79 SUBROUTINE mp2_direct_energy(dimen, occ_i, occ_j, mp2_biel, mp2_env, C_i, Auto_i, Emp2, Emp2_Cou, Emp2_ex, &
80 qs_env, para_env, unit_nr, C_j, Auto_j)
81 INTEGER :: dimen, occ_i, occ_j
84 REAL(kind=
dp),
DIMENSION(dimen, dimen) :: c_i
85 REAL(kind=
dp),
DIMENSION(dimen) :: auto_i
86 REAL(kind=
dp) :: emp2, emp2_cou, emp2_ex
90 REAL(kind=
dp),
DIMENSION(dimen, dimen),
OPTIONAL :: c_j
91 REAL(kind=
dp),
DIMENSION(dimen),
OPTIONAL :: auto_j
93 CHARACTER(LEN=*),
PARAMETER :: routinen =
'mp2_direct_energy'
94 REAL(kind=
dp),
PARAMETER ::
zero = 0.d+00
96 INTEGER :: batch_number, color_sub, counter, elements_ij_proc, group_counter, handle, i, &
97 i_batch, i_batch_start, i_group_counter, j, j_batch_start, j_group_counter, last_batch, &
98 max_batch_number, max_batch_size, max_set, minimum_memory_needed, my_batch_size, &
99 my_i_batch_size, my_i_occupied_end, my_i_occupied_start, my_j_batch_size, &
100 my_j_occupied_end, my_j_occupied_start, natom, ni_occupied, nj_occupied, number_groups, &
101 number_i_subset, number_j_subset,
one, sqrt_number_groups, total_i_size_batch_group, &
102 total_j_size_batch_group, virt_i, virt_j
103 INTEGER,
ALLOCATABLE,
DIMENSION(:) :: batch_sizes, batch_sizes_tmp, &
104 vector_batch_i_size_group, &
105 vector_batch_j_size_group
106 INTEGER,
ALLOCATABLE,
DIMENSION(:, :) :: ij_list_proc, ij_list_proc_temp, &
108 LOGICAL :: alpha_beta_case
111 CALL timeset(routinen, handle)
113 alpha_beta_case = .false.
114 IF (
PRESENT(c_j) .AND.
PRESENT(auto_j)) alpha_beta_case = .true.
116 IF (unit_nr > 0 .AND. mp2_env%potential_parameter%potential_type ==
do_potential_tshpsc)
THEN
117 IF (unit_nr > 0)
WRITE (unit_nr,
'(T3,A,T64,F12.6,A5)')
'Truncated MP2 method, Rt=', &
118 mp2_env%potential_parameter%cutoff_radius,
' Bohr'
125 number_groups = para_env%num_pe/mp2_env%mp2_num_proc
126 IF (number_groups*mp2_env%mp2_num_proc /= para_env%num_pe)
THEN
127 cpabort(
" The number of processors needs to be a multiple of the processors per group. ")
129 IF (number_groups > occ_i*occ_j)
THEN
130 IF (unit_nr > 0)
WRITE (unit_nr,
'(T3,A)')
'Number of groups greater then the number of IJ pairs!'
131 IF (unit_nr > 0)
WRITE (unit_nr,
'(T3,A)')
'Consider using more processors per group for improved efficiency'
134 color_sub = para_env%mepos/mp2_env%mp2_num_proc
135 ALLOCATE (para_env_sub)
136 CALL para_env_sub%from_split(para_env, color_sub)
139 max_set =
SIZE(mp2_biel%index_table, 2)
140 minimum_memory_needed = (8*(max_set**4))/1024**2
141 IF (minimum_memory_needed > mp2_env%mp2_memory)
THEN
142 IF (unit_nr > 0)
WRITE (unit_nr,
'(T3,A,T66,F12.6,A3)')
'Memory required below the minimum, new memory:', &
143 minimum_memory_needed,
'MiB'
144 mp2_env%mp2_memory = minimum_memory_needed
150 sqrt_number_groups = int(sqrt(real(number_groups, kind=
dp)))
151 DO i = 1, number_groups
152 IF (mod(number_groups, i) == 0)
THEN
153 IF (sqrt_number_groups/i <= 1)
THEN
159 number_i_subset = number_groups/number_j_subset
161 IF (number_i_subset < number_j_subset)
THEN
162 number_i_subset = number_j_subset
163 number_j_subset = number_groups/number_i_subset
167 total_i_size_batch_group = occ_i/number_i_subset
168 IF (total_i_size_batch_group < 1) total_i_size_batch_group = 1
169 ALLOCATE (vector_batch_i_size_group(0:number_i_subset - 1))
171 vector_batch_i_size_group = 0
172 DO i = 0, number_i_subset - 1
173 vector_batch_i_size_group(i) = total_i_size_batch_group
175 IF (sum(vector_batch_i_size_group) /= occ_i)
THEN
177 IF (sum(vector_batch_i_size_group) > occ_i)
one = -1
181 vector_batch_i_size_group(i) = vector_batch_i_size_group(i) +
one
182 IF (sum(vector_batch_i_size_group) == occ_i)
EXIT
183 IF (i == number_i_subset - 1) i = -1
187 total_j_size_batch_group = occ_j/number_j_subset
188 IF (total_j_size_batch_group < 1) total_j_size_batch_group = 1
189 ALLOCATE (vector_batch_j_size_group(0:number_j_subset - 1))
191 vector_batch_j_size_group = 0
192 DO i = 0, number_j_subset - 1
193 vector_batch_j_size_group(i) = total_j_size_batch_group
195 IF (sum(vector_batch_j_size_group) /= occ_j)
THEN
197 IF (sum(vector_batch_j_size_group) > occ_j)
one = -1
201 vector_batch_j_size_group(i) = vector_batch_j_size_group(i) +
one
202 IF (sum(vector_batch_j_size_group) == occ_j)
