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fdc5b7a467
@ -1,4 +1,6 @@
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! ---
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subroutine phi_j_erf_mu_r_xyz_phi(i,j,mu_in, C_center, xyz_ints)
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implicit none
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BEGIN_DOC
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@ -49,45 +51,58 @@ subroutine phi_j_erf_mu_r_xyz_phi(i,j,mu_in, C_center, xyz_ints)
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enddo
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end
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! ---
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double precision function phi_j_erf_mu_r_phi(i, j, mu_in, C_center)
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double precision function phi_j_erf_mu_r_phi(i,j,mu_in, C_center)
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implicit none
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BEGIN_DOC
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! phi_j_erf_mu_r_phi = int dr phi_j(r) [erf(mu |r - C|)/|r-C|] phi_i(r)
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! phi_j_erf_mu_r_phi = int dr phi_j(r) [erf(mu |r - C|)/|r-C|] phi_i(r)
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END_DOC
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implicit none
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integer, intent(in) :: i,j
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double precision, intent(in) :: mu_in, C_center(3)
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integer :: num_A,power_A(3), num_b, power_B(3)
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double precision :: alpha, beta, A_center(3), B_center(3),contrib,NAI_pol_mult_erf
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integer :: n_pt_in,l,m
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integer :: num_A, power_A(3), num_b, power_B(3)
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integer :: n_pt_in, l, m
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double precision :: alpha, beta, A_center(3), B_center(3), contrib
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double precision :: NAI_pol_mult_erf
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phi_j_erf_mu_r_phi = 0.d0
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if(ao_overlap_abs(j,i).lt.1.d-12)then
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if(ao_overlap_abs(j,i).lt.1.d-12) then
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return
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endif
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n_pt_in = n_pt_max_integrals
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! j
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num_A = ao_nucl(j)
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power_A(1:3)= ao_power(j,1:3)
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power_A(1:3) = ao_power(j,1:3)
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A_center(1:3) = nucl_coord(num_A,1:3)
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! i
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num_B = ao_nucl(i)
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power_B(1:3)= ao_power(i,1:3)
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power_B(1:3) = ao_power(i,1:3)
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B_center(1:3) = nucl_coord(num_B,1:3)
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do l=1,ao_prim_num(j)
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do l = 1, ao_prim_num(j)
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alpha = ao_expo_ordered_transp(l,j)
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do m=1,ao_prim_num(i)
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do m = 1, ao_prim_num(i)
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beta = ao_expo_ordered_transp(m,i)
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contrib = NAI_pol_mult_erf(A_center,B_center,power_A,power_B,alpha,beta,C_center,n_pt_in,mu_in)
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phi_j_erf_mu_r_phi += contrib * ao_coef_normalized_ordered_transp(l,j) &
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* ao_coef_normalized_ordered_transp(m,i)
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contrib = NAI_pol_mult_erf(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_in, mu_in)
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phi_j_erf_mu_r_phi += contrib * ao_coef_normalized_ordered_transp(l,j) * ao_coef_normalized_ordered_transp(m,i)
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enddo
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enddo
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end
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end function phi_j_erf_mu_r_phi
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! ---
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subroutine erfc_mu_gauss_xyz_ij_ao(i,j,mu, C_center, delta,gauss_ints)
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subroutine erfc_mu_gauss_xyz_ij_ao(i, j, mu, C_center, delta, gauss_ints)
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implicit none
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BEGIN_DOC
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! gauss_ints(m) = \int dr exp(-delta (r - C)^2 ) x/y/z * ( 1 - erf(mu |r-C|))/ |r-C| * AO_i(r) * AO_j(r)
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@ -132,95 +147,211 @@ subroutine erfc_mu_gauss_xyz_ij_ao(i,j,mu, C_center, delta,gauss_ints)
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enddo
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end
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subroutine erf_mu_gauss_ij_ao(i,j,mu, C_center, delta,gauss_ints)
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implicit none
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! ---
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subroutine erf_mu_gauss_ij_ao(i, j, mu, C_center, delta, gauss_ints)
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BEGIN_DOC
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! gauss_ints(m) = \int dr exp(-delta (r - C)^2 ) * erf(mu |r-r'|)/ |r-r'| * AO_i(r') * AO_j(r')
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!
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! gauss_ints = \int dr exp(-delta (r - C)^2) * erf(mu |r-C|) / |r-C| * AO_i(r) * AO_j(r)
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!
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END_DOC
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integer, intent(in) :: i,j
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double precision, intent(in) :: mu, C_center(3),delta
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double precision, intent(out):: gauss_ints
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integer :: num_A,power_A(3), num_b, power_B(3)
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double precision :: alpha, beta, A_center(3), B_center(3),contrib,NAI_pol_mult_erf
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double precision :: integral , erf_mu_gauss
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integer :: n_pt_in,l,m,mm
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implicit none
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integer, intent(in) :: i, j
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double precision, intent(in) :: mu, C_center(3), delta
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double precision, intent(out) :: gauss_ints
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integer :: n_pt_in, l, m
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integer :: num_A, power_A(3), num_b, power_B(3)
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double precision :: alpha, beta, A_center(3), B_center(3), coef
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double precision :: integral
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double precision :: erf_mu_gauss
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gauss_ints = 0.d0
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if(ao_overlap_abs(j,i).lt.1.d-12)then
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if(ao_overlap_abs(j,i).lt.1.d-12) then
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return
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endif
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n_pt_in = n_pt_max_integrals
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! j
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num_A = ao_nucl(j)
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power_A(1:3)= ao_power(j,1:3)
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power_A(1:3) = ao_power(j,1:3)
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A_center(1:3) = nucl_coord(num_A,1:3)
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! i
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num_B = ao_nucl(i)
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power_B(1:3)= ao_power(i,1:3)
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power_B(1:3) = ao_power(i,1:3)
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B_center(1:3) = nucl_coord(num_B,1:3)
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do l=1,ao_prim_num(j)
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do l = 1, ao_prim_num(j)
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alpha = ao_expo_ordered_transp(l,j)
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do m=1,ao_prim_num(i)
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do m = 1, ao_prim_num(i)
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beta = ao_expo_ordered_transp(m,i)
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if(dabs(ao_coef_normalized_ordered_transp(l,j) * ao_coef_normalized_ordered_transp(m,i)).lt.1.d-12)cycle
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integral = erf_mu_gauss(C_center,delta,mu,A_center,B_center,power_A,power_B,alpha,beta,n_pt_in)
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gauss_ints += integral * ao_coef_normalized_ordered_transp(l,j) &
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* ao_coef_normalized_ordered_transp(m,i)
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coef = ao_coef_normalized_ordered_transp(l,j) * ao_coef_normalized_ordered_transp(m,i)
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if(dabs(coef) .lt. 1.d-12) cycle
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integral = erf_mu_gauss(C_center, delta, mu, A_center, B_center, power_A, power_B, alpha, beta, n_pt_in)
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gauss_ints += integral * coef
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enddo
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enddo
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end
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end subroutine erf_mu_gauss_ij_ao
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! ---
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subroutine NAI_pol_x_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
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subroutine NAI_pol_x_mult_erf_ao(i_ao,j_ao,mu_in,C_center,ints)
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implicit none
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BEGIN_DOC
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!
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! Computes the following integral :
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!
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! $\int_{-\infty}^{infty} dr x * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
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!
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! $\int_{-\infty}^{infty} dr y * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
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!
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! $\int_{-\infty}^{infty} dr z * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
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!
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END_DOC
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include 'utils/constants.include.F'
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integer, intent(in) :: i_ao,j_ao
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implicit none
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integer, intent(in) :: i_ao, j_ao
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double precision, intent(in) :: mu_in, C_center(3)
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double precision, intent(out):: ints(3)
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double precision :: A_center(3), B_center(3),integral, alpha,beta
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double precision, intent(out) :: ints(3)
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integer :: i, j, num_A, num_B, power_A(3), power_B(3), n_pt_in, power_xA(3), m
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double precision :: A_center(3), B_center(3), integral, alpha, beta, coef
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double precision :: NAI_pol_mult_erf
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integer :: i,j,num_A,num_B, power_A(3), power_B(3), n_pt_in, power_xA(3),m
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ints = 0.d0
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if(ao_overlap_abs(j_ao,i_ao).lt.1.d-12)then
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if(ao_overlap_abs(j_ao,i_ao).lt.1.d-12) then
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return
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endif
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num_A = ao_nucl(i_ao)
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power_A(1:3)= ao_power(i_ao,1:3)
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power_A(1:3) = ao_power(i_ao,1:3)
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A_center(1:3) = nucl_coord(num_A,1:3)
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num_B = ao_nucl(j_ao)
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power_B(1:3)= ao_power(j_ao,1:3)
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power_B(1:3) = ao_power(j_ao,1:3)
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B_center(1:3) = nucl_coord(num_B,1:3)
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n_pt_in = n_pt_max_integrals
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n_pt_in = n_pt_max_integrals
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do i = 1, ao_prim_num(i_ao)
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alpha = ao_expo_ordered_transp(i,i_ao)
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do m = 1, 3
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power_xA = power_A
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! x * phi_i(r) = x * (x-Ax)**ax = (x-Ax)**(ax+1) + Ax * (x-Ax)**ax
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power_xA(m) += 1
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do j = 1, ao_prim_num(j_ao)
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beta = ao_expo_ordered_transp(j,j_ao)
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coef = ao_coef_normalized_ordered_transp(j,j_ao) * ao_coef_normalized_ordered_transp(i,i_ao)
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! First term = (x-Ax)**(ax+1)
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integral = NAI_pol_mult_erf(A_center,B_center,power_xA,power_B,alpha,beta,C_center,n_pt_in,mu_in)
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ints(m) += integral * ao_coef_normalized_ordered_transp(j,j_ao)*ao_coef_normalized_ordered_transp(i,i_ao)
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integral = NAI_pol_mult_erf(A_center, B_center, power_xA, power_B, alpha, beta, C_center, n_pt_in, mu_in)
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ints(m) += integral * coef
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! Second term = Ax * (x-Ax)**(ax)
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integral = NAI_pol_mult_erf(A_center,B_center,power_A,power_B,alpha,beta,C_center,n_pt_in,mu_in)
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ints(m) += A_center(m) * integral * ao_coef_normalized_ordered_transp(j,j_ao)*ao_coef_normalized_ordered_transp(i,i_ao)
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integral = NAI_pol_mult_erf(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_in, mu_in)
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ints(m) += A_center(m) * integral * coef
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enddo
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enddo
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enddo
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end
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end subroutine NAI_pol_x_mult_erf_ao
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! ---
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subroutine NAI_pol_x_mult_erf_ao_with1s(i_ao, j_ao, beta, B_center, mu_in, C_center, ints)
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BEGIN_DOC
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!
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! Computes the following integral :
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!
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! $\int_{-\infty}^{infty} dr x * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
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!
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! $\int_{-\infty}^{infty} dr y * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
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!
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! $\int_{-\infty}^{infty} dr z * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
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!
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END_DOC
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include 'utils/constants.include.F'
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implicit none
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integer, intent(in) :: i_ao, j_ao
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double precision, intent(in) :: beta, B_center(3), mu_in, C_center(3)
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double precision, intent(out) :: ints(3)
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integer :: i, j, power_Ai(3), power_Aj(3), n_pt_in, power_xA(3), m
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double precision :: Ai_center(3), Aj_center(3), integral, alphai, alphaj, coef, coefi
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double precision, external :: NAI_pol_mult_erf_with1s
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ASSERT(beta .ge. 0.d0)
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if(beta .lt. 1d-10) then
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call NAI_pol_x_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
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return
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endif
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ints = 0.d0
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if(ao_overlap_abs(j_ao,i_ao) .lt. 1.d-12) then
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return
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endif
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power_Ai(1:3) = ao_power(i_ao,1:3)
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power_Aj(1:3) = ao_power(j_ao,1:3)
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Ai_center(1:3) = nucl_coord(ao_nucl(i_ao),1:3)
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Aj_center(1:3) = nucl_coord(ao_nucl(j_ao),1:3)
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n_pt_in = n_pt_max_integrals
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do i = 1, ao_prim_num(i_ao)
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alphai = ao_expo_ordered_transp (i,i_ao)
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coefi = ao_coef_normalized_ordered_transp(i,i_ao)
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do m = 1, 3
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! x * phi_i(r) = x * (x-Ax)**ax = (x-Ax)**(ax+1) + Ax * (x-Ax)**ax
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power_xA = power_Ai
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power_xA(m) += 1
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do j = 1, ao_prim_num(j_ao)
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alphaj = ao_expo_ordered_transp (j,j_ao)
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coef = coefi * ao_coef_normalized_ordered_transp(j,j_ao)
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! First term = (x-Ax)**(ax+1)
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integral = NAI_pol_mult_erf_with1s( Ai_center, Aj_center, power_xA, power_Aj, alphai, alphaj &
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, beta, B_center, C_center, n_pt_in, mu_in )
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ints(m) += integral * coef
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! Second term = Ax * (x-Ax)**(ax)
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integral = NAI_pol_mult_erf_with1s( Ai_center, Aj_center, power_Ai, power_Aj, alphai, alphaj &
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, beta, B_center, C_center, n_pt_in, mu_in )
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ints(m) += Ai_center(m) * integral * coef
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enddo
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enddo
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enddo
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end subroutine NAI_pol_x_mult_erf_ao_with1s
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! ---
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subroutine NAI_pol_x_specify_mult_erf_ao(i_ao,j_ao,mu_in,C_center,m,ints)
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implicit none
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@ -249,7 +380,6 @@ subroutine NAI_pol_x_specify_mult_erf_ao(i_ao,j_ao,mu_in,C_center,m,ints)
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B_center(1:3) = nucl_coord(num_B,1:3)
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n_pt_in = n_pt_max_integrals
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do i = 1, ao_prim_num(i_ao)
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alpha = ao_expo_ordered_transp(i,i_ao)
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power_xA = power_A
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@ -267,3 +397,5 @@ subroutine NAI_pol_x_specify_mult_erf_ao(i_ao,j_ao,mu_in,C_center,m,ints)
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enddo
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end
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||||
! ---
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|
@ -102,36 +102,124 @@ subroutine overlap_gauss_r12_all_ao(D_center,delta,aos_ints)
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enddo
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end
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||||
|
||||
double precision function overlap_gauss_r12_ao(D_center,delta,i,j)
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implicit none
|
||||
! ---
|
||||
|
||||
! TODO :: PUT CYCLES IN LOOPS
|
||||
double precision function overlap_gauss_r12_ao(D_center, delta, i, j)
|
||||
|
||||
BEGIN_DOC
|
||||
! \int dr AO_i(r) AO_j(r) e^{-delta |r-D_center|^2}
|
||||
! \int dr AO_i(r) AO_j(r) e^{-delta |r-D_center|^2}
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||||
END_DOC
|
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integer, intent(in) :: i,j
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: i, j
|
||||
double precision, intent(in) :: D_center(3), delta
|
||||
|
||||
integer :: num_a,num_b,power_A(3), power_B(3),l,k
|
||||
double precision :: A_center(3), B_center(3),overlap_gauss_r12,alpha,beta,analytical_j
|
||||
integer :: power_A(3), power_B(3), l, k
|
||||
double precision :: A_center(3), B_center(3), alpha, beta, coef, coef1, analytical_j
|
||||
|
||||
double precision, external :: overlap_gauss_r12
|
||||
|
||||
overlap_gauss_r12_ao = 0.d0
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||||
if(ao_overlap_abs(j,i).lt.1.d-12)then
|
||||
|
||||
if(ao_overlap_abs(j,i).lt.1.d-12) then
|
||||
return
|
||||
endif
|
||||
! TODO :: PUT CYCLES IN LOOPS
|
||||
num_A = ao_nucl(i)
|
||||
power_A(1:3)= ao_power(i,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
num_B = ao_nucl(j)
|
||||
power_B(1:3)= ao_power(j,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
do l=1,ao_prim_num(i)
|
||||
alpha = ao_expo_ordered_transp(l,i)
|
||||
do k=1,ao_prim_num(j)
|
||||
|
||||
power_A(1:3) = ao_power(i,1:3)
|
||||
power_B(1:3) = ao_power(j,1:3)
|
||||
|
||||
A_center(1:3) = nucl_coord(ao_nucl(i),1:3)
|
||||
B_center(1:3) = nucl_coord(ao_nucl(j),1:3)
|
||||
|
||||
do l = 1, ao_prim_num(i)
|
||||
alpha = ao_expo_ordered_transp (l,i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(l,i)
|
||||
|
||||
do k = 1, ao_prim_num(j)
|
||||
beta = ao_expo_ordered_transp(k,j)
|
||||
analytical_j = overlap_gauss_r12(D_center,delta,A_center,B_center,power_A,power_B,alpha,beta)
|
||||
overlap_gauss_r12_ao += analytical_j * ao_coef_normalized_ordered_transp(l,i) &
|
||||
* ao_coef_normalized_ordered_transp(k,j)
|
||||
coef = coef1 * ao_coef_normalized_ordered_transp(k,j)
|
||||
|
||||
if(dabs(coef) .lt. 1d-12) cycle
|
||||
|
||||
analytical_j = overlap_gauss_r12(D_center, delta, A_center, B_center, power_A, power_B, alpha, beta)
|
||||
|
||||
overlap_gauss_r12_ao += coef * analytical_j
|
||||
enddo
|
||||
enddo
|
||||
end
|
||||
|
||||
end function overlap_gauss_r12_ao
|
||||
|
||||
! ---
|
||||
|
||||
double precision function overlap_gauss_r12_ao_with1s(B_center, beta, D_center, delta, i, j)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr AO_i(r) AO_j(r) e^{-beta |r-B_center^2|} e^{-delta |r-D_center|^2}
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: i, j
|
||||
double precision, intent(in) :: B_center(3), beta, D_center(3), delta
|
||||
|
||||
integer :: power_A1(3), power_A2(3), l, k
|
||||
double precision :: A1_center(3), A2_center(3), alpha1, alpha2, coef1, coef12, analytical_j
|
||||
double precision :: G_center(3), gama, fact_g, gama_inv
|
||||
|
||||
double precision, external :: overlap_gauss_r12, overlap_gauss_r12_ao
|
||||
|
||||
ASSERT(beta .gt. 0.d0)
|
||||
if(beta .lt. 1d-10) then
|
||||
overlap_gauss_r12_ao_with1s = overlap_gauss_r12_ao(D_center, delta, i, j)
|
||||
return
|
||||
endif
|
||||
|
||||
overlap_gauss_r12_ao_with1s = 0.d0
|
||||
|
||||
if(ao_overlap_abs(j,i) .lt. 1.d-12) then
|
||||
return
|
||||
endif
|
||||
|
||||
! e^{-beta |r-B_center^2|} e^{-delta |r-D_center|^2} = fact_g e^{-gama |r - G|^2}
|
||||
|
||||
gama = beta + delta
|
||||
gama_inv = 1.d0 / gama
|
||||
G_center(1) = (beta * B_center(1) + delta * D_center(1)) * gama_inv
|
||||
G_center(2) = (beta * B_center(2) + delta * D_center(2)) * gama_inv
|
||||
G_center(3) = (beta * B_center(3) + delta * D_center(3)) * gama_inv
|
||||
fact_g = beta * delta * gama_inv * ( (B_center(1) - D_center(1)) * (B_center(1) - D_center(1)) &
|
||||
+ (B_center(2) - D_center(2)) * (B_center(2) - D_center(2)) &
|
||||
+ (B_center(3) - D_center(3)) * (B_center(3) - D_center(3)) )
|
||||
if(fact_g .gt. 80d0) return
|
||||
fact_g = dexp(-fact_g)
|
||||
|
||||
! ---
|
||||
|
||||
power_A1(1:3) = ao_power(i,1:3)
|
||||
power_A2(1:3) = ao_power(j,1:3)
|
||||
|
||||
A1_center(1:3) = nucl_coord(ao_nucl(i),1:3)
|
||||
A2_center(1:3) = nucl_coord(ao_nucl(j),1:3)
|
||||
|
||||
do l = 1, ao_prim_num(i)
|
||||
alpha1 = ao_expo_ordered_transp (l,i)
|
||||
coef1 = fact_g * ao_coef_normalized_ordered_transp(l,i)
|
||||
!if(dabs(coef1) .lt. 1d-12) cycle
|
||||
|
||||
do k = 1, ao_prim_num(j)
|
||||
alpha2 = ao_expo_ordered_transp (k,j)
|
||||
coef12 = coef1 * ao_coef_normalized_ordered_transp(k,j)
|
||||
if(dabs(coef12) .lt. 1d-12) cycle
|
||||
|
||||
analytical_j = overlap_gauss_r12(G_center, gama, A1_center, A2_center, power_A1, power_A2, alpha1, alpha2)
|
||||
|
||||
overlap_gauss_r12_ao_with1s += coef12 * analytical_j
|
||||
enddo
|
||||
enddo
|
||||
|
||||
end function overlap_gauss_r12_ao_with1s
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,29 +1,44 @@
|
||||
BEGIN_PROVIDER [ double precision, v_ij_erf_rk_cst_mu, ( ao_num, ao_num,n_points_final_grid)]
|
||||
implicit none
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_ij_erf_rk_cst_mu, (ao_num, ao_num, n_points_final_grid)]
|
||||
|
||||
BEGIN_DOC
|
||||
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R| - 1)/|r - R|
|
||||
!
|
||||
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R| - 1) / |r - R|
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,ipoint
|
||||
double precision :: mu,r(3),NAI_pol_mult_erf_ao
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: r(3)
|
||||
double precision :: int_mu, int_coulomb
|
||||
provide mu_erf final_grid_points
|
||||
double precision :: wall0, wall1
|
||||
|
||||
double precision :: NAI_pol_mult_erf_ao
|
||||
|
||||
provide mu_erf final_grid_points
|
||||
call wall_time(wall0)
|
||||
|
||||
v_ij_erf_rk_cst_mu = 0.d0
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,ipoint,mu,r,int_mu,int_coulomb) &
|
||||
!$OMP SHARED (ao_num,n_points_final_grid,v_ij_erf_rk_cst_mu,final_grid_points,mu_erf)
|
||||
!$OMP PRIVATE (i, j, ipoint, r, int_mu, int_coulomb) &
|
||||
!$OMP SHARED (ao_num, n_points_final_grid, v_ij_erf_rk_cst_mu, final_grid_points, mu_erf)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do i = 1, ao_num
|
||||
do j = i, ao_num
|
||||
mu = mu_erf
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
int_mu = NAI_pol_mult_erf_ao(i,j,mu,r)
|
||||
int_coulomb = NAI_pol_mult_erf_ao(i,j,1.d+9,r)
|
||||
v_ij_erf_rk_cst_mu(j,i,ipoint)= (int_mu - int_coulomb )
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = i, ao_num
|
||||
|
||||
int_mu = NAI_pol_mult_erf_ao(i, j, mu_erf, r)
|
||||
int_coulomb = NAI_pol_mult_erf_ao(i, j, 1.d+9, r)
|
||||
|
||||
v_ij_erf_rk_cst_mu(j,i,ipoint) = int_mu - int_coulomb
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -31,88 +46,105 @@ BEGIN_PROVIDER [ double precision, v_ij_erf_rk_cst_mu, ( ao_num, ao_num,n_points
|
||||
!$OMP END PARALLEL
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do i = 1, ao_num
|
||||
do i = 2, ao_num
|
||||
do j = 1, i-1
|
||||
v_ij_erf_rk_cst_mu(j,i,ipoint)= v_ij_erf_rk_cst_mu(i,j,ipoint)
|
||||
v_ij_erf_rk_cst_mu(j,i,ipoint) = v_ij_erf_rk_cst_mu(i,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for v_ij_erf_rk_cst_mu ',wall1 - wall0
|
||||
print*, ' wall time for v_ij_erf_rk_cst_mu ', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_ij_erf_rk_cst_mu_transp, (n_points_final_grid, ao_num, ao_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R| - 1)/|r - R|
|
||||
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R| - 1)/|r - R|
|
||||
END_DOC
|
||||
integer :: i,j,ipoint
|
||||
double precision :: mu,r(3),NAI_pol_mult_erf_ao
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: r(3)
|
||||
double precision :: int_mu, int_coulomb
|
||||
provide mu_erf final_grid_points
|
||||
double precision :: wall0, wall1
|
||||
double precision :: NAI_pol_mult_erf_ao
|
||||
|
||||
provide mu_erf final_grid_points
|
||||
call wall_time(wall0)
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,ipoint,mu,r,int_mu,int_coulomb) &
|
||||
!$OMP PRIVATE (i,j,ipoint,r,int_mu,int_coulomb) &
|
||||
!$OMP SHARED (ao_num,n_points_final_grid,v_ij_erf_rk_cst_mu_transp,final_grid_points,mu_erf)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do i = 1, ao_num
|
||||
do j = i, ao_num
|
||||
do ipoint = 1, n_points_final_grid
|
||||
mu = mu_erf
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
int_mu = NAI_pol_mult_erf_ao(i,j,mu,r)
|
||||
int_coulomb = NAI_pol_mult_erf_ao(i,j,1.d+9,r)
|
||||
v_ij_erf_rk_cst_mu_transp(ipoint,j,i)= (int_mu - int_coulomb )
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = i, ao_num
|
||||
int_mu = NAI_pol_mult_erf_ao(i, j, mu_erf, r)
|
||||
int_coulomb = NAI_pol_mult_erf_ao(i, j, 1.d+9, r)
|
||||
|
||||
v_ij_erf_rk_cst_mu_transp(ipoint,j,i) = int_mu - int_coulomb
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
do i = 1, ao_num
|
||||
do i = 2, ao_num
|
||||
do j = 1, i-1
|
||||
do ipoint = 1, n_points_final_grid
|
||||
v_ij_erf_rk_cst_mu_transp(ipoint,j,i)= v_ij_erf_rk_cst_mu_transp(ipoint,i,j)
|
||||
v_ij_erf_rk_cst_mu_transp(ipoint,j,i) = v_ij_erf_rk_cst_mu_transp(ipoint,i,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for v_ij_erf_rk_cst_mu_transp ',wall1 - wall0
|
||||
print *, ' wall time for v_ij_erf_rk_cst_mu_transp ', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_tmp, (3, ao_num, ao_num, n_points_final_grid)]
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_tmp, (3,ao_num, ao_num,n_points_final_grid)]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints(3),ints_coulomb(3)
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: r(3), ints(3), ints_coulomb(3)
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,ipoint,mu,r,ints,m,ints_coulomb) &
|
||||
!$OMP PRIVATE (i,j,ipoint,r,ints,ints_coulomb) &
|
||||
!$OMP SHARED (ao_num,n_points_final_grid,x_v_ij_erf_rk_cst_mu_tmp,final_grid_points,mu_erf)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do ipoint = 1, n_points_final_grid
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = i, ao_num
|
||||
mu = mu_erf
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
call NAI_pol_x_mult_erf_ao(i,j,mu,r,ints)
|
||||
call NAI_pol_x_mult_erf_ao(i,j,1.d+9,r,ints_coulomb)
|
||||
do m = 1, 3
|
||||
x_v_ij_erf_rk_cst_mu_tmp(m,j,i,ipoint) = ( ints(m) - ints_coulomb(m))
|
||||
enddo
|
||||
|
||||
call NAI_pol_x_mult_erf_ao(i, j, mu_erf, r, ints )
|
||||
call NAI_pol_x_mult_erf_ao(i, j, 1.d+9 , r, ints_coulomb)
|
||||
|
||||
x_v_ij_erf_rk_cst_mu_tmp(1,j,i,ipoint) = ints(1) - ints_coulomb(1)
|
||||
x_v_ij_erf_rk_cst_mu_tmp(2,j,i,ipoint) = ints(2) - ints_coulomb(2)
|
||||
x_v_ij_erf_rk_cst_mu_tmp(3,j,i,ipoint) = ints(3) - ints_coulomb(3)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -120,122 +152,142 @@ BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_tmp, (3,ao_num, ao_num,n
|
||||
!$OMP END PARALLEL
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do i = 1, ao_num
|
||||
do i = 2, ao_num
|
||||
do j = 1, i-1
|
||||
do m = 1, 3
|
||||
x_v_ij_erf_rk_cst_mu_tmp(m,j,i,ipoint)= x_v_ij_erf_rk_cst_mu_tmp(m,i,j,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_tmp(1,j,i,ipoint) = x_v_ij_erf_rk_cst_mu_tmp(1,i,j,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_tmp(2,j,i,ipoint) = x_v_ij_erf_rk_cst_mu_tmp(2,i,j,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_tmp(3,j,i,ipoint) = x_v_ij_erf_rk_cst_mu_tmp(3,i,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for x_v_ij_erf_rk_cst_mu_tmp',wall1 - wall0
|
||||
|
||||
call wall_time(wall1)
|
||||
print*, ' wall time for x_v_ij_erf_rk_cst_mu_tmp', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu, (ao_num, ao_num,n_points_final_grid,3)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints,ints_coulomb
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
do m = 1, 3
|
||||
x_v_ij_erf_rk_cst_mu(j,i,ipoint,m)= x_v_ij_erf_rk_cst_mu_tmp(m,j,i,ipoint)
|
||||
enddo
|
||||
x_v_ij_erf_rk_cst_mu(j,i,ipoint,1) = x_v_ij_erf_rk_cst_mu_tmp(1,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu(j,i,ipoint,2) = x_v_ij_erf_rk_cst_mu_tmp(2,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu(j,i,ipoint,3) = x_v_ij_erf_rk_cst_mu_tmp(3,j,i,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for x_v_ij_erf_rk_cst_mu',wall1 - wall0
|
||||
print *, ' wall time for x_v_ij_erf_rk_cst_mu', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_transp, (ao_num, ao_num,3,n_points_final_grid)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints,ints_coulomb
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do m = 1, 3
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
x_v_ij_erf_rk_cst_mu_transp(j,i,m,ipoint)= x_v_ij_erf_rk_cst_mu_tmp(m,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_transp(j,i,1,ipoint) = x_v_ij_erf_rk_cst_mu_tmp(1,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_transp(j,i,2,ipoint) = x_v_ij_erf_rk_cst_mu_tmp(2,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_transp(j,i,3,ipoint) = x_v_ij_erf_rk_cst_mu_tmp(3,j,i,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for x_v_ij_erf_rk_cst_mu_transp',wall1 - wall0
|
||||
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for x_v_ij_erf_rk_cst_mu_transp', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_transp_bis, (n_points_final_grid,ao_num, ao_num,3)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
! int dr x * phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/|r - R|
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints,ints_coulomb
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
do m = 1, 3
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
do ipoint = 1, n_points_final_grid
|
||||
x_v_ij_erf_rk_cst_mu_transp_bis(ipoint,j,i,m)= x_v_ij_erf_rk_cst_mu_tmp(m,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_transp_bis(ipoint,j,i,1) = x_v_ij_erf_rk_cst_mu_tmp(1,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_transp_bis(ipoint,j,i,2) = x_v_ij_erf_rk_cst_mu_tmp(2,j,i,ipoint)
|
||||
x_v_ij_erf_rk_cst_mu_transp_bis(ipoint,j,i,3) = x_v_ij_erf_rk_cst_mu_tmp(3,j,i,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for x_v_ij_erf_rk_cst_mu_transp',wall1 - wall0
|
||||
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for x_v_ij_erf_rk_cst_mu_transp_bis', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, d_dx_v_ij_erf_rk_cst_mu_tmp, (3, n_points_final_grid, ao_num, ao_num)]
|
||||
|
||||
BEGIN_PROVIDER [ double precision, d_dx_v_ij_erf_rk_cst_mu_tmp, (3,n_points_final_grid,ao_num, ao_num)]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! d_dx_v_ij_erf_rk_cst_mu_tmp(m,R,j,i) = int dr phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
! d_dx_v_ij_erf_rk_cst_mu_tmp(m,R,j,i) = int dr phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints(3),ints_coulomb(3)
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: r(3), ints(3), ints_coulomb(3)
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,ipoint,mu,r,ints,m,ints_coulomb) &
|
||||
!$OMP PRIVATE (i,j,ipoint,r,ints,ints_coulomb) &
|
||||
!$OMP SHARED (ao_num,n_points_final_grid,d_dx_v_ij_erf_rk_cst_mu_tmp,final_grid_points,mu_erf)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
do ipoint = 1, n_points_final_grid
|
||||
mu = mu_erf
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
call phi_j_erf_mu_r_dxyz_phi(j,i,mu, r, ints)
|
||||
call phi_j_erf_mu_r_dxyz_phi(j,i,1.d+9, r, ints_coulomb)
|
||||
do m = 1, 3
|
||||
d_dx_v_ij_erf_rk_cst_mu_tmp(m,ipoint,j,i) = ( ints(m) - ints_coulomb(m))
|
||||
enddo
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
call phi_j_erf_mu_r_dxyz_phi(j, i, mu_erf, r, ints)
|
||||
call phi_j_erf_mu_r_dxyz_phi(j, i, 1.d+9, r, ints_coulomb)
|
||||
|
||||
d_dx_v_ij_erf_rk_cst_mu_tmp(1,ipoint,j,i) = ints(1) - ints_coulomb(1)
|
||||
d_dx_v_ij_erf_rk_cst_mu_tmp(2,ipoint,j,i) = ints(2) - ints_coulomb(2)
|
||||
d_dx_v_ij_erf_rk_cst_mu_tmp(3,ipoint,j,i) = ints(3) - ints_coulomb(3)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -243,65 +295,79 @@ BEGIN_PROVIDER [ double precision, d_dx_v_ij_erf_rk_cst_mu_tmp, (3,n_points_fina
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for d_dx_v_ij_erf_rk_cst_mu_tmp',wall1 - wall0
|
||||
|
||||
print *, ' wall time for d_dx_v_ij_erf_rk_cst_mu_tmp', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
BEGIN_PROVIDER [ double precision, d_dx_v_ij_erf_rk_cst_mu, (n_points_final_grid,ao_num, ao_num,3)]
|
||||
implicit none
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, d_dx_v_ij_erf_rk_cst_mu, (n_points_final_grid, ao_num, ao_num, 3)]
|
||||
|
||||
BEGIN_DOC
|
||||
! d_dx_v_ij_erf_rk_cst_mu_tmp(j,i,R,m) = int dr phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
!
|
||||
! d_dx_v_ij_erf_rk_cst_mu_tmp(j,i,R,m) = int dr phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints,ints_coulomb
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
do m = 1, 3
|
||||
do ipoint = 1, n_points_final_grid
|
||||
d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,m)= d_dx_v_ij_erf_rk_cst_mu_tmp(m,ipoint,j,i)
|
||||
enddo
|
||||
d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,1) = d_dx_v_ij_erf_rk_cst_mu_tmp(1,ipoint,j,i)
|
||||
d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,2) = d_dx_v_ij_erf_rk_cst_mu_tmp(2,ipoint,j,i)
|
||||
d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,3) = d_dx_v_ij_erf_rk_cst_mu_tmp(3,ipoint,j,i)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for d_dx_v_ij_erf_rk_cst_mu',wall1 - wall0
|
||||
print *, ' wall time for d_dx_v_ij_erf_rk_cst_mu', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_d_dx_v_ij_erf_rk_cst_mu_tmp, (3,n_points_final_grid,ao_num, ao_num)]
|
||||
implicit none
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_d_dx_v_ij_erf_rk_cst_mu_tmp, (3, n_points_final_grid, ao_num, ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
! x_d_dx_v_ij_erf_rk_cst_mu_tmp(m,j,i,R) = int dr x phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
!
|
||||
! x_d_dx_v_ij_erf_rk_cst_mu_tmp(m,j,i,R) = int dr x phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints(3),ints_coulomb(3)
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: r(3), ints(3), ints_coulomb(3)
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,ipoint,mu,r,ints,m,ints_coulomb) &
|
||||
!$OMP PRIVATE (i,j,ipoint,r,ints,ints_coulomb) &
|
||||
!$OMP SHARED (ao_num,n_points_final_grid,x_d_dx_v_ij_erf_rk_cst_mu_tmp,final_grid_points,mu_erf)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
do ipoint = 1, n_points_final_grid
|
||||
mu = mu_erf
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
call phi_j_erf_mu_r_xyz_dxyz_phi(j,i,mu, r, ints)
|
||||
call phi_j_erf_mu_r_xyz_dxyz_phi(j,i,1.d+9, r, ints_coulomb)
|
||||
do m = 1, 3
|
||||
x_d_dx_v_ij_erf_rk_cst_mu_tmp(m,ipoint,j,i) = ( ints(m) - ints_coulomb(m))
|
||||
enddo
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
call phi_j_erf_mu_r_xyz_dxyz_phi(j, i, mu_erf, r, ints)
|
||||
call phi_j_erf_mu_r_xyz_dxyz_phi(j, i, 1.d+9, r, ints_coulomb)
|
||||
|
||||
x_d_dx_v_ij_erf_rk_cst_mu_tmp(1,ipoint,j,i) = ints(1) - ints_coulomb(1)
|
||||
x_d_dx_v_ij_erf_rk_cst_mu_tmp(2,ipoint,j,i) = ints(2) - ints_coulomb(2)
|
||||
x_d_dx_v_ij_erf_rk_cst_mu_tmp(3,ipoint,j,i) = ints(3) - ints_coulomb(3)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -309,34 +375,43 @@ BEGIN_PROVIDER [ double precision, x_d_dx_v_ij_erf_rk_cst_mu_tmp, (3,n_points_fi
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for x_d_dx_v_ij_erf_rk_cst_mu_tmp',wall1 - wall0
|
||||
|
||||
print *, ' wall time for x_d_dx_v_ij_erf_rk_cst_mu_tmp', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_d_dx_v_ij_erf_rk_cst_mu, (n_points_final_grid,ao_num, ao_num,3)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! x_d_dx_v_ij_erf_rk_cst_mu_tmp(j,i,R,m) = int dr x phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
!
|
||||
! x_d_dx_v_ij_erf_rk_cst_mu_tmp(j,i,R,m) = int dr x phi_j(r)) (erf(mu(R) |r - R|) - 1)/|r - R| d/dx (phi_i(r)
|
||||
!
|
||||
! with m == 1 -> d/dx , m == 2 -> d/dy , m == 3 -> d/dz
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,ipoint,m
|
||||
double precision :: mu,r(3),ints,ints_coulomb
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do m = 1, 3
|
||||
x_d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,m)= x_d_dx_v_ij_erf_rk_cst_mu_tmp(m,ipoint,j,i)
|
||||
enddo
|
||||
x_d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,1) = x_d_dx_v_ij_erf_rk_cst_mu_tmp(1,ipoint,j,i)
|
||||
x_d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,2) = x_d_dx_v_ij_erf_rk_cst_mu_tmp(2,ipoint,j,i)
|
||||
x_d_dx_v_ij_erf_rk_cst_mu(ipoint,j,i,3) = x_d_dx_v_ij_erf_rk_cst_mu_tmp(3,ipoint,j,i)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for x_d_dx_v_ij_erf_rk_cst_mu',wall1 - wall0
|
||||
print *, ' wall time for x_d_dx_v_ij_erf_rk_cst_mu', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
||||
|
@ -1,3 +1,6 @@
|
||||
|
||||
! ---
|
||||
|
||||
subroutine give_all_erf_kl_ao(integrals_ao,mu_in,C_center)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
@ -15,65 +18,136 @@ subroutine give_all_erf_kl_ao(integrals_ao,mu_in,C_center)
|
||||
enddo
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
double precision function NAI_pol_mult_erf_ao(i_ao, j_ao, mu_in, C_center)
|
||||
|
||||
double precision function NAI_pol_mult_erf_ao(i_ao,j_ao,mu_in,C_center)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Computes the following integral :
|
||||
! $\int_{-\infty}^{infty} dr \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
|
||||
! $\int_{-\infty}^{infty} dr \chi_i(r) \chi_j(r) \frac{\erf(\mu |r - R_C|)}{|r - R_C|}$.
|
||||
!
|
||||
END_DOC
|
||||
integer, intent(in) :: i_ao,j_ao
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: i_ao, j_ao
|
||||
double precision, intent(in) :: mu_in, C_center(3)
|
||||
integer :: i,j,num_A,num_B, power_A(3), power_B(3), n_pt_in
|
||||
double precision :: A_center(3), B_center(3),integral, alpha,beta
|
||||
|
||||
integer :: i, j, num_A, num_B, power_A(3), power_B(3), n_pt_in
|
||||
double precision :: A_center(3), B_center(3), integral, alpha, beta
|
||||
|
||||
double precision :: NAI_pol_mult_erf
|
||||
|
||||
num_A = ao_nucl(i_ao)
|
||||
power_A(1:3)= ao_power(i_ao,1:3)
|
||||
power_A(1:3) = ao_power(i_ao,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
num_B = ao_nucl(j_ao)
|
||||
power_B(1:3)= ao_power(j_ao,1:3)
|
||||
power_B(1:3) = ao_power(j_ao,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
n_pt_in = n_pt_max_integrals
|
||||
|
||||
NAI_pol_mult_erf_ao = 0.d0
|
||||
do i = 1, ao_prim_num(i_ao)
|
||||
alpha = ao_expo_ordered_transp(i,i_ao)
|
||||
do j = 1, ao_prim_num(j_ao)
|
||||
beta = ao_expo_ordered_transp(j,j_ao)
|
||||
integral = NAI_pol_mult_erf(A_center,B_center,power_A,power_B,alpha,beta,C_center,n_pt_in,mu_in)
|
||||
NAI_pol_mult_erf_ao += integral * ao_coef_normalized_ordered_transp(j,j_ao)*ao_coef_normalized_ordered_transp(i,i_ao)
|
||||
|
||||
integral = NAI_pol_mult_erf(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_in,mu_in)
|
||||
|
||||
NAI_pol_mult_erf_ao += integral * ao_coef_normalized_ordered_transp(j,j_ao) * ao_coef_normalized_ordered_transp(i,i_ao)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
end
|
||||
end function NAI_pol_mult_erf_ao
|
||||
|
||||
! ---
|
||||
|
||||
double precision function NAI_pol_mult_erf_ao_with1s(i_ao, j_ao, beta, B_center, mu_in, C_center)
|
||||
|
||||
double precision function NAI_pol_mult_erf(A_center,B_center,power_A,power_B,alpha,beta,C_center,n_pt_in,mu_in)
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Computes the following integral :
|
||||
! $\int_{-\infty}^{infty} dr \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu |r - R_C|)}{|r - R_C|}$.
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: i_ao, j_ao
|
||||
double precision, intent(in) :: beta, B_center(3)
|
||||
double precision, intent(in) :: mu_in, C_center(3)
|
||||
|
||||
integer :: i, j, power_A1(3), power_A2(3), n_pt_in
|
||||
double precision :: A1_center(3), A2_center(3), alpha1, alpha2, coef12, coef1, integral
|
||||
|
||||
double precision, external :: NAI_pol_mult_erf_with1s, NAI_pol_mult_erf_ao
|
||||
|
||||
ASSERT(beta .ge. 0.d0)
|
||||
if(beta .lt. 1d-10) then
|
||||
NAI_pol_mult_erf_ao_with1s = NAI_pol_mult_erf_ao(i_ao, j_ao, mu_in, C_center)
|
||||
return
|
||||
endif
|
||||
|
||||
power_A1(1:3) = ao_power(i_ao,1:3)
|
||||
power_A2(1:3) = ao_power(j_ao,1:3)
|
||||
|
||||
A1_center(1:3) = nucl_coord(ao_nucl(i_ao),1:3)
|
||||
A2_center(1:3) = nucl_coord(ao_nucl(j_ao),1:3)
|
||||
|
||||
n_pt_in = n_pt_max_integrals
|
||||
|
||||
NAI_pol_mult_erf_ao_with1s = 0.d0
|
||||
do i = 1, ao_prim_num(i_ao)
|
||||
alpha1 = ao_expo_ordered_transp (i,i_ao)
|
||||
coef1 = ao_coef_normalized_ordered_transp(i,i_ao)
|
||||
|
||||
do j = 1, ao_prim_num(j_ao)
|
||||
alpha2 = ao_expo_ordered_transp(j,j_ao)
|
||||
coef12 = coef1 * ao_coef_normalized_ordered_transp(j,j_ao)
|
||||
if(dabs(coef12) .lt. 1d-14) cycle
|
||||
|
||||
integral = NAI_pol_mult_erf_with1s( A1_center, A2_center, power_A1, power_A2, alpha1, alpha2 &
|
||||
, beta, B_center, C_center, n_pt_in, mu_in )
|
||||
|
||||
NAI_pol_mult_erf_ao_with1s += integral * coef12
|
||||
enddo
|
||||
enddo
|
||||
|
||||
end function NAI_pol_mult_erf_ao_with1s
|
||||
|
||||
! ---
|
||||
|
||||
double precision function NAI_pol_mult_erf(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_in, mu_in)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Computes the following integral :
|
||||
!
|
||||
! .. math::
|
||||
!
|
||||
! \int dr (x-A_x)^a (x-B_x)^b \exp(-\alpha (x-A_x)^2 - \beta (x-B_x)^2 )
|
||||
! \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
|
||||
! \frac{\erf(\mu |r - R_C |)}{| r - R_C |}$.
