Introduced second order density matrix

This commit is contained in:
Anthony Scemama 2011-02-14 12:04:15 +01:00
parent 15082646ca
commit cd0cc7b1a5
2 changed files with 262 additions and 217 deletions

View File

@ -255,3 +255,258 @@ BEGIN_PROVIDER [ real, ci_mo, (mo_num,mo_num,3) ]
END_PROVIDER
BEGIN_PROVIDER [ integer, two_e_density_num_max ]
implicit none
BEGIN_DOC
! Number of factors containing the Slater rules
END_DOC
two_e_density_num_max = 2*mo_num
integer :: k,l
integer :: exc(3), nact, nact2, p, p2
integer :: det_exc
do k=1,det_num
do l=k,det_num
exc(1) = abs(det_exc(k,l,1))
exc(2) = abs(det_exc(k,l,2))
exc(3) = exc(1)+exc(2)
do p=1,2
p2 = 1+mod(p,2)
nact = elec_num_2(p) -mo_closed_num
nact2 = elec_num_2(p2)-mo_closed_num
if ( exc(3) == 0 ) then
two_e_density_num_max += 2*nact*mo_num
else if ( (exc(3) == 1).and.(exc(p) == 1) ) then
two_e_density_num_max += 2*mo_num
else if ( (exc(3) == 2).and.(exc(p) == 2) ) then
two_e_density_num_max += 2
else if ( (exc(3) == 2).and.(exc(p) == 1) ) then
two_e_density_num_max += 1
endif
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ integer, two_e_density_indice, (4,two_e_density_num_max) ]
&BEGIN_PROVIDER [ real, two_e_density_value, (2,two_e_density_num_max) ]
&BEGIN_PROVIDER [ integer, two_e_density_num ]
implicit none
BEGIN_DOC
! Compact representation of eplf factors
END_DOC
integer :: i,j,k,l,m
integer :: n,p,p2,q
integer :: ik,il,jk,jl, idx(4)
real :: phase
integer :: exc(4), nact, nact2
real :: det_kl
integer :: det_exc
two_e_density_num = 0
PROVIDE det
do k=1,det_num
do l=k,det_num
exc(1) = det_exc(k,l,1)
exc(2) = det_exc(k,l,2)
exc(4) = exc(1)*exc(2)
exc(1) = abs(exc(1))
exc(2) = abs(exc(2))
exc(3) = exc(1)+exc(2)
if (exc(4) /= 0) then
exc(4) = exc(4)/abs(exc(4))
else
exc(4) = 1
endif
phase = dble(exc(4))
det_kl = phase*det_coef(k)*det_coef(l)
if (k /= l) then
det_kl += det_kl
endif
logical :: notfound
BEGIN_SHELL [ /usr/bin/python ]
code = """
notfound = .True.
idx = (/ min(%(I)s,%(J)s), max(%(I)s,%(J)s), min(%(K)s,%(L)s), max(%(K)s,%(L)s) /)
do q=1,two_e_density_num
if (sum(abs(two_e_density_indice(:,q)-idx))) then
two_e_density_value(1,q) += det_kl
two_e_density_value(2,q) += det_kl
notfound = .False.
exit
endif
enddo
if (notfound) then
two_e_density_num += 1
two_e_density_indice(:,two_e_density_num)=idx
two_e_density_value(1,two_e_density_num) = det_kl
two_e_density_value(2,two_e_density_num) = det_kl
endif
notfound = .True.
idx = (/ min(%(I)s,%(K)s), max(%(I)s,%(K)s), min(%(J)s,%(L)s), max(%(J)s,%(L)s) /)
do q=1,two_e_density_num
if (sum(abs(two_e_density_indice(:,q)-idx))) then
two_e_density_value(1,q) -= det_kl
notfound = .False.
exit
endif
enddo
if (notfound) then
two_e_density_num += 1
two_e_density_indice(:,two_e_density_num)=idx
two_e_density_value(1,two_e_density_num) = -det_kl
two_e_density_value(2,two_e_density_num) = 0.
