373 lines
11 KiB
Fortran
373 lines
11 KiB
Fortran
BEGIN_PROVIDER [ integer, ao_num_align ]
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implicit none
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BEGIN_DOC
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! Number of atomic orbitals align
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END_DOC
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integer :: align_double
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ao_num_align = align_double(ao_num)
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END_PROVIDER
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BEGIN_PROVIDER [ integer, ao_prim_num_max ]
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&BEGIN_PROVIDER [ integer, ao_prim_num_max_align ]
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implicit none
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ao_prim_num_max = 0
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PROVIDE ezfio_filename
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call ezfio_get_ao_basis_ao_prim_num_max(ao_prim_num_max)
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integer :: align_double
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ao_prim_num_max_align = align_double(ao_prim_num_max)
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, ao_coef_normalized, (ao_num_align,ao_prim_num_max) ]
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&BEGIN_PROVIDER [ double precision, ao_coef_normalization_factor, (ao_num) ]
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implicit none
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BEGIN_DOC
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! Coefficients including the AO normalization
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END_DOC
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double precision :: norm,overlap_x,overlap_y,overlap_z,C_A(3), c
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integer :: l, powA(3), nz
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integer :: i,j,k
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nz=100
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C_A(1) = 0.d0
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C_A(2) = 0.d0
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C_A(3) = 0.d0
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ao_coef_normalized = 0.d0
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do i=1,ao_num
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powA(1) = ao_power(i,1)
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powA(2) = ao_power(i,2)
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powA(3) = ao_power(i,3)
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do j=1,ao_prim_num(i)
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call overlap_gaussian_xyz(C_A,C_A,ao_expo(i,j),ao_expo(i,j),powA,powA,overlap_x,overlap_y,overlap_z,norm,nz)
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ao_coef_normalized(i,j) = ao_coef(i,j)/sqrt(norm)
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enddo
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! Normalization of the contracted basis functions
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norm = 0.d0
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do j=1,ao_prim_num(i)
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do k=1,ao_prim_num(i)
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call overlap_gaussian_xyz(C_A,C_A,ao_expo(i,j),ao_expo(i,k),powA,powA,overlap_x,overlap_y,overlap_z,c,nz)
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norm = norm+c*ao_coef_normalized(i,j)*ao_coef_normalized(i,k)
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enddo
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enddo
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ao_coef_normalization_factor(i) = 1.d0/sqrt(norm)
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, ao_coef_normalization_libint_factor, (ao_num) ]
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implicit none
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BEGIN_DOC
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! Coefficients including the AO normalization
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END_DOC
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double precision :: norm,overlap_x,overlap_y,overlap_z,C_A(3), c
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integer :: l, powA(3), nz
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integer :: i,j,k
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nz=100
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C_A(1) = 0.d0
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C_A(2) = 0.d0
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C_A(3) = 0.d0
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do i=1,ao_num
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powA(1) = ao_l(i)
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powA(2) = 0
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powA(3) = 0
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! Normalization of the contracted basis functions
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norm = 0.d0
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do j=1,ao_prim_num(i)
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do k=1,ao_prim_num(i)
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call overlap_gaussian_xyz(C_A,C_A,ao_expo(i,j),ao_expo(i,k),powA,powA,overlap_x,overlap_y,overlap_z,c,nz)
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norm = norm+c*ao_coef_normalized(i,j)*ao_coef_normalized(i,k)
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enddo
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enddo
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ao_coef_normalization_libint_factor(i) = ao_coef_normalization_factor(i) * sqrt(norm)
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, ao_coef_normalized_ordered, (ao_num_align,ao_prim_num_max) ]
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&BEGIN_PROVIDER [ double precision, ao_expo_ordered, (ao_num_align,ao_prim_num_max) ]
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implicit none
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BEGIN_DOC
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! Sorted primitives to accelerate 4 index MO transformation
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END_DOC
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integer :: iorder(ao_prim_num_max)
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double precision :: d(ao_prim_num_max,2)
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integer :: i,j
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do i=1,ao_num
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do j=1,ao_prim_num(i)
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iorder(j) = j
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d(j,1) = ao_expo(i,j)
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d(j,2) = ao_coef_normalized(i,j)
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enddo
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call dsort(d(1,1),iorder,ao_prim_num(i))
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call dset_order(d(1,2),iorder,ao_prim_num(i))
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do j=1,ao_prim_num(i)
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ao_expo_ordered(i,j) = d(j,1)
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ao_coef_normalized_ordered(i,j) = d(j,2)
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, ao_coef_normalized_ordered_transp, (ao_prim_num_max_align,ao_num) ]
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implicit none
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BEGIN_DOC
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! Transposed ao_coef_normalized_ordered
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END_DOC
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integer :: i,j
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do j=1, ao_num
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do i=1, ao_prim_num_max
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ao_coef_normalized_ordered_transp(i,j) = ao_coef_normalized_ordered(j,i)
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ double precision, ao_expo_ordered_transp, (ao_prim_num_max_align,ao_num) ]
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implicit none
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BEGIN_DOC
