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All permutations in ccsd_t_space_orb_abc.irp.f

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Anthony Scemama 2023-05-13 23:29:58 +02:00
parent c18bea7e81
commit cad1da1768
1 changed files with 114 additions and 54 deletions
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src/ccsd/ccsd_t_space_orb_abc.irp.f
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@ -12,9 +12,10 @@ subroutine ccsd_par_t_space_v3(nO,nV,t1,t2,f_o,f_v,v_vvvo,v_vvoo,v_vooo,energy)
double precision, allocatable :: W(:,:,:,:,:,:) double precision, allocatable :: W(:,:,:,:,:,:)
double precision, allocatable :: V(:,:,:,:,:,:) double precision, allocatable :: V(:,:,:,:,:,:)
double precision, allocatable :: W_abc(:,:,:), V_abc(:,:,:) double precision, allocatable :: W_abc(:,:,:), W_cab(:,:,:), W_bca(:,:,:)
double precision, allocatable :: W_cab(:,:,:), W_cba(:,:,:) double precision, allocatable :: W_bac(:,:,:), W_cba(:,:,:), W_acb(:,:,:)
double precision, allocatable :: W_bca(:,:,:) double precision, allocatable :: V_abc(:,:,:), V_cab(:,:,:), V_bca(:,:,:)
double precision, allocatable :: V_bac(:,:,:), V_cba(:,:,:), V_acb(:,:,:)
double precision, allocatable :: X_vovv(:,:,:,:), X_ooov(:,:,:,:), X_oovv(:,:,:,:) double precision, allocatable :: X_vovv(:,:,:,:), X_ooov(:,:,:,:), X_oovv(:,:,:,:)
double precision, allocatable :: T_voov(:,:,:,:), T_oovv(:,:,:,:) double precision, allocatable :: T_voov(:,:,:,:), T_oovv(:,:,:,:)
integer :: i,j,k,l,a,b,c,d integer :: i,j,k,l,a,b,c,d
@ -103,26 +104,30 @@ subroutine ccsd_par_t_space_v3(nO,nV,t1,t2,f_o,f_v,v_vvvo,v_vvoo,v_vooo,energy)
!$OMP END PARALLEL !$OMP END PARALLEL
energy = 0d0 energy = 0d0
!$OMP PARALLEL & !$OMP PARALLEL &
!$OMP PRIVATE(a,b,c,W_abc,W_cab,W_bca,W_cba,V_abc) & !$OMP PRIVATE(a,b,c) &
!$OMP PRIVATE(i,j,k,e,delta,delta_abc) & !$OMP PRIVATE(W_abc, W_cab, W_bca, W_bac, W_cba, W_acb, &
!$OMP DEFAULT(SHARED) !$OMP V_abc, V_cab, V_bca, V_bac, V_cba, V_acb ) &
allocate(W_abc(nO,nO,nO), W_cab(nO,nO,nO), V_abc(nO,nO,nO), & !$OMP PRIVATE(i,j,k,e,delta,delta_abc) &
W_bca(nO,nO,nO), W_cba(nO,nO,nO) ) !$OMP DEFAULT(SHARED)
allocate( W_abc(nO,nO,nO), W_cab(nO,nO,nO), W_bca(nO,nO,nO), &
W_bac(nO,nO,nO), W_cba(nO,nO,nO), W_acb(nO,nO,nO), &
V_abc(nO,nO,nO), V_cab(nO,nO,nO), V_bca(nO,nO,nO), &
V_bac(nO,nO,nO), V_cba(nO,nO,nO), V_acb(nO,nO,nO) )
!$OMP DO !$OMP DO
do c = 1, nV do c = 1, nV
do b = 1, nV do b = 1, nV
do a = 1, nV do a = 1, nV
e = 0d0 e = 0d0
delta_abc = f_v(a) + f_v(b) + f_v(c) delta_abc = f_v(a) + f_v(b) + f_v(c)
call form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,W_cab) call form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,W_cab,W_bac,W_acb)
call form_v_abc(nO,nV,a,b,c,t1,X_oovv,W_abc,V_abc,W_cba) call form_v_abc(nO,nV,a,b,c,t1,X_oovv,W_abc,V_abc,W_cba,V_cba,W_bca,V_bca,W_cab,V_cab,W_bac,V_bac,W_acb,V_acb)
do i = 1, nO do i = 1, nO
do j = 1, nO do j = 1, nO
do k = 1, nO do k = 1, nO
delta = 1d0 / (f_o(i) + f_o(j) + f_o(k) - delta_abc) delta = 1d0 / (f_o(i) + f_o(j) + f_o(k) - delta_abc)
e = e + (4d0 * W_abc(i,j,k) + W_bca(i,j,k) + W_cab(i,j,k))& e = e + (4d0 * W_abc(i,j,k) + W_bca(i,j,k) + W_cab(i,j,k))&
* V_abc(i,j,k) * delta * (V_abc(i,j,k) - V_cba(i,j,k)) * delta
enddo enddo
enddo enddo
enddo enddo
@ -134,7 +139,9 @@ subroutine ccsd_par_t_space_v3(nO,nV,t1,t2,f_o,f_v,v_vvvo,v_vvoo,v_vooo,energy)
enddo enddo
!$OMP END DO !$OMP END DO