endif
"""
code1 = """
idx = (/ min(%(I)s,%(J)s), max(%(I)s,%(J)s), min(%(K)s,%(L)s), max(%(K)s,%(L)s) /)
notfound = .True.
do q=1,two_e_density_num
if (sum(abs(two_e_density_indice(:,q)-idx))) then
two_e_density_value(1,q) += det_kl
notfound = .False.
exit
endif
enddo
if (notfound) then
two_e_density_num += 1
two_e_density_indice(:,two_e_density_num)=idx
two_e_density_value(1,two_e_density_num) = det_kl
two_e_density_value(2,two_e_density_num) = 0.
endif
notfound = .True.
idx = (/ min(%(I)s,%(K)s), max(%(I)s,%(K)s), min(%(J)s,%(L)s), max(%(J)s,%(L)s) /)
do q=1,two_e_density_num
if (sum(abs(two_e_density_indice(:,q)-idx))) then
two_e_density_value(1,q) -= det_kl
notfound = .False.
exit
endif
enddo
if (notfound) then
two_e_density_num += 1
two_e_density_indice(:,two_e_density_num)=idx
two_e_density_value(1,two_e_density_num) = -det_kl
two_e_density_value(2,two_e_density_num) = 0.
endif
"""
code2 = """
notfound = .True.
idx = (/ min(%(I)s,%(J)s), max(%(I)s,%(J)s), min(%(K)s,%(L)s), max(%(K)s,%(L)s) /)
do q=1,two_e_density_num
if (sum(abs(two_e_density_indice(:,q)-idx))) then
two_e_density_value(2,q) += det_kl
notfound = .False.
exit
endif
enddo
if (notfound) then
two_e_density_num += 1
two_e_density_indice(:,two_e_density_num)=idx
two_e_density_value(1,two_e_density_num) = 0.
two_e_density_value(2,two_e_density_num) = det_kl
endif
"""
rep = { \
'CLOSED' : code%{ 'I':'ik', 'J':'il', 'K':'j', 'L':'j' },
'OPEN_CLOSED' : code%{ 'I':'j', 'J':'j', 'K':'ik', 'L':'il' },
'OPEN_OPEN_1' : code1%{ 'I':'ik', 'J':'il', 'K':'jk', 'L':'jl' },
'OPEN_OPEN_2' : code2%{ 'I':'ik', 'J':'il', 'K':'jk', 'L':'jl' }
}
print """
do p=1,2
p2 = 1+mod(p,2)
nact = elec_num_2(p) -mo_closed_num
nact2 = elec_num_2(p2)-mo_closed_num
if ( exc(3) == 0 ) then
do n=1,nact
ik = det(n,k,p)
il = det(n,l,p)
do j=1,mo_closed_num
! Closed-open shell interactions
%(CLOSED)s
!- Open-closed shell interactions
%(OPEN_CLOSED)s
enddo
!- Open-open shell interactions
do m=1,nact
jk = det(m,k,p)
jl = det(m,l,p)
%(OPEN_OPEN_1)s
enddo
do m=1,nact2
jk = det(m,k,p2)
jl = det(m,l,p2)
%(OPEN_OPEN_2)s
enddo
enddo
else if ( (exc(3) == 1).and.(exc(p) == 1) ) then
! Sum over only the sigma-sigma interactions involving the excitation
call get_single_excitation(k,l,ik,il,p)
do j=1,mo_closed_num
!- Open-closed shell interactions
%(CLOSED)s
!- Closed-open shell interactions
%(OPEN_CLOSED)s
enddo
!- Open-open shell interactions
do m=1,nact
jk = det(m,k,p)
jl = det(m,l,p)
%(OPEN_OPEN_1)s
enddo
do m=1,nact2
jk = det(m,k,p2)
jl = det(m,l,p2)
%(OPEN_OPEN_2)s
enddo
else if ( (exc(3) == 2).and.(exc(p) == 2) ) then
! Consider only the double excitations of same-spin electrons
call get_double_excitation(k,l,ik,il,jk,jl,p)
