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quantum_package/src/Determinants/slater_rules.irp.f

1503 lines
47 KiB
Fortran
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2015-04-20 16:45:06 +02:00
subroutine get_excitation_degree(key1,key2,degree,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Returns the excitation degree between two determinants
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: key1(Nint,2)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: degree
integer :: l
ASSERT (Nint > 0)
degree = popcnt(xor( key1(1,1), key2(1,1))) + &
popcnt(xor( key1(1,2), key2(1,2)))
!DEC$ NOUNROLL
do l=2,Nint
degree = degree+ popcnt(xor( key1(l,1), key2(l,1))) + &
popcnt(xor( key1(l,2), key2(l,2)))
enddo
ASSERT (degree >= 0)
degree = ishft(degree,-1)
end
subroutine get_excitation(det1,det2,exc,degree,phase,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Returns the excitation operators between two determinants and the phase
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: det1(Nint,2)
integer(bit_kind), intent(in) :: det2(Nint,2)
integer, intent(out) :: exc(0:2,2,2)
integer, intent(out) :: degree
double precision, intent(out) :: phase
! exc(number,hole/particle,spin)
! ex :
! exc(0,1,1) = number of holes alpha
! exc(0,2,1) = number of particle alpha
! exc(0,2,2) = number of particle beta
! exc(1,2,1) = first particle alpha
! exc(1,1,1) = first hole alpha
! exc(1,2,2) = first particle beta
! exc(1,1,2) = first hole beta
ASSERT (Nint > 0)
!DIR$ FORCEINLINE
call get_excitation_degree(det1,det2,degree,Nint)
select case (degree)
case (3:)
degree = -1
return
case (2)
call get_double_excitation(det1,det2,exc,phase,Nint)
return
case (1)
call get_mono_excitation(det1,det2,exc,phase,Nint)
return
case(0)
return
end select
end
subroutine decode_exc(exc,degree,h1,p1,h2,p2,s1,s2)
use bitmasks
implicit none
BEGIN_DOC
! Decodes the exc arrays returned by get_excitation.
! h1,h2 : Holes
! p1,p2 : Particles
! s1,s2 : Spins (1:alpha, 2:beta)
! degree : Degree of excitation
END_DOC
integer, intent(in) :: exc(0:2,2,2),degree
integer, intent(out) :: h1,h2,p1,p2,s1,s2
ASSERT (degree > 0)
ASSERT (degree < 3)
select case(degree)
case(2)
if (exc(0,1,1) == 2) then
h1 = exc(1,1,1)
h2 = exc(2,1,1)
p1 = exc(1,2,1)
p2 = exc(2,2,1)
s1 = 1
s2 = 1
else if (exc(0,1,2) == 2) then
h1 = exc(1,1,2)
h2 = exc(2,1,2)
p1 = exc(1,2,2)
p2 = exc(2,2,2)
s1 = 2
s2 = 2
else
h1 = exc(1,1,1)
h2 = exc(1,1,2)
p1 = exc(1,2,1)
p2 = exc(1,2,2)
s1 = 1
s2 = 2
endif
case(1)
if (exc(0,1,1) == 1) then
h1 = exc(1,1,1)
h2 = 0
p1 = exc(1,2,1)
p2 = 0
s1 = 1
s2 = 0
else
h1 = exc(1,1,2)
h2 = 0
p1 = exc(1,2,2)
p2 = 0
s1 = 2
s2 = 0
endif
case(0)
h1 = 0
p1 = 0
h2 = 0
p2 = 0
s1 = 0
s2 = 0
end select
end
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subroutine get_double_excitation(det1,det2,exc,phase,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Returns the two excitation operators between two doubly excited determinants and the phase
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: det1(Nint,2)
integer(bit_kind), intent(in) :: det2(Nint,2)
integer, intent(out) :: exc(0:2,2,2)
double precision, intent(out) :: phase
integer :: tz
integer :: l, ispin, idx_hole, idx_particle, ishift
integer :: nperm
integer :: i,j,k,m,n
integer :: high, low
integer :: a,b,c,d
integer(bit_kind) :: hole, particle, tmp
double precision, parameter :: phase_dble(0:1) = (/ 1.d0, -1.d0 /)
ASSERT (Nint > 0)
nperm = 0
exc(0,1,1) = 0
exc(0,2,1) = 0
exc(0,1,2) = 0
exc(0,2,2) = 0
do ispin = 1,2
idx_particle = 0
idx_hole = 0
ishift = 1-bit_kind_size
do l=1,Nint
ishift = ishift + bit_kind_size
if (det1(l,ispin) == det2(l,ispin)) then
cycle
endif
tmp = xor( det1(l,ispin), det2(l,ispin) )
particle = iand(tmp, det2(l,ispin))
hole = iand(tmp, det1(l,ispin))
do while (particle /= 0_bit_kind)
tz = trailz(particle)
idx_particle = idx_particle + 1
exc(0,2,ispin) = exc(0,2,ispin) + 1
exc(idx_particle,2,ispin) = tz+ishift
particle = iand(particle,particle-1_bit_kind)
enddo
if (iand(exc(0,1,ispin),exc(0,2,ispin))==2) then ! exc(0,1,ispin)==2 or exc(0,2,ispin)==2
exit
endif
do while (hole /= 0_bit_kind)
tz = trailz(hole)
idx_hole = idx_hole + 1
exc(0,1,ispin) = exc(0,1,ispin) + 1
exc(idx_hole,1,ispin) = tz+ishift
hole = iand(hole,hole-1_bit_kind)
enddo
if (iand(exc(0,1,ispin),exc(0,2,ispin))==2) then ! exc(0,1,ispin)==2 or exc(0,2,ispin)
exit
endif
enddo
! TODO : Voir si il faut sortir i,n,k,m du case.
