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mirror of https://github.com/pfloos/quack synced 2025-04-02 15:01:34 +02:00
QuAcK/src/Parquet/R_screened_integrals.f90

300 lines
8.9 KiB
Fortran

subroutine R_eh_singlet_screened_integral(nOrb,nC,nO,nR,nS,ERI,eh_sing_Gam,XpY,rho)
! Compute excitation densities
implicit none
! Input variables
integer,intent(in) :: nOrb,nC,nO,nR,nS
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: eh_sing_Gam(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: XpY(nS,nS)
! Local variables
integer :: ia,jb,p,q,j,b
! Output variables
double precision,intent(out) :: rho(nOrb,nOrb,nS)
rho(:,:,:) = 0d0
! !$OMP PARALLEL &
! !$OMP SHARED(nC,nOrb,nR,nO,nS,rho,ERI,XpY,eh_sing_Gam) &
! !$OMP PRIVATE(q,p,jb,ia) &
! !$OMP DEFAULT(NONE)
! !$OMP DO
do q=nC+1,nOrb-nR
do p=nC+1,nOrb-nR
jb = 0
do j=nC+1,nO
do b=nO+1,nOrb-nR
jb = jb + 1
do ia=1,nS
rho(p,q,ia) = rho(p,q,ia) &
+ (2d0*ERI(p,j,q,b) - ERI(p,j,b,q))*XpY(ia,jb) &
+ 1d0*eh_sing_Gam(p,j,q,b)*XpY(ia,jb)
end do
end do
end do
end do
end do
! !$OMP END DO
! !$OMP END PARALLEL
end subroutine R_eh_singlet_screened_integral
subroutine R_eh_triplet_screened_integral(nOrb,nC,nO,nR,nS,ERI,eh_trip_Gam,XpY,rho)
! Compute excitation densities
implicit none
! Input variables
integer,intent(in) :: nOrb,nC,nO,nR,nS
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: eh_trip_Gam(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: XpY(nS,nS)
! Local variables
integer :: ia,jb,p,q,j,b
! Output variables
double precision,intent(out) :: rho(nOrb,nOrb,nS)
rho(:,:,:) = 0d0
! !$OMP PARALLEL &
! !$OMP SHARED(nC,nOrb,nR,nO,nS,rho,ERI,XpY,eh_trip_Gam) &
! !$OMP PRIVATE(q,p,jb,ia) &
! !$OMP DEFAULT(NONE)
! !$OMP DO
do q=nC+1,nOrb-nR
do p=nC+1,nOrb-nR
jb = 0
do j=nC+1,nO
do b=nO+1,nOrb-nR
jb = jb + 1
do ia=1,nS
rho(p,q,ia) = rho(p,q,ia) &
- ERI(p,j,b,q)*XpY(ia,jb) &
+ 1d0*eh_trip_Gam(p,j,q,b)*XpY(ia,jb)
end do
end do
end do
end do
end do
! !$OMP END DO
! !$OMP END PARALLEL
end subroutine R_eh_triplet_screened_integral
subroutine R_pp_singlet_screened_integral(nOrb,nC,nO,nV,nR,nOO,nVV,ERI,pp_sing_Gam,X1,Y1,rho1,X2,Y2,rho2)
! Compute excitation densities in the singlet pp channel
implicit none
! Input variables
integer,intent(in) :: nOrb,nC,nO,nV,nR
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: pp_sing_Gam(nOrb,nOrb,nOrb,nOrb)
integer,intent(in) :: nOO
integer,intent(in) :: nVV
double precision,intent(in) :: X1(nVV,nVV)
double precision,intent(in) :: Y1(nOO,nVV)
double precision,intent(in) :: X2(nVV,nOO)
double precision,intent(in) :: Y2(nOO,nOO)
! Local variables
integer :: i,j,k,l
integer :: a,b,c,d
integer :: p,q
integer :: ab,cd,ij,kl
double precision,external :: Kronecker_delta
! Output variables
double precision,intent(out) :: rho1(nOrb,nOrb,nVV)
double precision,intent(out) :: rho2(nOrb,nOrb,nOO)
integer :: dim_1, dim_2
! Initialization
rho1(:,:,:) = 0d0
rho2(:,:,:) = 0d0
! !$OMP PARALLEL DEFAULT(NONE) &
! !$OMP PRIVATE(p, q, a, b, ab, c, d, cd, i, j, ij, k, l, kl) &
! !$OMP SHARED(nC, nOrb, nR, nO, rho1, rho2, ERI, pp_sing_Gam, X1, Y1, X2, Y2)
! !$OMP DO COLLAPSE(2)
do q=nC+1,nOrb-nR
do p=nC+1,nOrb-nR
ab = 0
