either version 2 of the License, or
! (at your option) any later version.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License along
! with this program; if not, write to the Free Software Foundation, Inc.,
! 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
!
!@END LICENSE
!
!!
module focas_data
implicit none
! *** parameters
integer, parameter :: max_regular_int_=2**30 ! maximum value for signed integer
integer, parameter :: wp = selected_real_kind(10) ! general working precision kind value
integer, parameter :: ip = selected_int_kind(16) ! 64-bit integers (integral addressing)
integer, parameter :: fid_ = 12345 ! file identifier for output file
integer, parameter :: max_nirrep_=8 ! maximum number of irreps
character(3), parameter :: g_element_type_(4) =(/'a-i','e-i','a-a','e-a'/)
integer, parameter :: group_mult_tab_(max_nirrep_,max_nirrep_) & ! irrep multiplication table
& = reshape( (/ &
& 1,2,3,4,5,6,7,8, &
& 2,1,4,3,6,5,8,7, &
& 3,4,1,2,7,8,5,6, &
& 4,3,2,1,8,7,6,5, &
& 5,6,7,8,1,2,3,4, &
& 6,5,8,7,2,1,4,3, &
& 7,8,5,6,3,4,1,2, &
& 8,7,6,5,4,3,2,1 /), (/8,8/) )
! *** allocatable real arrays
real(wp), allocatable :: q_(:,:) ! auxiliary matrix (asymmetric, nact*nmo storage)
real(wp), allocatable :: z_(:,:) ! auxiliary matrix that contains cotractions of the fock_i with den1 ( nact*nmo storage)
! real(wp), allocatable :: fock_gen_(:,:) ! generalized Fock matrix (nmo*nmo storage)
real(wp), allocatable :: orbital_gradient_(:) ! orbital gradient
real(wp), allocatable :: orbital_hessian_(:) ! diagonal elements of the orbital hessian
real(wp), allocatable :: kappa_(:) ! orbital rotation parameters (lt elements of skew-symmetric matrix, npair_ storage)
real(wp), allocatable :: fa_scr_4index_(:,:) ! 4-index integrals for active Fock matrix construction (n^2 * nA^2 storage)
real(wp), allocatable :: fi_scr_4index_(:,:) ! 4-index integrals for active Fock matrix construction (n^2 * nD^2 storage)
! *** symmetry data for integrals and densities
type sym_info
integer, allocatable :: ngempi(:) ! number of geminals per irrep
integer, allocatable :: nnzpi(:) ! number of nnz matrix elements
integer, allocatable :: offset(:) ! offset for first matrix element in this irrep
integer, allocatable :: gemind(:,:) ! symmetry-reduced index of a geminal
end type sym_info
! symmetry data for transformation
type matrix_block
real(wp), allocatable :: val(:,:)
end type matrix_block
type vector_block
real(wp), allocatable :: val(:)
end type vector_block
type trans_info
integer, allocatable :: U_eq_I(:) ! flag for the type of U matrix (==1 U==I and ==0 U/=I)
integer, allocatable :: npairpi(:) ! number of orbital rotation pairs per irrep
integer, allocatable :: nmopi(:) ! number of orbitals per irrep
integer, allocatable :: offset(:) ! first index of orbital (with a given symmetry) in the irrep_to_class_map array
integer, allocatable :: irrep_to_class_map(:) ! mapping array to map symmetry-reduced index to class-index
integer, allocatable :: class_to_irrep_map(:) ! mapping array to map class-index to symmetry-reduced index
type(matrix_block), allocatable :: u_irrep_block(:) ! transformation matrix for a symmetry block
end type trans_info
type rot_info
integer :: act_doc_type ! index for active-doubly occupied orbital pair
integer :: ext_doc_type ! index for external-doubly occupied orbital pair