select case (exc(0,1,ispin))
case(0)
cycle
case(1)
low = min(exc(1,1,ispin), exc(1,2,ispin))
high = max(exc(1,1,ispin), exc(1,2,ispin))
ASSERT (low > 0)
j = ishft(low-1,-bit_kind_shift)+1 ! Find integer in array(Nint)
n = iand(low,bit_kind_size-1) ! mod(low,bit_kind_size)
ASSERT (high > 0)
k = ishft(high-1,-bit_kind_shift)+1
m = iand(high,bit_kind_size-1)
if (j==k) then
nperm = nperm + popcnt(iand(det1(j,ispin), &
iand( ibset(0_bit_kind,m-1)-1_bit_kind, &
ibclr(-1_bit_kind,n)+1_bit_kind ) ))
else
nperm = nperm + popcnt(iand(det1(k,ispin), &
ibset(0_bit_kind,m-1)-1_bit_kind)) + &
popcnt(iand(det1(j,ispin), ibclr(-1_bit_kind,n) +1_bit_kind))
do i=j+1,k-1
nperm = nperm + popcnt(det1(i,ispin))
end do
endif
case (2)
do i=1,2
low = min(exc(i,1,ispin), exc(i,2,ispin))
high = max(exc(i,1,ispin), exc(i,2,ispin))
ASSERT (low > 0)
j = ishft(low-1,-bit_kind_shift)+1 ! Find integer in array(Nint)
n = iand(low,bit_kind_size-1) ! mod(low,bit_kind_size)
ASSERT (high > 0)
k = ishft(high-1,-bit_kind_shift)+1
m = iand(high,bit_kind_size-1)
if (j==k) then
nperm = nperm + popcnt(iand(det1(j,ispin), &
iand( ibset(0_bit_kind,m-1)-1_bit_kind, &
ibclr(-1_bit_kind,n)+1_bit_kind ) ))
else
nperm = nperm + popcnt(iand(det1(k,ispin), &
ibset(0_bit_kind,m-1)-1_bit_kind)) + &
popcnt(iand(det1(j,ispin), ibclr(-1_bit_kind,n) +1_bit_kind))
do l=j+1,k-1
nperm = nperm + popcnt(det1(l,ispin))
end do
endif
enddo
a = min(exc(1,1,ispin), exc(1,2,ispin))
b = max(exc(1,1,ispin), exc(1,2,ispin))
c = min(exc(2,1,ispin), exc(2,2,ispin))
d = max(exc(2,1,ispin), exc(2,2,ispin))
if (c>a .and. c<b .and. d>b) then
nperm = nperm + 1
endif
exit
end select
enddo
phase = phase_dble(iand(nperm,1))
end
subroutine get_mono_excitation(det1,det2,exc,phase,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Returns the excitation operator between two singly excited determinants and the phase
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: det1(Nint,2)
integer(bit_kind), intent(in) :: det2(Nint,2)
integer, intent(out) :: exc(0:2,2,2)
double precision, intent(out) :: phase
integer :: tz
integer :: l, ispin, idx_hole, idx_particle, ishift
integer :: nperm
integer :: i,j,k,m,n
integer :: high, low
integer :: a,b,c,d
integer(bit_kind) :: hole, particle, tmp
double precision, parameter :: phase_dble(0:1) = (/ 1.d0, -1.d0 /)
ASSERT (Nint > 0)
nperm = 0
exc(0,1,1) = 0
exc(0,2,1) = 0
exc(0,1,2) = 0
exc(0,2,2) = 0
do ispin = 1,2
ishift = 1-bit_kind_size
do l=1,Nint
ishift = ishift + bit_kind_size
if (det1(l,ispin) == det2(l,ispin)) then
cycle
endif
tmp = xor( det1(l,ispin), det2(l,ispin) )
particle = iand(tmp, det2(l,ispin))
hole = iand(tmp, det1(l,ispin))
if (particle /= 0_bit_kind) then
tz = trailz(particle)
exc(0,2,ispin) = 1
exc(1,2,ispin) = tz+ishift
endif
if (hole /= 0_bit_kind) then
tz = trailz(hole)
exc(0,1,ispin) = 1
exc(1,1,ispin) = tz+ishift
endif
if ( iand(exc(0,1,ispin),exc(0,2,ispin)) /= 1) then ! exc(0,1,ispin)/=1 and exc(0,2,ispin) /= 1
cycle
endif
low = min(exc(1,1,ispin),exc(1,2,ispin))
high = max(exc(1,1,ispin),exc(1,2,ispin))
ASSERT (low > 0)
j = ishft(low-1,-bit_kind_shift)+1 ! Find integer in array(Nint)
n = iand(low,bit_kind_size-1) ! mod(low,bit_kind_size)
ASSERT (high > 0)
k = ishft(high-1,-bit_kind_shift)+1
m = iand(high,bit_kind_size-1)
if (j==k) then
nperm = popcnt(iand(det1(j,ispin), &
iand(ibset(0_bit_kind,m-1)-1_bit_kind,ibclr(-1_bit_kind,n)+1_bit_kind)))
else
nperm = nperm + popcnt(iand(det1(k,ispin),ibset(0_bit_kind,m-1)-1_bit_kind)) +&
popcnt(iand(det1(j,ispin),ibclr(-1_bit_kind,n)+1_bit_kind))
do i=j+1,k-1
nperm = nperm + popcnt(det1(i,ispin))
end do
endif
phase = phase_dble(iand(nperm,1))
return
enddo
enddo
end
subroutine i_H_j(key_i,key_j,Nint,hij)
use bitmasks
implicit none
BEGIN_DOC
! Returns <i|H|j> where i and j are determinants
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: key_i(Nint,2), key_j(Nint,2)
double precision, intent(out) :: hij
integer :: exc(0:2,2,2)
integer :: degree
double precision :: get_mo_bielec_integral_schwartz
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integer :: m,n,p,q
integer :: i,j,k
integer :: occ(Nint*bit_kind_size,2)
double precision :: diag_H_mat_elem, phase,phase_2
integer :: n_occ_alpha, n_occ_beta
logical :: has_mipi(Nint*bit_kind_size)
double precision :: mipi(Nint*bit_kind_size), miip(Nint*bit_kind_size)
PROVIDE mo_bielec_integrals_in_map mo_integrals_map
ASSERT (Nint > 0)
ASSERT (Nint == N_int)
ASSERT (sum(popcnt(key_i(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(key_i(:,2))) == elec_beta_num)