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! Transposed ao_expo_ordered
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END_DOC
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integer :: i,j
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do j=1, ao_num
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do i=1, ao_prim_num_max
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ao_expo_ordered_transp(i,j) = ao_expo_ordered(j,i)
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ integer, ao_l, (ao_num) ]
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&BEGIN_PROVIDER [ integer, ao_l_max ]
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&BEGIN_PROVIDER [ character*(128), ao_l_char, (ao_num) ]
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implicit none
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BEGIN_DOC
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! ao_l = l value of the AO: a+b+c in x^a y^b z^c
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END_DOC
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integer :: i
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do i=1,ao_num
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ao_l(i) = ao_power(i,1) + ao_power(i,2) + ao_power(i,3)
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ao_l_char(i) = l_to_charater(ao_l(i))
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enddo
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ao_l_max = maxval(ao_l)
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END_PROVIDER
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BEGIN_PROVIDER [ integer, ao_prim_num_max_align ]
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implicit none
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BEGIN_DOC
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! Number of primitives per atomic orbital aligned
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END_DOC
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integer :: align_double
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ao_prim_num_max_align = align_double(ao_prim_num_max)
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END_PROVIDER
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integer function ao_power_index(nx,ny,nz)
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implicit none
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integer, intent(in) :: nx, ny, nz
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BEGIN_DOC
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! Unique index given to a triplet of powers:
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!
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! 1/2 (l-n_x)*(l-n_x+1) + n_z + 1
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END_DOC
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integer :: l
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l = nx + ny + nz
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ao_power_index = ((l-nx)*(l-nx+1))/2 + nz + 1
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end
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BEGIN_PROVIDER [ character*(128), l_to_charater, (0:7)]
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BEGIN_DOC
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! character corresponding to the "L" value of an AO orbital
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END_DOC
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implicit none
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l_to_charater(0)='S'
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l_to_charater(1)='P'
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l_to_charater(2)='D'
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l_to_charater(3)='F'
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l_to_charater(4)='G'
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l_to_charater(5)='H'
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l_to_charater(6)='I'
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l_to_charater(7)='J'
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END_PROVIDER
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BEGIN_PROVIDER [ integer, Nucl_N_Aos, (nucl_num)]
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&BEGIN_PROVIDER [ integer, N_AOs_max ]
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implicit none
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integer :: i
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BEGIN_DOC
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! Number of AOs per atom
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END_DOC
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Nucl_N_Aos = 0
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do i = 1, ao_num
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Nucl_N_Aos(ao_nucl(i)) +=1
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enddo
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N_AOs_max = maxval(Nucl_N_Aos)
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END_PROVIDER
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BEGIN_PROVIDER [ integer, Nucl_Aos, (nucl_num,N_AOs_max)]
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implicit none
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BEGIN_DOC
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! List of AOs attached on each atom
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END_DOC
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integer :: i
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integer, allocatable :: nucl_tmp(:)
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allocate(nucl_tmp(nucl_num))
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nucl_tmp = 0
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Nucl_Aos = 0
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do i = 1, ao_num
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nucl_tmp(ao_nucl(i))+=1
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Nucl_Aos(ao_nucl(i),nucl_tmp(ao_nucl(i))) = i
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enddo
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deallocate(nucl_tmp)
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END_PROVIDER
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BEGIN_PROVIDER [ integer, Nucl_list_shell_Aos, (nucl_num,N_AOs_max)]
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&BEGIN_PROVIDER [ integer, Nucl_num_shell_Aos, (nucl_num)]
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implicit none
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integer :: i,j,k
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BEGIN_DOC
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! Index of the shell type Aos and of the corresponding Aos
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! Per convention, for P,D,F and G AOs, we take the index
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! of the AO with the the corresponding power in the "X" axis
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END_DOC
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do i = 1, nucl_num
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Nucl_num_shell_Aos(i) = 0
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do j = 1, Nucl_N_Aos(i)
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if(ao_l(Nucl_Aos(i,j))==0)then
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! S type function
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Nucl_num_shell_Aos(i)+=1
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Nucl_list_shell_Aos(i,Nucl_num_shell_Aos(i))=Nucl_Aos(i,j)
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elseif(ao_l(Nucl_Aos(i,j))==1)then
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! P type function
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if(ao_power(Nucl_Aos(i,j),1)==1)then
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Nucl_num_shell_Aos(i)+=1
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Nucl_list_shell_Aos(i,Nucl_num_shell_Aos(i))=Nucl_Aos(i,j)
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endif
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elseif(ao_l(Nucl_Aos(i,j))==2)then
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! D type function
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if(ao_power(Nucl_Aos(i,j),1)==2)then
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Nucl_num_shell_Aos(i)+=1