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: n_pt_in
|
||||
double precision,intent(in) :: C_center(3),A_center(3),B_center(3),alpha,beta,mu_in
|
||||
integer, intent(in) :: power_A(3),power_B(3)
|
||||
integer :: i,j,k,l,n_pt
|
||||
double precision :: P_center(3)
|
||||
integer, intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: C_center(3), A_center(3), B_center(3), alpha, beta, mu_in
|
||||
|
||||
integer :: i, n_pt, n_pt_out
|
||||
double precision :: P_center(3)
|
||||
double precision :: d(0:n_pt_in), coeff, dist, const, factor
|
||||
double precision :: const_factor, dist_integral
|
||||
double precision :: accu, p_inv, p, rho, p_inv_2
|
||||
double precision :: p_new
|
||||
|
||||
double precision :: rint
|
||||
|
||||
double precision :: d(0:n_pt_in),pouet,coeff,dist,const,pouet_2,factor
|
||||
double precision :: I_n_special_exact,integrate_bourrin,I_n_bibi
|
||||
double precision :: V_e_n,const_factor,dist_integral,tmp
|
||||
double precision :: accu,rint,p_inv,p,rho,p_inv_2
|
||||
integer :: n_pt_out,lmax
|
||||
include 'utils/constants.include.F'
|
||||
p = alpha + beta
|
||||
p_inv = 1.d0/p
|
||||
p_inv = 1.d0 / p
|
||||
p_inv_2 = 0.5d0 * p_inv
|
||||
rho = alpha * beta * p_inv
|
||||
|
||||
@ -81,76 +155,194 @@ double precision function NAI_pol_mult_erf(A_center,B_center,power_A,power_B,alp
|
||||
dist_integral = 0.d0
|
||||
do i = 1, 3
|
||||
P_center(i) = (alpha * A_center(i) + beta * B_center(i)) * p_inv
|
||||
dist += (A_center(i) - B_center(i))*(A_center(i) - B_center(i))
|
||||
dist_integral += (P_center(i) - C_center(i))*(P_center(i) - C_center(i))
|
||||
dist += (A_center(i) - B_center(i)) * (A_center(i) - B_center(i))
|
||||
dist_integral += (P_center(i) - C_center(i)) * (P_center(i) - C_center(i))
|
||||
enddo
|
||||
const_factor = dist*rho
|
||||
if(const_factor > 80.d0)then
|
||||
const_factor = dist * rho
|
||||
if(const_factor > 80.d0) then
|
||||
NAI_pol_mult_erf = 0.d0
|
||||
return
|
||||
endif
|
||||
double precision :: p_new
|
||||
p_new = mu_in/dsqrt(p+ mu_in * mu_in)
|
||||
|
||||
p_new = mu_in / dsqrt(p + mu_in * mu_in)
|
||||
factor = dexp(-const_factor)
|
||||
coeff = dtwo_pi * factor * p_inv * p_new
|
||||
lmax = 20
|
||||
|
||||
! print*, "b"
|
||||
n_pt = 2 * ( (power_A(1) + power_B(1)) + (power_A(2) + power_B(2)) + (power_A(3) + power_B(3)) )
|
||||
const = p * dist_integral * p_new * p_new
|
||||
if(n_pt == 0) then
|
||||
NAI_pol_mult_erf = coeff * rint(0, const)
|
||||
return
|
||||
endif
|
||||
|
||||
do i = 0, n_pt_in
|
||||
d(i) = 0.d0
|
||||
enddo
|
||||
n_pt = 2 * ( (power_A(1) + power_B(1)) +(power_A(2) + power_B(2)) +(power_A(3) + power_B(3)) )
|
||||
const = p * dist_integral * p_new * p_new
|
||||
if (n_pt == 0) then
|
||||
pouet = rint(0,const)
|
||||
NAI_pol_mult_erf = coeff * pouet
|
||||
return
|
||||
endif
|
||||
|
||||
! call give_polynomial_mult_center_one_e_erf(A_center,B_center,alpha,beta,power_A,power_B,C_center,n_pt_in,d,n_pt_out,mu_in)
|
||||
p_new = p_new * p_new
|
||||
call give_polynomial_mult_center_one_e_erf_opt(A_center,B_center,alpha,beta,power_A,power_B,C_center,n_pt_in,d,n_pt_out,mu_in,p,p_inv,p_inv_2,p_new,P_center)
|
||||
call give_polynomial_mult_center_one_e_erf_opt( A_center, B_center, power_A, power_B, C_center &
|
||||
, n_pt_in, d, n_pt_out, p_inv_2, p_new, P_center)
|
||||
|
||||
|
||||
if(n_pt_out<0)then
|
||||
if(n_pt_out < 0) then
|
||||
NAI_pol_mult_erf = 0.d0
|
||||
return
|
||||
endif
|
||||
accu = 0.d0
|
||||
|
||||
! sum of integrals of type : int {t,[0,1]} exp-(rho.(P-Q)^2 * t^2) * t^i
|
||||
do i =0 ,n_pt_out,2
|
||||
accu += d(i) * rint(i/2,const)
|
||||
accu = 0.d0
|
||||
do i = 0, n_pt_out, 2
|
||||
accu += d(i) * rint(i/2, const)
|
||||
enddo
|
||||
NAI_pol_mult_erf = accu * coeff
|
||||
|
||||
end
|
||||
end function NAI_pol_mult_erf
|
||||
|
||||
! ---
|
||||
|
||||
double precision function NAI_pol_mult_erf_with1s( A1_center, A2_center, power_A1, power_A2, alpha1, alpha2 &
|
||||
, beta, B_center, C_center, n_pt_in, mu_in )
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Computes the following integral :
|
||||
!
|
||||
! .. math::
|
||||
!
|
||||
! \int dx (x - A1_x)^a_1 (x - B1_x)^a_2 \exp(-\alpha_1 (x - A1_x)^2 - \alpha_2 (x - A2_x)^2)
|
||||
! \int dy (y - A1_y)^b_1 (y - B1_y)^b_2 \exp(-\alpha_1 (y - A1_y)^2 - \alpha_2 (y - A2_y)^2)
|
||||
! \int dz (x - A1_z)^c_1 (z - B1_z)^c_2 \exp(-\alpha_1 (z - A1_z)^2 - \alpha_2 (z - A2_z)^2)
|
||||
! \exp(-\beta (r - B)^2)
|
||||
! \frac{\erf(\mu |r - R_C|)}{|r - R_C|}$.
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: n_pt_in
|
||||
integer, intent(in) :: power_A1(3), power_A2(3)
|
||||
double precision, intent(in) :: C_center(3), A1_center(3), A2_center(3), B_center(3)
|
||||
double precision, intent(in) :: alpha1, alpha2, beta, mu_in
|
||||
|
||||
integer :: i, n_pt, n_pt_out
|
||||
double precision :: alpha12, alpha12_inv, alpha12_inv_2, rho12, A12_center(3), dist12, const_factor12
|
||||
double precision :: p, p_inv, p_inv_2, rho, P_center(3), dist, const_factor
|
||||
double precision :: dist_integral
|
||||
double precision :: d(0:n_pt_in), coeff, const, factor
|
||||
double precision :: accu
|
||||
double precision :: p_new
|
||||
|
||||
double precision :: rint
|
||||
|
||||
|
||||
subroutine give_polynomial_mult_center_one_e_erf_opt(A_center,B_center,alpha,beta,&
|
||||
power_A,power_B,C_center,n_pt_in,d,n_pt_out,mu_in,p,p_inv,p_inv_2,p_new,P_center)
|
||||
! e^{-alpha1 (r - A1)^2} e^{-alpha2 (r - A2)^2} = e^{-K12} e^{-alpha12 (r - A12)^2}
|
||||
alpha12 = alpha1 + alpha2
|
||||
alpha12_inv = 1.d0 / alpha12
|
||||
alpha12_inv_2 = 0.5d0 * alpha12_inv
|
||||
rho12 = alpha1 * alpha2 * alpha12_inv
|
||||
A12_center(1) = (alpha1 * A1_center(1) + alpha2 * A2_center(1)) * alpha12_inv
|
||||
A12_center(2) = (alpha1 * A1_center(2) + alpha2 * A2_center(2)) * alpha12_inv
|
||||
A12_center(3) = (alpha1 * A1_center(3) + alpha2 * A2_center(3)) * alpha12_inv
|
||||
dist12 = (A1_center(1) - A2_center(1)) * (A1_center(1) - A2_center(1)) &
|
||||
+ (A1_center(2) - A2_center(2)) * (A1_center(2) - A2_center(2)) &
|
||||
+ (A1_center(3) - A2_center(3)) * (A1_center(3) - A2_center(3))
|
||||
|
||||
const_factor12 = dist12 * rho12
|
||||
if(const_factor12 > 80.d0) then
|
||||
NAI_pol_mult_erf_with1s = 0.d0
|
||||
return
|
||||
endif
|
||||
|
||||
! ---
|
||||
|
||||
! e^{-K12} e^{-alpha12 (r - A12)^2} e^{-beta (r - B)^2} = e^{-K} e^{-p (r - P)^2}
|
||||
p = alpha12 + beta
|
||||
p_inv = 1.d0 / p
|
||||
p_inv_2 = 0.5d0 * p_inv
|
||||
rho = alpha12 * beta * p_inv
|
||||
P_center(1) = (alpha12 * A12_center(1) + beta * B_center(1)) * p_inv
|
||||
P_center(2) = (alpha12 * A12_center(2) + beta * B_center(2)) * p_inv
|
||||
P_center(3) = (alpha12 * A12_center(3) + beta * B_center(3)) * p_inv
|
||||
dist = (A12_center(1) - B_center(1)) * (A12_center(1) - B_center(1)) &
|
||||
+ (A12_center(2) - B_center(2)) * (A12_center(2) - B_center(2)) &
|
||||
+ (A12_center(3) - B_center(3)) * (A12_center(3) - B_center(3))
|
||||
|
||||
const_factor = const_factor12 + dist * rho
|
||||
if(const_factor > 80.d0) then
|
||||
NAI_pol_mult_erf_with1s = 0.d0
|
||||
return
|
||||
endif
|
||||
|
||||
dist_integral = (P_center(1) - C_center(1)) * (P_center(1) - C_center(1)) &
|
||||
+ (P_center(2) - C_center(2)) * (P_center(2) - C_center(2)) &
|
||||
+ (P_center(3) - C_center(3)) * (P_center(3) - C_center(3))
|
||||
|
||||
! ---
|
||||
|
||||
p_new = mu_in / dsqrt(p + mu_in * mu_in)
|
||||
factor = dexp(-const_factor)
|
||||
coeff = dtwo_pi * factor * p_inv * p_new
|
||||
|
||||
n_pt = 2 * ( (power_A1(1) + power_A2(1)) + (power_A1(2) + power_A2(2)) + (power_A1(3) + power_A2(3)) )
|
||||
const = p * dist_integral * p_new * p_new
|
||||
if(n_pt == 0) then
|
||||
NAI_pol_mult_erf_with1s = coeff * rint(0, const)
|
||||
return
|
||||
endif
|
||||
|
||||
do i = 0, n_pt_in
|
||||
d(i) = 0.d0
|
||||
enddo
|
||||
p_new = p_new * p_new
|
||||
|
||||
call give_polynomial_mult_center_one_e_erf_opt( A1_center, A2_center, power_A1, power_A2, C_center &
|
||||
, n_pt_in, d, n_pt_out, p_inv_2, p_new, P_center)
|
||||
|
||||
if(n_pt_out < 0) then
|
||||
NAI_pol_mult_erf_with1s = 0.d0
|
||||
return
|
||||
endif
|
||||
|
||||
! sum of integrals of type : int {t,[0,1]} exp-(rho.(P-Q)^2 * t^2) * t^i
|
||||
accu = 0.d0
|
||||
do i = 0, n_pt_out, 2
|
||||
accu += d(i) * rint(i/2, const)
|
||||
enddo
|
||||
NAI_pol_mult_erf_with1s = accu * coeff
|
||||
|
||||
end function NAI_pol_mult_erf_with1s
|
||||
|
||||
! ---
|
||||
|
||||
subroutine give_polynomial_mult_center_one_e_erf_opt( A_center, B_center, power_A, power_B, C_center &
|
||||
, n_pt_in, d, n_pt_out, p_inv_2, p_new, P_center)
|
||||
|
||||
BEGIN_DOC
|
||||
! Returns the explicit polynomial in terms of the $t$ variable of the
|
||||
! following polynomial:
|
||||
!
|
||||
! $I_{x1}(a_x, d_x,p,q) \times I_{x1}(a_y, d_y,p,q) \times I_{x1}(a_z, d_z,p,q)$.
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: n_pt_in
|
||||
integer,intent(out) :: n_pt_out
|
||||
double precision, intent(in) :: A_center(3), B_center(3),C_center(3),p,p_inv,p_inv_2,p_new,P_center(3)
|
||||
double precision, intent(in) :: alpha,beta,mu_in
|
||||
integer, intent(in) :: power_A(3), power_B(3)
|
||||
integer :: a_x,b_x,a_y,b_y,a_z,b_z
|
||||
double precision :: d(0:n_pt_in)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center(3), p_inv_2, p_new, P_center(3)
|
||||
integer, intent(out) :: n_pt_out
|
||||
double precision, intent(out) :: d(0:n_pt_in)
|
||||
|
||||
integer :: a_x, b_x, a_y, b_y, a_z, b_z
|
||||
integer :: n_pt1, n_pt2, n_pt3, dim, i
|
||||
integer :: n_pt_tmp
|
||||
double precision :: d1(0:n_pt_in)
|
||||
double precision :: d2(0:n_pt_in)
|
||||
double precision :: d3(0:n_pt_in)
|
||||
double precision :: accu
|
||||
double precision :: R1x(0:2), B01(0:2), R1xp(0:2), R2x(0:2)
|
||||
|
||||
accu = 0.d0
|
||||
ASSERT (n_pt_in > 1)
|
||||
|
||||
double precision :: R1x(0:2), B01(0:2), R1xp(0:2),R2x(0:2)
|
||||
R1x(0) = (P_center(1) - A_center(1))
|
||||
R1x(1) = 0.d0
|
||||
R1x(2) = -(P_center(1) - C_center(1))* p_new
|
||||
@ -161,27 +353,22 @@ subroutine give_polynomial_mult_center_one_e_erf_opt(A_center,B_center,alpha,bet
|
||||
!R1xp = (P_x - B_x) - (P_x - C_x) ( t * mu/sqrt(p+mu^2) )^2
|
||||
R2x(0) = p_inv_2
|
||||
R2x(1) = 0.d0
|
||||
R2x(2) = -p_inv_2* p_new
|
||||
R2x(2) = -p_inv_2 * p_new
|
||||
!R2x = 0.5 / p - 0.5/p ( t * mu/sqrt(p+mu^2) )^2
|
||||
do i = 0,n_pt_in
|
||||
d(i) = 0.d0
|
||||
enddo
|
||||
do i = 0,n_pt_in
|
||||
|
||||
do i = 0, n_pt_in
|
||||
d (i) = 0.d0
|
||||
d1(i) = 0.d0
|
||||
enddo
|
||||
do i = 0,n_pt_in
|
||||
d2(i) = 0.d0
|
||||
enddo
|
||||
do i = 0,n_pt_in
|
||||
d3(i) = 0.d0
|
||||
enddo
|
||||
integer :: n_pt1,n_pt2,n_pt3,dim,i
|
||||
|
||||
n_pt1 = n_pt_in
|
||||
n_pt2 = n_pt_in
|
||||
n_pt3 = n_pt_in
|
||||
a_x = power_A(1)
|
||||
b_x = power_B(1)
|
||||
call I_x1_pol_mult_one_e(a_x,b_x,R1x,R1xp,R2x,d1,n_pt1,n_pt_in)
|
||||
call I_x1_pol_mult_one_e(a_x, b_x, R1x, R1xp, R2x, d1, n_pt1, n_pt_in)
|
||||
if(n_pt1<0)then
|
||||
n_pt_out = -1
|
||||
do i = 0,n_pt_in
|
||||
@ -200,7 +387,7 @@ subroutine give_polynomial_mult_center_one_e_erf_opt(A_center,B_center,alpha,bet
|
||||
!R1xp = (P_x - B_x) - (P_x - C_x) ( t * mu/sqrt(p+mu^2) )^2
|
||||
a_y = power_A(2)
|
||||
b_y = power_B(2)
|
||||
call I_x1_pol_mult_one_e(a_y,b_y,R1x,R1xp,R2x,d2,n_pt2,n_pt_in)
|
||||
call I_x1_pol_mult_one_e(a_y, b_y, R1x, R1xp, R2x, d2, n_pt2, n_pt_in)
|
||||
if(n_pt2<0)then
|
||||
n_pt_out = -1
|
||||
do i = 0,n_pt_in
|
||||
@ -209,41 +396,40 @@ subroutine give_polynomial_mult_center_one_e_erf_opt(A_center,B_center,alpha,bet
|
||||
return
|
||||
endif
|
||||
|
||||
|
||||
R1x(0) = (P_center(3) - A_center(3))
|
||||
R1x(1) = 0.d0
|
||||
R1x(2) = -(P_center(3) - C_center(3))* p_new
|
||||
R1x(2) = -(P_center(3) - C_center(3)) * p_new
|
||||
! R1x = (P_x - A_x) - (P_x - C_x) ( t * mu/sqrt(p+mu^2) )^2
|
||||
R1xp(0) = (P_center(3) - B_center(3))
|
||||
R1xp(1) = 0.d0
|
||||
R1xp(2) =-(P_center(3) - C_center(3))* p_new
|
||||
R1xp(2) =-(P_center(3) - C_center(3)) * p_new
|
||||
!R2x = 0.5 / p - 0.5/p ( t * mu/sqrt(p+mu^2) )^2
|
||||
a_z = power_A(3)
|
||||
b_z = power_B(3)
|
||||
|
||||
call I_x1_pol_mult_one_e(a_z,b_z,R1x,R1xp,R2x,d3,n_pt3,n_pt_in)
|
||||
if(n_pt3<0)then
|
||||
call I_x1_pol_mult_one_e(a_z, b_z, R1x, R1xp, R2x, d3, n_pt3, n_pt_in)
|
||||
if(n_pt3 < 0) then
|
||||
n_pt_out = -1
|
||||
do i = 0,n_pt_in
|
||||
d(i) = 0.d0
|
||||
enddo
|
||||
return
|
||||
endif
|
||||
integer :: n_pt_tmp
|
||||
|
||||
n_pt_tmp = 0
|
||||
call multiply_poly(d1,n_pt1,d2,n_pt2,d,n_pt_tmp)
|
||||
do i = 0,n_pt_tmp
|
||||
call multiply_poly(d1, n_pt1, d2, n_pt2, d, n_pt_tmp)
|
||||
do i = 0, n_pt_tmp
|
||||
d1(i) = 0.d0
|
||||
enddo
|
||||
n_pt_out = 0
|
||||
call multiply_poly(d ,n_pt_tmp ,d3,n_pt3,d1,n_pt_out)
|
||||
call multiply_poly(d, n_pt_tmp, d3, n_pt3, d1, n_pt_out)
|
||||
do i = 0, n_pt_out
|
||||
d(i) = d1(i)
|
||||
enddo
|
||||
|
||||
end
|
||||
|
||||
end subroutine give_polynomial_mult_center_one_e_erf_opt
|
||||
|
||||
! ---
|
||||
|
||||
|
||||
subroutine give_polynomial_mult_center_one_e_erf(A_center,B_center,alpha,beta,&
|
||||
|
@ -1,12 +0,0 @@
|
||||
|
||||
[j1b_gauss_pen]
|
||||
type: double precision
|
||||
doc: exponents of the 1-body Jastrow
|
||||
interface: ezfio
|
||||
size: (nuclei.nucl_num)
|
||||
|
||||
[j1b_gauss]
|
||||
type: integer
|
||||
doc: Use 1-body Gaussian Jastrow
|
||||
interface: ezfio, provider, ocaml
|
||||
default: 0
|
@ -2,3 +2,4 @@ ao_two_e_erf_ints
|
||||
mo_one_e_ints
|
||||
ao_many_one_e_ints
|
||||
dft_utils_in_r
|
||||
tc_keywords
|
||||
|
@ -1,9 +1,11 @@
|
||||
|
||||
|
||||
subroutine compute_ao_tc_sym_two_e_pot_jl(j, l, n_integrals, buffer_i, buffer_value)
|
||||
|
||||
use map_module
|
||||
|
||||
BEGIN_DOC
|
||||
! Parallel client for AO integrals of the TC integrals involving purely hermitian operators
|
||||
! Parallel client for AO integrals
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
@ -21,13 +23,10 @@ subroutine compute_ao_tc_sym_two_e_pot_jl(j, l, n_integrals, buffer_i, buffer_va
|
||||
|
||||
logical, external :: ao_two_e_integral_zero
|
||||
double precision :: ao_tc_sym_two_e_pot, ao_two_e_integral_erf
|
||||
double precision :: j1b_gauss_erf, j1b_gauss_coul
|
||||
double precision :: j1b_gauss_coul_debug
|
||||
double precision :: j1b_gauss_coul_modifdebug
|
||||
double precision :: j1b_gauss_coulerf
|
||||
double precision :: j1b_gauss_2e_j1, j1b_gauss_2e_j2
|
||||
|
||||
|
||||
PROVIDE j1b_gauss
|
||||
PROVIDE j1b_type
|
||||
|
||||
thr = ao_integrals_threshold
|
||||
|
||||
@ -45,7 +44,7 @@ subroutine compute_ao_tc_sym_two_e_pot_jl(j, l, n_integrals, buffer_i, buffer_va
|
||||
exit
|
||||
endif
|
||||
|
||||
if (ao_two_e_integral_erf_schwartz(i,k)*ao_two_e_integral_erf_schwartz(j,l) < thr ) then
|
||||
if (ao_two_e_integral_erf_schwartz(i,k)*ao_two_e_integral_erf_schwartz(j,l) < thr) then
|
||||
cycle
|
||||
endif
|
||||
|
||||
@ -54,12 +53,14 @@ subroutine compute_ao_tc_sym_two_e_pot_jl(j, l, n_integrals, buffer_i, buffer_va
|
||||
integral_erf = ao_two_e_integral_erf(i, k, j, l)
|
||||
integral = integral_erf + integral_pot
|
||||
|
||||
if( j1b_gauss .eq. 1 ) then
|
||||
integral = integral &
|
||||
+ j1b_gauss_coulerf(i, k, j, l)
|
||||
if( j1b_type .eq. 1 ) then
|
||||
!print *, ' j1b type 1 is added'
|
||||
integral = integral + j1b_gauss_2e_j1(i, k, j, l)
|
||||
elseif( j1b_type .eq. 2 ) then
|
||||
!print *, ' j1b type 2 is added'
|
||||
integral = integral + j1b_gauss_2e_j2(i, k, j, l)
|
||||
endif
|
||||
|
||||
|
||||
if(abs(integral) < thr) then
|
||||
cycle
|
||||
endif
|
||||
|
188
src/ao_tc_eff_map/fit_j.irp.f
Normal file
188
src/ao_tc_eff_map/fit_j.irp.f
Normal file
@ -0,0 +1,188 @@
|
||||
BEGIN_PROVIDER [ double precision, expo_j_xmu, (n_fit_1_erf_x) ]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2) is fitted with a gaussian and a Slater
|
||||
!
|
||||
! \approx - 1/sqrt(pi) * exp(-alpha * x ) exp(-beta * x**2)
|
||||
!
|
||||
! where alpha = expo_j_xmu(1) and beta = expo_j_xmu(2)
|
||||
END_DOC
|
||||
expo_j_xmu(1) = 1.7477d0
|
||||
expo_j_xmu(2) = 0.668662d0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, expo_gauss_j_mu_x, (n_max_fit_slat)]
|
||||
&BEGIN_PROVIDER [double precision, coef_gauss_j_mu_x, (n_max_fit_slat)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! J(mu,r12) = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2) is expressed as
|
||||
!
|
||||
! J(mu,r12) = 0.5/mu * F(r12*mu) where F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2)
|
||||
!
|
||||
! F(x) is fitted by - 1/sqrt(pi) * exp(-alpha * x) exp(-beta * x^2) (see expo_j_xmu)
|
||||
!
|
||||
! The slater function exp(-alpha * x) is fitted with n_max_fit_slat gaussians
|
||||
!
|
||||
! See Appendix 2 of JCP 154, 084119 (2021)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i
|
||||
double precision :: tmp
|
||||
double precision :: expos(n_max_fit_slat), alpha, beta
|
||||
|
||||
tmp = -0.5d0 / (mu_erf * sqrt(dacos(-1.d0)))
|
||||
|
||||
alpha = expo_j_xmu(1) * mu_erf
|
||||
call expo_fit_slater_gam(alpha, expos)
|
||||
beta = expo_j_xmu(2) * mu_erf * mu_erf
|
||||
|
||||
do i = 1, n_max_fit_slat
|
||||
expo_gauss_j_mu_x(i) = expos(i) + beta
|
||||
coef_gauss_j_mu_x(i) = tmp * coef_fit_slat_gauss(i)
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, expo_gauss_j_mu_x_2, (n_max_fit_slat)]
|
||||
&BEGIN_PROVIDER [double precision, coef_gauss_j_mu_x_2, (n_max_fit_slat)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! J(mu,r12)^2 = 0.25/mu^2 F(r12*mu)^2
|
||||
!
|
||||
! F(x)^2 = 1 /pi * exp(-2 * alpha * x) exp(-2 * beta * x^2)
|
||||
!
|
||||
! The slater function exp(-2 * alpha * x) is fitted with n_max_fit_slat gaussians
|
||||
!
|
||||
! See Appendix 2 of JCP 154, 084119 (2021)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i
|
||||
double precision :: tmp
|
||||
double precision :: expos(n_max_fit_slat), alpha, beta
|
||||
double precision :: alpha_opt, beta_opt
|
||||
|
||||
!alpha_opt = 2.d0 * expo_j_xmu(1)
|
||||
!beta_opt = 2.d0 * expo_j_xmu(2)
|
||||
|
||||
! direct opt
|
||||
alpha_opt = 3.52751759d0
|
||||
beta_opt = 1.26214809d0
|
||||
|
||||
tmp = 0.25d0 / (mu_erf * mu_erf * dacos(-1.d0))
|
||||
|
||||
alpha = alpha_opt * mu_erf
|
||||
call expo_fit_slater_gam(alpha, expos)
|
||||
beta = beta_opt * mu_erf * mu_erf
|
||||
|
||||
do i = 1, n_max_fit_slat
|
||||
expo_gauss_j_mu_x_2(i) = expos(i) + beta
|
||||
coef_gauss_j_mu_x_2(i) = tmp * coef_fit_slat_gauss(i)
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, expo_gauss_j_mu_1_erf, (n_max_fit_slat)]
|
||||
&BEGIN_PROVIDER [double precision, coef_gauss_j_mu_1_erf, (n_max_fit_slat)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! J(mu,r12) x \frac{1 - erf(mu * r12)}{2} =
|
||||
!
|
||||
! - \frac{1}{4 \sqrt{\pi} \mu} \exp(-(alpha1 + alpha2) * mu * r12 - (beta1 + beta2) * mu^2 * r12^2)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i
|
||||
double precision :: tmp
|
||||
double precision :: expos(n_max_fit_slat), alpha, beta
|
||||
double precision :: alpha_opt, beta_opt
|
||||
|
||||
!alpha_opt = expo_j_xmu(1) + expo_gauss_1_erf_x(1)
|
||||
!beta_opt = expo_j_xmu(2) + expo_gauss_1_erf_x(2)
|
||||
|
||||
! direct opt
|
||||
alpha_opt = 2.87875632d0
|
||||
beta_opt = 1.34801003d0
|
||||
|
||||
tmp = -0.25d0 / (mu_erf * dsqrt(dacos(-1.d0)))
|
||||
|
||||
alpha = alpha_opt * mu_erf
|
||||
call expo_fit_slater_gam(alpha, expos)
|
||||
beta = beta_opt * mu_erf * mu_erf
|
||||
|
||||
do i = 1, n_max_fit_slat
|
||||
expo_gauss_j_mu_1_erf(i) = expos(i) + beta
|
||||
coef_gauss_j_mu_1_erf(i) = tmp * coef_fit_slat_gauss(i)
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
double precision function F_x_j(x)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! F_x_j(x) = dimension-less correlation factor = x (1 - erf(x)) - 1/sqrt(pi) exp(-x^2)
|
||||
END_DOC
|
||||
double precision, intent(in) :: x
|
||||
F_x_j = x * (1.d0 - derf(x)) - 1/dsqrt(dacos(-1.d0)) * dexp(-x**2)
|
||||
|
||||
end
|
||||
|
||||
double precision function j_mu_F_x_j(x)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! j_mu_F_x_j(x) = correlation factor = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2)
|
||||
!
|
||||
! = 1/(2*mu) * F_x_j(mu*x)
|
||||
END_DOC
|
||||
double precision :: F_x_j
|
||||
double precision, intent(in) :: x
|
||||
j_mu_F_x_j = 0.5d0/mu_erf * F_x_j(x*mu_erf)
|
||||
end
|
||||
|
||||
double precision function j_mu(x)
|
||||
implicit none
|
||||
double precision, intent(in) :: x
|
||||
BEGIN_DOC
|
||||
! j_mu(x) = correlation factor = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2)
|
||||
END_DOC
|
||||
j_mu = 0.5d0* x * (1.d0 - derf(mu_erf*x)) - 0.5d0/( dsqrt(dacos(-1.d0))*mu_erf) * dexp(-(mu_erf*x)*(mu_erf*x))
|
||||
|
||||
end
|
||||
|
||||
double precision function j_mu_fit_gauss(x)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! j_mu_fit_gauss(x) = correlation factor = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2)
|
||||
!
|
||||
! but fitted with gaussians
|
||||
END_DOC
|
||||
double precision, intent(in) :: x
|
||||
integer :: i
|
||||
double precision :: alpha,coef
|
||||
j_mu_fit_gauss = 0.d0
|
||||
do i = 1, n_max_fit_slat
|
||||
alpha = expo_gauss_j_mu_x(i)
|
||||
coef = coef_gauss_j_mu_x(i)
|
||||
j_mu_fit_gauss += coef * dexp(-alpha*x*x)
|
||||
enddo
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
@ -1,299 +0,0 @@
|
||||
import sys, os
|
||||
QP_PATH=os.environ["QP_EZFIO"]
|
||||
sys.path.insert(0,QP_PATH+"/Python/")
|
||||
from ezfio import ezfio
|
||||
from datetime import datetime
|
||||
import time
|
||||
from math import exp, sqrt, pi
|
||||
import numpy as np
|
||||
import subprocess
|
||||
from scipy.integrate import tplquad
|
||||
import multiprocessing
|
||||
from multiprocessing import Pool
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
def read_ao():
|
||||
|
||||
with open('ao_data') as f:
|
||||
lines = f.readlines()
|
||||
|
||||
ao_prim_num = np.zeros((ao_num), dtype=int)
|
||||
ao_nucl = np.zeros((ao_num), dtype=int)
|
||||
ao_power = np.zeros((ao_num, 3))
|
||||
nucl_coord = np.zeros((ao_num, 3))
|
||||
ao_expo = np.zeros((ao_num, ao_num))
|
||||
ao_coef = np.zeros((ao_num, ao_num))
|
||||
|
||||
iline = 0
|
||||
for j in range(ao_num):
|
||||
|
||||
line = lines[iline]
|
||||
iline += 1
|
||||
ao_nucl[j] = int(line) - 1
|
||||
|
||||
line = lines[iline].split()
|
||||
iline += 1
|
||||
ao_power[j, 0] = float(line[0])
|
||||
ao_power[j, 1] = float(line[1])
|
||||
ao_power[j, 2] = float(line[2])
|
||||
|
||||
line = lines[iline].split()
|
||||
iline += 1
|
||||
nucl_coord[ao_nucl[j], 0] = float(line[0])
|
||||
nucl_coord[ao_nucl[j], 1] = float(line[1])
|
||||
nucl_coord[ao_nucl[j], 2] = float(line[2])
|
||||
|
||||
line = lines[iline]
|
||||
iline += 1
|
||||
ao_prim_num[j] = int(line)
|
||||
|
||||
for l in range(ao_prim_num[j]):
|
||||
|
||||
line = lines[iline].split()
|
||||
iline += 1
|
||||
ao_expo[l, j] = float(line[0])
|
||||
ao_coef[l, j] = float(line[1])
|
||||
|
||||
return( ao_prim_num
|
||||
, ao_nucl
|
||||
, ao_power
|
||||
, nucl_coord
|
||||
, ao_expo
|
||||
, ao_coef )
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
def Gao(X, i_ao):
|
||||
|
||||
ii = ao_nucl[i_ao]
|
||||
C = np.array([nucl_coord[ii,0], nucl_coord[ii,1], nucl_coord[ii,2]])
|
||||
Y = X - C
|
||||
dis = np.dot(Y,Y)
|
||||
|
||||
ip = np.array([ao_power[i_ao,0], ao_power[i_ao,1], ao_power[i_ao,2]])
|
||||
pol = np.prod(Y**ip)
|
||||
|
||||
xi = np.sum( ao_coef[:,i_ao] * np.exp(-dis*ao_expo[:,i_ao]) )
|
||||
|
||||
return(xi*pol)
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
def grad_Gao(X, i_ao):
|
||||
|
||||
ii = ao_nucl[i_ao]
|
||||
C = np.array([nucl_coord[ii,0], nucl_coord[ii,1], nucl_coord[ii,2]])
|
||||
|
||||
ix = ao_power[i_ao,0]
|
||||
iy = ao_power[i_ao,1]
|
||||
iz = ao_power[i_ao,2]
|
||||
|
||||
Y = X - C
|
||||
dis = np.dot(Y,Y)
|
||||
|
||||
xm = np.sum( ao_coef[:,i_ao]*np.exp(-dis*ao_expo[:,i_ao]))
|
||||
xp = np.sum(ao_expo[:,i_ao]*ao_coef[:,i_ao]*np.exp(-dis*ao_expo[:,i_ao]))
|
||||
|
||||
ip = np.array([ix+1, iy, iz])
|
||||
dx = -2. * np.prod(Y**ip) * xp
|
||||
if(ix > 0):
|
||||
ip = np.array([ix-1, iy, iz])
|
||||
dx += ix * np.prod(Y**ip) * xm
|
||||
|
||||
ip = np.array([ix, iy+1, iz])
|
||||
dy = -2. * np.prod(Y**ip) * xp
|
||||
if(iy > 0):
|
||||
ip = np.array([ix, iy-1, iz])
|
||||
dy += iy * np.prod(Y**ip) * xm
|
||||
|
||||
ip = np.array([ix, iy, iz+1])
|
||||
dz = -2. * np.prod(Y**ip) * xp
|
||||
if(iz > 0):
|
||||
ip = np.array([ix, iy, iz-1])
|
||||
dz += iz * np.prod(Y**ip) * xm
|
||||
|
||||
return(np.array([dx, dy, dz]))
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
# 3 x < XA | exp[-gama r_C^2] | XB >
|
||||
# - 2 x < XA | r_A^2 exp[-gama r_C^2] | XB >
|
||||
#
|
||||
def integ_lap(z, y, x, i_ao, j_ao):
|
||||
|
||||
X = np.array([x, y, z])
|
||||
|
||||
Gi = Gao(X, i_ao)
|
||||
Gj = Gao(X, j_ao)
|
||||
|
||||
c = 0.
|
||||
for k in range(nucl_num):
|
||||
gama = j1b_gauss_pen[k]
|
||||
C = nucl_coord[k,:]
|
||||
Y = X - C
|
||||
dis = np.dot(Y, Y)
|
||||
arg = exp(-gama*dis)
|
||||
arg = exp(-gama*dis)
|
||||
c += ( 3. - 2. * dis * gama ) * arg * gama * Gi * Gj
|
||||
|
||||
return(c)
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
#
|
||||
def integ_grad2(z, y, x, i_ao, j_ao):
|
||||
|
||||
X = np.array([x, y, z])
|
||||
|
||||
Gi = Gao(X, i_ao)
|
||||
Gj = Gao(X, j_ao)
|
||||
|
||||
c = np.zeros((3))
|
||||
for k in range(nucl_num):
|
||||
gama = j1b_gauss_pen[k]
|
||||
C = nucl_coord[k,:]
|
||||
Y = X - C
|
||||
c += gama * exp(-gama*np.dot(Y, Y)) * Y
|
||||
|
||||
return(-2*np.dot(c,c)*Gi*Gj)
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
#
|
||||
def integ_nonh(z, y, x, i_ao, j_ao):
|
||||
|
||||
X = np.array([x, y, z])
|
||||
|
||||
Gi = Gao(X, i_ao)
|
||||
|
||||
c = 0.
|
||||
for k in range(nucl_num):
|
||||
gama = j1b_gauss_pen[k]
|
||||
C = nucl_coord[k,:]
|
||||
Y = X - C
|
||||
grad = grad_Gao(X, j_ao)
|
||||
c += gama * exp(-gama*np.dot(Y,Y)) * np.dot(Y,grad)
|
||||
|
||||
return(2*c*Gi)
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
def perform_integ( ind_ao ):
|
||||
|
||||
i_ao = ind_ao[0]
|
||||
j_ao = ind_ao[1]
|
||||
|
||||
a = -15. #-np.Inf
|
||||
b = +15. #+np.Inf
|
||||
epsrel = 1e-5
|
||||
|
||||
res_lap, err_lap = tplquad( integ_lap
|
||||
, a, b
|
||||
, lambda x : a, lambda x : b
|
||||
, lambda x,y: a, lambda x,y: b
|
||||
, (i_ao, j_ao)
|
||||
, epsrel=epsrel )
|
||||
|
||||
res_grd, err_grd = tplquad( integ_grad2
|
||||
, a, b
|
||||
, lambda x : a, lambda x : b
|
||||
, lambda x,y: a, lambda x,y: b
|
||||
, (i_ao, j_ao)
|
||||
, epsrel=epsrel )
|
||||
|
||||
res_nnh, err_nnh = tplquad( integ_nonh
|
||||
, a, b
|
||||
, lambda x : a, lambda x : b
|
||||
, lambda x,y: a, lambda x,y: b
|
||||
, (i_ao, j_ao)
|
||||
, epsrel=epsrel )
|
||||
|
||||
return( [ res_lap, err_lap
|
||||
, res_grd, err_grd
|
||||
, res_nnh, err_nnh ])
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
def integ_eval():
|
||||
|
||||
list_ind = []
|
||||
for i_ao in range(ao_num):
|
||||
for j_ao in range(ao_num):
|
||||
list_ind.append( [i_ao, j_ao] )
|
||||
|
||||
nb_proc = multiprocessing.cpu_count()
|
||||
print(" --- Excexution with {} processors ---\n".format(nb_proc))
|
||||
|
||||
p = Pool(nb_proc)
|
||||
res = np.array( p.map( perform_integ, list_ind ) )
|
||||
|
||||
ii = 0
|
||||
for i_ao in range(ao_num):
|
||||
for j_ao in range(ao_num):
|
||||
print(" {} {} {:+e} {:+e} {:+e} {:+e}".format( i_ao, j_ao
|
||||
, res[ii][0], res[ii][1], res[ii][2], res[ii][3]) )
|
||||
ii += 1
|
||||
|
||||
p.close()
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
|
||||
# _____________________________________________________________________________
|
||||
#
|
||||
if __name__=="__main__":
|
||||
|
||||
t0 = time.time()
|
||||
|
||||
EZFIO_file = sys.argv[1]
|
||||
ezfio.set_file(EZFIO_file)
|
||||
|
||||
print(" Today's date:", datetime.now() )
|
||||
print(" EZFIO file = {}".format(EZFIO_file))
|
||||
|
||||
nucl_num = ezfio.get_nuclei_nucl_num()
|
||||
ao_num = ezfio.get_ao_basis_ao_num()
|
||||
j1b_gauss_pen = ezfio.get_ao_tc_eff_map_j1b_gauss_pen()
|
||||
|
||||
ao_prim_num, ao_nucl, ao_power, nucl_coord, ao_expo, ao_coef = read_ao()
|
||||
|
||||
#integ_eval()
|
||||
|
||||
i_ao = 0
|
||||
j_ao = 0
|
||||
|
||||
a = -5.
|
||||
b = +5.
|
||||
epsrel = 1e-1
|
||||
res_grd, err_grd = tplquad( integ_nonh
|
||||
, a, b
|
||||
, lambda x : a, lambda x : b
|
||||
, lambda x,y: a, lambda x,y: b
|
||||
, (i_ao, j_ao)
|
||||
, epsrel=epsrel )
|
||||
|
||||
print(res_grd, err_grd)
|
||||
|
||||
|
||||
tf = time.time() - t0
|
||||
print(' end after {} min'.format(tf/60.))
|
||||
# _____________________________________________________________________________
|
||||
|
||||
|
||||
|
@ -1,59 +0,0 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_gauss_pen, (nucl_num) ]
|
||||
|
||||
BEGIN_DOC
|
||||
! exponents of the 1-body Jastrow
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
logical :: exists
|
||||
|
||||
PROVIDE ezfio_filename
|
||||
|
||||
if (mpi_master) then
|
||||
call ezfio_has_ao_tc_eff_map_j1b_gauss_pen(exists)
|
||||
endif
|
||||
|
||||
IRP_IF MPI_DEBUG
|
||||
print *, irp_here, mpi_rank
|
||||
call MPI_BARRIER(MPI_COMM_WORLD, ierr)
|
||||
IRP_ENDIF
|
||||
|
||||
IRP_IF MPI
|
||||
include 'mpif.h'
|
||||
integer :: ierr
|
||||
call MPI_BCAST(j1b_gauss_pen, (nucl_num), MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, ierr)
|
||||
if (ierr /= MPI_SUCCESS) then
|
||||
stop 'Unable to read j1b_gauss_pen with MPI'
|
||||
endif
|
||||
IRP_ENDIF
|
||||
|
||||
if (exists) then
|
||||
|
||||
if (mpi_master) then
|
||||
write(6,'(A)') '.. >>>>> [ IO READ: j1b_gauss_pen ] <<<<< ..'
|
||||
call ezfio_get_ao_tc_eff_map_j1b_gauss_pen(j1b_gauss_pen)
|
||||
IRP_IF MPI
|
||||
call MPI_BCAST(j1b_gauss_pen, (nucl_num), MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, ierr)
|
||||
if (ierr /= MPI_SUCCESS) then
|
||||
stop 'Unable to read j1b_gauss_pen with MPI'
|
||||
endif
|
||||
IRP_ENDIF
|
||||
endif
|
||||
|
||||
else
|
||||
|
||||
integer :: i
|
||||
do i = 1, nucl_num
|
||||
j1b_gauss_pen(i) = 1d5
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -27,25 +27,32 @@ END_PROVIDER
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, ao_tc_sym_two_e_pot_cache, (0:64*64*64*64) ]
|
||||
|
||||
use map_module
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! Cache of |AO| integrals for fast access
|
||||
END_DOC
|
||||
PROVIDE ao_tc_sym_two_e_pot_in_map
|
||||
|
||||
integer :: i,j,k,l,ii
|
||||
integer(key_kind) :: idx
|
||||
real(integral_kind) :: integral
|
||||
|
||||
PROVIDE ao_tc_sym_two_e_pot_in_map
|
||||
|
||||
!$OMP PARALLEL DO PRIVATE (i,j,k,l,idx,ii,integral)
|
||||
do l=ao_tc_sym_two_e_pot_cache_min,ao_tc_sym_two_e_pot_cache_max
|
||||
do k=ao_tc_sym_two_e_pot_cache_min,ao_tc_sym_two_e_pot_cache_max
|
||||
do j=ao_tc_sym_two_e_pot_cache_min,ao_tc_sym_two_e_pot_cache_max
|
||||
do i=ao_tc_sym_two_e_pot_cache_min,ao_tc_sym_two_e_pot_cache_max
|
||||
do l = ao_tc_sym_two_e_pot_cache_min, ao_tc_sym_two_e_pot_cache_max
|
||||
do k = ao_tc_sym_two_e_pot_cache_min, ao_tc_sym_two_e_pot_cache_max
|
||||
do j = ao_tc_sym_two_e_pot_cache_min, ao_tc_sym_two_e_pot_cache_max
|
||||
do i = ao_tc_sym_two_e_pot_cache_min, ao_tc_sym_two_e_pot_cache_max
|
||||
!DIR$ FORCEINLINE
|
||||
call two_e_integrals_index(i,j,k,l,idx)
|
||||
call two_e_integrals_index(i, j, k, l, idx)
|
||||
!DIR$ FORCEINLINE
|
||||
call map_get(ao_tc_sym_two_e_pot_map,idx,integral)
|
||||
call map_get(ao_tc_sym_two_e_pot_map, idx, integral)
|
||||
ii = l-ao_tc_sym_two_e_pot_cache_min
|
||||
ii = ior( ishft(ii,6), k-ao_tc_sym_two_e_pot_cache_min)
|
||||
ii = ior( ishft(ii,6), j-ao_tc_sym_two_e_pot_cache_min)
|
||||
@ -59,10 +66,13 @@ BEGIN_PROVIDER [ double precision, ao_tc_sym_two_e_pot_cache, (0:64*64*64*64) ]
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
subroutine insert_into_ao_tc_sym_two_e_pot_map(n_integrals, buffer_i, buffer_values)
|
||||
|
||||
subroutine insert_into_ao_tc_sym_two_e_pot_map(n_integrals,buffer_i, buffer_values)
|
||||
use map_module
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! Create new entry into |AO| map
|
||||
END_DOC
|
||||
@ -72,21 +82,30 @@ subroutine insert_into_ao_tc_sym_two_e_pot_map(n_integrals,buffer_i, buffer_valu
|
||||
real(integral_kind), intent(inout) :: buffer_values(n_integrals)
|
||||
|
||||
call map_append(ao_tc_sym_two_e_pot_map, buffer_i, buffer_values, n_integrals)
|
||||
|
||||
end
|
||||
|
||||
double precision function get_ao_tc_sym_two_e_pot(i,j,k,l,map) result(result)
|
||||
! ---
|
||||
|
||||
double precision function get_ao_tc_sym_two_e_pot(i, j, k, l, map) result(result)
|
||||
|
||||
use map_module
|
||||
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! Gets one |AO| two-electron integral from the |AO| map in PHYSICIST NOTATION
|
||||
! Gets one |AO| two-electron integral from the |AO| map
|
||||
END_DOC
|
||||
|
||||
integer, intent(in) :: i,j,k,l
|
||||
integer(key_kind) :: idx
|
||||
type(map_type), intent(inout) :: map
|
||||
integer :: ii
|
||||
real(integral_kind) :: tmp
|
||||
logical, external :: ao_two_e_integral_zero
|
||||
|
||||
PROVIDE ao_tc_sym_two_e_pot_in_map ao_tc_sym_two_e_pot_cache ao_tc_sym_two_e_pot_cache_min
|
||||
|
||||
!DIR$ FORCEINLINE
|
||||
! if (ao_two_e_integral_zero(i,j,k,l)) then
|
||||
if (.False.) then
|
||||
@ -100,9 +119,9 @@ double precision function get_ao_tc_sym_two_e_pot(i,j,k,l,map) result(result)
|
||||
ii = ior(ii, i-ao_tc_sym_two_e_pot_cache_min)
|
||||
if (iand(ii, -64) /= 0) then
|
||||
!DIR$ FORCEINLINE
|
||||
call two_e_integrals_index(i,j,k,l,idx)
|
||||
call two_e_integrals_index(i, j, k, l, idx)
|
||||
!DIR$ FORCEINLINE
|
||||
call map_get(map,idx,tmp)
|
||||
call map_get(map, idx, tmp)
|
||||
tmp = tmp
|
||||
else
|
||||
ii = l-ao_tc_sym_two_e_pot_cache_min
|
||||
@ -112,9 +131,12 @@ double precision function get_ao_tc_sym_two_e_pot(i,j,k,l,map) result(result)
|
||||
tmp = ao_tc_sym_two_e_pot_cache(ii)
|
||||
endif
|
||||
endif
|
||||
|
||||
result = tmp
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
subroutine get_many_ao_tc_sym_two_e_pot(j,k,l,sze,out_val)
|
||||
use map_module
|
||||
|
332
src/ao_tc_eff_map/one_e_1bgauss_grad2.irp.f
Normal file
332
src/ao_tc_eff_map/one_e_1bgauss_grad2.irp.f
Normal file
@ -0,0 +1,332 @@
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_gauss_hermII, (ao_num,ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! :math:`\langle \chi_A | -0.5 \grad \tau_{1b} \cdot \grad \tau_{1b} | \chi_B \rangle`
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: num_A, num_B
|
||||
integer :: power_A(3), power_B(3)
|
||||
integer :: i, j, k1, k2, l, m
|
||||
double precision :: alpha, beta, gama1, gama2, coef1, coef2
|
||||
double precision :: A_center(3), B_center(3), C_center1(3), C_center2(3)
|
||||
double precision :: c1, c
|
||||
|
||||
integer :: dim1
|
||||
double precision :: overlap_y, d_a_2, overlap_z, overlap
|
||||
|
||||
double precision :: int_gauss_4G
|
||||
|
||||
PROVIDE j1b_type j1b_pen j1b_coeff
|
||||
|
||||
! --------------------------------------------------------------------------------
|
||||
! -- Dummy call to provide everything
|
||||
dim1 = 100
|
||||
A_center(:) = 0.d0
|
||||
B_center(:) = 1.d0
|
||||
alpha = 1.d0
|
||||
beta = 0.1d0
|
||||
power_A(:) = 1
|
||||
power_B(:) = 0
|
||||
call overlap_gaussian_xyz( A_center, B_center, alpha, beta, power_A, power_B &
|
||||
, overlap_y, d_a_2, overlap_z, overlap, dim1 )
|
||||
! --------------------------------------------------------------------------------
|
||||
|
||||
|
||||
j1b_gauss_hermII(1:ao_num,1:ao_num) = 0.d0
|
||||
|
||||
if(j1b_type .eq. 1) then
|
||||
! \tau_1b = \sum_iA -[1 - exp(-alpha_A r_iA^2)]
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k1, k2, l, m, alpha, beta, gama1, gama2, &
|
||||
!$OMP A_center, B_center, C_center1, C_center2, &
|
||||
!$OMP power_A, power_B, num_A, num_B, c1, c) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_pen, j1b_gauss_hermII)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do j = 1, ao_num
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k1 = 1, nucl_num
|
||||
gama1 = j1b_pen(k1)
|
||||
C_center1(1:3) = nucl_coord(k1,1:3)
|
||||
|
||||
do k2 = 1, nucl_num
|
||||
gama2 = j1b_pen(k2)
|
||||
C_center2(1:3) = nucl_coord(k2,1:3)
|
||||
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] r_C1 \cdot r_C2 | XB >
|
||||
c1 = int_gauss_4G( A_center, B_center, C_center1, C_center2 &
|
||||
, power_A, power_B, alpha, beta, gama1, gama2 )
|
||||
|
||||
c = c - 2.d0 * gama1 * gama2 * c1
|
||||
enddo
|
||||
enddo
|
||||
|
||||
j1b_gauss_hermII(i,j) = j1b_gauss_hermII(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
elseif(j1b_type .eq. 2) then
|
||||
! \tau_1b = \sum_iA [c_A exp(-alpha_A r_iA^2)]
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k1, k2, l, m, alpha, beta, gama1, gama2, &
|
||||
!$OMP A_center, B_center, C_center1, C_center2, &
|
||||
!$OMP power_A, power_B, num_A, num_B, c1, c, &
|
||||
!$OMP coef1, coef2) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_pen, j1b_gauss_hermII, &
|
||||
!$OMP j1b_coeff)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do j = 1, ao_num
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k1 = 1, nucl_num
|
||||
gama1 = j1b_pen (k1)
|
||||
coef1 = j1b_coeff(k1)
|
||||
C_center1(1:3) = nucl_coord(k1,1:3)
|
||||
|
||||
do k2 = 1, nucl_num
|
||||
gama2 = j1b_pen (k2)
|
||||
coef2 = j1b_coeff(k2)
|
||||
C_center2(1:3) = nucl_coord(k2,1:3)
|
||||
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] r_C1 \cdot r_C2 | XB >
|
||||
c1 = int_gauss_4G( A_center, B_center, C_center1, C_center2 &
|
||||
, power_A, power_B, alpha, beta, gama1, gama2 )
|
||||
|
||||
c = c - 2.d0 * gama1 * gama2 * coef1 * coef2 * c1
|
||||
enddo
|
||||
enddo
|
||||
|
||||
j1b_gauss_hermII(i,j) = j1b_gauss_hermII(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
!_____________________________________________________________________________________________________________
|
||||
!
