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sc::MBPT2(3)			     MPQC			  sc::MBPT2(3)

NAME
       sc::MBPT2 - The MBPT2 class implements several second-order
       perturbation theory methods.

SYNOPSIS
       #include	<mbpt.h>

       Inherits	sc::Wavefunction.

       Inherited by sc::MBPT2_R12.

   Public Member Functions
       MBPT2 (StateIn &)
       MBPT2 (const Ref< KeyVal	> &)
	   The KeyVal constructor.
       void save_data_state (StateOut &)
	   Save	the base classes (with save_data_state)	and the	members	in the
	   same	order that the StateIn CTOR initializes	them.
       Ref< SCF	> ref ()
       double ref_energy ()
       double corr_energy ()
       RefSCVector ref_energy_gradient ()
       RefSCVector corr_energy_gradient	()
       int nelectron ()
	   Returns the number of electrons.
       int nfzcore () const
       int nfzvirt () const
       RefSymmSCMatrix density ()
	   Returns the SO density.
       int spin_polarized ()
	   Return 1 if the alpha density is not	equal to the beta density.
       int gradient_implemented	() const
       int value_implemented ()	const
	   Information about the availability of values, gradients, and
	   hessians.
       void symmetry_changed ()
	   Call	this if	you have changed the molecular symmetry	of the
	   molecule contained by this MolecularEnergy.
       void obsolete ()
	   Marks all results as	being out of date.
       void print (std::ostream	&o=ExEnv::out0()) const
	   Print information about the object.

       Public Member Functions inherited from sc::Wavefunction
       Wavefunction (StateIn &)
       Wavefunction (const Ref<	KeyVal > &)
	   The KeyVal constructor.
       void save_data_state (StateOut &)
	   Save	the base classes (with save_data_state)	and the	members	in the
	   same	order that the StateIn CTOR initializes	them.
       double density (const SCVector3 &)
       double density_gradient (const SCVector3	&, double *)
       double natural_orbital (const SCVector3 &r, int iorb)
       double natural_orbital_density (const SCVector3 &r, int orb, double
	   *orbval=0)
       double orbital (const SCVector3 &r, int iorb, const RefSCMatrix &orbs)
       double orbital_density (const SCVector3 &r, int iorb, const RefSCMatrix
	   &orbs, double *orbval=0)
       double charge ()
	   Returns the charge.
       virtual int nelectron ()=0
	   Returns the number of electrons.
       virtual RefSymmSCMatrix density ()=0
	   Returns the SO density.
       virtual RefSymmSCMatrix ao_density ()
	   Returns the AO density.
       virtual RefSCMatrix natural_orbitals ()
	   Returns the natural orbitals.
       virtual RefDiagSCMatrix natural_density ()
	   Returns the natural density (a diagonal matrix).
       virtual int spin_polarized ()=0
	   Return 1 if the alpha density is not	equal to the beta density.
       virtual RefSymmSCMatrix alpha_density ()
	   Return alpha	electron densities in the SO basis.
       virtual RefSymmSCMatrix beta_density ()
	   Return beta electron	densities in the SO basis.
       virtual RefSymmSCMatrix alpha_ao_density	()
	   Return alpha	electron densities in the AO basis.
       virtual RefSymmSCMatrix beta_ao_density ()
	   Return beta electron	densities in the AO basis.
       virtual RefSCMatrix nao (double *atom_charges=0)
	   returns the ao to nao transformation	matrix
       virtual RefSymmSCMatrix overlap ()
	   Returns the SO overlap matrix.
       virtual RefSymmSCMatrix core_hamiltonian	()
	   Returns the SO core Hamiltonian.
       virtual double nuclear_repulsion_energy ()
	   Returns the nuclear repulsion energy.
       void nuclear_repulsion_energy_gradient (double *g)
	   Computes the	nuclear	repulsion gradient.
       virtual void nuclear_repulsion_energy_gradient (double **g)
	   Computes the	nuclear	repulsion gradient.
       RefSCDimension ao_dimension ()
	   Atomic orbital dimension.
       RefSCDimension so_dimension ()
	   Symmetry adapted orbital dimension.
       RefSCDimension oso_dimension ()
	   Orthogonalized symmetry adapted orbital dimension.
       Ref< SCMatrixKit	> basis_matrixkit ()
	   Matrix kit for AO, SO, orthogonalized SO, and MO dimensioned
	   matrices.
       Ref< Molecule > molecule	() const
	   Returns the Molecule.
       Ref< GaussianBasisSet > basis ()	const
	   Returns the basis set.
       Ref< GaussianBasisSet > atom_basis () const
	   Returns the basis set describing the	nuclear	charge distributions.
       const double * atom_basis_coef () const
	   Returns the coefficients of the nuclear charge distribution basis
	   functions.
       Ref< Integral > integral	()
	   Returns the integral	evaluator.
       void symmetry_changed ()
	   Call	this if	you have changed the molecular symmetry	of the
	   molecule contained by this MolecularEnergy.
       RefSCMatrix so_to_orthog_so ()
	   Returns a matrix which does the default transform from SO's to
	   orthogonal SO's.
       RefSCMatrix so_to_orthog_so_inverse ()
	   Returns the inverse of the transformation returned by
	   so_to_orthog_so.
       OverlapOrthog::OrthogMethod orthog_method () const
	   Returns the orthogonalization method.
       void set_orthog_method (const OverlapOrthog::OrthogMethod &)
	   (Re)Sets the	orthogonalization method and makes this	obsolete
       double lindep_tol () const
	   Returns the tolerance for linear dependencies.
       void set_lindep_tol (double)
	   Re(Sets) the	tolerance for linear dependencies.
       void obsolete ()
	   Marks all results as	being out of date.
       void print (std::ostream	&=ExEnv::out0()) const
	   Print information about the object.

