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QuantumPackage/src/two_body_rdm/example.irp.f

368 lines
14 KiB
Fortran

subroutine routine_active_only
implicit none
integer :: i,j,k,l,iorb,jorb,korb,lorb,istate
BEGIN_DOC
! This routine computes the two electron repulsion within the active space using various providers
!
END_DOC
double precision :: vijkl,get_two_e_integral
double precision :: wee_ab(N_states),rdmab
double precision :: wee_bb(N_states),rdmbb
double precision :: wee_aa(N_states),rdmaa
double precision :: wee_tot(N_states),rdmtot
double precision :: wee_aa_st_av, rdm_aa_st_av
double precision :: wee_bb_st_av, rdm_bb_st_av
double precision :: wee_ab_st_av, rdm_ab_st_av
double precision :: wee_tot_st_av, rdm_tot_st_av,spin_trace
double precision :: wee_aa_st_av_2,wee_ab_st_av_2,wee_bb_st_av_2,wee_tot_st_av_2,wee_tot_st_av_3
double precision :: accu_aa, accu_bb, accu_ab, accu_tot
wee_ab = 0.d0
wee_bb = 0.d0
wee_aa = 0.d0
wee_tot = 0.d0
wee_aa_st_av_2 = 0.d0
wee_bb_st_av_2 = 0.d0
wee_ab_st_av_2 = 0.d0
wee_tot_st_av_2 = 0.d0
wee_tot_st_av_3 = 0.d0
iorb = 1
jorb = 1
korb = 1
lorb = 1
vijkl = get_two_e_integral(lorb,korb,jorb,iorb,mo_integrals_map)
provide act_2_rdm_ab_mo act_2_rdm_aa_mo act_2_rdm_bb_mo act_2_rdm_spin_trace_mo
provide state_av_act_2_rdm_ab_mo state_av_act_2_rdm_aa_mo
provide state_av_act_2_rdm_bb_mo state_av_act_2_rdm_spin_trace_mo
i = 1
j = 2
! print*,'testing stuffs'
! istate = 1
! print*,'alpha/beta'
! print*,'',j,i,j,i
! print*,act_2_rdm_ab_mo(j,i,j,i,istate)
! print*,'',i,j,i,j
! print*,act_2_rdm_ab_mo(i,j,i,j,istate)
! print*,'alpha/alpha'
! print*,'',j,i,j,i
! print*,act_2_rdm_aa_mo(j,i,j,i,istate)
! print*,'',i,j,i,j
! print*,act_2_rdm_aa_mo(i,j,i,j,istate)
! print*,'spin_trace'
! print*,'',j,i,j,i
! print*,act_2_rdm_spin_trace_mo(j,i,j,i,istate)
! print*,'',i,j,i,j
! print*,act_2_rdm_spin_trace_mo(i,j,i,j,istate)
! stop
!
print*,'**************************'
print*,'**************************'
do istate = 1, N_states
!! PURE ACTIVE PART
!!
