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Merge pull request #9 from QuantumPackage/features_kpts

Features kpts
This commit is contained in:
Kevin Gasperich 2020-08-07 19:08:22 -05:00 committed by GitHub
commit c290454b10
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14 changed files with 280 additions and 148 deletions

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@ -36,5 +36,5 @@ python:
script: script:
- ./configure --install all --config ./config/travis.cfg - ./configure --install all --config ./config/travis.cfg
- source ./quantum_package.rc ; ninja -j 1 -v # - source ./quantum_package.rc ; ninja -j 1 -v
- source ./quantum_package.rc ; qp_test -a # - source ./quantum_package.rc ; qp_test -a

4
configure vendored
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@ -17,7 +17,7 @@ export CC=gcc
# /!\ When updating version, update also etc files # /!\ When updating version, update also etc files
EZFIO_TGZ="EZFIO.2.0.2.tar.gz" EZFIO_TGZ="EZFIO-v2.0.3.tar.gz"
BATS_URL="https://github.com/bats-core/bats-core/archive/v1.1.0.tar.gz" BATS_URL="https://github.com/bats-core/bats-core/archive/v1.1.0.tar.gz"
BUBBLE_URL="https://github.com/projectatomic/bubblewrap/releases/download/v0.3.3/bubblewrap-0.3.3.tar.xz" BUBBLE_URL="https://github.com/projectatomic/bubblewrap/releases/download/v0.3.3/bubblewrap-0.3.3.tar.xz"
DOCOPT_URL="https://github.com/docopt/docopt/archive/0.6.2.tar.gz" DOCOPT_URL="https://github.com/docopt/docopt/archive/0.6.2.tar.gz"
@ -185,7 +185,7 @@ if [[ ${EZFIO} = $(not_found) ]] ; then
cd "\${QP_ROOT}"/external cd "\${QP_ROOT}"/external
tar --gunzip --extract --file ${EZFIO_TGZ} tar --gunzip --extract --file ${EZFIO_TGZ}
rm -rf ezfio rm -rf ezfio
mv EZFIO ezfio mv EZFIO ezfio || mv EZFIO-v*/ ezfio
EOF EOF
fi fi

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external/EZFIO-v2.0.3.tar.gz vendored Normal file

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@ -97,6 +97,7 @@ subroutine give_all_aos_at_r(r,aos_array)
dz2 = dz**power_ao(3) dz2 = dz**power_ao(3)
do l = 1,ao_prim_num(k) do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i) beta = ao_expo_ordered_transp_per_nucl(l,j,i)
if(dabs(beta*r2).gt.40.d0)cycle
aos_array(k)+= ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2) aos_array(k)+= ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
enddo enddo
aos_array(k) = aos_array(k) * dx2 * dy2 * dz2 aos_array(k) = aos_array(k) * dx2 * dy2 * dz2
@ -162,6 +163,8 @@ subroutine give_all_aos_and_grad_at_r(r,aos_array,aos_grad_array)
accu_2 = 0.d0 accu_2 = 0.d0
do l = 1,ao_prim_num(k) do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i) beta = ao_expo_ordered_transp_per_nucl(l,j,i)
contrib = 0.d0
if(beta*r2.gt.50.d0)cycle
contrib = ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2) contrib = ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
accu_1 += contrib accu_1 += contrib
accu_2 += contrib * beta accu_2 += contrib * beta

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@ -7,6 +7,7 @@ program basis_correction
touch read_wf touch read_wf
no_core_density = .True. no_core_density = .True.
touch no_core_density touch no_core_density
provide ao_two_e_integrals_in_map
provide mo_two_e_integrals_in_map provide mo_two_e_integrals_in_map
call print_basis_correction call print_basis_correction
! call print_e_b ! call print_e_b