ASSERT (sum(popcnt(key_j(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(key_j(:,2))) == elec_beta_num)
hij = 0.d0
!DEC$ FORCEINLINE
call get_excitation_degree(key_i,key_j,degree,Nint)
select case (degree)
case (2)
call get_double_excitation(key_i,key_j,exc,phase,Nint)
if (exc(0,1,1) == 1) then
! Mono alpha, mono beta
hij = phase*get_mo_bielec_integral_schwartz( &
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exc(1,1,1), &
exc(1,1,2), &
exc(1,2,1), &
exc(1,2,2) ,mo_integrals_map)
else if (exc(0,1,1) == 2) then
! Double alpha
hij = phase*(get_mo_bielec_integral_schwartz( &
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exc(1,1,1), &
exc(2,1,1), &
exc(1,2,1), &
exc(2,2,1) ,mo_integrals_map) - &
get_mo_bielec_integral_schwartz( &
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exc(1,1,1), &
exc(2,1,1), &
exc(2,2,1), &
exc(1,2,1) ,mo_integrals_map) )
else if (exc(0,1,2) == 2) then
! Double beta
hij = phase*(get_mo_bielec_integral_schwartz( &
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exc(1,1,2), &
exc(2,1,2), &
exc(1,2,2), &
exc(2,2,2) ,mo_integrals_map) - &
get_mo_bielec_integral_schwartz( &
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exc(1,1,2), &
exc(2,1,2), &
exc(2,2,2), &
exc(1,2,2) ,mo_integrals_map) )
endif
case (1)
call get_mono_excitation(key_i,key_j,exc,phase,Nint)
call bitstring_to_list(key_i(1,1), occ(1,1), n_occ_alpha, Nint)
call bitstring_to_list(key_i(1,2), occ(1,2), n_occ_beta, Nint)
has_mipi = .False.
if (exc(0,1,1) == 1) then
! Mono alpha
m = exc(1,1,1)
p = exc(1,2,1)
do k = 1, elec_alpha_num
i = occ(k,1)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
miip(i) = get_mo_bielec_integral_schwartz(m,i,i,p,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_beta_num
i = occ(k,2)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
hij = hij + mipi(occ(k,1)) - miip(occ(k,1))
enddo
do k = 1, elec_beta_num
hij = hij + mipi(occ(k,2))
enddo
else
! Mono beta
m = exc(1,1,2)
p = exc(1,2,2)
do k = 1, elec_beta_num
i = occ(k,2)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
miip(i) = get_mo_bielec_integral_schwartz(m,i,i,p,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
i = occ(k,1)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
hij = hij + mipi(occ(k,1))
enddo
do k = 1, elec_beta_num
hij = hij + mipi(occ(k,2)) - miip(occ(k,2))
enddo
endif
hij = phase*(hij + mo_mono_elec_integral(m,p))
case (0)
hij = diag_H_mat_elem(key_i,Nint)
end select
end
subroutine i_H_j_phase_out(key_i,key_j,Nint,hij,phase,exc,degree)
use bitmasks
implicit none
BEGIN_DOC
! Returns <i|H|j> where i and j are determinants
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: key_i(Nint,2), key_j(Nint,2)
double precision, intent(out) :: hij, phase
integer,intent(out) :: exc(0:2,2,2)
integer,intent(out) :: degree
double precision :: get_mo_bielec_integral_schwartz
integer :: m,n,p,q
integer :: i,j,k
integer :: occ(Nint*bit_kind_size,2)
double precision :: diag_H_mat_elem
integer :: n_occ_alpha, n_occ_beta
logical :: has_mipi(Nint*bit_kind_size)
double precision :: mipi(Nint*bit_kind_size), miip(Nint*bit_kind_size)
PROVIDE mo_bielec_integrals_in_map mo_integrals_map
ASSERT (Nint > 0)
ASSERT (Nint == N_int)
ASSERT (sum(popcnt(key_i(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(key_i(:,2))) == elec_beta_num)
ASSERT (sum(popcnt(key_j(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(key_j(:,2))) == elec_beta_num)
hij = 0.d0
!DEC$ FORCEINLINE
call get_excitation_degree(key_i,key_j,degree,Nint)
select case (degree)
case (2)
call get_double_excitation(key_i,key_j,exc,phase,Nint)
if (exc(0,1,1) == 1) then
! Mono alpha, mono beta
hij = phase*get_mo_bielec_integral_schwartz( &
exc(1,1,1), &
exc(1,1,2), &
exc(1,2,1), &
exc(1,2,2) ,mo_integrals_map)
else if (exc(0,1,1) == 2) then
! Double alpha
hij = phase*(get_mo_bielec_integral_schwartz( &
exc(1,1,1), &
exc(2,1,1), &
exc(1,2,1), &
exc(2,2,1) ,mo_integrals_map) - &
get_mo_bielec_integral_schwartz( &
exc(1,1,1), &
exc(2,1,1), &
exc(2,2,1), &
exc(1,2,1) ,mo_integrals_map) )
else if (exc(0,1,2) == 2) then
! Double beta
hij = phase*(get_mo_bielec_integral_schwartz( &
exc(1,1,2), &
exc(2,1,2), &
exc(1,2,2), &
exc(2,2,2) ,mo_integrals_map) - &
get_mo_bielec_integral_schwartz( &
exc(1,1,2), &
exc(2,1,2), &
exc(2,2,2), &
exc(1,2,2) ,mo_integrals_map) )
endif
case (1)
call get_mono_excitation(key_i,key_j,exc,phase,Nint)
call bitstring_to_list(key_i(1,1), occ(1,1), n_occ_alpha, Nint)
call bitstring_to_list(key_i(1,2), occ(1,2), n_occ_beta, Nint)
has_mipi = .False.
