GHF search

This commit is contained in:
Pierre-Francois Loos 2023-11-04 15:17:39 +01:00
parent 67abf13740
commit 7847710059
9 changed files with 479 additions and 9 deletions

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@ -1,5 +1,5 @@
# RHF UHF GHF ROHF
T F F F
F T F F
# MP2 MP3
F F
# CCD pCCD DCD CCSD CCSD(T)

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@ -1,5 +1,5 @@
# HF: maxSCF thresh DIIS guess mix shift stab search
1000 0.0000001 5 1 0.0 0.0 F T
1000 0.00001 5 3 0.0 0.0 F T
# MP: reg
F
# CC: maxSCF thresh DIIS

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@ -66,7 +66,7 @@ subroutine GHF(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,
double precision,intent(out) :: EHF
double precision,intent(out) :: e(nBas2)
double precision,intent(out) :: C(nBas2,nBas2)
double precision,intent(inout):: C(nBas2,nBas2)
double precision,intent(out) :: P(nBas2,nBas2)
! Hello world

210
src/HF/GHF_search.f90 Normal file
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@ -0,0 +1,210 @@
subroutine GHF_search(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nBas2,nC,nO,nV,nR,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,e,c,P)
! Search for GHF solutions
implicit none
include 'parameters.h'
integer,intent(in) :: maxSCF
integer,intent(in) :: max_diis
integer,intent(in) :: guess_type
double precision,intent(in) :: thresh
double precision,intent(inout):: mix
double precision,intent(in) :: level_shift
integer,intent(in) :: nBas
integer,intent(in) :: nBas2
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
integer,intent(in) :: nNuc
double precision,intent(in) :: ZNuc(nNuc)
double precision,intent(in) :: rNuc(nNuc,ncart)
double precision,intent(in) :: ENuc
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: T(nBas,nBas)
double precision,intent(in) :: V(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
double precision,intent(in) :: ERI_AO(nBas,nBas,nBas,nBas)
double precision,intent(in) :: dipole_int_AO(nBas,nBas,ncart)
! Local variables
double precision :: start_HF ,end_HF ,t_HF
double precision :: start_stab ,end_stab ,t_stab
double precision :: start_AOtoMO ,end_AOtoMO ,t_AOtoMO
logical :: unstab
integer :: guess
double precision,allocatable :: ERI_MO(:,:,:,:)
double precision,allocatable :: ERI_tmp(:,:,:,:)
double precision,allocatable :: Ca(:,:),Cb(:,:)
integer :: nS
integer,parameter :: maxS = 20
integer :: ia,i,a,mu
integer :: ispin
double precision,allocatable :: Aph(:,:)
double precision,allocatable :: Bph(:,:)
double precision,allocatable :: AB(:,:)
double precision,allocatable :: Om(:)
integer :: eig
double precision :: kick,step
! Output variables
double precision,intent(out) :: EHF
double precision,intent(out) :: e(nBas)
double precision,intent(inout):: c(nBas,nBas)
double precision,intent(out) :: P(nBas,nBas)
! Memory allocation
write(*,*)
write(*,*) '****************************'
write(*,*) '* Search for GHF solutions *'
write(*,*) '****************************'
write(*,*)
!-------------------!
! Memory allocation !
!-------------------!
nS = (nO - nC)*(nV - nR)
allocate(ERI_MO(nBas2,nBas2,nBas2,nBas2),Aph(nS,nS),Bph(nS,nS),AB(nS,nS),Om(nS))
!------------------!
! Search algorithm !
!------------------!
unstab = .true.
guess = 0
do while(unstab)
!---------------------!
! Hartree-Fock module !