       Public Member Functions inherited from sc::MolecularEnergy
       MolecularEnergy (const MolecularEnergy &)
       MolecularEnergy (const Ref< KeyVal > &)
	   The KeyVal constructor.
       MolecularEnergy (StateIn	&)
       void save_data_state (StateOut &)
	   Save	the base classes (with save_data_state)	and the	members	in the
	   same	order that the StateIn CTOR initializes	them.
       void set_checkpoint ()
	   Set up checkpointing.
       void set_checkpoint_file	(const char *)
       void set_checkpoint_freq	(int freq)
       bool if_to_checkpoint ()	const
	   Check if need to checkpoint.
       const char * checkpoint_file () const
       int checkpoint_freq () const
       MolecularEnergy & operator= (const MolecularEnergy &)
       virtual double energy ()
	   A wrapper around value();.
       virtual Ref< Molecule > molecule	() const
       virtual RefSCDimension moldim ()	const
       void guess_hessian (RefSymmSCMatrix &)
	   Compute a quick, approximate	hessian.
       RefSymmSCMatrix inverse_hessian (RefSymmSCMatrix	&)
       RefSymmSCMatrix hessian ()
	   If a	molecule hessian object	is given, it will be used to provide a
	   hessian.
       int hessian_implemented () const
       void set_x (const RefSCVector &)
	   Set and retrieve the	coordinate values.
       RefSCVector get_cartesian_x ()
	   Return the cartesian	coordinates.
       RefSCVector get_cartesian_gradient ()
	   Return the cartesian	gradient.
       RefSymmSCMatrix get_cartesian_hessian ()
	   Return the cartesian	hessian.
       Ref< MolecularCoor > molecularcoor ()
       virtual void symmetry_changed ()
	   Call	this if	you have changed the molecular symmetry	of the
	   molecule contained by this MolecularEnergy.
       Ref< NonlinearTransform > change_coordinates ()
	   An optimizer	can call change	coordinates periodically to give the
	   function an opportunity to change its coordinate system.
       void print_natom_3 (const RefSCVector &,	const char *t=0, std::ostream
	   &o=ExEnv::out0()) const
	   Nicely print	n x 3 data that	are stored in a	vector.
       void print_natom_3 (double **, const char *t=0, std::ostream
	   &o=ExEnv::out0()) const
       void print_natom_3 (double *, const char	*t=0, std::ostream
	   &o=ExEnv::out0()) const
       virtual void print (std::ostream	&=ExEnv::out0()) const
	   Print information about the object.