EXIT
203 IF (i == number_j_subset - 1) i = -1
210 my_i_occupied_start = 1
211 DO i = 0, number_i_subset - 1
212 my_j_occupied_start = 1
214 DO j = 0, number_j_subset - 1
215 group_counter = group_counter + 1
216 IF (color_sub == group_counter - 1)
EXIT
217 my_j_occupied_start = my_j_occupied_start + vector_batch_j_size_group(j)
218 j_group_counter = j_group_counter + 1
220 IF (color_sub == group_counter - 1)
EXIT
221 my_i_occupied_start = my_i_occupied_start + vector_batch_i_size_group(i)
222 i_group_counter = i_group_counter + 1
224 my_i_occupied_end = my_i_occupied_start + vector_batch_i_size_group(i_group_counter) - 1
225 my_i_batch_size = vector_batch_i_size_group(i_group_counter)
226 my_j_occupied_end = my_j_occupied_start + vector_batch_j_size_group(j_group_counter) - 1
227 my_j_batch_size = vector_batch_j_size_group(j_group_counter)
229 DEALLOCATE (vector_batch_i_size_group)
230 DEALLOCATE (vector_batch_j_size_group)
232 max_batch_size = min( &
234 int(mp2_env%mp2_memory*int(1024, kind=
int_8)**2/ &
235 (8*(2*dimen - occ_i)*int(dimen, kind=
int_8)*my_j_batch_size/para_env_sub%num_pe))) &
237 IF (max_batch_size < 1)
THEN
238 max_batch_size = int((8*(occ_i + 1)*int(dimen, kind=
int_8)**2/para_env%num_pe)/1024**2)
239 IF (unit_nr > 0)
WRITE (unit_nr,
'(T3,A,T72,I6,A3)')
'More memory required, at least:', max_batch_size,
'MiB'
244 my_batch_size = my_i_batch_size
245 ALLOCATE (batch_sizes(my_batch_size))
247 batch_sizes = -huge(0)
249 DO i = 1, my_batch_size
250 IF (i*max_batch_size > my_batch_size)
EXIT
251 batch_number = batch_number + 1
252 batch_sizes(i) = max_batch_size
254 last_batch = my_batch_size - max_batch_size*batch_number
255 IF (last_batch > 0)
THEN
256 batch_number = batch_number + 1
257 batch_sizes(batch_number) = last_batch
260 ALLOCATE (batch_sizes_tmp(batch_number))
261 batch_sizes_tmp(1:batch_number) = batch_sizes(1:batch_number)
262 DEALLOCATE (batch_sizes)
263 ALLOCATE (batch_sizes(batch_number))
264 batch_sizes(:) = batch_sizes_tmp
265 DEALLOCATE (batch_sizes_tmp)
267 max_batch_size = maxval(batch_sizes)
268 CALL para_env%max(max_batch_size)
269 max_batch_number = batch_number
270 CALL para_env%max(max_batch_number)
271 IF (unit_nr > 0)
THEN
272 WRITE (unit_nr,
'(T3,A,T76,I5)')
'Maximum used batch size: ', max_batch_size
273 WRITE (unit_nr,
'(T3,A,T76,I5)')
'Number of integral recomputations: ', max_batch_number
278 cpassert(sum(batch_sizes) <= my_batch_size)
280 virt_i = dimen - occ_i
281 virt_j = dimen - occ_j
282 natom =
SIZE(mp2_biel%index_table, 1)
288 i_batch_start = my_i_occupied_start - 1
289 j_batch_start = my_j_occupied_start - 1
290 nj_occupied = my_j_batch_size
291 DO i_batch = 1, batch_number
293 ni_occupied = batch_sizes(i_batch)
296 ALLOCATE (ij_matrix(ni_occupied, nj_occupied))
299 DO i = 1, ni_occupied
300 DO j = 1, nj_occupied
301 counter = counter + 1
302 IF (mod(counter, para_env_sub%num_pe) == para_env_sub%mepos)
THEN
303 ij_matrix(i, j) = ij_matrix(i, j) + 1
308 ALLOCATE (ij_list_proc_temp(ni_occupied*occ_j, 2))
311 DO i = 1, ni_occupied
312 DO j = 1, nj_occupied
313 IF (ij_matrix(i, j) == 0) cycle
314 elements_ij_proc = elements_ij_proc + 1
315 ij_list_proc_temp(elements_ij_proc, 1) = i
316 ij_list_proc_temp(elements_ij_proc, 2) = j
319 DEALLOCATE (ij_matrix)
321 ALLOCATE (ij_list_proc(elements_ij_proc, 2))
322 DO i = 1, elements_ij_proc
323 ij_list_proc(i, 1) = ij_list_proc_temp(i, 1)
324 ij_list_proc(i, 2) = ij_list_proc_temp(i, 2)
326 DEALLOCATE (ij_list_proc_temp)
328 IF (.NOT. alpha_beta_case)
THEN
330 mp2_biel, dimen, c_i, auto_i, i_batch_start, ni_occupied, occ_i, &
331 elements_ij_proc, ij_list_proc, nj_occupied, j_batch_start)
334 mp2_biel, dimen, c_i, auto_i, i_batch_start, ni_occupied, occ_i, &
335 elements_ij_proc, ij_list_proc, nj_occupied, j_batch_start, &
339 i_batch_start = i_batch_start + ni_occupied
341 DEALLOCATE (ij_list_proc)
345 CALL para_env%sum(emp2_cou)
346 CALL para_env%sum(emp2_ex)
347 CALL para_env%sum(emp2)
351 CALL timestop(handle)
383 mp2_biel, dimen, C, Auto, i_batch_start, Ni_occupied, &
384 occupied, elements_ij_proc, ij_list_proc, Nj_occupied, j_batch_start, &
385 occupied_beta, C_beta, Auto_beta, Integ_MP2)
387 REAL(kind=
dp),