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] r_C1 \cdot r_C2 | XB >
|
||||
!
|
||||
double precision function int_gauss_4G( A_center, B_center, C_center1, C_center2, power_A, power_B &
|
||||
, alpha, beta, gama1, gama2 )
|
||||
|
||||
! for max_dim
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer , intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center1(3), C_center2(3)
|
||||
double precision, intent(in) :: alpha, beta, gama1, gama2
|
||||
|
||||
integer :: i, dim1, power_C
|
||||
integer :: iorder(3)
|
||||
double precision :: AB_expo, fact_AB, AB_center(3), P_AB(0:max_dim,3)
|
||||
double precision :: gama, fact_C, C_center(3)
|
||||
double precision :: cx0, cy0, cz0, c_tmp1, c_tmp2, cx, cy, cz
|
||||
double precision :: int_tmp
|
||||
|
||||
double precision :: overlap_gaussian_x
|
||||
|
||||
dim1 = 100
|
||||
|
||||
! P_AB(0:max_dim,3) polynomial
|
||||
! AB_center(3) new center
|
||||
! AB_expo new exponent
|
||||
! fact_AB constant factor
|
||||
! iorder(3) i_order(i) = order of the polynomials
|
||||
call give_explicit_poly_and_gaussian( P_AB, AB_center, AB_expo, fact_AB &
|
||||
, iorder, alpha, beta, power_A, power_B, A_center, B_center, dim1)
|
||||
|
||||
call gaussian_product(gama1, C_center1, gama2, C_center2, fact_C, gama, C_center)
|
||||
|
||||
! <<<
|
||||
! to avoid multi-evaluation
|
||||
power_C = 0
|
||||
|
||||
cx0 = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx0 = cx0 + P_AB(i,1) * overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cy0 = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy0 = cy0 + P_AB(i,2) * overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cz0 = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz0 = cz0 + P_AB(i,3) * overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
! >>>
|
||||
|
||||
int_tmp = 0.d0
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
!
|
||||
! x term:
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] (x - x_C1) (x - x_C2) | XB >
|
||||
!
|
||||
|
||||
c_tmp1 = 2.d0 * C_center(1) - C_center1(1) - C_center2(1)
|
||||
c_tmp2 = ( C_center(1) - C_center1(1) ) * ( C_center(1) - C_center2(1) )
|
||||
|
||||
cx = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (x - x_C)^2 | XB >
|
||||
power_C = 2
|
||||
cx = cx + P_AB(i,1) &
|
||||
* overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (x - x_C) | XB >
|
||||
power_C = 1
|
||||
cx = cx + P_AB(i,1) * c_tmp1 &
|
||||
* overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
power_C = 0
|
||||
cx = cx + P_AB(i,1) * c_tmp2 &
|
||||
* overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
enddo
|
||||
|
||||
int_tmp += cx * cy0 * cz0
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
!
|
||||
! y term:
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] (y - y_C1) (y - y_C2) | XB >
|
||||
!
|
||||
|
||||
c_tmp1 = 2.d0 * C_center(2) - C_center1(2) - C_center2(2)
|
||||
c_tmp2 = ( C_center(2) - C_center1(2) ) * ( C_center(2) - C_center2(2) )
|
||||
|
||||
cy = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (y - y_C)^2 | XB >
|
||||
power_C = 2
|
||||
cy = cy + P_AB(i,2) &
|
||||
* overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (y - y_C) | XB >
|
||||
power_C = 1
|
||||
cy = cy + P_AB(i,2) * c_tmp1 &
|
||||
* overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
power_C = 0
|
||||
cy = cy + P_AB(i,2) * c_tmp2 &
|
||||
* overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
enddo
|
||||
|
||||
int_tmp += cx0 * cy * cz0
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
!
|
||||
! z term:
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] (z - z_C1) (z - z_C2) | XB >
|
||||
!
|
||||
|
||||
c_tmp1 = 2.d0 * C_center(3) - C_center1(3) - C_center2(3)
|
||||
c_tmp2 = ( C_center(3) - C_center1(3) ) * ( C_center(3) - C_center2(3) )
|
||||
|
||||
cz = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (z - z_C)^2 | XB >
|
||||
power_C = 2
|
||||
cz = cz + P_AB(i,3) &
|
||||
* overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (z - z_C) | XB >
|
||||
power_C = 1
|
||||
cz = cz + P_AB(i,3) * c_tmp1 &
|
||||
* overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
power_C = 0
|
||||
cz = cz + P_AB(i,3) * c_tmp2 &
|
||||
* overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
enddo
|
||||
|
||||
int_tmp += cx0 * cy0 * cz
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
|
||||
int_gauss_4G = fact_AB * fact_C * int_tmp
|
||||
|
||||
return
|
||||
end function int_gauss_4G
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
||||
|
||||
|
@ -1,519 +0,0 @@
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_gauss_hermII, (ao_num,ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Hermitian part of 1-body Jastrow factow in the |AO| basis set.
|
||||
!
|
||||
! :math:`\langle \chi_A | -0.5 \grad \tau_{1b} \cdot \grad \tau_{1b} | \chi_B \rangle`
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: num_A, num_B
|
||||
integer :: power_A(3), power_B(3)
|
||||
integer :: i, j, k1, k2, l, m
|
||||
double precision :: alpha, beta, gama1, gama2
|
||||
double precision :: A_center(3), B_center(3), C_center1(3), C_center2(3)
|
||||
double precision :: c1, c
|
||||
|
||||
integer :: dim1
|
||||
double precision :: overlap_y, d_a_2, overlap_z, overlap
|
||||
|
||||
double precision :: int_gauss_4G
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
! --------------------------------------------------------------------------------
|
||||
! -- Dummy call to provide everything
|
||||
dim1 = 100
|
||||
A_center(:) = 0.d0
|
||||
B_center(:) = 1.d0
|
||||
alpha = 1.d0
|
||||
beta = 0.1d0
|
||||
power_A(:) = 1
|
||||
power_B(:) = 0
|
||||
call overlap_gaussian_xyz( A_center, B_center, alpha, beta, power_A, power_B &
|
||||
, overlap_y, d_a_2, overlap_z, overlap, dim1 )
|
||||
! --------------------------------------------------------------------------------
|
||||
|
||||
|
||||
j1b_gauss_hermII(1:ao_num,1:ao_num) = 0.d0
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k1, k2, l, m, alpha, beta, gama1, gama2, &
|
||||
!$OMP A_center, B_center, C_center1, C_center2, &
|
||||
!$OMP power_A, power_B, num_A, num_B, c1, c) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_gauss_pen, j1b_gauss_hermII)
|
||||
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
|
||||
do j = 1, ao_num
|
||||
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k1 = 1, nucl_num
|
||||
gama1 = j1b_gauss_pen(k1)
|
||||
C_center1(1:3) = nucl_coord(k1,1:3)
|
||||
|
||||
do k2 = 1, nucl_num
|
||||
gama2 = j1b_gauss_pen(k2)
|
||||
C_center2(1:3) = nucl_coord(k2,1:3)
|
||||
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] r_C1 \cdot r_C2 | XB >
|
||||
c1 = int_gauss_4G( A_center, B_center, C_center1, C_center2 &
|
||||
, power_A, power_B, alpha, beta, gama1, gama2 )
|
||||
|
||||
c = c - 2.d0 * gama1 * gama2 * c1
|
||||
enddo
|
||||
enddo
|
||||
|
||||
j1b_gauss_hermII(i,j) = j1b_gauss_hermII(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
!_____________________________________________________________________________________________________________
|
||||
!
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] r_C1 \cdot r_C2 | XB >
|
||||
!
|
||||
double precision function int_gauss_4G( A_center, B_center, C_center1, C_center2, power_A, power_B &
|
||||
, alpha, beta, gama1, gama2 )
|
||||
|
||||
! for max_dim
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer , intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center1(3), C_center2(3)
|
||||
double precision, intent(in) :: alpha, beta, gama1, gama2
|
||||
|
||||
integer :: i, dim1, power_C
|
||||
integer :: iorder(3)
|
||||
double precision :: AB_expo, fact_AB, AB_center(3), P_AB(0:max_dim,3)
|
||||
double precision :: gama, fact_C, C_center(3)
|
||||
double precision :: cx0, cy0, cz0, c_tmp1, c_tmp2, cx, cy, cz
|
||||
double precision :: int_tmp
|
||||
|
||||
double precision :: overlap_gaussian_x
|
||||
|
||||
dim1 = 100
|
||||
|
||||
! P_AB(0:max_dim,3) polynomial
|
||||
! AB_center(3) new center
|
||||
! AB_expo new exponent
|
||||
! fact_AB constant factor
|
||||
! iorder(3) i_order(i) = order of the polynomials
|
||||
call give_explicit_poly_and_gaussian( P_AB, AB_center, AB_expo, fact_AB &
|
||||
, iorder, alpha, beta, power_A, power_B, A_center, B_center, dim1)
|
||||
|
||||
call gaussian_product(gama1, C_center1, gama2, C_center2, fact_C, gama, C_center)
|
||||
|
||||
! <<<
|
||||
! to avoid multi-evaluation
|
||||
power_C = 0
|
||||
|
||||
cx0 = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx0 = cx0 + P_AB(i,1) * overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cy0 = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy0 = cy0 + P_AB(i,2) * overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cz0 = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz0 = cz0 + P_AB(i,3) * overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
! >>>
|
||||
|
||||
int_tmp = 0.d0
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
!
|
||||
! x term:
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] (x - x_C1) (x - x_C2) | XB >
|
||||
!
|
||||
|
||||
c_tmp1 = 2.d0 * C_center(1) - C_center1(1) - C_center2(1)
|
||||
c_tmp2 = ( C_center(1) - C_center1(1) ) * ( C_center(1) - C_center2(1) )
|
||||
|
||||
cx = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (x - x_C)^2 | XB >
|
||||
power_C = 2
|
||||
cx = cx + P_AB(i,1) &
|
||||
* overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (x - x_C) | XB >
|
||||
power_C = 1
|
||||
cx = cx + P_AB(i,1) * c_tmp1 &
|
||||
* overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
power_C = 0
|
||||
cx = cx + P_AB(i,1) * c_tmp2 &
|
||||
* overlap_gaussian_x( AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
enddo
|
||||
|
||||
int_tmp += cx * cy0 * cz0
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
!
|
||||
! y term:
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] (y - y_C1) (y - y_C2) | XB >
|
||||
!
|
||||
|
||||
c_tmp1 = 2.d0 * C_center(2) - C_center1(2) - C_center2(2)
|
||||
c_tmp2 = ( C_center(2) - C_center1(2) ) * ( C_center(2) - C_center2(2) )
|
||||
|
||||
cy = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (y - y_C)^2 | XB >
|
||||
power_C = 2
|
||||
cy = cy + P_AB(i,2) &
|
||||
* overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (y - y_C) | XB >
|
||||
power_C = 1
|
||||
cy = cy + P_AB(i,2) * c_tmp1 &
|
||||
* overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
power_C = 0
|
||||
cy = cy + P_AB(i,2) * c_tmp2 &
|
||||
* overlap_gaussian_x( AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
enddo
|
||||
|
||||
int_tmp += cx0 * cy * cz0
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
!
|
||||
! z term:
|
||||
! < XA | exp[-gama1 r_C1^2 -gama2 r_C2^2] (z - z_C1) (z - z_C2) | XB >
|
||||
!
|
||||
|
||||
c_tmp1 = 2.d0 * C_center(3) - C_center1(3) - C_center2(3)
|
||||
c_tmp2 = ( C_center(3) - C_center1(3) ) * ( C_center(3) - C_center2(3) )
|
||||
|
||||
cz = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (z - z_C)^2 | XB >
|
||||
power_C = 2
|
||||
cz = cz + P_AB(i,3) &
|
||||
* overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] (z - z_C) | XB >
|
||||
power_C = 1
|
||||
cz = cz + P_AB(i,3) * c_tmp1 &
|
||||
* overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
power_C = 0
|
||||
cz = cz + P_AB(i,3) * c_tmp2 &
|
||||
* overlap_gaussian_x( AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
|
||||
enddo
|
||||
|
||||
int_tmp += cx0 * cy0 * cz
|
||||
|
||||
! -----------------------------------------------------------------------------------------------
|
||||
|
||||
int_gauss_4G = fact_AB * fact_C * int_tmp
|
||||
|
||||
return
|
||||
end function int_gauss_4G
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_gauss_hermI, (ao_num,ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Hermitian part of 1-body Jastrow factow in the |AO| basis set.
|
||||
!
|
||||
! :math:`\langle \chi_A | -0.5 \Delta \tau_{1b} | \chi_B \rangle`
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: num_A, num_B
|
||||
integer :: power_A(3), power_B(3)
|
||||
integer :: i, j, k, l, m
|
||||
double precision :: alpha, beta, gama
|
||||
double precision :: A_center(3), B_center(3), C_center(3)
|
||||
double precision :: c1, c2, c
|
||||
|
||||
integer :: dim1
|
||||
double precision :: overlap_y, d_a_2, overlap_z, overlap
|
||||
|
||||
double precision :: int_gauss_r0, int_gauss_r2
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
! --------------------------------------------------------------------------------
|
||||
! -- Dummy call to provide everything
|
||||
dim1 = 100
|
||||
A_center(:) = 0.d0
|
||||
B_center(:) = 1.d0
|
||||
alpha = 1.d0
|
||||
beta = 0.1d0
|
||||
power_A(:) = 1
|
||||
power_B(:) = 0
|
||||
call overlap_gaussian_xyz( A_center, B_center, alpha, beta, power_A, power_B &
|
||||
, overlap_y, d_a_2, overlap_z, overlap, dim1 )
|
||||
! --------------------------------------------------------------------------------
|
||||
|
||||
j1b_gauss_hermI(1:ao_num,1:ao_num) = 0.d0
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, &
|
||||
!$OMP A_center, B_center, C_center, power_A, power_B, &
|
||||
!$OMP num_A, num_B, c1, c2, c) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_gauss_pen, j1b_gauss_hermI)
|
||||
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
|
||||
do j = 1, ao_num
|
||||
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k = 1, nucl_num
|
||||
|
||||
gama = j1b_gauss_pen(k)
|
||||
C_center(1:3) = nucl_coord(k,1:3)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
c1 = int_gauss_r0( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
! < XA | r_A^2 exp[-gama r_C^2] | XB >
|
||||
c2 = int_gauss_r2( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
c = c + 3.d0 * gama * c1 - 2.d0 * gama * gama * c2
|
||||
enddo
|
||||
|
||||
j1b_gauss_hermI(i,j) = j1b_gauss_hermI(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
|
||||
!_____________________________________________________________________________________________________________
|
||||
!
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
!
|
||||
double precision function int_gauss_r0(A_center, B_center, C_center, power_A, power_B, alpha, beta, gama)
|
||||
|
||||
! for max_dim
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer , intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center(3)
|
||||
double precision, intent(in) :: alpha, beta, gama
|
||||
|
||||
integer :: i, power_C, dim1
|
||||
integer :: iorder(3)
|
||||
integer :: nmax
|
||||
double precision :: AB_expo, fact_AB, AB_center(3), P_AB(0:max_dim,3)
|
||||
double precision :: cx, cy, cz
|
||||
|
||||
double precision :: overlap_gaussian_x
|
||||
|
||||
dim1 = 100
|
||||
|
||||
! P_AB(0:max_dim,3) polynomial
|
||||
! AB_center(3) new center
|
||||
! AB_expo new exponent
|
||||
! fact_AB constant factor
|
||||
! iorder(3) i_order(i) = order of the polynomials
|
||||
call give_explicit_poly_and_gaussian( P_AB, AB_center, AB_expo, fact_AB &
|
||||
, iorder, alpha, beta, power_A, power_B, A_center, B_center, dim1)
|
||||
|
||||
if( fact_AB .lt. 1d-20 ) then
|
||||
int_gauss_r0 = 0.d0
|
||||
return
|
||||
endif
|
||||
|
||||
power_C = 0
|
||||
cx = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx = cx + P_AB(i,1) * overlap_gaussian_x(AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cy = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy = cy + P_AB(i,2) * overlap_gaussian_x(AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cz = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz = cz + P_AB(i,3) * overlap_gaussian_x(AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
|
||||
int_gauss_r0 = fact_AB * cx * cy * cz
|
||||
|
||||
return
|
||||
end function int_gauss_r0
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
||||
|
||||
|
||||
|
||||
!_____________________________________________________________________________________________________________
|
||||
!
|
||||
! < XA | r_C^2 exp[-gama r_C^2] | XB >
|
||||
!
|
||||
double precision function int_gauss_r2(A_center, B_center, C_center, power_A, power_B, alpha, beta, gama)
|
||||
|
||||
! for max_dim
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center(3)
|
||||
double precision, intent(in) :: alpha, beta, gama
|
||||
|
||||
integer :: i, power_C, dim1
|
||||
integer :: iorder(3)
|
||||
double precision :: AB_expo, fact_AB, AB_center(3), P_AB(0:max_dim,3)
|
||||
double precision :: cx0, cy0, cz0, cx, cy, cz
|
||||
double precision :: int_tmp
|
||||
|
||||
double precision :: overlap_gaussian_x
|
||||
|
||||
dim1 = 100
|
||||
|
||||
! P_AB(0:max_dim,3) polynomial centered on AB_center
|
||||
! AB_center(3) new center
|
||||
! AB_expo new exponent
|
||||
! fact_AB constant factor
|
||||
! iorder(3) i_order(i) = order of the polynomials
|
||||
call give_explicit_poly_and_gaussian( P_AB, AB_center, AB_expo, fact_AB &
|
||||
, iorder, alpha, beta, power_A, power_B, A_center, B_center, dim1)
|
||||
|
||||
! <<<
|
||||
! to avoid multi-evaluation
|
||||
power_C = 0
|
||||
|
||||
cx0 = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx0 = cx0 + P_AB(i,1) * overlap_gaussian_x(AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cy0 = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy0 = cy0 + P_AB(i,2) * overlap_gaussian_x(AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cz0 = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz0 = cz0 + P_AB(i,3) * overlap_gaussian_x(AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
! >>>
|
||||
|
||||
int_tmp = 0.d0
|
||||
|
||||
power_C = 2
|
||||
|
||||
! ( x - XC)^2
|
||||
cx = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx = cx + P_AB(i,1) * overlap_gaussian_x(AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
int_tmp += cx * cy0 * cz0
|
||||
|
||||
! ( y - YC)^2
|
||||
cy = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy = cy + P_AB(i,2) * overlap_gaussian_x(AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
int_tmp += cx0 * cy * cz0
|
||||
|
||||
! ( z - ZC)^2
|
||||
cz = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz = cz + P_AB(i,3) * overlap_gaussian_x(AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
int_tmp += cx0 * cy0 * cz
|
||||
|
||||
int_gauss_r2 = fact_AB * int_tmp
|
||||
|
||||
return
|
||||
end function int_gauss_r2
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
303
src/ao_tc_eff_map/one_e_1bgauss_lap.irp.f
Normal file
303
src/ao_tc_eff_map/one_e_1bgauss_lap.irp.f
Normal file
@ -0,0 +1,303 @@
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_gauss_hermI, (ao_num,ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! :math:`\langle \chi_A | -0.5 \Delta \tau_{1b} | \chi_B \rangle`
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: num_A, num_B
|
||||
integer :: power_A(3), power_B(3)
|
||||
integer :: i, j, k, l, m
|
||||
double precision :: alpha, beta, gama, coef
|
||||
double precision :: A_center(3), B_center(3), C_center(3)
|
||||
double precision :: c1, c2, c
|
||||
|
||||
integer :: dim1
|
||||
double precision :: overlap_y, d_a_2, overlap_z, overlap
|
||||
|
||||
double precision :: int_gauss_r0, int_gauss_r2
|
||||
|
||||
PROVIDE j1b_type j1b_pen j1b_coeff
|
||||
|
||||
! --------------------------------------------------------------------------------
|
||||
! -- Dummy call to provide everything
|
||||
dim1 = 100
|
||||
A_center(:) = 0.d0
|
||||
B_center(:) = 1.d0
|
||||
alpha = 1.d0
|
||||
beta = 0.1d0
|
||||
power_A(:) = 1
|
||||
power_B(:) = 0
|
||||
call overlap_gaussian_xyz( A_center, B_center, alpha, beta, power_A, power_B &
|
||||
, overlap_y, d_a_2, overlap_z, overlap, dim1 )
|
||||
! --------------------------------------------------------------------------------
|
||||
|
||||
j1b_gauss_hermI(1:ao_num,1:ao_num) = 0.d0
|
||||
|
||||
if(j1b_type .eq. 1) then
|
||||
! \tau_1b = \sum_iA -[1 - exp(-alpha_A r_iA^2)]
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, &
|
||||
!$OMP A_center, B_center, C_center, power_A, power_B, &
|
||||
!$OMP num_A, num_B, c1, c2, c) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_pen, j1b_gauss_hermI)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do j = 1, ao_num
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k = 1, nucl_num
|
||||
gama = j1b_pen(k)
|
||||
C_center(1:3) = nucl_coord(k,1:3)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
c1 = int_gauss_r0( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
! < XA | r_A^2 exp[-gama r_C^2] | XB >
|
||||
c2 = int_gauss_r2( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
c = c + 3.d0 * gama * c1 - 2.d0 * gama * gama * c2
|
||||
enddo
|
||||
|
||||
j1b_gauss_hermI(i,j) = j1b_gauss_hermI(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
elseif(j1b_type .eq. 2) then
|
||||
! \tau_1b = \sum_iA [c_A exp(-alpha_A r_iA^2)]
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, coef, &
|
||||
!$OMP A_center, B_center, C_center, power_A, power_B, &
|
||||
!$OMP num_A, num_B, c1, c2, c) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_pen, j1b_gauss_hermI, &
|
||||
!$OMP j1b_coeff)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do j = 1, ao_num
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k = 1, nucl_num
|
||||
gama = j1b_pen (k)
|
||||
coef = j1b_coeff(k)
|
||||
C_center(1:3) = nucl_coord(k,1:3)
|
||||
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
c1 = int_gauss_r0( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
! < XA | r_A^2 exp[-gama r_C^2] | XB >
|
||||
c2 = int_gauss_r2( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
c = c + 3.d0 * gama * coef * c1 - 2.d0 * gama * gama * coef * c2
|
||||
enddo
|
||||
|
||||
j1b_gauss_hermI(i,j) = j1b_gauss_hermI(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
|
||||
!_____________________________________________________________________________________________________________
|
||||
!
|
||||
! < XA | exp[-gama r_C^2] | XB >
|
||||
!
|
||||
double precision function int_gauss_r0(A_center, B_center, C_center, power_A, power_B, alpha, beta, gama)
|
||||
|
||||
! for max_dim
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer , intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center(3)
|
||||
double precision, intent(in) :: alpha, beta, gama
|
||||
|
||||
integer :: i, power_C, dim1
|
||||
integer :: iorder(3)
|
||||
integer :: nmax
|
||||
double precision :: AB_expo, fact_AB, AB_center(3), P_AB(0:max_dim,3)
|
||||
double precision :: cx, cy, cz
|
||||
|
||||
double precision :: overlap_gaussian_x
|
||||
|
||||
dim1 = 100
|
||||
|
||||
! P_AB(0:max_dim,3) polynomial
|
||||
! AB_center(3) new center
|
||||
! AB_expo new exponent
|
||||
! fact_AB constant factor
|
||||
! iorder(3) i_order(i) = order of the polynomials
|
||||
call give_explicit_poly_and_gaussian( P_AB, AB_center, AB_expo, fact_AB &
|
||||
, iorder, alpha, beta, power_A, power_B, A_center, B_center, dim1)
|
||||
|
||||
if( fact_AB .lt. 1d-20 ) then
|
||||
int_gauss_r0 = 0.d0
|
||||
return
|
||||
endif
|
||||
|
||||
power_C = 0
|
||||
cx = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx = cx + P_AB(i,1) * overlap_gaussian_x(AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cy = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy = cy + P_AB(i,2) * overlap_gaussian_x(AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cz = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz = cz + P_AB(i,3) * overlap_gaussian_x(AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
|
||||
int_gauss_r0 = fact_AB * cx * cy * cz
|
||||
|
||||
return
|
||||
end function int_gauss_r0
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
||||
|
||||
|
||||
|
||||
!_____________________________________________________________________________________________________________
|
||||
!
|
||||
! < XA | r_C^2 exp[-gama r_C^2] | XB >
|
||||
!
|
||||
double precision function int_gauss_r2(A_center, B_center, C_center, power_A, power_B, alpha, beta, gama)
|
||||
|
||||
! for max_dim
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: power_A(3), power_B(3)
|
||||
double precision, intent(in) :: A_center(3), B_center(3), C_center(3)
|
||||
double precision, intent(in) :: alpha, beta, gama
|
||||
|
||||
integer :: i, power_C, dim1
|
||||
integer :: iorder(3)
|
||||
double precision :: AB_expo, fact_AB, AB_center(3), P_AB(0:max_dim,3)
|
||||
double precision :: cx0, cy0, cz0, cx, cy, cz
|
||||
double precision :: int_tmp
|
||||
|
||||
double precision :: overlap_gaussian_x
|
||||
|
||||
dim1 = 100
|
||||
|
||||
! P_AB(0:max_dim,3) polynomial centered on AB_center
|
||||
! AB_center(3) new center
|
||||
! AB_expo new exponent
|
||||
! fact_AB constant factor
|
||||
! iorder(3) i_order(i) = order of the polynomials
|
||||
call give_explicit_poly_and_gaussian( P_AB, AB_center, AB_expo, fact_AB &
|
||||
, iorder, alpha, beta, power_A, power_B, A_center, B_center, dim1)
|
||||
|
||||
! <<<
|
||||
! to avoid multi-evaluation
|
||||
power_C = 0
|
||||
|
||||
cx0 = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx0 = cx0 + P_AB(i,1) * overlap_gaussian_x(AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cy0 = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy0 = cy0 + P_AB(i,2) * overlap_gaussian_x(AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
cz0 = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz0 = cz0 + P_AB(i,3) * overlap_gaussian_x(AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
! >>>
|
||||
|
||||
int_tmp = 0.d0
|
||||
|
||||
power_C = 2
|
||||
|
||||
! ( x - XC)^2
|
||||
cx = 0.d0
|
||||
do i = 0, iorder(1)
|
||||
cx = cx + P_AB(i,1) * overlap_gaussian_x(AB_center(1), C_center(1), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
int_tmp += cx * cy0 * cz0
|
||||
|
||||
! ( y - YC)^2
|
||||
cy = 0.d0
|
||||
do i = 0, iorder(2)
|
||||
cy = cy + P_AB(i,2) * overlap_gaussian_x(AB_center(2), C_center(2), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
int_tmp += cx0 * cy * cz0
|
||||
|
||||
! ( z - ZC)^2
|
||||
cz = 0.d0
|
||||
do i = 0, iorder(3)
|
||||
cz = cz + P_AB(i,3) * overlap_gaussian_x(AB_center(3), C_center(3), AB_expo, gama, i, power_C, dim1)
|
||||
enddo
|
||||
int_tmp += cx0 * cy0 * cz
|
||||
|
||||
int_gauss_r2 = fact_AB * int_tmp
|
||||
|
||||
return
|
||||
end function int_gauss_r2
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
||||
|
||||
|
@ -1,11 +1,10 @@
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Hermitian part of 1-body Jastrow factow in the |AO| basis set.
|
||||
!
|
||||
! \langle \chi_i | - grad \tau_{1b} \cdot grad | \chi_j \rangle =
|
||||
! 2 \sum_A aA \langle \chi_i | exp[-aA riA^2] (ri-rA) \cdot grad | \chi_j \rangle
|
||||
! j1b_gauss_nonherm(i,j) = \langle \chi_j | - grad \tau_{1b} \cdot grad | \chi_i \rangle
|
||||
!
|
||||
END_DOC
|
||||
|
||||
@ -14,7 +13,7 @@ BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
integer :: num_A, num_B
|
||||
integer :: power_A(3), power_B(3)
|
||||
integer :: i, j, k, l, m
|
||||
double precision :: alpha, beta, gama
|
||||
double precision :: alpha, beta, gama, coef
|
||||
double precision :: A_center(3), B_center(3), C_center(3)
|
||||
double precision :: c1, c
|
||||
|
||||
@ -23,7 +22,7 @@ BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
|
||||
double precision :: int_gauss_deriv
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
PROVIDE j1b_type j1b_pen j1b_coeff
|
||||
|
||||
! --------------------------------------------------------------------------------
|
||||
! -- Dummy call to provide everything
|
||||
@ -41,6 +40,9 @@ BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
|
||||
j1b_gauss_nonherm(1:ao_num,1:ao_num) = 0.d0
|
||||
|
||||
if(j1b_type .eq. 1) then
|
||||
! \tau_1b = \sum_iA -[1 - exp(-alpha_A r_iA^2)]
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, &
|
||||
@ -49,18 +51,14 @@ BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_gauss_pen, j1b_gauss_nonherm)
|
||||
|
||||
!$OMP nucl_num, j1b_pen, j1b_gauss_nonherm)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
|
||||
do j = 1, ao_num
|
||||
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
@ -73,8 +71,7 @@ BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
|
||||
c = 0.d0
|
||||
do k = 1, nucl_num
|
||||
|
||||
gama = j1b_gauss_pen(k)
|
||||
gama = j1b_pen(k)
|
||||
C_center(1:3) = nucl_coord(k,1:3)
|
||||
|
||||
! \langle \chi_A | exp[-gama r_C^2] r_C \cdot grad | \chi_B \rangle
|
||||
@ -87,15 +84,68 @@ BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
|
||||
j1b_gauss_nonherm(i,j) = j1b_gauss_nonherm(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
elseif(j1b_type .eq. 2) then
|
||||
! \tau_1b = \sum_iA [c_A exp(-alpha_A r_iA^2)]
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, coef, &
|
||||
!$OMP A_center, B_center, C_center, power_A, power_B, &
|
||||
!$OMP num_A, num_B, c1, c) &
|
||||
!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
|
||||
!$OMP ao_power, ao_nucl, nucl_coord, &
|
||||
!$OMP ao_coef_normalized_ordered_transp, &
|
||||
!$OMP nucl_num, j1b_pen, j1b_gauss_nonherm, &
|
||||
!$OMP j1b_coeff)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do j = 1, ao_num
|
||||
num_A = ao_nucl(j)
|
||||
power_A(1:3) = ao_power(j,1:3)
|
||||
A_center(1:3) = nucl_coord(num_A,1:3)
|
||||
|
||||
do i = 1, ao_num
|
||||
num_B = ao_nucl(i)
|
||||
power_B(1:3) = ao_power(i,1:3)
|
||||
B_center(1:3) = nucl_coord(num_B,1:3)
|
||||
|
||||
do l = 1, ao_prim_num(j)
|
||||
alpha = ao_expo_ordered_transp(l,j)
|
||||
|
||||
do m = 1, ao_prim_num(i)
|
||||
beta = ao_expo_ordered_transp(m,i)
|
||||
|
||||
c = 0.d0
|
||||
do k = 1, nucl_num
|
||||
gama = j1b_pen (k)
|
||||
coef = j1b_coeff(k)
|
||||
C_center(1:3) = nucl_coord(k,1:3)
|
||||
|
||||
! \langle \chi_A | exp[-gama r_C^2] r_C \cdot grad | \chi_B \rangle
|
||||
c1 = int_gauss_deriv( A_center, B_center, C_center &
|
||||
, power_A, power_B, alpha, beta, gama )
|
||||
|
||||
c = c + 2.d0 * gama * coef * c1
|
||||
enddo
|
||||
|
||||
j1b_gauss_nonherm(i,j) = j1b_gauss_nonherm(i,j) &
|
||||
+ ao_coef_normalized_ordered_transp(l,j) &
|
||||
* ao_coef_normalized_ordered_transp(m,i) * c
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
|
||||
@ -317,3 +367,5 @@ double precision function int_gauss_deriv(A_center, B_center, C_center, power_A,
|
||||
end function int_gauss_deriv
|
||||
!_____________________________________________________________________________________________________________
|
||||
!_____________________________________________________________________________________________________________
|
||||
|
||||
|
||||
|
@ -94,30 +94,40 @@ BEGIN_PROVIDER [double precision, expos_slat_gauss_1_erf_x, (n_fit_1_erf_x)]
|
||||
expos_slat_gauss_1_erf_x(2) = 0.756023d0
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, expo_gauss_1_erf_x, (n_max_fit_slat)]
|
||||
&BEGIN_PROVIDER [double precision, coef_gauss_1_erf_x, (n_max_fit_slat)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! (1 - erf(mu*x)) = \sum_i coef_gauss_1_erf_x(i) * exp(-expo_gauss_1_erf_x(i) * x^2)
|
||||
!
|
||||
! This is based on a fit of (1 - erf(mu*x)) by exp(-alpha * x) exp(-beta*mu^2x^2)
|
||||
!
|
||||
! and the slater function exp(-alpha * x) is fitted with n_max_fit_slat gaussians
|
||||
!
|
||||
! See Appendix 2 of JCP 154, 084119 (2021)
|
||||
!
|
||||
! (1 - erf(mu*x)) = \sum_i coef_gauss_1_erf_x(i) * exp(-expo_gauss_1_erf_x(i) * x^2)
|
||||
!
|
||||
! This is based on a fit of (1 - erf(mu*x)) by exp(-alpha * x) exp(-beta*mu^2x^2)
|
||||
!
|
||||
! and the slater function exp(-alpha * x) is fitted with n_max_fit_slat gaussians
|
||||
!
|
||||
! See Appendix 2 of JCP 154, 084119 (2021)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i
|
||||
double precision :: expos(n_max_fit_slat),alpha,beta
|
||||
double precision :: expos(n_max_fit_slat), alpha, beta
|
||||
|
||||
alpha = expos_slat_gauss_1_erf_x(1) * mu_erf
|
||||
call expo_fit_slater_gam(alpha,expos)
|
||||
beta = expos_slat_gauss_1_erf_x(2) * mu_erf**2.d0
|
||||
call expo_fit_slater_gam(alpha, expos)
|
||||
beta = expos_slat_gauss_1_erf_x(2) * mu_erf * mu_erf
|
||||
|
||||
do i = 1, n_max_fit_slat
|
||||
expo_gauss_1_erf_x(i) = expos(i) + beta
|
||||
coef_gauss_1_erf_x(i) = coef_fit_slat_gauss(i)
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
double precision function fit_1_erf_x(x)
|
||||
implicit none
|
||||
double precision, intent(in) :: x
|
||||
|
@ -1,800 +0,0 @@
|
||||
double precision function j1b_gauss_coul(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ 0.5 / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ 1 / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s, ii
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: p_inv, q_inv
|
||||
double precision :: P_new_tmp(0:max_dim,3), P_center_tmp(3), fact_p_tmp, pp_tmp
|
||||
double precision :: Q_new_tmp(0:max_dim,3), Q_center_tmp(3), fact_q_tmp, qq_tmp
|
||||
double precision :: P_new(0:max_dim,3), P_center(3), fact_p, pp
|
||||
double precision :: Q_new(0:max_dim,3), Q_center(3), fact_q, qq
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: expoii, factii, Centerii(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: general_primitive_integral_coul_shifted
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul = 0.d0
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ 1 / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
! pol centerd on P_center_tmp ==> centerd on P_center
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
|
||||
shift_P = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
ff = P_center(2) - Centerii(2)
|
||||
|
||||
shift_P = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
ff = P_center(3) - Centerii(3)
|
||||
|
||||
shift_P = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul = j1b_gauss_coul + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ 1 / r12 ] \sum_A a_A [ (r2-RA)^2 exp(-aA r2A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
|
||||
fact_q = fact_q_tmp * factii
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
! pol centerd on Q_center_tmp ==> centerd on Q_center
|
||||
call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
ff = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_Q = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
ff = Q_center(2) - Centerii(2)
|
||||
|
||||
shift_Q = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
ff = Q_center(3) - Centerii(3)
|
||||
|
||||
shift_Q = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul = j1b_gauss_coul + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! - [ 1 / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r1A^2) ]
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
! pol centerd on P_center_tmp ==> centerd on P_center
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
gg = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
ff = P_center(2) - Centerii(2)
|
||||
gg = Q_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
ff = P_center(3) - Centerii(3)
|
||||
gg = Q_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul = j1b_gauss_coul - coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! - [ 1 / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
|
||||
fact_q = fact_q_tmp * factii
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
! pol centerd on Q_center_tmp ==> centerd on Q_center
|
||||
call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
gg = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
ff = P_center(2) - Centerii(2)
|
||||
gg = Q_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
ff = P_center(3) - Centerii(3)
|
||||
gg = Q_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul = j1b_gauss_coul - coef4 * ( cx + cy + cz )
|
||||
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
return
|
||||
end function j1b_gauss_coul
|
||||
|
||||
|
||||
|
||||
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
||||
|
||||
double precision function general_primitive_integral_coul_shifted( dim &
|
||||
, P_new, P_center, fact_p, p, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, q, q_inv, iorder_q, shift_Q )
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: dim
|
||||
integer, intent(in) :: iorder_p(3), shift_P(3)
|
||||
integer, intent(in) :: iorder_q(3), shift_Q(3)
|
||||
double precision, intent(in) :: P_new(0:max_dim,3), P_center(3), fact_p, p, p_inv
|
||||
double precision, intent(in) :: Q_new(0:max_dim,3), Q_center(3), fact_q, q, q_inv
|
||||
|
||||
integer :: n_Ix, n_Iy, n_Iz, nx, ny, nz
|
||||
integer :: ix, iy, iz, jx, jy, jz, i
|
||||
integer :: n_pt_tmp, n_pt_out, iorder
|
||||
integer :: ii, jj
|
||||
double precision :: rho, dist
|
||||
double precision :: dx(0:max_dim), Ix_pol(0:max_dim)
|
||||
double precision :: dy(0:max_dim), Iy_pol(0:max_dim)
|
||||
double precision :: dz(0:max_dim), Iz_pol(0:max_dim)
|
||||
double precision :: a, b, c, d, e, f, accu, pq, const
|
||||
double precision :: pq_inv, p10_1, p10_2, p01_1, p01_2, pq_inv_2
|
||||
double precision :: d1(0:max_dim), d_poly(0:max_dim)
|
||||
double precision :: p_plus_q
|
||||
|
||||
double precision :: rint_sum
|
||||
|
||||
general_primitive_integral_coul_shifted = 0.d0
|
||||
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: dx, Ix_pol, dy, Iy_pol, dz, Iz_pol
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: d1, d_poly
|
||||
|
||||
! Gaussian Product
|
||||
! ----------------
|
||||
p_plus_q = (p+q)
|
||||
pq = p_inv * 0.5d0 * q_inv
|
||||
pq_inv = 0.5d0 / p_plus_q
|
||||
p10_1 = q * pq ! 1/(2p)
|
||||
p01_1 = p * pq ! 1/(2q)
|
||||
pq_inv_2 = pq_inv + pq_inv
|
||||
p10_2 = pq_inv_2 * p10_1 * q ! 0.5d0 * q / (pq + p*p)
|
||||
p01_2 = pq_inv_2 * p01_1 * p ! 0.5d0 * p / (q*q + pq)
|
||||
|
||||
accu = 0.d0
|
||||
|
||||
iorder = iorder_p(1) + iorder_q(1) + iorder_p(1) + iorder_q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Ix_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Ix = 0
|
||||
do ix = 0, iorder_p(1)
|
||||
|
||||
ii = ix + shift_P(1)
|
||||
a = P_new(ix,1)
|
||||
if(abs(a) < thresh) cycle
|
||||
|
||||
do jx = 0, iorder_q(1)
|
||||
|
||||
jj = jx + shift_Q(1)
|
||||
d = a * Q_new(jx,1)
|
||||
if(abs(d) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(1), Q_center(1), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dx, nx )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dx, nx, d, Ix_pol, n_Ix)
|
||||
enddo
|
||||
enddo
|
||||
if(n_Ix == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(2) + iorder_q(2) + iorder_p(2) + iorder_q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Iy_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iy = 0
|
||||
do iy = 0, iorder_p(2)
|
||||
|
||||
if(abs(P_new(iy,2)) > thresh) then
|
||||
|
||||
ii = iy + shift_P(2)
|
||||
b = P_new(iy,2)
|
||||
|
||||
do jy = 0, iorder_q(2)
|
||||
|
||||
jj = jy + shift_Q(2)
|
||||
e = b * Q_new(jy,2)
|
||||
if(abs(e) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(2), Q_center(2), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dy, ny )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dy, ny, e, Iy_pol, n_Iy)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iy == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(3) + iorder_q(3) + iorder_p(3) + iorder_q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
do ix = 0, iorder
|
||||
Iz_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iz = 0
|
||||
do iz = 0, iorder_p(3)
|
||||
|
||||
if( abs(P_new(iz,3)) > thresh ) then
|
||||
|
||||
ii = iz + shift_P(3)
|
||||
c = P_new(iz,3)
|
||||
|
||||
do jz = 0, iorder_q(3)
|
||||
|
||||
jj = jz + shift_Q(3)
|
||||
f = c * Q_new(jz,3)
|
||||
if(abs(f) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(3), Q_center(3), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dz, nz )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dz, nz, f, Iz_pol, n_Iz)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iz == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
rho = p * q * pq_inv_2
|
||||
dist = (P_center(1) - Q_center(1)) * (P_center(1) - Q_center(1)) &
|
||||
+ (P_center(2) - Q_center(2)) * (P_center(2) - Q_center(2)) &
|
||||
+ (P_center(3) - Q_center(3)) * (P_center(3) - Q_center(3))
|
||||
const = dist*rho
|
||||
|
||||
n_pt_tmp = n_Ix + n_Iy
|
||||
do i = 0, n_pt_tmp
|
||||
d_poly(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(Ix_pol, n_Ix, Iy_pol, n_Iy, d_poly, n_pt_tmp)
|
||||
if(n_pt_tmp == -1) then
|
||||
return
|
||||
endif
|
||||
n_pt_out = n_pt_tmp + n_Iz
|
||||
do i = 0, n_pt_out
|
||||
d1(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(d_poly, n_pt_tmp, Iz_pol, n_Iz, d1, n_pt_out)
|
||||
accu = accu + rint_sum(n_pt_out, const, d1)
|
||||
|
||||
general_primitive_integral_coul_shifted = fact_p * fact_q * accu * pi_5_2 * p_inv * q_inv / dsqrt(p_plus_q)
|
||||
|
||||
return
|
||||
end function general_primitive_integral_coul_shifted
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
@ -1,433 +0,0 @@
|
||||
double precision function j1b_gauss_coul_acc(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ 0.5 / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ 1 / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s, ii
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: p1_inv, q1_inv, p2_inv, q2_inv
|
||||
double precision :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1
|
||||
double precision :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2
|
||||
double precision :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1
|
||||
double precision :: Q2_new(0:max_dim,3), Q2_center(3), fact_q2, qq2
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: expoii, factii, Centerii(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: general_primitive_integral_coul_shifted
|
||||
!double precision :: j1b_gauss_coul_schwartz_accel
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
! TODO
|
||||
!if( ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024 ) then
|
||||
! j1b_gauss_coul_schwartz_accel = j1b_gauss_coul_schwartz_accel(i, j, k, l)
|
||||
! return
|
||||
!endif
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_acc = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P1_new, P1_center, pp1, fact_p1, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp1, P1_center, expoii, Centerii, factii, pp2, P2_center)
|
||||
fact_p2 = fact_p1 * factii
|
||||
p2_inv = 1.d0 / pp2
|
||||
call pol_modif_center( P1_center, P2_center, iorder_p, P1_new, P2_new)
|
||||
|
||||
call gaussian_product(qq1, Q1_center, expoii, Centerii, factii, qq2, Q2_center)
|
||||
fact_q2 = fact_q1 * factii
|
||||
q2_inv = 1.d0 / qq2
|
||||
call pol_modif_center( Q1_center, Q2_center, iorder_q, Q1_new, Q2_new)
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! [ 1 / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
! x term:
|
||||
ff = P2_center(1) - Centerii(1)
|
||||
|
||||
shift_P = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P2_center(2) - Centerii(2)
|
||||
|
||||
shift_P = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P2_center(3) - Centerii(3)
|
||||
|
||||
shift_P = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! [ 1 / r12 ] \sum_A a_A [ (r2-RA)^2 exp(-aA r2A^2)
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
|
||||
! x term:
|
||||
ff = Q2_center(1) - Centerii(1)
|
||||
|
||||
shift_Q = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = Q2_center(2) - Centerii(2)
|
||||
|
||||
shift_Q = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = Q2_center(3) - Centerii(3)
|
||||
|
||||
shift_Q = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! - [ 1 / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r1A^2) ]
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! x term:
|
||||
ff = P2_center(1) - Centerii(1)
|
||||
gg = Q1_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P2_center(2) - Centerii(2)
|
||||
gg = Q1_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P2_center(3) - Centerii(3)
|
||||
gg = Q1_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! - [ 1 / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! x term:
|
||||
ff = P1_center(1) - Centerii(1)
|
||||
gg = Q2_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P1_center(2) - Centerii(2)
|
||||
gg = Q2_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P1_center(3) - Centerii(3)
|
||||
gg = Q2_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_acc = j1b_gauss_coul_acc + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
return
|
||||
end function j1b_gauss_coul_acc
|
@ -1,397 +0,0 @@
|
||||
double precision function j1b_gauss_coul_debug(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ 0.5 / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ 1 / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s, ii
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: p_inv, q_inv
|
||||
double precision :: P_new_tmp(0:max_dim,3), P_center_tmp(3), fact_p_tmp, pp_tmp
|
||||
double precision :: Q_new_tmp(0:max_dim,3), Q_center_tmp(3), fact_q_tmp, qq_tmp
|
||||
double precision :: P_new(0:max_dim,3), P_center(3), fact_p, pp
|
||||
double precision :: Q_new(0:max_dim,3), Q_center(3), fact_q, qq
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: expoii, factii, Centerii(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: general_primitive_integral_coul_shifted
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_debug = 0.d0
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ 1 / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
! pol centerd on P_center_tmp ==> centerd on P_center
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
|
||||
shift_P = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_debug = j1b_gauss_coul_debug + coef4 * cx
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
! !
|
||||
! ! [ 1 / r12 ] \sum_A a_A [ (r2-RA)^2 exp(-aA r2A^2)
|
||||
! !