       Public Member Functions inherited from sc::Function
       virtual RefSCVector gradient ()
       int gradient_needed () const
       int do_gradient (int)
       virtual void set_desired_gradient_accuracy (double)
       virtual double actual_gradient_accuracy () const
       virtual double desired_gradient_accuracy	() const
       AccResultRefSCVector & gradient_result ()
       int hessian_needed () const
       int do_hessian (int)
       virtual void set_desired_hessian_accuracy (double)
       virtual double actual_hessian_accuracy () const
       virtual double desired_hessian_accuracy () const
       AccResultRefSymmSCMatrix	& hessian_result ()
       RefSCVector get_x () const
       const RefSCVector & get_x_no_copy () const
       Function	()
       Function	(StateIn &)
       Function	(const Function	&)
       Function	(const Ref< KeyVal > &,	double funcacc=DBL_EPSILON, double
	   gradacc=DBL_EPSILON,	double hessacc=DBL_EPSILON)
	   The keyval constructor reads	the following keywords:
       virtual ~Function ()
       Function	& operator= (const Function &)
       Ref< SCMatrixKit	> matrixkit () const
	   Return the SCMatrixKit used to construct vectors and	matrices.
       RefSCDimension dimension	() const
	   Return the SCDimension of the problem.
       virtual double value ()
	   Return the value of the function.
       int value_needed	() const
	   Returns nonzero if the current value	is not up-to-date.
       int do_value (int)
	   If passed a nonzero number, compute the value the next time
	   compute() is	called.
       AccResultdouble & value_result ()
       virtual void set_desired_value_accuracy (double)
	   Set the accuracy to which the value is to be	computed.
       virtual double actual_value_accuracy () const
	   Return the accuracy with which the value has	been computed.
       virtual double desired_value_accuracy ()	const
	   Return the accuracy with which the value is to be computed.

       Public Member Functions inherited from sc::SavableState
       SavableState & operator=	(const SavableState &)
       void save_state (StateOut &)
	   Save	the state of the object	as specified by	the StateOut object.
       void save_object_state (StateOut	&)
	   This	can be used for	saving state when the exact type of the	object
	   is known for	both the save and the restore.
       virtual void save_vbase_state (StateOut &)
	   Save	the virtual bases for the object.
       virtual void save_data_state (StateOut &)
	   Save	the base classes (with save_data_state)	and the	members	in the
	   same	order that the StateIn CTOR initializes	them.

       Public Member Functions inherited from sc::DescribedClass
       DescribedClass (const DescribedClass &)
       DescribedClass &	operator= (const DescribedClass	&)
       ClassDesc * class_desc () const	throw ()
	   This	returns	the unique pointer to the ClassDesc corresponding to
	   the given type_info object.
       const char * class_name () const
	   Return the name of the object's exact type.
       int class_version () const
	   Return the version of the class.
       virtual void print (std::ostream	&=ExEnv::out0()) const
	   Print the object.

       Public Member Functions inherited from sc::RefCount
       int lock_ptr () const
	   Lock	this object.
       int unlock_ptr () const
	   Unlock this object.
       void use_locks (bool inVal)
	   start and stop using	locks on this object
       refcount_t nreference ()	const
	   Return the reference	count.
       refcount_t reference ()
	   Increment the reference count and return the	new count.
       refcount_t dereference ()
	   Decrement the reference count and return the	new count.
       int managed () const
       void unmanage ()
	   Turn	off the	reference counting mechanism for this object.
       int managed () const
	   Return 1 if the object is managed. Otherwise	return 0.

