mirror of
https://github.com/QuantumPackage/qp2.git
synced 2024-12-27 13:53:29 +01:00
513 lines
17 KiB
Fortran
513 lines
17 KiB
Fortran
|
|
! ---
|
|
|
|
BEGIN_PROVIDER [double precision, noL_0e_naive]
|
|
|
|
implicit none
|
|
integer :: ii, jj, kk
|
|
integer :: i, j, k
|
|
double precision :: sigma_i, sigma_j, sigma_k
|
|
double precision :: I_ijk_ijk, I_ijk_kij, I_ijk_jki, I_ijk_jik, I_ijk_kji, I_ijk_ikj
|
|
double precision :: t0, t1
|
|
double precision, allocatable :: tmp(:)
|
|
|
|
print*, " Providing noL_0e_naive ..."
|
|
call wall_time(t0)
|
|
|
|
allocate(tmp(elec_num))
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, kk, k, sigma_k, &
|
|
!$OMP I_ijk_ijk, I_ijk_kij, I_ijk_jki, I_ijk_jik, &
|
|
!$OMP I_ijk_kji, I_ijk_ikj) &
|
|
!$OMP SHARED (elec_beta_num, elec_num, tmp)
|
|
!$OMP DO
|
|
|
|
do ii = 1, elec_num
|
|
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
tmp(ii) = 0.d0
|
|
|
|
do jj = 1, elec_num
|
|
|
|
if(jj .le. elec_beta_num) then
|
|
j = jj
|
|
sigma_j = -1.d0
|
|
else
|
|
j = jj - elec_beta_num
|
|
sigma_j = +1.d0
|
|
endif
|
|
|
|
do kk = 1, elec_num
|
|
|
|
if(kk .le. elec_beta_num) then
|
|
k = kk
|
|
sigma_k = -1.d0
|
|
else
|
|
k = kk - elec_beta_num
|
|
sigma_k = +1.d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, I_ijk_ijk)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, k, sigma_k, i, sigma_i, j, sigma_j &
|
|
, I_ijk_kij)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, j, sigma_j, k, sigma_k, i, sigma_i &
|
|
, I_ijk_jki)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, j, sigma_j, i, sigma_i, k, sigma_k &
|
|
, I_ijk_jik)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, k, sigma_k, j, sigma_j, i, sigma_i &
|
|
, I_ijk_kji)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
|
|
, i, sigma_i, k, sigma_k, j, sigma_j &
|
|
, I_ijk_ikj)
|
|
|
|
|
|
tmp(ii) = tmp(ii) + I_ijk_ijk + I_ijk_kij + I_ijk_jki - I_ijk_jik - I_ijk_kji - I_ijk_ikj
|
|
! = tmp(ii) + I_ijk_ijk + 2.d0 * I_ijk_kij - 3.d0 * I_ijk_jik
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
noL_0e_naive = -1.d0 * (sum(tmp)) / 6.d0
|
|
|
|
deallocate(tmp)
|
|
|
|
call wall_time(t1)
|
|
print*, " Wall time for noL_0e_naive (min) = ", (t1 - t0)/60.d0
|
|
|
|
print*, " noL_0e_naive = ", noL_0e_naive
|
|
|
|
END_PROVIDER
|
|
|
|
! ---
|
|
|
|
BEGIN_PROVIDER [double precision, noL_1e_naive, (mo_num, mo_num)]
|
|
|
|
BEGIN_DOC
|
|
!
|
|
! < p | H(1) | s > is dressed with noL_1e_naive(p,s)
|
|
!
|
|
END_DOC
|
|
|
|
implicit none
|
|
integer :: ii, jj
|
|
integer :: i, j, p, s
|
|
double precision :: sigma_i, sigma_j, sigma_p, sigma_s
|
|
double precision :: I_pij_sji, I_pij_sij, I_pij_jis, I_pij_ijs, I_pij_isj, I_pij_jsi
|
|
double precision :: t0, t1
|
|
|
|
print*, " Providing noL_1e_naive ..."