deallocate(W_abc,V_abc,W_cab,W_bca,W_cba) deallocate(W_abc, W_cab, W_bca, W_bac, W_cba, W_acb, &
V_abc, V_cab, V_bca, V_bac, V_cba, V_acb )
!$OMP END PARALLEL !$OMP END PARALLEL
energy = energy / 3.d0 energy = energy / 3.d0
@ -143,7 +150,7 @@ subroutine ccsd_par_t_space_v3(nO,nV,t1,t2,f_o,f_v,v_vvvo,v_vvoo,v_vooo,energy)
end end
subroutine form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,W_cab) subroutine form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,W_cab,W_bac,W_acb)
implicit none implicit none
@ -154,20 +161,22 @@ subroutine form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,
double precision, intent(out) :: W_cba(nO,nO,nO) double precision, intent(out) :: W_cba(nO,nO,nO)
double precision, intent(out) :: W_bca(nO,nO,nO) double precision, intent(out) :: W_bca(nO,nO,nO)
double precision, intent(out) :: W_cab(nO,nO,nO) double precision, intent(out) :: W_cab(nO,nO,nO)
double precision, intent(out) :: W_bac(nO,nO,nO)
double precision, intent(out) :: W_acb(nO,nO,nO)
integer :: l,i,j,k,d integer :: l,i,j,k,d
double precision, allocatable, dimension(:,:,:,:) :: W_ikj double precision, allocatable, dimension(:,:,:,:) :: W_ikj
double precision, allocatable :: X(:,:,:,:) double precision, allocatable :: X(:,:,:,:)
allocate(W_ikj(nO,nO,nO,4)) allocate(W_ikj(nO,nO,nO,6))
allocate(X(nV,nO,nO,3)) allocate(X(nV,nO,nO,3))
do k=1,nO do k=1,nO
do i=1,nO do i=1,nO
do d=1,nV do d=1,nV
X(d,i,k,1) = T_voov(d,k,i,c) X(d,i,k,1) = T_voov(d,k,i,a)
X(d,i,k,2) = T_voov(d,k,i,b) X(d,i,k,2) = T_voov(d,k,i,b)
X(d,i,k,3) = T_voov(d,k,i,a) X(d,i,k,3) = T_voov(d,k,i,c)
enddo enddo
enddo enddo
enddo enddo
@ -175,44 +184,56 @@ subroutine form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,
! X_vovv(d,i,c,a) * T_voov(d,j,k,b) : i jk ! X_vovv(d,i,c,a) * T_voov(d,j,k,b) : i jk
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,c,a), nV, T_voov(1,1,1,b), nV, 0.d0, W_abc, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,c,a), nV, T_voov(1,1,1,b), nV, 0.d0, W_abc, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,a), nV, T_voov(1,1,1,a), nV, 0.d0, W_bac, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,c), nV, T_voov(1,1,1,b), nV, 0.d0, W_cba, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,c), nV, T_voov(1,1,1,b), nV, 0.d0, W_cba, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,b), nV, T_voov(1,1,1,c), nV, 0.d0, W_bca, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,b), nV, T_voov(1,1,1,c), nV, 0.d0, W_bca, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,c), nV, T_voov(1,1,1,a), nV, 0.d0, W_cab, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,c), nV, T_voov(1,1,1,a), nV, 0.d0, W_cab, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,a), nV, T_voov(1,1,1,c), nV, 0.d0, W_acb, nO)
! T_voov(d,i,j,a) * X_vovv(d,k,b,c) : ij k ! T_voov(d,i,j,a) * X_vovv(d,k,b,c) : ij k
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,a), nV, X_vovv(1,1,b,c), nV, 1.d0, W_abc, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,a), nV, X_vovv(1,1,b,c), nV, 1.d0, W_abc, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,b), nV, X_vovv(1,1,a,c), nV, 1.d0, W_bac, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,b,a), nV, 1.d0, W_cba, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,b,a), nV, 1.d0, W_cba, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,b), nV, X_vovv(1,1,c,a), nV, 1.d0, W_bca, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,b), nV, X_vovv(1,1,c,a), nV, 1.d0, W_bca, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,a,b), nV, 1.d0, W_cab, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,a,b), nV, 1.d0, W_cab, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,a), nV, X_vovv(1,1,c,b), nV, 1.d0, W_acb, nO*nO)