INTENT(INOUT) :: emp2, emp2_cou, emp2_ex
392 INTEGER,
INTENT(IN) :: dimen
393 REAL(kind=
dp),
DIMENSION(dimen, dimen),
INTENT(IN) :: c
394 REAL(kind=
dp),
DIMENSION(dimen),
INTENT(IN) :: auto
395 INTEGER,
INTENT(IN) :: i_batch_start, ni_occupied, occupied, &
397 INTEGER,
DIMENSION(elements_ij_proc, 2), &
398 INTENT(IN) :: ij_list_proc
399 INTEGER,
INTENT(IN) :: nj_occupied, j_batch_start
400 INTEGER,
INTENT(IN),
OPTIONAL :: occupied_beta
401 REAL(kind=
dp),
DIMENSION(dimen, dimen), &
402 INTENT(IN),
OPTIONAL :: c_beta
403 REAL(kind=
dp),
DIMENSION(dimen),
INTENT(IN), &
404 OPTIONAL :: auto_beta
405 REAL(kind=
dp),
ALLOCATABLE, &
406 DIMENSION(:, :, :, :),
INTENT(OUT),
OPTIONAL :: integ_mp2
408 CHARACTER(LEN=*),
PARAMETER :: routinen =
'mp2_canonical_direct_single_batch'
410 INTEGER :: case_index, counter_proc, elements_ij_proc_rec, elements_kl_proc, global_counter, &
411 handle, i, i_list_ij, i_list_kl, i_set_list_ij, i_set_list_ij_start, i_set_list_ij_stop, &
412 i_set_list_kl, i_set_list_kl_start, i_set_list_kl_stop, i_start, iatom, iatom_end, &
413 iatom_start, iib, ij_elem_max, ikind, index_ij_rec, index_ij_send, index_kl, &
414 index_proc_ij, index_proc_shift, iset, jatom, jatom_end, jatom_start, jjb, jkind, jset, &
415 katom, katom_end, katom_start, kkb, kkind, kset, latom, latom_end, latom_start, lkind, &
416 llb, lset, max_num_call_sec_transf, max_pgf, max_set, multiple
417 INTEGER :: my_num_call_sec_transf, natom, ncob, nints, nseta, nsetb, nsgf_max, nspins, &
418 primitive_counter, proc_num, proc_receive, proc_send, r_offset_rec, rsize_rec, &
419 s_offset_rec, same_size_kl_index, sphi_a_u1, sphi_a_u2, sphi_a_u3, sphi_b_u1, sphi_b_u2, &
420 sphi_b_u3, sphi_c_u1, sphi_c_u2, sphi_c_u3, sphi_d_u1, sphi_d_u2, sphi_d_u3, ssize_rec, &
421 step_size, total_num_rs_task
422 INTEGER(int_8) :: estimate_to_store_int, neris_tmp, &
423 neris_total, nprim_ints
424 INTEGER,
ALLOCATABLE,
DIMENSION(:) :: kind_of, nimages, proc_num_task, &
425 same_size_kl_elements_counter
426 INTEGER,
ALLOCATABLE,
DIMENSION(:, :) :: kl_list_proc, task_counter_rs, &
428 INTEGER,
DIMENSION(4) :: rs_counter_temp
429 INTEGER,
DIMENSION(5) :: size_parameter_rec, size_parameter_send
430 INTEGER,
DIMENSION(:),
POINTER :: la_max, la_min, lb_max, lb_min, lc_max, &
431 lc_min, ld_max, ld_min, npgfa, npgfb, &
432 npgfc, npgfd, nsgfa, nsgfb, nsgfc, &
434 INTEGER,
DIMENSION(:, :),
POINTER :: nsgfl_a, nsgfl_b, nsgfl_c, nsgfl_d
435 LOGICAL :: alpha_beta_case, case_send_receive, &
436 copy_integrals, do_periodic
437 LOGICAL,
DIMENSION(:, :),
POINTER :: shm_atomic_pair_list
438 REAL(kind=
dp) :: cartesian_estimate, coeffs_kind_max0, cost_tmp, eps_schwarz, ln_10, &
439 log10_eps_schwarz, log10_pmax, max_contraction_val, max_val1, max_val2, max_val2_set, &
440 pmax_atom, pmax_entry, ra(3), rab2, rb(3), rc(3), rcd2, rd(3), screen_kind_ij, &
442 REAL(kind=
dp),
ALLOCATABLE,
DIMENSION(:) :: cost_rs, cost_rs_temp, ee_buffer1, &
443 ee_buffer2, ee_primitives_tmp, &
444 ee_work, ee_work2, primitive_integrals
445 REAL(kind=
dp),
ALLOCATABLE,
DIMENSION(:, :) :: bib_rs_mat_rec, c_beta_t, max_contraction
446 REAL(kind=
dp),
ALLOCATABLE,
DIMENSION(:, :, :) :: bib, bib_rs_mat_rec_big, zero_mat_big
447 REAL(kind=
dp),
ALLOCATABLE,
DIMENSION(:, :, :, :) :: bi1, mnrs
448 REAL(kind=
dp),
DIMENSION(:),
POINTER :: p_work
449 REAL(kind=
dp),
DIMENSION(:, :),
POINTER :: shm_pmax_block, zeta, zetb, zetc, zetd
450 REAL(kind=
dp),
DIMENSION(:, :, :),
POINTER :: sphi_a_ext_set, sphi_b_ext_set, &
451 sphi_c_ext_set, sphi_d_ext_set
452 REAL(kind=
dp),
DIMENSION(:, :, :, :),
POINTER :: sphi_a_ext, sphi_b_ext, sphi_c_ext, &
454 REAL(kind=
dp),
DIMENSION(dimen, 2) :: zero_mat
455 REAL(kind=
dp),
DIMENSION(dimen, dimen) :: c_t
460 TYPE(
hfx_pgf_list),
ALLOCATABLE,
DIMENSION(:) :: pgf_list_ij, pgf_list_kl
462 DIMENSION(:) :: pgf_product_list
465 POINTER :: screen_coeffs_kind, tmp_r_1, tmp_r_2, &
466 tmp_screen_pgf1, tmp_screen_pgf2
468 DIMENSION(:, :, :, :),
POINTER :: screen_coeffs_set
470 DIMENSION(:, :, :, :, :, :),
POINTER :: radii_pgf, screen_coeffs_pgf
471 TYPE(
hfx_type),
POINTER :: actual_x_data
474 DIMENSION(:) :: set_list_ij, set_list_kl
477 CALL timeset(routinen, handle)
483 copy_integrals = .false.