|
|
call wall_time(t0)
|
|
|
|
! ----
|
|
! up-up part
|
|
|
|
sigma_p = +1.d0
|
|
sigma_s = +1.d0
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, &
|
|
!$OMP I_pij_sji, I_pij_sij, I_pij_jis, &
|
|
!$OMP I_pij_ijs, I_pij_isj, I_pij_jsi ) &
|
|
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
|
|
!$OMP sigma_p, sigma_s, noL_1e_naive)
|
|
|
|
!$OMP DO COLLAPSE (2)
|
|
|
|
do s = 1, mo_num
|
|
do p = 1, mo_num
|
|
|
|
noL_1e_naive(p,s) = 0.d0
|
|
do ii = 1, elec_num
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
do jj = 1, elec_num
|
|
if(jj .le. elec_beta_num) then
|
|
j = jj
|
|
sigma_j = -1.d0
|
|
else
|
|
j = jj - elec_beta_num
|
|
sigma_j = +1d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, s, sigma_s, j, sigma_j, i, sigma_i &
|
|
, I_pij_sji)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, s, sigma_s, i, sigma_i, j, sigma_j &
|
|
, I_pij_sij)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, j, sigma_j, i, sigma_i, s, sigma_s &
|
|
, I_pij_jis)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, i, sigma_i, j, sigma_j, s, sigma_s &
|
|
, I_pij_ijs)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, i, sigma_i, s, sigma_s, j, sigma_j &
|
|
, I_pij_isj)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, j, sigma_j, s, sigma_s, i, sigma_i &
|
|
, I_pij_jsi)
|
|
|
|
! x 0.5 because we consider 0.5 (up + down)
|
|
noL_1e_naive(p,s) = noL_1e_naive(p,s) - 0.25d0 * (I_pij_sji - I_pij_sij + I_pij_jis - I_pij_ijs + I_pij_isj - I_pij_jsi)
|
|
enddo ! j
|
|
enddo ! i
|
|
enddo ! s
|
|
enddo ! p
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
|
|
! ----
|
|
! down-down part
|
|
|
|
sigma_p = -1.d0
|
|
sigma_s = -1.d0
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, &
|
|
!$OMP I_pij_sji, I_pij_sij, I_pij_jis, &
|
|
!$OMP I_pij_ijs, I_pij_isj, I_pij_jsi ) &
|
|
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
|
|
!$OMP sigma_p, sigma_s, noL_1e_naive)
|
|
|
|
!$OMP DO COLLAPSE (2)
|
|
|
|
do s = 1, mo_num
|
|
do p = 1, mo_num
|
|
|
|
do ii = 1, elec_num
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
do jj = 1, elec_num
|
|
if(jj .le. elec_beta_num) then
|
|
j = jj
|
|
sigma_j = -1.d0
|
|
else
|
|
j = jj - elec_beta_num
|
|
sigma_j = +1d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, s, sigma_s, j, sigma_j, i, sigma_i &
|
|
, I_pij_sji)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, s, sigma_s, i, sigma_i, j, sigma_j &
|
|
, I_pij_sij)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, j, sigma_j, i, sigma_i, s, sigma_s &
|
|
, I_pij_jis)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, i, sigma_i, j, sigma_j, s, sigma_s &
|
|
, I_pij_ijs)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, i, sigma_i, s, sigma_s, j, sigma_j &
|
|
, I_pij_isj)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
|
|
, j, sigma_j, s, sigma_s, i, sigma_i &
|
|
, I_pij_jsi)
|
|
|
|
! x 0.5 because we consider 0.5 (up + down)
|
|
noL_1e_naive(p,s) = noL_1e_naive(p,s) - 0.25d0 * (I_pij_sji - I_pij_sij + I_pij_jis - I_pij_ijs + I_pij_isj - I_pij_jsi)
|
|
enddo ! j
|
|
enddo ! i
|
|
enddo ! s
|
|
enddo ! p
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
! ---
|
|
|
|
call wall_time(t1)
|
|
print*, " Wall time for noL_1e_naive (min) = ", (t1 - t0)/60.d0
|
|
|
|
END_PROVIDER
|
|
|
|
! ---
|
|
|
|
BEGIN_PROVIDER [double precision, noL_2e_naive, (mo_num, mo_num, mo_num, mo_num)]
|
|
|
|
BEGIN_DOC
|
|
!
|
|
! < p q | H(2) | s t > is dressed with noL_2e_naive(p,q,s,t)
|
|
!
|
|
END_DOC
|
|
|
|
implicit none
|
|
integer :: ii
|
|
integer :: i, p, q, s, t
|
|
double precision :: sigma_i, sigma_p, sigma_q, sigma_s, sigma_t
|
|
double precision :: I_ipq_ist, I_ipq_sit, I_ipq_tsi
|
|
double precision :: t0, t1
|
|
|
|
print*, " Providing noL_2e_naive ..."