accu_aa = 0.d0
accu_bb = 0.d0
accu_ab = 0.d0
accu_tot = 0.d0
do i = 1, n_act_orb
iorb = list_act(i)
do j = 1, n_act_orb
jorb = list_act(j)
accu_bb += act_2_rdm_bb_mo(j,i,j,i,1)
accu_aa += act_2_rdm_aa_mo(j,i,j,i,1)
accu_ab += act_2_rdm_ab_mo(j,i,j,i,1)
accu_tot += act_2_rdm_spin_trace_mo(j,i,j,i,1)
do k = 1, n_act_orb
korb = list_act(k)
do l = 1, n_act_orb
lorb = list_act(l)
! 1 2 1 2 2 1 2 1
if(dabs(act_2_rdm_spin_trace_mo(i,j,k,l,istate) - act_2_rdm_spin_trace_mo(j,i,l,k,istate)).gt.1.d-10)then
print*,'Error in act_2_rdm_spin_trace_mo'
print*,"dabs(act_2_rdm_spin_trace_mo(i,j,k,l) - act_2_rdm_spin_trace_mo(j,i,l,k)).gt.1.d-10"
print*,i,j,k,l
print*,act_2_rdm_spin_trace_mo(i,j,k,l,istate),act_2_rdm_spin_trace_mo(j,i,l,k,istate),dabs(act_2_rdm_spin_trace_mo(i,j,k,l,istate) - act_2_rdm_spin_trace_mo(j,i,l,k,istate))
endif
! 1 2 1 2 1 2 1 2
if(dabs(act_2_rdm_spin_trace_mo(i,j,k,l,istate) - act_2_rdm_spin_trace_mo(k,l,i,j,istate)).gt.1.d-10)then
print*,'Error in act_2_rdm_spin_trace_mo'
print*,"dabs(act_2_rdm_spin_trace_mo(i,j,k,l,istate) - act_2_rdm_spin_trace_mo(k,l,i,j,istate),istate).gt.1.d-10"
print*,i,j,k,l
print*,act_2_rdm_spin_trace_mo(i,j,k,l,istate),act_2_rdm_spin_trace_mo(k,l,i,j,istate),dabs(act_2_rdm_spin_trace_mo(i,j,k,l,istate) - act_2_rdm_spin_trace_mo(k,l,i,j,istate))
endif
vijkl = get_two_e_integral(lorb,korb,jorb,iorb,mo_integrals_map)
rdmab = act_2_rdm_ab_mo(l,k,j,i,istate)
rdmaa = act_2_rdm_aa_mo(l,k,j,i,istate)
rdmbb = act_2_rdm_bb_mo(l,k,j,i,istate)
rdmtot = act_2_rdm_spin_trace_mo(l,k,j,i,istate)
spin_trace = rdmaa + rdmbb + rdmab
if(dabs(rdmtot- spin_trace).gt.1.d-10)then
print*,'Error in non state average !!!!'
print*,l,k,j,i
print*,lorb,korb,jorb,iorb
print*,spin_trace,rdmtot,dabs(spin_trace - rdmtot)
print*,'rdmab,rdmaa,rdmbb'
print*, rdmab,rdmaa,rdmbb
endif
wee_ab(istate) += 0.5d0 * vijkl * rdmab
wee_aa(istate) += 0.5d0 * vijkl * rdmaa
wee_bb(istate) += 0.5d0 * vijkl * rdmbb
wee_tot(istate) += 0.5d0 * vijkl * rdmtot
enddo
enddo
enddo
enddo
wee_aa_st_av_2 += wee_aa(istate) * state_average_weight(istate)
wee_bb_st_av_2 += wee_bb(istate) * state_average_weight(istate)
wee_ab_st_av_2 += wee_ab(istate) * state_average_weight(istate)
wee_tot_st_av_2 += wee_tot(istate) * state_average_weight(istate)
wee_tot_st_av_3 += psi_energy_two_e(istate) * state_average_weight(istate)
print*,''
print*,''
print*,'Active space only energy for state ',istate
print*,'wee_aa(istate) = ',wee_aa(istate)
print*,'wee_bb(istate) = ',wee_bb(istate)
print*,'wee_ab(istate) = ',wee_ab(istate)
print*,''
print*,'sum (istate) = ',wee_aa(istate) + wee_bb(istate) + wee_ab(istate)
print*,'wee_tot = ',wee_tot(istate)
print*,'Full energy '
print*,'psi_energy_two_e(istate)= ',psi_energy_two_e(istate)
print*,'--------------------------'
print*,'accu_aa = ',accu_aa
print*,'N_a (N_a-1) = ', elec_alpha_num*(elec_alpha_num-1)
print*,'accu_bb = ',accu_bb