484 IF (
PRESENT(integ_mp2)) copy_integrals = .true.
486 alpha_beta_case = .false.
488 CALL prepare_integral_calc(cell, qs_env, mp2_env, para_env, mp2_potential_parameter, actual_x_data, &
489 do_periodic, basis_parameter, max_set, particle_set, natom, kind_of, &
490 nsgf_max, primitive_integrals, ee_work, ee_work2, ee_buffer1, ee_buffer2, &
491 ee_primitives_tmp, nspins, max_contraction, max_pgf, pgf_list_ij, &
492 pgf_list_kl, pgf_product_list, nimages, eps_schwarz, log10_eps_schwarz, &
493 private_lib, p_work, screen_coeffs_set, screen_coeffs_kind, screen_coeffs_pgf, &
499 neris_total = 0_int_8
503 ALLOCATE (list_ij%elements(natom**2))
504 ALLOCATE (list_kl%elements(natom**2))
507 coeffs_kind_max0 = maxval(screen_coeffs_kind(:, :)%x(2))
508 ALLOCATE (set_list_ij((max_set*natom)**2))
509 ALLOCATE (set_list_kl((max_set*natom)**2))
512 actual_x_data%pmax_block = 0.0_dp
513 shm_pmax_block => actual_x_data%pmax_block
515 shm_atomic_pair_list => actual_x_data%atomic_pair_list
527 jatom_start, jatom_end, &
528 kind_of, basis_parameter, particle_set, &
529 do_periodic, screen_coeffs_set, screen_coeffs_kind, &
530 coeffs_kind_max0, log10_eps_schwarz, cell, 0.d+00, &
531 shm_atomic_pair_list)
534 latom_start, latom_end, &
535 kind_of, basis_parameter, particle_set, &
536 do_periodic, screen_coeffs_set, screen_coeffs_kind, &
537 coeffs_kind_max0, log10_eps_schwarz, cell, 0.d+00, &
538 shm_atomic_pair_list)
540 ALLOCATE (bib(dimen, dimen, elements_ij_proc))
544 IF (
PRESENT(occupied_beta) .AND.
PRESENT(c_beta) .AND.
PRESENT(auto_beta))
THEN
545 ALLOCATE (c_beta_t(dimen, dimen))
546 c_beta_t(:, :) = transpose(c_beta)
547 alpha_beta_case = .true.
550 ij_elem_max = elements_ij_proc
551 CALL para_env%max(ij_elem_max)
557 multiple = multiple + para_env%num_pe
558 IF (multiple >= ni_occupied*nj_occupied)
EXIT
564 ALLOCATE (proc_num_task(0:para_env%num_pe - 1))
569 DO i_list_ij = 1, list_ij%n_element
570 iatom = list_ij%elements(i_list_ij)%pair(1)
571 jatom = list_ij%elements(i_list_ij)%pair(2)
572 i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
573 i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
574 ikind = list_ij%elements(i_list_ij)%kind_pair(1)
575 jkind = list_ij%elements(i_list_ij)%kind_pair(2)
577 nsgfb => basis_parameter(jkind)%nsgf
578 nsgfa => basis_parameter(ikind)%nsgf
580 DO i_set_list_ij = i_set_list_ij_start, i_set_list_ij_stop
581 iset = set_list_ij(i_set_list_ij)%pair(1)
582 jset = set_list_ij(i_set_list_ij)%pair(2)
583 IF (iatom == jatom .AND. jset < iset) cycle
585 counter_proc = counter_proc + 1
586 proc_num = mod(counter_proc, para_env%num_pe)
588 proc_num_task(proc_num) = proc_num_task(proc_num) + 1
597 ALLOCATE (kl_list_proc(proc_num_task(para_env%mepos), 3))
603 DO i_list_ij = 1, list_ij%n_element
604 iatom = list_ij%elements(i_list_ij)%pair(1)
605 jatom = list_ij%elements(i_list_ij)%pair(2)
606 i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
607 i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
608 ikind = list_ij%elements(i_list_ij)%kind_pair(1)
609 jkind = list_ij%elements(i_list_ij)%kind_pair(2)
611 nsgfb => basis_parameter(jkind)%nsgf
612 nsgfa => basis_parameter(ikind)%nsgf
614 DO i_set_list_ij = i_set_list_ij_start, i_set_list_ij_stop
615 iset = set_list_ij(i_set_list_ij)%pair(1)
616 jset = set_list_ij(i_set_list_ij)%pair(2)
617 IF (iatom == jatom .AND. jset < iset) cycle
619 counter_proc = counter_proc + 1
620 proc_num = mod(counter_proc, para_env%num_pe)
622 IF (proc_num == para_env%mepos)
THEN
623 elements_kl_proc = elements_kl_proc + 1
624 kl_list_proc(elements_kl_proc, 1) = i_list_ij
625 kl_list_proc(elements_kl_proc, 2) = i_set_list_ij
626 kl_list_proc(elements_kl_proc, 3) = counter_proc
632 total_num_rs_task = sum(proc_num_task)
633 ALLOCATE (task_counter_rs(total_num_rs_task, 4))
635 ALLOCATE (cost_rs(total_num_rs_task))