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! shift_P = (/ 0, 0, 0 /)
|
||||
!
|
||||
! do p = 1, ao_prim_num(i)
|
||||
! coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
! expo1 = ao_expo_ordered_transp(p, i)
|
||||
!
|
||||
! do q = 1, ao_prim_num(j)
|
||||
! coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
! expo2 = ao_expo_ordered_transp(q, j)
|
||||
!
|
||||
! call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
! , I_power, J_power, I_center, J_center, dim1 )
|
||||
! p_inv = 1.d0 / pp
|
||||
!
|
||||
! do r = 1, ao_prim_num(k)
|
||||
! coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
! expo3 = ao_expo_ordered_transp(r, k)
|
||||
!
|
||||
! do s = 1, ao_prim_num(l)
|
||||
! coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
! expo4 = ao_expo_ordered_transp(s, l)
|
||||
!
|
||||
! call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
! , K_power, L_power, K_center, L_center, dim1 )
|
||||
!
|
||||
! cx = 0.d0
|
||||
! do ii = 1, nucl_num
|
||||
! expoii = j1b_gauss_pen(ii)
|
||||
! Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
!
|
||||
! call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
!
|
||||
! fact_q = fact_q_tmp * factii
|
||||
! q_inv = 1.d0 / qq
|
||||
!
|
||||
! ! pol centerd on Q_center_tmp ==> centerd on Q_center
|
||||
! call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
!
|
||||
! ! ----------------------------------------------------------------------------------------------------
|
||||
! ! x term:
|
||||
!
|
||||
! ff = Q_center(1) - Centerii(1)
|
||||
!
|
||||
! shift_Q = (/ 2, 0, 0 /)
|
||||
! cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! shift_Q = (/ 1, 0, 0 /)
|
||||
! cx = cx + expoii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! shift_Q = (/ 0, 0, 0 /)
|
||||
! cx = cx + expoii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! ! ----------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! enddo
|
||||
!
|
||||
! j1b_gauss_coul_debug = j1b_gauss_coul_debug + coef4 * cx
|
||||
! enddo ! s
|
||||
! enddo ! r
|
||||
! enddo ! q
|
||||
! enddo ! p
|
||||
!
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! - [ 1 / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r1A^2) ]
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
! pol centerd on P_center_tmp ==> centerd on P_center
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
gg = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_debug = j1b_gauss_coul_debug - coef4 * cx
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
! !
|
||||
! ! - [ 1 / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
! !
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! do p = 1, ao_prim_num(i)
|
||||
! coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
! expo1 = ao_expo_ordered_transp(p, i)
|
||||
!
|
||||
! do q = 1, ao_prim_num(j)
|
||||
! coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
! expo2 = ao_expo_ordered_transp(q, j)
|
||||
!
|
||||
! call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
! , I_power, J_power, I_center, J_center, dim1 )
|
||||
! p_inv = 1.d0 / pp
|
||||
!
|
||||
! do r = 1, ao_prim_num(k)
|
||||
! coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
! expo3 = ao_expo_ordered_transp(r, k)
|
||||
!
|
||||
! do s = 1, ao_prim_num(l)
|
||||
! coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
! expo4 = ao_expo_ordered_transp(s, l)
|
||||
!
|
||||
! call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
! , K_power, L_power, K_center, L_center, dim1 )
|
||||
!
|
||||
! cx = 0.d0
|
||||
! do ii = 1, nucl_num
|
||||
! expoii = j1b_gauss_pen(ii)
|
||||
! Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
!
|
||||
! call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
!
|
||||
! fact_q = fact_q_tmp * factii
|
||||
! q_inv = 1.d0 / qq
|
||||
!
|
||||
! ! pol centerd on Q_center_tmp ==> centerd on Q_center
|
||||
! call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
!
|
||||
! ! ----------------------------------------------------------------------------------------------------
|
||||
! ! x term:
|
||||
!
|
||||
! ff = P_center(1) - Centerii(1)
|
||||
! gg = Q_center(1) - Centerii(1)
|
||||
!
|
||||
! shift_P = (/ 1, 0, 0 /)
|
||||
! shift_Q = (/ 1, 0, 0 /)
|
||||
! cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! shift_P = (/ 1, 0, 0 /)
|
||||
! shift_Q = (/ 0, 0, 0 /)
|
||||
! cx = cx + expoii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! shift_P = (/ 0, 0, 0 /)
|
||||
! shift_Q = (/ 1, 0, 0 /)
|
||||
! cx = cx + expoii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! shift_P = (/ 0, 0, 0 /)
|
||||
! shift_Q = (/ 0, 0, 0 /)
|
||||
! cx = cx + expoii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
! , P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
! , Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
!
|
||||
! ! ----------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! enddo
|
||||
!
|
||||
! j1b_gauss_coul_debug = j1b_gauss_coul_debug - coef4 * cx
|
||||
!
|
||||
! enddo ! s
|
||||
! enddo ! r
|
||||
! enddo ! q
|
||||
! enddo ! p
|
||||
!
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
! ! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
return
|
||||
end function j1b_gauss_coul_debug
|
||||
|
@ -1,324 +0,0 @@
|
||||
double precision function j1b_gauss_coul_modifdebug(i, j, k, l)
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s, ii
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: p_inv, q_inv
|
||||
double precision :: P_new_tmp(0:max_dim,3), P_center_tmp(3), fact_p_tmp, pp_tmp
|
||||
double precision :: Q_new_tmp(0:max_dim,3), Q_center_tmp(3), fact_q_tmp, qq_tmp
|
||||
double precision :: P_new(0:max_dim,3), P_center(3), fact_p, pp
|
||||
double precision :: Q_new(0:max_dim,3), Q_center(3), fact_q, qq
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: expoii, factii, Centerii(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: general_primitive_integral_coul
|
||||
double precision :: general_primitive_integral_coul_shifted
|
||||
double precision :: ao_two_e_integral
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_modifdebug = 0.d0
|
||||
|
||||
! do ii = 1, nucl_num
|
||||
! expoii = j1b_gauss_pen(ii)
|
||||
! j1b_gauss_coul_modifdebug += expoii * ao_two_e_integral(i, j, k, l)
|
||||
! enddo
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ 1 / r12 ] \sum_A a_A exp(-aA r1A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
P_new(:,:) = 0.d0
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_modifdebug = j1b_gauss_coul_modifdebug + coef4 * cx
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ 1 / r12 ] \sum_A a_A exp(-aA r2A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
|
||||
cx = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
fact_q = fact_q_tmp * factii
|
||||
Q_inv = 1.d0 / qq
|
||||
call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
cx = cx + expoii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_coul_modifdebug = j1b_gauss_coul_modifdebug + coef4 * cx
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
return
|
||||
end function j1b_gauss_coul_modifdebug
|
||||
|
||||
|
||||
|
||||
|
||||
double precision function general_primitive_integral_coul(dim, &
|
||||
P_new,P_center,fact_p,p,p_inv,iorder_p, &
|
||||
Q_new,Q_center,fact_q,q,q_inv,iorder_q)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! Computes the integral <pq|rs> where p,q,r,s are Gaussian primitives
|
||||
END_DOC
|
||||
integer,intent(in) :: dim
|
||||
include 'utils/constants.include.F'
|
||||
double precision, intent(in) :: P_new(0:max_dim,3),P_center(3),fact_p,p,p_inv
|
||||
double precision, intent(in) :: Q_new(0:max_dim,3),Q_center(3),fact_q,q,q_inv
|
||||
integer, intent(in) :: iorder_p(3)
|
||||
integer, intent(in) :: iorder_q(3)
|
||||
|
||||
double precision :: r_cut,gama_r_cut,rho,dist
|
||||
double precision :: dx(0:max_dim),Ix_pol(0:max_dim),dy(0:max_dim),Iy_pol(0:max_dim),dz(0:max_dim),Iz_pol(0:max_dim)
|
||||
integer :: n_Ix,n_Iy,n_Iz,nx,ny,nz
|
||||
double precision :: bla
|
||||
integer :: ix,iy,iz,jx,jy,jz,i
|
||||
double precision :: a,b,c,d,e,f,accu,pq,const
|
||||
double precision :: pq_inv, p10_1, p10_2, p01_1, p01_2,pq_inv_2
|
||||
integer :: n_pt_tmp,n_pt_out, iorder
|
||||
double precision :: d1(0:max_dim),d_poly(0:max_dim),rint,d1_screened(0:max_dim)
|
||||
|
||||
general_primitive_integral_coul = 0.d0
|
||||
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: dx,Ix_pol,dy,Iy_pol,dz,Iz_pol
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: d1, d_poly
|
||||
|
||||
! Gaussian Product
|
||||
! ----------------
|
||||
|
||||
pq = p_inv*0.5d0*q_inv
|
||||
pq_inv = 0.5d0/(p+q)
|
||||
p10_1 = q*pq ! 1/(2p)
|
||||
p01_1 = p*pq ! 1/(2q)
|
||||
pq_inv_2 = pq_inv+pq_inv
|
||||
p10_2 = pq_inv_2 * p10_1*q !0.5d0*q/(pq + p*p)
|
||||
p01_2 = pq_inv_2 * p01_1*p !0.5d0*p/(q*q + pq)
|
||||
|
||||
|
||||
accu = 0.d0
|
||||
iorder = iorder_p(1)+iorder_q(1)+iorder_p(1)+iorder_q(1)
|
||||
do ix=0,iorder
|
||||
Ix_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Ix = 0
|
||||
do ix = 0, iorder_p(1)
|
||||
if (abs(P_new(ix,1)) < thresh) cycle
|
||||
a = P_new(ix,1)
|
||||
do jx = 0, iorder_q(1)
|
||||
d = a*Q_new(jx,1)
|
||||
if (abs(d) < thresh) cycle
|
||||
!DIR$ FORCEINLINE
|
||||
call give_polynom_mult_center_x(P_center(1),Q_center(1),ix,jx,p,q,iorder,pq_inv,pq_inv_2,p10_1,p01_1,p10_2,p01_2,dx,nx)
|
||||
!DIR$ FORCEINLINE
|
||||
call add_poly_multiply(dx,nx,d,Ix_pol,n_Ix)
|
||||
enddo
|
||||
enddo
|
||||
if (n_Ix == -1) then
|
||||
return
|
||||
endif
|
||||
iorder = iorder_p(2)+iorder_q(2)+iorder_p(2)+iorder_q(2)
|
||||
do ix=0, iorder
|
||||
Iy_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iy = 0
|
||||
do iy = 0, iorder_p(2)
|
||||
if (abs(P_new(iy,2)) > thresh) then
|
||||
b = P_new(iy,2)
|
||||
do jy = 0, iorder_q(2)
|
||||
e = b*Q_new(jy,2)
|
||||
if (abs(e) < thresh) cycle
|
||||
!DIR$ FORCEINLINE
|
||||
call give_polynom_mult_center_x(P_center(2),Q_center(2),iy,jy,p,q,iorder,pq_inv,pq_inv_2,p10_1,p01_1,p10_2,p01_2,dy,ny)
|
||||
!DIR$ FORCEINLINE
|
||||
call add_poly_multiply(dy,ny,e,Iy_pol,n_Iy)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if (n_Iy == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(3)+iorder_q(3)+iorder_p(3)+iorder_q(3)
|
||||
do ix=0,iorder
|
||||
Iz_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iz = 0
|
||||
do iz = 0, iorder_p(3)
|
||||
if (abs(P_new(iz,3)) > thresh) then
|
||||
c = P_new(iz,3)
|
||||
do jz = 0, iorder_q(3)
|
||||
f = c*Q_new(jz,3)
|
||||
if (abs(f) < thresh) cycle
|
||||
!DIR$ FORCEINLINE
|
||||
call give_polynom_mult_center_x(P_center(3),Q_center(3),iz,jz,p,q,iorder,pq_inv,pq_inv_2,p10_1,p01_1,p10_2,p01_2,dz,nz)
|
||||
!DIR$ FORCEINLINE
|
||||
call add_poly_multiply(dz,nz,f,Iz_pol,n_Iz)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if (n_Iz == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
rho = p*q *pq_inv_2
|
||||
dist = (P_center(1) - Q_center(1))*(P_center(1) - Q_center(1)) + &
|
||||
(P_center(2) - Q_center(2))*(P_center(2) - Q_center(2)) + &
|
||||
(P_center(3) - Q_center(3))*(P_center(3) - Q_center(3))
|
||||
const = dist*rho
|
||||
|
||||
n_pt_tmp = n_Ix+n_Iy
|
||||
do i=0,n_pt_tmp
|
||||
d_poly(i)=0.d0
|
||||
enddo
|
||||
|
||||
!DIR$ FORCEINLINE
|
||||
call multiply_poly(Ix_pol,n_Ix,Iy_pol,n_Iy,d_poly,n_pt_tmp)
|
||||
if (n_pt_tmp == -1) then
|
||||
return
|
||||
endif
|
||||
n_pt_out = n_pt_tmp+n_Iz
|
||||
do i=0,n_pt_out
|
||||
d1(i)=0.d0
|
||||
enddo
|
||||
|
||||
!DIR$ FORCEINLINE
|
||||
call multiply_poly(d_poly ,n_pt_tmp ,Iz_pol,n_Iz,d1,n_pt_out)
|
||||
double precision :: rint_sum
|
||||
accu = accu + rint_sum(n_pt_out,const,d1)
|
||||
|
||||
general_primitive_integral_coul = fact_p * fact_q * accu *pi_5_2*p_inv*q_inv/dsqrt(p+q)
|
||||
end function general_primitive_integral_coul
|
@ -1,102 +0,0 @@
|
||||
double precision function j1b_gauss_coulerf(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ (0.5 - 0.5 erf(mu r12)) / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ (1 - erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
|
||||
double precision :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: j1b_gauss_coulerf_schwartz
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
if( ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024 ) then
|
||||
j1b_gauss_coulerf = j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
return
|
||||
endif
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_coulerf = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P1_new, P1_center, pp1, fact_p1, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
j1b_gauss_coulerf = j1b_gauss_coulerf + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
return
|
||||
end function j1b_gauss_coulerf
|
||||
|
@ -1,854 +0,0 @@
|
||||
double precision function j1b_gauss_erf(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ -0.5 erf(mu r12) / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = - [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s, ii
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: p_inv, q_inv
|
||||
double precision :: P_new_tmp(0:max_dim,3), P_center_tmp(3), fact_p_tmp, pp_tmp
|
||||
double precision :: Q_new_tmp(0:max_dim,3), Q_center_tmp(3), fact_q_tmp, qq_tmp
|
||||
double precision :: P_new(0:max_dim,3), P_center(3), fact_p, pp
|
||||
double precision :: Q_new(0:max_dim,3), Q_center(3), fact_q, qq
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: expoii, factii, Centerii(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: general_primitive_integral_erf_shifted
|
||||
|
||||
PROVIDE mu_erf
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf = 0.d0
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! - [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_Q(1) = 0
|
||||
shift_Q(2) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
! pol centerd on P_center_tmp ==> centerd on P_center
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_P(3) = 0
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
|
||||
shift_P(1) = 2
|
||||
cx = cx + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 1
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 0
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(3) = 0
|
||||
|
||||
ff = P_center(2) - Centerii(2)
|
||||
|
||||
shift_P(2) = 2
|
||||
cy = cy + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 1
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 0
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(2) = 0
|
||||
|
||||
ff = P_center(3) - Centerii(3)
|
||||
|
||||
shift_P(3) = 2
|
||||
cz = cz + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 1
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 0
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf = j1b_gauss_erf - coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! - [ erf(mu r12) / r12 ] \sum_A a_A [ (r2-RA)^2 exp(-aA r2A^2)
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(2) = 0
|
||||
shift_P(3) = 0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
|
||||
fact_q = fact_q_tmp * factii
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
! pol centerd on Q_center_tmp ==> centerd on Q_center
|
||||
call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
shift_Q(2) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
ff = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_Q(1) = 2
|
||||
cx = cx + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q(1) = 1
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q(1) = 0
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
shift_Q(1) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
ff = Q_center(2) - Centerii(2)
|
||||
|
||||
shift_Q(2) = 2
|
||||
cy = cy + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q(2) = 1
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q(2) = 0
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
shift_Q(1) = 0
|
||||
shift_Q(2) = 0
|
||||
|
||||
ff = Q_center(3) - Centerii(3)
|
||||
|
||||
shift_Q(3) = 2
|
||||
cz = cz + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q(3) = 1
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q(3) = 0
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf = j1b_gauss_erf - coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r1A^2) ]
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new_tmp, P_center_tmp, pp_tmp, fact_p_tmp, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new, Q_center, qq, fact_q, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp_tmp, P_center_tmp, expoii, Centerii, factii, pp, P_center)
|
||||
|
||||
fact_p = fact_p_tmp * factii
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
! pol centerd on P_center_tmp ==> centerd on P_center
|
||||
call pol_modif_center( P_center_tmp, P_center, iorder_p, P_new_tmp, P_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_P(3) = 0
|
||||
shift_Q(2) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
gg = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_P(1) = 1
|
||||
shift_Q(1) = 1
|
||||
cx = cx + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 1
|
||||
shift_Q(1) = 0
|
||||
cx = cx + expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_Q(1) = 1
|
||||
cx = cx + expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_Q(1) = 0
|
||||
cx = cx + expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(3) = 0
|
||||
shift_Q(1) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
ff = P_center(2) - Centerii(2)
|
||||
gg = Q_center(2) - Centerii(2)
|
||||
|
||||
shift_P(2) = 1
|
||||
shift_Q(2) = 1
|
||||
cy = cy + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 1
|
||||
shift_Q(2) = 0
|
||||
cy = cy + expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_Q(2) = 1
|
||||
cy = cy + expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_Q(2) = 0
|
||||
cy = cy + expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(2) = 0
|
||||
shift_Q(1) = 0
|
||||
shift_Q(2) = 0
|
||||
|
||||
ff = P_center(3) - Centerii(3)
|
||||
gg = Q_center(3) - Centerii(3)
|
||||
|
||||
shift_P(3) = 1
|
||||
shift_Q(3) = 1
|
||||
cz = cz + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 1
|
||||
shift_Q(3) = 0
|
||||
cz = cz + expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 0
|
||||
shift_Q(3) = 1
|
||||
cz = cz + expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 0
|
||||
shift_Q(3) = 0
|
||||
cz = cz + expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf = j1b_gauss_erf + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
!
|
||||
! [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P_new, P_center, pp, fact_p, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p_inv = 1.d0 / pp
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q_new_tmp, Q_center_tmp, qq_tmp, fact_q_tmp, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(qq_tmp, Q_center_tmp, expoii, Centerii, factii, qq, Q_center)
|
||||
|
||||
fact_q = fact_q_tmp * factii
|
||||
q_inv = 1.d0 / qq
|
||||
|
||||
! pol centerd on Q_center_tmp ==> centerd on Q_center
|
||||
call pol_modif_center( Q_center_tmp, Q_center, iorder_q, Q_new_tmp, Q_new)
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! x term:
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_P(3) = 0
|
||||
shift_Q(2) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
ff = P_center(1) - Centerii(1)
|
||||
gg = Q_center(1) - Centerii(1)
|
||||
|
||||
shift_P(1) = 1
|
||||
shift_Q(1) = 1
|
||||
cx = cx + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 1
|
||||
shift_Q(1) = 0
|
||||
cx = cx + expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_Q(1) = 1
|
||||
cx = cx + expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_Q(1) = 0
|
||||
cx = cx + expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! y term:
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(3) = 0
|
||||
shift_Q(1) = 0
|
||||
shift_Q(3) = 0
|
||||
|
||||
ff = P_center(2) - Centerii(2)
|
||||
gg = Q_center(2) - Centerii(2)
|
||||
|
||||
shift_P(2) = 1
|
||||
shift_Q(2) = 1
|
||||
cy = cy + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 1
|
||||
shift_Q(2) = 0
|
||||
cy = cy + expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_Q(2) = 1
|
||||
cy = cy + expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(2) = 0
|
||||
shift_Q(2) = 0
|
||||
cy = cy + expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! z term:
|
||||
|
||||
shift_P(1) = 0
|
||||
shift_P(2) = 0
|
||||
shift_Q(1) = 0
|
||||
shift_Q(2) = 0
|
||||
|
||||
ff = P_center(3) - Centerii(3)
|
||||
gg = Q_center(3) - Centerii(3)
|
||||
|
||||
shift_P(3) = 1
|
||||
shift_Q(3) = 1
|
||||
cz = cz + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 1
|
||||
shift_Q(3) = 0
|
||||
cz = cz + expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 0
|
||||
shift_Q(3) = 1
|
||||
cz = cz + expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P(3) = 0
|
||||
shift_Q(3) = 0
|
||||
cz = cz + expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P_new, P_center, fact_p, pp, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, qq, q_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf = j1b_gauss_erf + coef4 * ( cx + cy + cz )
|
||||
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
! -------------------------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
return
|
||||
end function j1b_gauss_erf
|
||||
|
||||
|
||||
|
||||
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
||||
|
||||
double precision function general_primitive_integral_erf_shifted( dim &
|
||||
, P_new, P_center, fact_p, p, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, q, q_inv, iorder_q, shift_Q )
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: dim
|
||||
integer, intent(in) :: iorder_p(3), shift_P(3)
|
||||
integer, intent(in) :: iorder_q(3), shift_Q(3)
|
||||
double precision, intent(in) :: P_new(0:max_dim,3), P_center(3), fact_p, p, p_inv
|
||||
double precision, intent(in) :: Q_new(0:max_dim,3), Q_center(3), fact_q, q, q_inv
|
||||
|
||||
integer :: n_Ix, n_Iy, n_Iz, nx, ny, nz
|
||||
integer :: ix, iy, iz, jx, jy, jz, i
|
||||
integer :: n_pt_tmp, n_pt_out, iorder
|
||||
integer :: ii, jj
|
||||
double precision :: rho, dist
|
||||
double precision :: dx(0:max_dim), Ix_pol(0:max_dim)
|
||||
double precision :: dy(0:max_dim), Iy_pol(0:max_dim)
|
||||
double precision :: dz(0:max_dim), Iz_pol(0:max_dim)
|
||||
double precision :: a, b, c, d, e, f, accu, pq, const
|
||||
double precision :: pq_inv, p10_1, p10_2, p01_1, p01_2, pq_inv_2
|
||||
double precision :: d1(0:max_dim), d_poly(0:max_dim)
|
||||
double precision :: p_plus_q
|
||||
|
||||
double precision :: rint_sum
|
||||
|
||||
general_primitive_integral_erf_shifted = 0.d0
|
||||
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: dx, Ix_pol, dy, Iy_pol, dz, Iz_pol
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: d1, d_poly
|
||||
|
||||
! Gaussian Product
|
||||
! ----------------
|
||||
p_plus_q = (p+q) * ( (p*q)/(p+q) + mu_erf*mu_erf ) / (mu_erf*mu_erf)
|
||||
pq = p_inv * 0.5d0 * q_inv
|
||||
pq_inv = 0.5d0 / p_plus_q
|
||||
p10_1 = q * pq ! 1/(2p)
|
||||
p01_1 = p * pq ! 1/(2q)
|
||||
pq_inv_2 = pq_inv + pq_inv
|
||||
p10_2 = pq_inv_2 * p10_1 * q ! 0.5d0 * q / (pq + p*p)
|
||||
p01_2 = pq_inv_2 * p01_1 * p ! 0.5d0 * p / (q*q + pq)
|
||||
|
||||
accu = 0.d0
|
||||
|
||||
iorder = iorder_p(1) + iorder_q(1) + iorder_p(1) + iorder_q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Ix_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Ix = 0
|
||||
do ix = 0, iorder_p(1)
|
||||
|
||||
ii = ix + shift_P(1)
|
||||
a = P_new(ix,1)
|
||||
if(abs(a) < thresh) cycle
|
||||
|
||||
do jx = 0, iorder_q(1)
|
||||
|
||||
jj = jx + shift_Q(1)
|
||||
d = a * Q_new(jx,1)
|
||||
if(abs(d) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(1), Q_center(1), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dx, nx )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dx, nx, d, Ix_pol, n_Ix)
|
||||
enddo
|
||||
enddo
|
||||
if(n_Ix == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(2) + iorder_q(2) + iorder_p(2) + iorder_q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Iy_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iy = 0
|
||||
do iy = 0, iorder_p(2)
|
||||
|
||||
if(abs(P_new(iy,2)) > thresh) then
|
||||
|
||||
ii = iy + shift_P(2)
|
||||
b = P_new(iy,2)
|
||||
|
||||
do jy = 0, iorder_q(2)
|
||||
|
||||
jj = jy + shift_Q(2)
|
||||
e = b * Q_new(jy,2)
|
||||
if(abs(e) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(2), Q_center(2), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dy, ny )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dy, ny, e, Iy_pol, n_Iy)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iy == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(3) + iorder_q(3) + iorder_p(3) + iorder_q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
do ix = 0, iorder
|
||||
Iz_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iz = 0
|
||||
do iz = 0, iorder_p(3)
|
||||
|
||||
if( abs(P_new(iz,3)) > thresh ) then
|
||||
|
||||
ii = iz + shift_P(3)
|
||||
c = P_new(iz,3)
|
||||
|
||||
do jz = 0, iorder_q(3)
|
||||
|
||||
jj = jz + shift_Q(3)
|
||||
f = c * Q_new(jz,3)
|
||||
if(abs(f) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(3), Q_center(3), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dz, nz )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dz, nz, f, Iz_pol, n_Iz)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iz == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
rho = p * q * pq_inv_2
|
||||
dist = (P_center(1) - Q_center(1)) * (P_center(1) - Q_center(1)) &
|
||||
+ (P_center(2) - Q_center(2)) * (P_center(2) - Q_center(2)) &
|
||||
+ (P_center(3) - Q_center(3)) * (P_center(3) - Q_center(3))
|
||||
const = dist*rho
|
||||
|
||||
n_pt_tmp = n_Ix + n_Iy
|
||||
do i = 0, n_pt_tmp
|
||||
d_poly(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(Ix_pol, n_Ix, Iy_pol, n_Iy, d_poly, n_pt_tmp)
|
||||
if(n_pt_tmp == -1) then
|
||||
return
|
||||
endif
|
||||
n_pt_out = n_pt_tmp + n_Iz
|
||||
do i = 0, n_pt_out
|
||||
d1(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(d_poly, n_pt_tmp, Iz_pol, n_Iz, d1, n_pt_out)
|
||||
accu = accu + rint_sum(n_pt_out, const, d1)
|
||||
|
||||
general_primitive_integral_erf_shifted = fact_p * fact_q * accu * pi_5_2 * p_inv * q_inv / dsqrt(p_plus_q)
|
||||
|
||||
return
|
||||
end function general_primitive_integral_erf_shifted
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
@ -1,433 +0,0 @@
|
||||
double precision function j1b_gauss_erf_acc(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ -0.5 erf(mu r12) / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = - [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s, ii
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: p1_inv, q1_inv, p2_inv, q2_inv
|
||||
double precision :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1
|
||||
double precision :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2
|
||||
double precision :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1
|
||||
double precision :: Q2_new(0:max_dim,3), Q2_center(3), fact_q2, qq2
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: expoii, factii, Centerii(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: general_primitive_integral_erf_shifted
|
||||
!double precision :: j1b_gauss_erf_schwartz_accel
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
! TODO
|
||||
!if( ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024 ) then
|
||||
! j1b_gauss_erf_schwartz_accel = j1b_gauss_erf_schwartz_accel(i, j, k, l)
|
||||
! return
|
||||
!endif
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf_acc = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P1_new, P1_center, pp1, fact_p1, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp1, P1_center, expoii, Centerii, factii, pp2, P2_center)
|
||||
fact_p2 = fact_p1 * factii
|
||||
p2_inv = 1.d0 / pp2
|
||||
call pol_modif_center( P1_center, P2_center, iorder_p, P1_new, P2_new)
|
||||
|
||||
call gaussian_product(qq1, Q1_center, expoii, Centerii, factii, qq2, Q2_center)
|
||||
fact_q2 = fact_q1 * factii
|
||||
q2_inv = 1.d0 / qq2
|
||||
call pol_modif_center( Q1_center, Q2_center, iorder_q, Q1_new, Q2_new)
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
! x term:
|
||||
ff = P2_center(1) - Centerii(1)
|
||||
|
||||
shift_P = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P2_center(2) - Centerii(2)
|
||||
|
||||
shift_P = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P2_center(3) - Centerii(3)
|
||||
|
||||
shift_P = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! [ erf(mu r12) / r12 ] \sum_A a_A [ (r2-RA)^2 exp(-aA r2A^2)
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
|
||||
! x term:
|
||||
ff = Q2_center(1) - Centerii(1)
|
||||
|
||||
shift_Q = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = Q2_center(2) - Centerii(2)
|
||||
|
||||
shift_Q = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = Q2_center(3) - Centerii(3)
|
||||
|
||||
shift_Q = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! - [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r1A^2) ]
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! x term:
|
||||
ff = P2_center(1) - Centerii(1)
|
||||
gg = Q1_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P2_center(2) - Centerii(2)
|
||||
gg = Q1_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P2_center(3) - Centerii(3)
|
||||
gg = Q1_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! - [ erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! x term:
|
||||
ff = P1_center(1) - Centerii(1)
|
||||
gg = Q2_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P1_center(2) - Centerii(2)
|
||||
gg = Q2_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P1_center(3) - Centerii(3)
|
||||
gg = Q2_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
j1b_gauss_erf_acc = j1b_gauss_erf_acc - coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
return
|
||||
end function j1b_gauss_erf_acc
|
@ -1,4 +1,106 @@
|
||||
double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
! ---
|
||||
|
||||
double precision function j1b_gauss_2e_j1(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ (0.5 - 0.5 erf(mu r12)) / r12 ] (r1-r2) \cdot \sum_A (-2 a_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ (1 - erf(mu r12) / r12 ] \sum_A a_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
|
||||
double precision :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: j1b_gauss_2e_j1_schwartz
|
||||
|
||||
if( ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024 ) then
|
||||
j1b_gauss_2e_j1 = j1b_gauss_2e_j1_schwartz(i, j, k, l)
|
||||
return
|
||||
endif
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_2e_j1 = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P1_new, P1_center, pp1, fact_p1, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz_j1( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
j1b_gauss_2e_j1 = j1b_gauss_2e_j1 + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
return
|
||||
end function j1b_gauss_2e_j1
|
||||
|
||||
! ---
|
||||
|
||||
double precision function j1b_gauss_2e_j1_schwartz(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
@ -35,7 +137,7 @@ double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
double precision :: schwartz_ij, thr
|
||||
double precision, allocatable :: schwartz_kl(:,:)
|
||||
|
||||
PROVIDE j1b_gauss_pen
|
||||
PROVIDE j1b_pen
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
thr = ao_integrals_threshold * ao_integrals_threshold
|
||||
@ -73,7 +175,7 @@ double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz( dim1, cx, cy, cz &
|
||||
call get_cxcycz_j1( dim1, cx, cy, cz &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
@ -85,7 +187,7 @@ double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
enddo
|
||||
|
||||
|
||||
j1b_gauss_coulerf_schwartz = 0.d0
|
||||
j1b_gauss_2e_j1_schwartz = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
@ -99,7 +201,7 @@ double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
call get_cxcycz( dim1, cx, cy, cz &
|
||||
call get_cxcycz_j1( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p )
|
||||
|
||||
@ -120,11 +222,11 @@ double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz( dim1, cx, cy, cz &
|
||||
call get_cxcycz_j1( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
j1b_gauss_coulerf_schwartz = j1b_gauss_coulerf_schwartz + coef4 * ( cx + cy + cz )
|
||||
j1b_gauss_2e_j1_schwartz = j1b_gauss_2e_j1_schwartz + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
@ -133,13 +235,11 @@ double precision function j1b_gauss_coulerf_schwartz(i, j, k, l)
|
||||
deallocate( schwartz_kl )
|
||||
|
||||
return
|
||||
end function j1b_gauss_coulerf_schwartz
|
||||
end function j1b_gauss_2e_j1_schwartz
|
||||
|
||||
! ---
|
||||
|
||||
|
||||
|
||||
|
||||
subroutine get_cxcycz( dim1, cx, cy, cz &
|
||||
subroutine get_cxcycz_j1( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
@ -163,12 +263,14 @@ subroutine get_cxcycz( dim1, cx, cy, cz &
|
||||
double precision :: general_primitive_integral_erf_shifted
|
||||
double precision :: general_primitive_integral_coul_shifted
|
||||
|
||||
PROVIDE j1b_pen
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
|
||||
expoii = j1b_gauss_pen(ii)
|
||||
expoii = j1b_pen(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp1, P1_center, expoii, Centerii, factii, pp2, P2_center)
|
||||
@ -620,5 +722,7 @@ subroutine get_cxcycz( dim1, cx, cy, cz &
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine get_cxcycz
|
||||
end subroutine get_cxcycz_j1
|
||||
|
||||
! ---
|
||||
|
729
src/ao_tc_eff_map/two_e_1bgauss_j2.irp.f
Normal file
729
src/ao_tc_eff_map/two_e_1bgauss_j2.irp.f
Normal file
@ -0,0 +1,729 @@
|
||||
! ---
|
||||
|
||||
double precision function j1b_gauss_2e_j2(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ (0.5 - 0.5 erf(mu r12)) / r12 ] (r1-r2) \cdot \sum_A (-2 a_A c_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ (1 - erf(mu r12) / r12 ] \sum_A a_A c_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
|
||||
double precision :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: ff, gg, cx, cy, cz
|
||||
|
||||
double precision :: j1b_gauss_2e_j2_schwartz
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
|
||||
if( ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024 ) then
|
||||
j1b_gauss_2e_j2 = j1b_gauss_2e_j2_schwartz(i, j, k, l)
|
||||
return
|
||||
endif
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
j1b_gauss_2e_j2 = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P1_new, P1_center, pp1, fact_p1, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz_j2( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
j1b_gauss_2e_j2 = j1b_gauss_2e_j2 + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
return
|
||||
end function j1b_gauss_2e_j2
|
||||
|
||||
! ---
|
||||
|
||||
double precision function j1b_gauss_2e_j2_schwartz(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! integral in the AO basis:
|
||||
! i(r1) j(r1) f(r12) k(r2) l(r2)
|
||||
!