       Public Member Functions inherited from sc::Identity
       Identifier identifier ()
	   Return the Identifier for this argument.
       virtual void obsolete ()
	   Marks all results as	being out of date.

   Protected Member Functions
       void init_variables ()
       void compute ()
	   Recompute at	least the results that have compute true and are not
	   already computed.
       void eigen (RefDiagSCMatrix &vals, RefSCMatrix &vecs, RefDiagSCMatrix
	   &occs)
       void compute_hsos_v1 ()
       distsize_t compute_v2_memory (int ni, int nfuncmax, int nbfme, int
	   nshell, int ndocc, int nsocc, int nvir, int nproc)
       void compute_hsos_v2 ()
       void compute_hsos_v2_lb ()
       int compute_cs_batchsize	(size_t	mem_static, int	nocc_act)
       distsize_t compute_cs_dynamic_memory (int ni, int nocc_act)
       int make_cs_gmat	(RefSymmSCMatrix &Gmat,	double *DPmat)
       int make_cs_gmat_new (RefSymmSCMatrix &Gmat, const RefSymmSCMatrix
	   &DPmat)
       void form_max_dens (double *DPmat, signed char *maxp)
       int init_cs_gmat	()
       void done_cs_gmat ()
       int make_g_d_nor	(RefSymmSCMatrix &Gmat,	double *DPmat, const double
	   *mgdbuff)
       void cs_cphf (double **scf_vector, double *Laj, double *eigval,
	   RefSCMatrix &P2aj)
       void s2pdm_contrib (const double	*intderbuf, double *PHF, double	*P2AO,
	   double **hf_ginter, double **ginter)
       void hcore_cs_grad (double *PHF,	double *PMP2, double **hf_ginter,
	   double **ginter)
       void overlap_cs_grad (double *WHF, double *WMP2,	double **hf_ginter,
	   double **ginter)
       void compute_cs_grad ()

       Protected Member	Functions inherited from sc::Wavefunction
       double min_orthog_res ()
       double max_orthog_res ()
       void copy_orthog_info (const Ref< Wavefunction >	&)

       Protected Member	Functions inherited from sc::MolecularEnergy
       void failure (const char	*)
       virtual void set_energy (double)
	   This	is just	a wrapper around set_value().
       virtual void set_gradient (RefSCVector &)
	   These are passed gradients and hessian in cartesian coordinates.
       virtual void set_hessian	(RefSymmSCMatrix &)
       void x_to_molecule ()
       void molecule_to_x ()

       Protected Member	Functions inherited from sc::Function
       virtual void set_value (double)
       virtual void set_matrixkit (const Ref< SCMatrixKit > &)
	   Set the SCMatrixKit that should be used to construct	the requisite
	   vectors and matrices.
       virtual void set_dimension (const RefSCDimension	&)
       virtual void set_actual_value_accuracy (double)
       virtual void set_actual_gradient_accuracy (double)
       virtual void set_actual_hessian_accuracy	(double)
       RefSCVector & get_x_reference ()
	   Get read/write access to the	coordinates for	modification.
       void do_change_coordinates (const Ref< NonlinearTransform > &)
	   Change the coordinate system	and apply the given transform to
	   intermediates matrices and vectors.

       Protected Member	Functions inherited from sc::SavableState
       SavableState (const SavableState	&)
       SavableState (StateIn &)
	   Each	derived	class StateIn CTOR handles the restore corresponding
	   to calling save_object_state, save_vbase_state, and save_data_state
	   listed above.