! X_vovv(d,k,a,c) * T_voov(d,j,i,b) : k ji ! X_vovv(d,k,a,c) * T_voov(d,j,i,b) : k ji
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,a,c), nV, 1.d0, W_abc, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,a,c), nV, 1.d0, W_abc, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,1), nV, X_vovv(1,1,b,c), nV, 1.d0, W_bac, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,c,a), nV, 1.d0, W_cba, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,c,a), nV, 1.d0, W_cba, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,1), nV, X_vovv(1,1,b,a), nV, 1.d0, W_bca, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,b,a), nV, 1.d0, W_bca, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,c,b), nV, 1.d0, W_cab, nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,1), nV, X_vovv(1,1,c,b), nV, 1.d0, W_cab, nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,a,b), nV, 1.d0, W_acb, nO*nO)
! X_vovv(d,i,b,a) * T_voov(d,k,j,c) : i kj ! X_vovv(d,i,b,a) * T_voov(d,k,j,c) : i kj
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,a), nV, X(1,1,1,1), nV, 1.d0, W_abc, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,a), nV, X(1,1,1,3), nV, 1.d0, W_abc, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,c), nV, X(1,1,1,3), nV, 1.d0, W_cba, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,b), nV, X(1,1,1,3), nV, 1.d0, W_bac, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,c,b), nV, X(1,1,1,3), nV, 1.d0, W_bca, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,b,c), nV, X(1,1,1,1), nV, 1.d0, W_cba, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,c,b), nV, X(1,1,1,1), nV, 1.d0, W_bca, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,c), nV, X(1,1,1,2), nV, 1.d0, W_cab, nO) call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,a,c), nV, X(1,1,1,2), nV, 1.d0, W_cab, nO)
call dgemm('T','N', nO, nO*nO, nV, 1.d0, X_vovv(1,1,c,a), nV, X(1,1,1,2), nV, 1.d0, W_acb, nO)
! T_voov(d,k,i,c) * X_vovv(d,j,a,b) : ki j ! T_voov(d,k,i,c) * X_vovv(d,j,a,b) : ki j
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,1), nV, X_vovv(1,1,a,b), nV, 0.d0, W_ikj(1,1,1,1), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,a,b), nV, 0.d0, W_ikj(1,1,1,1), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,c,b), nV, 0.d0, W_ikj(1,1,1,2), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,b,a), nV, 0.d0, W_ikj(1,1,1,2), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,3), nV, X_vovv(1,1,b,c), nV, 0.d0, W_ikj(1,1,1,3), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,1), nV, X_vovv(1,1,c,b), nV, 0.d0, W_ikj(1,1,1,3), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,c,a), nV, 0.d0, W_ikj(1,1,1,4), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,1), nV, X_vovv(1,1,b,c), nV, 0.d0, W_ikj(1,1,1,4), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,c,a), nV, 0.d0, W_ikj(1,1,1,5), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, X(1,1,1,2), nV, X_vovv(1,1,a,c), nV, 0.d0, W_ikj(1,1,1,6), nO*nO)
! T_voov(d,i,k,a) * X_vovv(d,j,c,b) : ik j ! T_voov(d,i,k,a) * X_vovv(d,j,c,b) : ik j
