* Providers
** Dimensions of MOs

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ integer, n_mo_dim ]
  implicit none
  BEGIN_DOC
  ! Number of different pairs (i,j) of MOs we can build,
  ! with i>j
  END_DOC

  n_mo_dim = mo_num*(mo_num-1)/2

END_PROVIDER
#+END_SRC

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ integer, n_mo_dim_core ]
  implicit none 
  BEGIN_DOC
  ! Number of different pairs (i,j) of core MOs we can build,
  ! with i>j
  END_DOC

  n_mo_dim_core = dim_list_core_orb*(dim_list_core_orb-1)/2

END_PROVIDER
#+END_SRC

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ integer, n_mo_dim_act ]
  implicit none
  BEGIN_DOC
  ! Number of different pairs (i,j) of active MOs we can build,
  ! with i>j
  END_DOC

  n_mo_dim_act = dim_list_act_orb*(dim_list_act_orb-1)/2

END_PROVIDER
#+END_SRC

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ integer, n_mo_dim_inact ]
  implicit none 
  BEGIN_DOC
  ! Number of different pairs (i,j) of inactive MOs we can build,
  ! with i>j
  END_DOC

  n_mo_dim_inact = dim_list_inact_orb*(dim_list_inact_orb-1)/2

END_PROVIDER
#+END_SRC

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ integer, n_mo_dim_virt ]
  implicit none 
  BEGIN_DOC
  ! Number of different pairs (i,j) of virtual MOs we can build,
  ! with i>j
  END_DOC

  n_mo_dim_virt = dim_list_virt_orb*(dim_list_virt_orb-1)/2

END_PROVIDER
#+END_SRC

** Energies/criterions
#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_st_av_energy ]
  implicit none
  BEGIN_DOC
  ! State average CI energy
  END_DOC

  !call update_st_av_ci_energy(my_st_av_energy)
  call state_average_energy(my_st_av_energy)

END_PROVIDER
#+END_SRC

** Gradient/hessian
*** Orbital optimization
**** With all the MOs
#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_gradient_opt, (n_mo_dim) ]
&BEGIN_PROVIDER [ double precision, my_CC1_opt ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the energy with respect to the MO rotations, for all the MOs.
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision :: norm_grad

  PROVIDE mo_two_e_integrals_in_map

  call gradient_opt(n_mo_dim, my_gradient_opt, my_CC1_opt, norm_grad)

END_PROVIDER
#+END_SRC

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_hessian_opt, (n_mo_dim, n_mo_dim) ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the energy with respect to the MO rotations, for all the MOs.
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision, allocatable :: h_f(:,:,:,:)

  PROVIDE mo_two_e_integrals_in_map

  allocate(h_f(mo_num, mo_num, mo_num, mo_num))

  call hessian_list_opt(n_mo_dim, my_hessian_opt, h_f)

END_PROVIDER
#+END_SRC

**** With the list of active MOs
Can be generalized to any mo_class by changing the list/dimension
#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_gradient_list_opt, (n_mo_dim_act) ]
&BEGIN_PROVIDER [ double precision, my_CC2_opt ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the energy with respect to the MO rotations, only for the active MOs !
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision :: norm_grad

  PROVIDE mo_two_e_integrals_in_map !one_e_dm_mo two_e_dm_mo mo_one_e_integrals 

  call gradient_list_opt(n_mo_dim_act, dim_list_act_orb, list_act, my_gradient_list_opt, my_CC2_opt, norm_grad)

END_PROVIDER
#+END_SRC

#+BEGIN_SRC f90 :comments org :tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_hessian_list_opt, (n_mo_dim_act, n_mo_dim_act) ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the energy with respect to the MO rotations, only for the active MOs !
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision, allocatable :: h_f(:,:,:,:)

  PROVIDE mo_two_e_integrals_in_map

  allocate(h_f(dim_list_act_orb, dim_list_act_orb, dim_list_act_orb, dim_list_act_orb))

  call hessian_list_opt(n_mo_dim_act, dim_list_act_orb, list_act, my_hessian_list_opt, h_f)