integer :: act_act_type ! index for active-active orbital pair
integer :: ext_act_type ! index for external-active orbital pair
integer :: n_tot ! total number of rotation pairs
integer :: n_ad ! total number of active-doubly occupied rotation pairs
integer :: n_aa ! total number of active-active pairs
integer :: n_ed ! total number of external-doubly occupied rotation pairs
integer :: n_ea ! total number of external-active rotation pairs
integer, allocatable :: pair_offset(:,:)
end type rot_info
type df_info
integer :: Qstride ! stride of auxiliary index Q ( == 1 --> (ij,Q=1 ... nQ) // == nQ -> (ij=1...n*(n+1)/2,Q) )
integer :: nQ ! number of auxiliary function for density-fitted integrals
integer :: use_df_teints ! flag to use density-fitted 2-e integrals
integer, allocatable :: class_to_df_map(:) ! mapping array to map orbital indeces from class order to df order
! integer, allocatable :: occgemind(:,:) ! symmetry reduced geminal indeces for occupied oritals
! integer, allocatable :: noccgempi(:) ! number of symmetry reduced geminals per irrep
end type df_info
type diis_info
integer :: do_diis ! flag for performing DIIS updates (set internally based on max_num_diis)
integer :: error ! return code from dgesv()
integer :: update ! internal flag for performing update
integer :: max_num_diis ! maximum number of diis vectors stored
integer :: current_index ! current diis index
real(wp), allocatable :: B(:,:) ! DIIS B matrix (max_num_diis+1,max_num_diis+1)
real(wp), allocatable :: c(:) ! coefficent vector for DIIS interpolation
integer, allocatable :: ip(:) ! temporary matrix used during solution of A * x = c
real(wp), allocatable :: dP(:,:) ! dP vectors (npair,max_num_diis)
real(wp), allocatable :: P(:,:)
end type diis_info
type fock_info
type(matrix_block), allocatable :: occ(:)
type(vector_block), allocatable :: ext(:)
end type fock_info
type qint_info
type(matrix_block), allocatable :: tuQ(:)
end type qint_info
type gen_f_info
type(matrix_block), allocatable :: doc(:)
type(matrix_block), allocatable :: act(:)
type(matrix_block), allocatable :: ext(:)
type(vector_block), allocatable :: doc_e(:)
type(vector_block), allocatable :: act_e(:)
type(vector_block), allocatable :: ext_e(:)
end type gen_f_info
type p_sym_info
type(matrix_block), allocatable :: t_sym(:)
end type p_sym_info
type fock_scr_info
type(p_sym_info), allocatable :: p_sym(:)
end type fock_scr_info
! *** allocatable derived types
type(sym_info) :: dens_ ! density symmetry data
type(sym_info) :: ints_ ! integral symmetry data
type(trans_info) :: trans_
type(diis_info) :: diis_
type(fock_info) :: fock_i_
type(fock_info) :: fock_a_
type(qint_info) :: qint_
type(gen_f_info) :: gen_f_
type(fock_scr_info) :: fa_scr_(3)
type(fock_scr_info) :: fi_scr_(3)
! indexing derived types
type(rot_info) :: rot_pair_ ! info for rotation pair indexing
type(df_info) :: df_vars_
! *** allocatable orbital index arrays
integer, allocatable :: nfzcpi_(:) ! number of frozen (not optimized) doubly occupied orbitals per irrep
integer, allocatable :: ndocpi_(:) ! number of doubly occupied orbitals (including frozen) per irrep
integer, allocatable :: nactpi_(:) ! number of active orbitals per irrep
integer, allocatable :: nextpi_(:) ! number of external orbitals per irrep