|
||||
! with:
|
||||
! f(r12) = - [ (0.5 - 0.5 erf(mu r12)) / r12 ] (r1-r2) \cdot \sum_A (-2 a_A c_A) [ r1A exp(-aA r1A^2) - r2A exp(-aA r2A^2) ]
|
||||
! = [ (1 - erf(mu r12) / r12 ] \sum_A a_A c_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! + (r2-RA)^2 exp(-aA r2A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r1A^2)
|
||||
! - (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, k, l
|
||||
|
||||
integer :: p, q, r, s
|
||||
integer :: num_i, num_j, num_k, num_l, num_ii
|
||||
integer :: I_power(3), J_power(3), K_power(3), L_power(3)
|
||||
integer :: iorder_p(3), iorder_q(3)
|
||||
integer :: dim1
|
||||
|
||||
double precision :: coef1, coef2, coef3, coef4
|
||||
double precision :: expo1, expo2, expo3, expo4
|
||||
double precision :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
|
||||
double precision :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
|
||||
double precision :: I_center(3), J_center(3), K_center(3), L_center(3)
|
||||
double precision :: cx, cy, cz
|
||||
double precision :: schwartz_ij, thr
|
||||
double precision, allocatable :: schwartz_kl(:,:)
|
||||
|
||||
dim1 = n_pt_max_integrals
|
||||
thr = ao_integrals_threshold * ao_integrals_threshold
|
||||
|
||||
num_i = ao_nucl(i)
|
||||
num_j = ao_nucl(j)
|
||||
num_k = ao_nucl(k)
|
||||
num_l = ao_nucl(l)
|
||||
|
||||
do p = 1, 3
|
||||
I_power(p) = ao_power(i,p)
|
||||
J_power(p) = ao_power(j,p)
|
||||
K_power(p) = ao_power(k,p)
|
||||
L_power(p) = ao_power(l,p)
|
||||
I_center(p) = nucl_coord(num_i,p)
|
||||
J_center(p) = nucl_coord(num_j,p)
|
||||
K_center(p) = nucl_coord(num_k,p)
|
||||
L_center(p) = nucl_coord(num_l,p)
|
||||
enddo
|
||||
|
||||
|
||||
allocate( schwartz_kl(0:ao_prim_num(l) , 0:ao_prim_num(k)) )
|
||||
|
||||
schwartz_kl(0,0) = 0.d0
|
||||
do r = 1, ao_prim_num(k)
|
||||
expo3 = ao_expo_ordered_transp(r,k)
|
||||
coef3 = ao_coef_normalized_ordered_transp(r,k) * ao_coef_normalized_ordered_transp(r,k)
|
||||
|
||||
schwartz_kl(0,r) = 0.d0
|
||||
do s = 1, ao_prim_num(l)
|
||||
expo4 = ao_expo_ordered_transp(s,l)
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s,l) * ao_coef_normalized_ordered_transp(s,l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz_j2( dim1, cx, cy, cz &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
schwartz_kl(s,r) = coef4 * dabs( cx + cy + cz )
|
||||
schwartz_kl(0,r) = max( schwartz_kl(0,r) , schwartz_kl(s,r) )
|
||||
enddo
|
||||
|
||||
schwartz_kl(0,0) = max( schwartz_kl(0,r) , schwartz_kl(0,0) )
|
||||
enddo
|
||||
|
||||
|
||||
j1b_gauss_2e_j2_schwartz = 0.d0
|
||||
|
||||
do p = 1, ao_prim_num(i)
|
||||
expo1 = ao_expo_ordered_transp(p, i)
|
||||
coef1 = ao_coef_normalized_ordered_transp(p, i)
|
||||
|
||||
do q = 1, ao_prim_num(j)
|
||||
expo2 = ao_expo_ordered_transp(q, j)
|
||||
coef2 = coef1 * ao_coef_normalized_ordered_transp(q, j)
|
||||
|
||||
call give_explicit_poly_and_gaussian( P1_new, P1_center, pp1, fact_p1, iorder_p, expo1, expo2 &
|
||||
, I_power, J_power, I_center, J_center, dim1 )
|
||||
p1_inv = 1.d0 / pp1
|
||||
|
||||
call get_cxcycz_j2( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p )
|
||||
|
||||
schwartz_ij = coef2 * coef2 * dabs( cx + cy + cz )
|
||||
if( schwartz_kl(0,0) * schwartz_ij < thr ) cycle
|
||||
|
||||
do r = 1, ao_prim_num(k)
|
||||
if( schwartz_kl(0,r) * schwartz_ij < thr ) cycle
|
||||
coef3 = coef2 * ao_coef_normalized_ordered_transp(r, k)
|
||||
expo3 = ao_expo_ordered_transp(r, k)
|
||||
|
||||
do s = 1, ao_prim_num(l)
|
||||
if( schwartz_kl(s,r) * schwartz_ij < thr ) cycle
|
||||
coef4 = coef3 * ao_coef_normalized_ordered_transp(s, l)
|
||||
expo4 = ao_expo_ordered_transp(s, l)
|
||||
|
||||
call give_explicit_poly_and_gaussian( Q1_new, Q1_center, qq1, fact_q1, iorder_q, expo3, expo4 &
|
||||
, K_power, L_power, K_center, L_center, dim1 )
|
||||
q1_inv = 1.d0 / qq1
|
||||
|
||||
call get_cxcycz_j2( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
j1b_gauss_2e_j2_schwartz = j1b_gauss_2e_j2_schwartz + coef4 * ( cx + cy + cz )
|
||||
enddo ! s
|
||||
enddo ! r
|
||||
enddo ! q
|
||||
enddo ! p
|
||||
|
||||
deallocate( schwartz_kl )
|
||||
|
||||
return
|
||||
end function j1b_gauss_2e_j2_schwartz
|
||||
|
||||
! ---
|
||||
|
||||
subroutine get_cxcycz_j2( dim1, cx, cy, cz &
|
||||
, P1_center, P1_new, pp1, fact_p1, p1_inv, iorder_p &
|
||||
, Q1_center, Q1_new, qq1, fact_q1, q1_inv, iorder_q )
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: dim1
|
||||
integer, intent(in) :: iorder_p(3), iorder_q(3)
|
||||
double precision, intent(in) :: P1_new(0:max_dim,3), P1_center(3), fact_p1, pp1, p1_inv
|
||||
double precision, intent(in) :: Q1_new(0:max_dim,3), Q1_center(3), fact_q1, qq1, q1_inv
|
||||
double precision, intent(out) :: cx, cy, cz
|
||||
|
||||
integer :: ii
|
||||
integer :: shift_P(3), shift_Q(3)
|
||||
double precision :: coefii, expoii, factii, Centerii(3)
|
||||
double precision :: P2_new(0:max_dim,3), P2_center(3), fact_p2, pp2, p2_inv
|
||||
double precision :: Q2_new(0:max_dim,3), Q2_center(3), fact_q2, qq2, q2_inv
|
||||
double precision :: ff, gg
|
||||
|
||||
double precision :: general_primitive_integral_erf_shifted
|
||||
double precision :: general_primitive_integral_coul_shifted
|
||||
|
||||
PROVIDE j1b_pen j1b_coeff
|
||||
|
||||
cx = 0.d0
|
||||
cy = 0.d0
|
||||
cz = 0.d0
|
||||
do ii = 1, nucl_num
|
||||
|
||||
expoii = j1b_pen (ii)
|
||||
coefii = j1b_coeff(ii)
|
||||
Centerii(1:3) = nucl_coord(ii, 1:3)
|
||||
|
||||
call gaussian_product(pp1, P1_center, expoii, Centerii, factii, pp2, P2_center)
|
||||
fact_p2 = fact_p1 * factii
|
||||
p2_inv = 1.d0 / pp2
|
||||
call pol_modif_center( P1_center, P2_center, iorder_p, P1_new, P2_new )
|
||||
|
||||
call gaussian_product(qq1, Q1_center, expoii, Centerii, factii, qq2, Q2_center)
|
||||
fact_q2 = fact_q1 * factii
|
||||
q2_inv = 1.d0 / qq2
|
||||
call pol_modif_center( Q1_center, Q2_center, iorder_q, Q1_new, Q2_new )
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! [ (1-erf(mu r12)) / r12 ] \sum_A a_A c_A [ (r1-RA)^2 exp(-aA r1A^2)
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
|
||||
! x term:
|
||||
ff = P2_center(1) - Centerii(1)
|
||||
|
||||
shift_P = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx - expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * coefii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx - expoii * coefii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * coefii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx - expoii * coefii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P2_center(2) - Centerii(2)
|
||||
|
||||
shift_P = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy - expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * coefii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy - expoii * coefii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * coefii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy - expoii * coefii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P2_center(3) - Centerii(3)
|
||||
|
||||
shift_P = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz - expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * coefii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz - expoii * coefii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * coefii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz - expoii * coefii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! [ (1-erf(mu r12)) / r12 ] \sum_A a_A c_A [ (r2-RA)^2 exp(-aA r2A^2)
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
shift_P = (/ 0, 0, 0 /)
|
||||
|
||||
! x term:
|
||||
ff = Q2_center(1) - Centerii(1)
|
||||
|
||||
shift_Q = (/ 2, 0, 0 /)
|
||||
cx = cx + expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx - expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx + expoii * coefii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx - expoii * coefii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx + expoii * coefii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx - expoii * coefii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = Q2_center(2) - Centerii(2)
|
||||
|
||||
shift_Q = (/ 0, 2, 0 /)
|
||||
cy = cy + expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy - expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy + expoii * coefii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy - expoii * coefii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy + expoii * coefii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy - expoii * coefii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = Q2_center(3) - Centerii(3)
|
||||
|
||||
shift_Q = (/ 0, 0, 2 /)
|
||||
cz = cz + expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz - expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz + expoii * coefii * 2.d0 * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz - expoii * coefii * 2.d0 * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz + expoii * coefii * ff * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz - expoii * coefii * ff * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! - [ (1-erf(mu r12)) / r12 ] \sum_A a_A c_A [ (r1-RA) \cdot (r2-RA) exp(-aA r1A^2) ]
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! x term:
|
||||
ff = P2_center(1) - Centerii(1)
|
||||
gg = Q1_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * coefii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * coefii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * coefii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P2_center(2) - Centerii(2)
|
||||
gg = Q1_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * coefii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * coefii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * coefii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P2_center(3) - Centerii(3)
|
||||
gg = Q1_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * coefii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * coefii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * coefii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P2_new, P2_center, fact_p2, pp2, p2_inv, iorder_p, shift_P &
|
||||
, Q1_new, Q1_center, fact_q1, qq1, q1_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
! - [ (1-erf(mu r12)) / r12 ] \sum_A a_A c_A [ (r1-RA) \cdot (r2-RA) exp(-aA r2A^2) ]
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
! x term:
|
||||
ff = P1_center(1) - Centerii(1)
|
||||
gg = Q2_center(1) - Centerii(1)
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 1, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * coefii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 1, 0, 0 /)
|
||||
cx = cx - expoii * coefii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cx = cx - expoii * coefii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cx = cx + expoii * coefii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! y term:
|
||||
ff = P1_center(2) - Centerii(2)
|
||||
gg = Q2_center(2) - Centerii(2)
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 1, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * coefii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 1, 0 /)
|
||||
cy = cy - expoii * coefii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cy = cy - expoii * coefii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cy = cy + expoii * coefii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! z term:
|
||||
ff = P1_center(3) - Centerii(3)
|
||||
gg = Q2_center(3) - Centerii(3)
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * coefii * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 1 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * coefii * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 1 /)
|
||||
cz = cz - expoii * coefii * ff * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * ff * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
shift_p = (/ 0, 0, 0 /)
|
||||
shift_Q = (/ 0, 0, 0 /)
|
||||
cz = cz - expoii * coefii * ff * gg * general_primitive_integral_coul_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
cz = cz + expoii * coefii * ff * gg * general_primitive_integral_erf_shifted( dim1 &
|
||||
, P1_new, P1_center, fact_p1, pp1, p1_inv, iorder_p, shift_P &
|
||||
, Q2_new, Q2_center, fact_q2, qq2, q2_inv, iorder_q, shift_Q )
|
||||
|
||||
! ----------------------------------------------------------------------------------------------------
|
||||
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine get_cxcycz_j2
|
||||
|
||||
! ---
|
||||
|
@ -254,6 +254,7 @@ double precision function general_primitive_integral_gauss(dim, &
|
||||
rho_old = (p*q)/(p+q)
|
||||
prefactor = pi_3 * inv_pq_3_2 * fact_p * fact_q
|
||||
do i = 1, n_gauss_eff_pot ! browse the gaussians with different expo/coef
|
||||
!do i = 1, n_gauss_eff_pot-1
|
||||
aa = expo_gauss_eff_pot(i)
|
||||
c_a = coef_gauss_eff_pot(i)
|
||||
t_a = dsqrt( aa /(rho_old + aa) )
|
||||
|
364
src/ao_tc_eff_map/useful_sub.irp.f
Normal file
364
src/ao_tc_eff_map/useful_sub.irp.f
Normal file
@ -0,0 +1,364 @@
|
||||
! ---
|
||||
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
||||
|
||||
double precision function general_primitive_integral_coul_shifted( dim &
|
||||
, P_new, P_center, fact_p, p, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, q, q_inv, iorder_q, shift_Q )
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: dim
|
||||
integer, intent(in) :: iorder_p(3), shift_P(3)
|
||||
integer, intent(in) :: iorder_q(3), shift_Q(3)
|
||||
double precision, intent(in) :: P_new(0:max_dim,3), P_center(3), fact_p, p, p_inv
|
||||
double precision, intent(in) :: Q_new(0:max_dim,3), Q_center(3), fact_q, q, q_inv
|
||||
|
||||
integer :: n_Ix, n_Iy, n_Iz, nx, ny, nz
|
||||
integer :: ix, iy, iz, jx, jy, jz, i
|
||||
integer :: n_pt_tmp, n_pt_out, iorder
|
||||
integer :: ii, jj
|
||||
double precision :: rho, dist
|
||||
double precision :: dx(0:max_dim), Ix_pol(0:max_dim)
|
||||
double precision :: dy(0:max_dim), Iy_pol(0:max_dim)
|
||||
double precision :: dz(0:max_dim), Iz_pol(0:max_dim)
|
||||
double precision :: a, b, c, d, e, f, accu, pq, const
|
||||
double precision :: pq_inv, p10_1, p10_2, p01_1, p01_2, pq_inv_2
|
||||
double precision :: d1(0:max_dim), d_poly(0:max_dim)
|
||||
double precision :: p_plus_q
|
||||
|
||||
double precision :: rint_sum
|
||||
|
||||
general_primitive_integral_coul_shifted = 0.d0
|
||||
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: dx, Ix_pol, dy, Iy_pol, dz, Iz_pol
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: d1, d_poly
|
||||
|
||||
! Gaussian Product
|
||||
! ----------------
|
||||
p_plus_q = (p+q)
|
||||
pq = p_inv * 0.5d0 * q_inv
|
||||
pq_inv = 0.5d0 / p_plus_q
|
||||
p10_1 = q * pq ! 1/(2p)
|
||||
p01_1 = p * pq ! 1/(2q)
|
||||
pq_inv_2 = pq_inv + pq_inv
|
||||
p10_2 = pq_inv_2 * p10_1 * q ! 0.5d0 * q / (pq + p*p)
|
||||
p01_2 = pq_inv_2 * p01_1 * p ! 0.5d0 * p / (q*q + pq)
|
||||
|
||||
accu = 0.d0
|
||||
|
||||
iorder = iorder_p(1) + iorder_q(1) + iorder_p(1) + iorder_q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Ix_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Ix = 0
|
||||
do ix = 0, iorder_p(1)
|
||||
|
||||
ii = ix + shift_P(1)
|
||||
a = P_new(ix,1)
|
||||
if(abs(a) < thresh) cycle
|
||||
|
||||
do jx = 0, iorder_q(1)
|
||||
|
||||
jj = jx + shift_Q(1)
|
||||
d = a * Q_new(jx,1)
|
||||
if(abs(d) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(1), Q_center(1), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dx, nx )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dx, nx, d, Ix_pol, n_Ix)
|
||||
enddo
|
||||
enddo
|
||||
if(n_Ix == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(2) + iorder_q(2) + iorder_p(2) + iorder_q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Iy_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iy = 0
|
||||
do iy = 0, iorder_p(2)
|
||||
|
||||
if(abs(P_new(iy,2)) > thresh) then
|
||||
|
||||
ii = iy + shift_P(2)
|
||||
b = P_new(iy,2)
|
||||
|
||||
do jy = 0, iorder_q(2)
|
||||
|
||||
jj = jy + shift_Q(2)
|
||||
e = b * Q_new(jy,2)
|
||||
if(abs(e) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(2), Q_center(2), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dy, ny )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dy, ny, e, Iy_pol, n_Iy)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iy == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(3) + iorder_q(3) + iorder_p(3) + iorder_q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
do ix = 0, iorder
|
||||
Iz_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iz = 0
|
||||
do iz = 0, iorder_p(3)
|
||||
|
||||
if( abs(P_new(iz,3)) > thresh ) then
|
||||
|
||||
ii = iz + shift_P(3)
|
||||
c = P_new(iz,3)
|
||||
|
||||
do jz = 0, iorder_q(3)
|
||||
|
||||
jj = jz + shift_Q(3)
|
||||
f = c * Q_new(jz,3)
|
||||
if(abs(f) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(3), Q_center(3), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dz, nz )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dz, nz, f, Iz_pol, n_Iz)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iz == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
rho = p * q * pq_inv_2
|
||||
dist = (P_center(1) - Q_center(1)) * (P_center(1) - Q_center(1)) &
|
||||
+ (P_center(2) - Q_center(2)) * (P_center(2) - Q_center(2)) &
|
||||
+ (P_center(3) - Q_center(3)) * (P_center(3) - Q_center(3))
|
||||
const = dist*rho
|
||||
|
||||
n_pt_tmp = n_Ix + n_Iy
|
||||
do i = 0, n_pt_tmp
|
||||
d_poly(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(Ix_pol, n_Ix, Iy_pol, n_Iy, d_poly, n_pt_tmp)
|
||||
if(n_pt_tmp == -1) then
|
||||
return
|
||||
endif
|
||||
n_pt_out = n_pt_tmp + n_Iz
|
||||
do i = 0, n_pt_out
|
||||
d1(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(d_poly, n_pt_tmp, Iz_pol, n_Iz, d1, n_pt_out)
|
||||
accu = accu + rint_sum(n_pt_out, const, d1)
|
||||
|
||||
general_primitive_integral_coul_shifted = fact_p * fact_q * accu * pi_5_2 * p_inv * q_inv / dsqrt(p_plus_q)
|
||||
|
||||
return
|
||||
end function general_primitive_integral_coul_shifted
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
||||
|
||||
|
||||
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
||||
|
||||
double precision function general_primitive_integral_erf_shifted( dim &
|
||||
, P_new, P_center, fact_p, p, p_inv, iorder_p, shift_P &
|
||||
, Q_new, Q_center, fact_q, q, q_inv, iorder_q, shift_Q )
|
||||
|
||||
include 'utils/constants.include.F'
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: dim
|
||||
integer, intent(in) :: iorder_p(3), shift_P(3)
|
||||
integer, intent(in) :: iorder_q(3), shift_Q(3)
|
||||
double precision, intent(in) :: P_new(0:max_dim,3), P_center(3), fact_p, p, p_inv
|
||||
double precision, intent(in) :: Q_new(0:max_dim,3), Q_center(3), fact_q, q, q_inv
|
||||
|
||||
integer :: n_Ix, n_Iy, n_Iz, nx, ny, nz
|
||||
integer :: ix, iy, iz, jx, jy, jz, i
|
||||
integer :: n_pt_tmp, n_pt_out, iorder
|
||||
integer :: ii, jj
|
||||
double precision :: rho, dist
|
||||
double precision :: dx(0:max_dim), Ix_pol(0:max_dim)
|
||||
double precision :: dy(0:max_dim), Iy_pol(0:max_dim)
|
||||
double precision :: dz(0:max_dim), Iz_pol(0:max_dim)
|
||||
double precision :: a, b, c, d, e, f, accu, pq, const
|
||||
double precision :: pq_inv, p10_1, p10_2, p01_1, p01_2, pq_inv_2
|
||||
double precision :: d1(0:max_dim), d_poly(0:max_dim)
|
||||
double precision :: p_plus_q
|
||||
|
||||
double precision :: rint_sum
|
||||
|
||||
general_primitive_integral_erf_shifted = 0.d0
|
||||
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: dx, Ix_pol, dy, Iy_pol, dz, Iz_pol
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: d1, d_poly
|
||||
|
||||
! Gaussian Product
|
||||
! ----------------
|
||||
p_plus_q = (p+q) * ( (p*q)/(p+q) + mu_erf*mu_erf ) / (mu_erf*mu_erf)
|
||||
pq = p_inv * 0.5d0 * q_inv
|
||||
pq_inv = 0.5d0 / p_plus_q
|
||||
p10_1 = q * pq ! 1/(2p)
|
||||
p01_1 = p * pq ! 1/(2q)
|
||||
pq_inv_2 = pq_inv + pq_inv
|
||||
p10_2 = pq_inv_2 * p10_1 * q ! 0.5d0 * q / (pq + p*p)
|
||||
p01_2 = pq_inv_2 * p01_1 * p ! 0.5d0 * p / (q*q + pq)
|
||||
|
||||
accu = 0.d0
|
||||
|
||||
iorder = iorder_p(1) + iorder_q(1) + iorder_p(1) + iorder_q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
iorder = iorder + shift_P(1) + shift_Q(1)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Ix_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Ix = 0
|
||||
do ix = 0, iorder_p(1)
|
||||
|
||||
ii = ix + shift_P(1)
|
||||
a = P_new(ix,1)
|
||||
if(abs(a) < thresh) cycle
|
||||
|
||||
do jx = 0, iorder_q(1)
|
||||
|
||||
jj = jx + shift_Q(1)
|
||||
d = a * Q_new(jx,1)
|
||||
if(abs(d) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(1), Q_center(1), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dx, nx )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dx, nx, d, Ix_pol, n_Ix)
|
||||
enddo
|
||||
enddo
|
||||
if(n_Ix == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(2) + iorder_q(2) + iorder_p(2) + iorder_q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
iorder = iorder + shift_P(2) + shift_Q(2)
|
||||
!DIR$ VECTOR ALIGNED
|
||||
do ix = 0, iorder
|
||||
Iy_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iy = 0
|
||||
do iy = 0, iorder_p(2)
|
||||
|
||||
if(abs(P_new(iy,2)) > thresh) then
|
||||
|
||||
ii = iy + shift_P(2)
|
||||
b = P_new(iy,2)
|
||||
|
||||
do jy = 0, iorder_q(2)
|
||||
|
||||
jj = jy + shift_Q(2)
|
||||
e = b * Q_new(jy,2)
|
||||
if(abs(e) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(2), Q_center(2), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dy, ny )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dy, ny, e, Iy_pol, n_Iy)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iy == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
iorder = iorder_p(3) + iorder_q(3) + iorder_p(3) + iorder_q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
iorder = iorder + shift_P(3) + shift_Q(3)
|
||||
do ix = 0, iorder
|
||||
Iz_pol(ix) = 0.d0
|
||||
enddo
|
||||
n_Iz = 0
|
||||
do iz = 0, iorder_p(3)
|
||||
|
||||
if( abs(P_new(iz,3)) > thresh ) then
|
||||
|
||||
ii = iz + shift_P(3)
|
||||
c = P_new(iz,3)
|
||||
|
||||
do jz = 0, iorder_q(3)
|
||||
|
||||
jj = jz + shift_Q(3)
|
||||
f = c * Q_new(jz,3)
|
||||
if(abs(f) < thresh) cycle
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call give_polynom_mult_center_x( P_center(3), Q_center(3), ii, jj &
|
||||
, p, q, iorder, pq_inv, pq_inv_2, p10_1, p01_1, p10_2, p01_2, dz, nz )
|
||||
!DEC$ FORCEINLINE
|
||||
call add_poly_multiply(dz, nz, f, Iz_pol, n_Iz)
|
||||
enddo
|
||||
endif
|
||||
enddo
|
||||
if(n_Iz == -1) then
|
||||
return
|
||||
endif
|
||||
|
||||
rho = p * q * pq_inv_2
|
||||
dist = (P_center(1) - Q_center(1)) * (P_center(1) - Q_center(1)) &
|
||||
+ (P_center(2) - Q_center(2)) * (P_center(2) - Q_center(2)) &
|
||||
+ (P_center(3) - Q_center(3)) * (P_center(3) - Q_center(3))
|
||||
const = dist*rho
|
||||
|
||||
n_pt_tmp = n_Ix + n_Iy
|
||||
do i = 0, n_pt_tmp
|
||||
d_poly(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(Ix_pol, n_Ix, Iy_pol, n_Iy, d_poly, n_pt_tmp)
|
||||
if(n_pt_tmp == -1) then
|
||||
return
|
||||
endif
|
||||
n_pt_out = n_pt_tmp + n_Iz
|
||||
do i = 0, n_pt_out
|
||||
d1(i) = 0.d0
|
||||
enddo
|
||||
|
||||
!DEC$ FORCEINLINE
|
||||
call multiply_poly(d_poly, n_pt_tmp, Iz_pol, n_Iz, d1, n_pt_out)
|
||||
accu = accu + rint_sum(n_pt_out, const, d1)
|
||||
|
||||
general_primitive_integral_erf_shifted = fact_p * fact_q * accu * pi_5_2 * p_inv * q_inv / dsqrt(p_plus_q)
|
||||
|
||||
return
|
||||
end function general_primitive_integral_erf_shifted
|
||||
!______________________________________________________________________________________________________________________
|
||||
!______________________________________________________________________________________________________________________
|
||||
|
||||
|
||||
|
||||
|
||||
|
@ -321,8 +321,9 @@ BEGIN_PROVIDER [ double precision, ao_integrals_cache, (0:64*64*64*64) ]
|
||||
!$OMP END PARALLEL DO
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
double precision function get_ao_two_e_integral(i,j,k,l,map) result(result)
|
||||
double precision function get_ao_two_e_integral(i, j, k, l, map) result(result)
|
||||
use map_module
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
|
@ -1,7 +1,7 @@
|
||||
|
||||
! ---
|
||||
|
||||
double precision function ao_two_e_integral(i,j,k,l)
|
||||
double precision function ao_two_e_integral(i, j, k, l)
|
||||
|
||||
BEGIN_DOC
|
||||
! integral of the AO basis <ik|jl> or (ij|kl)
|
||||
@ -29,7 +29,7 @@ double precision function ao_two_e_integral(i,j,k,l)
|
||||
if(use_cosgtos) then
|
||||
!print *, ' use_cosgtos for ao_two_e_integral ?', use_cosgtos
|
||||
|
||||
ao_two_e_integral = ao_two_e_integral_cosgtos(i,j,k,l)
|
||||
ao_two_e_integral = ao_two_e_integral_cosgtos(i, j, k, l)
|
||||
|
||||
else
|
||||
|
||||
|
153
src/bi_ort_ints/biorthog_mo_for_h.irp.f
Normal file
153
src/bi_ort_ints/biorthog_mo_for_h.irp.f
Normal file
@ -0,0 +1,153 @@
|
||||
|
||||
! ---
|
||||
|
||||
double precision function bi_ortho_mo_coul_ints(l, k, j, i)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! < mo^L_k mo^L_l | 1/r12 | mo^R_i mo^R_j >
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: i, j, k, l
|
||||
integer :: m, n, p, q
|
||||
|
||||
bi_ortho_mo_coul_ints = 0.d0
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
do q = 1, ao_num
|
||||
! p1h1p2h2 l1 l2 r1 r2
|
||||
bi_ortho_mo_coul_ints += ao_two_e_coul(n,q,m,p) * mo_l_coef(m,l) * mo_l_coef(n,k) * mo_r_coef(p,j) * mo_r_coef(q,i)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
end function bi_ortho_mo_coul_ints
|
||||
|
||||
! ---
|
||||
|
||||
! TODO :: transform into DEGEMM
|
||||
|
||||
BEGIN_PROVIDER [double precision, mo_bi_ortho_coul_e_chemist, (mo_num, mo_num, mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! mo_bi_ortho_coul_e_chemist(k,i,l,j) = < k l | 1/r12 | i j > where i,j are right MOs and k,l are left MOs
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, l, m, n, p, q
|
||||
double precision, allocatable :: mo_tmp_1(:,:,:,:), mo_tmp_2(:,:,:,:)
|
||||
|
||||
allocate(mo_tmp_1(mo_num,ao_num,ao_num,ao_num))
|
||||
mo_tmp_1 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
do q = 1, ao_num
|
||||
do k = 1, mo_num
|
||||
! (k n|p m) = sum_q c_qk * (q n|p m)
|
||||
mo_tmp_1(k,n,p,m) += mo_l_coef_transp(k,q) * ao_two_e_coul(q,n,p,m)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
allocate(mo_tmp_2(mo_num,mo_num,ao_num,ao_num))
|
||||
mo_tmp_2 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
do i = 1, mo_num
|
||||
do k = 1, mo_num
|
||||
! (k i|p m) = sum_n c_ni * (k n|p m)
|
||||
mo_tmp_2(k,i,p,m) += mo_r_coef_transp(i,n) * mo_tmp_1(k,n,p,m)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_1)
|
||||
|
||||
allocate(mo_tmp_1(mo_num,mo_num,mo_num,ao_num))
|
||||
mo_tmp_1 = 0.d0
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do l = 1, mo_num
|
||||
do i = 1, mo_num
|
||||
do k = 1, mo_num
|
||||
mo_tmp_1(k,i,l,m) += mo_l_coef_transp(l,p) * mo_tmp_2(k,i,p,m)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_2)
|
||||
|
||||
mo_bi_ortho_coul_e_chemist = 0.d0
|
||||
do m = 1, ao_num
|
||||
do j = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do i = 1, mo_num
|
||||
do k = 1, mo_num
|
||||
mo_bi_ortho_coul_e_chemist(k,i,l,j) += mo_r_coef_transp(j,m) * mo_tmp_1(k,i,l,m)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_1)
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, mo_bi_ortho_coul_e, (mo_num, mo_num, mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! mo_bi_ortho_coul_e(k,l,i,j) = < k l | 1/r12 | i j > where i,j are right MOs and k,l are left MOs
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, l
|
||||
|
||||
do j = 1, mo_num
|
||||
do i = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do k = 1, mo_num
|
||||
! < k l | V12 | i j > (k i|l j)
|
||||
mo_bi_ortho_coul_e(k,l,i,j) = mo_bi_ortho_coul_e_chemist(k,i,l,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_bi_ortho_one_e, (mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! mo_bi_ortho_one_e(k,i) = < MO^L_k | h_c | MO^R_i >
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
call ao_to_mo_bi_ortho(ao_one_e_integrals, ao_num, mo_bi_ortho_one_e , mo_num)
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
@ -8,9 +8,9 @@ BEGIN_PROVIDER [double precision, ao_one_e_integrals_tc_tot, (ao_num,ao_num)]
|
||||
|
||||
ao_one_e_integrals_tc_tot = ao_one_e_integrals
|
||||
|
||||
provide j1b_gauss
|
||||
provide j1b_type
|
||||
|
||||
if(j1b_gauss .eq. 1) then
|
||||
if( (j1b_type .eq. 1) .or. (j1b_type .eq. 2) ) then
|
||||
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
@ -24,12 +24,17 @@ BEGIN_PROVIDER [double precision, ao_one_e_integrals_tc_tot, (ao_num,ao_num)]
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_one_e, (mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! mo_bi_ortho_tc_one_e(k,i) = <MO^L_k | h_c | MO^R_i>
|
||||
!
|
||||
! mo_bi_ortho_tc_one_e(k,i) = <MO^L_k | h_c | MO^R_i>
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,k,p,q
|
||||
|
||||
implicit none
|
||||
|
||||
call ao_to_mo_bi_ortho(ao_one_e_integrals_tc_tot, ao_num, mo_bi_ortho_tc_one_e, mo_num)
|
||||
|
||||
|
@ -1,34 +1,51 @@
|
||||
BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu, ( mo_num, mo_num,n_points_final_grid)]
|
||||
implicit none
|
||||
|
||||
! ---
|
||||
|
||||
! TODO :: optimization : transform into a DGEMM
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu, (mo_num, mo_num, n_points_final_grid)]
|
||||
|
||||
BEGIN_DOC
|
||||
! mo_v_ki_bi_ortho_erf_rk_cst_mu(k,i,ip) = int dr chi_k(r) phi_i(r) (erf(mu |r - R_ip|) - 1 )/(2|r - R_ip|) on the BI-ORTHO MO basis
|
||||
!
|
||||
! where phi_k(r) is a LEFT MOs and phi_i(r) is a RIGHT MO
|
||||
!
|
||||
! R_ip = the "ip"-th point of the DFT Grid
|
||||
!
|
||||
! mo_v_ki_bi_ortho_erf_rk_cst_mu(k,i,ip) = int dr chi_k(r) phi_i(r) (erf(mu |r - R_ip|) - 1 )/(2|r - R_ip|) on the BI-ORTHO MO basis
|
||||
!
|
||||
! where phi_k(r) is a LEFT MOs and phi_i(r) is a RIGHT MO
|
||||
!
|
||||
! R_ip = the "ip"-th point of the DFT Grid
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (ipoint) &
|
||||
!$OMP SHARED (n_points_final_grid,v_ij_erf_rk_cst_mu,mo_v_ki_bi_ortho_erf_rk_cst_mu)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
! TODO :: optimization : transform into a DGEMM
|
||||
do ipoint = 1, n_points_final_grid
|
||||
call ao_to_mo_bi_ortho(v_ij_erf_rk_cst_mu(1,1,ipoint),size(v_ij_erf_rk_cst_mu,1),mo_v_ki_bi_ortho_erf_rk_cst_mu(1,1,ipoint),size(mo_v_ki_bi_ortho_erf_rk_cst_mu,1))
|
||||
call ao_to_mo_bi_ortho( v_ij_erf_rk_cst_mu (1,1,ipoint), size(v_ij_erf_rk_cst_mu, 1) &
|
||||
, mo_v_ki_bi_ortho_erf_rk_cst_mu(1,1,ipoint), size(mo_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
mo_v_ki_bi_ortho_erf_rk_cst_mu = mo_v_ki_bi_ortho_erf_rk_cst_mu * 0.5d0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_points_final_grid, mo_num, mo_num)]
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu_transp, ( n_points_final_grid,mo_num, mo_num)]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/(2|r - R|) on the BI-ORTHO MO basis
|
||||
!
|
||||
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/(2|r - R|) on the BI-ORTHO MO basis
|
||||
!
|
||||
END_DOC
|
||||
integer :: ipoint,i,j
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do ipoint = 1, n_points_final_grid
|
||||
@ -36,46 +53,146 @@ BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu_transp, ( n_po
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
! FREE mo_v_ki_bi_ortho_erf_rk_cst_mu
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_x_v_ki_bi_ortho_erf_rk_cst_mu, ( mo_num, mo_num,3,n_points_final_grid)]
|
||||
implicit none
|
||||
! ---
|
||||
|
||||
! TODO :: optimization : transform into a DGEMM
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_x_v_ki_bi_ortho_erf_rk_cst_mu, (mo_num, mo_num, 3, n_points_final_grid)]
|
||||
|
||||
BEGIN_DOC
|
||||
! mo_x_v_ki_bi_ortho_erf_rk_cst_mu(k,i,m,ip) = int dr x(m) * chi_k(r) phi_i(r) (erf(mu |r - R_ip|) - 1)/2|r - R_ip| on the BI-ORTHO MO basis
|
||||
!
|
||||
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => x(m) = x, m=2 => x(m) = y, m=3 => x(m) = z,
|
||||
!
|
||||
! R_ip = the "ip"-th point of the DFT Grid
|
||||
!
|
||||
! mo_x_v_ki_bi_ortho_erf_rk_cst_mu(k,i,m,ip) = int dr x(m) * chi_k(r) phi_i(r) (erf(mu |r - R_ip|) - 1)/2|r - R_ip| on the BI-ORTHO MO basis
|
||||
!
|
||||
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => x(m) = x, m=2 => x(m) = y, m=3 => x(m) = z,
|
||||
!
|
||||
! R_ip = the "ip"-th point of the DFT Grid
|
||||
!
|
||||
END_DOC
|
||||
integer :: ipoint,m
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (ipoint,m) &
|
||||
!$OMP PRIVATE (ipoint) &
|
||||
!$OMP SHARED (n_points_final_grid,x_v_ij_erf_rk_cst_mu_transp,mo_x_v_ki_bi_ortho_erf_rk_cst_mu)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
! TODO :: optimization : transform into a DGEMM
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do m = 1, 3
|
||||
call ao_to_mo_bi_ortho(x_v_ij_erf_rk_cst_mu_transp(1,1,m,ipoint),size(x_v_ij_erf_rk_cst_mu_transp,1),mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,m,ipoint),size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu,1))
|
||||
enddo
|
||||
|
||||
call ao_to_mo_bi_ortho( x_v_ij_erf_rk_cst_mu_transp (1,1,1,ipoint), size(x_v_ij_erf_rk_cst_mu_transp, 1) &
|
||||
, mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,1,ipoint), size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
|
||||
call ao_to_mo_bi_ortho( x_v_ij_erf_rk_cst_mu_transp (1,1,2,ipoint), size(x_v_ij_erf_rk_cst_mu_transp, 1) &
|
||||
, mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,2,ipoint), size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
|
||||
call ao_to_mo_bi_ortho( x_v_ij_erf_rk_cst_mu_transp (1,1,3,ipoint), size(x_v_ij_erf_rk_cst_mu_transp, 1) &
|
||||
, mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,3,ipoint), size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
|
||||
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
mo_x_v_ki_bi_ortho_erf_rk_cst_mu = 0.5d0 * mo_x_v_ki_bi_ortho_erf_rk_cst_mu
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
BEGIN_PROVIDER [ double precision, mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_points_final_grid, 3, mo_num, mo_num)]
|
||||
|
||||
BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3, n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m, ipoint
|
||||
integer :: i, j, ipoint
|
||||
double precision :: wall0, wall1
|
||||
|
||||
call wall_time(wall0)
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do i = 1, ao_num
|
||||
do j = 1, ao_num
|
||||
int2_grad1_u12_ao_transp(j,i,1,ipoint) = int2_grad1_u12_ao(1,j,i,ipoint)
|
||||
int2_grad1_u12_ao_transp(j,i,2,ipoint) = int2_grad1_u12_ao(2,j,i,ipoint)
|
||||
int2_grad1_u12_ao_transp(j,i,3,ipoint) = int2_grad1_u12_ao(3,j,i,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for int2_grad1_u12_ao_transp ', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_transp, (mo_num, mo_num, 3, n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (ipoint) &
|
||||
!$OMP SHARED (n_points_final_grid,int2_grad1_u12_ao_transp,int2_grad1_u12_bimo_transp)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do ipoint = 1, n_points_final_grid
|
||||
call ao_to_mo_bi_ortho( int2_grad1_u12_ao_transp (1,1,1,ipoint), size(int2_grad1_u12_ao_transp , 1) &
|
||||
, int2_grad1_u12_bimo_transp(1,1,1,ipoint), size(int2_grad1_u12_bimo_transp, 1) )
|
||||
call ao_to_mo_bi_ortho( int2_grad1_u12_ao_transp (1,1,2,ipoint), size(int2_grad1_u12_ao_transp , 1) &
|
||||
, int2_grad1_u12_bimo_transp(1,1,2,ipoint), size(int2_grad1_u12_bimo_transp, 1) )
|
||||
call ao_to_mo_bi_ortho( int2_grad1_u12_ao_transp (1,1,3,ipoint), size(int2_grad1_u12_ao_transp , 1) &
|
||||
, int2_grad1_u12_bimo_transp(1,1,3,ipoint), size(int2_grad1_u12_bimo_transp, 1) )
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo, (3, mo_num, mo_num, n_points_final_grid)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! int2_grad1_u12_bimo(:,k,i,ipoint) = \int dr2 [-1 * \grad_r1 J(r1,r2)] \chi_k(r2) \phi_i(r2)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (ipoint) &
|
||||
!$OMP SHARED (n_points_final_grid,int2_grad1_u12_ao,int2_grad1_u12_bimo)
|
||||
!$OMP DO SCHEDULE (dynamic)
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
call ao_to_mo_bi_ortho( int2_grad1_u12_ao (1,1,1,ipoint), size(int2_grad1_u12_ao , 2) &
|
||||
, int2_grad1_u12_bimo(1,1,1,ipoint), size(int2_grad1_u12_bimo, 2) )
|
||||
call ao_to_mo_bi_ortho( int2_grad1_u12_ao (2,1,1,ipoint), size(int2_grad1_u12_ao , 2) &
|
||||
, int2_grad1_u12_bimo(2,1,1,ipoint), size(int2_grad1_u12_bimo, 2) )
|
||||
call ao_to_mo_bi_ortho( int2_grad1_u12_ao (3,1,1,ipoint), size(int2_grad1_u12_ao , 2) &
|
||||
, int2_grad1_u12_bimo(3,1,1,ipoint), size(int2_grad1_u12_bimo, 2) )
|
||||
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_points_final_grid, 3, mo_num, mo_num)]
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, 3
|
||||
do ipoint = 1, n_points_final_grid
|
||||
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,m,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,m,ipoint)
|
||||
enddo
|
||||
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,1,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,1,ipoint)
|
||||
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,2,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,2,ipoint)
|
||||
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,3,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,3,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -83,14 +200,15 @@ END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
||||
BEGIN_PROVIDER [ double precision, x_W_ki_bi_ortho_erf_rk, (n_points_final_grid, 3, mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
! x_W_ki_bi_ortho_erf_rk(ip,m,k,i) = \int dr chi_k(r) (1 - erf(mu |r-R_ip|)) (x(m)-X(m)_ip) phi_i(r) ON THE BI-ORTHO MO BASIS
|
||||
!
|
||||
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => X(m) = x, m=2 => X(m) = y, m=3 => X(m) = z,
|
||||
!
|
||||
! R_ip = the "ip"-th point of the DFT Grid
|
||||
!
|
||||
! x_W_ki_bi_ortho_erf_rk(ip,m,k,i) = \int dr chi_k(r) \frac{(1 - erf(mu |r-R_ip|))}{2|r-R_ip|} (x(m)-R_ip(m)) phi_i(r) ON THE BI-ORTHO MO BASIS
|
||||
!
|
||||
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => X(m) = x, m=2 => X(m) = y, m=3 => X(m) = z,
|
||||
!
|
||||
! R_ip = the "ip"-th point of the DFT Grid
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
@ -100,7 +218,7 @@ BEGIN_PROVIDER [ double precision, x_W_ki_bi_ortho_erf_rk, (n_points_final_grid,
|
||||
double precision :: xyz
|
||||
double precision :: wall0, wall1
|
||||
|
||||
print*,'providing x_W_ki_bi_ortho_erf_rk ...'
|
||||
print*, ' providing x_W_ki_bi_ortho_erf_rk ...'
|
||||
call wall_time(wall0)
|
||||
|
||||
!$OMP PARALLEL &
|
||||
@ -126,7 +244,7 @@ BEGIN_PROVIDER [ double precision, x_W_ki_bi_ortho_erf_rk, (n_points_final_grid,
|
||||
! FREE mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'time to provide x_W_ki_bi_ortho_erf_rk = ',wall1 - wall0
|
||||
print *, ' time to provide x_W_ki_bi_ortho_erf_rk = ', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
|
@ -1,20 +1,28 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the direct terms
|
||||
!
|
||||
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|mji>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the direct terms
|
||||
!
|
||||
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|mji>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_direct_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_3_idx_direct_bi_ort ...'
|
||||
print *, ' Providing the three_e_3_idx_direct_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -23,15 +31,13 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = j, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,m,j,i,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, m, j, i, integral)
|
||||
three_e_3_idx_direct_bi_ort(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_3_idx_direct_bi_ort',wall1 - wall0
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
@ -41,25 +47,35 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for three_e_3_idx_direct_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the first cyclic permutation
|
||||
!
|
||||
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|jim>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the first cyclic permutation
|
||||
!
|
||||
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|jim>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_cycle_1_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_3_idx_cycle_1_bi_ort ...'
|
||||
print *, ' Providing the three_e_3_idx_cycle_1_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -68,14 +84,13 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = j, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,j,i,m,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, j, i, m, integral)
|
||||
three_e_3_idx_cycle_1_bi_ort(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
call wall_time(wall1)
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
@ -84,27 +99,36 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
print*,'wall time for three_e_3_idx_cycle_1_bi_ort',wall1 - wall0
|
||||
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for three_e_3_idx_cycle_1_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the second cyclic permutation
|
||||
!
|
||||
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|imj>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the second cyclic permutation
|
||||
!
|
||||
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|imj>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_cycle_2_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_3_idx_cycle_2_bi_ort ...'
|
||||
print *, ' Providing the three_e_3_idx_cycle_2_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -113,14 +137,14 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = j, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,i,m,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, i, m, j, integral)
|
||||
three_e_3_idx_cycle_2_bi_ort(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
call wall_time(wall1)
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, j
|
||||
@ -128,27 +152,36 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
print*,'wall time for three_e_3_idx_cycle_2_bi_ort',wall1 - wall0
|
||||
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for three_e_3_idx_cycle_2_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 2 and 3
|
||||
!
|
||||
! three_e_3_idx_exch23_bi_ort(m,j,i) = <mji|-L|jmi>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 2 and 3
|
||||
!
|
||||
! three_e_3_idx_exch23_bi_ort(m,j,i) = <mji|-L|jmi>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_exch23_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_3_idx_exch23_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -157,13 +190,14 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num,
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = j, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,j,m,i,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, j, m, i, integral)
|
||||
three_e_3_idx_exch23_bi_ort(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, j
|
||||
@ -171,28 +205,36 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_3_idx_exch23_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_3_idx_exch23_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 3
|
||||
!
|
||||
! three_e_3_idx_exch13_bi_ort(m,j,i) = <mji|-L|ijm>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 3
|
||||
!
|
||||
! three_e_3_idx_exch13_bi_ort(m,j,i) = <mji|-L|ijm>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i,j,m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_exch13_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_3_idx_exch13_bi_ort ...'
|
||||
print *, ' Providing the three_e_3_idx_exch13_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -201,13 +243,14 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num,
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = j, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,i,j,m,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, i, j, m,integral)
|
||||
three_e_3_idx_exch13_bi_ort(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, j
|
||||
@ -215,28 +258,36 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_3_idx_exch13_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_3_idx_exch13_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 2
|
||||
!
|
||||
! three_e_3_idx_exch12_bi_ort(m,j,i) = <mji|-L|mij>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 2
|
||||
!
|
||||
! three_e_3_idx_exch12_bi_ort(m,j,i) = <mji|-L|mij>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_exch12_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_3_idx_exch12_bi_ort ...'
|
||||
print *, ' Providing the three_e_3_idx_exch12_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -245,36 +296,43 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num,
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,m,i,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, m, i, j, integral)
|
||||
three_e_3_idx_exch12_bi_ort(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_3_idx_exch12_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_3_idx_exch12_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 2
|
||||
!
|
||||
! three_e_3_idx_exch12_bi_ort_new(m,j,i) = <mji|-L|mij>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 2
|
||||
!
|
||||
! three_e_3_idx_exch12_bi_ort_new(m,j,i) = <mji|-L|mij>
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_3_idx_exch12_bi_ort_new = 0.d0
|
||||
print*,'Providing the three_e_3_idx_exch12_bi_ort_new ...'
|
||||
print *, ' Providing the three_e_3_idx_exch12_bi_ort_new ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,m,integral) &
|
||||
@ -283,13 +341,14 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = j, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,i,m,i,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, i, m, i, j, integral)
|
||||
three_e_3_idx_exch12_bi_ort_new(m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
do i = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, j
|
||||
@ -297,8 +356,11 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_3_idx_exch12_bi_ort_new',wall1 - wall0
|
||||
print *, ' wall time for three_e_3_idx_exch12_bi_ort_new', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,19 +1,28 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_4_idx_direct_bi_ort(m,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_4_idx_direct_bi_ort(m,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_4_idx_direct_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_4_idx_direct_bi_ort ...'
|
||||
print *, ' Providing the three_e_4_idx_direct_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,integral) &
|
||||
@ -23,7 +32,7 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort, (mo_num, mo_num,
|
||||
do k = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,k,m,j,i,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, k, m, j, i, integral)
|
||||
three_e_4_idx_direct_bi_ort(m,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -31,27 +40,36 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_4_idx_direct_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_4_idx_direct_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_4_idx_cycle_1_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_4_idx_cycle_1_bi_ort ...'
|
||||
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,integral) &
|
||||
@ -61,7 +79,7 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num
|
||||
do k = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,k,j,i,m,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, k, j, i, m, integral)
|
||||
three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -69,28 +87,36 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_4_idx_cycle_1_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_4_idx_cycle_1_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! --
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = <mjk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = <mjk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_4_idx_cycle_2_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_4_idx_cycle_2_bi_ort ...'
|
||||
print *, ' Providing the three_e_4_idx_cycle_2_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,integral) &
|
||||
@ -100,7 +126,7 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort, (mo_num, mo_num
|
||||
do k = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,k,i,m,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, k, i, m, j, integral)
|
||||
three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -108,27 +134,36 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort, (mo_num, mo_num
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_4_idx_cycle_2_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_4_idx_cycle_2_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_4_idx_exch23_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_4_idx_exch23_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_4_idx_exch23_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_4_idx_exch23_bi_ort ...'
|
||||
print *, ' Providing the three_e_4_idx_exch23_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,integral) &
|
||||
@ -138,7 +173,7 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort, (mo_num, mo_num,
|
||||
do k = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,k,j,m,i,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, k, j, m, i, integral)
|
||||
three_e_4_idx_exch23_bi_ort(m,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -146,27 +181,35 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_4_idx_exch23_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_4_idx_exch23_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_4_idx_exch13_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_4_idx_exch13_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
END_DOC
|
||||
integer :: i,j,k,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_4_idx_exch13_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_4_idx_exch13_bi_ort ...'
|
||||
print *, ' Providing the three_e_4_idx_exch13_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,integral) &
|
||||
@ -176,7 +219,7 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort, (mo_num, mo_num,
|
||||
do k = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,k,i,j,m,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, k, i, j, m, integral)
|
||||
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -184,27 +227,36 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_4_idx_exch13_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_4_idx_exch13_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_4_idx_exch12_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_4_idx_exch12_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_4_idx_exch12_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_4_idx_exch12_bi_ort ...'
|
||||
print *, ' Providing the three_e_4_idx_exch12_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,integral) &
|
||||
@ -214,7 +266,7 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort, (mo_num, mo_num,
|
||||
do k = 1, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,j,k,m,i,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, j, k, m, i, j, integral)
|
||||
three_e_4_idx_exch12_bi_ort(m,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -222,7 +274,11 @@ BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_4_idx_exch12_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_4_idx_exch12_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,19 +1,27 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_5_idx_direct_bi_ort(m,l,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_5_idx_direct_bi_ort(m,l,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
END_DOC
|
||||
integer :: i,j,k,m,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m, l
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_5_idx_direct_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_5_idx_direct_bi_ort ...'
|
||||
print *, ' Providing the three_e_5_idx_direct_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,l,integral) &
|
||||
@ -24,7 +32,7 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort, (mo_num, mo_num,
|
||||
do j = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,l,k,m,j,i,integral)
|
||||
call give_integrals_3_body_bi_ort(m, l, k, m, j, i, integral)
|
||||
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -33,27 +41,36 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_5_idx_direct_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_5_idx_direct_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = <mlk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = <mlk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m, l
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_5_idx_cycle_1_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_5_idx_cycle_1_bi_ort ...'
|
||||
print *, ' Providing the three_e_5_idx_cycle_1_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,l,integral) &
|
||||
@ -64,7 +81,7 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, mo_num
|
||||
do j = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,l,k,j,i,m,integral)
|
||||
call give_integrals_3_body_bi_ort(m, l, k, j, i, m, integral)
|
||||
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -73,28 +90,36 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, mo_num
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_5_idx_cycle_1_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_5_idx_cycle_1_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = <mlk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = <mlk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m, l
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_5_idx_cycle_2_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_5_idx_cycle_2_bi_ort ...'
|
||||
print *, ' Providing the three_e_5_idx_cycle_2_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,l,integral) &
|
||||
@ -105,7 +130,7 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort, (mo_num, mo_num
|
||||
do j = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,l,k,i,m,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, l, k, i, m, j, integral)
|
||||
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -114,27 +139,36 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort, (mo_num, mo_num
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_5_idx_cycle_2_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_5_idx_cycle_2_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m, l
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_5_idx_exch23_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_5_idx_exch23_bi_ort ...'
|
||||
print *, ' Providing the three_e_5_idx_exch23_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,l,integral) &
|
||||
@ -145,7 +179,7 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort, (mo_num, mo_num,
|
||||
do j = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,l,k,j,m,i,integral)
|
||||
call give_integrals_3_body_bi_ort(m, l, k, j, m, i, integral)
|
||||
three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -154,27 +188,36 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_5_idx_exch23_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_5_idx_exch23_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m, l
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_5_idx_exch13_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_5_idx_exch13_bi_ort ...'
|
||||
print *, ' Providing the three_e_5_idx_exch13_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,l,integral) &
|
||||
@ -185,7 +228,7 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort, (mo_num, mo_num,
|
||||
do j = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,l,k,i,j,m,integral)
|
||||
call give_integrals_3_body_bi_ort(m, l, k, i, j, m, integral)
|
||||
three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -194,27 +237,36 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_5_idx_exch13_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_5_idx_exch13_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
!three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
|
||||
!
|
||||
! three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
|
||||
!
|
||||
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,m,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, m, l
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_e_5_idx_exch12_bi_ort = 0.d0
|
||||
print*,'Providing the three_e_5_idx_exch12_bi_ort ...'