|
|
call wall_time(t0)
|
|
|
|
! ----
|
|
! up-up & up-up part
|
|
|
|
sigma_p = +1.d0
|
|
sigma_s = +1.d0
|
|
sigma_q = +1.d0
|
|
sigma_t = +1.d0
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
|
|
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
|
|
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
|
|
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
|
|
!$OMP noL_2e_naive)
|
|
|
|
!$OMP DO COLLAPSE (4)
|
|
do t = 1, mo_num
|
|
do s = 1, mo_num
|
|
do q = 1, mo_num
|
|
do p = 1, mo_num
|
|
|
|
noL_2e_naive(p,q,s,t) = 0.d0
|
|
do ii = 1, elec_num
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, i, sigma_i, s, sigma_s, t, sigma_t &
|
|
, I_ipq_ist)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, s, sigma_s, i, sigma_i, t, sigma_t &
|
|
, I_ipq_sit)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, t, sigma_t, s, sigma_s, i, sigma_i &
|
|
, I_ipq_tsi)
|
|
|
|
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
|
|
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
|
|
enddo ! i
|
|
enddo ! p
|
|
enddo ! q
|
|
enddo ! s
|
|
enddo ! t
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
! ----
|
|
! up-up & down-down part
|
|
|
|
sigma_p = +1.d0
|
|
sigma_s = +1.d0
|
|
sigma_q = -1.d0
|
|
sigma_t = -1.d0
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
|
|
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
|
|
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
|
|
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
|
|
!$OMP noL_2e_naive)
|
|
|
|
!$OMP DO COLLAPSE (4)
|
|
do t = 1, mo_num
|
|
do s = 1, mo_num
|
|
do q = 1, mo_num
|
|
do p = 1, mo_num
|
|
|
|
do ii = 1, elec_num
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, i, sigma_i, s, sigma_s, t, sigma_t &
|
|
, I_ipq_ist)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, s, sigma_s, i, sigma_i, t, sigma_t &
|
|
, I_ipq_sit)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, t, sigma_t, s, sigma_s, i, sigma_i &
|
|
, I_ipq_tsi)
|
|
|
|
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
|
|
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
|
|
enddo ! i
|
|
enddo ! p
|
|
enddo ! q
|
|
enddo ! s
|
|
enddo ! t
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
! ----
|
|
! down-down & up-up part
|
|
|
|
sigma_p = -1.d0
|
|
sigma_s = -1.d0
|
|
sigma_q = +1.d0
|
|
sigma_t = +1.d0
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
|
|
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
|
|
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
|
|
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
|
|
!$OMP noL_2e_naive)
|
|
|
|
!$OMP DO COLLAPSE (4)
|
|
do t = 1, mo_num
|
|
do s = 1, mo_num
|
|
do q = 1, mo_num
|
|
do p = 1, mo_num
|
|
|
|
do ii = 1, elec_num
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, i, sigma_i, s, sigma_s, t, sigma_t &
|
|
, I_ipq_ist)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, s, sigma_s, i, sigma_i, t, sigma_t &
|
|
, I_ipq_sit)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, t, sigma_t, s, sigma_s, i, sigma_i &
|
|
, I_ipq_tsi)
|
|
|
|
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
|
|
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
|
|
enddo ! i
|
|
enddo ! p
|
|
enddo ! q
|
|
enddo ! s
|
|
enddo ! t
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
! ----
|
|
! down-down & down-down part
|
|
|
|
sigma_p = -1.d0
|
|
sigma_s = -1.d0
|
|
sigma_q = -1.d0
|
|
sigma_t = -1.d0
|
|
|
|
!$OMP PARALLEL &
|
|
!$OMP DEFAULT (NONE) &
|
|
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
|
|
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
|
|
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
|
|
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
|
|
!$OMP noL_2e_naive)
|
|
|
|
!$OMP DO COLLAPSE (4)
|
|
do t = 1, mo_num
|
|
do s = 1, mo_num
|
|
do q = 1, mo_num
|
|
do p = 1, mo_num
|
|
|
|
do ii = 1, elec_num
|
|
if(ii .le. elec_beta_num) then
|
|
i = ii
|
|
sigma_i = -1.d0
|
|
else
|
|
i = ii - elec_beta_num
|
|
sigma_i = +1.d0
|
|
endif
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, i, sigma_i, s, sigma_s, t, sigma_t &
|
|
, I_ipq_ist)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, s, sigma_s, i, sigma_i, t, sigma_t &
|
|
, I_ipq_sit)
|
|
|
|
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
|
|
, t, sigma_t, s, sigma_s, i, sigma_i &
|
|
, I_ipq_tsi)
|
|
|
|
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
|
|
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
|
|
enddo ! i
|
|
enddo ! p
|
|
enddo ! q
|
|
enddo ! s
|
|
enddo ! t
|
|
!$OMP END DO
|
|
!$OMP END PARALLEL
|
|
|
|
call wall_time(t1)
|
|
print*, " Wall time for noL_2e_naive (min) = ", (t1 - t0)/60.d0
|
|
|
|
END_PROVIDER
|
|
|
|
! ---
|
|
|
|
|