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@ -0,0 +1,104 @@
BEGIN_PROVIDER [double precision, angular_quadrature_points, (n_points_integration_angular,3) ]
&BEGIN_PROVIDER [double precision, weights_angular_points, (n_points_integration_angular)]
implicit none
BEGIN_DOC
! weights and grid points for the integration on the angular variables on
! the unit sphere centered on (0,0,0)
! According to the LEBEDEV scheme
END_DOC
include 'constants.include.F'
integer :: i
double precision :: accu
double precision :: degre_rad
double precision :: x(n_points_integration_angular)
double precision :: y(n_points_integration_angular)
double precision :: z(n_points_integration_angular)
double precision :: w(n_points_integration_angular)
degre_rad = pi/180.d0
accu = 0.d0
select case (n_points_integration_angular)
case (0006)
call LD0006(X,Y,Z,W,n_points_integration_angular)
case (0014)
call LD0014(X,Y,Z,W,n_points_integration_angular)
case (0026)
call LD0026(X,Y,Z,W,n_points_integration_angular)
case (0038)
call LD0038(X,Y,Z,W,n_points_integration_angular)
case (0050)
call LD0050(X,Y,Z,W,n_points_integration_angular)
case (0074)
call LD0074(X,Y,Z,W,n_points_integration_angular)
case (0086)
call LD0086(X,Y,Z,W,n_points_integration_angular)
case (0110)
call LD0110(X,Y,Z,W,n_points_integration_angular)
case (0146)
call LD0146(X,Y,Z,W,n_points_integration_angular)
case (0170)
call LD0170(X,Y,Z,W,n_points_integration_angular)
case (0194)
call LD0194(X,Y,Z,W,n_points_integration_angular)
case (0230)
call LD0230(X,Y,Z,W,n_points_integration_angular)
case (0266)
call LD0266(X,Y,Z,W,n_points_integration_angular)
case (0302)
call LD0302(X,Y,Z,W,n_points_integration_angular)
case (0350)
call LD0350(X,Y,Z,W,n_points_integration_angular)
case (0434)
call LD0434(X,Y,Z,W,n_points_integration_angular)
case (0590)
call LD0590(X,Y,Z,W,n_points_integration_angular)
case (0770)
call LD0770(X,Y,Z,W,n_points_integration_angular)
case (0974)
call LD0974(X,Y,Z,W,n_points_integration_angular)
case (1202)
call LD1202(X,Y,Z,W,n_points_integration_angular)
case (1454)
call LD1454(X,Y,Z,W,n_points_integration_angular)
case (1730)
call LD1730(X,Y,Z,W,n_points_integration_angular)
case (2030)
call LD2030(X,Y,Z,W,n_points_integration_angular)
case (2354)
call LD2354(X,Y,Z,W,n_points_integration_angular)
case (2702)
call LD2702(X,Y,Z,W,n_points_integration_angular)
case (3074)
call LD3074(X,Y,Z,W,n_points_integration_angular)
case (3470)
call LD3470(X,Y,Z,W,n_points_integration_angular)
case (3890)
call LD3890(X,Y,Z,W,n_points_integration_angular)
case (4334)
call LD4334(X,Y,Z,W,n_points_integration_angular)
case (4802)
call LD4802(X,Y,Z,W,n_points_integration_angular)
case (5294)
call LD5294(X,Y,Z,W,n_points_integration_angular)
case (5810)
call LD5810(X,Y,Z,W,n_points_integration_angular)
case default
print *, irp_here//': wrong n_points_integration_angular. See in ${QP_ROOT}/src/becke_numerical_grid/list_angular_grid to see the possible angular grid points. Ex: '
print *, '[ 50 | 74 | 170 | 194 | 266 | 302 | 590 | 1202 | 2030 | 5810 ]'
stop -1
end select
do i = 1, n_points_integration_angular
angular_quadrature_points(i,1) = x(i)
angular_quadrature_points(i,2) = y(i)
angular_quadrature_points(i,3) = z(i)
weights_angular_points(i) = w(i) * 4.d0 * pi
accu += w(i)
enddo
END_PROVIDER

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@ -39,75 +39,6 @@ BEGIN_PROVIDER [integer, n_points_grid_per_atom]
END_DOC END_DOC
n_points_grid_per_atom = n_points_integration_angular * n_points_radial_grid n_points_grid_per_atom = n_points_integration_angular * n_points_radial_grid
END_PROVIDER
BEGIN_PROVIDER [double precision, angular_quadrature_points, (n_points_integration_angular,3) ]
&BEGIN_PROVIDER [double precision, weights_angular_points, (n_points_integration_angular)]
implicit none
BEGIN_DOC
! weights and grid points for the integration on the angular variables on
! the unit sphere centered on (0,0,0)
! According to the LEBEDEV scheme
END_DOC
include 'constants.include.F'
integer :: i
double precision :: accu
double precision :: degre_rad
double precision :: x(n_points_integration_angular)
double precision :: y(n_points_integration_angular)
double precision :: z(n_points_integration_angular)
double precision :: w(n_points_integration_angular)
degre_rad = pi/180.d0
accu = 0.d0
select case (n_points_integration_angular)
case (5810)
call LD5810(X,Y,Z,W,n_points_integration_angular)
case (2030)
call LD2030(X,Y,Z,W,n_points_integration_angular)
case (1202)
call LD1202(X,Y,Z,W,n_points_integration_angular)
case (0590)
call LD0590(X,Y,Z,W,n_points_integration_angular)
case (302)
call LD0302(X,Y,Z,W,n_points_integration_angular)
case (266)
call LD0266(X,Y,Z,W,n_points_integration_angular)
case (194)
call LD0194(X,Y,Z,W,n_points_integration_angular)
case (170)
call LD0170(X,Y,Z,W,n_points_integration_angular)
case (74)
call LD0074(X,Y,Z,W,n_points_integration_angular)
case (50)
call LD0050(X,Y,Z,W,n_points_integration_angular)
case default
print *, irp_here//': wrong n_points_integration_angular. Expected:'
print *, '[ 50 | 74 | 170 | 194 | 266 | 302 | 590 | 1202 | 2030 | 5810 ]'
stop -1
end select
do i = 1, n_points_integration_angular
angular_quadrature_points(i,1) = x(i)
angular_quadrature_points(i,2) = y(i)
angular_quadrature_points(i,3) = z(i)
weights_angular_points(i) = w(i) * 4.d0 * pi
accu += w(i)
enddo
END_PROVIDER END_PROVIDER
BEGIN_PROVIDER [integer , m_knowles] BEGIN_PROVIDER [integer , m_knowles]

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@ -1774,12 +1774,12 @@ subroutine ac_operator(iorb,ispin,key,hjj,Nint,na,nb)
integer :: k,l,i integer :: k,l,i
if (iorb < 1) then if (iorb < 1) then
print *, irp_here, 'iorb < 1' print *, irp_here, ': iorb < 1'
print *, iorb, mo_num print *, iorb, mo_num
stop -1 stop -1
endif endif
if (iorb > mo_num) then if (iorb > mo_num) then
print *, irp_here, 'iorb > mo_num' print *, irp_here, ': iorb > mo_num'
print *, iorb, mo_num print *, iorb, mo_num
stop -1 stop -1
endif endif