|
||||
print *, ' Providing the three_e_5_idx_exch12_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,m,l,integral) &
|
||||
@ -225,7 +277,7 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort, (mo_num, mo_num,
|
||||
do j = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do m = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(m,l,k,m,i,j,integral)
|
||||
call give_integrals_3_body_bi_ort(m, l, k, m, i, j, integral)
|
||||
three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -234,7 +286,11 @@ BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort, (mo_num, mo_num,
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_e_5_idx_exch12_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_e_5_idx_exch12_bi_ort', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,17 +1,24 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! matrix element of the -L three-body operator
|
||||
!
|
||||
! notice the -1 sign: in this way three_body_ints_bi_ort can be directly used to compute Slater rules :)
|
||||
END_DOC
|
||||
integer :: i,j,k,l,m,n
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, l, m, n
|
||||
double precision :: integral, wall1, wall0
|
||||
character*(128) :: name_file
|
||||
|
||||
three_body_ints_bi_ort = 0.d0
|
||||
print*,'Providing the three_body_ints_bi_ort ...'
|
||||
call wall_time(wall0)
|
||||
name_file = 'six_index_tensor'
|
||||
|
||||
! if(read_three_body_ints_bi_ort)then
|
||||
! call read_fcidump_3_tc(three_body_ints_bi_ort)
|
||||
! else
|
||||
@ -19,7 +26,10 @@ BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_n
|
||||
! print*,'Reading three_body_ints_bi_ort from disk ...'
|
||||
! call read_array_6_index_tensor(mo_num,three_body_ints_bi_ort,name_file)
|
||||
! else
|
||||
provide x_W_ki_bi_ortho_erf_rk mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!provide x_W_ki_bi_ortho_erf_rk
|
||||
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,j,k,l,m,n,integral) &
|
||||
@ -31,7 +41,8 @@ BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_n
|
||||
do k = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do n = 1, mo_num
|
||||
call give_integrals_3_body_bi_ort(n,l,k,m,j,i,integral)
|
||||
call give_integrals_3_body_bi_ort(n, l, k, m, j, i, integral)
|
||||
|
||||
three_body_ints_bi_ort(n,l,k,m,j,i) = -1.d0 * integral
|
||||
enddo
|
||||
enddo
|
||||
@ -43,8 +54,9 @@ BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_n
|
||||
!$OMP END PARALLEL
|
||||
! endif
|
||||
! endif
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time for three_body_ints_bi_ort',wall1 - wall0
|
||||
print *, ' wall time for three_body_ints_bi_ort', wall1 - wall0
|
||||
! if(write_three_body_ints_bi_ort)then
|
||||
! print*,'Writing three_body_ints_bi_ort on disk ...'
|
||||
! call write_array_6_index_tensor(mo_num,three_body_ints_bi_ort,name_file)
|
||||
@ -53,26 +65,68 @@ BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_n
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
subroutine give_integrals_3_body_bi_ort(n,l,k,m,j,i,integral)
|
||||
implicit none
|
||||
double precision, intent(out) :: integral
|
||||
integer, intent(in) :: n,l,k,m,j,i
|
||||
double precision :: weight
|
||||
! ---
|
||||
|
||||
subroutine give_integrals_3_body_bi_ort(n, l, k, m, j, i, integral)
|
||||
|
||||
BEGIN_DOC
|
||||
! <n l k|-L|m j i> with a BI ORTHONORMAL ORBITALS
|
||||
!
|
||||
! < n l k | -L | m j i > with a BI-ORTHONORMAL ORBITALS
|
||||
!
|
||||
END_DOC
|
||||
integer :: ipoint,mm
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: n, l, k, m, j, i
|
||||
double precision, intent(out) :: integral
|
||||
integer :: ipoint
|
||||
double precision :: weight
|
||||
|
||||
integral = 0.d0
|
||||
do mm = 1, 3
|
||||
do ipoint = 1, n_points_final_grid
|
||||
weight = final_weight_at_r_vector(ipoint)
|
||||
integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
|
||||
* x_W_ki_bi_ortho_erf_rk(ipoint,mm,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,mm,l,j)
|
||||
integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
|
||||
* x_W_ki_bi_ortho_erf_rk(ipoint,mm,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,mm,k,i)
|
||||
integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
|
||||
* x_W_ki_bi_ortho_erf_rk(ipoint,mm,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,mm,k,i)
|
||||
enddo
|
||||
enddo
|
||||
end
|
||||
|
||||
! integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
|
||||
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,1,l,j) &
|
||||
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,2,l,j) &
|
||||
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,3,l,j) )
|
||||
! integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
|
||||
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,1,k,i) &
|
||||
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,2,k,i) &
|
||||
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,3,k,i) )
|
||||
! integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
|
||||
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,1,k,i) &
|
||||
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,2,k,i) &
|
||||
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,3,k,i) )
|
||||
|
||||
! integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
|
||||
! * ( int2_grad1_u12_bimo(1,n,m,ipoint) * int2_grad1_u12_bimo(1,l,j,ipoint) &
|
||||
! + int2_grad1_u12_bimo(2,n,m,ipoint) * int2_grad1_u12_bimo(2,l,j,ipoint) &
|
||||
! + int2_grad1_u12_bimo(3,n,m,ipoint) * int2_grad1_u12_bimo(3,l,j,ipoint) )
|
||||
! integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
|
||||
! * ( int2_grad1_u12_bimo(1,n,m,ipoint) * int2_grad1_u12_bimo(1,k,i,ipoint) &
|
||||
! + int2_grad1_u12_bimo(2,n,m,ipoint) * int2_grad1_u12_bimo(2,k,i,ipoint) &
|
||||
! + int2_grad1_u12_bimo(3,n,m,ipoint) * int2_grad1_u12_bimo(3,k,i,ipoint) )
|
||||
! integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
|
||||
! * ( int2_grad1_u12_bimo(1,l,j,ipoint) * int2_grad1_u12_bimo(1,k,i,ipoint) &
|
||||
! + int2_grad1_u12_bimo(2,l,j,ipoint) * int2_grad1_u12_bimo(2,k,i,ipoint) &
|
||||
! + int2_grad1_u12_bimo(3,l,j,ipoint) * int2_grad1_u12_bimo(3,k,i,ipoint) )
|
||||
|
||||
integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
|
||||
* ( int2_grad1_u12_bimo_transp(n,m,1,ipoint) * int2_grad1_u12_bimo_transp(l,j,1,ipoint) &
|
||||
+ int2_grad1_u12_bimo_transp(n,m,2,ipoint) * int2_grad1_u12_bimo_transp(l,j,2,ipoint) &
|
||||
+ int2_grad1_u12_bimo_transp(n,m,3,ipoint) * int2_grad1_u12_bimo_transp(l,j,3,ipoint) )
|
||||
integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
|
||||
* ( int2_grad1_u12_bimo_transp(n,m,1,ipoint) * int2_grad1_u12_bimo_transp(k,i,1,ipoint) &
|
||||
+ int2_grad1_u12_bimo_transp(n,m,2,ipoint) * int2_grad1_u12_bimo_transp(k,i,2,ipoint) &
|
||||
+ int2_grad1_u12_bimo_transp(n,m,3,ipoint) * int2_grad1_u12_bimo_transp(k,i,3,ipoint) )
|
||||
integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
|
||||
* ( int2_grad1_u12_bimo_transp(l,j,1,ipoint) * int2_grad1_u12_bimo_transp(k,i,1,ipoint) &
|
||||
+ int2_grad1_u12_bimo_transp(l,j,2,ipoint) * int2_grad1_u12_bimo_transp(k,i,2,ipoint) &
|
||||
+ int2_grad1_u12_bimo_transp(l,j,3,ipoint) * int2_grad1_u12_bimo_transp(k,i,3,ipoint) )
|
||||
|
||||
enddo
|
||||
|
||||
end subroutine give_integrals_3_body_bi_ort
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,38 +1,77 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, ao_two_e_tc_tot, (ao_num, ao_num, ao_num, ao_num) ]
|
||||
integer :: i,j,k,l
|
||||
|
||||
BEGIN_DOC
|
||||
! ao_two_e_tc_tot(k,i,l,j) = (ki|V^TC(r_12)|lj) = <lk| V^TC(r_12) |ji> where V^TC(r_12) is the total TC operator
|
||||
!
|
||||
! including both hermitian and non hermitian parts. THIS IS IN CHEMIST NOTATION.
|
||||
!
|
||||
! WARNING :: non hermitian ! acts on "the right functions" (i,j)
|
||||
!
|
||||
! ao_two_e_tc_tot(k,i,l,j) = (ki|V^TC(r_12)|lj) = <lk| V^TC(r_12) |ji> where V^TC(r_12) is the total TC operator
|
||||
!
|
||||
! including both hermitian and non hermitian parts. THIS IS IN CHEMIST NOTATION.
|
||||
!
|
||||
! WARNING :: non hermitian ! acts on "the right functions" (i,j)
|
||||
!
|
||||
END_DOC
|
||||
double precision :: integral_sym, integral_nsym, get_ao_tc_sym_two_e_pot
|
||||
PROVIDE ao_tc_sym_two_e_pot_in_map
|
||||
|
||||
integer :: i, j, k, l
|
||||
double precision :: integral_sym, integral_nsym
|
||||
double precision, external :: get_ao_tc_sym_two_e_pot
|
||||
|
||||
provide j1b_type
|
||||
|
||||
if(j1b_type .eq. 3) then
|
||||
|
||||
do j = 1, ao_num
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
integral_sym = get_ao_tc_sym_two_e_pot(i,j,k,l,ao_tc_sym_two_e_pot_map)
|
||||
ao_two_e_tc_tot(k,i,l,j) = ao_tc_int_chemist(k,i,l,j)
|
||||
!write(222,*) ao_two_e_tc_tot(k,i,l,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
else
|
||||
|
||||
PROVIDE ao_tc_sym_two_e_pot_in_map
|
||||
|
||||
do j = 1, ao_num
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
|
||||
integral_sym = get_ao_tc_sym_two_e_pot(i, j, k, l, ao_tc_sym_two_e_pot_map)
|
||||
! ao_non_hermit_term_chemist(k,i,l,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the AO basis
|
||||
integral_nsym = ao_non_hermit_term_chemist(k,i,l,j)
|
||||
|
||||
ao_two_e_tc_tot(k,i,l,j) = integral_sym + integral_nsym
|
||||
!write(111,*) ao_two_e_tc_tot(k,i,l,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
double precision function bi_ortho_mo_ints(l, k, j, i)
|
||||
|
||||
double precision function bi_ortho_mo_ints(l,k,j,i)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! <mo^L_k mo^L_l | V^TC(r_12) | mo^R_i mo^R_j>
|
||||
!
|
||||
! WARNING :: very naive, super slow, only used to DEBUG.
|
||||
!
|
||||
! <mo^L_k mo^L_l | V^TC(r_12) | mo^R_i mo^R_j>
|
||||
!
|
||||
! WARNING :: very naive, super slow, only used to DEBUG.
|
||||
!
|
||||
END_DOC
|
||||
integer, intent(in) :: i,j,k,l
|
||||
integer :: m,n,p,q
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: i, j, k, l
|
||||
integer :: m, n, p, q
|
||||
|
||||
bi_ortho_mo_ints = 0.d0
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
@ -45,22 +84,27 @@ double precision function bi_ortho_mo_ints(l,k,j,i)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
end
|
||||
end function bi_ortho_mo_ints
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! mo_bi_ortho_tc_two_e_chemist(k,i,l,j) = <k l|V(r_12)|i j> where i,j are right MOs and k,l are left MOs
|
||||
END_DOC
|
||||
integer :: i,j,k,l,m,n,p,q
|
||||
double precision, allocatable :: mo_tmp_1(:,:,:,:),mo_tmp_2(:,:,:,:),mo_tmp_3(:,:,:,:)
|
||||
! TODO :: transform into DEGEMM
|
||||
|
||||
!! TODO :: transform into DEGEMM
|
||||
BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num, mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! mo_bi_ortho_tc_two_e_chemist(k,i,l,j) = <k l|V(r_12)|i j> where i,j are right MOs and k,l are left MOs
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, l, m, n, p, q
|
||||
double precision, allocatable :: mo_tmp_1(:,:,:,:), mo_tmp_2(:,:,:,:)
|
||||
|
||||
allocate(mo_tmp_1(mo_num,ao_num,ao_num,ao_num))
|
||||
mo_tmp_1 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
@ -73,8 +117,10 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
allocate(mo_tmp_2(mo_num,mo_num,ao_num,ao_num))
|
||||
mo_tmp_2 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
@ -88,6 +134,7 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_1)
|
||||
|
||||
allocate(mo_tmp_1(mo_num,mo_num,mo_num,ao_num))
|
||||
mo_tmp_1 = 0.d0
|
||||
do m = 1, ao_num
|
||||
@ -102,6 +149,7 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_2)
|
||||
|
||||
mo_bi_ortho_tc_two_e_chemist = 0.d0
|
||||
do m = 1, ao_num
|
||||
do j = 1, mo_num
|
||||
@ -114,25 +162,37 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num,
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_1)
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e, (mo_num, mo_num, mo_num, mo_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! mo_bi_ortho_tc_two_e(k,l,i,j) = <k l| V(r_12) |i j> where i,j are right MOs and k,l are left MOs
|
||||
!
|
||||
! the potential V(r_12) contains ALL TWO-E CONTRIBUTION OF THE TC-HAMILTONIAN
|
||||
!
|
||||
! mo_bi_ortho_tc_two_e(k,l,i,j) = <k l| V(r_12) |i j> where i,j are right MOs and k,l are left MOs
|
||||
!
|
||||
! the potential V(r_12) contains ALL TWO-E CONTRIBUTION OF THE TC-HAMILTONIAN
|
||||
!
|
||||
END_DOC
|
||||
integer :: i,j,k,l
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, l
|
||||
|
||||
do j = 1, mo_num
|
||||
do i = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
do k = 1, mo_num
|
||||
! (k i|l j) = <k l|V(r_12)|i j>
|
||||
! < k l | V12 | i j > (k i|l j)
|
||||
mo_bi_ortho_tc_two_e(k,l,i,j) = mo_bi_ortho_tc_two_e_chemist(k,i,l,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,30 +1,34 @@
|
||||
|
||||
! ---
|
||||
|
||||
subroutine ao_to_mo_bi_ortho(A_ao, LDA_ao, A_mo, LDA_mo)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! Transform A from the |AO| basis to the BI ORTHONORMAL MOS
|
||||
!
|
||||
! $C_L^\dagger.A_{ao}.C_R$ where C_L and C_R are the LEFT and RIGHT MO coefs
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: LDA_ao,LDA_mo
|
||||
integer, intent(in) :: LDA_ao, LDA_mo
|
||||
double precision, intent(in) :: A_ao(LDA_ao,ao_num)
|
||||
double precision, intent(out) :: A_mo(LDA_mo,mo_num)
|
||||
double precision, allocatable :: T(:,:)
|
||||
|
||||
allocate ( T(ao_num,mo_num) )
|
||||
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: T
|
||||
integer :: i,j,p,q
|
||||
|
||||
call dgemm('N', 'N', ao_num, mo_num, ao_num, &
|
||||
1.d0, A_ao, LDA_ao, &
|
||||
mo_r_coef, size(mo_r_coef, 1), &
|
||||
0.d0, T, size(T, 1))
|
||||
! T = A_ao x mo_r_coef
|
||||
call dgemm( 'N', 'N', ao_num, mo_num, ao_num, 1.d0 &
|
||||
, A_ao, LDA_ao, mo_r_coef, size(mo_r_coef, 1) &
|
||||
, 0.d0, T, size(T, 1) )
|
||||
|
||||
call dgemm('T', 'N', mo_num, mo_num, ao_num, &
|
||||
1.d0, mo_l_coef, size(mo_l_coef, 1), &
|
||||
T, ao_num, &
|
||||
0.d0, A_mo, size(A_mo, 1))
|
||||
! A_mo = mo_l_coef.T x T
|
||||
call dgemm( 'T', 'N', mo_num, mo_num, ao_num, 1.d0 &
|
||||
, mo_l_coef, size(mo_l_coef, 1), T, size(T, 1) &
|
||||
, 0.d0, A_mo, LDA_mo )
|
||||
|
||||
! call restore_symmetry(mo_num,mo_num,A_mo,size(A_mo,1),1.d-12)
|
||||
deallocate(T)
|
||||
@ -131,7 +135,7 @@ BEGIN_PROVIDER [ double precision, mo_l_coef, (ao_num, mo_num) ]
|
||||
IRP_ENDIF
|
||||
else
|
||||
|
||||
print*, 'mo_r_coef are mo_coef'
|
||||
print*, 'mo_l_coef are mo_coef'
|
||||
do i = 1, mo_num
|
||||
do j = 1, ao_num
|
||||
mo_l_coef(j,i) = mo_coef(j,i)
|
||||
|
512
src/non_h_ints_mu/debug_fit.irp.f
Normal file
512
src/non_h_ints_mu/debug_fit.irp.f
Normal file
@ -0,0 +1,512 @@
|
||||
|
||||
! --
|
||||
|
||||
program debug_fit
|
||||
|
||||
implicit none
|
||||
|
||||
my_grid_becke = .True.
|
||||
|
||||
my_n_pt_r_grid = 30
|
||||
my_n_pt_a_grid = 50
|
||||
!my_n_pt_r_grid = 100
|
||||
!my_n_pt_a_grid = 170
|
||||
!my_n_pt_r_grid = 150
|
||||
!my_n_pt_a_grid = 194
|
||||
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
|
||||
|
||||
PROVIDE mu_erf j1b_pen
|
||||
|
||||
!call test_j1b_nucl()
|
||||
call test_grad_j1b_nucl()
|
||||
!call test_lapl_j1b_nucl()
|
||||
|
||||
!call test_list_b2()
|
||||
!call test_list_b3()
|
||||
|
||||
call test_fit_u()
|
||||
!call test_fit_u2()
|
||||
!call test_fit_ugradu()
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_j1b_nucl()
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: r(3)
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
print*, ' test_j1b_nucl ...'
|
||||
|
||||
PROVIDE v_1b
|
||||
|
||||
eps_ij = 1d-7
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
|
||||
i_exc = v_1b(ipoint)
|
||||
i_num = j1b_nucl(r)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in v_1b on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_j1b_nucl
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_grad_j1b_nucl()
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: r(3)
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
print*, ' test_grad_j1b_nucl ...'
|
||||
|
||||
PROVIDE v_1b_grad
|
||||
|
||||
eps_ij = 1d-7
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
|
||||
i_exc = v_1b_grad(1,ipoint)
|
||||
i_num = grad_x_j1b_nucl(r)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in x of v_1b_grad on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
i_exc = v_1b_grad(2,ipoint)
|
||||
i_num = grad_y_j1b_nucl(r)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in y of v_1b_grad on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
i_exc = v_1b_grad(3,ipoint)
|
||||
i_num = grad_z_j1b_nucl(r)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in z of v_1b_grad on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_grad_j1b_nucl
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_lapl_j1b_nucl()
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: r(3)
|
||||
double precision, external :: lapl_j1b_nucl
|
||||
|
||||
print*, ' test_lapl_j1b_nucl ...'
|
||||
|
||||
PROVIDE v_1b_lapl
|
||||
|
||||
eps_ij = 1d-5
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
|
||||
i_exc = v_1b_lapl(ipoint)
|
||||
i_num = lapl_j1b_nucl(r)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in v_1b_lapl on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_lapl_j1b_nucl
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_list_b2()
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: r(3)
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
print*, ' test_list_b2 ...'
|
||||
|
||||
PROVIDE v_1b_list_b2
|
||||
|
||||
eps_ij = 1d-7
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
|
||||
i_exc = v_1b_list_b2(ipoint)
|
||||
i_num = j1b_nucl(r)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in list_b2 on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_list_b2
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_list_b3()
|
||||
|
||||
implicit none
|
||||
integer :: ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_tmp, i_num, normalz
|
||||
double precision :: r(3)
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
print*, ' test_list_b3 ...'
|
||||
|
||||
PROVIDE v_1b_list_b3
|
||||
|
||||
eps_ij = 1d-7
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
|
||||
i_exc = v_1b_list_b3(ipoint)
|
||||
i_tmp = j1b_nucl(r)
|
||||
i_num = i_tmp * i_tmp
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in list_b3 on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_list_b3
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_fit_ugradu()
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: jpoint, ipoint, i
|
||||
double precision :: i_exc, i_fit, i_num, x2, tmp, dx, dy, dz
|
||||
double precision :: r1(3), r2(3), grad(3)
|
||||
double precision :: eps_ij, acc_tot, acc_ij, normalz, coef, expo
|
||||
|
||||
double precision, external :: j12_mu
|
||||
|
||||
print*, ' test_fit_ugradu ...'
|
||||
|
||||
eps_ij = 1d-3
|
||||
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
do ipoint = 1, n_points_final_grid
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
x2 = dx * dx + dy * dy + dz * dz
|
||||
if(x2 .lt. 1d-10) cycle
|
||||
|
||||
i_fit = 0.d0
|
||||
do i = 1, n_max_fit_slat
|
||||
expo = expo_gauss_j_mu_1_erf(i)
|
||||
coef = coef_gauss_j_mu_1_erf(i)
|
||||
i_fit += coef * dexp(-expo*x2)
|
||||
enddo
|
||||
i_fit = i_fit / dsqrt(x2)
|
||||
|
||||
tmp = j12_mu(r1, r2)
|
||||
call grad1_j12_mu_exc(r1, r2, grad)
|
||||
|
||||
! ---
|
||||
|
||||
i_exc = tmp * grad(1)
|
||||
i_num = i_fit * dx
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem on x in test_fit_ugradu on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_exc)
|
||||
|
||||
! ---
|
||||
|
||||
i_exc = tmp * grad(2)
|
||||
i_num = i_fit * dy
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem on y in test_fit_ugradu on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_exc)
|
||||
|
||||
! ---
|
||||
|
||||
i_exc = tmp * grad(3)
|
||||
i_num = i_fit * dz
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem on z in test_fit_ugradu on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_exc)
|
||||
|
||||
! ---
|
||||
|
||||
enddo
|
||||
|
||||
if( (acc_tot/normalz) .gt. 1d-3 ) then
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
endif
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine test_fit_ugradu
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_fit_u()
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: jpoint, ipoint, i
|
||||
double precision :: i_exc, i_fit, i_num, x2
|
||||
double precision :: r1(3), r2(3), dx, dy, dz
|
||||
double precision :: eps_ij, acc_tot, acc_ij, normalz, coef, expo
|
||||
|
||||
double precision, external :: j12_mu
|
||||
|
||||
print*, ' test_fit_u ...'
|
||||
|
||||
eps_ij = 1d-3
|
||||
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
x2 = dx * dx + dy * dy + dz * dz
|
||||
if(x2 .lt. 1d-10) cycle
|
||||
|
||||
i_fit = 0.d0
|
||||
do i = 1, n_max_fit_slat
|
||||
expo = expo_gauss_j_mu_x(i)
|
||||
coef = coef_gauss_j_mu_x(i)
|
||||
i_fit += coef * dexp(-expo*x2)
|
||||
enddo
|
||||
|
||||
i_exc = j12_mu(r1, r2)
|
||||
i_num = i_fit
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in test_fit_u on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_exc)
|
||||
enddo
|
||||
|
||||
if( (acc_tot/normalz) .gt. 1d-3 ) then
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
endif
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine test_fit_u
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_fit_u2()
|
||||
|
||||
implicit none
|
||||
|
||||
integer :: jpoint, ipoint, i
|
||||
double precision :: i_exc, i_fit, i_num, x2
|
||||
double precision :: r1(3), r2(3), dx, dy, dz, tmp
|
||||
double precision :: eps_ij, acc_tot, acc_ij, normalz, coef, expo
|
||||
|
||||
double precision, external :: j12_mu
|
||||
|
||||
print*, ' test_fit_u2 ...'
|
||||
|
||||
eps_ij = 1d-3
|
||||
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
x2 = dx * dx + dy * dy + dz * dz
|
||||
if(x2 .lt. 1d-10) cycle
|
||||
|
||||
i_fit = 0.d0
|
||||
do i = 1, n_max_fit_slat
|
||||
expo = expo_gauss_j_mu_x_2(i)
|
||||
coef = coef_gauss_j_mu_x_2(i)
|
||||
i_fit += coef * dexp(-expo*x2)
|
||||
enddo
|
||||
|
||||
tmp = j12_mu(r1, r2)
|
||||
i_exc = tmp * tmp
|
||||
i_num = i_fit
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in test_fit_u2 on', ipoint
|
||||
print *, ' analyt = ', i_exc
|
||||
print *, ' numeri = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_exc)
|
||||
enddo
|
||||
|
||||
if( (acc_tot/normalz) .gt. 1d-3 ) then
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
endif
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine test_fit_u2
|
||||
|
||||
! ---
|
||||
|
||||
|
601
src/non_h_ints_mu/debug_integ_jmu_modif.irp.f
Normal file
601
src/non_h_ints_mu/debug_integ_jmu_modif.irp.f
Normal file
@ -0,0 +1,601 @@
|
||||
|
||||
! --
|
||||
|
||||
program debug_integ_jmu_modif
|
||||
|
||||
implicit none
|
||||
|
||||
my_grid_becke = .True.
|
||||
|
||||
!my_n_pt_r_grid = 30
|
||||
!my_n_pt_a_grid = 50
|
||||
!my_n_pt_r_grid = 100
|
||||
!my_n_pt_a_grid = 170
|
||||
my_n_pt_r_grid = 150
|
||||
my_n_pt_a_grid = 194
|
||||
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
|
||||
|
||||
PROVIDE mu_erf j1b_pen
|
||||
|
||||
call test_v_ij_u_cst_mu_j1b()
|
||||
! call test_v_ij_erf_rk_cst_mu_j1b()
|
||||
! call test_x_v_ij_erf_rk_cst_mu_j1b()
|
||||
! call test_int2_u2_j1b2()
|
||||
! call test_int2_grad1u2_grad2u2_j1b2()
|
||||
! call test_int2_u_grad1u_total_j1b2()
|
||||
!
|
||||
! call test_int2_grad1_u12_ao()
|
||||
!
|
||||
! call test_grad12_j12()
|
||||
! call test_u12sq_j1bsq()
|
||||
! call test_u12_grad1_u12_j1b_grad1_j1b()
|
||||
! !call test_gradu_squared_u_ij_mu()
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_v_ij_u_cst_mu_j1b()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_v_ij_u_cst_mu_j1b
|
||||
|
||||
print*, ' test_v_ij_u_cst_mu_j1b ...'
|
||||
|
||||
PROVIDE v_ij_u_cst_mu_j1b
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
!do ipoint = 1, 10
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = v_ij_u_cst_mu_j1b(i,j,ipoint)
|
||||
i_num = num_v_ij_u_cst_mu_j1b(i,j,ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in v_ij_u_cst_mu_j1b on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_v_ij_u_cst_mu_j1b
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_v_ij_erf_rk_cst_mu_j1b()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
print*, ' test_v_ij_erf_rk_cst_mu_j1b ...'
|
||||
|
||||
PROVIDE v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
!do ipoint = 1, 10
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = v_ij_erf_rk_cst_mu_j1b(i,j,ipoint)
|
||||
i_num = num_v_ij_erf_rk_cst_mu_j1b(i,j,ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in v_ij_erf_rk_cst_mu_j1b on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_x_v_ij_erf_rk_cst_mu_j1b()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: integ(3)
|
||||
|
||||
print*, ' test_x_v_ij_erf_rk_cst_mu_j1b ...'
|
||||
|
||||
PROVIDE x_v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
!do ipoint = 1, 10
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
call num_x_v_ij_erf_rk_cst_mu_j1b(i, j, ipoint, integ)
|
||||
|
||||
i_exc = x_v_ij_erf_rk_cst_mu_j1b(i,j,ipoint,1)
|
||||
i_num = integ(1)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in x part of x_v_ij_erf_rk_cst_mu_j1b on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
i_exc = x_v_ij_erf_rk_cst_mu_j1b(i,j,ipoint,2)
|
||||
i_num = integ(2)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in y part of x_v_ij_erf_rk_cst_mu_j1b on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
i_exc = x_v_ij_erf_rk_cst_mu_j1b(i,j,ipoint,3)
|
||||
i_num = integ(3)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in z part of x_v_ij_erf_rk_cst_mu_j1b on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_x_v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_int2_u2_j1b2()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_int2_u2_j1b2
|
||||
|
||||
print*, ' test_int2_u2_j1b2 ...'
|
||||
|
||||
PROVIDE int2_u2_j1b2
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
!do ipoint = 1, 10
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = int2_u2_j1b2(i,j,ipoint)
|
||||
i_num = num_int2_u2_j1b2(i,j,ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in int2_u2_j1b2 on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
acc_tot = acc_tot / normalz
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_int2_u2_j1b2
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_int2_grad1u2_grad2u2_j1b2()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_int2_grad1u2_grad2u2_j1b2
|
||||
|
||||
print*, ' test_int2_grad1u2_grad2u2_j1b2 ...'
|
||||
|
||||
PROVIDE int2_grad1u2_grad2u2_j1b2
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
!do ipoint = 1, 10
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = int2_grad1u2_grad2u2_j1b2(i,j,ipoint)
|
||||
i_num = num_int2_grad1u2_grad2u2_j1b2(i,j,ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in int2_grad1u2_grad2u2_j1b2 on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_int2_grad1u2_grad2u2_j1b2
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_int2_grad1_u12_ao()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: integ(3)
|
||||
|
||||
print*, ' test_int2_grad1_u12_ao ...'
|
||||
|
||||
PROVIDE int2_grad1_u12_ao
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
call num_int2_grad1_u12_ao(i, j, ipoint, integ)
|
||||
|
||||
i_exc = int2_grad1_u12_ao(1,i,j,ipoint)
|
||||
i_num = integ(1)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in x part of int2_grad1_u12_ao on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
i_exc = int2_grad1_u12_ao(2,i,j,ipoint)
|
||||
i_num = integ(2)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in y part of int2_grad1_u12_ao on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
i_exc = int2_grad1_u12_ao(3,i,j,ipoint)
|
||||
i_num = integ(3)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in z part of int2_grad1_u12_ao on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_int2_grad1_u12_ao
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_int2_u_grad1u_total_j1b2()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision :: x, y, z
|
||||
double precision :: integ(3)
|
||||
|
||||
print*, ' test_int2_u_grad1u_total_j1b2 ...'
|
||||
|
||||
PROVIDE int2_u_grad1u_j1b2
|
||||
PROVIDE int2_u_grad1u_x_j1b2
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
!do ipoint = 1, 10
|
||||
do ipoint = 1, n_points_final_grid
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
call num_int2_u_grad1u_total_j1b2(i, j, ipoint, integ)
|
||||
|
||||
i_exc = x * int2_u_grad1u_j1b2(i,j,ipoint) - int2_u_grad1u_x_j1b2(1,i,j,ipoint)
|
||||
i_num = integ(1)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in x part of int2_u_grad1u_total_j1b2 on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
i_exc = y * int2_u_grad1u_j1b2(i,j,ipoint) - int2_u_grad1u_x_j1b2(2,i,j,ipoint)
|
||||
i_num = integ(2)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in y part of int2_u_grad1u_total_j1b2 on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
i_exc = z * int2_u_grad1u_j1b2(i,j,ipoint) - int2_u_grad1u_x_j1b2(3,i,j,ipoint)
|
||||
i_num = integ(3)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in z part of int2_u_grad1u_total_j1b2 on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_int2_u_grad1u_total_j1b2
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_gradu_squared_u_ij_mu()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_gradu_squared_u_ij_mu
|
||||
|
||||
print*, ' test_gradu_squared_u_ij_mu ...'
|
||||
|
||||
PROVIDE gradu_squared_u_ij_mu
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = gradu_squared_u_ij_mu(i,j,ipoint)
|
||||
i_num = num_gradu_squared_u_ij_mu(i, j, ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in gradu_squared_u_ij_mu on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_gradu_squared_u_ij_mu
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_grad12_j12()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_grad12_j12
|
||||
|
||||
print*, ' test_grad12_j12 ...'
|
||||
|
||||
PROVIDE grad12_j12
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = grad12_j12(i,j,ipoint)
|
||||
i_num = num_grad12_j12(i, j, ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in grad12_j12 on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_grad12_j12
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_u12sq_j1bsq()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_u12sq_j1bsq
|
||||
|
||||
print*, ' test_u12sq_j1bsq ...'
|
||||
|
||||
PROVIDE u12sq_j1bsq
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = u12sq_j1bsq(i,j,ipoint)
|
||||
i_num = num_u12sq_j1bsq(i, j, ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in u12sq_j1bsq on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_u12sq_j1bsq
|
||||
|
||||
! ---
|
||||
|
||||
subroutine test_u12_grad1_u12_j1b_grad1_j1b()
|
||||
|
||||
implicit none
|
||||
integer :: i, j, ipoint
|
||||
double precision :: acc_ij, acc_tot, eps_ij, i_exc, i_num, normalz
|
||||
double precision, external :: num_u12_grad1_u12_j1b_grad1_j1b
|
||||
|
||||
print*, ' test_u12_grad1_u12_j1b_grad1_j1b ...'
|
||||
|
||||
PROVIDE u12_grad1_u12_j1b_grad1_j1b
|
||||
|
||||
eps_ij = 1d-3
|
||||
acc_tot = 0.d0
|
||||
normalz = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
i_exc = u12_grad1_u12_j1b_grad1_j1b(i,j,ipoint)
|
||||
i_num = num_u12_grad1_u12_j1b_grad1_j1b(i, j, ipoint)
|
||||
acc_ij = dabs(i_exc - i_num)
|
||||
if(acc_ij .gt. eps_ij) then
|
||||
print *, ' problem in u12_grad1_u12_j1b_grad1_j1b on', i, j, ipoint
|
||||
print *, ' analyt integ = ', i_exc
|
||||
print *, ' numeri integ = ', i_num
|
||||
print *, ' diff = ', acc_ij
|
||||
endif
|
||||
|
||||
acc_tot += acc_ij
|
||||
normalz += dabs(i_num)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
print*, ' acc_tot = ', acc_tot
|
||||
print*, ' normalz = ', normalz
|
||||
|
||||
return
|
||||
end subroutine test_u12_grad1_u12_j1b_grad1_j1b,
|
||||
|
||||
! ---
|
||||
|
@ -1,91 +0,0 @@
|
||||
BEGIN_PROVIDER [ double precision, expo_j_xmu, (n_fit_1_erf_x) ]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2) is fitted with a gaussian and a Slater
|
||||
!
|
||||
! \approx - 1/sqrt(pi) * exp(-alpha * x ) exp(-beta * x**2)
|
||||
!
|
||||
! where alpha = expo_j_xmu(1) and beta = expo_j_xmu(2)
|
||||
END_DOC
|
||||
expo_j_xmu(1) = 1.7477d0
|
||||
expo_j_xmu(2) = 0.668662d0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
BEGIN_PROVIDER [double precision, expo_gauss_j_mu_x, (n_max_fit_slat)]
|
||||
&BEGIN_PROVIDER [double precision, coef_gauss_j_mu_x, (n_max_fit_slat)]
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! J(mu,r12) = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2) is expressed as
|
||||
!
|
||||
! J(mu,r12) = 0.5/mu * F(r12*mu) where F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2)
|
||||
!
|
||||
! F(x) is fitted by - 1/sqrt(pi) * exp(-alpha * x) exp(-beta * x^2) (see expo_j_xmu)
|
||||
!
|
||||
! The slater function exp(-alpha * x) is fitted with n_max_fit_slat gaussians
|
||||
!
|
||||
! See Appendix 2 of JCP 154, 084119 (2021)
|
||||
!
|
||||
END_DOC
|
||||
integer :: i
|
||||
double precision :: expos(n_max_fit_slat),alpha,beta
|
||||
alpha = expo_j_xmu(1) * mu_erf
|
||||
call expo_fit_slater_gam(alpha,expos)
|
||||
beta = expo_j_xmu(2) * mu_erf**2.d0
|
||||
|
||||
do i = 1, n_max_fit_slat
|
||||
expo_gauss_j_mu_x(i) = expos(i) + beta
|
||||
coef_gauss_j_mu_x(i) = coef_fit_slat_gauss(i) / (2.d0 * mu_erf) * (- 1/dsqrt(dacos(-1.d0)))
|
||||
enddo
|
||||
END_PROVIDER
|
||||
|
||||
double precision function F_x_j(x)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! F_x_j(x) = dimension-less correlation factor = x (1 - erf(x)) - 1/sqrt(pi) exp(-x^2)
|
||||
END_DOC
|
||||
double precision, intent(in) :: x
|
||||
F_x_j = x * (1.d0 - derf(x)) - 1/dsqrt(dacos(-1.d0)) * dexp(-x**2)
|
||||
|
||||
end
|
||||
|
||||
double precision function j_mu_F_x_j(x)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! j_mu_F_x_j(x) = correlation factor = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2)
|
||||
!
|
||||
! = 1/(2*mu) * F_x_j(mu*x)
|
||||
END_DOC
|
||||
double precision :: F_x_j
|
||||
double precision, intent(in) :: x
|
||||
j_mu_F_x_j = 0.5d0/mu_erf * F_x_j(x*mu_erf)
|
||||
end
|
||||
|
||||
double precision function j_mu(x)
|
||||
implicit none
|
||||
double precision, intent(in) :: x
|
||||
BEGIN_DOC
|
||||
! j_mu(x) = correlation factor = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2)
|
||||
END_DOC
|
||||
j_mu = 0.5d0* x * (1.d0 - derf(mu_erf*x)) - 0.5d0/( dsqrt(dacos(-1.d0))*mu_erf) * dexp(-(mu_erf*x)*(mu_erf*x))
|
||||
|
||||
end
|
||||
|
||||
double precision function j_mu_fit_gauss(x)
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! j_mu_fit_gauss(x) = correlation factor = 1/2 r12 * (1 - erf(mu*r12)) - 1/(2 sqrt(pi)*mu) exp(-(mu*r12)^2)
|
||||
!
|
||||
! but fitted with gaussians
|
||||
END_DOC
|
||||
double precision, intent(in) :: x
|
||||
integer :: i
|
||||
double precision :: alpha,coef
|
||||
j_mu_fit_gauss = 0.d0
|
||||
do i = 1, n_max_fit_slat
|
||||
alpha = expo_gauss_j_mu_x(i)
|
||||
coef = coef_gauss_j_mu_x(i)
|
||||
j_mu_fit_gauss += coef_gauss_j_mu_x(i) * dexp(-expo_gauss_j_mu_x(i)*x*x)
|
||||
enddo
|
||||
|
||||
end
|
@ -1,36 +1,159 @@
|
||||
BEGIN_PROVIDER [ double precision, grad_1_squared_u_ij_mu, ( ao_num, ao_num,n_points_final_grid)]
|
||||
implicit none
|
||||
integer :: ipoint,i,j,m,igauss
|
||||
|
||||
! ---
|
||||
|
||||
! TODO : strong optmization : write the loops in a different way
|
||||
! : for each couple of AO, the gaussian product are done once for all
|
||||
|
||||
BEGIN_PROVIDER [ double precision, gradu_squared_u_ij_mu, (ao_num, ao_num, n_points_final_grid) ]
|
||||
|
||||
BEGIN_DOC
|
||||
! grad_1_squared_u_ij_mu(j,i,ipoint) = -1/2 \int dr2 phi_j(r2) phi_i(r2) |\grad_r1 u(r1,r2,\mu)|^2
|
||||
! |\grad_r1 u(r1,r2,\mu)|^2 = 1/4 * (1 - erf(mu*r12))^2
|
||||
! ! (1 - erf(mu*r12))^2 = \sum_i coef_gauss_1_erf_x_2(i) * exp(-expo_gauss_1_erf_x_2(i) * r12^2)
|
||||
!
|
||||
! if J(r1,r2) = u12:
|
||||
!
|
||||
! gradu_squared_u_ij_mu = -0.50 x \int r2 [ (grad_1 u12)^2 + (grad_2 u12^2)] \phi_i(2) \phi_j(2)
|
||||
! = -0.25 x \int r2 (1 - erf(mu*r12))^2 \phi_i(2) \phi_j(2)
|
||||
! and
|
||||
! (1 - erf(mu*r12))^2 = \sum_i coef_gauss_1_erf_x_2(i) * exp(-expo_gauss_1_erf_x_2(i) * r12^2)
|
||||
!
|
||||
! if J(r1,r2) = u12 x v1 x v2
|
||||
!
|
||||
! gradu_squared_u_ij_mu = -0.50 x \int r2 \phi_i(2) \phi_j(2) [ v1^2 v2^2 ((grad_1 u12)^2 + (grad_2 u12^2)]) + u12^2 v2^2 (grad_1 v1)^2 + 2 u12 v1 v2^2 (grad_1 u12) . (grad_1 v1) ]
|
||||
! = -0.25 x v1^2 \int r2 \phi_i(2) \phi_j(2) [1 - erf(mu r12)]^2 v2^2
|
||||
! + -0.50 x (grad_1 v1)^2 \int r2 \phi_i(2) \phi_j(2) u12^2 v2^2
|
||||
! + -1.00 x v1 (grad_1 v1) \int r2 \phi_i(2) \phi_j(2) (grad_1 u12) v2^2
|
||||
! = v1^2 x int2_grad1u2_grad2u2_j1b2
|
||||
! + -0.5 x (grad_1 v1)^2 x int2_u2_j1b2
|
||||
! + -1.0 X V1 x (grad_1 v1) \cdot [ int2_u_grad1u_j1b2 x r - int2_u_grad1u_x_j1b ]
|
||||
!
|
||||
!
|
||||
END_DOC
|
||||
double precision :: r(3),delta,coef
|
||||
double precision :: overlap_gauss_r12_ao,time0,time1
|
||||
print*,'providing grad_1_squared_u_ij_mu ...'
