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qp2/src/ao_tc_eff_map/one_e_1bgauss_grad2.irp.f
eginer 4472a6d9be non_h_ints compiles
2023-02-06 19:00:35 +01:00

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! ---
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
!_____________________________________________________________________________________________________________
!_____________________________________________________________________________________________________________
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