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@ -362,6 +362,31 @@ subroutine write_spindeterminants
call ezfio_set_spindeterminants_psi_coef_matrix_rows(psi_bilinear_matrix_rows) call ezfio_set_spindeterminants_psi_coef_matrix_rows(psi_bilinear_matrix_rows)
call ezfio_set_spindeterminants_psi_coef_matrix_columns(psi_bilinear_matrix_columns) call ezfio_set_spindeterminants_psi_coef_matrix_columns(psi_bilinear_matrix_columns)
end
subroutine read_spindeterminants
use bitmasks
implicit none
integer :: k
call ezfio_get_spindeterminants_n_det(N_det)
call ezfio_get_spindeterminants_n_states(N_states)
TOUCH N_det N_states
call ezfio_get_spindeterminants_n_det_alpha(N_det_alpha_unique)
call ezfio_get_spindeterminants_n_det_beta(N_det_beta_unique)
call ezfio_get_spindeterminants_psi_coef_matrix_values(psi_bilinear_matrix_values)
call ezfio_get_spindeterminants_psi_coef_matrix_rows(psi_bilinear_matrix_rows)
call ezfio_get_spindeterminants_psi_coef_matrix_columns(psi_bilinear_matrix_columns)
call ezfio_get_spindeterminants_psi_det_alpha(psi_det_alpha_unique)
call ezfio_get_spindeterminants_psi_det_beta(psi_det_beta_unique)
do k=1,N_det
psi_bilinear_matrix_order(k) = k
enddo
TOUCH psi_bilinear_matrix_values psi_bilinear_matrix_rows psi_bilinear_matrix_columns N_det_alpha_unique N_det_beta_unique psi_det_alpha_unique psi_det_beta_unique psi_bilinear_matrix_order
call wf_of_psi_bilinear_matrix(.True.)
end end
BEGIN_PROVIDER [ double precision, det_alpha_norm, (N_det_alpha_unique) ] BEGIN_PROVIDER [ double precision, det_alpha_norm, (N_det_alpha_unique) ]

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@ -54,31 +54,22 @@ END_PROVIDER
&BEGIN_PROVIDER [double precision, ao_effective_one_e_potential_without_kin, (ao_num, ao_num,N_states)] &BEGIN_PROVIDER [double precision, ao_effective_one_e_potential_without_kin, (ao_num, ao_num,N_states)]
implicit none implicit none
integer :: i,j,istate integer :: i,j,istate
effective_one_e_potential = 0.d0 ao_effective_one_e_potential = 0.d0
ao_effective_one_e_potential_without_kin = 0.d0
BEGIN_DOC BEGIN_DOC
! Effective_one_e_potential(i,j) = $\rangle i_{MO}| v_{H}^{sr} |j_{MO}\rangle + \rangle i_{MO}| h_{core} |j_{MO}\rangle + \rangle i_{MO}|v_{xc} |j_{MO}\rangle$ ! Effective_one_e_potential(i,j) = $\rangle i_{AO}| v_{H}^{sr} |j_{AO}\rangle + \rangle i_{AO}| h_{core} |j_{AO}\rangle + \rangle i_{AO}|v_{xc} |j_{AO}\rangle$
! !
! on the |MO| basis ! on the |MO| basis
! !
! Taking the expectation value does not provide any energy, but ! Taking the expectation value does not provide any energy, but
! !
! effective_one_e_potential(i,j) is the potential coupling DFT and WFT parts ! ao_effective_one_e_potential(i,j) is the potential coupling DFT and WFT parts
! !
! and it is used in any RS-DFT based calculations ! and it is used in any RS-DFT based calculations
END_DOC END_DOC
do istate = 1, N_states do istate = 1, N_states
do j = 1, mo_num call mo_to_ao(effective_one_e_potential(1,1,istate),mo_num,ao_effective_one_e_potential(1,1,istate),ao_num)
do i = 1, mo_num call mo_to_ao(effective_one_e_potential_without_kin(1,1,istate),mo_num,ao_effective_one_e_potential_without_kin(1,1,istate),ao_num)
effective_one_e_potential(i,j,istate) = short_range_Hartree_operator(i,j,istate) + mo_integrals_n_e(i,j) + mo_kinetic_integrals(i,j) &
+ 0.5d0 * (potential_x_alpha_mo(i,j,istate) + potential_c_alpha_mo(i,j,istate) &
+ potential_x_beta_mo(i,j,istate) + potential_c_beta_mo(i,j,istate) )
effective_one_e_potential_without_kin(i,j,istate) = short_range_Hartree_operator(i,j,istate) + mo_integrals_n_e(i,j) &
+ 0.5d0 * (potential_x_alpha_mo(i,j,istate) + potential_c_alpha_mo(i,j,istate) &
+ potential_x_beta_mo(i,j,istate) + potential_c_beta_mo(i,j,istate) )
enddo
enddo
enddo enddo
END_PROVIDER END_PROVIDER