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, m, igauss
|
||||
double precision :: x, y, z, r(3), delta, coef
|
||||
double precision :: tmp_v, tmp_x, tmp_y, tmp_z
|
||||
double precision :: tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7, tmp8, tmp9
|
||||
double precision :: time0, time1
|
||||
double precision, external :: overlap_gauss_r12_ao
|
||||
|
||||
print*, ' providing gradu_squared_u_ij_mu ...'
|
||||
call wall_time(time0)
|
||||
!TODO : strong optmization : write the loops in a different way
|
||||
! : for each couple of AO, the gaussian product are done once for all
|
||||
|
||||
PROVIDE j1b_type
|
||||
|
||||
if(j1b_type .eq. 3) then
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
tmp_v = v_1b (ipoint)
|
||||
tmp_x = v_1b_grad(1,ipoint)
|
||||
tmp_y = v_1b_grad(2,ipoint)
|
||||
tmp_z = v_1b_grad(3,ipoint)
|
||||
|
||||
tmp1 = tmp_v * tmp_v
|
||||
tmp2 = -0.5d0 * (tmp_x * tmp_x + tmp_y * tmp_y + tmp_z * tmp_z)
|
||||
tmp3 = tmp_v * tmp_x
|
||||
tmp4 = tmp_v * tmp_y
|
||||
tmp5 = tmp_v * tmp_z
|
||||
|
||||
tmp6 = -x * tmp3
|
||||
tmp7 = -y * tmp4
|
||||
tmp8 = -z * tmp5
|
||||
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
tmp9 = int2_u_grad1u_j1b2(i,j,ipoint)
|
||||
|
||||
gradu_squared_u_ij_mu(i,j,ipoint) = tmp1 * int2_grad1u2_grad2u2_j1b2(i,j,ipoint) &
|
||||
+ tmp2 * int2_u2_j1b2 (i,j,ipoint) &
|
||||
+ tmp6 * tmp9 + tmp3 * int2_u_grad1u_x_j1b2(1,i,j,ipoint) &
|
||||
+ tmp7 * tmp9 + tmp4 * int2_u_grad1u_x_j1b2(2,i,j,ipoint) &
|
||||
+ tmp8 * tmp9 + tmp5 * int2_u_grad1u_x_j1b2(3,i,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
else
|
||||
|
||||
gradu_squared_u_ij_mu = 0.d0
|
||||
do ipoint = 1, n_points_final_grid
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
! \int dr2 phi_j(r2) phi_i(r2) (1 - erf(mu*r12))^2
|
||||
! = \sum_i coef_gauss_1_erf_x_2(i) \int dr2 phi_j(r2) phi_i(r2) exp(-expo_gauss_1_erf_x_2(i) * (r_1 - r_2)^2)
|
||||
do igauss = 1, n_max_fit_slat
|
||||
delta = expo_gauss_1_erf_x_2(igauss)
|
||||
coef = coef_gauss_1_erf_x_2(igauss)
|
||||
grad_1_squared_u_ij_mu(j,i,ipoint) += -0.25 * coef * overlap_gauss_r12_ao(r,delta,i,j)
|
||||
gradu_squared_u_ij_mu(i,j,ipoint) += -0.25d0 * coef * overlap_gauss_r12_ao(r, delta, i, j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
call wall_time(time1)
|
||||
print*,'Wall time for grad_1_squared_u_ij_mu = ',time1 - time0
|
||||
END_PROVIDER
|
||||
print*, ' Wall time for gradu_squared_u_ij_mu = ', time1 - time0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
!BEGIN_PROVIDER [double precision, tc_grad_square_ao, (ao_num, ao_num, ao_num, ao_num)]
|
||||
!
|
||||
! BEGIN_DOC
|
||||
! !
|
||||
! ! tc_grad_square_ao(k,i,l,j) = -1/2 <kl | |\grad_1 u(r1,r2)|^2 + |\grad_1 u(r1,r2)|^2 | ij>
|
||||
! !
|
||||
! END_DOC
|
||||
!
|
||||
! implicit none
|
||||
! integer :: ipoint, i, j, k, l
|
||||
! double precision :: weight1, ao_ik_r, ao_i_r
|
||||
! double precision, allocatable :: ac_mat(:,:,:,:)
|
||||
!
|
||||
! allocate(ac_mat(ao_num,ao_num,ao_num,ao_num))
|
||||
! ac_mat = 0.d0
|
||||
!
|
||||
! do ipoint = 1, n_points_final_grid
|
||||
! weight1 = final_weight_at_r_vector(ipoint)
|
||||
!
|
||||
! do i = 1, ao_num
|
||||
! ao_i_r = weight1 * aos_in_r_array_transp(ipoint,i)
|
||||
!
|
||||
! do k = 1, ao_num
|
||||
! ao_ik_r = ao_i_r * aos_in_r_array_transp(ipoint,k)
|
||||
!
|
||||
! do j = 1, ao_num
|
||||
! do l = 1, ao_num
|
||||
! ac_mat(k,i,l,j) += ao_ik_r * gradu_squared_u_ij_mu(l,j,ipoint)
|
||||
! enddo
|
||||
! enddo
|
||||
! enddo
|
||||
! enddo
|
||||
! enddo
|
||||
!
|
||||
! do j = 1, ao_num
|
||||
! do l = 1, ao_num
|
||||
! do i = 1, ao_num
|
||||
! do k = 1, ao_num
|
||||
! tc_grad_square_ao(k,i,l,j) = ac_mat(k,i,l,j) + ac_mat(l,j,k,i)
|
||||
! !write(11,*) tc_grad_square_ao(k,i,l,j)
|
||||
! enddo
|
||||
! enddo
|
||||
! enddo
|
||||
! enddo
|
||||
!
|
||||
! deallocate(ac_mat)
|
||||
!
|
||||
!END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, grad_1_squared_u_ij_mu_new, (n_points_final_grid, ao_num, ao_num)]
|
||||
implicit none
|
||||
@ -130,25 +253,36 @@
|
||||
|
||||
|
||||
BEGIN_PROVIDER [double precision, tc_grad_square_ao, (ao_num, ao_num, ao_num, ao_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! tc_grad_square_ao(k,i,l,j) = -1/2 <kl | |\grad_1 u(r1,r2)|^2 + |\grad_1 u(r1,r2)|^2 | ij>
|
||||
!
|
||||
END_DOC
|
||||
integer :: ipoint,i,j,k,l
|
||||
double precision :: contrib,weight1
|
||||
double precision, allocatable :: ac_mat(:,:,:,:)
|
||||
allocate(ac_mat(ao_num, ao_num, ao_num, ao_num))
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, k, l
|
||||
double precision :: weight1, ao_ik_r, ao_i_r
|
||||
double precision, allocatable :: ac_mat(:,:,:,:), bc_mat(:,:,:,:)
|
||||
|
||||
allocate(ac_mat(ao_num,ao_num,ao_num,ao_num))
|
||||
ac_mat = 0.d0
|
||||
allocate(bc_mat(ao_num,ao_num,ao_num,ao_num))
|
||||
bc_mat = 0.d0
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
weight1 = final_weight_at_r_vector(ipoint)
|
||||
|
||||
do i = 1, ao_num
|
||||
ao_i_r = weight1 * aos_in_r_array_transp(ipoint,i)
|
||||
|
||||
do k = 1, ao_num
|
||||
ao_ik_r = ao_i_r * aos_in_r_array_transp(ipoint,k)
|
||||
|
||||
do j = 1, ao_num
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
contrib = weight1 *0.5D0* (aos_in_r_array_transp(ipoint,k) * aos_in_r_array_transp(ipoint,i))
|
||||
! \int dr1 phi_k(r1) phi_i(r1) . \int dr2 |\grad_1 u(r1,r2)|^2 \phi_l(r2) \phi_j(r2)
|
||||
ac_mat(k,i,l,j) += grad_1_squared_u_ij_mu(l,j,ipoint) * contrib
|
||||
ac_mat(k,i,l,j) += ao_ik_r * ( u12sq_j1bsq(l,j,ipoint) + u12_grad1_u12_j1b_grad1_j1b(l,j,ipoint) )
|
||||
bc_mat(k,i,l,j) += ao_ik_r * grad12_j12(l,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -159,11 +293,149 @@ BEGIN_PROVIDER [double precision, tc_grad_square_ao, (ao_num, ao_num, ao_num, ao
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
tc_grad_square_ao(k,i,l,j) = ac_mat(k,i,l,j) + ac_mat(l,j,k,i)
|
||||
tc_grad_square_ao(k,i,l,j) = ac_mat(k,i,l,j) + ac_mat(l,j,k,i) + bc_mat(k,i,l,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
deallocate(ac_mat)
|
||||
deallocate(bc_mat)
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, grad12_j12, (ao_num, ao_num, n_points_final_grid) ]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, m, igauss
|
||||
double precision :: r(3), delta, coef
|
||||
double precision :: tmp1
|
||||
double precision :: time0, time1
|
||||
double precision, external :: overlap_gauss_r12_ao
|
||||
|
||||
print*, ' providing grad12_j12 ...'
|
||||
call wall_time(time0)
|
||||
|
||||
PROVIDE j1b_type
|
||||
|
||||
if(j1b_type .eq. 3) then
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
tmp1 = v_1b(ipoint)
|
||||
tmp1 = tmp1 * tmp1
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
grad12_j12(i,j,ipoint) = tmp1 * int2_grad1u2_grad2u2_j1b2(i,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
else
|
||||
|
||||
grad12_j12 = 0.d0
|
||||
do ipoint = 1, n_points_final_grid
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do igauss = 1, n_max_fit_slat
|
||||
delta = expo_gauss_1_erf_x_2(igauss)
|
||||
coef = coef_gauss_1_erf_x_2(igauss)
|
||||
grad12_j12(i,j,ipoint) += -0.25d0 * coef * overlap_gauss_r12_ao(r, delta, i, j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
call wall_time(time1)
|
||||
print*, ' Wall time for grad12_j12 = ', time1 - time0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, u12sq_j1bsq, (ao_num, ao_num, n_points_final_grid) ]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j
|
||||
double precision :: tmp_x, tmp_y, tmp_z
|
||||
double precision :: tmp1
|
||||
double precision :: time0, time1
|
||||
|
||||
print*, ' providing u12sq_j1bsq ...'
|
||||
call wall_time(time0)
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
tmp_x = v_1b_grad(1,ipoint)
|
||||
tmp_y = v_1b_grad(2,ipoint)
|
||||
tmp_z = v_1b_grad(3,ipoint)
|
||||
tmp1 = -0.5d0 * (tmp_x * tmp_x + tmp_y * tmp_y + tmp_z * tmp_z)
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
u12sq_j1bsq(i,j,ipoint) = tmp1 * int2_u2_j1b2(i,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(time1)
|
||||
print*, ' Wall time for u12sq_j1bsq = ', time1 - time0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, u12_grad1_u12_j1b_grad1_j1b, (ao_num, ao_num, n_points_final_grid) ]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, m, igauss
|
||||
double precision :: x, y, z
|
||||
double precision :: tmp_v, tmp_x, tmp_y, tmp_z
|
||||
double precision :: tmp3, tmp4, tmp5, tmp6, tmp7, tmp8, tmp9
|
||||
double precision :: time0, time1
|
||||
double precision, external :: overlap_gauss_r12_ao
|
||||
|
||||
print*, ' providing u12_grad1_u12_j1b_grad1_j1b ...'
|
||||
call wall_time(time0)
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
tmp_v = v_1b (ipoint)
|
||||
tmp_x = v_1b_grad(1,ipoint)
|
||||
tmp_y = v_1b_grad(2,ipoint)
|
||||
tmp_z = v_1b_grad(3,ipoint)
|
||||
|
||||
tmp3 = tmp_v * tmp_x
|
||||
tmp4 = tmp_v * tmp_y
|
||||
tmp5 = tmp_v * tmp_z
|
||||
|
||||
tmp6 = -x * tmp3
|
||||
tmp7 = -y * tmp4
|
||||
tmp8 = -z * tmp5
|
||||
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
|
||||
tmp9 = int2_u_grad1u_j1b2(i,j,ipoint)
|
||||
|
||||
u12_grad1_u12_j1b_grad1_j1b(i,j,ipoint) = tmp6 * tmp9 + tmp3 * int2_u_grad1u_x_j1b2(1,i,j,ipoint) &
|
||||
+ tmp7 * tmp9 + tmp4 * int2_u_grad1u_x_j1b2(2,i,j,ipoint) &
|
||||
+ tmp8 * tmp9 + tmp5 * int2_u_grad1u_x_j1b2(3,i,j,ipoint)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(time1)
|
||||
print*, ' Wall time for u12_grad1_u12_j1b_grad1_j1b = ', time1 - time0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -1,20 +1,26 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, ao_non_hermit_term_chemist, (ao_num, ao_num, ao_num, ao_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
! 1 1 2 2 1 2 1 2
|
||||
!
|
||||
! ao_non_hermit_term_chemist(k,i,l,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the AO basis
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! 1 1 2 2 1 2 1 2
|
||||
!
|
||||
! ao_non_hermit_term_chemist(k,i,l,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the AO basis
|
||||
END_DOC
|
||||
integer :: i,j,k,l,ipoint,m
|
||||
double precision :: weight1,thr,r(3)
|
||||
thr = 1.d-8
|
||||
double precision, allocatable :: b_mat(:,:,:,:),ac_mat(:,:,:,:)
|
||||
! provide v_ij_erf_rk_cst_mu
|
||||
integer :: i, j, k, l, ipoint, m
|
||||
double precision :: weight1, r(3)
|
||||
double precision :: wall1, wall0
|
||||
double precision, allocatable :: b_mat(:,:,:,:), ac_mat(:,:,:,:)
|
||||
|
||||
provide v_ij_erf_rk_cst_mu x_v_ij_erf_rk_cst_mu
|
||||
! ao_non_hermit_term_chemist = non_h_ints
|
||||
! return
|
||||
|
||||
call wall_time(wall0)
|
||||
allocate(b_mat(n_points_final_grid,ao_num,ao_num,3),ac_mat(ao_num, ao_num, ao_num, ao_num))
|
||||
allocate(b_mat(n_points_final_grid,ao_num,ao_num,3), ac_mat(ao_num,ao_num,ao_num,ao_num))
|
||||
|
||||
!$OMP PARALLEL &
|
||||
!$OMP DEFAULT (NONE) &
|
||||
!$OMP PRIVATE (i,k,m,ipoint,r,weight1) &
|
||||
@ -37,14 +43,16 @@ END_DOC
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
|
||||
|
||||
! (A) b_mat(ipoint,k,i,m) X v_ij_erf_rk_cst_mu(j,l,r1)
|
||||
! 1/2 \int dr1 x1 phi_k(1) d/dx1 phi_i(1) \int dr2 (1 - erf(mu_r12))/r12 phi_j(2) phi_l(2)
|
||||
ac_mat = 0.d0
|
||||
do m = 1, 3
|
||||
! A B^T dim(A,1) dim(B,2) dim(A,2) alpha * A LDA
|
||||
call dgemm("N","N",ao_num*ao_num,ao_num*ao_num,n_points_final_grid,1.d0,v_ij_erf_rk_cst_mu(1,1,1),ao_num*ao_num &
|
||||
,b_mat(1,1,1,m),n_points_final_grid,1.d0,ac_mat,ao_num*ao_num)
|
||||
|
||||
call dgemm( "N", "N", ao_num*ao_num, ao_num*ao_num, n_points_final_grid, 1.d0 &
|
||||
, v_ij_erf_rk_cst_mu(1,1,1), ao_num*ao_num, b_mat(1,1,1,m), n_points_final_grid &
|
||||
, 1.d0, ac_mat, ao_num*ao_num)
|
||||
|
||||
enddo
|
||||
|
||||
!$OMP PARALLEL &
|
||||
@ -69,8 +77,10 @@ END_DOC
|
||||
! 1/2 \int dr1 phi_k(1) d/dx1 phi_i(1) \int dr2 x2(1 - erf(mu_r12))/r12 phi_j(2) phi_l(2)
|
||||
do m = 1, 3
|
||||
! A B^T dim(A,1) dim(B,2) dim(A,2) alpha * A LDA
|
||||
call dgemm("N","N",ao_num*ao_num,ao_num*ao_num,n_points_final_grid,-1.d0,x_v_ij_erf_rk_cst_mu(1,1,1,m),ao_num*ao_num &
|
||||
,b_mat(1,1,1,m),n_points_final_grid,1.d0,ac_mat,ao_num*ao_num)
|
||||
|
||||
call dgemm( "N", "N", ao_num*ao_num, ao_num*ao_num, n_points_final_grid, -1.d0 &
|
||||
, x_v_ij_erf_rk_cst_mu(1,1,1,m), ao_num*ao_num, b_mat(1,1,1,m), n_points_final_grid &
|
||||
, 1.d0, ac_mat, ao_num*ao_num)
|
||||
enddo
|
||||
|
||||
!$OMP PARALLEL &
|
||||
@ -90,24 +100,31 @@ END_DOC
|
||||
enddo
|
||||
!$OMP END DO
|
||||
!$OMP END PARALLEL
|
||||
double precision :: wall1, wall0
|
||||
|
||||
call wall_time(wall1)
|
||||
print*,'wall time dgemm ',wall1 - wall0
|
||||
print *, ' wall time dgemm ', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
! TODO :: optimization :: transform into DGEM
|
||||
|
||||
BEGIN_PROVIDER [double precision, mo_non_hermit_term_chemist, (mo_num, mo_num, mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
! 1 1 2 2 1 2 1 2
|
||||
!
|
||||
! mo_non_hermit_term_chemist(k,i,l,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the MO basis
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! 1 1 2 2 1 2 1 2
|
||||
!
|
||||
! mo_non_hermit_term_chemist(k,i,l,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the MO basis
|
||||
END_DOC
|
||||
integer :: i,j,k,l,m,n,p,q
|
||||
double precision, allocatable :: mo_tmp_1(:,:,:,:),mo_tmp_2(:,:,:,:),mo_tmp_3(:,:,:,:)
|
||||
integer :: i, j, k, l, m, n, p, q
|
||||
double precision, allocatable :: mo_tmp_1(:,:,:,:), mo_tmp_2(:,:,:,:)
|
||||
|
||||
allocate(mo_tmp_1(mo_num,ao_num,ao_num,ao_num))
|
||||
! TODO :: optimization :: transform into DGEM
|
||||
mo_tmp_1 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
@ -121,8 +138,10 @@ END_DOC
|
||||
enddo
|
||||
enddo
|
||||
free ao_non_hermit_term_chemist
|
||||
|
||||
allocate(mo_tmp_2(mo_num,mo_num,ao_num,ao_num))
|
||||
mo_tmp_2 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do n = 1, ao_num
|
||||
@ -136,8 +155,10 @@ END_DOC
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_1)
|
||||
|
||||
allocate(mo_tmp_1(mo_num,mo_num,mo_num,ao_num))
|
||||
mo_tmp_1 = 0.d0
|
||||
|
||||
do m = 1, ao_num
|
||||
do p = 1, ao_num
|
||||
do l = 1, mo_num
|
||||
@ -150,6 +171,7 @@ END_DOC
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_2)
|
||||
|
||||
mo_non_hermit_term_chemist = 0.d0
|
||||
do m = 1, ao_num
|
||||
do j = 1, mo_num
|
||||
@ -162,17 +184,23 @@ END_DOC
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
deallocate(mo_tmp_1)
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, mo_non_hermit_term, (mo_num, mo_num, mo_num, mo_num)]
|
||||
|
||||
BEGIN_DOC
|
||||
! 1 2 1 2 1 2 1 2
|
||||
!
|
||||
! mo_non_hermit_term(k,l,i,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the MO basis
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! 1 2 1 2 1 2 1 2
|
||||
!
|
||||
! mo_non_hermit_term(k,l,i,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the MO basis
|
||||
END_DOC
|
||||
integer :: i,j,k,l
|
||||
integer :: i, j, k, l
|
||||
|
||||
do j = 1, mo_num
|
||||
do i = 1, mo_num
|
||||
do l = 1, mo_num
|
||||
@ -182,4 +210,8 @@ END_DOC
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
623
src/non_h_ints_mu/j12_nucl_utils.irp.f
Normal file
623
src/non_h_ints_mu/j12_nucl_utils.irp.f
Normal file
@ -0,0 +1,623 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_1b, (n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, phase
|
||||
double precision :: x, y, z, dx, dy, dz
|
||||
double precision :: a, d, e, fact_r
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
fact_r = 1.d0
|
||||
do j = 1, nucl_num
|
||||
a = j1b_pen(j)
|
||||
dx = x - nucl_coord(j,1)
|
||||
dy = y - nucl_coord(j,2)
|
||||
dz = z - nucl_coord(j,3)
|
||||
d = dx*dx + dy*dy + dz*dz
|
||||
e = 1.d0 - dexp(-a*d)
|
||||
|
||||
fact_r = fact_r * e
|
||||
enddo
|
||||
|
||||
v_1b(ipoint) = fact_r
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_1b_grad, (3, n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, phase
|
||||
double precision :: x, y, z, dx, dy, dz
|
||||
double precision :: a, d, e
|
||||
double precision :: fact_x, fact_y, fact_z
|
||||
double precision :: ax_der, ay_der, az_der, a_expo
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
fact_x = 0.d0
|
||||
fact_y = 0.d0
|
||||
fact_z = 0.d0
|
||||
do i = 1, List_all_comb_b2_size
|
||||
|
||||
phase = 0
|
||||
a_expo = 0.d0
|
||||
ax_der = 0.d0
|
||||
ay_der = 0.d0
|
||||
az_der = 0.d0
|
||||
do j = 1, nucl_num
|
||||
a = dble(List_all_comb_b2(j,i)) * j1b_pen(j)
|
||||
dx = x - nucl_coord(j,1)
|
||||
dy = y - nucl_coord(j,2)
|
||||
dz = z - nucl_coord(j,3)
|
||||
|
||||
phase += List_all_comb_b2(j,i)
|
||||
a_expo += a * (dx*dx + dy*dy + dz*dz)
|
||||
ax_der += a * dx
|
||||
ay_der += a * dy
|
||||
az_der += a * dz
|
||||
enddo
|
||||
e = -2.d0 * (-1.d0)**dble(phase) * dexp(-a_expo)
|
||||
|
||||
fact_x += e * ax_der
|
||||
fact_y += e * ay_der
|
||||
fact_z += e * az_der
|
||||
enddo
|
||||
|
||||
v_1b_grad(1,ipoint) = fact_x
|
||||
v_1b_grad(2,ipoint) = fact_y
|
||||
v_1b_grad(3,ipoint) = fact_z
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_1b_lapl, (n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, phase
|
||||
double precision :: x, y, z, dx, dy, dz
|
||||
double precision :: a, d, e, b
|
||||
double precision :: fact_r
|
||||
double precision :: ax_der, ay_der, az_der, a_expo
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
fact_r = 0.d0
|
||||
do i = 1, List_all_comb_b2_size
|
||||
|
||||
phase = 0
|
||||
b = 0.d0
|
||||
a_expo = 0.d0
|
||||
ax_der = 0.d0
|
||||
ay_der = 0.d0
|
||||
az_der = 0.d0
|
||||
do j = 1, nucl_num
|
||||
a = dble(List_all_comb_b2(j,i)) * j1b_pen(j)
|
||||
dx = x - nucl_coord(j,1)
|
||||
dy = y - nucl_coord(j,2)
|
||||
dz = z - nucl_coord(j,3)
|
||||
|
||||
phase += List_all_comb_b2(j,i)
|
||||
b += a
|
||||
a_expo += a * (dx*dx + dy*dy + dz*dz)
|
||||
ax_der += a * dx
|
||||
ay_der += a * dy
|
||||
az_der += a * dz
|
||||
enddo
|
||||
|
||||
fact_r += (-1.d0)**dble(phase) * (-6.d0*b + 4.d0*(ax_der*ax_der + ay_der*ay_der + az_der*az_der) ) * dexp(-a_expo)
|
||||
enddo
|
||||
|
||||
v_1b_lapl(ipoint) = fact_r
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_1b_list_b2, (n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: i, ipoint
|
||||
double precision :: x, y, z, coef, expo, dx, dy, dz
|
||||
double precision :: fact_r
|
||||
|
||||
PROVIDE List_all_comb_b2_coef List_all_comb_b2_expo List_all_comb_b2_cent
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
fact_r = 0.d0
|
||||
do i = 1, List_all_comb_b2_size
|
||||
|
||||
coef = List_all_comb_b2_coef(i)
|
||||
expo = List_all_comb_b2_expo(i)
|
||||
|
||||
dx = x - List_all_comb_b2_cent(1,i)
|
||||
dy = y - List_all_comb_b2_cent(2,i)
|
||||
dz = z - List_all_comb_b2_cent(3,i)
|
||||
|
||||
fact_r += coef * dexp(-expo * (dx*dx + dy*dy + dz*dz))
|
||||
enddo
|
||||
|
||||
v_1b_list_b2(ipoint) = fact_r
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, v_1b_list_b3, (n_points_final_grid)]
|
||||
|
||||
implicit none
|
||||
integer :: i, ipoint
|
||||
double precision :: x, y, z, coef, expo, dx, dy, dz
|
||||
double precision :: fact_r
|
||||
|
||||
PROVIDE List_all_comb_b3_coef List_all_comb_b3_expo List_all_comb_b3_cent
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
fact_r = 0.d0
|
||||
do i = 1, List_all_comb_b3_size
|
||||
|
||||
coef = List_all_comb_b3_coef(i)
|
||||
expo = List_all_comb_b3_expo(i)
|
||||
|
||||
dx = x - List_all_comb_b3_cent(1,i)
|
||||
dy = y - List_all_comb_b3_cent(2,i)
|
||||
dz = z - List_all_comb_b3_cent(3,i)
|
||||
|
||||
fact_r += coef * dexp(-expo * (dx*dx + dy*dy + dz*dz))
|
||||
enddo
|
||||
|
||||
v_1b_list_b3(ipoint) = fact_r
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
double precision function jmu_modif(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision, external :: j12_mu, j12_nucl
|
||||
|
||||
jmu_modif = j12_mu(r1, r2) * j12_nucl(r1, r2)
|
||||
|
||||
return
|
||||
end function jmu_modif
|
||||
|
||||
! ---
|
||||
|
||||
double precision function j12_mu(r1, r2)
|
||||
|
||||
include 'constants.include.F'
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: mu_r12, r12
|
||||
|
||||
r12 = dsqrt( (r1(1) - r2(1)) * (r1(1) - r2(1)) &
|
||||
+ (r1(2) - r2(2)) * (r1(2) - r2(2)) &
|
||||
+ (r1(3) - r2(3)) * (r1(3) - r2(3)) )
|
||||
mu_r12 = mu_erf * r12
|
||||
|
||||
j12_mu = 0.5d0 * r12 * (1.d0 - derf(mu_r12)) - inv_sq_pi_2 * dexp(-mu_r12*mu_r12) / mu_erf
|
||||
|
||||
return
|
||||
end function j12_mu
|
||||
|
||||
! ---
|
||||
|
||||
double precision function j12_mu_gauss(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
integer :: i
|
||||
double precision :: r12, coef, expo
|
||||
|
||||
r12 = (r1(1) - r2(1)) * (r1(1) - r2(1)) &
|
||||
+ (r1(2) - r2(2)) * (r1(2) - r2(2)) &
|
||||
+ (r1(3) - r2(3)) * (r1(3) - r2(3))
|
||||
|
||||
j12_mu_gauss = 0.d0
|
||||
do i = 1, n_max_fit_slat
|
||||
expo = expo_gauss_j_mu_x(i)
|
||||
coef = coef_gauss_j_mu_x(i)
|
||||
|
||||
j12_mu_gauss += coef * dexp(-expo*r12)
|
||||
enddo
|
||||
|
||||
return
|
||||
end function j12_mu_gauss
|
||||
|
||||
! ---
|
||||
|
||||
double precision function j1b_nucl(r)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r(3)
|
||||
integer :: i
|
||||
double precision :: a, d, e
|
||||
|
||||
j1b_nucl = 1.d0
|
||||
|
||||
do i = 1, nucl_num
|
||||
a = j1b_pen(i)
|
||||
d = ( (r(1) - nucl_coord(i,1)) * (r(1) - nucl_coord(i,1)) &
|
||||
+ (r(2) - nucl_coord(i,2)) * (r(2) - nucl_coord(i,2)) &
|
||||
+ (r(3) - nucl_coord(i,3)) * (r(3) - nucl_coord(i,3)) )
|
||||
e = 1.d0 - exp(-a*d)
|
||||
|
||||
j1b_nucl = j1b_nucl * e
|
||||
enddo
|
||||
|
||||
return
|
||||
end function j1b_nucl
|
||||
|
||||
! ---
|
||||
|
||||
double precision function j12_nucl(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
j12_nucl = j1b_nucl(r1) * j1b_nucl(r2)
|
||||
|
||||
return
|
||||
end function j12_nucl
|
||||
|
||||
! ---
|
||||
|
||||
! ---------------------------------------------------------------------------------------
|
||||
|
||||
double precision function grad_x_j1b_nucl(r)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r(3)
|
||||
double precision :: r_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
eps = 1d-6
|
||||
r_eps = r
|
||||
delta = max(eps, dabs(eps*r(1)))
|
||||
|
||||
r_eps(1) = r_eps(1) + delta
|
||||
fp = j1b_nucl(r_eps)
|
||||
r_eps(1) = r_eps(1) - 2.d0 * delta
|
||||
fm = j1b_nucl(r_eps)
|
||||
|
||||
grad_x_j1b_nucl = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad_x_j1b_nucl
|
||||
|
||||
double precision function grad_y_j1b_nucl(r)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r(3)
|
||||
double precision :: r_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
eps = 1d-6
|
||||
r_eps = r
|
||||
delta = max(eps, dabs(eps*r(2)))
|
||||
|
||||
r_eps(2) = r_eps(2) + delta
|
||||
fp = j1b_nucl(r_eps)
|
||||
r_eps(2) = r_eps(2) - 2.d0 * delta
|
||||
fm = j1b_nucl(r_eps)
|
||||
|
||||
grad_y_j1b_nucl = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad_y_j1b_nucl
|
||||
|
||||
double precision function grad_z_j1b_nucl(r)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r(3)
|
||||
double precision :: r_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
eps = 1d-6
|
||||
r_eps = r
|
||||
delta = max(eps, dabs(eps*r(3)))
|
||||
|
||||
r_eps(3) = r_eps(3) + delta
|
||||
fp = j1b_nucl(r_eps)
|
||||
r_eps(3) = r_eps(3) - 2.d0 * delta
|
||||
fm = j1b_nucl(r_eps)
|
||||
|
||||
grad_z_j1b_nucl = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad_z_j1b_nucl
|
||||
|
||||
! ---------------------------------------------------------------------------------------
|
||||
|
||||
! ---
|
||||
|
||||
double precision function lapl_j1b_nucl(r)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r(3)
|
||||
double precision :: r_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
eps = 1d-5
|
||||
r_eps = r
|
||||
|
||||
lapl_j1b_nucl = 0.d0
|
||||
|
||||
! ---
|
||||
|
||||
delta = max(eps, dabs(eps*r(1)))
|
||||
r_eps(1) = r_eps(1) + delta
|
||||
fp = grad_x_j1b_nucl(r_eps)
|
||||
r_eps(1) = r_eps(1) - 2.d0 * delta
|
||||
fm = grad_x_j1b_nucl(r_eps)
|
||||
r_eps(1) = r_eps(1) + delta
|
||||
|
||||
lapl_j1b_nucl += 0.5d0 * (fp - fm) / delta
|
||||
|
||||
! ---
|
||||
|
||||
delta = max(eps, dabs(eps*r(2)))
|
||||
r_eps(2) = r_eps(2) + delta
|
||||
fp = grad_y_j1b_nucl(r_eps)
|
||||
r_eps(2) = r_eps(2) - 2.d0 * delta
|
||||
fm = grad_y_j1b_nucl(r_eps)
|
||||
r_eps(2) = r_eps(2) + delta
|
||||
|
||||
lapl_j1b_nucl += 0.5d0 * (fp - fm) / delta
|
||||
|
||||
! ---
|
||||
|
||||
delta = max(eps, dabs(eps*r(3)))
|
||||
r_eps(3) = r_eps(3) + delta
|
||||
fp = grad_z_j1b_nucl(r_eps)
|
||||
r_eps(3) = r_eps(3) - 2.d0 * delta
|
||||
fm = grad_z_j1b_nucl(r_eps)
|
||||
r_eps(3) = r_eps(3) + delta
|
||||
|
||||
lapl_j1b_nucl += 0.5d0 * (fp - fm) / delta
|
||||
|
||||
! ---
|
||||
|
||||
return
|
||||
end function lapl_j1b_nucl
|
||||
|
||||
! ---
|
||||
|
||||
! ---------------------------------------------------------------------------------------
|
||||
|
||||
double precision function grad1_x_jmu_modif(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: r1_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: jmu_modif
|
||||
|
||||
eps = 1d-7
|
||||
r1_eps = r1
|
||||
delta = max(eps, dabs(eps*r1(1)))
|
||||
|
||||
r1_eps(1) = r1_eps(1) + delta
|
||||
fp = jmu_modif(r1_eps, r2)
|
||||
r1_eps(1) = r1_eps(1) - 2.d0 * delta
|
||||
fm = jmu_modif(r1_eps, r2)
|
||||
|
||||
grad1_x_jmu_modif = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad1_x_jmu_modif
|
||||
|
||||
double precision function grad1_y_jmu_modif(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: r1_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: jmu_modif
|
||||
|
||||
eps = 1d-7
|
||||
r1_eps = r1
|
||||
delta = max(eps, dabs(eps*r1(2)))
|
||||
|
||||
r1_eps(2) = r1_eps(2) + delta
|
||||
fp = jmu_modif(r1_eps, r2)
|
||||
r1_eps(2) = r1_eps(2) - 2.d0 * delta
|
||||
fm = jmu_modif(r1_eps, r2)
|
||||
|
||||
grad1_y_jmu_modif = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad1_y_jmu_modif
|
||||
|
||||
double precision function grad1_z_jmu_modif(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: r1_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: jmu_modif
|
||||
|
||||
eps = 1d-7
|
||||
r1_eps = r1
|
||||
delta = max(eps, dabs(eps*r1(3)))
|
||||
|
||||
r1_eps(3) = r1_eps(3) + delta
|
||||
fp = jmu_modif(r1_eps, r2)
|
||||
r1_eps(3) = r1_eps(3) - 2.d0 * delta
|
||||
fm = jmu_modif(r1_eps, r2)
|
||||
|
||||
grad1_z_jmu_modif = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad1_z_jmu_modif
|
||||
|
||||
! ---------------------------------------------------------------------------------------
|
||||
|
||||
! ---
|
||||
|
||||
! ---------------------------------------------------------------------------------------
|
||||
|
||||
double precision function grad1_x_j12_mu_num(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: r1_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: j12_mu
|
||||
|
||||
eps = 1d-7
|
||||
r1_eps = r1
|
||||
delta = max(eps, dabs(eps*r1(1)))
|
||||
|
||||
r1_eps(1) = r1_eps(1) + delta
|
||||
fp = j12_mu(r1_eps, r2)
|
||||
r1_eps(1) = r1_eps(1) - 2.d0 * delta
|
||||
fm = j12_mu(r1_eps, r2)
|
||||
|
||||
grad1_x_j12_mu_num = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad1_x_j12_mu_num
|
||||
|
||||
double precision function grad1_y_j12_mu_num(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: r1_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: j12_mu
|
||||
|
||||
eps = 1d-7
|
||||
r1_eps = r1
|
||||
delta = max(eps, dabs(eps*r1(2)))
|
||||
|
||||
r1_eps(2) = r1_eps(2) + delta
|
||||
fp = j12_mu(r1_eps, r2)
|
||||
r1_eps(2) = r1_eps(2) - 2.d0 * delta
|
||||
fm = j12_mu(r1_eps, r2)
|
||||
|
||||
grad1_y_j12_mu_num = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad1_y_j12_mu_num
|
||||
|
||||
double precision function grad1_z_j12_mu_num(r1, r2)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision :: r1_eps(3), eps, fp, fm, delta
|
||||
double precision, external :: j12_mu
|
||||
|
||||
eps = 1d-7
|
||||
r1_eps = r1
|
||||
delta = max(eps, dabs(eps*r1(3)))
|
||||
|
||||
r1_eps(3) = r1_eps(3) + delta
|
||||
fp = j12_mu(r1_eps, r2)
|
||||
r1_eps(3) = r1_eps(3) - 2.d0 * delta
|
||||
fm = j12_mu(r1_eps, r2)
|
||||
|
||||
grad1_z_j12_mu_num = 0.5d0 * (fp - fm) / delta
|
||||
|
||||
return
|
||||
end function grad1_z_j12_mu_num
|
||||
|
||||
! ---------------------------------------------------------------------------------------
|
||||
|
||||
! ---
|
||||
|
||||
subroutine grad1_j12_mu_exc(r1, r2, grad)
|
||||
|
||||
implicit none
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision, intent(out) :: grad(3)
|
||||
double precision :: dx, dy, dz, r12, tmp
|
||||
|
||||
grad = 0.d0
|
||||
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
|
||||
r12 = dsqrt( dx * dx + dy * dy + dz * dz )
|
||||
if(r12 .lt. 1d-10) return
|
||||
|
||||
tmp = 0.5d0 * (1.d0 - derf(mu_erf * r12)) / r12
|
||||
|
||||
grad(1) = tmp * dx
|
||||
grad(2) = tmp * dy
|
||||
grad(3) = tmp * dz
|
||||
|
||||
return
|
||||
end subroutine grad1_j12_mu_exc
|
||||
|
||||
! ---
|
||||
|
||||
subroutine grad1_jmu_modif_num(r1, r2, grad)
|
||||
|
||||
implicit none
|
||||
|
||||
double precision, intent(in) :: r1(3), r2(3)
|
||||
double precision, intent(out) :: grad(3)
|
||||
|
||||
double precision :: tmp0, tmp1, tmp2, tmp3, tmp4, grad_u12(3)
|
||||
|
||||
double precision, external :: j12_mu
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
call grad1_j12_mu_exc(r1, r2, grad_u12)
|
||||
|
||||
tmp0 = j1b_nucl(r1)
|
||||
tmp1 = j1b_nucl(r2)
|
||||
tmp2 = j12_mu(r1, r2)
|
||||
tmp3 = tmp0 * tmp1
|
||||
tmp4 = tmp2 * tmp1
|
||||
|
||||
grad(1) = tmp3 * grad_u12(1) + tmp4 * grad_x_j1b_nucl(r1)
|
||||
grad(2) = tmp3 * grad_u12(2) + tmp4 * grad_y_j1b_nucl(r1)
|
||||
grad(3) = tmp3 * grad_u12(3) + tmp4 * grad_z_j1b_nucl(r1)
|
||||
|
||||
return
|
||||
end subroutine grad1_jmu_modif_num
|
||||
|
||||
! ---
|
||||
|
||||
|
||||
|
||||
|
@ -1,56 +1,132 @@
|
||||
BEGIN_PROVIDER [ double precision, grad_1_u_ij_mu, ( ao_num, ao_num,n_points_final_grid,3)]
|
||||
implicit none
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao, (3, ao_num, ao_num, n_points_final_grid)]
|
||||
|
||||
BEGIN_DOC
|
||||
! grad_1_u_ij_mu(i,j,ipoint) = -1 * \int dr2 \grad_r1 u(r1,r2) \phi_i(r2) \phi_j(r2)
|
||||
!
|
||||
! int2_grad1_u12_ao(:,i,j,ipoint) = \int dr2 [-1 * \grad_r1 J(r1,r2)] \phi_i(r2) \phi_j(r2)
|
||||
!
|
||||
! where r1 = r(ipoint)
|
||||
!
|
||||
! grad_1_u_ij_mu(i,j,ipoint) = \int dr2 (r1 - r2) (erf(mu * r12)-1)/2 r_12 \phi_i(r2) \phi_j(r2)
|
||||
! if J(r1,r2) = u12:
|
||||
!
|
||||
! int2_grad1_u12_ao(:,i,j,ipoint) = 0.5 x \int dr2 [(r1 - r2) (erf(mu * r12)-1)r_12] \phi_i(r2) \phi_j(r2)
|
||||
! = 0.5 * [ v_ij_erf_rk_cst_mu(i,j,ipoint) * r(:) - x_v_ij_erf_rk_cst_mu(i,j,ipoint,:) ]
|
||||
!
|
||||
! if J(r1,r2) = u12 x v1 x v2
|
||||
!
|
||||
! int2_grad1_u12_ao(:,i,j,ipoint) = v1 x [ 0.5 x \int dr2 [(r1 - r2) (erf(mu * r12)-1)r_12] v2 \phi_i(r2) \phi_j(r2) ]
|
||||
! - \grad_1 v1 x [ \int dr2 u12 v2 \phi_i(r2) \phi_j(r2) ]
|
||||
! = 0.5 v_1b(ipoint) * v_ij_erf_rk_cst_mu_j1b(i,j,ipoint) * r(:)
|
||||
! - 0.5 v_1b(ipoint) * x_v_ij_erf_rk_cst_mu_j1b(i,j,ipoint,:)
|
||||
! - v_1b_grad[:,ipoint] * v_ij_u_cst_mu_j1b(i,j,ipoint)
|
||||
!
|
||||
!
|
||||
END_DOC
|
||||
integer :: ipoint,i,j,m
|
||||
double precision :: r(3)
|
||||
do m = 1, 3
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j
|
||||
double precision :: x, y, z, tmp_x, tmp_y, tmp_z, tmp0, tmp1, tmp2
|
||||
|
||||
PROVIDE j1b_type
|
||||
|
||||
if(j1b_type .eq. 3) then
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
r(1) = final_grid_points(1,ipoint)
|
||||
r(2) = final_grid_points(2,ipoint)
|
||||
r(3) = final_grid_points(3,ipoint)
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
tmp0 = 0.5d0 * v_1b(ipoint)
|
||||
tmp_x = v_1b_grad(1,ipoint)
|
||||
tmp_y = v_1b_grad(2,ipoint)
|
||||
tmp_z = v_1b_grad(3,ipoint)
|
||||
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
grad_1_u_ij_mu(i,j,ipoint,m) = v_ij_erf_rk_cst_mu(i,j,ipoint) * r(m) - x_v_ij_erf_rk_cst_mu(i,j,ipoint,m)
|
||||
|
||||
tmp1 = tmp0 * v_ij_erf_rk_cst_mu_j1b(i,j,ipoint)
|
||||
tmp2 = v_ij_u_cst_mu_j1b(i,j,ipoint)
|
||||
|
||||
int2_grad1_u12_ao(1,i,j,ipoint) = tmp1 * x - tmp0 * x_v_ij_erf_rk_cst_mu_tmp_j1b(1,i,j,ipoint) - tmp2 * tmp_x
|
||||
int2_grad1_u12_ao(2,i,j,ipoint) = tmp1 * y - tmp0 * x_v_ij_erf_rk_cst_mu_tmp_j1b(2,i,j,ipoint) - tmp2 * tmp_y
|
||||
int2_grad1_u12_ao(3,i,j,ipoint) = tmp1 * z - tmp0 * x_v_ij_erf_rk_cst_mu_tmp_j1b(3,i,j,ipoint) - tmp2 * tmp_z
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
else
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
x = final_grid_points(1,ipoint)
|
||||
y = final_grid_points(2,ipoint)
|
||||
z = final_grid_points(3,ipoint)
|
||||
|
||||
do j = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
tmp1 = v_ij_erf_rk_cst_mu(i,j,ipoint)
|
||||
|
||||
int2_grad1_u12_ao(1,i,j,ipoint) = tmp1 * x - x_v_ij_erf_rk_cst_mu_tmp(1,i,j,ipoint)
|
||||
int2_grad1_u12_ao(2,i,j,ipoint) = tmp1 * y - x_v_ij_erf_rk_cst_mu_tmp(2,i,j,ipoint)
|
||||
int2_grad1_u12_ao(3,i,j,ipoint) = tmp1 * z - x_v_ij_erf_rk_cst_mu_tmp(3,i,j,ipoint)
|
||||
enddo
|
||||
grad_1_u_ij_mu *= 0.5d0
|
||||
enddo
|
||||
enddo
|
||||
|
||||
int2_grad1_u12_ao *= 0.5d0
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, tc_grad_and_lapl_ao, (ao_num, ao_num, ao_num, ao_num)]
|
||||
implicit none
|
||||
|
||||
BEGIN_DOC
|
||||
! tc_grad_and_lapl_ao(k,i,l,j) = <kl | -1/2 \Delta_1 u(r1,r2) - \grad_1 u(r1,r2) .\grad_1| ij>
|
||||
!
|
||||
! tc_grad_and_lapl_ao(k,i,l,j) = < k l | -1/2 \Delta_1 u(r1,r2) - \grad_1 u(r1,r2) | ij >
|
||||
!
|
||||
! = 1/2 \int dr1 (phi_k(r1) \grad_r1 phi_i(r1) - phi_i(r1) \grad_r1 phi_k(r1)) . \int dr2 \grad_r1 u(r1,r2) \phi_l(r2) \phi_j(r2)
|
||||
!
|
||||
! This is obtained by integration by parts.
|
||||
!
|
||||
END_DOC
|
||||
integer :: ipoint,i,j,k,l,m
|
||||
double precision :: contrib,weight1
|
||||
|
||||
implicit none
|
||||
integer :: ipoint, i, j, k, l
|
||||
double precision :: weight1, contrib_x, contrib_y, contrib_z, tmp_x, tmp_y, tmp_z
|
||||
double precision :: ao_k_r, ao_i_r, ao_i_dx, ao_i_dy, ao_i_dz
|
||||
double precision, allocatable :: ac_mat(:,:,:,:)
|
||||
allocate(ac_mat(ao_num, ao_num, ao_num, ao_num))
|
||||
|
||||
allocate(ac_mat(ao_num,ao_num,ao_num,ao_num))
|
||||
ac_mat = 0.d0
|
||||
do m = 1, 3
|
||||
|
||||
do ipoint = 1, n_points_final_grid
|
||||
weight1 = final_weight_at_r_vector(ipoint)
|
||||
weight1 = 0.5d0 * final_weight_at_r_vector(ipoint)
|
||||
|
||||
do i = 1, ao_num
|
||||
ao_i_r = weight1 * aos_in_r_array_transp (ipoint,i)
|
||||
ao_i_dx = weight1 * aos_grad_in_r_array_transp_bis(ipoint,i,1)
|
||||
ao_i_dy = weight1 * aos_grad_in_r_array_transp_bis(ipoint,i,2)
|
||||
ao_i_dz = weight1 * aos_grad_in_r_array_transp_bis(ipoint,i,3)
|
||||
|
||||
do k = 1, ao_num
|
||||
ao_k_r = aos_in_r_array_transp(ipoint,k)
|
||||
|
||||
tmp_x = ao_k_r * ao_i_dx - ao_i_r * aos_grad_in_r_array_transp_bis(ipoint,k,1)
|
||||
tmp_y = ao_k_r * ao_i_dy - ao_i_r * aos_grad_in_r_array_transp_bis(ipoint,k,2)
|
||||
tmp_z = ao_k_r * ao_i_dz - ao_i_r * aos_grad_in_r_array_transp_bis(ipoint,k,3)
|
||||
|
||||
do j = 1, ao_num
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
contrib = weight1 *0.5D0* (aos_in_r_array_transp(ipoint,k) * aos_grad_in_r_array_transp_bis(ipoint,i,m) &
|
||||
-aos_in_r_array_transp(ipoint,i) * aos_grad_in_r_array_transp_bis(ipoint,k,m) )
|
||||
! \int dr1 phi_k(r1) \grad_r1 phi_i(r1) . \int dr2 \grad_r1 u(r1,r2) \phi_l(r2) \phi_j(r2)
|
||||
ac_mat(k,i,l,j) += grad_1_u_ij_mu(l,j,ipoint,m) * contrib
|
||||
enddo
|
||||
|
||||
contrib_x = int2_grad1_u12_ao(1,l,j,ipoint) * tmp_x
|
||||
contrib_y = int2_grad1_u12_ao(2,l,j,ipoint) * tmp_y
|
||||
contrib_z = int2_grad1_u12_ao(3,l,j,ipoint) * tmp_z
|
||||
|
||||
ac_mat(k,i,l,j) += contrib_x + contrib_y + contrib_z
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@ -67,4 +143,9 @@ BEGIN_PROVIDER [double precision, tc_grad_and_lapl_ao, (ao_num, ao_num, ao_num,
|
||||
enddo
|
||||
enddo
|
||||
|
||||
deallocate(ac_mat)
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
|
623
src/non_h_ints_mu/numerical_integ.irp.f
Normal file
623
src/non_h_ints_mu/numerical_integ.irp.f
Normal file
@ -0,0 +1,623 @@
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_v_ij_u_cst_mu_j1b(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 u12 \phi_i(r2) \phi_j(r2) x v_1b(r2)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3)
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j12_mu, j1b_nucl, j12_mu_gauss
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_v_ij_u_cst_mu_j1b = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
num_v_ij_u_cst_mu_j1b += ao_value(i, r2) * ao_value(j, r2) * j12_mu_gauss(r1, r2) * j1b_nucl(r2) * final_weight_at_r_vector(jpoint)
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_v_ij_u_cst_mu_j1b
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_int2_u2_j1b2(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 u12^2 \phi_i(r2) \phi_j(r2) x v_1b(r2)^2
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint, i_fit
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: dx, dy, dz, r12, x2, tmp1, tmp2, tmp3, coef, expo
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: j12_mu
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_int2_u2_j1b2 = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
x2 = dx * dx + dy * dy + dz * dz
|
||||
r12 = dsqrt(x2)
|
||||
|
||||
tmp1 = j1b_nucl(r2)
|
||||
tmp2 = tmp1 * tmp1 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint)
|
||||
|
||||
!tmp3 = 0.d0
|
||||
!do i_fit = 1, n_max_fit_slat
|
||||
! expo = expo_gauss_j_mu_x_2(i_fit)
|
||||
! coef = coef_gauss_j_mu_x_2(i_fit)
|
||||
! tmp3 += coef * dexp(-expo*x2)
|
||||
!enddo
|
||||
tmp3 = j12_mu(r1, r2)
|
||||
tmp3 = tmp3 * tmp3
|
||||
|
||||
num_int2_u2_j1b2 += tmp2 * tmp3
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_int2_u2_j1b2
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_int2_grad1u2_grad2u2_j1b2(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 \frac{-[erf(mu r12) -1]^2}{4} \phi_i(r2) \phi_j(r2) x v_1b(r2)^2
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint, i_fit
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: dx, dy, dz, r12, x2, tmp1, tmp2, tmp3, coef, expo
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_int2_grad1u2_grad2u2_j1b2 = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
x2 = dx * dx + dy * dy + dz * dz
|
||||
r12 = dsqrt(x2)
|
||||
|
||||
tmp1 = j1b_nucl(r2)
|
||||
tmp2 = tmp1 * tmp1 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint)
|
||||
|
||||
!tmp3 = 0.d0
|
||||
!do i_fit = 1, n_max_fit_slat
|
||||
! expo = expo_gauss_1_erf_x_2(i_fit)
|
||||
! coef = coef_gauss_1_erf_x_2(i_fit)
|
||||
! tmp3 += coef * dexp(-expo*x2)
|
||||
!enddo
|
||||
tmp3 = derf(mu_erf*r12) - 1.d0
|
||||
tmp3 = tmp3 * tmp3
|
||||
|
||||
tmp3 = -0.25d0 * tmp3
|
||||
|
||||
num_int2_grad1u2_grad2u2_j1b2 += tmp2 * tmp3
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_int2_grad1u2_grad2u2_j1b2
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_v_ij_erf_rk_cst_mu_j1b(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 [erf(mu r12) -1]/r12 \phi_i(r2) \phi_j(r2) x v_1b(r2)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: dx, dy, dz, r12, tmp1, tmp2
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_v_ij_erf_rk_cst_mu_j1b = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
r12 = dsqrt( dx * dx + dy * dy + dz * dz )
|
||||
if(r12 .lt. 1d-10) cycle
|
||||
|
||||
tmp1 = (derf(mu_erf * r12) - 1.d0) / r12
|
||||
tmp2 = tmp1 * ao_value(i, r2) * ao_value(j, r2) * j1b_nucl(r2) * final_weight_at_r_vector(jpoint)
|
||||
|
||||
num_v_ij_erf_rk_cst_mu_j1b += tmp2
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
! ---
|
||||
|
||||
subroutine num_x_v_ij_erf_rk_cst_mu_j1b(i, j, ipoint, integ)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 [erf(mu r12) -1]/r12 \phi_i(r2) \phi_j(r2) x v_1b(r2) x r2
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
double precision, intent(out) :: integ(3)
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3), grad(3)
|
||||
double precision :: dx, dy, dz, r12, tmp1, tmp2
|
||||
double precision :: tmp_x, tmp_y, tmp_z
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
tmp_x = 0.d0
|
||||
tmp_y = 0.d0
|
||||
tmp_z = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
r12 = dsqrt( dx * dx + dy * dy + dz * dz )
|
||||
if(r12 .lt. 1d-10) cycle
|
||||
|
||||
tmp1 = (derf(mu_erf * r12) - 1.d0) / r12
|
||||
tmp2 = tmp1 * ao_value(i, r2) * ao_value(j, r2) * j1b_nucl(r2) * final_weight_at_r_vector(jpoint)
|
||||
|
||||
tmp_x += tmp2 * r2(1)
|
||||
tmp_y += tmp2 * r2(2)
|
||||
tmp_z += tmp2 * r2(3)
|
||||
enddo
|
||||
|
||||
integ(1) = tmp_x
|
||||
integ(2) = tmp_y
|
||||
integ(3) = tmp_z
|
||||
|
||||
return
|
||||
end subroutine num_x_v_ij_erf_rk_cst_mu_j1b
|
||||
|
||||
! ---
|
||||
|
||||
subroutine num_int2_grad1_u12_ao(i, j, ipoint, integ)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 [-grad_1 u12] \phi_i(r2) \phi_j(r2) x v12_1b(r1, r2)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
double precision, intent(out) :: integ(3)
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: tmp, r1(3), r2(3), grad(3)
|
||||
double precision :: tmp_x, tmp_y, tmp_z
|
||||
|
||||
double precision, external :: ao_value
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
tmp_x = 0.d0
|
||||
tmp_y = 0.d0
|
||||
tmp_z = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
tmp = ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint)
|
||||
|
||||
call grad1_jmu_modif_num(r1, r2, grad)
|
||||
|
||||
tmp_x += tmp * (-1.d0 * grad(1))
|
||||
tmp_y += tmp * (-1.d0 * grad(2))
|
||||
tmp_z += tmp * (-1.d0 * grad(3))
|
||||
enddo
|
||||
|
||||
integ(1) = tmp_x
|
||||
integ(2) = tmp_y
|
||||
integ(3) = tmp_z
|
||||
|
||||
return
|
||||
end subroutine num_int2_grad1_u12_ao
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_gradu_squared_u_ij_mu(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! -0.50 x \int r2 \phi_i(2) \phi_j(2) x v2^2
|
||||
! [ v1^2 ((grad_1 u12)^2 + (grad_2 u12^2)])
|
||||
! + u12^2 (grad_1 v1)^2
|
||||
! + 2 u12 v1 (grad_1 u12) . (grad_1 v1)
|
||||
!