642 my_num_call_sec_transf = 0
643 DO index_kl = 1, elements_kl_proc
645 i_list_ij = kl_list_proc(index_kl, 1)
646 i_set_list_ij = kl_list_proc(index_kl, 2)
648 iatom = list_ij%elements(i_list_ij)%pair(1)
649 jatom = list_ij%elements(i_list_ij)%pair(2)
650 i_set_list_ij_start = list_ij%elements(i_list_ij)%set_bounds(1)
651 i_set_list_ij_stop = list_ij%elements(i_list_ij)%set_bounds(2)
652 ikind = list_ij%elements(i_list_ij)%kind_pair(1)
653 jkind = list_ij%elements(i_list_ij)%kind_pair(2)
654 ra = list_ij%elements(i_list_ij)%r1
655 rb = list_ij%elements(i_list_ij)%r2
656 rab2 = list_ij%elements(i_list_ij)%dist2
658 la_max => basis_parameter(ikind)%lmax
659 la_min => basis_parameter(ikind)%lmin
660 npgfa => basis_parameter(ikind)%npgf
661 nseta = basis_parameter(ikind)%nset
662 zeta => basis_parameter(ikind)%zet
663 nsgfa => basis_parameter(ikind)%nsgf
664 sphi_a_ext => basis_parameter(ikind)%sphi_ext(:, :, :, :)
665 nsgfl_a => basis_parameter(ikind)%nsgfl
666 sphi_a_u1 = ubound(sphi_a_ext, 1)
667 sphi_a_u2 = ubound(sphi_a_ext, 2)
668 sphi_a_u3 = ubound(sphi_a_ext, 3)
670 lb_max => basis_parameter(jkind)%lmax
671 lb_min => basis_parameter(jkind)%lmin
672 npgfb => basis_parameter(jkind)%npgf
673 nsetb = basis_parameter(jkind)%nset
674 zetb => basis_parameter(jkind)%zet
675 nsgfb => basis_parameter(jkind)%nsgf
676 sphi_b_ext => basis_parameter(jkind)%sphi_ext(:, :, :, :)
677 nsgfl_b => basis_parameter(jkind)%nsgfl
678 sphi_b_u1 = ubound(sphi_b_ext, 1)
679 sphi_b_u2 = ubound(sphi_b_ext, 2)
680 sphi_b_u3 = ubound(sphi_b_ext, 3)
682 iset = set_list_ij(i_set_list_ij)%pair(1)
683 jset = set_list_ij(i_set_list_ij)%pair(2)
685 ncob = npgfb(jset)*
ncoset(lb_max(jset))
686 max_val1 = screen_coeffs_set(jset, iset, jkind, ikind)%x(1)*rab2 + &
687 screen_coeffs_set(jset, iset, jkind, ikind)%x(2)
689 sphi_a_ext_set => sphi_a_ext(:, :, :, iset)
690 sphi_b_ext_set => sphi_b_ext(:, :, :, jset)
692 IF (case_index == 1)
THEN
693 global_counter = kl_list_proc(index_kl, 3)
694 task_counter_rs(global_counter, 1) = i_list_ij
695 task_counter_rs(global_counter, 2) = i_set_list_ij
696 task_counter_rs(global_counter, 3) = nsgfb(jset)*nsgfa(iset)
699 IF (
ALLOCATED(bi1))
DEALLOCATE (bi1)
700 ALLOCATE (bi1(dimen, ni_occupied, nsgfb(jset), nsgfa(iset)))
704 DO i_list_kl = 1, list_kl%n_element
706 katom = list_kl%elements(i_list_kl)%pair(1)
707 latom = list_kl%elements(i_list_kl)%pair(2)
709 i_set_list_kl_start = list_kl%elements(i_list_kl)%set_bounds(1)
710 i_set_list_kl_stop = list_kl%elements(i_list_kl)%set_bounds(2)
711 kkind = list_kl%elements(i_list_kl)%kind_pair(1)
712 lkind = list_kl%elements(i_list_kl)%kind_pair(2)
713 rc = list_kl%elements(i_list_kl)%r1
714 rd = list_kl%elements(i_list_kl)%r2
715 rcd2 = list_kl%elements(i_list_kl)%dist2
719 screen_kind_ij = screen_coeffs_kind(jkind, ikind)%x(1)*rab2 + &
720 screen_coeffs_kind(jkind, ikind)%x(2)
721 screen_kind_kl = screen_coeffs_kind(lkind, kkind)%x(1)*rcd2 + &
722 screen_coeffs_kind(lkind, kkind)%x(2)
725 IF (max_val1 + screen_kind_kl + pmax_atom < log10_eps_schwarz) cycle
727 IF (screen_kind_ij + screen_kind_kl + pmax_atom < log10_eps_schwarz) cycle
729 lc_max => basis_parameter(kkind)%lmax
730 lc_min => basis_parameter(kkind)%lmin
731 npgfc => basis_parameter(kkind)%npgf
732 zetc => basis_parameter(kkind)%zet
733 nsgfc => basis_parameter(kkind)%nsgf
734 sphi_c_ext => basis_parameter(kkind)%sphi_ext(:, :, :, :)
735 nsgfl_c => basis_parameter(kkind)%nsgfl
736 sphi_c_u1 = ubound(sphi_c_ext, 1)
737 sphi_c_u2 = ubound(sphi_c_ext, 2)
738 sphi_c_u3 = ubound(sphi_c_ext, 3)
740 ld_max => basis_parameter(lkind)%lmax
741 ld_min => basis_parameter(lkind)%lmin
742 npgfd => basis_parameter(lkind)%npgf
743 zetd => basis_parameter(lkind)%zet
744 nsgfd => basis_parameter(lkind)%nsgf
745 sphi_d_ext => basis_parameter(lkind)%sphi_ext(:, :, :, :)
746 nsgfl_d => basis_parameter(lkind)%nsgfl
