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mirror of https://gitlab.com/scemama/qmcchem.git synced 2024-11-12 00:53:38 +01:00
qmcchem/src/AO/ao_point.irp.f
2015-12-19 03:32:49 +01:00

290 lines
7.6 KiB
Fortran

BEGIN_PROVIDER [ real, ao_axis_power_p, (-2:ao_power_max,3,nucl_num) ]
implicit none
BEGIN_DOC
! Evaluation of power of x, y, z at the current point for each
! nucleus. Negative power -> 0.
END_DOC
integer :: i,k,l
do i=1,nucl_num
do l=1,3
ao_axis_power_p(-2,l,i) = 0.
ao_axis_power_p(-1,l,i) = 0.
ao_axis_power_p(0,l,i) = 0.
ao_axis_power_p(0,l,i) = 1.
do k=1,ao_power_max_nucl(i,l)
ao_axis_power_p(k,l,i) = point_nucl_dist_vec(i,l)*ao_axis_power_p(k-1,l,i)
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_axis_p, (ao_num) ]
implicit none
include '../types.F'
BEGIN_DOC
! Cartesian polynomial part of the atomic orbitals.
END_DOC
integer :: i
do i=1,ao_num
ao_axis_p(i) &
= ao_axis_power_p( ao_power_transp(1,i) , 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i) , 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i) , 3 , ao_nucl(i) )
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_axis_grad_p, (ao_num,3) ]
implicit none
include '../types.F'
BEGIN_DOC
! Gradients of the cartesian polynomial part of the atomic orbitals.
END_DOC
integer :: i, l
real :: real_of_int(-1:10)
data real_of_int /0.,0.,1.,2.,3.,4.,5.,6.,7.,8.,9.,10./
do i=1,ao_num
ao_axis_grad_p(i,1) = real_of_int(ao_power_transp(1,i)) &
* ao_axis_power_p( ao_power_transp(1,i)-1, 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i) , 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i) , 3 , ao_nucl(i) )
enddo
do i=1,ao_num
ao_axis_grad_p(i,2) = real_of_int(ao_power_transp(2,i)) &
* ao_axis_power_p( ao_power_transp(1,i) , 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i)-1, 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i) , 3 , ao_nucl(i) )
enddo
do i=1,ao_num
ao_axis_grad_p(i,3) = real_of_int(ao_power_transp(3,i)) &
* ao_axis_power_p( ao_power_transp(1,i) , 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i) , 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i)-1, 3 , ao_nucl(i) )
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_axis_lapl_p, (ao_num) ]
implicit none
include '../types.F'
BEGIN_DOC
! Laplacian of the cartesian atomic orbitals
END_DOC
integer :: i, j, l
do i=1,ao_num
real :: real_of_int(-2:10)
data real_of_int /0.,0.,0.,1.,2.,3.,4.,5.,6.,7.,8.,9.,10./
ao_axis_lapl_p(i) &
= real_of_int(ao_power_transp(1,i)) &
* real_of_int(ao_power_transp(1,i)-1) &
* ao_axis_power_p( ao_power_transp(1,i)-2, 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i) , 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i) , 3 , ao_nucl(i) ) &
+ real_of_int(ao_power_transp(2,i)) &
* real_of_int(ao_power_transp(2,i)-1) &
* ao_axis_power_p( ao_power_transp(1,i) , 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i)-2, 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i) , 3 , ao_nucl(i) ) &
+ real_of_int(ao_power_transp(3,i)) &
* real_of_int(ao_power_transp(3,i)-1) &
* ao_axis_power_p( ao_power_transp(1,i) , 1 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(2,i) , 2 , ao_nucl(i) ) &
* ao_axis_power_p( ao_power_transp(3,i)-2, 3 , ao_nucl(i) )
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_value_p, (ao_num) ]