|
||||
END_DOC
|
||||
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: tmp_x, tmp_y, tmp_z, r12
|
||||
double precision :: dx1_v1, dy1_v1, dz1_v1, grad_u12(3)
|
||||
double precision :: tmp1, v1_tmp, v2_tmp, u12_tmp
|
||||
double precision :: fst_term, scd_term, thd_term, tmp
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: j12_mu
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_gradu_squared_u_ij_mu = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
tmp_x = r1(1) - r2(1)
|
||||
tmp_y = r1(2) - r2(2)
|
||||
tmp_z = r1(3) - r2(3)
|
||||
r12 = dsqrt(tmp_x*tmp_x + tmp_y*tmp_y + tmp_z*tmp_z)
|
||||
|
||||
dx1_v1 = grad_x_j1b_nucl(r1)
|
||||
dy1_v1 = grad_y_j1b_nucl(r1)
|
||||
dz1_v1 = grad_z_j1b_nucl(r1)
|
||||
|
||||
call grad1_j12_mu_exc(r1, r2, grad_u12)
|
||||
|
||||
tmp1 = 1.d0 - derf(mu_erf * r12)
|
||||
v1_tmp = j1b_nucl(r1)
|
||||
v2_tmp = j1b_nucl(r2)
|
||||
u12_tmp = j12_mu(r1, r2)
|
||||
|
||||
fst_term = 0.5d0 * tmp1 * tmp1 * v1_tmp * v1_tmp
|
||||
scd_term = u12_tmp * u12_tmp * (dx1_v1*dx1_v1 + dy1_v1*dy1_v1 + dz1_v1*dz1_v1)
|
||||
thd_term = 2.d0 * v1_tmp * u12_tmp * (dx1_v1*grad_u12(1) + dy1_v1*grad_u12(2) + dz1_v1*grad_u12(3))
|
||||
|
||||
tmp = -0.5d0 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint) * (fst_term + scd_term + thd_term) * v2_tmp * v2_tmp
|
||||
|
||||
num_gradu_squared_u_ij_mu += tmp
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_gradu_squared_u_ij_mu
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_grad12_j12(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! -0.50 x \int r2 \phi_i(2) \phi_j(2) x v2^2 [v1^2 ((grad_1 u12)^2 + (grad_2 u12^2)]) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: tmp_x, tmp_y, tmp_z, r12
|
||||
double precision :: dx1_v1, dy1_v1, dz1_v1, grad_u12(3)
|
||||
double precision :: tmp1, v1_tmp, v2_tmp, u12_tmp
|
||||
double precision :: fst_term, scd_term, thd_term, tmp
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: j12_mu
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_grad12_j12 = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
tmp_x = r1(1) - r2(1)
|
||||
tmp_y = r1(2) - r2(2)
|
||||
tmp_z = r1(3) - r2(3)
|
||||
r12 = dsqrt(tmp_x*tmp_x + tmp_y*tmp_y + tmp_z*tmp_z)
|
||||
|
||||
dx1_v1 = grad_x_j1b_nucl(r1)
|
||||
dy1_v1 = grad_y_j1b_nucl(r1)
|
||||
dz1_v1 = grad_z_j1b_nucl(r1)
|
||||
|
||||
call grad1_j12_mu_exc(r1, r2, grad_u12)
|
||||
|
||||
tmp1 = 1.d0 - derf(mu_erf * r12)
|
||||
v1_tmp = j1b_nucl(r1)
|
||||
v2_tmp = j1b_nucl(r2)
|
||||
u12_tmp = j12_mu(r1, r2)
|
||||
|
||||
fst_term = 0.5d0 * tmp1 * tmp1 * v1_tmp * v1_tmp
|
||||
|
||||
tmp = -0.5d0 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint) * fst_term * v2_tmp * v2_tmp
|
||||
|
||||
num_grad12_j12 += tmp
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_grad12_j12
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_u12sq_j1bsq(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! -0.50 x \int r2 \phi_i(2) \phi_j(2) x v2^2 [ u12^2 (grad_1 v1)^2 ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: tmp_x, tmp_y, tmp_z, r12
|
||||
double precision :: dx1_v1, dy1_v1, dz1_v1, grad_u12(3)
|
||||
double precision :: tmp1, v1_tmp, v2_tmp, u12_tmp
|
||||
double precision :: fst_term, scd_term, thd_term, tmp
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: j12_mu
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_u12sq_j1bsq = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
tmp_x = r1(1) - r2(1)
|
||||
tmp_y = r1(2) - r2(2)
|
||||
tmp_z = r1(3) - r2(3)
|
||||
r12 = dsqrt(tmp_x*tmp_x + tmp_y*tmp_y + tmp_z*tmp_z)
|
||||
|
||||
dx1_v1 = grad_x_j1b_nucl(r1)
|
||||
dy1_v1 = grad_y_j1b_nucl(r1)
|
||||
dz1_v1 = grad_z_j1b_nucl(r1)
|
||||
|
||||
call grad1_j12_mu_exc(r1, r2, grad_u12)
|
||||
|
||||
tmp1 = 1.d0 - derf(mu_erf * r12)
|
||||
v1_tmp = j1b_nucl(r1)
|
||||
v2_tmp = j1b_nucl(r2)
|
||||
u12_tmp = j12_mu(r1, r2)
|
||||
|
||||
scd_term = u12_tmp * u12_tmp * (dx1_v1*dx1_v1 + dy1_v1*dy1_v1 + dz1_v1*dz1_v1)
|
||||
|
||||
tmp = -0.5d0 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint) * scd_term * v2_tmp * v2_tmp
|
||||
|
||||
num_u12sq_j1bsq += tmp
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_u12sq_j1bsq
|
||||
|
||||
! ---
|
||||
|
||||
double precision function num_u12_grad1_u12_j1b_grad1_j1b(i, j, ipoint)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! -0.50 x \int r2 \phi_i(2) \phi_j(2) x v2^2 [ 2 u12 v1 (grad_1 u12) . (grad_1 v1) ]
|
||||
!
|
||||
END_DOC
|
||||
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3)
|
||||
double precision :: tmp_x, tmp_y, tmp_z, r12
|
||||
double precision :: dx1_v1, dy1_v1, dz1_v1, grad_u12(3)
|
||||
double precision :: tmp1, v1_tmp, v2_tmp, u12_tmp
|
||||
double precision :: fst_term, scd_term, thd_term, tmp
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: j12_mu
|
||||
double precision, external :: grad_x_j1b_nucl
|
||||
double precision, external :: grad_y_j1b_nucl
|
||||
double precision, external :: grad_z_j1b_nucl
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
num_u12_grad1_u12_j1b_grad1_j1b = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
|
||||
tmp_x = r1(1) - r2(1)
|
||||
tmp_y = r1(2) - r2(2)
|
||||
tmp_z = r1(3) - r2(3)
|
||||
r12 = dsqrt(tmp_x*tmp_x + tmp_y*tmp_y + tmp_z*tmp_z)
|
||||
|
||||
dx1_v1 = grad_x_j1b_nucl(r1)
|
||||
dy1_v1 = grad_y_j1b_nucl(r1)
|
||||
dz1_v1 = grad_z_j1b_nucl(r1)
|
||||
|
||||
call grad1_j12_mu_exc(r1, r2, grad_u12)
|
||||
|
||||
tmp1 = 1.d0 - derf(mu_erf * r12)
|
||||
v1_tmp = j1b_nucl(r1)
|
||||
v2_tmp = j1b_nucl(r2)
|
||||
u12_tmp = j12_mu(r1, r2)
|
||||
|
||||
thd_term = 2.d0 * v1_tmp * u12_tmp * (dx1_v1*grad_u12(1) + dy1_v1*grad_u12(2) + dz1_v1*grad_u12(3))
|
||||
|
||||
tmp = -0.5d0 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint) * thd_term * v2_tmp * v2_tmp
|
||||
|
||||
num_u12_grad1_u12_j1b_grad1_j1b += tmp
|
||||
enddo
|
||||
|
||||
return
|
||||
end function num_u12_grad1_u12_j1b_grad1_j1b
|
||||
|
||||
! ---
|
||||
|
||||
subroutine num_int2_u_grad1u_total_j1b2(i, j, ipoint, integ)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! \int dr2 u12 (grad_1 u12) \phi_i(r2) \phi_j(r2) x v_1b(r2)^2
|
||||
!
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: i, j, ipoint
|
||||
double precision, intent(out) :: integ(3)
|
||||
|
||||
integer :: jpoint
|
||||
double precision :: r1(3), r2(3), grad(3)
|
||||
double precision :: dx, dy, dz, r12, tmp0, tmp1, tmp2
|
||||
double precision :: tmp_x, tmp_y, tmp_z
|
||||
|
||||
double precision, external :: ao_value
|
||||
double precision, external :: j1b_nucl
|
||||
double precision, external :: j12_mu
|
||||
|
||||
r1(1) = final_grid_points(1,ipoint)
|
||||
r1(2) = final_grid_points(2,ipoint)
|
||||
r1(3) = final_grid_points(3,ipoint)
|
||||
|
||||
tmp_x = 0.d0
|
||||
tmp_y = 0.d0
|
||||
tmp_z = 0.d0
|
||||
do jpoint = 1, n_points_final_grid
|
||||
r2(1) = final_grid_points(1,jpoint)
|
||||
r2(2) = final_grid_points(2,jpoint)
|
||||
r2(3) = final_grid_points(3,jpoint)
|
||||
dx = r1(1) - r2(1)
|
||||
dy = r1(2) - r2(2)
|
||||
dz = r1(3) - r2(3)
|
||||
r12 = dsqrt( dx * dx + dy * dy + dz * dz )
|
||||
if(r12 .lt. 1d-10) cycle
|
||||
|
||||
tmp0 = j1b_nucl(r2)
|
||||
tmp1 = 0.5d0 * j12_mu(r1, r2) * (1.d0 - derf(mu_erf * r12)) / r12
|
||||
tmp2 = tmp0 * tmp0 * tmp1 * ao_value(i, r2) * ao_value(j, r2) * final_weight_at_r_vector(jpoint)
|
||||
|
||||
tmp_x += tmp2 * dx
|
||||
tmp_y += tmp2 * dy
|
||||
tmp_z += tmp2 * dz
|
||||
enddo
|
||||
|
||||
integ(1) = tmp_x
|
||||
integ(2) = tmp_y
|
||||
integ(3) = tmp_z
|
||||
|
||||
return
|
||||
end subroutine num_int2_u_grad1u_total_j1b2
|
||||
|
||||
! ---
|
60
src/non_h_ints_mu/total_tc_int.irp.f
Normal file
60
src/non_h_ints_mu/total_tc_int.irp.f
Normal file
@ -0,0 +1,60 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, ao_tc_int_chemist, (ao_num, ao_num, ao_num, ao_num)]
|
||||
|
||||
implicit none
|
||||
integer :: i, j, k, l
|
||||
double precision :: wall1, wall0
|
||||
|
||||
call wall_time(wall0)
|
||||
|
||||
do j = 1, ao_num
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
ao_tc_int_chemist(k,i,l,j) = tc_grad_square_ao(k,i,l,j) + tc_grad_and_lapl_ao(k,i,l,j) + ao_two_e_coul(k,i,l,j)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
call wall_time(wall1)
|
||||
print *, ' wall time for ao_tc_int_chemist ', wall1 - wall0
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [double precision, ao_two_e_coul, (ao_num, ao_num, ao_num, ao_num) ]
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! ao_two_e_coul(k,i,l,j) = ( k i | 1/r12 | l j ) = < l k | 1/r12 | j i >
|
||||
!
|
||||
END_DOC
|
||||
|
||||
integer :: i, j, k, l
|
||||
double precision :: integral
|
||||
double precision, external :: get_ao_two_e_integral
|
||||
|
||||
PROVIDE ao_integrals_map
|
||||
|
||||
do j = 1, ao_num
|
||||
do l = 1, ao_num
|
||||
do i = 1, ao_num
|
||||
do k = 1, ao_num
|
||||
|
||||
! < 1:k, 2:l | 1:i, 2:j >
|
||||
integral = get_ao_two_e_integral(i, j, k, l, ao_integrals_map)
|
||||
|
||||
ao_two_e_coul(k,i,l,j) = integral
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
53
src/tc_bi_ortho/compute_deltamu_right.irp.f
Normal file
53
src/tc_bi_ortho/compute_deltamu_right.irp.f
Normal file
@ -0,0 +1,53 @@
|
||||
program compute_deltamu_right
|
||||
|
||||
implicit none
|
||||
|
||||
my_grid_becke = .True.
|
||||
my_n_pt_r_grid = 30
|
||||
my_n_pt_a_grid = 50
|
||||
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
|
||||
|
||||
read_wf = .True.
|
||||
touch read_wf
|
||||
|
||||
PROVIDE N_int
|
||||
call delta_right()
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
subroutine delta_right()
|
||||
|
||||
implicit none
|
||||
integer :: k
|
||||
double precision, allocatable :: delta(:,:)
|
||||
|
||||
print *, j1b_type
|
||||
print *, j1b_pen
|
||||
print *, mu_erf
|
||||
|
||||
allocate( delta(N_det,N_states) )
|
||||
delta = 0.d0
|
||||
|
||||
do k = 1, N_states
|
||||
!do k = 1, 1
|
||||
|
||||
! get < I_left | H_mu - H | psi_right >
|
||||
!call get_h_bitc_right(psi_det, psi_r_coef_bi_ortho(:,k), N_det, N_int, delta(:,k))
|
||||
call get_delta_bitc_right(psi_det, psi_r_coef_bi_ortho(:,k), N_det, N_int, delta(:,k))
|
||||
|
||||
! order as QMCCHEM
|
||||
call dset_order(delta(:,k), psi_bilinear_matrix_order, N_det)
|
||||
|
||||
enddo
|
||||
|
||||
! call ezfio_set_dmc_dress_dmc_delta_h(delta)
|
||||
|
||||
deallocate(delta)
|
||||
|
||||
return
|
||||
end subroutine delta_right
|
||||
|
||||
! ---
|
||||
|
155
src/tc_bi_ortho/dressing_vectors_lr.irp.f
Normal file
155
src/tc_bi_ortho/dressing_vectors_lr.irp.f
Normal file
@ -0,0 +1,155 @@
|
||||
|
||||
! ---
|
||||
|
||||
subroutine get_delta_bitc_right(psidet, psicoef, ndet, Nint, delta)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! delta(I) = < I_left | H_TC - H | Psi_right >
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: ndet, Nint
|
||||
double precision, intent(in) :: psicoef(ndet)
|
||||
integer(bit_kind), intent(in) :: psidet(Nint,2,ndet)
|
||||
double precision, intent(out) :: delta(ndet)
|
||||
|
||||
integer :: i, j
|
||||
double precision :: h_mono, h_twoe, h_tot
|
||||
double precision :: htc_mono, htc_twoe, htc_three, htc_tot
|
||||
double precision :: delta_mat
|
||||
|
||||
print *, ' get_delta_bitc_right ...'
|
||||
|
||||
i = 1
|
||||
j = 1
|
||||
call htilde_mu_mat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, htc_mono, htc_twoe, htc_three, htc_tot)
|
||||
call hmat_bi_ortho (psidet(1,1,i), psidet(1,1,j), Nint, h_mono, h_twoe, h_tot)
|
||||
|
||||
delta = 0.d0
|
||||
!$OMP PARALLEL DO DEFAULT(NONE) SCHEDULE(dynamic,8) &
|
||||
!$OMP SHARED(delta, ndet, psidet, psicoef, Nint) &
|
||||
!$OMP PRIVATE(i, j, delta_mat, h_mono, h_twoe, h_tot, &
|
||||
!$OMP htc_mono, htc_twoe, htc_three, htc_tot)
|
||||
do i = 1, ndet
|
||||
do j = 1, ndet
|
||||
|
||||
! < I | Htilde | J >
|
||||
call htilde_mu_mat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, htc_mono, htc_twoe, htc_three, htc_tot)
|
||||
! < I | H | J >
|
||||
call hmat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, h_mono, h_twoe, h_tot)
|
||||
|
||||
delta_mat = htc_tot - h_tot
|
||||
|
||||
delta(i) = delta(i) + psicoef(j) * delta_mat
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END PARALLEL DO
|
||||
|
||||
end subroutine get_delta_bitc_right
|
||||
|
||||
! ---
|
||||
|
||||
subroutine get_htc_bitc_right(psidet, psicoef, ndet, Nint, delta)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! delta(I) = < I_left | H_TC | Psi_right >
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: ndet, Nint
|
||||
double precision, intent(in) :: psicoef(ndet)
|
||||
integer(bit_kind), intent(in) :: psidet(Nint,2,ndet)
|
||||
double precision, intent(out) :: delta(ndet)
|
||||
|
||||
integer :: i, j
|
||||
double precision :: htc_mono, htc_twoe, htc_three, htc_tot
|
||||
|
||||
print *, ' get_htc_bitc_right ...'
|
||||
|
||||
i = 1
|
||||
j = 1
|
||||
call htilde_mu_mat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, htc_mono, htc_twoe, htc_three, htc_tot)
|
||||
|
||||
delta = 0.d0
|
||||
!$OMP PARALLEL DO DEFAULT(NONE) SCHEDULE(dynamic,8) &
|
||||
!$OMP SHARED(delta, ndet, psidet, psicoef, Nint) &
|
||||
!$OMP PRIVATE(i, j, htc_mono, htc_twoe, htc_three, htc_tot)
|
||||
do i = 1, ndet
|
||||
do j = 1, ndet
|
||||
|
||||
! < I | Htilde | J >
|
||||
call htilde_mu_mat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, htc_mono, htc_twoe, htc_three, htc_tot)
|
||||
|
||||
delta(i) = delta(i) + psicoef(j) * htc_tot
|
||||
enddo
|
||||
enddo
|
||||
!$OMP END PARALLEL DO
|
||||
|
||||
end subroutine get_htc_bitc_right
|
||||
|
||||
! ---
|
||||
|
||||
subroutine get_h_bitc_right(psidet, psicoef, ndet, Nint, delta)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! delta(I) = < I_left | H | Psi_right >
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: ndet, Nint
|
||||
double precision, intent(in) :: psicoef(ndet)
|
||||
integer(bit_kind), intent(in) :: psidet(Nint,2,ndet)
|
||||
double precision, intent(out) :: delta(ndet)
|
||||
|
||||
integer :: i, j
|
||||
double precision :: h_mono, h_twoe, h_tot
|
||||
|
||||
print *, ' get_h_bitc_right ...'
|
||||
|
||||
i = 1
|
||||
j = 1
|
||||
call hmat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, h_mono, h_twoe, h_tot)
|
||||
|
||||
!double precision :: norm
|
||||
!norm = 0.d0
|
||||
!do i = 1, ndet
|
||||
! norm += psicoef(i) * psicoef(i)
|
||||
!enddo
|
||||
!print*, ' norm = ', norm
|
||||
|
||||
call hmat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, h_mono, h_twoe, h_tot)
|
||||
|
||||
delta = 0.d0
|
||||
! !$OMP PARALLEL DO DEFAULT(NONE) SCHEDULE(dynamic,8) &
|
||||
! !$OMP SHARED(delta, ndet, psidet, psicoef, Nint) &
|
||||
! !$OMP PRIVATE(i, j, h_mono, h_twoe, h_tot)
|
||||
do i = 1, ndet
|
||||
do j = 1, ndet
|
||||
|
||||
! < I | H | J >
|
||||
call hmat_bi_ortho(psidet(1,1,i), psidet(1,1,j), Nint, h_mono, h_twoe, h_tot)
|
||||
|
||||
delta(i) = delta(i) + psicoef(j) * h_tot
|
||||
enddo
|
||||
enddo
|
||||
! !$OMP END PARALLEL DO
|
||||
|
||||
end subroutine get_h_bitc_right
|
||||
|
||||
! ---
|
||||
|
243
src/tc_bi_ortho/h_biortho.irp.f
Normal file
243
src/tc_bi_ortho/h_biortho.irp.f
Normal file
@ -0,0 +1,243 @@
|
||||
|
||||
! --
|
||||
|
||||
subroutine hmat_bi_ortho(key_j, key_i, Nint, hmono, htwoe, htot)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! < key_j | H | key_i > where | key_j > is developed on the LEFT basis and | key_i > is developed on the RIGHT basis
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: Nint
|
||||
integer(bit_kind), intent(in) :: key_i(Nint,2), key_j(Nint,2)
|
||||
double precision, intent(out) :: hmono, htwoe, htot
|
||||
|
||||
integer :: degree
|
||||
|
||||
hmono = 0.d0
|
||||
htwoe = 0.d0
|
||||
htot = 0.d0
|
||||
|
||||
call get_excitation_degree(key_i, key_j, degree, Nint)
|
||||
if(degree .gt. 2) return
|
||||
|
||||
if(degree == 0) then
|
||||
|
||||
call diag_hmat_bi_ortho(Nint, key_i, hmono, htwoe)
|
||||
htot = htot + nuclear_repulsion
|
||||
|
||||
else if (degree == 1) then
|
||||
|
||||
call single_hmat_bi_ortho(Nint, key_j, key_i, hmono, htwoe)
|
||||
|
||||
else if(degree == 2) then
|
||||
|
||||
call double_hmat_bi_ortho(Nint, key_j, key_i, hmono, htwoe)
|
||||
|
||||
endif
|
||||
|
||||
htot += hmono + htwoe
|
||||
|
||||
return
|
||||
end subroutine hmat_bi_ortho
|
||||
|
||||
! ---
|
||||
|
||||
subroutine diag_hmat_bi_ortho(Nint, key_i, hmono, htwoe)
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: Nint
|
||||
integer(bit_kind), intent(in) :: key_i(Nint,2)
|
||||
double precision, intent(out) :: hmono, htwoe
|
||||
|
||||
integer :: occ(Nint*bit_kind_size,2)
|
||||
integer :: Ne(2), i, j, ii, jj, ispin, jspin
|
||||
|
||||
hmono = 0.d0
|
||||
htwoe = 0.d0
|
||||
|
||||
call bitstring_to_list_ab(key_i, occ, Ne, Nint)
|
||||
|
||||
do ispin = 1, 2
|
||||
do i = 1, Ne(ispin)
|
||||
ii = occ(i,ispin)
|
||||
hmono += mo_bi_ortho_one_e(ii,ii)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
! alpha/beta two-body
|
||||
ispin = 1
|
||||
jspin = 2
|
||||
do i = 1, Ne(ispin) ! electron 1
|
||||
ii = occ(i,ispin)
|
||||
do j = 1, Ne(jspin) ! electron 2
|
||||
jj = occ(j,jspin)
|
||||
htwoe += mo_bi_ortho_coul_e(jj,ii,jj,ii)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
! alpha/alpha two-body
|
||||
do i = 1, Ne(ispin)
|
||||
ii = occ(i,ispin)
|
||||
do j = i+1, Ne(ispin)
|
||||
jj = occ(j,ispin)
|
||||
htwoe += mo_bi_ortho_coul_e(ii,jj,ii,jj) - mo_bi_ortho_coul_e(ii,jj,jj,ii)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
! beta/beta two-body
|
||||
do i = 1, Ne(jspin)
|
||||
ii = occ(i,jspin)
|
||||
do j = i+1, Ne(jspin)
|
||||
jj = occ(j,jspin)
|
||||
htwoe += mo_bi_ortho_coul_e(ii,jj,ii,jj) - mo_bi_ortho_coul_e(ii,jj,jj,ii)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine diag_hmat_bi_ortho
|
||||
|
||||
! ---
|
||||
|
||||
subroutine single_hmat_bi_ortho(Nint, key_j, key_i, hmono, htwoe)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! < key_j | H | key_i > for single excitation
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: Nint
|
||||
integer(bit_kind), intent(in) :: key_j(Nint,2), key_i(Nint,2)
|
||||
double precision, intent(out) :: hmono, htwoe
|
||||
|
||||
integer :: occ(Nint*bit_kind_size,2)
|
||||
integer :: Ne(2), i, j, ii, ispin, jspin
|
||||
integer :: degree,exc(0:2,2,2)
|
||||
integer :: h1, p1, h2, p2, s1, s2
|
||||
integer :: other_spin(2)
|
||||
double precision :: phase
|
||||
|
||||
other_spin(1) = 2
|
||||
other_spin(2) = 1
|
||||
|
||||
hmono = 0.d0
|
||||
htwoe = 0.d0
|
||||
|
||||
call get_excitation_degree(key_i, key_j, degree, Nint)
|
||||
if(degree .ne. 1) then
|
||||
return
|
||||
endif
|
||||
|
||||
call bitstring_to_list_ab(key_i, occ, Ne, Nint)
|
||||
|
||||
call get_single_excitation(key_i, key_j, exc, phase, Nint)
|
||||
call decode_exc(exc, 1, h1, p1, h2, p2, s1, s2)
|
||||
|
||||
hmono = mo_bi_ortho_one_e(p1,h1) * phase
|
||||
|
||||
! alpha/beta two-body
|
||||
ispin = other_spin(s1)
|
||||
if(s1 == 1) then
|
||||
|
||||
! single alpha
|
||||
do i = 1, Ne(ispin) ! electron 2
|
||||
ii = occ(i,ispin)
|
||||
htwoe += mo_bi_ortho_coul_e(ii,p1,ii,h1)
|
||||
enddo
|
||||
|
||||
else
|
||||
|
||||
! single beta
|
||||
do i = 1, Ne(ispin) ! electron 1
|
||||
ii = occ(i,ispin)
|
||||
htwoe += mo_bi_ortho_coul_e(p1,ii,h1,ii)
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
! same spin two-body
|
||||
do i = 1, Ne(s1)
|
||||
ii = occ(i,s1)
|
||||
! ( h1 p1 |ii ii ) - ( h1 ii | p1 ii )
|
||||
htwoe += mo_bi_ortho_coul_e(ii,p1,ii,h1) - mo_bi_ortho_coul_e(p1,ii,ii,h1)
|
||||
enddo
|
||||
|
||||
htwoe *= phase
|
||||
|
||||
end subroutine single_hmat_bi_ortho
|
||||
|
||||
! ---
|
||||
|
||||
subroutine double_hmat_bi_ortho(Nint, key_j, key_i, hmono, htwoe)
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! < key_j | H | key_i> for double excitation
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: Nint
|
||||
integer(bit_kind), intent(in) :: key_j(Nint,2), key_i(Nint,2)
|
||||
double precision, intent(out) :: hmono, htwoe
|
||||
|
||||
integer :: occ(Nint*bit_kind_size,2)
|
||||
integer :: Ne(2), i, j, ii, ispin, jspin
|
||||
integer :: degree,exc(0:2,2,2)
|
||||
integer :: h1, p1, h2, p2, s1, s2
|
||||
integer :: other_spin(2)
|
||||
double precision :: phase
|
||||
|
||||
other_spin(1) = 2
|
||||
other_spin(2) = 1
|
||||
|
||||
call get_excitation_degree(key_i, key_j, degree, Nint)
|
||||
|
||||
hmono = 0.d0
|
||||
htwoe = 0.d0
|
||||
|
||||
if(degree .ne. 2) then
|
||||
return
|
||||
endif
|
||||
|
||||
call bitstring_to_list_ab(key_i, occ, Ne, Nint)
|
||||
|
||||
call get_double_excitation(key_i, key_j, exc, phase, Nint)
|
||||
call decode_exc(exc, 2, h1, p1, h2, p2, s1, s2)
|
||||
|
||||
if(s1 .ne. s2) then
|
||||
|
||||
htwoe = mo_bi_ortho_coul_e(p2,p1,h2,h1)
|
||||
|
||||
else
|
||||
|
||||
! same spin two-body
|
||||
|
||||
! direct terms exchange terms
|
||||
htwoe = mo_bi_ortho_coul_e(p2,p1,h2,h1) - mo_bi_ortho_coul_e(p1,p2,h2,h1)
|
||||
|
||||
endif
|
||||
|
||||
htwoe *= phase
|
||||
|
||||
end subroutine double_hmat_bi_ortho
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -41,6 +41,15 @@ BEGIN_PROVIDER [ double precision, psi_l_coef_bi_ortho, (psi_det_size,N_states)
|
||||
enddo
|
||||
deallocate(psi_l_coef_bi_ortho_read)
|
||||
|
||||
else
|
||||
|
||||
print*, 'psi_l_coef_bi_ortho are psi_coef'
|
||||
do k=1,N_states
|
||||
do i=1,N_det
|
||||
psi_l_coef_bi_ortho(i,k) = psi_coef(i,k)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
endif
|
||||
endif
|
||||
endif
|
||||
@ -100,6 +109,15 @@ BEGIN_PROVIDER [ double precision, psi_r_coef_bi_ortho, (psi_det_size,N_states)
|
||||
enddo
|
||||
deallocate(psi_r_coef_bi_ortho_read)
|
||||
|
||||
else
|
||||
|
||||
print*, 'psi_r_coef_bi_ortho are psi_coef'
|
||||
do k=1,N_states
|
||||
do i=1,N_det
|
||||
psi_r_coef_bi_ortho(i,k) = psi_coef(i,k)
|
||||
enddo
|
||||
enddo
|
||||
|
||||
endif
|
||||
endif
|
||||
endif
|
||||
|
@ -1,61 +0,0 @@
|
||||
program tc_bi_ortho
|
||||
implicit none
|
||||
BEGIN_DOC
|
||||
! TODO : Put the documentation of the program here
|
||||
END_DOC
|
||||
print *, 'Hello world'
|
||||
my_grid_becke = .True.
|
||||
my_n_pt_r_grid = 30
|
||||
my_n_pt_a_grid = 50
|
||||
read_wf = .True.
|
||||
touch read_wf
|
||||
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
|
||||
|
||||
!!!!!!!!!!!!!!! WARNING NO 3-BODY
|
||||
!!!!!!!!!!!!!!! WARNING NO 3-BODY
|
||||
three_body_h_tc = .False.
|
||||
touch three_body_h_tc
|
||||
!!!!!!!!!!!!!!! WARNING NO 3-BODY
|
||||
!!!!!!!!!!!!!!! WARNING NO 3-BODY
|
||||
|
||||
call routine_test
|
||||
! call test
|
||||
end
|
||||
|
||||
subroutine routine_test
|
||||
implicit none
|
||||
use bitmasks ! you need to include the bitmasks_module.f90 features
|
||||
integer :: i,n_good,degree
|
||||
integer(bit_kind), allocatable :: dets(:,:,:)
|
||||
integer, allocatable :: iorder(:)
|
||||
double precision, allocatable :: coef(:),coef_new(:,:)
|
||||
double precision :: thr
|
||||
allocate(coef(N_det), iorder(N_det))
|
||||
do i = 1, N_det
|
||||
iorder(i) = i
|
||||
call get_excitation_degree(HF_bitmask,psi_det(1,1,i),degree,N_int)
|
||||
if(degree==1)then
|
||||
coef(i) = -0.5d0
|
||||
else
|
||||
coef(i) = -dabs(coef_pt1_bi_ortho(i))
|
||||
endif
|
||||
enddo
|
||||
call dsort(coef,iorder,N_det)
|
||||
!thr = save_threshold
|
||||
thr = 1d-15
|
||||
n_good = 0
|
||||
do i = 1, N_det
|
||||
if(dabs(coef(i)).gt.thr)then
|
||||
n_good += 1
|
||||
endif
|
||||
enddo
|
||||
print*,'n_good = ',n_good
|
||||
allocate(dets(N_int,2,n_good),coef_new(n_good,n_states))
|
||||
do i = 1, n_good
|
||||
dets(:,:,i) = psi_det(:,:,iorder(i))
|
||||
coef_new(i,:) = psi_coef(iorder(i),:)
|
||||
enddo
|
||||
call save_wavefunction_general(n_good,n_states,dets,n_good,coef_new)
|
||||
|
||||
|
||||
end
|
@ -1,4 +1,6 @@
|
||||
!!!!!!
|
||||
|
||||
! ---
|
||||
|
||||
subroutine htilde_mu_mat_bi_ortho_tot(key_j, key_i, Nint, htot)
|
||||
|
||||
BEGIN_DOC
|
||||
@ -15,41 +17,49 @@ subroutine htilde_mu_mat_bi_ortho_tot(key_j, key_i, Nint, htot)
|
||||
integer, intent(in) :: Nint
|
||||
integer(bit_kind), intent(in) :: key_j(Nint,2),key_i(Nint,2)
|
||||
double precision, intent(out) :: htot
|
||||
double precision :: hmono,htwoe,hthree
|
||||
double precision :: hmono, htwoe, hthree
|
||||
integer :: degree
|
||||
|
||||
call get_excitation_degree(key_j, key_i, degree, Nint)
|
||||
if(degree.gt.2)then
|
||||
htot = 0.d0
|
||||
else
|
||||
call htilde_mu_mat_bi_ortho(key_j,key_i, Nint, hmono,htwoe,hthree,htot)
|
||||
call htilde_mu_mat_bi_ortho(key_j, key_i, Nint, hmono, htwoe, hthree, htot)
|
||||
endif
|
||||
|
||||
end subroutine htilde_mu_mat_tot
|
||||
end subroutine htilde_mu_mat_bi_ortho_tot
|
||||
|
||||
! --
|
||||
|
||||
subroutine htilde_mu_mat_bi_ortho(key_j, key_i, Nint, hmono, htwoe, hthree, htot)
|
||||
implicit none
|
||||
use bitmasks
|
||||
|
||||
BEGIN_DOC
|
||||
!
|
||||
! <key_j | H_tilde | key_i> where |key_j> is developed on the LEFT basis and |key_i> is developed on the RIGHT basis
|
||||
!!
|
||||
! Returns the detail of the matrix element in terms of single, two and three electron contribution.
|
||||
!! WARNING !!
|
||||
!
|
||||
! Non hermitian !!
|
||||
!
|
||||
END_DOC
|
||||
|
||||
use bitmasks
|
||||
|
||||
implicit none
|
||||
integer, intent(in) :: Nint
|
||||
integer(bit_kind), intent(in) :: key_i(Nint,2),key_j(Nint,2)
|
||||
double precision, intent(out) :: hmono,htwoe,hthree,htot
|
||||
integer(bit_kind), intent(in) :: key_i(Nint,2), key_j(Nint,2)
|
||||
double precision, intent(out) :: hmono, htwoe, hthree, htot
|
||||
integer :: degree
|
||||
|
||||
hmono = 0.d0
|
||||
htwoe= 0.d0
|
||||
htwoe = 0.d0
|
||||
htot = 0.d0
|
||||
hthree = 0.D0
|
||||
|
||||
call get_excitation_degree(key_i, key_j, degree, Nint)
|
||||
if(degree.gt.2)return
|
||||
if(degree.gt.2) return
|
||||
|
||||
if(degree == 0)then
|
||||
call diag_htilde_mu_mat_bi_ortho(Nint, key_i, hmono, htwoe, htot)
|
||||
else if (degree == 1)then
|
||||
@ -57,24 +67,28 @@ subroutine htilde_mu_mat_bi_ortho(key_j, key_i, Nint, hmono, htwoe, hthree, htot
|
||||
else if(degree == 2)then
|
||||
call double_htilde_mu_mat_bi_ortho(Nint, key_j, key_i, hmono, htwoe, htot)
|
||||
endif
|
||||
|
||||
if(three_body_h_tc) then
|
||||
if(degree == 2) then
|
||||
if(.not.double_normal_ord) then
|
||||
call double_htilde_three_body_ints_bi_ort(Nint, key_j, key_i, hthree)
|
||||
endif
|
||||
else if(degree == 1)then
|
||||
else if(degree == 1) then
|
||||
call single_htilde_three_body_ints_bi_ort(Nint, key_j, key_i, hthree)
|
||||
else if(degree == 0)then
|
||||
else if(degree == 0) then
|
||||
call diag_htilde_three_body_ints_bi_ort(Nint, key_i, hthree)
|
||||
endif
|
||||
endif
|
||||
|
||||
htot = hmono + htwoe + hthree
|
||||
if(degree==0)then
|
||||
if(degree==0) then
|
||||
htot += nuclear_repulsion
|
||||
endif
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
subroutine diag_htilde_mu_mat_bi_ortho(Nint, key_i, hmono, htwoe, htot)
|
||||
|
||||
BEGIN_DOC
|
||||
|
@ -207,6 +207,8 @@ subroutine single_htilde_three_body_ints_bi_ort(Nint, key_j, key_i, hthree)
|
||||
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
subroutine double_htilde_three_body_ints_bi_ort(Nint, key_j, key_i, hthree)
|
||||
|
||||
BEGIN_DOC
|
||||
@ -244,7 +246,7 @@ subroutine double_htilde_three_body_ints_bi_ort(Nint, key_j, key_i, hthree)
|
||||
return
|
||||
endif
|
||||
|
||||
if(core_tc_op)then
|
||||
if(core_tc_op) then
|
||||
do i = 1, Nint
|
||||
key_i_core(i,1) = xor(key_i(i,1),core_bitmask(i,1))
|
||||
key_i_core(i,2) = xor(key_i(i,2),core_bitmask(i,2))
|
||||
@ -291,3 +293,6 @@ subroutine double_htilde_three_body_ints_bi_ort(Nint, key_j, key_i, hthree)
|
||||
endif
|
||||
hthree *= phase
|
||||
end
|
||||
|
||||
! ---
|
||||
|
||||
|
@ -105,3 +105,21 @@ type: integer
|
||||
doc: if +1: only positive is selected, -1: only negative is selected, :0 both positive and negative
|
||||
interface: ezfio,provider,ocaml
|
||||
default: 0
|
||||
|
||||
[j1b_pen]
|
||||
type: double precision
|
||||
doc: exponents of the 1-body Jastrow
|
||||
interface: ezfio
|
||||
size: (nuclei.nucl_num)
|
||||
|
||||
[j1b_coeff]
|
||||
type: double precision
|
||||
doc: coeff of the 1-body Jastrow
|
||||
interface: ezfio
|
||||
size: (nuclei.nucl_num)
|
||||
|
||||
[j1b_type]
|
||||
type: integer
|
||||
doc: type of 1-body Jastrow
|
||||
interface: ezfio, provider, ocaml
|
||||
default: 0
|
||||
|
@ -1 +1,2 @@
|
||||
ezfio_files
|
||||
nuclei
|
||||
|
113
src/tc_keywords/j1b_pen.irp.f
Normal file
113
src/tc_keywords/j1b_pen.irp.f
Normal file
@ -0,0 +1,113 @@
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_pen, (nucl_num) ]
|
||||
|
||||
BEGIN_DOC
|
||||
! exponents of the 1-body Jastrow
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
logical :: exists
|
||||
|
||||
PROVIDE ezfio_filename
|
||||
|
||||
if (mpi_master) then
|
||||
call ezfio_has_tc_keywords_j1b_pen(exists)
|
||||
endif
|
||||
|
||||
IRP_IF MPI_DEBUG
|
||||
print *, irp_here, mpi_rank
|
||||
call MPI_BARRIER(MPI_COMM_WORLD, ierr)
|
||||
IRP_ENDIF
|
||||
|
||||
IRP_IF MPI
|
||||
include 'mpif.h'
|
||||
integer :: ierr
|
||||
call MPI_BCAST(j1b_pen, (nucl_num), MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, ierr)
|
||||
if (ierr /= MPI_SUCCESS) then
|
||||
stop 'Unable to read j1b_pen with MPI'
|
||||
endif
|
||||
IRP_ENDIF
|
||||
|
||||
if (exists) then
|
||||
|
||||
if (mpi_master) then
|
||||
write(6,'(A)') '.. >>>>> [ IO READ: j1b_pen ] <<<<< ..'
|
||||
call ezfio_get_tc_keywords_j1b_pen(j1b_pen)
|
||||
IRP_IF MPI
|
||||
call MPI_BCAST(j1b_pen, (nucl_num), MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, ierr)
|
||||
if (ierr /= MPI_SUCCESS) then
|
||||
stop 'Unable to read j1b_pen with MPI'
|
||||
endif
|
||||
IRP_ENDIF
|
||||
endif
|
||||
|
||||
else
|
||||
|
||||
integer :: i
|
||||
do i = 1, nucl_num
|
||||
j1b_pen(i) = 1d5
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
||||
BEGIN_PROVIDER [ double precision, j1b_coeff, (nucl_num) ]
|
||||
|
||||
BEGIN_DOC
|
||||
! coefficients of the 1-body Jastrow
|
||||
END_DOC
|
||||
|
||||
implicit none
|
||||
logical :: exists
|
||||
|
||||
PROVIDE ezfio_filename
|
||||
|
||||
if (mpi_master) then
|
||||
call ezfio_has_tc_keywords_j1b_coeff(exists)
|
||||
endif
|
||||
|
||||
IRP_IF MPI_DEBUG
|
||||
print *, irp_here, mpi_rank
|
||||
call MPI_BARRIER(MPI_COMM_WORLD, ierr)
|
||||
IRP_ENDIF
|
||||
|
||||
IRP_IF MPI
|
||||
include 'mpif.h'
|
||||
integer :: ierr
|
||||
call MPI_BCAST(j1b_coeff, (nucl_num), MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, ierr)
|
||||
if (ierr /= MPI_SUCCESS) then
|
||||
stop 'Unable to read j1b_coeff with MPI'
|
||||
endif
|
||||
IRP_ENDIF
|
||||
|
||||
if (exists) then
|
||||
|
||||
if (mpi_master) then
|
||||
write(6,'(A)') '.. >>>>> [ IO READ: j1b_coeff ] <<<<< ..'
|
||||
call ezfio_get_tc_keywords_j1b_coeff(j1b_coeff)
|
||||
IRP_IF MPI
|
||||
call MPI_BCAST(j1b_coeff, (nucl_num), MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, ierr)
|
||||
if (ierr /= MPI_SUCCESS) then
|
||||
stop 'Unable to read j1b_coeff with MPI'
|
||||
endif
|
||||
IRP_ENDIF
|
||||
endif
|
||||
|
||||
else
|
||||
|
||||
integer :: i
|
||||
do i = 1, nucl_num
|
||||
j1b_coeff(i) = 0d5
|
||||
enddo
|
||||
|
||||
endif
|
||||
|
||||
END_PROVIDER
|
||||
|
||||
! ---
|
||||
|
Loading…
Reference in New Issue
Block a user