747 sphi_d_u1 = ubound(sphi_d_ext, 1)
748 sphi_d_u2 = ubound(sphi_d_ext, 2)
749 sphi_d_u3 = ubound(sphi_d_ext, 3)
751 DO i_set_list_kl = i_set_list_kl_start, i_set_list_kl_stop
752 kset = set_list_kl(i_set_list_kl)%pair(1)
753 lset = set_list_kl(i_set_list_kl)%pair(2)
755 IF (katom == latom .AND. lset < kset) cycle
757 max_val2_set = (screen_coeffs_set(lset, kset, lkind, kkind)%x(1)*rcd2 + &
758 screen_coeffs_set(lset, kset, lkind, kkind)%x(2))
759 max_val2 = max_val1 + max_val2_set
762 IF (max_val2 + pmax_atom < log10_eps_schwarz) cycle
763 sphi_c_ext_set => sphi_c_ext(:, :, :, kset)
764 sphi_d_ext_set => sphi_d_ext(:, :, :, lset)
768 log10_pmax = pmax_entry
769 max_val2 = max_val2 + log10_pmax
770 IF (max_val2 < log10_eps_schwarz) cycle
771 pmax_entry = exp(log10_pmax*ln_10)
773 IF (case_index == 2)
THEN
774 IF (
ALLOCATED(mnrs))
DEALLOCATE (mnrs)
775 ALLOCATE (mnrs(nsgfd(lset), nsgfc(kset), nsgfb(jset), nsgfa(iset)))
779 max_contraction_val = max_contraction(iset, iatom)* &
780 max_contraction(jset, jatom)* &
781 max_contraction(kset, katom)* &
782 max_contraction(lset, latom)*pmax_entry
783 tmp_r_1 => radii_pgf(:, :, jset, iset, jkind, ikind)
784 tmp_r_2 => radii_pgf(:, :, lset, kset, lkind, kkind)
785 tmp_screen_pgf1 => screen_coeffs_pgf(:, :, jset, iset, jkind, ikind)
786 tmp_screen_pgf2 => screen_coeffs_pgf(:, :, lset, kset, lkind, kkind)
788 CALL coulomb4(private_lib, ra, rb, rc, rd, npgfa(iset), npgfb(jset), npgfc(kset), npgfd(lset), &
789 la_min(iset), la_max(iset), lb_min(jset), lb_max(jset), &
790 lc_min(kset), lc_max(kset), ld_min(lset), ld_max(lset), &
791 nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
792 sphi_a_u1, sphi_a_u2, sphi_a_u3, &
793 sphi_b_u1, sphi_b_u2, sphi_b_u3, &
794 sphi_c_u1, sphi_c_u2, sphi_c_u3, &
795 sphi_d_u1, sphi_d_u2, sphi_d_u3, &
796 zeta(1:npgfa(iset), iset), zetb(1:npgfb(jset), jset), &
797 zetc(1:npgfc(kset), kset), zetd(1:npgfd(lset), lset), &
798 primitive_integrals, &
799 mp2_potential_parameter, &
800 actual_x_data%neighbor_cells, screen_coeffs_set(jset, iset, jkind, ikind)%x, &
801 screen_coeffs_set(lset, kset, lkind, kkind)%x, eps_schwarz, &
802 max_contraction_val, cartesian_estimate, cell, neris_tmp, &
803 log10_pmax, log10_eps_schwarz, &
804 tmp_r_1, tmp_r_2, tmp_screen_pgf1, tmp_screen_pgf2, &
805 pgf_list_ij, pgf_list_kl, pgf_product_list, &
806 nsgfl_a(:, iset), nsgfl_b(:, jset), &
807 nsgfl_c(:, kset), nsgfl_d(:, lset), &
812 ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp, &
813 nimages, do_periodic, p_work)
815 nints = nsgfa(iset)*nsgfb(jset)*nsgfc(kset)*nsgfd(lset)
816 neris_total = neris_total + nints
817 nprim_ints = nprim_ints + neris_tmp
818 IF (cartesian_estimate == 0.0_dp) cartesian_estimate = tiny(cartesian_estimate)
819 estimate_to_store_int = exponent(cartesian_estimate)
820 estimate_to_store_int = max(estimate_to_store_int, -15_int_8)
821 cartesian_estimate = set_exponent(1.0_dp, estimate_to_store_int + 1)
823 IF (cartesian_estimate < eps_schwarz) cycle
825 primitive_counter = 0
826 DO llb = 1, nsgfd(lset)
827 DO kkb = 1, nsgfc(kset)
828 DO jjb = 1, nsgfb(jset)
829 DO iib = 1, nsgfa(iset)
830 primitive_counter = primitive_counter + 1
831 mnrs(llb, kkb, jjb, iib) = primitive_integrals(primitive_counter)
837 CALL transform_occupied_orbitals_first(dimen, iatom, jatom, katom, latom, &
838 iset, jset, kset, lset, &
839 nsgfa(iset), nsgfb(jset), nsgfc(kset), nsgfd(lset), &
840 i_batch_start, ni_occupied, &
841 mnrs, c_t, mp2_biel, bi1)
843 task_counter_rs(global_counter, 4) = task_counter_rs(global_counter, 4) + 1
846 cost_tmp =
cost_model(nsgfd(lset), nsgfc(kset), nsgfb(jset), nsgfa(iset), &
847 npgfd(lset), npgfc(kset), npgfb(jset), npgfa(iset), &
848 max_val2/log10_eps_schwarz, &
850 cost_rs(global_counter) = cost_rs(global_counter) + cost_tmp
856 IF (case_index == 2)
THEN