do a=nO+1,nOrb-nR
do b=a,nOrb-nR
ab = ab + 1
cd = 0
do c=nO+1,nOrb-nR
do d=c,nOrb-nR
cd = cd + 1
rho1(p,q,ab) = rho1(p,q,ab) &
+ (ERI(p,q,c,d) + ERI(p,q,d,c) + 1d0*pp_sing_Gam(p,q,c,d))*X1(cd,ab) &
/sqrt(1d0 + Kronecker_delta(c,d))
end do
end do
kl = 0
do k=nC+1,nO
do l=k,nO
kl = kl + 1
rho1(p,q,ab) = rho1(p,q,ab) &
+ (ERI(p,q,k,l) + ERI(p,q,l,k) + 1d0*pp_sing_Gam(p,q,k,l))*Y1(kl,ab) &
/sqrt(1d0 + Kronecker_delta(k,l))
end do
end do
end do
end do
ij = 0
do i=nC+1,nO
do j=i,nO
ij = ij + 1
cd = 0
do c=nO+1,nOrb-nR
do d=c,nOrb-nR
cd = cd + 1
rho2(p,q,ij) = rho2(p,q,ij) &
+ (ERI(p,q,c,d) + ERI(p,q,d,c) + 1d0*pp_sing_Gam(p,q,c,d))*X2(cd,ij) &
/sqrt(1d0 + Kronecker_delta(c,d))
end do
end do
kl = 0
do k=nC+1,nO
do l=k,nO
kl = kl + 1
rho2(p,q,ij) = rho2(p,q,ij) &
+ (ERI(p,q,k,l) + ERI(p,q,l,k) + 1d0*pp_sing_Gam(p,q,k,l))*Y2(kl,ij) &
/sqrt(1d0 + Kronecker_delta(k,l))
end do
end do
end do
end do
end do
end do
! !$OMP END DO
! !$OMP END PARALLEL
end subroutine R_pp_singlet_screened_integral
subroutine R_pp_triplet_screened_integral(nOrb,nC,nO,nV,nR,nOO,nVV,ERI,pp_trip_Gam,X1,Y1,rho1,X2,Y2,rho2)
! Compute excitation densities in the triplet pp channel
implicit none
! Input variables
integer,intent(in) :: nOrb,nC,nO,nV,nR
integer,intent(in) :: nOO
integer,intent(in) :: nVV
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: pp_trip_Gam(nOrb,nOrb,nOrb,nOrb)
double precision,intent(in) :: X1(nVV,nVV)
double precision,intent(in) :: Y1(nOO,nVV)
double precision,intent(in) :: X2(nVV,nOO)
double precision,intent(in) :: Y2(nOO,nOO)
! Local variables
integer :: i,j,k,l
integer :: a,b,c,d
integer :: p,q
integer :: ab,cd,ij,kl
double precision,external :: Kronecker_delta
! Output variables
double precision,intent(out) :: rho1(nOrb,nOrb,nVV)
double precision,intent(out) :: rho2(nOrb,nOrb,nOO)
integer :: dim_1, dim_2
! Initialization
rho1(:,:,:) = 0d0
rho2(:,:,:) = 0d0
dim_1 = (nOrb - nO) * (nOrb - nO - 1) / 2
dim_2 = nO * (nO - 1) / 2
! !$OMP PARALLEL DEFAULT(NONE) &
! !$OMP PRIVATE(p, q, a, b, ab, c, d, cd, i, j, ij, k, l, kl) &
! !$OMP SHARED(nC, nOrb, nR, nO, rho1, rho2, ERI, pp_trip_Gam, X1, Y1, X2, Y2)
! !$OMP DO COLLAPSE(2)
do q = nC+1, nOrb-nR
do p = nC+1, nOrb-nR
ab = 0
do a = nO+1, nOrb-nR
do b = a+1, nOrb-nR
ab = ab + 1
cd = 0
do c = nO+1, nOrb-nR
do d = c+1, nOrb-nR
cd = cd + 1
rho1(p,q,ab) = rho1(p,q,ab) &
+ (ERI(p,q,c,d) - ERI(p,q,d,c) + 1d0*pp_trip_Gam(p,q,c,d))*X1(cd,ab)
end do ! d
end do ! c
kl = 0
do k = nC+1, nO
do l = k+1, nO
kl = kl + 1
rho1(p,q,ab) = rho1(p,q,ab) &
+ (ERI(p,q,k,l) - ERI(p,q,l,k) + 1d0*pp_trip_Gam(p,q,k,l))*Y1(kl,ab)
end do ! l
end do ! k
end do ! b
end do ! a
ij = 0
do i = nC+1, nO
do j = i+1, nO
ij = ij + 1
cd = 0
do c = nO+1, nOrb-nR
do d = c+1, nOrb-nR
cd = cd + 1
rho2(p,q,ij) = rho2(p,q,ij) &
+ (ERI(p,q,c,d) - ERI(p,q,d,c) + 1d0*pp_trip_Gam(p,q,c,d))*X2(cd,ij)
end do ! d
end do ! c
kl = 0
do k = nC+1, nO
do l = k+1, nO
kl = kl + 1
rho2(p,q,ij) = rho2(p,q,ij) &
+ (ERI(p,q,k,l) - ERI(p,q,l,k) + 1d0*pp_trip_Gam(p,q,k,l))*Y2(kl,ij)
end do ! l
end do ! k
end do ! j
end do ! i
end do ! p
end do ! q
! !$OMP END DO
! !$OMP END PARALLEL
end subroutine R_pp_triplet_screened_integral