2023-09-12 11:57:38 +02:00
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! ---
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2023-09-12 20:43:54 +02:00
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BEGIN_PROVIDER [double precision, noL_0e_naive]
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2023-09-12 11:57:38 +02:00
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implicit none
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2023-09-12 16:52:58 +02:00
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integer :: ii, jj, kk
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integer :: i, j, k
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double precision :: sigma_i, sigma_j, sigma_k
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double precision :: I_ijk_ijk, I_ijk_kij, I_ijk_jki, I_ijk_jik, I_ijk_kji, I_ijk_ikj
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double precision :: t0, t1
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double precision, allocatable :: tmp(:)
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2023-09-12 11:57:38 +02:00
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2023-09-12 20:43:54 +02:00
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print*, " Providing noL_0e_naive ..."
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2023-09-12 11:57:38 +02:00
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call wall_time(t0)
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2023-09-12 16:52:58 +02:00
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allocate(tmp(elec_num))
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, kk, k, sigma_k, &
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!$OMP I_ijk_ijk, I_ijk_kij, I_ijk_jki, I_ijk_jik, &
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!$OMP I_ijk_kji, I_ijk_ikj) &
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!$OMP SHARED (elec_beta_num, elec_num, tmp)
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!$OMP DO
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2023-09-12 11:57:38 +02:00
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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2023-09-12 16:52:58 +02:00
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tmp(ii) = 0.d0
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2023-09-12 11:57:38 +02:00
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do jj = 1, elec_num
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if(jj .le. elec_beta_num) then
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j = jj
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sigma_j = -1.d0
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else
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j = jj - elec_beta_num
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sigma_j = +1.d0
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endif
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do kk = 1, elec_num
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if(kk .le. elec_beta_num) then
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k = kk
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sigma_k = -1.d0
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else
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k = kk - elec_beta_num
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sigma_k = +1.d0
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endif
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
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, i, sigma_i, j, sigma_j, k, sigma_k &
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, I_ijk_ijk)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
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, k, sigma_k, i, sigma_i, j, sigma_j &
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, I_ijk_kij)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
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, j, sigma_j, k, sigma_k, i, sigma_i &
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, I_ijk_jki)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
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, j, sigma_j, i, sigma_i, k, sigma_k &
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, I_ijk_jik)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
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, k, sigma_k, j, sigma_j, i, sigma_i &
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, I_ijk_kji)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
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, i, sigma_i, k, sigma_k, j, sigma_j &
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, I_ijk_ikj)
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2023-09-12 16:52:58 +02:00
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tmp(ii) = tmp(ii) + I_ijk_ijk + I_ijk_kij + I_ijk_jki - I_ijk_jik - I_ijk_kji - I_ijk_ikj
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! = tmp(ii) + I_ijk_ijk + 2.d0 * I_ijk_kij - 3.d0 * I_ijk_jik
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2023-09-12 11:57:38 +02:00
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enddo
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enddo
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enddo
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2023-09-12 16:52:58 +02:00
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!$OMP END DO
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!$OMP END PARALLEL
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2023-09-12 11:57:38 +02:00
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2023-09-16 00:28:18 +02:00
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noL_0e_naive = -1.d0 * (sum(tmp)) / 6.d0
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2023-09-12 16:52:58 +02:00
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deallocate(tmp)
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2023-09-12 11:57:38 +02:00
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call wall_time(t1)
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2023-09-12 20:43:54 +02:00
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print*, " Wall time for noL_0e_naive (min) = ", (t1 - t0)/60.d0
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2023-09-12 11:57:38 +02:00
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2023-09-12 20:43:54 +02:00
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print*, " noL_0e_naive = ", noL_0e_naive
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2023-09-12 11:57:38 +02:00
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END_PROVIDER
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! ---
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2023-09-12 20:43:54 +02:00
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BEGIN_PROVIDER [double precision, noL_1e_naive, (mo_num, mo_num)]
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2023-09-12 16:52:58 +02:00
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BEGIN_DOC
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!
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2023-09-12 20:43:54 +02:00
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! < p | H(1) | s > is dressed with noL_1e_naive(p,s)
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2023-09-12 16:52:58 +02:00
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!
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END_DOC
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implicit none
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integer :: ii, jj
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integer :: i, j, p, s
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double precision :: sigma_i, sigma_j, sigma_p, sigma_s
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double precision :: I_pij_sji, I_pij_sij, I_pij_jis, I_pij_ijs, I_pij_isj, I_pij_jsi
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double precision :: t0, t1
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2023-09-12 20:43:54 +02:00
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print*, " Providing noL_1e_naive ..."