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Nucl_list_shell_Aos(i,Nucl_num_shell_Aos(i))=Nucl_Aos(i,j)
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endif
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elseif(ao_l(Nucl_Aos(i,j))==3)then
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! F type function
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if(ao_power(Nucl_Aos(i,j),1)==3)then
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Nucl_num_shell_Aos(i)+=1
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Nucl_list_shell_Aos(i,Nucl_num_shell_Aos(i))=Nucl_Aos(i,j)
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endif
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elseif(ao_l(Nucl_Aos(i,j))==4)then
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! G type function
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if(ao_power(Nucl_Aos(i,j),1)==4)then
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Nucl_num_shell_Aos(i)+=1
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Nucl_list_shell_Aos(i,Nucl_num_shell_Aos(i))=Nucl_Aos(i,j)
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endif
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endif
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ character*(4), ao_l_char_space, (ao_num) ]
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implicit none
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integer :: i
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character*(4) :: give_ao_character_space
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do i=1,ao_num
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if(ao_l(i)==0)then
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! S type AO
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give_ao_character_space = 'S '
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elseif(ao_l(i) == 1)then
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! P type AO
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if(ao_power(i,1)==1)then
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give_ao_character_space = 'X '
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elseif(ao_power(i,2) == 1)then
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give_ao_character_space = 'Y '
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else
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give_ao_character_space = 'Z '
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endif
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elseif(ao_l(i) == 2)then
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! D type AO
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if(ao_power(i,1)==2)then
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give_ao_character_space = 'XX '
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elseif(ao_power(i,2) == 2)then
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give_ao_character_space = 'YY '
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elseif(ao_power(i,3) == 2)then
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give_ao_character_space = 'ZZ '
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elseif(ao_power(i,1) == 1 .and. ao_power(i,2) == 1)then
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give_ao_character_space = 'XY '
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elseif(ao_power(i,1) == 1 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'XZ '
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else
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give_ao_character_space = 'YZ '
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endif
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elseif(ao_l(i) == 3)then
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! F type AO
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if(ao_power(i,1)==3)then
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give_ao_character_space = 'XXX '
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elseif(ao_power(i,2) == 3)then
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give_ao_character_space = 'YYY '
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elseif(ao_power(i,3) == 3)then
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give_ao_character_space = 'ZZZ '
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elseif(ao_power(i,1) == 2 .and. ao_power(i,2) == 1)then
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give_ao_character_space = 'XXY '
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elseif(ao_power(i,1) == 2 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'XXZ '
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elseif(ao_power(i,2) == 2 .and. ao_power(i,1) == 1)then
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give_ao_character_space = 'YYX '
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elseif(ao_power(i,2) == 2 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'YYZ '
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elseif(ao_power(i,3) == 2 .and. ao_power(i,1) == 1)then
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give_ao_character_space = 'ZZX '
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elseif(ao_power(i,3) == 2 .and. ao_power(i,2) == 1)then
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give_ao_character_space = 'ZZY '
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elseif(ao_power(i,3) == 1 .and. ao_power(i,2) == 1 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'XYZ '
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endif
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elseif(ao_l(i) == 4)then
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! G type AO
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if(ao_power(i,1)==4)then
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give_ao_character_space = 'XXXX'
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elseif(ao_power(i,2) == 4)then
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give_ao_character_space = 'YYYY'
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elseif(ao_power(i,3) == 4)then
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give_ao_character_space = 'ZZZZ'
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elseif(ao_power(i,1) == 3 .and. ao_power(i,2) == 1)then
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give_ao_character_space = 'XXXY'
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elseif(ao_power(i,1) == 3 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'XXXZ'
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elseif(ao_power(i,2) == 3 .and. ao_power(i,1) == 1)then
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give_ao_character_space = 'YYYX'
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elseif(ao_power(i,2) == 3 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'YYYZ'
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elseif(ao_power(i,3) == 3 .and. ao_power(i,1) == 1)then
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give_ao_character_space = 'ZZZX'
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elseif(ao_power(i,3) == 3 .and. ao_power(i,2) == 1)then
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give_ao_character_space = 'ZZZY'
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elseif(ao_power(i,1) == 2 .and. ao_power(i,2) == 2)then
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give_ao_character_space = 'XXYY'
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elseif(ao_power(i,2) == 2 .and. ao_power(i,3) == 2)then
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give_ao_character_space = 'YYZZ'
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elseif(ao_power(i,1) == 2 .and. ao_power(i,2) == 1 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'XXYZ'
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elseif(ao_power(i,2) == 2 .and. ao_power(i,1) == 1 .and. ao_power(i,3) == 1)then
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give_ao_character_space = 'YYXZ'
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elseif(ao_power(i,3) == 2 .and. ao_power(i,1) == 1 .and. ao_power(i,2) == 1)then
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give_ao_character_space = 'ZZXY'
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endif
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endif
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ao_l_char_space(i) = give_ao_character_space
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enddo
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END_PROVIDER
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