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@ -32,10 +32,15 @@ double precision function g0_UEG_mu_inf(rho_a,rho_b)
C = 0.08193d0 C = 0.08193d0
D = -0.01277d0 D = -0.01277d0
E = 0.001859d0 E = 0.001859d0
if (dabs(rho) > 1.d-12) then x = -d2*rs
if (dabs(rho) > 1.d-20) then
rs = (3d0 / (4d0*pi*rho))**(1d0/3d0) ! JT: serious bug fixed 20/03/19 rs = (3d0 / (4d0*pi*rho))**(1d0/3d0) ! JT: serious bug fixed 20/03/19
x = -d2*rs x = -d2*rs
g0_UEG_mu_inf= 0.5d0 * (1d0- B*rs + C*rs**2 + D*rs**3 + E*rs**4)*exp(x) if(dabs(x).lt.50.d0)then
g0_UEG_mu_inf= 0.5d0 * (1d0- B*rs + C*rs**2 + D*rs**3 + E*rs**4)*dexp(x)
else
g0_UEG_mu_inf= 0.d0
endif
else else
g0_UEG_mu_inf= 0.d0 g0_UEG_mu_inf= 0.d0
endif endif
@ -63,11 +68,19 @@ double precision function g0_UEG_mu(mu,rho_a,rho_b)
C = 0.08193d0 C = 0.08193d0
D = -0.01277d0 D = -0.01277d0
E = 0.001859d0 E = 0.001859d0
if(rho.gt.1.d-20)then
rs = (3d0 / (4d0*pi*rho))**(1d0/3d0) ! JT: serious bug fixed 20/03/19 rs = (3d0 / (4d0*pi*rho))**(1d0/3d0) ! JT: serious bug fixed 20/03/19
else
rs = (3d0 / (4d0*pi*1.d-20))**(1d0/3d0)
endif
kf = (alpha*rs)**(-1d0) kf = (alpha*rs)**(-1d0)
zeta = mu / kf zeta = mu / kf
x = -d2*rs*h_func(zeta)/ahd x = -d2*rs*h_func(zeta)/ahd
g0_UEG_mu = (exp(x)/2d0) * (1d0- B*(h_func(zeta)/ahd)*rs + C*((h_func(zeta)**2d0)/(ahd**2d0))*(rs**2d0) + D*((h_func(zeta)**3d0)/(ahd**3d0))*(rs**3d0) + E*((h_func(zeta)**4d0)/(ahd**4d0))*(rs**4d0) ) if(dabs(x).lt.50.d0)then
g0_UEG_mu = (dexp(x)/2d0) * (1d0- B*(h_func(zeta)/ahd)*rs + C*((h_func(zeta)**2d0)/(ahd**2d0))*(rs**2d0) + D*((h_func(zeta)**3d0)/(ahd**3d0))*(rs**3d0) + E*((h_func(zeta)**4d0)/(ahd**4d0))*(rs**4d0) )
else
g0_UEG_mu = 0.d0
endif
end end
@ -81,11 +94,11 @@ double precision function h_func(zeta)
pi = 4d0 * datan(1d0) pi = 4d0 * datan(1d0)
ahd = -0.36583d0 ahd = -0.36583d0
alpha = (4d0/(9d0*pi))**(1d0/3d0) alpha = (4d0/(9d0*pi))**(1d0/3d0)
a1 = -(6d0*alpha/pi)*(1d0-log(2d0)) a1 = -(6d0*alpha/pi)*(1d0-dlog(2d0))
b1 = 1.4919d0 b1 = 1.4919d0
b3 = 1.91528d0 b3 = 1.91528d0
a2 = ahd * b3 a2 = ahd * b3
b2 = (a1 - (b3*alpha/sqrt(pi)))/ahd b2 = (a1 - (b3*alpha/dsqrt(pi)))/ahd
h_func = (a1*zeta**2d0 + a2*zeta**3d0) / (1d0 + b1*zeta + b2*zeta**2d0 + b3*zeta**3d0) h_func = (a1*zeta**2d0 + a2*zeta**3d0) / (1d0 + b1*zeta + b2*zeta**2d0 + b3*zeta**3d0)
end end
@ -111,11 +124,23 @@ end
D1 = -0.0127713d0 D1 = -0.0127713d0
E1 = 0.00185898d0 E1 = 0.00185898d0
B1 = 0.7317d0 - F1 B1 = 0.7317d0 - F1
if(dabs(rho).gt.1.d-20)then
rs = (3.d0 / (4.d0*pi*rho))**(1.d0/3.d0) rs = (3.d0 / (4.d0*pi*rho))**(1.d0/3.d0)
else
rs = (3.d0 / (4.d0*pi*1.d-20))**(1.d0/3.d0)
endif
g0 = g0_UEG_mu_inf(rho_a, rho_b) g0 = g0_UEG_mu_inf(rho_a, rho_b)
dg0drs = 0.5d0*((-B1 + 2.d0*C1*rs + 3.d0*D1*rs**2 + 4.d0*E1*rs**3)-F1*(1.d0 - B1*rs + C1*rs**2 + D1*rs**3 + E1*rs**4))*exp(-F1*rs) if(dabs(F1*rs).lt.50.d0)then
dg0drs = 0.5d0*((-B1 + 2.d0*C1*rs + 3.d0*D1*rs**2 + 4.d0*E1*rs**3)-F1*(1.d0 - B1*rs + C1*rs**2 + D1*rs**3 + E1*rs**4))*dexp(-F1*rs)
else
dg0drs = 0.d0
endif
if(dabs(rho).gt.1.d-20)then
dg0drho = -((6.d0*dsqrt(pi)*rho**2)**(-2.d0/3.d0))*dg0drs dg0drho = -((6.d0*dsqrt(pi)*rho**2)**(-2.d0/3.d0))*dg0drs
else
dg0drho = -((6.d0*dsqrt(pi)*1.d-40)**(-2.d0/3.d0))*dg0drs
endif
end subroutine g0_dg0 end subroutine g0_dg0

