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qp2/src/ao_basis/aos_in_r.irp.f

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double precision function ao_value(i,r)
implicit none
BEGIN_DOC
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! Returns the value of the i-th ao at point $\textbf{r}$
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END_DOC
double precision, intent(in) :: r(3)
integer, intent(in) :: i
integer :: m,num_ao
double precision :: center_ao(3)
double precision :: beta
integer :: power_ao(3)
double precision :: accu,dx,dy,dz,r2
num_ao = ao_nucl(i)
power_ao(1:3)= ao_power(i,1:3)
center_ao(1:3) = nucl_coord(num_ao,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
r2 = dx*dx + dy*dy + dz*dz
dx = dx**power_ao(1)
dy = dy**power_ao(2)
dz = dz**power_ao(3)
accu = 0.d0
do m=1,ao_prim_num(i)
beta = ao_expo_ordered_transp(m,i)
accu += ao_coef_normalized_ordered_transp(m,i) * dexp(-beta*r2)
enddo
ao_value = accu * dx * dy * dz
end
double precision function primitive_value(i,j,r)
implicit none
BEGIN_DOC
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! Returns the value of the j-th primitive of the i-th |AO| at point $\textbf{r}
! **without the coefficient**
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END_DOC
double precision, intent(in) :: r(3)
integer, intent(in) :: i,j
integer :: m,num_ao
double precision :: center_ao(3)
double precision :: beta
integer :: power_ao(3)
double precision :: accu,dx,dy,dz,r2
num_ao = ao_nucl(i)
power_ao(1:3)= ao_power(i,1:3)
center_ao(1:3) = nucl_coord(num_ao,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
r2 = dx*dx + dy*dy + dz*dz
dx = dx**power_ao(1)
dy = dy**power_ao(2)
dz = dz**power_ao(3)
accu = 0.d0
m=j
beta = ao_expo_ordered_transp(m,i)
accu += dexp(-beta*r2)
primitive_value = accu * dx * dy * dz
end
subroutine give_all_aos_at_r(r,aos_array)
implicit none
BEGIN_dOC
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! input : r == r(1) = x and so on
!
! output : aos_array(i) = aos(i) evaluated in $\textbf{r}$
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END_DOC
double precision, intent(in) :: r(3)
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double precision, intent(out):: aos_array(ao_num)
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integer :: power_ao(3)
integer :: i,j,k,l,m
double precision :: dx,dy,dz,r2
double precision :: dx2,dy2,dz2
double precision :: center_ao(3)
double precision :: beta
do i = 1, nucl_num
center_ao(1:3) = nucl_coord(i,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
r2 = dx*dx + dy*dy + dz*dz
do j = 1,Nucl_N_Aos(i)
k = Nucl_Aos_transposed(j,i) ! index of the ao in the ordered format
aos_array(k) = 0.d0
power_ao(1:3)= ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**power_ao(1)
dy2 = dy**power_ao(2)
dz2 = dz**power_ao(3)
do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i)
aos_array(k)+= ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
enddo
aos_array(k) = aos_array(k) * dx2 * dy2 * dz2
enddo
enddo
end
subroutine give_all_aos_and_grad_at_r(r,aos_array,aos_grad_array)
implicit none
BEGIN_DOC
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! input : r(1) ==> r(1) = x, r(2) = y, r(3) = z
!
! output :
!
! * aos_array(i) = ao(i) evaluated at ro
! * aos_grad_array(1,i) = gradient X of the ao(i) evaluated at $\textbf{r}$
!
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END_DOC
double precision, intent(in) :: r(3)
double precision, intent(out) :: aos_array(ao_num)
double precision, intent(out) :: aos_grad_array(3,ao_num)
integer :: power_ao(3)
integer :: i,j,k,l,m
double precision :: dx,dy,dz,r2
double precision :: dx2,dy2,dz2
double precision :: dx1,dy1,dz1
double precision :: center_ao(3)
double precision :: beta,accu_1,accu_2,contrib
do i = 1, nucl_num
center_ao(1:3) = nucl_coord(i,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
r2 = dx*dx + dy*dy + dz*dz
do j = 1,Nucl_N_Aos(i)
k = Nucl_Aos_transposed(j,i) ! index of the ao in the ordered format
aos_array(k) = 0.d0
aos_grad_array(1,k) = 0.d0
aos_grad_array(2,k) = 0.d0
aos_grad_array(3,k) = 0.d0
power_ao(1:3)= ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**power_ao(1)
dy2 = dy**power_ao(2)
dz2 = dz**power_ao(3)
if(power_ao(1) .ne. 0)then
dx1 = dble(power_ao(1)) * dx**(power_ao(1)-1)
else
dx1 = 0.d0
endif
if(power_ao(2) .ne. 0)then
dy1 = dble(power_ao(2)) * dy**(power_ao(2)-1)
else
dy1 = 0.d0
endif
if(power_ao(3) .ne. 0)then
dz1 = dble(power_ao(3)) * dz**(power_ao(3)-1)
else
dz1 = 0.d0
endif
accu_1 = 0.d0
accu_2 = 0.d0
do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i)
contrib = ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
accu_1 += contrib
accu_2 += contrib * beta
enddo
aos_array(k) = accu_1 * dx2 * dy2 * dz2
aos_grad_array(1,k) = accu_1 * dx1 * dy2 * dz2- 2.d0 * dx2 * dx * dy2 * dz2 * accu_2
aos_grad_array(2,k) = accu_1 * dx2 * dy1 * dz2- 2.d0 * dx2 * dy2 * dy * dz2 * accu_2
aos_grad_array(3,k) = accu_1 * dx2 * dy2 * dz1- 2.d0 * dx2 * dy2 * dz2 * dz * accu_2
enddo
enddo
end
subroutine give_all_aos_and_grad_and_lapl_at_r(r,aos_array,aos_grad_array,aos_lapl_array)
implicit none
BEGIN_DOC
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! input : r(1) ==> r(1) = x, r(2) = y, r(3) = z
!
