2022-10-11 11:03:10 +02:00
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! ---
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2022-10-05 00:05:22 +02:00
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BEGIN_PROVIDER [ double precision, j1b_gauss_nonherm, (ao_num,ao_num)]
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BEGIN_DOC
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!
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2022-10-11 11:03:10 +02:00
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! j1b_gauss_nonherm(i,j) = \langle \chi_j | - grad \tau_{1b} \cdot grad | \chi_i \rangle
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2022-10-05 00:05:22 +02:00
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!
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END_DOC
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implicit none
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integer :: num_A, num_B
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integer :: power_A(3), power_B(3)
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integer :: i, j, k, l, m
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2022-10-11 11:03:10 +02:00
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double precision :: alpha, beta, gama, coef
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2022-10-05 00:05:22 +02:00
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double precision :: A_center(3), B_center(3), C_center(3)
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double precision :: c1, c
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integer :: dim1
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double precision :: overlap_y, d_a_2, overlap_z, overlap
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double precision :: int_gauss_deriv
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2022-10-11 11:03:10 +02:00
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PROVIDE j1b_type j1b_pen j1b_coeff
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2022-10-05 00:05:22 +02:00
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! --------------------------------------------------------------------------------
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! -- Dummy call to provide everything
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dim1 = 100
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A_center(:) = 0.d0
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B_center(:) = 1.d0
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alpha = 1.d0
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beta = 0.1d0
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power_A(:) = 1
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power_B(:) = 0
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call overlap_gaussian_xyz( A_center, B_center, alpha, beta, power_A, power_B &
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, overlap_y, d_a_2, overlap_z, overlap, dim1 )
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! --------------------------------------------------------------------------------
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j1b_gauss_nonherm(1:ao_num,1:ao_num) = 0.d0
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2022-10-11 11:03:10 +02:00
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if(j1b_type .eq. 1) then
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! \tau_1b = \sum_iA -[1 - exp(-alpha_A r_iA^2)]
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2022-10-05 00:05:22 +02:00
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, &
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!$OMP A_center, B_center, C_center, power_A, power_B, &
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!$OMP num_A, num_B, c1, c) &
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!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
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!$OMP ao_power, ao_nucl, nucl_coord, &
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!$OMP ao_coef_normalized_ordered_transp, &
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2022-10-11 11:03:10 +02:00
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!$OMP nucl_num, j1b_pen, j1b_gauss_nonherm)
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2022-10-05 00:05:22 +02:00
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!$OMP DO SCHEDULE (dynamic)
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2022-10-11 11:03:10 +02:00
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do j = 1, ao_num
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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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A_center(1:3) = nucl_coord(num_A,1:3)
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do i = 1, ao_num
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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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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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alpha = ao_expo_ordered_transp(l,j)
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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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c = 0.d0
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do k = 1, nucl_num
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gama = j1b_pen(k)
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C_center(1:3) = nucl_coord(k,1:3)
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! \langle \chi_A | exp[-gama r_C^2] r_C \cdot grad | \chi_B \rangle
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c1 = int_gauss_deriv( A_center, B_center, C_center &
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, power_A, power_B, alpha, beta, gama )
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c = c + 2.d0 * gama * c1
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enddo
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j1b_gauss_nonherm(i,j) = j1b_gauss_nonherm(i,j) &
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+ ao_coef_normalized_ordered_transp(l,j) &
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* ao_coef_normalized_ordered_transp(m,i) * c
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2022-10-05 00:05:22 +02:00
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enddo
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2022-10-11 11:03:10 +02:00
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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2022-10-05 00:05:22 +02:00
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2022-10-11 11:03:10 +02:00
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elseif(j1b_type .eq. 2) then
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! \tau_1b = \sum_iA [c_A exp(-alpha_A r_iA^2)]
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2022-10-05 00:05:22 +02:00
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2022-10-11 11:03:10 +02:00
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, j, k, l, m, alpha, beta, gama, coef, &
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!$OMP A_center, B_center, C_center, power_A, power_B, &
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!$OMP num_A, num_B, c1, c) &
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!$OMP SHARED (ao_num, ao_prim_num, ao_expo_ordered_transp, &
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!$OMP ao_power, ao_nucl, nucl_coord, &
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!$OMP ao_coef_normalized_ordered_transp, &
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!$OMP nucl_num, j1b_pen, j1b_gauss_nonherm, &
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!$OMP j1b_coeff)
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!$OMP DO SCHEDULE (dynamic)
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do j = 1, ao_num
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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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A_center(1:3) = nucl_coord(num_A,1:3)
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do i = 1, ao_num
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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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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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alpha = ao_expo_ordered_transp(l,j)
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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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c = 0.d0
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do k = 1, nucl_num
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gama = j1b_pen (k)
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coef = j1b_coeff(k)
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C_center(1:3) = nucl_coord(k,1:3)
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! \langle \chi_A | exp[-gama r_C^2] r_C \cdot grad | \chi_B \rangle
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c1 = int_gauss_deriv( A_center, B_center, C_center &
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, power_A, power_B, alpha, beta, gama )
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c = c + 2.d0 * gama * coef * c1
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enddo
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j1b_gauss_nonherm(i,j) = j1b_gauss_nonherm(i,j) &
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+ ao_coef_normalized_ordered_transp(l,j) &
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* ao_coef_normalized_ordered_transp(m,i) * c
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enddo
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2022-10-05 00:05:22 +02:00
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enddo
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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2022-10-11 11:03:10 +02:00
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endif
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2022-10-05 00:05:22 +02:00
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END_PROVIDER
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!_____________________________________________________________________________________________________________
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!