print*,'2 N_b (N_b-1) = ', elec_beta_num*(elec_beta_num-1)*2
print*,'accu_ab = ',accu_ab
print*,'N_a N_b = ', elec_beta_num*elec_alpha_num
print*,'accu_tot = ',accu_tot
print*,'Ne(Ne-1) = ',(elec_num-1)*elec_num
enddo
wee_aa_st_av = 0.d0
wee_bb_st_av = 0.d0
wee_ab_st_av = 0.d0
wee_tot_st_av = 0.d0
do i = 1, n_act_orb
iorb = list_act(i)
do j = 1, n_act_orb
jorb = list_act(j)
do k = 1, n_act_orb
korb = list_act(k)
do l = 1, n_act_orb
lorb = list_act(l)
vijkl = get_two_e_integral(lorb,korb,jorb,iorb,mo_integrals_map)
if(dabs(state_av_act_2_rdm_spin_trace_mo(i,j,k,l) - state_av_act_2_rdm_spin_trace_mo(j,i,l,k)).gt.1.d-10)then
print*,'Error in state_av_act_2_rdm_spin_trace_mo'
print*,"dabs(state_av_act_2_rdm_spin_trace_mo(i,j,k,l) - state_av_act_2_rdm_spin_trace_mo(j,i,l,k)).gt.1.d-10"
print*,i,j,k,l
print*,state_av_act_2_rdm_spin_trace_mo(i,j,k,l),state_av_act_2_rdm_spin_trace_mo(j,i,l,k),dabs(state_av_act_2_rdm_spin_trace_mo(i,j,k,l) - state_av_act_2_rdm_spin_trace_mo(j,i,l,k))
endif
if(dabs(state_av_act_2_rdm_spin_trace_mo(i,j,k,l) - state_av_act_2_rdm_spin_trace_mo(k,l,i,j)).gt.1.d-10)then
print*,'Error in state_av_act_2_rdm_spin_trace_mo'
print*,"dabs(state_av_act_2_rdm_spin_trace_mo(i,j,k,l) - state_av_act_2_rdm_spin_trace_mo(k,l,i,j)).gt.1.d-10"
print*,i,j,k,l
print*,state_av_act_2_rdm_spin_trace_mo(i,j,k,l),state_av_act_2_rdm_spin_trace_mo(k,l,i,j),dabs(state_av_act_2_rdm_spin_trace_mo(i,j,k,l) - state_av_act_2_rdm_spin_trace_mo(k,l,i,j))
endif
rdm_aa_st_av = state_av_act_2_rdm_aa_mo(l,k,j,i)
rdm_bb_st_av = state_av_act_2_rdm_bb_mo(l,k,j,i)
rdm_ab_st_av = state_av_act_2_rdm_ab_mo(l,k,j,i)
spin_trace = rdm_aa_st_av + rdm_bb_st_av + rdm_ab_st_av
rdm_tot_st_av = state_av_act_2_rdm_spin_trace_mo(l,k,j,i)
if(dabs(spin_trace - rdm_tot_st_av).gt.1.d-10)then
print*,'Error !!!!'
print*,l,k,j,i
print*,spin_trace,rdm_tot_st_av,dabs(spin_trace - rdm_tot_st_av)
endif
wee_aa_st_av += 0.5d0 * vijkl * rdm_aa_st_av
wee_bb_st_av += 0.5d0 * vijkl * rdm_bb_st_av
wee_ab_st_av += 0.5d0 * vijkl * rdm_ab_st_av
wee_tot_st_av += 0.5d0 * vijkl * rdm_tot_st_av
enddo
enddo
enddo
enddo
print*,''
print*,''
print*,''
print*,'STATE AVERAGE ENERGY '
print*,'Active space only energy for state ',istate
print*,'wee_aa_st_av = ',wee_aa_st_av
print*,'wee_aa_st_av_2 = ',wee_aa_st_av_2
print*,'wee_bb_st_av = ',wee_bb_st_av
print*,'wee_bb_st_av_2 = ',wee_bb_st_av_2
print*,'wee_ab_st_av = ',wee_ab_st_av
print*,'wee_ab_st_av_2 = ',wee_ab_st_av_2
print*,'Sum of components = ',wee_aa_st_av+wee_bb_st_av+wee_ab_st_av
print*,'Sum of components_2 = ',wee_aa_st_av_2+wee_bb_st_av_2+wee_ab_st_av_2
print*,''
print*,'Full energy '
print*,'wee_tot_st_av = ',wee_tot_st_av
print*,'wee_tot_st_av_2 = ',wee_tot_st_av_2
print*,'wee_tot_st_av_3 = ',wee_tot_st_av_3
end
subroutine routine_full_mos
implicit none
integer :: i,j,k,l,iorb,jorb,korb,lorb,istate
BEGIN_DOC
! This routine computes the two electron repulsion using various providers
!