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,a), nV, X_vovv(1,1,c,b), nV, 1.d0, W_ikj(1,1,1,1), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,a), nV, X_vovv(1,1,c,b), nV, 1.d0, W_ikj(1,1,1,1), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,a,b), nV, 1.d0, W_ikj(1,1,1,2), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,b), nV, X_vovv(1,1,c,a), nV, 1.d0, W_ikj(1,1,1,2), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,b), nV, X_vovv(1,1,a,c), nV, 1.d0, W_ikj(1,1,1,3), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,a,b), nV, 1.d0, W_ikj(1,1,1,3), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,b,a), nV, 1.d0, W_ikj(1,1,1,4), nO*nO) call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,b), nV, X_vovv(1,1,a,c), nV, 1.d0, W_ikj(1,1,1,4), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,c), nV, X_vovv(1,1,b,a), nV, 1.d0, W_ikj(1,1,1,5), nO*nO)
call dgemm('T','N', nO*nO, nO, nV, 1.d0, T_voov(1,1,1,a), nV, X_vovv(1,1,b,c), nV, 1.d0, W_ikj(1,1,1,6), nO*nO)
deallocate(X) deallocate(X)
@ -221,8 +242,8 @@ subroutine form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,
do k=1,nO do k=1,nO
do j=1,nO do j=1,nO
do l=1,nO do l=1,nO
X(l,j,k,1) = X_ooov(l,k,j,b) X(l,j,k,1) = X_ooov(l,k,j,a)
X(l,j,k,2) = X_ooov(l,k,j,a) X(l,j,k,2) = X_ooov(l,k,j,b)
X(l,j,k,3) = X_ooov(l,k,j,c) X(l,j,k,3) = X_ooov(l,k,j,c)
enddo enddo
enddo enddo
@ -231,47 +252,61 @@ subroutine form_w_abc(nO,nV,a,b,c,T_voov,T_oovv,X_vovv,X_ooov,W_abc,W_cba,W_bca,
! - T_oovv(l,i,a,b) * X_ooov(l,j,k,c) : i jk ! - T_oovv(l,i,a,b) * X_ooov(l,j,k,c) : i jk
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,a,b), nO, X_ooov(1,1,1,c), nO, 1.d0, W_abc, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,a,b), nO, X_ooov(1,1,1,c), nO, 1.d0, W_abc, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,b,a), nO, X_ooov(1,1,1,c), nO, 1.d0, W_bac, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,b), nO, X_ooov(1,1,1,a), nO, 1.d0, W_cba, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,b), nO, X_ooov(1,1,1,a), nO, 1.d0, W_cba, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,b,c), nO, X_ooov(1,1,1,a), nO, 1.d0, W_bca, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,b,c), nO, X_ooov(1,1,1,a), nO, 1.d0, W_bca, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,a), nO, X_ooov(1,1,1,b), nO, 1.d0, W_cab, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,a), nO, X_ooov(1,1,1,b), nO, 1.d0, W_cab, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,a,c), nO, X_ooov(1,1,1,b), nO, 1.d0, W_acb, nO)
! - T_oovv(l,i,a,c) * X_ooov(l,k,j,b) : i kj ! - T_oovv(l,i,a,c) * X_ooov(l,k,j,b) : i kj
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,a,c), nO, X(1,1,1,1), nO, 1.d0, W_abc, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,a,c), nO, X(1,1,1,2), nO, 1.d0, W_abc, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,a), nO, X(1,1,1,1), nO, 1.d0, W_cba, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,b,c), nO, X(1,1,1,1), nO, 1.d0, W_bac, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,a), nO, X(1,1,1,2), nO, 1.d0, W_cba, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,b,a), nO, X(1,1,1,3), nO, 1.d0, W_bca, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,b,a), nO, X(1,1,1,3), nO, 1.d0, W_bca, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,b), nO, X(1,1,1,2), nO, 1.d0, W_cab, nO) call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,c,b), nO, X(1,1,1,1), nO, 1.d0, W_cab, nO)