integer, allocatable :: first_index_(:,:) ! index of first orbital in this class and irrep (nirrep,3)
integer, allocatable :: last_index_(:,:) ! index of last orbital in this class and irrep (nirrep,3)
integer, allocatable :: orb_sym_scr_(:) ! scratch array to store the symmetries of orbitals
! *** integers
integer :: nirrep_ ! number of irreps in point group
integer :: nfzc_tot_ ! number of frozen doubly occupied orbitals
integer :: ndoc_tot_ ! total number of doubly occupied (including frozen) orbitals
integer :: nact_tot_ ! total number of active orbitals
integer :: next_tot_ ! total number of external orbitals
integer :: nmo_tot_ ! total number of orbitals
integer :: ngem_tot_ ! total number of geminals (ij) with i <= j
integer :: include_aa_rot_ ! 1/0 = include/do not include rotations between active-active orbtials
integer :: nthread_use_ ! number of threads to use in parallel parts of the code (this is the actuaal number of threads used)
integer :: log_print_ ! 1/0 = flag for printing iteration/info for orbtial optimization
integer :: num_negative_diagonal_hessian_ ! number of negative diagonal Hessian matrix elements
integer :: use_exact_hessian_diagonal_ ! flag to use exact expressions for the diagonal elements of the Hessian
integer :: num_diis_vectors_
! *** doubles
real(wp) :: e1_c_ ! core contribution to 1-e energy
real(wp) :: e2_cc_ ! core contribution to 2-e energy all indeces in g(pq|rs) in \D
real(wp) :: e1_a_ ! active contribution to 1-e energy
real(wp) :: e2_aa_ ! active-active contribution to 2-e energy all indeces in g(pq|rs) in \A
real(wp) :: e2_ca_ ! core-active contribution to 2-e energy only 2 indeces in g(pq|rs) in \A
real(wp) :: e_nuc_rep_ ! nuclear repulsion energy
real(wp) :: e_frozen_core_ ! frozen core energy
real(wp) :: e_total_ ! total energy
real(wp) :: e1_total_ ! total 1-e energy
real(wp) :: e2_total_ ! total 2-e energy
real(wp) :: e_active_ ! active space energy
real(wp) :: grad_norm_ ! norm of the gradient ddot(g,g)
real(wp) :: min_diag_hessian_ ! smallest diagonal Hessian element
real(wp) :: max_grad_val_ ! largest gradient element
real(wp) :: norm_grad_large_ ! total norm of large gradient elements
integer :: max_grad_ind_(2) ! orbitalindeces for largest gradient element
integer :: max_grad_sym_ ! orbital pair symmetry
integer :: max_grad_typ_ ! type of orbital rotation
integer :: n_grad_large_ ! number of large gradient elements (val <= +/- 0.75_*max_grad_val)
contains
pure function pq_index(i,j)
! this function computes the two-electron index index (lower triangular reference)
! index = ii*(ii-1)/2+jj where ii=max(i,j) and jj=min(i,j)
! the ishft(k,-1) divides the value of the integer k by 2 and seems to be somewhat
! faster than the regular human-readable expression
implicit none
integer, intent(in) ::i,j
integer(ip) :: pq_index
if (i.ge.j) then
pq_index=ishft(i*(i-1),-1)+j
return
else
pq_index=ishft(j*(j-1),-1)+i
return
end if
end function pq_index
pure function df_aa_index(g,a,a_sym)
! function to return the column index of df(:,ga) where
! both g & a are an active orbitals (LT storage)
integer, intent(in) :: g,a,a_sym
integer :: a_i,g_i,df_aa_index
! adjust for the number of doubly-ococcupied orbital in this irrep
a_i = trans_%class_to_irrep_map(a)-ndocpi_(a_sym)
! orbital index within irrep
g_i = trans_%class_to_irrep_map(g)-ndocpi_(a_sym)