if (exc(0,1,1) == 1) then
! Mono alpha
m = exc(1,1,1)
p = exc(1,2,1)
do k = 1, elec_alpha_num
i = occ(k,1)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
miip(i) = get_mo_bielec_integral_schwartz(m,i,i,p,mo_integrals_map)
has_mipi(i) = .True.
endif
enddo
do k = 1, elec_beta_num
i = occ(k,2)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
hij = hij + mipi(occ(k,1)) - miip(occ(k,1))
enddo
do k = 1, elec_beta_num
hij = hij + mipi(occ(k,2))
enddo
else
! Mono beta
m = exc(1,1,2)
p = exc(1,2,2)
do k = 1, elec_beta_num
i = occ(k,2)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
miip(i) = get_mo_bielec_integral_schwartz(m,i,i,p,mo_integrals_map)
has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
i = occ(k,1)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
hij = hij + mipi(occ(k,1))
enddo
do k = 1, elec_beta_num
hij = hij + mipi(occ(k,2)) - miip(occ(k,2))
enddo
endif
hij = phase*(hij + mo_mono_elec_integral(m,p))
case (0)
hij = diag_H_mat_elem(key_i,Nint)
end select
end
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subroutine i_H_j_verbose(key_i,key_j,Nint,hij,hmono,hdouble)
use bitmasks
implicit none
BEGIN_DOC
! Returns <i|H|j> where i and j are determinants
END_DOC
integer, intent(in) :: Nint
integer(bit_kind), intent(in) :: key_i(Nint,2), key_j(Nint,2)
double precision, intent(out) :: hij,hmono,hdouble
integer :: exc(0:2,2,2)
integer :: degree
double precision :: get_mo_bielec_integral_schwartz
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integer :: m,n,p,q
integer :: i,j,k
integer :: occ(Nint*bit_kind_size,2)
double precision :: diag_H_mat_elem, phase,phase_2
integer :: n_occ_alpha, n_occ_beta
logical :: has_mipi(Nint*bit_kind_size)
double precision :: mipi(Nint*bit_kind_size), miip(Nint*bit_kind_size)
PROVIDE mo_bielec_integrals_in_map mo_integrals_map
ASSERT (Nint > 0)
ASSERT (Nint == N_int)
ASSERT (sum(popcnt(key_i(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(key_i(:,2))) == elec_beta_num)
ASSERT (sum(popcnt(key_j(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(key_j(:,2))) == elec_beta_num)
hij = 0.d0
hmono = 0.d0
hdouble = 0.d0
!DEC$ FORCEINLINE
call get_excitation_degree(key_i,key_j,degree,Nint)
select case (degree)
case (2)
call get_double_excitation(key_i,key_j,exc,phase,Nint)
if (exc(0,1,1) == 1) then
! Mono alpha, mono beta
hij = phase*get_mo_bielec_integral_schwartz( &
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exc(1,1,1), &
exc(1,1,2), &
exc(1,2,1), &
exc(1,2,2) ,mo_integrals_map)
else if (exc(0,1,1) == 2) then
! Double alpha
hij = phase*(get_mo_bielec_integral_schwartz( &
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exc(1,1,1), &
exc(2,1,1), &
exc(1,2,1), &
exc(2,2,1) ,mo_integrals_map) - &
get_mo_bielec_integral_schwartz( &
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exc(1,1,1), &
exc(2,1,1), &
exc(2,2,1), &
exc(1,2,1) ,mo_integrals_map) )
else if (exc(0,1,2) == 2) then
! Double beta
hij = phase*(get_mo_bielec_integral_schwartz( &
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exc(1,1,2), &
exc(2,1,2), &
exc(1,2,2), &
exc(2,2,2) ,mo_integrals_map) - &
get_mo_bielec_integral_schwartz( &
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exc(1,1,2), &
exc(2,1,2), &
exc(2,2,2), &
exc(1,2,2) ,mo_integrals_map) )
endif
case (1)
call get_mono_excitation(key_i,key_j,exc,phase,Nint)
call bitstring_to_list(key_i(1,1), occ(1,1), n_occ_alpha, Nint)
call bitstring_to_list(key_i(1,2), occ(1,2), n_occ_beta, Nint)
has_mipi = .False.
if (exc(0,1,1) == 1) then
! Mono alpha
m = exc(1,1,1)
p = exc(1,2,1)
do k = 1, elec_alpha_num
i = occ(k,1)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
miip(i) = get_mo_bielec_integral_schwartz(m,i,i,p,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_beta_num
i = occ(k,2)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
hdouble = hdouble + mipi(occ(k,1)) - miip(occ(k,1))
enddo
do k = 1, elec_beta_num
hdouble = hdouble + mipi(occ(k,2))
enddo
else
! Mono beta
m = exc(1,1,2)
p = exc(1,2,2)
do k = 1, elec_beta_num
i = occ(k,2)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
miip(i) = get_mo_bielec_integral_schwartz(m,i,i,p,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
i = occ(k,1)
if (.not.has_mipi(i)) then
mipi(i) = get_mo_bielec_integral_schwartz(m,i,p,i,mo_integrals_map)
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has_mipi(i) = .True.