       Protected Member	Functions inherited from sc::RefCount
       RefCount	(const RefCount	&)
       RefCount	& operator= (const RefCount &)
       virtual void compute ()=0
	   Recompute at	least the results that have compute true and are not
	   already computed.

   Protected Attributes
       Ref< SCF	> reference_
       Ref< MemoryGrp >	mem
       int nfzc
       int nfzv
       size_t mem_alloc
       double cphf_epsilon_
       int eliminate_in_gmat_
       const double * intbuf_
       Ref< TwoBodyInt > tbint_
       Ref< TwoBodyInt > * tbints_
       Ref< TwoBodyDerivInt > *	tbintder_
       int nbasis
       int noso
       Ref< MessageGrp > msg_
       int nvir
       int nocc
       int nsocc
       Ref< ThreadGrp >	thr_
       int dynamic_
       double print_percent_
       int max_norb_
       int * symorb_irrep_
       int * symorb_num_
       char * method_
       char * algorithm_
       int do_d1_
       int do_d2_
       int nfuncmax
       double hf_energy_
       RefSCVector hf_gradient_
       double restart_ecorr_
       int restart_orbital_v1_
       int restart_orbital_memgrp_

       Protected Attributes inherited from sc::Wavefunction
       int debug_

       Protected Attributes inherited from sc::MolecularEnergy
       Ref< PointGroup > initial_pg_
       int print_molecule_when_changed_

       Protected Attributes inherited from sc::Function
       Ref< SCMatrixKit	> matrixkit_
	   Used	to construct new matrices.
       RefSCVector x_
	   The variables.
       RefSCDimension dim_
	   The dimension of x_.
       AccResultdouble value_
	   The value of	the function at	x_.
       AccResultRefSCVector gradient_
	   The gradient	at x_.
       AccResultRefSymmSCMatrix	hessian_
	   The hessian at x_.

   Additional Inherited	Members
       Static Public Member Functions inherited	from sc::SavableState
       static void save_state (SavableState *s,	StateOut &)
       static SavableState * restore_state (StateIn &si)
	   Restores objects saved with save_state.
       static SavableState * key_restore_state (StateIn	&si, const char
	   *keyword)
	   Like	restore_state, but keyword is used to override values while
	   restoring.
       static SavableState * dir_restore_state (StateIn	&si, const char
	   *objectname,	const char *keyword=0)

Detailed Description
       The MBPT2 class implements several second-order perturbation theory
       methods.

Constructor & Destructor Documentation
   sc::MBPT2::MBPT2 (const Ref<	KeyVal > &)
       The KeyVal constructor.

       reference
	   This	gives the reference wavefunction. It must be an	object of type
	   CLSCF   for	closed-shell  molecules	 and  HSOSSCF  for  open-shell
	   molecules. The is no	default.

       nfzc
	   The number of frozen	core orbitals. The default is 0. If  no	 atoms
	   have	 an atomic number greater than 30, then	the number of orbitals
	   to be frozen	can be automatically determined	by specifying  nfzc  =
	   auto.

       nfzv
	   The number of frozen	virtual	orbitals. The default is 0.

       memory
	   The amount of memory, in bytes, that	each processor may use.

       method
	   This	 gives a string	that must take on one of the values below. The
	   default is mp for closed-shell  systems  and	 zapt  for  open-shell
	   systems.

       mp  Use	M/ller-Plesset	perturbation  theory.  This  is	only valid for
	   closed-shell	systems. Energies and gradients	can be	computed  with
	   this	method.

       opt1
	   Use	the  OPT1  variant  of	open-shell  perturbation  theory. Only
	   energies can	be computed for	open-shell systems.

       opt2
	   Use the  OPT2  variant  of  open-shell  perturbation	 theory.  Only
	   energies can	be computed for	open-shell systems.

       zapt
	   Use	the  ZAPT  variant  of	open-shell  perturbation  theory. Only
	   energies can	be computed for	open-shell systems.