!---------------------!
call wall_time(start_HF)
call GHF(maxSCF,thresh,max_diis,guess,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nBas2,nO,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,e,c,P)
call wall_time(end_HF)
t_HF = end_HF - start_HF
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for GHF = ',t_HF,' seconds'
write(*,*)
!----------------------------------!
! AO to MO integral transformation !
!----------------------------------!
call wall_time(start_AOtoMO)
write(*,*)
write(*,*) 'AO to MO transformation... Please be patient'
write(*,*)
allocate(Ca(nBas,nBas2),Cb(nBas,nBas2),ERI_tmp(nBas2,nBas2,nBas2,nBas2))
Ca(:,:) = c(1:nBas,1:nBas2)
Cb(:,:) = c(nBas+1:nBas2,1:nBas2)
! 4-index transform
call AOtoMO_integral_transform_GHF(nBas,nBas2,Ca,Ca,Ca,Ca,ERI_AO,ERI_tmp)
ERI_MO(:,:,:,:) = ERI_tmp(:,:,:,:)
call AOtoMO_integral_transform_GHF(nBas,nBas2,Ca,Cb,Ca,Cb,ERI_AO,ERI_tmp)
ERI_MO(:,:,:,:) = ERI_MO(:,:,:,:) + ERI_tmp(:,:,:,:)
call AOtoMO_integral_transform_GHF(nBas,nBas2,Cb,Ca,Cb,Ca,ERI_AO,ERI_tmp)
ERI_MO(:,:,:,:) = ERI_MO(:,:,:,:) + ERI_tmp(:,:,:,:)
call AOtoMO_integral_transform_GHF(nBas,nBas2,Cb,Cb,Cb,Cb,ERI_AO,ERI_tmp)
ERI_MO(:,:,:,:) = ERI_MO(:,:,:,:) + ERI_tmp(:,:,:,:)
deallocate(Ca,Cb,ERI_tmp)
t_AOtoMO = end_AOtoMO - start_AOtoMO
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for AO to MO transformation = ',t_AOtoMO,' seconds'
write(*,*)
!-------------------------------------------------------------!
! Stability analysis: Real GHF -> Real GHF
!-------------------------------------------------------------!
ispin = 3
call phLR_A(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,e,ERI_MO,Aph)
call phLR_B(ispin,.false.,nBas,nC,nO,nV,nR,nS,1d0,ERI_MO,Bph)
AB(:,:) = Aph(:,:) + Bph(:,:)
call diagonalize_matrix(nS,AB,Om)
Om(:) = 0.5d0*Om(:)
write(*,*)'-------------------------------------------------------------'
write(*,*)'| Stability analysis: Real GHF -> Real GHF |'
write(*,*)'-------------------------------------------------------------'
write(*,'(1X,A1,1X,A5,1X,A1,1X,A23,1X,A1,1X,A23,1X,A1,1X)') &
'|','State','|',' Excitation energy (au) ','|',' Excitation energy (eV) ','|'
write(*,*)'-------------------------------------------------------------'
do ia=1,min(nS,maxS)
write(*,'(1X,A1,1X,I5,1X,A1,1X,F23.6,1X,A1,1X,F23.6,1X,A1,1X)') &
'|',ia,'|',Om(ia),'|',Om(ia)*HaToeV,'|'
enddo
write(*,*)'-------------------------------------------------------------'
if(minval(Om(:)) < 0d0) then
write(*,'(1X,A40,1X)') 'Too bad, GHF solution is unstable!'
write(*,'(1X,A40,1X,F15.10,A3)') 'Largest negative eigenvalue:',Om(1),' au'
write(*,*)
write(*,'(1X,A40,1X,A10)') 'Which one would you like to follow?','[Exit:0]'
read(*,*) eig
if(eig < 0 .or. eig > nS) then
write(*,'(1X,A40,1X,A10)') 'Invalid option...','Stop...'
write(*,*)
stop
end if
if(eig == 0) return
step = 1d0
do mu=1,nBas
ia = 0
do i=nC+1,nO
kick = 0d0
do a=nO+1,nBas-nR
ia = ia + 1
kick = kick + AB(ia,eig)*c(mu,a)
end do
c(mu,i) = c(mu,i) + step*kick
end do
end do
else
write(*,'(1X,A40,1X)') 'Well done, GHF solution is stable!'
write(*,'(1X,A40,1X,F15.10,A3)') 'Smallest eigenvalue: ',Om(1),' au'
unstab = .false.
end if
write(*,*)'-------------------------------------------------------------'
write(*,*)
!---------------!
! End of Search !
!---------------!
end do
end subroutine