endif
enddo
do k = 1, elec_alpha_num
hdouble = hdouble + mipi(occ(k,1))
enddo
do k = 1, elec_beta_num
hdouble = hdouble + mipi(occ(k,2)) - miip(occ(k,2))
enddo
endif
hmono = mo_mono_elec_integral(m,p)
hij = phase*(hdouble + hmono)
case (0)
hij = diag_H_mat_elem(key_i,Nint)
end select
end
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subroutine create_minilist(key_mask, fullList, miniList, idx_miniList, N_fullList, N_miniList, Nint)
use bitmasks
implicit none
integer(bit_kind), intent(in) :: fullList(Nint, 2, N_fullList)
integer, intent(in) :: N_fullList
integer(bit_kind),intent(out) :: miniList(Nint, 2, N_fullList)
integer,intent(out) :: idx_miniList(N_fullList), N_miniList
integer, intent(in) :: Nint
integer(bit_kind) :: key_mask(Nint, 2)
integer :: ni, i, n_a, n_b, e_a, e_b
n_a = 0
n_b = 0
do ni=1,nint
n_a = n_a + popcnt(key_mask(ni,1))
n_b = n_b + popcnt(key_mask(ni,2))
end do
if(n_a == 0) then
N_miniList = N_fullList
miniList(:,:,:) = fullList(:,:,:)
do i=1,N_fullList
idx_miniList(i) = i
end do
return
end if
N_miniList = 0
do i=1,N_fullList
e_a = n_a
e_b = n_b
do ni=1,nint
e_a -= popcnt(iand(fullList(ni, 1, i), key_mask(ni, 1)))
e_b -= popcnt(iand(fullList(ni, 2, i), key_mask(ni, 2)))
end do
if(e_a + e_b <= 2) then
N_miniList = N_miniList + 1
miniList(:,:,N_miniList) = fullList(:,:,i)
idx_miniList(N_miniList) = i
end if
end do
end subroutine
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subroutine create_minilist_find_previous(key_mask, fullList, miniList, N_fullList, N_miniList, fullMatch, Nint)
use bitmasks
implicit none
integer(bit_kind), intent(in) :: fullList(Nint, 2, N_fullList)
integer, intent(in) :: N_fullList
integer(bit_kind),intent(out) :: miniList(Nint, 2, N_fullList)
integer(bit_kind) :: subList(Nint, 2, N_fullList)
logical,intent(out) :: fullMatch
integer,intent(out) :: N_miniList
integer, intent(in) :: Nint
integer(bit_kind) :: key_mask(Nint, 2)
integer :: ni, i, k, l, N_subList
fullMatch = .false.
l = 0
N_miniList = 0
N_subList = 0
do ni = 1,Nint
l += popcnt(key_mask(ni,1)) + popcnt(key_mask(ni,2))
end do
if(l == 0) then
N_miniList = N_fullList
miniList(:,:,:N_miniList) = fullList(:,:,:N_minilist)
else
do i=N_fullList,1,-1
k = l
do ni=1,nint
k -= popcnt(iand(key_mask(ni,1), fullList(ni,1,i))) + popcnt(iand(key_mask(ni,2), fullList(ni,2,i)))
end do
if(k == 2) then
N_subList += 1
subList(:,:,N_subList) = fullList(:,:,i)
else if(k == 1) then
N_minilist += 1
miniList(:,:,N_minilist) = fullList(:,:,i)
else if(k == 0) then
fullMatch = .true.
return
end if
end do
end if
if(N_subList > 0) then
miniList(:,:,N_minilist+1:N_minilist+N_subList) = sublist(:,:,:N_subList)
N_minilist = N_minilist + N_subList
end if
end subroutine
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subroutine i_H_psi_nominilist(key,keys,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array)
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use bitmasks
implicit none
integer, intent(in) :: Nint, Ndet,Ndet_max,Nstate
integer(bit_kind), intent(in) :: keys(Nint,2,Ndet)
integer(bit_kind), intent(in) :: key(Nint,2)
double precision, intent(in) :: coef(Ndet_max,Nstate)
double precision, intent(out) :: i_H_psi_array(Nstate)
integer :: i, ii,j
double precision :: phase
integer :: exc(0:2,2,2)
double precision :: hij
integer :: idx(0:Ndet)
BEGIN_DOC
! <key|H|psi> for the various Nstates
END_DOC
ASSERT (Nint > 0)
ASSERT (N_int == Nint)
ASSERT (Nstate > 0)
ASSERT (Ndet > 0)
ASSERT (Ndet_max >= Ndet)
i_H_psi_array = 0.d0
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call filter_connected_i_H_psi0(keys,key,Nint,Ndet,idx)
do ii=1,idx(0)
i = idx(ii)
!DEC$ FORCEINLINE
call i_H_j(keys(1,1,i),key,Nint,hij)
do j = 1, Nstate
i_H_psi_array(j) = i_H_psi_array(j) + coef(i,j)*hij
enddo
enddo
end
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subroutine i_H_psi(key,keys,idx_key,N_minilist,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array)
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use bitmasks
implicit none
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integer, intent(in) :: Nint, Ndet,Ndet_max,Nstate,idx_key(Ndet), N_minilist
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integer(bit_kind), intent(in) :: keys(Nint,2,Ndet)
integer(bit_kind), intent(in) :: key(Nint,2)
double precision, intent(in) :: coef(Ndet_max,Nstate)
double precision, intent(out) :: i_H_psi_array(Nstate)
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integer :: i, ii,j, i_in_key, i_in_coef
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double precision :: phase
integer :: exc(0:2,2,2)
double precision :: hij
integer :: idx(0:Ndet)
BEGIN_DOC
! <key|H|psi> for the various Nstates
END_DOC
ASSERT (Nint > 0)
ASSERT (N_int == Nint)
ASSERT (Nstate > 0)
ASSERT (Ndet > 0)
ASSERT (Ndet_max >= Ndet)
i_H_psi_array = 0.d0
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!call filter_connected_i_H_psi0(keys,key,Nint,Ndet,idx)
call filter_connected_i_H_psi0(keys,key,Nint,N_minilist,idx)
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do ii=1,idx(0)
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!i = idx_key(idx(ii))
i_in_key = idx(ii)
i_in_coef = idx_key(idx(ii))
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!DEC$ FORCEINLINE
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! ! call i_H_j(keys(1,1,i),key,Nint,hij)
! ! do j = 1, Nstate
! ! i_H_psi_array(j) = i_H_psi_array(j) + coef(i,j)*hij
! ! enddo
call i_H_j(keys(1,1,i_in_key),key,Nint,hij)
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do j = 1, Nstate
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i_H_psi_array(j) = i_H_psi_array(j) + coef(i_in_coef,j)*hij
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enddo
enddo
end
subroutine i_H_psi_sec_ord(key,keys,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array,idx_interaction,interactions)
use bitmasks
implicit none
integer, intent(in) :: Nint, Ndet,Ndet_max,Nstate
integer(bit_kind), intent(in) :: keys(Nint,2,Ndet)
integer(bit_kind), intent(in) :: key(Nint,2)
double precision, intent(in) :: coef(Ndet_max,Nstate)
double precision, intent(out) :: i_H_psi_array(Nstate)
double precision, intent(out) :: interactions(Ndet)
integer,intent(out) :: idx_interaction(0:Ndet)
integer :: i, ii,j
double precision :: phase
integer :: exc(0:2,2,2)
double precision :: hij
integer :: idx(0:Ndet),n_interact
BEGIN_DOC
! <key|H|psi> for the various Nstates
END_DOC
ASSERT (Nint > 0)
ASSERT (N_int == Nint)
ASSERT (Nstate > 0)
ASSERT (Ndet > 0)
ASSERT (Ndet_max >= Ndet)
i_H_psi_array = 0.d0
call filter_connected_i_H_psi0(keys,key,Nint,Ndet,idx)
n_interact = 0
do ii=1,idx(0)
i = idx(ii)
!DEC$ FORCEINLINE
call i_H_j(keys(1,1,i),key,Nint,hij)
if(dabs(hij).ge.1.d-8)then
if(i.ne.1)then
n_interact += 1
interactions(n_interact) = hij
idx_interaction(n_interact) = i
endif
endif
do j = 1, Nstate
i_H_psi_array(j) = i_H_psi_array(j) + coef(i,j)*hij
enddo
enddo
idx_interaction(0) = n_interact
end
subroutine i_H_psi_SC2(key,keys,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array,idx_repeat)
use bitmasks
BEGIN_DOC
! <key|H|psi> for the various Nstate
!