! output :
!
! * aos_array(i) = ao(i) evaluated at $\textbf{r}$
! * aos_grad_array(1,i) = $\nabla_x$ of the ao(i) evaluated at $\textbf{r}$
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END_DOC
double precision, intent(in) :: r(3)
double precision, intent(out) :: aos_array(ao_num)
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double precision, intent(out) :: aos_grad_array(3,ao_num)
double precision, intent(out) :: aos_lapl_array(3,ao_num)
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integer :: power_ao(3)
integer :: i,j,k,l,m
double precision :: dx,dy,dz,r2
double precision :: dx2,dy2,dz2
double precision :: dx1,dy1,dz1
double precision :: dx3,dy3,dz3
double precision :: dx4,dy4,dz4
double precision :: dx5,dy5,dz5
double precision :: center_ao(3)
double precision :: beta,accu_1,accu_2,accu_3,contrib
do i = 1, nucl_num
center_ao(1:3) = nucl_coord(i,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
r2 = dx*dx + dy*dy + dz*dz
do j = 1,Nucl_N_Aos(i)
k = Nucl_Aos_transposed(j,i) ! index of the ao in the ordered format
aos_array(k) = 0.d0
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aos_grad_array(1,k) = 0.d0
aos_grad_array(2,k) = 0.d0
aos_grad_array(3,k) = 0.d0
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aos_lapl_array(1,k) = 0.d0
aos_lapl_array(2,k) = 0.d0
aos_lapl_array(3,k) = 0.d0
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power_ao(1:3)= ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**power_ao(1)
dy2 = dy**power_ao(2)
dz2 = dz**power_ao(3)
if(power_ao(1) .ne. 0)then
dx1 = dble(power_ao(1)) * dx**(power_ao(1)-1)
else
dx1 = 0.d0
endif
! For the Laplacian
if(power_ao(1) .ge. 2)then
dx3 = dble(power_ao(1)) * dble((power_ao(1)-1)) * dx**(power_ao(1)-2)
else
dx3 = 0.d0
endif
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if(power_ao(1) .ge. 1)then
dx4 = dble((2 * power_ao(1) + 1)) * dx**(power_ao(1))
else
dx4 = dble((power_ao(1) + 1)) * dx**(power_ao(1))
endif
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dx5 = dx**(power_ao(1)+2)
if(power_ao(2) .ne. 0)then
dy1 = dble(power_ao(2)) * dy**(power_ao(2)-1)
else
dy1 = 0.d0
endif
! For the Laplacian
if(power_ao(2) .ge. 2)then
dy3 = dble(power_ao(2)) * dble((power_ao(2)-1)) * dy**(power_ao(2)-2)
else
dy3 = 0.d0
endif
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if(power_ao(2) .ge. 1)then
dy4 = dble((2 * power_ao(2) + 1)) * dy**(power_ao(2))
else
dy4 = dble((power_ao(2) + 1)) * dy**(power_ao(2))
endif
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dy5 = dy**(power_ao(2)+2)
if(power_ao(3) .ne. 0)then
dz1 = dble(power_ao(3)) * dz**(power_ao(3)-1)
else
dz1 = 0.d0
endif
! For the Laplacian
if(power_ao(3) .ge. 2)then
dz3 = dble(power_ao(3)) * dble((power_ao(3)-1)) * dz**(power_ao(3)-2)
else
dz3 = 0.d0
endif
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if(power_ao(3) .ge. 1)then
dz4 = dble((2 * power_ao(3) + 1)) * dz**(power_ao(3))
else
dz4 = dble((power_ao(3) + 1)) * dz**(power_ao(3))
endif
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dz5 = dz**(power_ao(3)+2)
accu_1 = 0.d0
accu_2 = 0.d0
accu_3 = 0.d0
do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i)
contrib = ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
accu_1 += contrib
accu_2 += contrib * beta
accu_3 += contrib * beta**2
enddo
aos_array(k) = accu_1 * dx2 * dy2 * dz2
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aos_grad_array(1,k) = accu_1 * dx1 * dy2 * dz2- 2.d0 * dx2 * dx * dy2 * dz2 * accu_2
aos_grad_array(2,k) = accu_1 * dx2 * dy1 * dz2- 2.d0 * dx2 * dy2 * dy * dz2 * accu_2
aos_grad_array(3,k) = accu_1 * dx2 * dy2 * dz1- 2.d0 * dx2 * dy2 * dz2 * dz * accu_2
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aos_lapl_array(1,k) = accu_1 * dx3 * dy2 * dz2- 2.d0 * dx4 * dy2 * dz2* accu_2 +4.d0 * dx5 *dy2 * dz2* accu_3
aos_lapl_array(2,k) = accu_1 * dx2 * dy3 * dz2- 2.d0 * dx2 * dy4 * dz2* accu_2 +4.d0 * dx2 *dy5 * dz2* accu_3
aos_lapl_array(3,k) = accu_1 * dx2 * dy2 * dz3- 2.d0 * dx2 * dy2 * dz4* accu_2 +4.d0 * dx2 *dy2 * dz5* accu_3
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enddo
enddo
end