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! < XA | exp[-gama r_C^2] r_C \cdot grad | XB >
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!
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double precision function int_gauss_deriv(A_center, B_center, C_center, power_A, power_B, alpha, beta, gama)
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! for max_dim
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include 'constants.include.F'
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implicit none
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double precision, intent(in) :: A_center(3), B_center(3), C_center(3)
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integer , intent(in) :: power_A(3), power_B(3)
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double precision, intent(in) :: alpha, beta, gama
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integer :: i, power_C, dim1
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integer :: iorder(3), power_D(3)
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double precision :: AB_expo
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double precision :: fact_AB, center_AB(3), pol_AB(0:max_dim,3)
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double precision :: cx, cy, cz
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double precision :: overlap_gaussian_x
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dim1 = 100
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int_gauss_deriv = 0.d0
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! ===============
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! term I:
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! \partial_x
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! ===============
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if( power_B(1) .ge. 1 ) then
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power_D(1) = power_B(1) - 1
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power_D(2) = power_B(2)
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power_D(3) = power_B(3)
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call give_explicit_poly_and_gaussian( pol_AB, center_AB, AB_expo, fact_AB &
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, iorder, alpha, beta, power_A, power_D, A_center, B_center, dim1)
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power_C = 1
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cx = 0.d0
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do i = 0, iorder(1)
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cx = cx + pol_AB(i,1) * overlap_gaussian_x( center_AB(1), C_center(1), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cy = 0.d0
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do i = 0, iorder(2)
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cy = cy + pol_AB(i,2) * overlap_gaussian_x( center_AB(2), C_center(2), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cz = 0.d0
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do i = 0, iorder(3)
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cz = cz + pol_AB(i,3) * overlap_gaussian_x( center_AB(3), C_center(3), AB_expo, gama, i, power_C, dim1)
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enddo
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int_gauss_deriv = int_gauss_deriv + fact_AB * dble(power_B(1)) * cx * cy * cz
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endif
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! ===============
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power_D(1) = power_B(1) + 1
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power_D(2) = power_B(2)
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power_D(3) = power_B(3)
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call give_explicit_poly_and_gaussian( pol_AB, center_AB, AB_expo, fact_AB &
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, iorder, alpha, beta, power_A, power_D, A_center, B_center, dim1)
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power_C = 1
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cx = 0.d0
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do i = 0, iorder(1)
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cx = cx + pol_AB(i,1) * overlap_gaussian_x( center_AB(1), C_center(1), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cy = 0.d0
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do i = 0, iorder(2)
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cy = cy + pol_AB(i,2) * overlap_gaussian_x( center_AB(2), C_center(2), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cz = 0.d0
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do i = 0, iorder(3)
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cz = cz + pol_AB(i,3) * overlap_gaussian_x( center_AB(3), C_center(3), AB_expo, gama, i, power_C, dim1)
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enddo
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int_gauss_deriv = int_gauss_deriv - 2.d0 * beta * fact_AB * cx * cy * cz
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! ===============
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! ===============
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! ===============
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! term II:
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! \partial_y
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! ===============
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if( power_B(2) .ge. 1 ) then
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power_D(1) = power_B(1)
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power_D(2) = power_B(2) - 1
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power_D(3) = power_B(3)
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call give_explicit_poly_and_gaussian( pol_AB, center_AB, AB_expo, fact_AB &
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, iorder, alpha, beta, power_A, power_D, A_center, B_center, dim1)
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power_C = 0
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cx = 0.d0
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do i = 0, iorder(1)
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cx = cx + pol_AB(i,1) * overlap_gaussian_x( center_AB(1), C_center(1), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 1
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cy = 0.d0
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do i = 0, iorder(2)
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cy = cy + pol_AB(i,2) * overlap_gaussian_x( center_AB(2), C_center(2), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cz = 0.d0
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do i = 0, iorder(3)