! returns in addition
!
! the array of the index of the non connected determinants to key1
!
! in order to know what double excitation can be repeated on key1
!
! idx_repeat(0) is the number of determinants that can be used
!
! to repeat the excitations
END_DOC
implicit none
integer, intent(in) :: Nint, Ndet,Ndet_max,Nstate
integer(bit_kind), intent(in) :: keys(Nint,2,Ndet)
integer(bit_kind), intent(in) :: key(Nint,2)
double precision, intent(in) :: coef(Ndet_max,Nstate)
double precision, intent(out) :: i_H_psi_array(Nstate)
integer , intent(out) :: idx_repeat(0:Ndet)
integer :: i, ii,j
double precision :: phase
integer :: exc(0:2,2,2)
double precision :: hij
integer :: idx(0:Ndet)
ASSERT (Nint > 0)
ASSERT (N_int == Nint)
ASSERT (Nstate > 0)
ASSERT (Ndet > 0)
ASSERT (Ndet_max >= Ndet)
i_H_psi_array = 0.d0
call filter_connected_i_H_psi0_SC2(keys,key,Nint,Ndet,idx,idx_repeat)
do ii=1,idx(0)
i = idx(ii)
!DEC$ FORCEINLINE
call i_H_j(keys(1,1,i),key,Nint,hij)
do j = 1, Nstate
i_H_psi_array(j) = i_H_psi_array(j) + coef(i,j)*hij
enddo
enddo
end
subroutine i_H_psi_SC2_verbose(key,keys,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array,idx_repeat)
use bitmasks
BEGIN_DOC
! <key|H|psi> for the various Nstate
!
! returns in addition
!
! the array of the index of the non connected determinants to key1
!
! in order to know what double excitation can be repeated on key1
!
! idx_repeat(0) is the number of determinants that can be used
!
! to repeat the excitations
END_DOC
implicit none
integer, intent(in) :: Nint, Ndet,Ndet_max,Nstate
integer(bit_kind), intent(in) :: keys(Nint,2,Ndet)
integer(bit_kind), intent(in) :: key(Nint,2)
double precision, intent(in) :: coef(Ndet_max,Nstate)
double precision, intent(out) :: i_H_psi_array(Nstate)
integer , intent(out) :: idx_repeat(0:Ndet)
integer :: i, ii,j
double precision :: phase
integer :: exc(0:2,2,2)
double precision :: hij
integer :: idx(0:Ndet)
ASSERT (Nint > 0)
ASSERT (N_int == Nint)
ASSERT (Nstate > 0)
ASSERT (Ndet > 0)
ASSERT (Ndet_max >= Ndet)
i_H_psi_array = 0.d0
call filter_connected_i_H_psi0_SC2(keys,key,Nint,Ndet,idx,idx_repeat)
print*,'--------'
do ii=1,idx(0)
print*,'--'
i = idx(ii)
!DEC$ FORCEINLINE
call i_H_j(keys(1,1,i),key,Nint,hij)
if (i==1)then
print*,'i==1 !!'