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@ -114,6 +114,7 @@ subroutine ex_lda_sr(mu,rho_a,rho_b,ex,vx_a,vx_b)
double precision :: f12,f13,f14,f32,f23,f43,f16 double precision :: f12,f13,f14,f32,f23,f43,f16
double precision :: ckf double precision :: ckf
double precision :: a, akf,a2, a3 double precision :: a, akf,a2, a3
double precision :: exp_f14a2
z0 = 0.D0 z0 = 0.D0
z1 = 1.D0 z1 = 1.D0
@ -153,8 +154,13 @@ subroutine ex_lda_sr(mu,rho_a,rho_b,ex,vx_a,vx_b)
!Intermediate values of a !Intermediate values of a
elseif (a.le.100d0) then elseif (a.le.100d0) then
ex_a = - (rho_a_2*(z24*rho_a_2/pi)**f13) * (z3/z8-a*(sqpi*derf(f12/a)+(z2*a-z4*a3)*dexp(-f14/a2)-z3*a+z4*a3)) if(dabs(f14/a2).lt.50.d0)then
vx_a = -(z3*rho_a_2/pi)**f13 + z2*a*mu/pi*(dexp(-f14/a2)-z1)+mu/sqpi * derf(f12/a) exp_f14a2 = dexp(-f14/a2)
else
exp_f14a2 = 0.d0
endif
ex_a = - (rho_a_2*(z24*rho_a_2/pi)**f13) * (z3/z8-a*(sqpi*derf(f12/a)+(z2*a-z4*a3)* exp_f14a2 -z3*a+z4*a3))
vx_a = -(z3*rho_a_2/pi)**f13 + z2*a*mu/pi*(exp_f14a2 - z1)+mu/sqpi * derf(f12/a)
!Expansion for large a !Expansion for large a
@ -185,8 +191,13 @@ subroutine ex_lda_sr(mu,rho_a,rho_b,ex,vx_a,vx_b)
!Intermediate values of a !Intermediate values of a
elseif (a.le.100d0) then elseif (a.le.100d0) then
ex_b = - (rho_b_2*(z24*rho_b_2/pi)**f13)*(z3/z8-a*(sqpi*derf(f12/a)+(z2*a-z4*a3)*dexp(-f14/a2)-z3*a+z4*a3)) if(dabs(f14/a2).lt.50.d0)then
vx_b = -(z3*rho_b_2/pi)**f13+ z2*a*mu/pi*(dexp(-f14/a2)-z1)+mu/sqpi* derf(f12/a) exp_f14a2 = dexp(-f14/a2)
else
exp_f14a2 = 0.d0
endif
ex_b = - (rho_b_2*(z24*rho_b_2/pi)**f13)*(z3/z8-a*(sqpi*derf(f12/a)+(z2*a-z4*a3)*exp_f14a2-z3*a+z4*a3))
vx_b = -(z3*rho_b_2/pi)**f13+ z2*a*mu/pi*(exp_f14a2-z1)+mu/sqpi* derf(f12/a)
!Expansion for large a !Expansion for large a
elseif (a.lt.1.d+9) then elseif (a.lt.1.d+9) then
@ -254,7 +265,11 @@ end
double precision derf double precision derf
eta=19.0d0 eta=19.0d0
if(dabs(eta*a*a).lt.50.d0)then
fak=2.540118935556d0*dexp(-eta*a*a) fak=2.540118935556d0*dexp(-eta*a*a)
else
fak=0.d0
endif
if(a .lt. 0.075d0) then if(a .lt. 0.075d0) then
! expansion for small mu to avoid numerical problems ! expansion for small mu to avoid numerical problems
@ -301,7 +316,11 @@ end
double precision t1,t2,tdexp,t3,t4,t5 double precision t1,t2,tdexp,t3,t4,t5
eta=19.0d0 eta=19.0d0
if(dabs(eta*a*a).lt.50.d0)then
fak=2.540118935556d0*dexp(-eta*a*a) fak=2.540118935556d0*dexp(-eta*a*a)
else
fak=0.d0
endif
dfakda=-2.0d0*eta*a*fak dfakda=-2.0d0*eta*a*fak
if(a .lt. 0.075d0) then if(a .lt. 0.075d0) then
@ -373,17 +392,29 @@ subroutine ecorrlr(rs,z,mu,eclr)
b0=adib*rs b0=adib*rs
d2anti=(q1a*rs+q2a*rs**2)*exp(-abs(q3a)*rs)/rs**2 double precision :: exp_q3a_rs
d3anti=(t1a*rs+t2a*rs**2)*exp(-abs(t3a)*rs)/rs**3 if(dabs(q3a*rs).lt.50.d0)then
exp_q3a_rs = dexp(-dabs(q3a)*rs)
else
exp_q3a_rs = 0.d0
endif
d2anti=(q1a*rs+q2a*rs**2)*exp_q3a_rs/rs**2
double precision :: exp_t3a_rs
if(dabs(t3a*rs).lt.50.d0)then
exp_t3a_rs = dexp(-dabs(t3a)*rs)
else
exp_t3a_rs = 0.d0
endif
d3anti=(t1a*rs+t2a*rs**2)*exp_t3a_rs/rs**3
coe2=-3.d0/8.d0/rs**3*(1.d0-z**2)*(g0f(rs)-0.5d0) coe2=-3.d0/8.d0/rs**3*(1.d0-z**2)*(g0f(rs)-0.5d0)
coe3=-(1.d0-z**2)*g0f(rs)/(sqrt(2.d0*pi)*rs**3) coe3=-(1.d0-z**2)*g0f(rs)/(dsqrt(2.d0*pi)*rs**3)
if(abs(z).eq.1.d0) then if(dabs(z).eq.1.d0) then
coe4=-9.d0/64.d0/rs**3*(dpol(rs) -cf**2*2d0**(5.d0/3.d0)/5.d0/rs**2) coe4=-9.d0/64.d0/rs**3*(dpol(rs) -cf**2*2d0**(5.d0/3.d0)/5.d0/rs**2)
coe5=-9.d0/40.d0/(sqrt(2.d0*pi)*rs**3)*dpol(rs) coe5=-9.d0/40.d0/(dsqrt(2.d0*pi)*rs**3)*dpol(rs)
else else
@ -393,7 +424,7 @@ subroutine ecorrlr(rs,z,mu,eclr)
(1.-z**2)*d2anti-cf**2/10.d0*((1.d0+z)**(8.d0/3.d0) & (1.-z**2)*d2anti-cf**2/10.d0*((1.d0+z)**(8.d0/3.d0) &