END_DOC
double precision :: vijkl,rdmaa,get_two_e_integral,rdmab,rdmbb,rdmtot
double precision :: wee_aa(N_states),wee_bb(N_states),wee_ab(N_states),wee_tot(N_states)
double precision :: wee_aa_st_av, rdm_aa_st_av
double precision :: wee_bb_st_av, rdm_bb_st_av
double precision :: wee_ab_st_av, rdm_ab_st_av
double precision :: wee_tot_st_av, rdm_tot_st_av
double precision :: wee_aa_st_av_2,wee_ab_st_av_2,wee_bb_st_av_2,wee_tot_st_av_2,wee_tot_st_av_3
double precision :: aa_norm(N_states),bb_norm(N_states),ab_norm(N_states),tot_norm(N_states)
aa_norm = 0.d0
bb_norm = 0.d0
ab_norm = 0.d0
tot_norm = 0.d0
wee_aa = 0.d0
wee_ab = 0.d0
wee_bb = 0.d0
wee_tot = 0.d0
wee_aa_st_av_2 = 0.d0
wee_bb_st_av_2 = 0.d0
wee_ab_st_av_2 = 0.d0
wee_tot_st_av_2 = 0.d0
wee_tot_st_av_3 = 0.d0
iorb = 1
jorb = 1
korb = 1
lorb = 1
vijkl = get_two_e_integral(lorb,korb,jorb,iorb,mo_integrals_map)
provide full_occ_2_rdm_ab_mo full_occ_2_rdm_aa_mo full_occ_2_rdm_bb_mo full_occ_2_rdm_spin_trace_mo
print*,'**************************'
print*,'**************************'
do istate = 1, N_states
do i = 1, n_core_inact_act_orb
iorb = list_core_inact_act(i)
do j = 1, n_core_inact_act_orb
jorb = list_core_inact_act(j)
do k = 1, n_core_inact_act_orb
korb = list_core_inact_act(k)
do l = 1, n_core_inact_act_orb
lorb = list_core_inact_act(l)
vijkl = get_two_e_integral(lorb,korb,jorb,iorb,mo_integrals_map)
rdmaa = full_occ_2_rdm_aa_mo(l,k,j,i,istate)
rdmab = full_occ_2_rdm_ab_mo(l,k,j,i,istate)
rdmbb = full_occ_2_rdm_bb_mo(l,k,j,i,istate)
rdmtot = full_occ_2_rdm_spin_trace_mo(l,k,j,i,istate)
wee_ab(istate) += 0.5d0 * vijkl * rdmab
wee_aa(istate) += 0.5d0 * vijkl * rdmaa
wee_bb(istate) += 0.5d0 * vijkl * rdmbb
wee_tot(istate)+= 0.5d0 * vijkl * rdmtot
enddo
enddo
aa_norm(istate) += full_occ_2_rdm_aa_mo(j,i,j,i,istate)
bb_norm(istate) += full_occ_2_rdm_bb_mo(j,i,j,i,istate)
ab_norm(istate) += full_occ_2_rdm_ab_mo(j,i,j,i,istate)
tot_norm(istate)+= full_occ_2_rdm_spin_trace_mo(j,i,j,i,istate)
enddo
enddo
wee_aa_st_av_2 += wee_aa(istate) * state_average_weight(istate)
wee_bb_st_av_2 += wee_bb(istate) * state_average_weight(istate)
wee_ab_st_av_2 += wee_ab(istate) * state_average_weight(istate)