if (a_i.ge.g_i) then
df_aa_index=ishft(a_i*(a_i-1),-1)+g_i
return
else
df_aa_index=ishft(g_i*(g_i-1),-1)+a_i
return
end if
return
end function df_aa_index
pure function df_ga_index(g,a,a_sym)
! function to return the column index of df(:,ga) where
! g is a general index and a is an active index
! assumes that for each general index g, all the a indeces are stored in contiguous order
integer, intent(in) :: g,a,a_sym
integer :: a_i,g_i,df_ga_index
! adjust for the number of doubly-ococcupied orbital in this irrep
a_i = trans_%class_to_irrep_map(a)-ndocpi_(a_sym)
! orbital index within irrep
g_i = trans_%class_to_irrep_map(g)
df_ga_index = ( g_i - 1 ) * nactpi_(a_sym) + a_i
return
end function df_ga_index
pure function df_gd_index(g,d,d_sym)
! function to return the column index of df(:,ga) where
! g is a general index and d is an doubly-occupied index
! assumes that for each general index g, all the d indeces are stored in contiguous order
integer, intent(in) :: g,d,d_sym
integer :: d_i,g_i,df_gd_index
! adjust for the number of doubly-ococcupied orbital in this irrep
d_i = trans_%class_to_irrep_map(d)
! orbital index within irrep
g_i = trans_%class_to_irrep_map(g)
df_gd_index = ( g_i - 1 ) * ndocpi_(d_sym) + d_i
return
end function df_gd_index
pure function df_pq_index(i,j)
! this function computes the two-electron index index (lower triangular reference)
! index = ii*(ii+1)/2+jj where ii=max(i,j) and jj=min(i,j)
! the ishft(k,-1) divides the value of the integer k by 2 and seems to be somewhat
! faster than the regular human-readable expression
implicit none
integer, intent(in) ::i,j
integer(ip) :: i_long,j_long
integer(ip) :: df_pq_index
i_long = int(i,kind=ip)
j_long = int(j,kind=ip)
if (i_long.ge.j_long) then
df_pq_index = i_long * ( i_long + 1 ) / 2 + j_long
if ( df_vars_%Qstride == 1 ) df_pq_index = df_pq_index * int(df_vars_%nQ,kind=ip)
return
else
df_pq_index= j_long * ( j_long + 1 ) / 2 + i_long
if ( df_vars_%Qstride == 1 ) df_pq_index = df_pq_index * int(df_vars_%nQ,kind=ip)
return
end if
end function df_pq_index
function timer()
real(wp) :: omp_get_wtime
real(wp) :: timer(2)
! actual time
#ifdef OMP
timer(1) = omp_get_wtime()
#else
call cpu_time(timer(1))
#endif
! total CPU time
call cpu_time(timer(2))
end function timer
function my_ddot(n,vec_1,stride_1,vec_2,stride_2)
! simple wrapper for LAPACKs DDOT to avoid integer overflow
real(wp) :: my_ddot
integer, intent(in) :: n,stride_1,stride_2
real(wp), intent(in) :: vec_1(:),vec_2(:)
integer(ip) :: s_1,s_2,e_1,e_2,inc_1,inc_2
integer :: n_pass,n_have,n_need,ddot_pass
real(wp) :: ddot
! my_ddot = ddot(n,vec_1,stride_1,vec_2,stride_2)
! return
! number of values accumulated in one pass
if ( stride_1 > stride_2 ) then
n_pass = max_regular_int_ / stride_1
if ( mod( max_regular_int_ , stride_1) == 0 ) n_pass = n_pass + 1
else
n_pass = max_regular_int_ / stride_2
if ( mod( max_regular_int_ , stride_2) == 0 ) n_pass = n_pass + 1
end if
! increment in starting index
inc_1 = n_pass * stride_1 ; inc_2 = n_pass * stride_2
! initialize
n_have = 0 ; my_ddot = 0.0_wp ; s_1 = 1 ; s_2 = 1
! repeated calls to ddot
do ddot_pass = 1 , n / n_pass
n_have = n_have + n_pass
e_1 = s_1 + inc_1 - 1 ; e_2 = s_2 + inc_2 - 1
my_ddot = my_ddot + ddot(n_pass,vec_1(s_1:e_1),stride_1,vec_2(s_2:e_2),stride_2)