+(1.-z)**(8.d0/3.d0))/rs**2) +(1.-z)**(8.d0/3.d0))/rs**2)
coe5=-9.d0/40.d0/(sqrt(2.d0*pi)*rs**3)*(((1.d0+z)/2.d0)**2 & coe5=-9.d0/40.d0/(dsqrt(2.d0*pi)*rs**3)*(((1.d0+z)/2.d0)**2 &
*dpol(rs*(2.d0/(1.d0+z))**(1.d0/3.d0))+((1.d0-z)/2.d0)**2 & *dpol(rs*(2.d0/(1.d0+z))**(1.d0/3.d0))+((1.d0-z)/2.d0)**2 &
*dpol(rs*(2.d0/(1.d0-z))**(1.d0/3.d0))+(1.d0-z**2)* & *dpol(rs*(2.d0/(1.d0-z))**(1.d0/3.d0))+(1.d0-z**2)* &
d3anti) d3anti)
@ -409,13 +440,13 @@ subroutine ecorrlr(rs,z,mu,eclr)
a3=b0**8*coe3 a3=b0**8*coe3
a4=b0**6*(b0**2*coe2+4.d0*ec) a4=b0**6*(b0**2*coe2+4.d0*ec)
if(mu*sqrt(rs)/phi.lt.0.d0)then if(mu*dsqrt(rs)/phi.lt.0.d0)then
print*,'phi',phi print*,'phi',phi
print*,'mu ',mu print*,'mu ',mu
print*,'rs ',rs print*,'rs ',rs
stop -1 stop -1
endif endif
eclr=(phi**3*Qrpa(mu*sqrt(rs)/phi)+a1*mu**3+a2*mu**4+a3*mu**5+ & eclr=(phi**3*Qrpa(mu*dsqrt(rs)/phi)+a1*mu**3+a2*mu**4+a3*mu**5+ &
a4*mu**6+b0**8*mu**8*ec)/((1.d0+b0**2*mu**2)**4) a4*mu**6+b0**8*mu**8*ec)/((1.d0+b0**2*mu**2)**4)
return return
@ -467,18 +498,29 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
!SCF !SCF
b0=adib*rs b0=adib*rs
double precision :: exp_q3a_rs,exp_t3a_rs
if(dabs(q3a*rs).lt.50.d0)then
exp_q3a_rs = dexp(-q3a*rs)
else
exp_q3a_rs = 0.d0
endif
if(dabs(t3a*rs).lt.50.d0)then
exp_t3a_rs = dexp(-t3a*rs)
else
exp_t3a_rs = 0.d0
endif
d2anti=(q1a+q2a*rs)*exp(-q3a*rs)/rs d2anti=(q1a+q2a*rs)*exp_q3a_rs/rs
d3anti=(t1a+t2a*rs)*exp(-t3a*rs)/rs**2 d3anti=(t1a+t2a*rs)*exp_t3a_rs/rs**2
d2antid=-((q1a + q1a*q3a*rs + q2a*q3a*rs**2)/rs**2)*exp(-q3a*rs) d2antid=-((q1a + q1a*q3a*rs + q2a*q3a*rs**2)/rs**2)*exp_q3a_rs
d3antid=-((rs*t2a*(1d0 + rs*t3a) + t1a*(2d0 + rs*t3a))/rs**3)*exp(-rs*t3a) d3antid=-((rs*t2a*(1d0 + rs*t3a) + t1a*(2d0 + rs*t3a))/rs**3)*exp_t3a_rs
!SCD !SCD
d2antidd = exp(-q3a*rs)/rs**3*( & d2antidd = exp_q3a_rs/rs**3*( &
q3a**2*q1a*rs**2+q2a*q3a**2*rs**3 & q3a**2*q1a*rs**2+q2a*q3a**2*rs**3 &
+2.d0*q3a*q1a*rs+2.d0*q1a) +2.d0*q3a*q1a*rs+2.d0*q1a)
d3antidd = exp(-t3a*rs)/rs**4* & d3antidd = exp_t3a_rs/rs**4* &
(2.d0*t3a*t2a*rs**2 + 2.d0*t2a*rs & (2.d0*t3a*t2a*rs**2 + 2.d0*t2a*rs &
+ t1a*t3a**2*rs**2 + t2a*t3a**2*rs**3 & + t1a*t3a**2*rs**2 + t2a*t3a**2*rs**3 &
+ 4.d0*t1a*t3a*rs + 6.d0*t1a) + 4.d0*t1a*t3a*rs + 6.d0*t1a)
@ -526,7 +568,7 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
+dpoldd(rs)*rs**4) +dpoldd(rs)*rs**4)
coe4zd = 0.d0 coe4zd = 0.d0
coe5rsd = -9.d0/40.d0/sqrt(2.d0/pi)/rs**5* & coe5rsd = -9.d0/40.d0/dsqrt(2.d0/pi)/rs**5* &
(12.d0*dpol(rs)-6.d0*rs*dpold(rs) & (12.d0*dpol(rs)-6.d0*rs*dpold(rs) &
+rs**2*dpoldd(rs)) +rs**2*dpoldd(rs))
coe5zd = 0.d0 coe5zd = 0.d0
@ -670,7 +712,7 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
a5zd= 0.d0 a5zd= 0.d0
!SCF !SCF
x=mu*sqrt(rs)/phi x=mu*dsqrt(rs)/phi
eclr=(phi**3*Qrpa(x)+a1*mu**3+a2*mu**4+a3*mu**5+ & eclr=(phi**3*Qrpa(x)+a1*mu**3+a2*mu**4+a3*mu**5+ &
a4*mu**6+a5*mu**8)/((1.d0+b0**2*mu**2)**4) a4*mu**6+a5*mu**8)/((1.d0+b0**2*mu**2)**4)
@ -759,8 +801,14 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
D0f = 0.752411d0 D0f = 0.752411d0
E0f = -0.0127713d0 E0f = -0.0127713d0
F0f = 0.00185898d0 F0f = 0.00185898d0
double precision :: exp_d0fx
if(dabs(D0f*x).lt.50.d0)then
exp_d0fx = dexp(-dabs(D0f)*x)
else
exp_d0fx = 0.d0
endif
g0f=(1.d0-(0.7317d0-D0f)*x+C0f*x**2+E0f*x**3+ & g0f=(1.d0-(0.7317d0-D0f)*x+C0f*x**2+E0f*x**3+ &
F0f*x**4)*exp(-abs(D0f)*x)/2.d0 F0f*x**4)*exp_d0fx/2.d0
return return
end end
@ -774,7 +822,11 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
Dg0 = -0.0127713d0 Dg0 = -0.0127713d0
Eg0 = 0.00185898d0 Eg0 = 0.00185898d0
Bg0 =0.7317d0-Fg0 Bg0 =0.7317d0-Fg0
expsum=exp(-Fg0*rs) if(dabs(Fg0*rs).lt.50.d0)then
expsum=dexp(-Fg0*rs)
else
expsum = 0.d0
endif