%(OPEN_OPEN_1)s
else if ( (exc(3) == 2).and.(exc(p) == 1) ) then
! Consider only the double excitations of opposite-spin electrons
call get_single_excitation(k,l,ik,il,p)
call get_single_excitation(k,l,jk,jl,p2)
%(OPEN_OPEN_2)s
endif
enddo
"""%(rep)
END_SHELL
enddo
enddo
END_PROVIDER

View File

@ -96,228 +96,18 @@ END_PROVIDER
integer :: k,l,m
do m=1,eplf_factor_num_max
i=eplf_factor_indice(1,m)
j=eplf_factor_indice(2,m)
k=eplf_factor_indice(3,m)
l=eplf_factor_indice(4,m)
do m=1,two_e_density_num
i=two_e_density_indice(1,m)
j=two_e_density_indice(2,m)
k=two_e_density_indice(3,m)
l=two_e_density_indice(4,m)
temp = mo_value_prod_p(i,j)*mo_eplf_integral_matrix(k,l)
eplf_up_up += eplf_factor_value(1,m)*temp
eplf_up_dn += eplf_factor_value(2,m)*temp
eplf_up_up += two_e_density_value(1,m)*temp
eplf_up_dn += two_e_density_value(2,m)*temp
enddo
END_PROVIDER
BEGIN_PROVIDER [ integer, eplf_factor_num_max ]
implicit none
BEGIN_DOC
! Number of factors containing the Slater rules
END_DOC
eplf_factor_num_max = 0
integer :: k,l
integer :: exc(3), nact, nact2, p, p2
integer :: det_exc
do k=1,det_num
do l=k,det_num
exc(1) = det_exc(k,l,1)
exc(2) = det_exc(k,l,2)
exc(4) = exc(1)*exc(2)
exc(1) = abs(exc(1))
exc(2) = abs(exc(2))
exc(3) = exc(1)+exc(2)
do p=1,2
p2 = 1+mod(p,2)
nact = elec_num_2(p) -mo_closed_num
nact2 = elec_num_2(p2)-mo_closed_num
if ( exc(3) == 0 ) then
eplf_factor_num_max += 2*nact*mo_num
else if ( (exc(3) == 1).and.(exc(p) == 1) ) then
eplf_factor_num_max += 2*mo_num
else if ( (exc(3) == 2).and.(exc(p) == 2) ) then
eplf_factor_num_max += 2
else if ( (exc(3) == 2).and.(exc(p) == 1) ) then
eplf_factor_num_max += 1
endif
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ integer, eplf_factor_indice, (4,eplf_factor_num_max) ]
&BEGIN_PROVIDER [ real, eplf_factor_value, (2,eplf_factor_num_max) ]
implicit none
BEGIN_DOC
! Compact representation of eplf factors
END_DOC
integer :: i,j,k,l,m
m=1
do i=1,mo_num
do j=1,mo_num
do k=1,mo_num
do l=1,mo_num
if ( (eplf_factor(1,l,k,j,i) /= 0.).or. &
(eplf_factor(2,l,k,j,i) /= 0.) ) then
eplf_factor_indice(1,m) = l
eplf_factor_indice(2,m) = k
eplf_factor_indice(3,m) = j
eplf_factor_indice(4,m) = i
eplf_factor_value(1,m) = eplf_factor(1,l,k,j,i)
eplf_factor_value(2,m) = eplf_factor(2,l,k,j,i)
m += 1
endif
enddo
enddo
enddo
enddo
FREE eplf_factor
END_PROVIDER
BEGIN_PROVIDER [ real, eplf_factor, (2,mo_num,mo_num,mo_num,mo_num) ]
implicit none
BEGIN_DOC
! Factors containing the Slater rules
END_DOC
integer :: i, j
integer :: k,l,m,n,p,p2
integer :: ik,il,jk,jl
real :: phase
integer :: exc(4), nact, nact2
real :: det_kl
integer :: det_exc
do m=1,2
do i=1,mo_num
do j=1,mo_num
do k=1,mo_num
do l=1,mo_num
eplf_factor(m,l,k,j,i) = 0.