       algorithm
	   This	gives a	string that must take  on  one	of  the	 values	 given
	   below.  The	default	 is memgrp for closed-shell systems. For open-
	   shell systems v1 is used for	a small	number of processors and v2 is
	   used	otherwise.

       memgrp
	   Use the distributed shared memory algorithm (which uses a MemoryGrp
	   object). This is only valid for MP2 energies	and gradients.

       v1  Use algorithm V1. Only energies can be computed. The	maximum	number
	   of processors that  can  be	utilized  is  the  number  of  virtual
	   orbitals.  This  algorithm  computes	few integrals than the others,
	   but has higher communication	requirements.

       v2  Use algorithm V2. Only energies can be computed. The	maximum	number
	   of processors that can be utilized is the number of shells.

       v2lb
	   Use a modified V2 algorithm that  may  compute  more	 two  electron
	   integrals,	 but	may   get   better   load   balance   on   the
	   $O(n_thrm{basis}^5)$	part of	the calculation. Only energies can  be
	   computed. This is recommended only for computations involving large
	   molecules  (where  the  transformation  is  dominant)  on very many
	   processors (approaching the number of shells).

       The v1 and v2 algorithms	are discussed in Ida M.	B. Nielsen and	Edward
       T.  Seidl,  J.  Comp.  Chem.  16,  1301 (1995). The memgrp algorithm is
       discussed in Ida	M. B. Nielsen, Chem. Phys. Lett. 255, 210 (1996).

       memorygrp
	   A MemoryGrp object is used by the memgrp algorithm. If this is  not
	   given the program will try to find an appropriate default.

Member Function	Documentation
   void	sc::MBPT2::compute () [protected],  [virtual]
       Recompute  at  least  the  results  that	 have compute true and are not
       already computed. This should only be called by Result's	members.

       Implements sc::Compute.

       Reimplemented in	sc::MBPT2_R12.

   RefSymmSCMatrix sc::MBPT2::density () [virtual]
       Returns the SO density.

       Implements sc::Wavefunction.

       Reimplemented in	sc::MBPT2_R12.

   int sc::MBPT2::gradient_implemented () const	[virtual]
       Reimplemented from sc::Function.

   int sc::MBPT2::nelectron () [virtual]
       Returns the number of electrons.

       Implements sc::Wavefunction.

   void	sc::MBPT2::obsolete () [virtual]
       Marks all results as being  out	of  date.  Any	subsequent  access  to
       results will cause Compute::compute() to	be called.

       Reimplemented from sc::Compute.

       Reimplemented in	sc::MBPT2_R12.

   void	sc::MBPT2::print (std::ostream & = ExEnv::out0()) const	[virtual]
       Print information about the object.

       Reimplemented from sc::MolecularEnergy.

       Reimplemented in	sc::MBPT2_R12.

   void	sc::MBPT2::save_data_state (StateOut &)	[virtual]
       Save  the  base	classes	 (with save_data_state)	and the	members	in the
       same order that	the  StateIn  CTOR  initializes	 them.	This  must  be
       implemented by the derived class	if the class has data.

       Reimplemented from sc::MolecularEnergy.

       Reimplemented in	sc::MBPT2_R12.

   int sc::MBPT2::spin_polarized () [virtual]
       Return 1	if the alpha density is	not equal to the beta density.

       Implements sc::Wavefunction.

   void	sc::MBPT2::symmetry_changed () [virtual]
       Call  this  if  you have	changed	the molecular symmetry of the molecule
       contained by this MolecularEnergy.

       Reimplemented from sc::MolecularEnergy.

   int sc::MBPT2::value_implemented () const [virtual]
       Information about the availability of values, gradients,	and hessians.

       Reimplemented from sc::Function.

       Reimplemented in	sc::MBPT2_R12.

Author
       Generated automatically by Doxygen for MPQC from	the source code.

Version	2.3.1			Tue May	13 2025			  sc::MBPT2(3)

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