implicit none
BEGIN_DOC
! Values of the atomic orbitals
END_DOC
integer :: i
do i=1,ao_num
ao_value_p(i) = ao_oneD_p(i) * ao_axis_p(i)
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_grad_p, (ao_num,3) ]
implicit none
include '../types.F'
BEGIN_DOC
! Gradients of the atomic orbitals
END_DOC
integer :: i,l
do l=1,3
do i=1,ao_num
ao_grad_p(i,l) = ao_oneD_p(i) * ao_axis_grad_p(i,l)
enddo
do i=1,ao_num
ao_grad_p(i,l) = ao_grad_p(i,l) + ao_oneD_grad_p(i,l) * ao_axis_p(i)
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_lapl_p, (ao_num) ]
implicit none
include '../types.F'
BEGIN_DOC
! Laplacian of the atomic orbitals
END_DOC
integer :: i,l
do i=1,ao_num
ao_lapl_p(i) = ao_oneD_p(i) * ao_axis_lapl_p(i)
enddo
do i=1,ao_num
ao_lapl_p(i) = ao_lapl_p(i) + ao_oneD_lapl_p(i) * ao_axis_p(i)
enddo
do l=1,3
do i=1,ao_num
ao_lapl_p(i) = ao_lapl_p(i) + 2.*ao_oneD_grad_p(i,l) * ao_axis_grad_p(i,l)
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_oneD_prim_p, (ao_num,ao_prim_num_max) ]
implicit none
include '../types.F'
BEGIN_DOC
! Exponentials of the primitive AOs
END_DOC
integer :: i, k
real :: r2, rtemp
! Compute alpha*r or alpha*r^2
do i=1,ao_num
r2 = point_nucl_dist(ao_nucl(i))*point_nucl_dist(ao_nucl(i))
do k=1,ao_prim_num_max
ao_oneD_prim_p(i,k) = r2
enddo
enddo
! Compute exp(-alpha*r) or exp(-alpha*r^2)
do i=1,ao_num
do k=1,ao_prim_num(i)
ao_oneD_prim_p(i,k) = exp(-ao_oneD_prim_p(i,k)*ao_expo(i,k))
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_oneD_p, (ao_num) ]
implicit none
include '../types.F'
BEGIN_DOC
! One-dimensional component of the AOs
END_DOC
integer :: i, k
do i=1,ao_num
ao_oneD_p(i) = 0.
enddo
do k=1,ao_prim_num_max
do i=1,ao_num
ao_oneD_p(i) = ao_oneD_p(i) + ao_coef(i,k)*ao_oneD_prim_p(i,k)
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_oneD_prim_grad_p, (ao_num,ao_prim_num_max,3) ]
implicit none
include '../types.F'
BEGIN_DOC
! Gradients of the one-dimensional component of the primitive AOs
END_DOC
integer :: i, k, l
do l=1,3
do k=1,ao_prim_num_max
do i=1,ao_num
ao_oneD_prim_grad_p(i,k,l) = -2.*point_nucl_dist_vec(ao_nucl(i),l)*ao_expo(i,k)*ao_oneD_prim_p(i,k)
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_oneD_grad_p, (ao_num,3) ]
implicit none
include '../types.F'
BEGIN_DOC
! Gradients of the one-dimensional component of the AOs
END_DOC
integer :: i, k, l
do l=1,3
do i=1,ao_num
ao_oneD_grad_p(i,l) = 0.
enddo
do k=1,ao_prim_num_max
do i=1,ao_num
ao_oneD_grad_p(i,l) = ao_oneD_grad_p(i,l) + ao_coef(i,k)*ao_oneD_prim_grad_p(i,k,l)
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_oneD_prim_lapl_p, (ao_num,ao_prim_num_max) ]
implicit none
include '../types.F'
BEGIN_DOC
! Laplacian of the one-dimensional component of the primitive AOs
END_DOC
integer :: i, k
do k=1,ao_prim_num_max
do i=1,ao_num
ao_oneD_prim_lapl_p(i,k) = ao_oneD_prim_p(i,k) * ao_expo(i,k) *&
( 4.*ao_expo(i,k)*point_nucl_dist(ao_nucl(i))**2 - 6. )
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_oneD_lapl_p, (ao_num) ]
implicit none
include '../types.F'
BEGIN_DOC
! Laplacian of the one-dimensional component of the AOs
END_DOC
integer :: i, k
do i=1,ao_num
ao_oneD_lapl_p(i) = 0.
enddo
do k=1,ao_prim_num_max
do i=1,ao_num
ao_oneD_lapl_p(i) = ao_oneD_lapl_p(i) + ao_coef(i,k)*ao_oneD_prim_lapl_p(i,k)
enddo
enddo
END_PROVIDER