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@ -1,7 +1,7 @@
subroutine RHF_search(maxSCF,thresh,max_diis,guess_type,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nC,nO,nV,nR,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,e,c,P)
! Restricted branch of QuAcK
! Search for RHF solutions
implicit none
include 'parameters.h'
@ -48,7 +48,6 @@ subroutine RHF_search(maxSCF,thresh,max_diis,guess_type,level_shift,nNuc,ZNuc,rN
double precision,allocatable :: Bph(:,:)
double precision,allocatable :: AB(:,:)
double precision,allocatable :: Om(:)
double precision,allocatable :: R(:,:)
integer :: eig
double precision :: kick,step
@ -73,7 +72,7 @@ subroutine RHF_search(maxSCF,thresh,max_diis,guess_type,level_shift,nNuc,ZNuc,rN
!-------------------!
nS = (nO - nC)*(nV - nR)
allocate(ERI_MO(nBas,nBas,nBas,nBas),Aph(nS,nS),Bph(nS,nS),AB(nS,nS),Om(nS),R(nBas,nBas))
allocate(ERI_MO(nBas,nBas,nBas,nBas),Aph(nS,nS),Bph(nS,nS),AB(nS,nS),Om(nS))
!------------------!
! Search algorithm !
@ -143,9 +142,17 @@ subroutine RHF_search(maxSCF,thresh,max_diis,guess_type,level_shift,nNuc,ZNuc,rN
write(*,'(1X,A40,1X)') 'Too bad, RHF solution is unstable!'
write(*,'(1X,A40,1X,F15.10,A3)') 'Largest negative eigenvalue:',Om(1),' au'
write(*,*)
write(*,'(1X,A40,1X)') 'Which one would you like to follow?'
write(*,'(1X,A40,1X,A10)') 'Which one would you like to follow?','[Exit:0]'
read(*,*) eig
if(eig < 0 .or. eig > nS) then
write(*,'(1X,A40,1X,A10)') 'Invalid option...','Stop...'
write(*,*)
stop
end if
if(eig == 0) return
step = 1d0
do mu=1,nBas
@ -171,6 +178,9 @@ subroutine RHF_search(maxSCF,thresh,max_diis,guess_type,level_shift,nNuc,ZNuc,rN
write(*,*)'-------------------------------------------------------------'
write(*,*)
!---------------!
! End of Search !
!---------------!
end do
end subroutine

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@ -59,7 +59,7 @@ subroutine UHF(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,
double precision,intent(out) :: EHF
double precision,intent(out) :: e(nBas,nspin)
double precision,intent(out) :: c(nBas,nBas,nspin)
double precision,intent(inout):: c(nBas,nBas,nspin)
double precision,intent(out) :: P(nBas,nBas,nspin)
! Hello world
@ -181,7 +181,7 @@ subroutine UHF(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,
! Mix guess for UHF solution in singlet states
if(nSCF == 1) call mix_guess(nBas,nO,mix,c)
if(nSCF == 1 .and. mix > 0d0) call mix_guess(nBas,nO,mix,c)
! Compute density matrix