857 my_num_call_sec_transf = my_num_call_sec_transf + 1
858 IF (.NOT. alpha_beta_case)
THEN
859 IF (.NOT. mp2_env%direct_canonical%big_send)
THEN
860 CALL transform_occupied_orbitals_second(dimen, iatom, jatom, iset, jset, &
861 nsgfa(iset), nsgfb(jset), ni_occupied, nj_occupied, j_batch_start, &
862 bi1, c_t, mp2_biel, para_env, elements_ij_proc, &
865 CALL transform_occupied_orbitals_second_big( &
866 dimen, iatom, jatom, iset, jset, &
867 nsgfa(iset), nsgfb(jset), ni_occupied, nj_occupied, j_batch_start, &
868 ij_elem_max, bi1, c_t, mp2_biel, para_env, elements_ij_proc, bib)
871 IF (.NOT. mp2_env%direct_canonical%big_send)
THEN
872 CALL transform_occupied_orbitals_second(dimen, iatom, jatom, iset, jset, &
873 nsgfa(iset), nsgfb(jset), ni_occupied, nj_occupied, j_batch_start, &
874 bi1, c_beta_t, mp2_biel, para_env, elements_ij_proc, &
877 CALL transform_occupied_orbitals_second_big( &
878 dimen, iatom, jatom, iset, jset, &
879 nsgfa(iset), nsgfb(jset), ni_occupied, nj_occupied, j_batch_start, &
880 ij_elem_max, bi1, c_beta_t, mp2_biel, para_env, elements_ij_proc, bib)
887 IF (case_index == 1)
THEN
888 CALL para_env%sum(task_counter_rs)
889 CALL para_env%sum(cost_rs)
890 ALLOCATE (task_counter_rs_temp(total_num_rs_task, 4))
892 ALLOCATE (cost_rs_temp(total_num_rs_task))
895 ALLOCATE (same_size_kl_elements_counter((nsgf_max**2 + 1)/step_size + 1))
897 same_size_kl_elements_counter = 0
899 same_size_kl_index = 0
901 DO iib = nsgf_max**2 + 1, 0, -step_size
902 DO jjb = 1, total_num_rs_task
903 IF (task_counter_rs(jjb, 3) > iib - step_size .AND. task_counter_rs(jjb, 3) <= iib)
THEN
904 global_counter = global_counter + 1
905 task_counter_rs_temp(global_counter, 1:4) = task_counter_rs(jjb, 1:4)
906 cost_rs_temp(global_counter) = cost_rs(jjb)
909 same_size_kl_index = same_size_kl_index + 1
910 same_size_kl_elements_counter(same_size_kl_index) = global_counter
913 DEALLOCATE (task_counter_rs)
917 DO same_size_kl_index = 1,
SIZE(same_size_kl_elements_counter)
918 DO iib = i_start, same_size_kl_elements_counter(same_size_kl_index)
919 DO jjb = iib + 1, same_size_kl_elements_counter(same_size_kl_index)
921 IF (cost_rs_temp(jjb) >= cost_rs_temp(iib))
THEN
922 rs_counter_temp = task_counter_rs_temp(iib, 1:4)
923 task_counter_rs_temp(iib, 1:4) = task_counter_rs_temp(jjb, 1:4)
924 task_counter_rs_temp(jjb, 1:4) = rs_counter_temp
926 cost_tmp = cost_rs_temp(iib)
927 cost_rs_temp(iib) = cost_rs_temp(jjb)
928 cost_rs_temp(jjb) = cost_tmp
932 i_start = same_size_kl_elements_counter(same_size_kl_index) + 1
936 DO counter_proc = 1, total_num_rs_task
937 proc_num = mod(counter_proc, para_env%num_pe)
938 proc_num_task(proc_num) = proc_num_task(proc_num) + 1
941 max_num_call_sec_transf = maxval(proc_num_task)
943 DEALLOCATE (kl_list_proc)
944 ALLOCATE (kl_list_proc(proc_num_task(para_env%mepos), 2))
949 DO counter_proc = 1, total_num_rs_task
950 proc_num = mod(counter_proc, para_env%num_pe)
951 IF (proc_num == para_env%mepos)
THEN
952 elements_kl_proc = elements_kl_proc + 1
953 kl_list_proc(elements_kl_proc, 1) = task_counter_rs_temp(counter_proc, 1)
954 kl_list_proc(elements_kl_proc, 2) = task_counter_rs_temp(counter_proc, 2)
958 DEALLOCATE (task_counter_rs_temp)
959 DEALLOCATE (cost_rs_temp)
963 size_parameter_send(1) = 1
964 size_parameter_send(2) = 1
965 size_parameter_send(3) = 0
966 size_parameter_send(4) = 0
967 size_parameter_send(5) = elements_ij_proc
969 IF (mp2_env%direct_canonical%big_send)
THEN
970 ALLOCATE (zero_mat_big(dimen, 2, ij_elem_max))
974 DO iib = my_num_call_sec_transf + 1, max_num_call_sec_transf
975 DO index_proc_shift = 0, para_env%num_pe - 1
977 proc_send =
modulo(para_env%mepos + index_proc_shift, para_env%num_pe)
978 proc_receive =
modulo(para_env%mepos - index_proc_shift, para_env%num_pe)
980 case_send_receive = (proc_send /= para_env%mepos)
982 IF (case_send_receive)
THEN