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cz = cz + pol_AB(i,3) * overlap_gaussian_x( center_AB(3), C_center(3), AB_expo, gama, i, power_C, dim1)
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enddo
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int_gauss_deriv = int_gauss_deriv + fact_AB * dble(power_B(2)) * cx * cy * cz
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endif
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! ===============
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power_D(1) = power_B(1)
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power_D(2) = power_B(2) + 1
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power_D(3) = power_B(3)
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call give_explicit_poly_and_gaussian( pol_AB, center_AB, AB_expo, fact_AB &
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, iorder, alpha, beta, power_A, power_D, A_center, B_center, dim1)
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power_C = 0
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cx = 0.d0
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do i = 0, iorder(1)
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cx = cx + pol_AB(i,1) * overlap_gaussian_x( center_AB(1), C_center(1), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 1
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cy = 0.d0
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do i = 0, iorder(2)
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cy = cy + pol_AB(i,2) * overlap_gaussian_x( center_AB(2), C_center(2), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cz = 0.d0
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do i = 0, iorder(3)
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cz = cz + pol_AB(i,3) * overlap_gaussian_x( center_AB(3), C_center(3), AB_expo, gama, i, power_C, dim1)
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enddo
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int_gauss_deriv = int_gauss_deriv - 2.d0 * beta * fact_AB * cx * cy * cz
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! ===============
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! ===============
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! ===============
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! term III:
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! \partial_z
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! ===============
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if( power_B(3) .ge. 1 ) then
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power_D(1) = power_B(1)
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power_D(2) = power_B(2)
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power_D(3) = power_B(3) - 1
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call give_explicit_poly_and_gaussian( pol_AB, center_AB, AB_expo, fact_AB &
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, iorder, alpha, beta, power_A, power_D, A_center, B_center, dim1)
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power_C = 0
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cx = 0.d0
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do i = 0, iorder(1)
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cx = cx + pol_AB(i,1) * overlap_gaussian_x( center_AB(1), C_center(1), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cy = 0.d0
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do i = 0, iorder(2)
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cy = cy + pol_AB(i,2) * overlap_gaussian_x( center_AB(2), C_center(2), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 1
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cz = 0.d0
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do i = 0, iorder(3)
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cz = cz + pol_AB(i,3) * overlap_gaussian_x( center_AB(3), C_center(3), AB_expo, gama, i, power_C, dim1)
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enddo
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int_gauss_deriv = int_gauss_deriv + fact_AB * dble(power_B(3)) * cx * cy * cz
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endif
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! ===============
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power_D(1) = power_B(1)
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power_D(2) = power_B(2)
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power_D(3) = power_B(3) + 1
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call give_explicit_poly_and_gaussian( pol_AB, center_AB, AB_expo, fact_AB &
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, iorder, alpha, beta, power_A, power_D, A_center, B_center, dim1)
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power_C = 0
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cx = 0.d0
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do i = 0, iorder(1)
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cx = cx + pol_AB(i,1) * overlap_gaussian_x( center_AB(1), C_center(1), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 0
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cy = 0.d0
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do i = 0, iorder(2)
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cy = cy + pol_AB(i,2) * overlap_gaussian_x( center_AB(2), C_center(2), AB_expo, gama, i, power_C, dim1)
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enddo
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power_C = 1
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cz = 0.d0
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do i = 0, iorder(3)
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cz = cz + pol_AB(i,3) * overlap_gaussian_x( center_AB(3), C_center(3), AB_expo, gama, i, power_C, dim1)
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enddo
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int_gauss_deriv = int_gauss_deriv - 2.d0 * beta * fact_AB * cx * cy * cz
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! ===============
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! ===============
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return
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end function int_gauss_deriv
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!_____________________________________________________________________________________________________________
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!_____________________________________________________________________________________________________________
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2022-10-11 11:03:10 +02:00
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