223
src/HF/UHF_search.f90 Normal file
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@ -0,0 +1,223 @@
subroutine UHF_search(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nC,nO,nV,nR,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,e,c,P)
! Search for UHF solutions
implicit none
include 'parameters.h'
integer,intent(in) :: maxSCF
integer,intent(in) :: max_diis
integer,intent(in) :: guess_type
double precision,intent(in) :: thresh
double precision,intent(inout):: mix
double precision,intent(in) :: level_shift
integer,intent(in) :: nBas
integer,intent(in) :: nC(nspin)
integer,intent(in) :: nO(nspin)
integer,intent(in) :: nV(nspin)
integer,intent(in) :: nR(nspin)
integer,intent(in) :: nNuc
double precision,intent(in) :: ZNuc(nNuc)
double precision,intent(in) :: rNuc(nNuc,ncart)
double precision,intent(in) :: ENuc
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: T(nBas,nBas)
double precision,intent(in) :: V(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
double precision,intent(in) :: ERI_AO(nBas,nBas,nBas,nBas)
double precision,intent(in) :: dipole_int_AO(nBas,nBas,ncart)
! Local variables
double precision :: start_HF ,end_HF ,t_HF
double precision :: start_stab ,end_stab ,t_stab
double precision :: start_AOtoMO ,end_AOtoMO ,t_AOtoMO
logical :: unstab
integer :: guess
double precision,allocatable :: ERI_aaaa(:,:,:,:)
double precision,allocatable :: ERI_aabb(:,:,:,:)
double precision,allocatable :: ERI_bbbb(:,:,:,:)
integer :: nS(nspin)
integer,parameter :: maxS = 20
integer :: ia,i,a,mu
integer :: ispin
integer :: nS_aa,nS_bb,nS_sc
double precision,allocatable :: Om_sc(:)
double precision,allocatable :: A_sc(:,:)
double precision,allocatable :: B_sc(:,:)
double precision,allocatable :: AB_sc(:,:)
integer :: eig
double precision :: kick,step
! Output variables
double precision,intent(out) :: EHF
double precision,intent(out) :: e(nBas,nspin)
double precision,intent(inout):: c(nBas,nBas,nspin)
double precision,intent(out) :: P(nBas,nBas,nspin)
! Memory allocation
write(*,*)
write(*,*) '****************************'
write(*,*) '* Search for UHF solutions *'
write(*,*) '****************************'
write(*,*)
!-------------------!
! Memory allocation !
!-------------------!
nS(:) = (nO(:) - nC(:))*(nV(:) - nR(:))
nS_aa = nS(1)
nS_bb = nS(2)
nS_sc = nS_aa + nS_bb
allocate(ERI_aaaa(nBas,nBas,nBas,nBas),ERI_aabb(nBas,nBas,nBas,nBas),ERI_bbbb(nBas,nBas,nBas,nBas))
allocate(Om_sc(nS_sc),A_sc(nS_sc,nS_sc),B_sc(nS_sc,nS_sc),AB_sc(nS_sc,nS_sc))
!------------------!
! Search algorithm !
!------------------!
unstab = .true.
guess = 0
mix = 0d0
do while(unstab)
!---------------------!
! Hartree-Fock module !
!---------------------!
call wall_time(start_HF)
call UHF(maxSCF,thresh,max_diis,guess,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nO,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,e,c,P)
call wall_time(end_HF)
t_HF = end_HF - start_HF
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for UHF = ',t_HF,' seconds'
write(*,*)
!----------------------------------!
! AO to MO integral transformation !
!----------------------------------!
call wall_time(start_AOtoMO)
write(*,*)
write(*,*) 'AO to MO transformation... Please be patient'
write(*,*)
! 4-index transform for (aa|aa) block
call AOtoMO_integral_transform(1,1,1,1,nBas,c,ERI_AO,ERI_aaaa)
! 4-index transform for (aa|bb) block
call AOtoMO_integral_transform(1,1,2,2,nBas,c,ERI_AO,ERI_aabb)
! 4-index transform for (bb|bb) block
call AOtoMO_integral_transform(2,2,2,2,nBas,c,ERI_AO,ERI_bbbb)
call wall_time(end_AOtoMO)
t_AOtoMO = end_AOtoMO - start_AOtoMO
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for AO to MO transformation = ',t_AOtoMO,' seconds'
write(*,*)
!-------------------------------------------------------------!
! Stability analysis: Real UHF -> Real UHF
!-------------------------------------------------------------!
ispin = 1
call phULR_A(ispin,.false.,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0,e,ERI_aaaa,ERI_aabb,ERI_bbbb,A_sc)
call phULR_B(ispin,.false.,nBas,nC,nO,nV,nR,nS_aa,nS_bb,nS_sc,1d0,ERI_aaaa,ERI_aabb,ERI_bbbb,B_sc)
AB_sc(:,:) = A_sc(:,:) + B_sc(:,:)
call diagonalize_matrix(nS_sc,AB_sc,Om_sc)
Om_sc(:) = 0.5d0*Om_sc(:)
write(*,*)'-------------------------------------------------------------'
write(*,*)'| Stability analysis: Real UHF -> Real UHF |'
write(*,*)'-------------------------------------------------------------'
write(*,'(1X,A1,1X,A5,1X,A1,1X,A23,1X,A1,1X,A23,1X,A1,1X)') &
'|','State','|',' Excitation energy (au) ','|',' Excitation energy (eV) ','|'
write(*,*)'-------------------------------------------------------------'
do ia=1,min(nS_sc,maxS)
write(*,'(1X,A1,1X,I5,1X,A1,1X,F23.6,1X,A1,1X,F23.6,1X,A1,1X)') &
'|',ia,'|',Om_sc(ia),'|',Om_sc(ia)*HaToeV,'|'
enddo
write(*,*)'-------------------------------------------------------------'
if(minval(Om_sc(:)) < 0d0) then
write(*,'(1X,A40,1X)') 'Too bad, UHF solution is unstable!'
write(*,'(1X,A40,1X,F10.6,A3)') 'Largest negative eigenvalue:',Om_sc(1),' au'
write(*,*)
write(*,'(1X,A40,1X,A10)') 'Which one would you like to follow?','[Exit:0]'
read(*,*) eig
if(eig < 0 .or. eig > nS_sc) then
write(*,'(1X,A40,1X,A10)') 'Invalid option...','Stop...'
write(*,*)
stop
end if
if(eig == 0) return
step = 1d0
! Spin-up kick
do mu=1,nBas
ia = 0
do i=nC(1)+1,nO(1)
kick = 0d0
do a=nO(1)+1,nBas-nR(1)
ia = ia + 1
kick = kick + AB_sc(ia,eig)*c(mu,a,1)
end do
c(mu,i,1) = c(mu,i,1) + step*kick
end do
end do
! Spin-down kick
do mu=1,nBas
ia = nS_aa
do i=nC(2)+1,nO(2)
kick = 0d0
do a=nO(2)+1,nBas-nR(2)
ia = ia + 1
kick = kick + AB_sc(ia,eig)*c(mu,a,2)
end do
c(mu,i,2) = c(mu,i,2) + step*kick
end do
end do
else
write(*,'(1X,A40,1X)') 'Well done, UHF solution is stable!'
write(*,'(1X,A40,1X,F15.10,A3)') 'Smallest eigenvalue: ',Om_sc(1),' au'
unstab = .false.
end if
write(*,*)'-------------------------------------------------------------'
write(*,*)
!---------------!
! End of Search !
!---------------!
end do
end subroutine