g0d=(-Bg0+2d0*Cg0*rs+3d0*Dg0*rs**2+4d0*Eg0*rs**3)/2.d0 & g0d=(-Bg0+2d0*Cg0*rs+3d0*Dg0*rs**2+4d0*Eg0*rs**3)/2.d0 &
*expsum & *expsum &
- (Fg0*(1d0 - Bg0*rs + Cg0*rs**2 + Dg0*rs**3 + Eg0*rs**4))/ & - (Fg0*(1d0 - Bg0*rs + Cg0*rs**2 + Dg0*rs**3 + Eg0*rs**4))/ &
@ -791,7 +843,11 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
Dg0 = -0.0127713d0 Dg0 = -0.0127713d0
Eg0 = 0.00185898d0 Eg0 = 0.00185898d0
Bg0 = 0.7317d0-Fg0 Bg0 = 0.7317d0-Fg0
expsum=exp(-Fg0*rs) if(dabs(Fg0*rs).lt.50.d0)then
expsum=dexp(-Fg0*rs)
else
expsum=0.d0
endif
g0dd = (2.d0*Cg0+6.d0*Dg0*rs+12.d0*Eg0*rs**2)/2.d0* & g0dd = (2.d0*Cg0+6.d0*Dg0*rs+12.d0*Eg0*rs**2)/2.d0* &
expsum & expsum &
- (-Bg0+2.d0*Cg0*rs+3.d0*Dg0*rs**2+4.d0*Eg0*rs**3)*Fg0* & - (-Bg0+2.d0*Cg0*rs+3.d0*Dg0*rs**2+4.d0*Eg0*rs**3)*Fg0* &
@ -856,19 +912,12 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
implicit none implicit none
double precision pi,a2,b2,c2,d2,x,Acoul double precision pi,a2,b2,c2,d2,x,Acoul
pi=dacos(-1.d0) pi=dacos(-1.d0)
Acoul=2.d0*(log(2.d0)-1.d0)/pi**2 Acoul=2.d0*(dlog(2.d0)-1.d0)/pi**2
a2 = 5.84605d0 a2 = 5.84605d0
c2 = 3.91744d0 c2 = 3.91744d0
d2 = 3.44851d0 d2 = 3.44851d0
b2=d2-3.d0/(2.d0*pi*Acoul)*(4.d0/(9.d0*pi))**(1.d0/3.d0) b2=d2-3.d0/(2.d0*pi*Acoul)*(4.d0/(9.d0*pi))**(1.d0/3.d0)
!if(((1.d0+a2*x+b2*x**2+c2*x**3)/(1.d0+a2*x+d2*x**2)).le.0.d0)then Qrpa=Acoul*dlog((1.d0+a2*x+b2*x**2+c2*x**3)/(1.d0+a2*x+d2*x**2))
! print*,(1.d0+a2*x+b2*x**2+c2*x**3)/(1.d0+a2*x+d2*x**2)
! print*,(1.d0+a2*x+b2*x**2+c2*x**3),(1.d0+a2*x+d2*x**2)
! print*,x
! pause
!endif
!Qrpa=Acoul*log(dabs((1.d0+a2*x+b2*x**2+c2*x**3)/(1.d0+a2*x+d2*x**2)))
Qrpa=Acoul*log((1.d0+a2*x+b2*x**2+c2*x**3)/(1.d0+a2*x+d2*x**2))
return return
end end
@ -876,7 +925,7 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
implicit none implicit none
double precision pi,a2,b2,c2,d2,x,Acoul double precision pi,a2,b2,c2,d2,x,Acoul
pi=dacos(-1.d0) pi=dacos(-1.d0)
Acoul=2.d0*(log(2.d0)-1.d0)/pi**2 Acoul=2.d0*(dlog(2.d0)-1.d0)/pi**2
a2 = 5.84605d0 a2 = 5.84605d0
c2 = 3.91744d0 c2 = 3.91744d0
d2 = 3.44851d0 d2 = 3.44851d0
@ -894,7 +943,7 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
double precision pi,a2,b2,c2,d2,x,Acoul double precision pi,a2,b2,c2,d2,x,Acoul
double precision uQ,duQ,dduQ,vQ,dvQ,ddvQ double precision uQ,duQ,dduQ,vQ,dvQ,ddvQ
pi=dacos(-1.d0) pi=dacos(-1.d0)
Acoul=2.d0*(log(2.d0)-1.d0)/pi**2 Acoul=2.d0*(dlog(2.d0)-1.d0)/pi**2
a2 = 5.84605d0 a2 = 5.84605d0
c2 = 3.91744d0 c2 = 3.91744d0
d2 = 3.44851d0 d2 = 3.44851d0
@ -934,7 +983,7 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
ff=((1.d0+y)**(4.d0/3.d0)+(1.d0-y)**(4.d0/3.d0)- & ff=((1.d0+y)**(4.d0/3.d0)+(1.d0-y)**(4.d0/3.d0)- &
2.d0)/(2.d0**(4.d0/3.d0)-2.d0) 2.d0)/(2.d0**(4.d0/3.d0)-2.d0)
aaa=(1.d0-log(2.d0))/pi**2 aaa=(1.d0-dlog(2.d0))/pi**2
call GPW(x,aaa,0.21370d0,7.5957d0,3.5876d0, & call GPW(x,aaa,0.21370d0,7.5957d0,3.5876d0, &
1.6382d0,0.49294d0,G,Gd,Gdd) 1.6382d0,0.49294d0,G,Gd,Gdd)
ec0=G ec0=G
@ -969,8 +1018,6 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
return return
end end
! subroutine GPW(x,Ac,alfa1,beta1,beta2,beta3,beta4,G,Gd)
!SCD
subroutine GPW(x,Ac,alfa1,beta1,beta2,beta3,beta4,G,Gd,Gdd) subroutine GPW(x,Ac,alfa1,beta1,beta2,beta3,beta4,G,Gd,Gdd)
!SCF !SCF
!cc Gd is d/drs G !cc Gd is d/drs G
@ -982,7 +1029,7 @@ subroutine vcorrlr(rs,z,mu,vclrup,vclrdown,vclrupd,vclrdownd)
double precision A,dA,ddA,B double precision A,dA,ddA,B
!SCF !SCF
double precision sqrtx double precision sqrtx
sqrtx=sqrt(x) sqrtx=dsqrt(x)
G=-2.d0*Ac*(1.d0+alfa1*x)*dlog(1.d0+1.d0/(2.d0* & G=-2.d0*Ac*(1.d0+alfa1*x)*dlog(1.d0+1.d0/(2.d0* &
Ac*(beta1*x**0.5d0+ & Ac*(beta1*x**0.5d0+ &
beta2*x+beta3*x**1.5d0+beta4*x**2))) beta2*x+beta3*x**1.5d0+beta4*x**2)))