call dgemm('T','N', nO, nO*nO, nO, -1.d0, T_oovv(1,1,a,b), nO, X(1,1,1,3), nO, 1.d0, W_acb, nO)
! - X_ooov(l,i,j,b) * T_oovv(l,k,c,a) : ij k ! - X_ooov(l,i,j,b) * T_oovv(l,k,c,a) : ij k
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,c,a), nO, 1.d0, W_abc, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,c,a), nO, 1.d0, W_abc, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,c,b), nO, 1.d0, W_bac, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,a,c), nO, 1.d0, W_cba, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,a,c), nO, 1.d0, W_cba, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,c), nO, T_oovv(1,1,a,b), nO, 1.d0, W_bca, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,c), nO, T_oovv(1,1,a,b), nO, 1.d0, W_bca, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,b,c), nO, 1.d0, W_cab, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,b,c), nO, 1.d0, W_cab, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,c), nO, T_oovv(1,1,b,a), nO, 1.d0, W_acb, nO*nO)
! - X_ooov(l,j,i,a) * T_oovv(l,k,c,b) : ji k ! - X_ooov(l,j,i,a) * T_oovv(l,k,c,b) : ji k
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,2), nO, T_oovv(1,1,c,b), nO, 1.d0, W_abc, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,1), nO, T_oovv(1,1,c,b), nO, 1.d0, W_abc, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,2), nO, T_oovv(1,1,c,a), nO, 1.d0, W_bac, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,a,b), nO, 1.d0, W_cba, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,a,b), nO, 1.d0, W_cba, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,1), nO, T_oovv(1,1,a,c), nO, 1.d0, W_bca, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,2), nO, T_oovv(1,1,a,c), nO, 1.d0, W_bca, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,b,a), nO, 1.d0, W_cab, nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,b,a), nO, 1.d0, W_cab, nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,1), nO, T_oovv(1,1,b,c), nO, 1.d0, W_acb, nO*nO)
! - X_ooov(l,k,i,a) * T_oovv(l,j,b,c) : ki j ! - X_ooov(l,k,i,a) * T_oovv(l,j,b,c) : ki j
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,2), nO, T_oovv(1,1,b,c), nO, 1.d0, W_ikj(1,1,1,1), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,1), nO, T_oovv(1,1,b,c), nO, 1.d0, W_ikj(1,1,1,1), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,b,a), nO, 1.d0, W_ikj(1,1,1,2), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,2), nO, T_oovv(1,1,a,c), nO, 1.d0, W_ikj(1,1,1,2), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,1), nO, T_oovv(1,1,c,a), nO, 1.d0, W_ikj(1,1,1,3), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,b,a), nO, 1.d0, W_ikj(1,1,1,3), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,a,b), nO, 1.d0, W_ikj(1,1,1,4), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,2), nO, T_oovv(1,1,c,a), nO, 1.d0, W_ikj(1,1,1,4), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,3), nO, T_oovv(1,1,a,b), nO, 1.d0, W_ikj(1,1,1,5), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X(1,1,1,1), nO, T_oovv(1,1,c,b), nO, 1.d0, W_ikj(1,1,1,6), nO*nO)
! - X_ooov(l,i,k,c) * T_oovv(l,j,b,a) : ik j ! - X_ooov(l,i,k,c) * T_oovv(l,j,b,a) : ik j