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@ -174,6 +174,19 @@ subroutine GQuAcK(doGHF,dostab,dosearch,doMP2,doMP3,dophRPA,dophRPAx,doppRPA,
end if
if(dosearch) then
call wall_time(start_stab)
call GHF_search(maxSCF_HF,thresh_HF,max_diis_HF,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nBas2,nC,nO,nV,nR,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,epsHF,cHF,PHF)
call wall_time(end_stab)
t_stab = end_stab - start_stab
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for stability analysis = ',t_stab,' seconds'
write(*,*)
end if
!-----------------------!
! Moller-Plesset module !
!-----------------------!

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@ -201,6 +201,20 @@ subroutine UQuAcK(doUHF,dostab,dosearch,doMP2,doMP3,doCCD,dopCCD,doDCD,doCCSD,do
end if
if(dosearch) then
call wall_time(start_stab)
call UHF_search(maxSCF_HF,thresh_HF,max_diis_HF,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nC,nO,nV,nR,S,T,V,Hc,ERI_AO,dipole_int_AO,X,EHF,epsHF,cHF,PHF)
call wall_time(end_stab)
t_stab = end_stab - start_stab
write(*,'(A65,1X,F9.3,A8)') 'Total CPU time for stability analysis = ',t_stab,' seconds'
write(*,*)
end if
!-----------------------!
! Moller-Plesset module !
!-----------------------!