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2023-09-12 16:52:58 +02:00
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call wall_time(t0)
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! ----
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! up-up part
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sigma_p = +1.d0
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sigma_s = +1.d0
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, &
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!$OMP I_pij_sji, I_pij_sij, I_pij_jis, &
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!$OMP I_pij_ijs, I_pij_isj, I_pij_jsi ) &
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!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
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2023-09-12 20:43:54 +02:00
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!$OMP sigma_p, sigma_s, noL_1e_naive)
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2023-09-12 16:52:58 +02:00
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!$OMP DO COLLAPSE (2)
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do s = 1, mo_num
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do p = 1, mo_num
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2023-09-12 20:43:54 +02:00
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noL_1e_naive(p,s) = 0.d0
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2023-09-12 16:52:58 +02:00
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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do jj = 1, elec_num
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if(jj .le. elec_beta_num) then
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j = jj
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sigma_j = -1.d0
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else
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j = jj - elec_beta_num
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sigma_j = +1d0
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endif
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, s, sigma_s, j, sigma_j, i, sigma_i &
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, I_pij_sji)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, s, sigma_s, i, sigma_i, j, sigma_j &
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, I_pij_sij)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, j, sigma_j, i, sigma_i, s, sigma_s &
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, I_pij_jis)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, i, sigma_i, j, sigma_j, s, sigma_s &
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, I_pij_ijs)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, i, sigma_i, s, sigma_s, j, sigma_j &
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, I_pij_isj)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, j, sigma_j, s, sigma_s, i, sigma_i &
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, I_pij_jsi)
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! x 0.5 because we consider 0.5 (up + down)
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2023-09-16 00:28:18 +02:00
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noL_1e_naive(p,s) = noL_1e_naive(p,s) - 0.25d0 * (I_pij_sji - I_pij_sij + I_pij_jis - I_pij_ijs + I_pij_isj - I_pij_jsi)
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2023-09-12 16:52:58 +02:00
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enddo ! j
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enddo ! i
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enddo ! s
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enddo ! p
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!$OMP END DO
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!$OMP END PARALLEL
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! ----
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! down-down part
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sigma_p = -1.d0
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sigma_s = -1.d0
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, &
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!$OMP I_pij_sji, I_pij_sij, I_pij_jis, &
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!$OMP I_pij_ijs, I_pij_isj, I_pij_jsi ) &
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!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
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2023-09-12 20:43:54 +02:00
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!$OMP sigma_p, sigma_s, noL_1e_naive)
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2023-09-12 16:52:58 +02:00
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!$OMP DO COLLAPSE (2)
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do s = 1, mo_num
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do p = 1, mo_num
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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do jj = 1, elec_num
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if(jj .le. elec_beta_num) then
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j = jj
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sigma_j = -1.d0
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else
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j = jj - elec_beta_num
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sigma_j = +1d0
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endif
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, s, sigma_s, j, sigma_j, i, sigma_i &
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, I_pij_sji)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, s, sigma_s, i, sigma_i, j, sigma_j &
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, I_pij_sij)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, j, sigma_j, i, sigma_i, s, sigma_s &
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, I_pij_jis)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, i, sigma_i, j, sigma_j, s, sigma_s &
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, I_pij_ijs)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, i, sigma_i, s, sigma_s, j, sigma_j &
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, I_pij_isj)
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call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
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, j, sigma_j, s, sigma_s, i, sigma_i &
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, I_pij_jsi)
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! x 0.5 because we consider 0.5 (up + down)
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2023-09-16 00:28:18 +02:00
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noL_1e_naive(p,s) = noL_1e_naive(p,s) - 0.25d0 * (I_pij_sji - I_pij_sij + I_pij_jis - I_pij_ijs + I_pij_isj - I_pij_jsi)
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2023-09-12 16:52:58 +02:00
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enddo ! j
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enddo ! i
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enddo ! s
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enddo ! p
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!$OMP END DO
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!$OMP END PARALLEL
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! ---
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call wall_time(t1)
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2023-09-12 20:43:54 +02:00
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print*, " Wall time for noL_1e_naive (min) = ", (t1 - t0)/60.d0
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2023-09-12 16:52:58 +02:00
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END_PROVIDER
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! ---
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2023-09-12 20:43:54 +02:00
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BEGIN_PROVIDER [double precision, noL_2e_naive, (mo_num, mo_num, mo_num, mo_num)]
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2023-09-12 16:52:58 +02:00
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BEGIN_DOC
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!
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2023-09-12 20:43:54 +02:00
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! < p q | H(2) | s t > is dressed with noL_2e_naive(p,q,s,t)
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2023-09-12 16:52:58 +02:00
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!
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END_DOC
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implicit none
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integer :: ii
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integer :: i, p, q, s, t
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double precision :: sigma_i, sigma_p, sigma_q, sigma_s, sigma_t
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double precision :: I_ipq_ist, I_ipq_sit, I_ipq_tsi
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double precision :: t0, t1
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2023-09-12 20:43:54 +02:00
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print*, " Providing noL_2e_naive ..."
