quack/src/IntPak/G3eInt.f90

125 lines
3.4 KiB
Fortran

function G3eInt(debug,iType, &
ExpG13,ExpG23, &
ExpBra,CenterBra,AngMomBra, &
ExpKet,CenterKet,AngMomKet)
! Compute two-electron integrals over the Yukawa operator
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: debug
integer,intent(in) :: iType
double precision,intent(in) :: ExpG13,ExpG23
double precision,intent(in) :: ExpBra(3),ExpKet(3)
double precision,intent(in) :: CenterBra(3,3),CenterKet(3,3)
integer,intent(in) :: AngMomBra(3,3),AngMomKet(3,3)
! Local variables
double precision :: ExpG(3,3)
integer :: TotAngMomBra(3),TotAngMomKet(3)
double precision :: ExpZ(3)
double precision :: CenterZ(3,3),CenterAB(3,3),CenterZA(3,3)
double precision :: NormABSq(3)
double precision :: GAB(3)
double precision,allocatable :: Om(:)
double precision :: HRR3e,VRR3e
double precision :: DY0(3),DY1(3),D2Y0(3,3),D2Y1(3,3)
double precision :: delta0,delta1,Y0,Y1
integer :: i,j,maxm
double precision :: start_Om,finish_Om,t_Om,start_RR,finish_RR,t_RR
double precision :: a1a2a3b1b2b3
! Output variables
double precision :: G3eInt
! Gaussian geminal exponents
ExpG = 0d0
ExpG(1,3) = ExpG13
ExpG(2,3) = ExpG23
! Pre-computed quantities for shell-pair
do i=1,3
ExpZ(i) = ExpBra(i) + ExpKet(i)
enddo
NormABSq = 0d0
do i=1,3
do j=1,3
CenterZ(i,j) = (ExpBra(i)*CenterBra(i,j) + ExpKet(i)*CenterKet(i,j))/ExpZ(i)
CenterAB(i,j) = CenterBra(i,j) - CenterKet(i,j)
CenterZA(i,j) = CenterZ(i,j) - CenterBra(i,j)
NormABSq(i) = NormABSq(i) + CenterAB(i,j)**2
enddo
enddo
do i=1,3
GAB(i) = (pi/ExpZ(i))**(1.5d0)*exp(-ExpBra(i)*ExpKet(i)*NormABSq(i)/ExpZ(i))
enddo
! Pre-computed shell-sextet quantities
call FormVRR3e(ExpZ,ExpG,CenterZ,DY0,DY1,D2Y0,D2Y1,delta0,delta1,Y0,Y1)
! Total angular momemtum
maxm = 0
do i=1,3
TotAngMomBra(i) = AngMomBra(i,1) + AngMomBra(i,2) + AngMomBra(i,3)
TotAngMomKet(i) = AngMomKet(i,1) + AngMomKet(i,2) + AngMomKet(i,3)
maxm = maxm + TotAngMomBra(i) + TotAngMomKet(i)
enddo
! Pre-compute (000|000)^m
allocate(Om(0:maxm))
call cpu_time(start_Om)
call CalcOm3e(maxm,delta0,delta1,Y0,Y1,Om)
call cpu_time(finish_Om)
! Print (000|000)^m
if(.false.) then
write(*,*) '(000|000)^m'
do i=0,maxm
write(*,*) i,Om(i)
enddo
write(*,*)
endif
!------------------------------------------------------------------------
! Launch reccurence relations!
!------------------------------------------------------------------------
call cpu_time(start_RR)
if(TotAngMomKet(1) == 0 .and. TotAngMomKet(2) == 0 .and. TotAngMomKet(3) == 0) then
if(TotAngMomBra(1) == 0 .and. TotAngMomBra(2) == 0 .and. TotAngMomBra(3) == 0) then
a1a2a3b1b2b3 = Om(0)
else
a1a2a3b1b2b3 = VRR3e(0,AngMomBra,maxm,Om,ExpZ,CenterZA,DY0,DY1,D2Y0,D2Y1)
endif
else
a1a2a3b1b2b3 = HRR3e(AngMomBra,AngMomKet,maxm,Om,ExpZ,CenterAB,CenterZA,DY0,DY1,D2Y0,D2Y1)
endif
call cpu_time(finish_RR)
! Timings
t_Om = finish_Om - start_Om
t_RR = finish_RR - start_RR
! Print result
G3eInt = GAB(1)*GAB(2)*GAB(3)*a1a2a3b1b2b3
end function G3eInt