endif
print*,coef(i,1) * hij,coef(i,1),hij
do j = 1, Nstate
i_H_psi_array(j) = i_H_psi_array(j) + coef(i,j)*hij
enddo
print*,i_H_psi_array(1)
enddo
print*,'------'
end
subroutine get_excitation_degree_vector(key1,key2,degree,Nint,sze,idx)
use bitmasks
implicit none
BEGIN_DOC
! Applies get_excitation_degree to an array of determinants
END_DOC
integer, intent(in) :: Nint, sze
integer(bit_kind), intent(in) :: key1(Nint,2,sze)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: degree(sze)
integer, intent(out) :: idx(0:sze)
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integer :: i,l,d,m
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ASSERT (Nint > 0)
ASSERT (sze > 0)
l=1
if (Nint==1) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
d = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2)))
if (d > 4) then
cycle
else
degree(l) = ishft(d,-1)
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idx(l) = i
l = l+1
endif
enddo
else if (Nint==2) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
d = popcnt(xor( key1(1,1,i), key2(1,1))) + &
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popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2)))
if (d > 4) then
cycle
else
degree(l) = ishft(d,-1)
idx(l) = i
l = l+1
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endif
enddo
else if (Nint==3) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
d = popcnt(xor( key1(1,1,i), key2(1,1))) + &
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popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2))) + &
popcnt(xor( key1(3,1,i), key2(3,1))) + &
popcnt(xor( key1(3,2,i), key2(3,2)))
if (d > 4) then
cycle
else
degree(l) = ishft(d,-1)
idx(l) = i
l = l+1
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endif
enddo
else
!DIR$ LOOP COUNT (1000)
do i=1,sze
d = 0
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!DEC$ LOOP COUNT MIN(4)
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do m=1,Nint
d = d + popcnt(xor( key1(m,1,i), key2(m,1))) &
+ popcnt(xor( key1(m,2,i), key2(m,2)))
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enddo
if (d > 4) then
cycle
else
degree(l) = ishft(d,-1)
idx(l) = i
l = l+1
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endif
enddo
endif
idx(0) = l-1
end
double precision function diag_H_mat_elem(det_in,Nint)
implicit none
BEGIN_DOC
! Computes <i|H|i>
END_DOC
integer,intent(in) :: Nint
integer(bit_kind),intent(in) :: det_in(Nint,2)
integer(bit_kind) :: hole(Nint,2)
integer(bit_kind) :: particle(Nint,2)
integer :: i, nexc(2), ispin
integer :: occ_particle(Nint*bit_kind_size,2)
integer :: occ_hole(Nint*bit_kind_size,2)
integer(bit_kind) :: det_tmp(Nint,2)
integer :: na, nb
ASSERT (Nint > 0)
ASSERT (sum(popcnt(det_in(:,1))) == elec_alpha_num)
ASSERT (sum(popcnt(det_in(:,2))) == elec_beta_num)
nexc(1) = 0
nexc(2) = 0
do i=1,Nint
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hole(i,1) = xor(det_in(i,1),ref_bitmask(i,1))
hole(i,2) = xor(det_in(i,2),ref_bitmask(i,2))
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particle(i,1) = iand(hole(i,1),det_in(i,1))
particle(i,2) = iand(hole(i,2),det_in(i,2))
hole(i,1) = iand(hole(i,1),ref_bitmask(i,1))
hole(i,2) = iand(hole(i,2),ref_bitmask(i,2))
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nexc(1) = nexc(1) + popcnt(hole(i,1))
nexc(2) = nexc(2) + popcnt(hole(i,2))
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enddo
diag_H_mat_elem = ref_bitmask_energy
if (nexc(1)+nexc(2) == 0) then
return
endif
!call debug_det(det_in,Nint)
integer :: tmp
call bitstring_to_list(particle(1,1), occ_particle(1,1), tmp, Nint)
ASSERT (tmp == nexc(1))
call bitstring_to_list(particle(1,2), occ_particle(1,2), tmp, Nint)
ASSERT (tmp == nexc(2))
call bitstring_to_list(hole(1,1), occ_hole(1,1), tmp, Nint)
ASSERT (tmp == nexc(1))
call bitstring_to_list(hole(1,2), occ_hole(1,2), tmp, Nint)
ASSERT (tmp == nexc(2))
det_tmp = ref_bitmask
do ispin=1,2
na = elec_num_tab(ispin)
nb = elec_num_tab(iand(ispin,1)+1)
do i=1,nexc(ispin)
!DIR$ FORCEINLINE
call ac_operator( occ_particle(i,ispin), ispin, det_tmp, diag_H_mat_elem, Nint,na,nb)
!DIR$ FORCEINLINE
call a_operator ( occ_hole (i,ispin), ispin, det_tmp, diag_H_mat_elem, Nint,na,nb)
enddo
enddo
end
subroutine a_operator(iorb,ispin,key,hjj,Nint,na,nb)
use bitmasks
implicit none
BEGIN_DOC
! Needed for diag_H_mat_elem
END_DOC
integer, intent(in) :: iorb, ispin, Nint
integer, intent(inout) :: na, nb
integer(bit_kind), intent(inout) :: key(Nint,2)
double precision, intent(inout) :: hjj
integer :: occ(Nint*bit_kind_size,2)
integer :: other_spin
integer :: k,l,i
ASSERT (iorb > 0)
ASSERT (ispin > 0)
ASSERT (ispin < 3)
ASSERT (Nint > 0)
k = ishft(iorb-1,-bit_kind_shift)+1
ASSERT (k > 0)
l = iorb - ishft(k-1,bit_kind_shift)-1
key(k,ispin) = ibclr(key(k,ispin),l)
other_spin = iand(ispin,1)+1
!DIR$ FORCEINLINE
call get_occ_from_key(key,occ,Nint)
na -= 1
hjj -= mo_mono_elec_integral(iorb,iorb)
! Same spin
do i=1,na
hjj -= mo_bielec_integral_jj_anti(occ(i,ispin),iorb)
enddo
! Opposite spin
do i=1,nb
hjj -= mo_bielec_integral_jj(occ(i,other_spin),iorb)
enddo
end
subroutine ac_operator(iorb,ispin,key,hjj,Nint,na,nb)
use bitmasks
implicit none
BEGIN_DOC
! Needed for diag_H_mat_elem
END_DOC
integer, intent(in) :: iorb, ispin, Nint
integer, intent(inout) :: na, nb
integer(bit_kind), intent(inout) :: key(Nint,2)
double precision, intent(inout) :: hjj
integer :: occ(Nint*bit_kind_size,2)
integer :: other_spin
integer :: k,l,i
ASSERT (iorb > 0)
ASSERT (ispin > 0)
ASSERT (ispin < 3)
ASSERT (Nint > 0)
integer :: tmp
!DIR$ FORCEINLINE
call bitstring_to_list(key(1,1), occ(1,1), tmp, Nint)
ASSERT (tmp == elec_alpha_num)
!DIR$ FORCEINLINE
call bitstring_to_list(key(1,2), occ(1,2), tmp, Nint)
ASSERT (tmp == elec_beta_num)
k = ishft(iorb-1,-bit_kind_shift)+1
ASSERT (k > 0)
l = iorb - ishft(k-1,bit_kind_shift)-1
key(k,ispin) = ibset(key(k,ispin),l)
other_spin = iand(ispin,1)+1
hjj += mo_mono_elec_integral(iorb,iorb)
! Same spin
do i=1,na
hjj += mo_bielec_integral_jj_anti(occ(i,ispin),iorb)
enddo
! Opposite spin
do i=1,nb
hjj += mo_bielec_integral_jj(occ(i,other_spin),iorb)
enddo
na += 1
end
subroutine get_occ_from_key(key,occ,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Returns a list of occupation numbers from a bitstring
END_DOC
integer(bit_kind), intent(in) :: key(Nint,2)
integer , intent(in) :: Nint
integer , intent(out) :: occ(Nint*bit_kind_size,2)
integer :: tmp
call bitstring_to_list(key(1,1), occ(1,1), tmp, Nint)
call bitstring_to_list(key(1,2), occ(1,2), tmp, Nint)
end
subroutine H_u_0(v_0,u_0,H_jj,n,keys_tmp,Nint)
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use bitmasks
implicit none
BEGIN_DOC
! Computes v_0 = H|u_0>
!