s_1 = s_1 + inc_1 ; s_2 = s_2 + inc_2
end do
n_need = n - n_have
if ( n_need == 0 ) return
e_1 = s_1 + ( n_need - 1 ) * stride_1 ; e_2 = s_2 + ( n_need -1 ) * stride_2
my_ddot = my_ddot + ddot(n-n_have,vec_1(s_1:e_1),stride_1,vec_2(s_2:e_2),stride_2)
return
end function my_ddot
subroutine my_dcopy(n,vec_x,stride_x,vec_y,stride_y)
! simple wrapper for LAPACKs DDOT to avoid integer overflow
! assumes that stride_x >= stride_y
integer, intent(in) :: n,stride_x,stride_y
real(wp), intent(in) :: vec_x(:),vec_y(:)
integer(ip) :: s_x,s_y,e_x,e_y,inc_x,inc_y
integer :: n_pass,n_have,n_need,dcopy_pass
! call dcopy(n,vec_x,stride_x,vec_y,stride_y)
! return
! number of values accumulated in one pass
if ( stride_x > stride_y ) then
n_pass = max_regular_int_ / stride_x
if ( mod( max_regular_int_ , stride_x) == 0 ) n_pass = n_pass + 1
else
n_pass = max_regular_int_ / stride_y
if ( mod( max_regular_int_ , stride_y) == 0 ) n_pass = n_pass + 1
end if
! increment in starting index
inc_x = n_pass * stride_x ; inc_y = n_pass * stride_y
! initialize
n_have = 0 ; s_x = 1 ; s_y = 1
! repeated calls to ddot
do dcopy_pass = 1 , n / n_pass
n_have = n_have + n_pass
e_x = s_x + inc_x - 1 ; e_y = s_y + inc_y - 1
call dcopy(n_pass,vec_x(s_x:e_x),stride_x,vec_y(s_y:e_y),stride_y)
s_x = s_x + inc_x ; s_y = s_y + inc_y
end do
n_need = n - n_have
if ( n_need == 0 ) return
e_x = s_x + ( n_need - 1 ) * stride_x ; e_y = s_y + ( n_need - 1 ) * stride_y
call dcopy(n-n_have,vec_x(s_x:e_x),stride_x,vec_y(s_y:e_y),stride_y)
return
end subroutine my_dcopy
subroutine my_daxpy(n,scale_x,vec_x,stride_x,vec_y,stride_y)
! simple wrapper for LAPACKs DDOT to avoid integer overflow
! assumes that stride_x >= stride_y
integer, intent(in) :: n,stride_x,stride_y
real(wp), intent(in) :: vec_x(:),vec_y(:)
real(wp), intent(in) :: scale_x
integer(ip) :: s_x,s_y,e_x,e_y,inc_x,inc_y
integer :: n_pass,n_have,n_need,dcopy_pass
! call daxpy(n,scale_x,vec_x,stride_x,vec_y,stride_y)
! return
! number of values accumulated in one pass
if ( stride_x > stride_y ) then
n_pass = max_regular_int_ / stride_x
if ( mod( max_regular_int_ , stride_x) == 0 ) n_pass = n_pass + 1
else
n_pass = max_regular_int_ / stride_y
if ( mod( max_regular_int_ , stride_y) == 0 ) n_pass = n_pass + 1
end if
! increment in starting index
inc_x = n_pass * stride_x ; inc_y = n_pass * stride_y
! initialize
n_have = 0 ; s_x = 1 ; s_y = 1
! repeated calls to ddot
do dcopy_pass = 1 , n / n_pass
n_have = n_have + n_pass
e_x = s_x + inc_x - 1 ; e_y = s_y + inc_y - 1
call daxpy(n_pass,scale_x,vec_x(s_x:e_x),stride_x,vec_y(s_y:e_y),stride_y)
s_x = s_x + inc_x ; s_y = s_y + inc_y
end do
n_need = n - n_have
if ( n_need == 0 ) return
e_x = s_x + ( n_need - 1 ) * stride_x ; e_y = s_y + ( n_need - 1 ) * stride_y
call daxpy(n_need,scale_x,vec_x(s_x:e_x),stride_x,vec_y(s_y:e_y),stride_y)
return
end subroutine my_daxpy
subroutine my_dscal(n,scale_fac,vec_x,stride_x)
! simple wrapper for LAPACKs DDOT to avoid integer overflow
! assumes that stride_x >= stride_y
integer, intent(in) :: n,stride_x
real(wp), intent(in) :: vec_x(:)
real(wp), intent(in) :: scale_fac
integer(ip) :: s_x,e_x,inc_x
integer :: n_pass,n_have,n_need,dscal_pass
! call dscal(n,scale_fac,vec_tmp,stride_x)
! return
! number of values accumulated in one pass
n_pass = max_regular_int_ / stride_x