985 CALL para_env%sendrecv(size_parameter_send, proc_send, size_parameter_rec, proc_receive)
987 rsize_rec = size_parameter_rec(1)
988 ssize_rec = size_parameter_rec(2)
989 r_offset_rec = size_parameter_rec(3)
990 s_offset_rec = size_parameter_rec(4)
991 elements_ij_proc_rec = size_parameter_rec(5)
992 IF (.NOT. mp2_env%direct_canonical%big_send)
THEN
993 ALLOCATE (bib_rs_mat_rec(dimen, rsize_rec + ssize_rec))
995 ALLOCATE (bib_rs_mat_rec_big(dimen, rsize_rec + ssize_rec, ij_elem_max))
998 elements_ij_proc_rec = elements_ij_proc
1001 IF (.NOT. mp2_env%direct_canonical%big_send)
THEN
1004 DO index_proc_ij = proc_send + 1, multiple, para_env%num_pe
1008 IF (case_send_receive)
THEN
1010 CALL para_env%sendrecv(zero_mat, proc_send, bib_rs_mat_rec, proc_receive)
1012 index_ij_rec = index_ij_rec + 1
1013 IF (index_ij_rec <= elements_ij_proc .AND. elements_ij_proc > 0)
THEN
1015 bib(1:dimen, r_offset_rec + 1:r_offset_rec + rsize_rec, index_ij_rec) = &
1016 bib(1:dimen, r_offset_rec + 1:r_offset_rec + rsize_rec, index_ij_rec) + &
1017 bib_rs_mat_rec(1:dimen, 1:rsize_rec)
1019 bib(1:dimen, s_offset_rec + 1:s_offset_rec + ssize_rec, index_ij_rec) = &
1020 bib(1:dimen, s_offset_rec + 1:s_offset_rec + ssize_rec, index_ij_rec) + &
1021 bib_rs_mat_rec(1:dimen, rsize_rec + 1:rsize_rec + ssize_rec)
1028 zero_mat_big = 0.d+00
1030 IF (case_send_receive)
THEN
1032 CALL para_env%sendrecv(zero_mat_big, proc_send, bib_rs_mat_rec_big, proc_receive)
1034 bib(1:dimen, r_offset_rec + 1:r_offset_rec + rsize_rec, 1:elements_ij_proc) = &
1035 bib(1:dimen, r_offset_rec + 1:r_offset_rec + rsize_rec, 1:elements_ij_proc) + &
1036 bib_rs_mat_rec_big(1:dimen, 1:rsize_rec, 1:elements_ij_proc)
1038 bib(1:dimen, s_offset_rec + 1:s_offset_rec + ssize_rec, 1:elements_ij_proc) = &
1039 bib(1:dimen, s_offset_rec + 1:s_offset_rec + ssize_rec, 1:elements_ij_proc) + &
1040 bib_rs_mat_rec_big(1:dimen, rsize_rec + 1:rsize_rec + ssize_rec, 1:elements_ij_proc)
1045 IF (case_send_receive)
THEN
1046 IF (.NOT. mp2_env%direct_canonical%big_send)
THEN
1047 DEALLOCATE (bib_rs_mat_rec)
1049 DEALLOCATE (bib_rs_mat_rec_big)
1056 IF (mp2_env%direct_canonical%big_send)
THEN
1057 DEALLOCATE (zero_mat_big)
1062 DEALLOCATE (primitive_integrals)
1064 IF (.NOT. alpha_beta_case)
THEN
1065 CALL transform_virtual_orbitals_and_accumulate(dimen, occupied, dimen - occupied, i_batch_start, &
1066 j_batch_start, bib, c, auto, elements_ij_proc, ij_list_proc, &
1067 nspins, emp2, emp2_cou, emp2_ex)
1069 CALL transform_virtual_orbitals_and_accumulate_abcase( &
1070 dimen, occupied, occupied_beta, dimen - occupied, dimen - occupied_beta, &
1071 i_batch_start, j_batch_start, &
1072 bib, c, c_beta, auto, auto_beta, &
1073 elements_ij_proc, ij_list_proc, emp2, emp2_cou)
1074 DEALLOCATE (c_beta_t)
1077 IF (copy_integrals)
THEN
1078 IF (.NOT. alpha_beta_case)
THEN
1079 ALLOCATE (integ_mp2(dimen - occupied, dimen - occupied, occupied, occupied))
1081 DO i = 1, elements_ij_proc
1082 iib = ij_list_proc(i, 1)
1083 jjb = ij_list_proc(i, 2)
1084 integ_mp2(:, :, iib + i_batch_start, jjb + j_batch_start) = bib(1:dimen - occupied, 1:dimen - occupied, i)
1087 ALLOCATE (integ_mp2(dimen - occupied, dimen - occupied_beta, occupied, occupied_beta))
1089 DO i = 1, elements_ij_proc
1090 iib = ij_list_proc(i, 1)
1091 jjb = ij_list_proc(i, 2)
1092 integ_mp2(:, :, iib + i_batch_start, jjb + j_batch_start) = bib(1:dimen - occupied, 1:dimen - occupied_beta, i)
1098 DEALLOCATE (set_list_ij, set_list_kl)
1100 DO i = 1, max_pgf**2
1101 DEALLOCATE (pgf_list_ij(i)%image_list)
1102 DEALLOCATE (pgf_list_kl(i)%image_list)
1105 DEALLOCATE (pgf_list_ij)
1106 DEALLOCATE (pgf_list_kl)
1107 DEALLOCATE (pgf_product_list)
1109 DEALLOCATE (max_contraction, kind_of)
1111 DEALLOCATE (ee_work, ee_work2, ee_buffer1, ee_buffer2, ee_primitives_tmp)
1113 DEALLOCATE (nimages)
1120 CALL timestop(handle)