! n : number of determinants
!
! H_jj : array of <j|H|j>
END_DOC
integer, intent(in) :: n,Nint
double precision, intent(out) :: v_0(n)
double precision, intent(in) :: u_0(n)
double precision, intent(in) :: H_jj(n)
integer(bit_kind),intent(in) :: keys_tmp(Nint,2,n)
integer, allocatable :: idx(:)
double precision :: hij
double precision, allocatable :: vt(:)
integer :: i,j,k,l, jj,ii
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integer :: i0, j0
integer, allocatable :: shortcut(:), sort_idx(:)
integer(bit_kind), allocatable :: sorted(:,:), version(:,:)
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integer(bit_kind) :: sorted_i(Nint)
integer :: sh, sh2, ni, exa, ext, org_i, org_j, endi
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double precision :: local_threshold
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ASSERT (Nint > 0)
ASSERT (Nint == N_int)
ASSERT (n>0)
PROVIDE ref_bitmask_energy davidson_criterion
allocate (shortcut(0:n+1), sort_idx(n), sorted(Nint,n), version(Nint,n))
v_0 = 0.d0
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call sort_dets_ab_v(keys_tmp, sorted, sort_idx, shortcut, version, n, Nint)
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!$OMP PARALLEL DEFAULT(NONE) &
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!$OMP PRIVATE(i,hij,j,k,jj,vt,ii,sh,sh2,ni,exa,ext,org_i,org_j,endi,local_threshold,sorted_i)&
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!$OMP SHARED(n,H_jj,u_0,keys_tmp,Nint,v_0,threshold_davidson,sorted,shortcut,sort_idx,version)
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allocate(vt(n))
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Vt = 0.d0
!$OMP DO SCHEDULE(dynamic)
do sh=1,shortcut(0)
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do sh2=1,sh
exa = 0
do ni=1,Nint
exa = exa + popcnt(xor(version(ni,sh), version(ni,sh2)))
end do
if(exa > 2) then
cycle
end if
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do i=shortcut(sh),shortcut(sh+1)-1
org_i = sort_idx(i)
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local_threshold = threshold_davidson - dabs(u_0(org_i))
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if(sh==sh2) then
endi = i-1
else
endi = shortcut(sh2+1)-1
end if
do ni=1,Nint
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sorted_i(ni) = sorted(ni,i)
enddo
do j=shortcut(sh2),endi
org_j = sort_idx(j)
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if ( dabs(u_0(org_j)) > local_threshold ) then
ext = exa
do ni=1,Nint
ext = ext + popcnt(xor(sorted_i(ni), sorted(ni,j)))
end do
if(ext <= 4) then
call i_H_j(keys_tmp(1,1,org_j),keys_tmp(1,1,org_i),Nint,hij)
vt (org_i) = vt (org_i) + hij*u_0(org_j)
vt (org_j) = vt (org_j) + hij*u_0(org_i)
endif
endif
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enddo
enddo
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enddo
enddo
!$OMP END DO
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!$OMP CRITICAL
do i=1,n
v_0(i) = v_0(i) + vt(i)
enddo
!$OMP END CRITICAL
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deallocate(vt)
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!$OMP END PARALLEL
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call sort_dets_ba_v(keys_tmp, sorted, sort_idx, shortcut, version, n, Nint)
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!$OMP PARALLEL DEFAULT(NONE) &
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!$OMP PRIVATE(i,hij,j,k,jj,vt,ii,sh,sh2,ni,exa,ext,org_i,org_j,endi,local_threshold)&
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!$OMP SHARED(n,H_jj,u_0,keys_tmp,Nint,v_0,threshold_davidson,sorted,shortcut,sort_idx,version)
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allocate(vt(n))
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Vt = 0.d0
!$OMP DO SCHEDULE(dynamic)
do sh=1,shortcut(0)
do i=shortcut(sh),shortcut(sh+1)-1
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local_threshold = threshold_davidson - dabs(u_0(org_i))
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org_i = sort_idx(i)
do j=shortcut(sh),i-1
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org_j = sort_idx(j)
if ( dabs(u_0(org_j)) > local_threshold ) then
ext = 0
do ni=1,Nint
ext = ext + popcnt(xor(sorted(ni,i), sorted(ni,j)))
end do
if(ext == 4) then
call i_H_j(keys_tmp(1,1,org_j),keys_tmp(1,1,org_i),Nint,hij)
vt (org_i) = vt (org_i) + hij*u_0(org_j)
vt (org_j) = vt (org_j) + hij*u_0(org_i)
end if
end if
end do
end do
enddo
!$OMP END DO
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!$OMP CRITICAL
do i=1,n
v_0(i) = v_0(i) + vt(i)
enddo
!$OMP END CRITICAL
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deallocate(vt)
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!$OMP END PARALLEL
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do i=1,n
v_0(i) += H_jj(i) * u_0(i)
enddo
deallocate (shortcut, sort_idx, sorted, version)
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end