END_PROVIDER
#+END_SRC

*** Orbital localization
**** Gradient
***** Core MOs
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_gradient_loc_core, (n_mo_dim_core) ]
&BEGIN_PROVIDER [ double precision, my_CC_loc_core ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the MO localization with respect to the MO rotations for the core MOs
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision :: norm_grad

  !PROVIDE something ?

  call gradient_localization(n_mo_dim_core, dim_list_core_orb, list_core, my_gradient_loc_core, my_CC_loc_core , norm_grad)

END_PROVIDER
#+END_SRC

***** Active MOs 
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_gradient_loc_act, (n_mo_dim_act) ]
&BEGIN_PROVIDER [ double precision, my_CC_loc_act ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the MO localization with respect to the MO rotations for the active MOs
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision :: norm_grad

  !PROVIDE something ?

  call gradient_localization(n_mo_dim_act, dim_list_act_orb, list_act, my_gradient_loc_act, my_CC_loc_act , norm_grad)

END_PROVIDER
#+END_SRC

***** Inactive MOs
#+BEGIN_SRC f90 :comments org !
:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_gradient_loc_inact, (n_mo_dim_inact) ]
&BEGIN_PROVIDER [ double precision, my_CC_loc_inact ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the MO localization with respect to the MO rotations for the inactive MOs
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision :: norm_grad

  !PROVIDE something ?

  call gradient_localization(n_mo_dim_inact, dim_list_inact_orb, list_inact, my_gradient_loc_inact, my_CC_loc_inact , norm_grad)

END_PROVIDER
#+END_SRC

***** Virtual MOs
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_gradient_loc_virt, (n_mo_dim_virt) ]
&BEGIN_PROVIDER [ double precision, my_CC_loc_virt ]
  implicit none
  BEGIN_DOC
  ! - Gradient of the MO localization with respect to the MO rotations for the virtual MOs
  ! - Maximal element of the gradient in absolute value 
  END_DOC

  double precision :: norm_grad

  !PROVIDE something ?

  call gradient_localization(n_mo_dim_virt, dim_list_virt_orb, list_virt, my_gradient_loc_virt, my_CC_loc_virt , norm_grad)

END_PROVIDER
#+END_SRC

**** Hessian
***** Core MOs
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_hessian_loc_core, (n_mo_dim_core) ]
  implicit none
  BEGIN_DOC
  ! - Hessian of the MO localization with respect to the MO rotations for the core MOs
  END_DOC

  !PROVIDE something ?

  call hessian_localization(n_mo_dim_core, dim_list_core_orb, list_core, my_hessian_loc_core)

END_PROVIDER
#+END_SRC

***** Active MOs
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_hessian_loc_act, (n_mo_dim_act) ]
  implicit none
  BEGIN_DOC
  ! - Hessian of the MO localization with respect to the MO rotations for the active MOs
  END_DOC

  !PROVIDE something ?

  call hessian_localization(n_mo_dim_act, dim_list_act_orb, list_act, my_hessian_loc_act)

END_PROVIDER
#+END_SRC

***** Inactive MOs
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_hessian_loc_inact, (n_mo_dim_inact) ]
  implicit none
  BEGIN_DOC
  ! - Hessian of the MO localization with respect to the MO rotations for the inactive MOs
  END_DOC

  !PROVIDE something ?

  call hessian_localization(n_mo_dim_inact, dim_list_inact_orb, list_inact, my_hessian_loc_inact)

END_PROVIDER
#+END_SRC

***** Virtual MOs
#+BEGIN_SRC f90 :comments org 
!:tangle my_providers.irp.f
BEGIN_PROVIDER [ double precision, my_hessian_loc_virt, (n_mo_dim_virt) ]
  implicit none
  BEGIN_DOC
  ! - Hessian of the MO localization with respect to the MO rotations for the virtual MOs
  END_DOC

  !PROVIDE something ?

  call hessian_localization(n_mo_dim_virt, dim_list_virt_orb, list_virt, my_hessian_loc_virt)

END_PROVIDER
#+END_SRC