View File

@ -8,6 +8,7 @@ program print_energy
! psi_coef_sorted are the wave function stored in the |EZFIO| directory. ! psi_coef_sorted are the wave function stored in the |EZFIO| directory.
read_wf = .True. read_wf = .True.
touch read_wf touch read_wf
PROVIDE N_states
if (is_complex) then if (is_complex) then
call run_complex call run_complex
else else
@ -17,18 +18,20 @@ end
subroutine run subroutine run
implicit none implicit none
integer :: i integer :: i,j
double precision :: i_H_psi_array(N_states) double precision :: i_H_psi_array(N_states)
double precision :: E(N_states) double precision :: E(N_states)
double precision :: norm(N_states) double precision :: norm(N_states)
E(:) = nuclear_repulsion E(1:N_states) = nuclear_repulsion
norm(:) = 0.d0 norm(1:N_states) = 0.d0
do i=1,N_det do i=1,N_det
call i_H_psi(psi_det(1,1,i), psi_det, psi_coef, N_int, N_det, & call i_H_psi(psi_det(1,1,i), psi_det, psi_coef, N_int, N_det, &
size(psi_coef,1), N_states, i_H_psi_array) size(psi_coef,1), N_states, i_H_psi_array)
norm(:) += psi_coef(i,:)**2 do j=1,N_states
E(:) += i_H_psi_array(:) * psi_coef(i,:) norm(j) += psi_coef(i,j)*psi_coef(i,j)
E(j) += i_H_psi_array(j) * psi_coef(i,j)
enddo
enddo enddo
print *, 'Energy:' print *, 'Energy:'
@ -44,13 +47,15 @@ subroutine run_complex
double precision :: e(n_states) double precision :: e(n_states)
double precision :: norm(n_states) double precision :: norm(n_states)
e(:) = nuclear_repulsion e(1:n_states) = nuclear_repulsion
norm(:) = 0.d0 norm(1:n_states) = 0.d0
do i=1,n_det do i=1,n_det
call i_H_psi_complex(psi_det(1,1,i), psi_det, psi_coef_complex, N_int, N_det, & call i_H_psi_complex(psi_det(1,1,i), psi_det, psi_coef_complex, N_int, N_det, &
size(psi_coef_complex,1), N_states, i_H_psi_array) size(psi_coef_complex,1), N_states, i_H_psi_array)
norm(:) += cdabs(psi_coef_complex(i,:))**2 do j=1,n_states
E(:) += dble(i_h_psi_array(:) * dconjg(psi_coef_complex(i,:))) norm(j) += cdabs(psi_coef_complex(i,j))**2
E(j) += dble(i_h_psi_array(j) * dconjg(psi_coef_complex(i,j)))
enddo
enddo enddo
print *, 'Energy:' print *, 'Energy:'