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2023-09-12 16:52:58 +02:00
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call wall_time(t0)
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! ----
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! up-up & up-up part
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sigma_p = +1.d0
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sigma_s = +1.d0
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sigma_q = +1.d0
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sigma_t = +1.d0
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
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!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
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!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
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!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
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2023-09-12 20:43:54 +02:00
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!$OMP noL_2e_naive)
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2023-09-12 16:52:58 +02:00
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!$OMP DO COLLAPSE (4)
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do t = 1, mo_num
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do s = 1, mo_num
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do q = 1, mo_num
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do p = 1, mo_num
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2023-09-12 20:43:54 +02:00
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noL_2e_naive(p,q,s,t) = 0.d0
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2023-09-12 16:52:58 +02:00
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, i, sigma_i, s, sigma_s, t, sigma_t &
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, I_ipq_ist)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, s, sigma_s, i, sigma_i, t, sigma_t &
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, I_ipq_sit)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, t, sigma_t, s, sigma_s, i, sigma_i &
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, I_ipq_tsi)
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! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
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2023-09-16 00:28:18 +02:00
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noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
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2023-09-12 16:52:58 +02:00
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enddo ! i
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enddo ! p
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enddo ! q
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enddo ! s
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enddo ! t
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!$OMP END DO
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!$OMP END PARALLEL
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! ----
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! up-up & down-down part
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sigma_p = +1.d0
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sigma_s = +1.d0
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sigma_q = -1.d0
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sigma_t = -1.d0
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
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!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
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!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
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!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
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2023-09-12 20:43:54 +02:00
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!$OMP noL_2e_naive)
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2023-09-12 16:52:58 +02:00
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!$OMP DO COLLAPSE (4)
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do t = 1, mo_num
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do s = 1, mo_num
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do q = 1, mo_num
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do p = 1, mo_num
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, i, sigma_i, s, sigma_s, t, sigma_t &
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, I_ipq_ist)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, s, sigma_s, i, sigma_i, t, sigma_t &
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, I_ipq_sit)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, t, sigma_t, s, sigma_s, i, sigma_i &
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, I_ipq_tsi)
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! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
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2023-09-16 00:28:18 +02:00
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noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
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2023-09-12 16:52:58 +02:00
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enddo ! i
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enddo ! p
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enddo ! q
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enddo ! s
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enddo ! t
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!$OMP END DO
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!$OMP END PARALLEL
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! ----
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! down-down & up-up part
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sigma_p = -1.d0
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sigma_s = -1.d0
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sigma_q = +1.d0
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sigma_t = +1.d0
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
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!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
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!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
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!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
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2023-09-12 20:43:54 +02:00
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!$OMP noL_2e_naive)
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2023-09-12 16:52:58 +02:00
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!$OMP DO COLLAPSE (4)
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do t = 1, mo_num
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do s = 1, mo_num
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do q = 1, mo_num
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do p = 1, mo_num
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, i, sigma_i, s, sigma_s, t, sigma_t &
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, I_ipq_ist)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, s, sigma_s, i, sigma_i, t, sigma_t &
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, I_ipq_sit)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, t, sigma_t, s, sigma_s, i, sigma_i &
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, I_ipq_tsi)
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! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
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2023-09-16 00:28:18 +02:00
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noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
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2023-09-12 16:52:58 +02:00
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enddo ! i
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enddo ! p
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enddo ! q
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enddo ! s
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enddo ! t
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!$OMP END DO
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!$OMP END PARALLEL
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! ----
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! down-down & down-down part
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sigma_p = -1.d0
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sigma_s = -1.d0
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sigma_q = -1.d0
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sigma_t = -1.d0
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
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!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
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!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
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!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
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2023-09-12 20:43:54 +02:00
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!$OMP noL_2e_naive)
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2023-09-12 16:52:58 +02:00
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!$OMP DO COLLAPSE (4)
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do t = 1, mo_num
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do s = 1, mo_num
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do q = 1, mo_num
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do p = 1, mo_num
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do ii = 1, elec_num
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if(ii .le. elec_beta_num) then
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i = ii
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sigma_i = -1.d0
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else
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i = ii - elec_beta_num
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sigma_i = +1.d0
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endif
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, i, sigma_i, s, sigma_s, t, sigma_t &
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, I_ipq_ist)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, s, sigma_s, i, sigma_i, t, sigma_t &
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, I_ipq_sit)
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call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
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, t, sigma_t, s, sigma_s, i, sigma_i &
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, I_ipq_tsi)
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! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
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2023-09-16 00:28:18 +02:00
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noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
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2023-09-12 16:52:58 +02:00
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enddo ! i
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enddo ! p
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enddo ! q
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enddo ! s
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enddo ! t
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!$OMP END DO
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!$OMP END PARALLEL
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call wall_time(t1)
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2023-09-12 20:43:54 +02:00
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print*, " Wall time for noL_2e_naive (min) = ", (t1 - t0)/60.d0
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2023-09-12 16:52:58 +02:00
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END_PROVIDER
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! ---
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2023-09-12 11:57:38 +02:00
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