if ( mod( max_regular_int_ , stride_x) == 0 ) n_pass = n_pass + 1
! increment in starting index
inc_x = n_pass * stride_x
! initialize
n_have = 0 ; s_x = 1
! repeated calls to ddot
do dscal_pass = 1 , n / n_pass
n_have = n_have + n_pass
e_x = s_x + inc_x - 1
call dscal(n_pass,scale_fac,vec_x(s_x:e_x),stride_x)
s_x = s_x + inc_x
end do
n_need = n - n_have
if ( n_need == 0 ) return
e_x = s_x + ( n_need - 1 ) * stride_x
call dscal(n_need,scale_fac,vec_x(s_x:e_x),stride_x)
return
end subroutine my_dscal
subroutine abort_print(error_code)
implicit none
integer, intent(in) :: error_code
if (error_code == 10) write(*,'(a)')'error encountered in function gather_kappa_block()'
if (error_code == 11) write(*,'(a)')'error encountered in function compute_block_exponential()'
if (error_code == 20) write(*,'(a)')'error encountered in function df_map_setup()'
if (error_code == 30) write(*,'(a)')'error encountered in function transform_oeints()'
if (error_code == 31) write(*,'(a)')'error encountered in function transform_teints()'
if (error_code == 32) write(*,'(a)')'error encountered in function transform_mocoeff()'
if (error_code == 311) write(*,'(a)')'error encountered in function transform_teints_irrep_block()'
if (error_code == 312) write(*,'(a)')'error encountered in function allocate_transform_scr()'
if (error_code == 313) write(*,'(a)')'error encountered in function transform_teints_g0_block()'
if (error_code == 314) write(*,'(a)')'error encountered in function allocate_transform_scr_g0()'
if (error_code == 40) write(*,'(a)')'error encountered in function diagonalize_opdm()'
if (error_code == 50) write(*,'(a)')'error encountered in function transform_mocoeff()'
if (error_code == 510) write(*,'(a)')'error encountered in function precompute_coulomb()'
if (error_code == 511) write(*,'(a)')'error encountered in function compute_gen_fock_block_df() for inactive'
if (error_code == 512) write(*,'(a)')'error encountered in function compute_gen_fock_block_df() for active'
if (error_code == 513) write(*,'(a)')'error encountered in function compute_gen_fock_block_df() for external'
if (error_code == 521) write(*,'(a)')'error encountered in function compute_gen_fock_block() for inactive'
if (error_code == 522) write(*,'(a)')'error encountered in function compute_gen_fock_block() for active'
if (error_code == 523) write(*,'(a)')'error encountered in function compute_gen_fock_block() for external'
if (error_code == 531) write(*,'(a)')'error encountered in function copy_semicanonical_mos_block() for inactive'
if (error_code == 532) write(*,'(a)')'error encountered in function copy_semicanonical_mos_block() for active'
if (error_code == 533) write(*,'(a)')'error encountered in function copy_semicanonical_mos_block() for external'
if (error_code == 541) write(*,'(a)')'error encountered in function diagonalize_gen_fock_block() for inactive'
if (error_code == 542) write(*,'(a)')'error encountered in function diagonalize_gen_fock_block() for active'
if (error_code == 543) write(*,'(a)')'error encountered in function diagonalize_gen_fock_block() for external'
if (error_code == 544) write(*,'(a)')'error encountered in function diagonalize_opdm_block()'
if (error_code == 545) write(*,'(a)')'error encountered in function print_orbital_energies()'
stop
return
end subroutine abort_print
end module focas_data