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,c), nO, T_oovv(1,1,b,a), nO, 1.d0, W_ikj(1,1,1,1), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,c), nO, T_oovv(1,1,b,a), nO, 1.d0, W_ikj(1,1,1,1), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,b,c), nO, 1.d0, W_ikj(1,1,1,2), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,c), nO, T_oovv(1,1,a,b), nO, 1.d0, W_ikj(1,1,1,2), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,c,b), nO, 1.d0, W_ikj(1,1,1,3), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,b,c), nO, 1.d0, W_ikj(1,1,1,3), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,a,c), nO, 1.d0, W_ikj(1,1,1,4), nO*nO) call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,a), nO, T_oovv(1,1,c,b), nO, 1.d0, W_ikj(1,1,1,4), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,a,c), nO, 1.d0, W_ikj(1,1,1,5), nO*nO)
call dgemm('T','N', nO*nO, nO, nO, -1.d0, X_ooov(1,1,1,b), nO, T_oovv(1,1,c,a), nO, 1.d0, W_ikj(1,1,1,6), nO*nO)
do k=1,nO do k=1,nO
do j=1,nO do j=1,nO
do i=1,nO do i=1,nO
W_abc(i,j,k) = W_abc(i,j,k) + W_ikj(i,k,j,1) W_abc(i,j,k) = W_abc(i,j,k) + W_ikj(i,k,j,1)
W_cba(i,j,k) = W_cba(i,j,k) + W_ikj(i,k,j,2) W_bac(i,j,k) = W_bac(i,j,k) + W_ikj(i,k,j,2)
W_bca(i,j,k) = W_bca(i,j,k) + W_ikj(i,k,j,3) W_cba(i,j,k) = W_cba(i,j,k) + W_ikj(i,k,j,3)
W_cab(i,j,k) = W_cab(i,j,k) + W_ikj(i,k,j,4) W_bca(i,j,k) = W_bca(i,j,k) + W_ikj(i,k,j,4)
W_cab(i,j,k) = W_cab(i,j,k) + W_ikj(i,k,j,5)
W_acb(i,j,k) = W_acb(i,j,k) + W_ikj(i,k,j,6)
enddo enddo
enddo enddo
enddo enddo
@ -282,28 +317,53 @@ end
! V_abc ! V_abc
subroutine form_v_abc(nO,nV,a,b,c,T_ov,X_oovv,W_abc,V_abc,W_cba) subroutine form_v_abc(nO,nV,a,b,c,T_ov,X_oovv,W_abc,V_abc,W_cba,V_cba,W_bca,V_bca,W_cab,V_cab,W_bac,V_bac,W_acb,V_acb)
implicit none implicit none
integer, intent(in) :: nO,nV,a,b,c integer, intent(in) :: nO,nV,a,b,c
double precision, intent(in) :: T_ov(nO,nV) double precision, intent(in) :: T_ov(nO,nV)
double precision, intent(in) :: X_oovv(nO,nO,nV,nV) double precision, intent(in) :: X_oovv(nO,nO,nV,nV)
double precision, intent(in) :: W_abc(nO,nO,nO), W_cba(nO,nO,nO) double precision, intent(in) :: W_abc(nO,nO,nO), W_cab(nO,nO,nO), W_bca(nO,nO,nO)
double precision, intent(out) :: V_abc(nO,nO,nO) double precision, intent(in) :: W_bac(nO,nO,nO), W_cba(nO,nO,nO), W_acb(nO,nO,nO)
double precision, intent(out) :: V_abc(nO,nO,nO), V_cab(nO,nO,nO), V_bca(nO,nO,nO)
double precision, intent(out) :: V_bac(nO,nO,nO), V_cba(nO,nO,nO), V_acb(nO,nO,nO)
integer :: i,j,k integer :: i,j,k
do k = 1, nO do k = 1, nO
do j = 1, nO do j = 1, nO
do i = 1, nO do i = 1, nO
V_abc(i,j,k) = W_abc(i,j,k) - W_cba(i,j,k) & V_abc(i,j,k) = W_abc(i,j,k) &
+ X_oovv(j,k,b,c) * T_ov(i,a) & + X_oovv(j,k,b,c) * T_ov(i,a) &
+ X_oovv(i,k,a,c) * T_ov(j,b) & + X_oovv(i,k,a,c) * T_ov(j,b) &
+ X_oovv(i,j,a,b) * T_ov(k,c) & + X_oovv(i,j,a,b) * T_ov(k,c)
- X_oovv(j,k,b,a) * T_ov(i,c) &
- X_oovv(i,k,c,a) * T_ov(j,b) & V_cba(i,j,k) = W_cba(i,j,k) &
- X_oovv(i,j,c,b) * T_ov(k,a) + X_oovv(j,k,b,a) * T_ov(i,c) &
+ X_oovv(i,k,c,a) * T_ov(j,b) &
+ X_oovv(i,j,c,b) * T_ov(k,a)
V_bca(i,j,k) = W_bca(i,j,k) &
+ X_oovv(j,k,c,a) * T_ov(i,b) &
+ X_oovv(i,k,b,a) * T_ov(j,c) &
+ X_oovv(i,j,b,c) * T_ov(k,a)
V_cab(i,j,k) = W_cab(i,j,k) &
+ X_oovv(j,k,a,b) * T_ov(i,c) &
+ X_oovv(i,k,c,b) * T_ov(j,a) &
+ X_oovv(i,j,c,a) * T_ov(k,b)
V_bac(i,j,k) = W_bac(i,j,k) &
+ X_oovv(j,k,a,c) * T_ov(i,b) &
+ X_oovv(i,k,b,c) * T_ov(j,a) &
+ X_oovv(i,j,b,a) * T_ov(k,c)
V_acb(i,j,k) = W_acb(i,j,k) &
+ X_oovv(j,k,c,b) * T_ov(i,a) &
+ X_oovv(i,k,a,b) * T_ov(j,c) &
+ X_oovv(i,j,a,c) * T_ov(k,b)
enddo enddo
enddo enddo
enddo enddo