wee_tot_st_av_2 += wee_tot(istate) * state_average_weight(istate)
wee_tot_st_av_3 += psi_energy_two_e(istate) * state_average_weight(istate)
print*,''
print*,''
print*,'Full energy for state ',istate
print*,'wee_aa(istate) = ',wee_aa(istate)
print*,'wee_bb(istate) = ',wee_bb(istate)
print*,'wee_ab(istate) = ',wee_ab(istate)
print*,''
print*,'sum (istate) = ',wee_aa(istate) + wee_bb(istate) + wee_ab(istate)
print*,'wee_tot(istate) = ',wee_tot(istate)
print*,'psi_energy_two_e(istate)= ',psi_energy_two_e(istate)
print*,''
print*,'Normalization of two-rdms '
print*,''
print*,'aa_norm(istate) = ',aa_norm(istate)
print*,'N_alpha(N_alpha-1) = ',elec_num_tab(1) * (elec_num_tab(1) - 1)
print*,''
print*,'bb_norm(istate) = ',bb_norm(istate)
print*,'N_alpha(N_alpha-1) = ',elec_num_tab(2) * (elec_num_tab(2) - 1)
print*,''
print*,'ab_norm(istate) = ',ab_norm(istate)
print*,'N_alpha * N_beta *2 = ',elec_num_tab(1) * elec_num_tab(2) * 2
print*,''
print*,'tot_norm(istate) = ',tot_norm(istate)
print*,'N(N-1) = ',elec_num*(elec_num - 1)
enddo
! return
wee_aa_st_av = 0.d0
wee_bb_st_av = 0.d0
wee_ab_st_av = 0.d0
wee_tot_st_av = 0.d0
do i = 1, n_core_inact_act_orb
iorb = list_core_inact_act(i)
do j = 1, n_core_inact_act_orb
jorb = list_core_inact_act(j)
do k = 1, n_core_inact_act_orb
korb = list_core_inact_act(k)
do l = 1, n_core_inact_act_orb
lorb = list_core_inact_act(l)
vijkl = get_two_e_integral(lorb,korb,jorb,iorb,mo_integrals_map)
rdm_aa_st_av = state_av_full_occ_2_rdm_aa_mo(l,k,j,i)
rdm_bb_st_av = state_av_full_occ_2_rdm_bb_mo(l,k,j,i)
rdm_ab_st_av = state_av_full_occ_2_rdm_ab_mo(l,k,j,i)
rdm_tot_st_av = state_av_full_occ_2_rdm_spin_trace_mo(l,k,j,i)
wee_aa_st_av += 0.5d0 * vijkl * rdm_aa_st_av
wee_bb_st_av += 0.5d0 * vijkl * rdm_bb_st_av
wee_ab_st_av += 0.5d0 * vijkl * rdm_ab_st_av
wee_tot_st_av += 0.5d0 * vijkl * rdm_tot_st_av
enddo
enddo
enddo
enddo
print*,''
print*,''
print*,''
print*,'STATE AVERAGE ENERGY '
print*,'wee_aa_st_av = ',wee_aa_st_av
print*,'wee_bb_st_av = ',wee_bb_st_av
print*,'wee_ab_st_av = ',wee_ab_st_av
print*,'Sum of components = ',wee_aa_st_av + wee_bb_st_av + wee_ab_st_av
print*,''
print*,'Full energy '
print*,'wee_tot_st_av = ',wee_tot_st_av
print*,'wee_tot_st_av_3 = ',wee_tot_st_av_3
end