enddo
enddo
enddo
enddo
enddo
PROVIDE det
do k=1,det_num
do l=k,det_num
exc(1) = det_exc(k,l,1)
exc(2) = det_exc(k,l,2)
exc(4) = exc(1)*exc(2)
exc(1) = abs(exc(1))
exc(2) = abs(exc(2))
exc(3) = exc(1)+exc(2)
if (exc(4) /= 0) then
exc(4) = exc(4)/abs(exc(4))
else
exc(4) = 1
endif
phase = dble(exc(4))
det_kl = phase*det_coef(k)*det_coef(l)
if (k /= l) then
det_kl += det_kl
endif
do p=1,2
p2 = 1+mod(p,2)
nact = elec_num_2(p) -mo_closed_num
nact2 = elec_num_2(p2)-mo_closed_num
if ( exc(3) == 0 ) then
do n=1,nact
jk = det(n,k,p)
jl = det(n,l,p)
do i=1,mo_closed_num
! Closed-open shell interactions
eplf_factor(1,jk,jl,i,i) += det_kl
eplf_factor(2,jk,jl,i,i) += det_kl
eplf_factor(1,i,jl,jk,i) -= det_kl
!- Open-closed shell interactions
eplf_factor(1,i,i,jk,jl) += det_kl
eplf_factor(2,i,i,jk,jl) += det_kl
eplf_factor(1,jk,i,i,jl) -= det_kl
enddo
!- Open-open shell interactions
do m=1,nact
ik = det(m,k,p)
il = det(m,l,p)
eplf_factor(1,ik,il,jk,jl) += det_kl
eplf_factor(1,jk,il,ik,jl) -= det_kl
enddo
do m=1,nact2
ik = det(m,k,p2)
il = det(m,l,p2)
eplf_factor(2,ik,il,jk,jl) += det_kl
enddo
enddo
else if ( (exc(3) == 1).and.(exc(p) == 1) ) then
! Sum over only the sigma-sigma interactions involving the excitation
call get_single_excitation(k,l,ik,il,p)
do i=1,mo_closed_num
!- Open-closed shell interactions
eplf_factor(1,ik,il,i,i) += det_kl
eplf_factor(2,ik,il,i,i) += det_kl
eplf_factor(1,i,il,ik,i) -= det_kl
!- Closed-open shell interactions
eplf_factor(1,i,i,jk,jl) += det_kl
eplf_factor(2,i,i,jk,jl) += det_kl
eplf_factor(1,jk,i,i,jl) -= det_kl
enddo
!- Open-open shell interactions
do m=1,nact
jk = det(m,k,p)
jl = det(m,l,p)
eplf_factor(1,ik,il,jk,jl) += det_kl
eplf_factor(1,jk,il,ik,jl) -= det_kl
enddo
do m=1,nact2
jk = det(m,k,p2)
jl = det(m,l,p2)
eplf_factor(2,ik,il,jk,jl) += det_kl
enddo
else if ( (exc(3) == 2).and.(exc(p) == 2) ) then
! Consider only the double excitations of same-spin electrons
call get_double_excitation(k,l,ik,il,jk,jl,p)
eplf_factor(1,ik,il,jk,jl) += det_kl
eplf_factor(1,jk,il,ik,jl) -= det_kl
else if ( (exc(3) == 2).and.(exc(p) == 1) ) then
! Consider only the double excitations of opposite-spin electrons
call get_single_excitation(k,l,ik,il,p)
call get_single_excitation(k,l,jk,jl,p2)
eplf_factor(2,ik,il,jk,jl) += det_kl
endif
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, eplf_value_p ]
implicit none