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sc::LebedevLaikovIntegrator(3)	      MPQC	  sc::LebedevLaikovIntegrator(3)

NAME
     sc::LebedevLaikovIntegrator  - An implementation of a Lebedev angular inte-
     grator.

SYNOPSIS
     #include <integrator.h>

     Inherits sc::AngularIntegrator.

   Public Member Functions
     LebedevLaikovIntegrator (const Ref< KeyVal > &)
	 Construct a LebedevLaikovIntegrator using the given KeyVal input.
     LebedevLaikovIntegrator (StateIn &)
     LebedevLaikovIntegrator (int)
     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.
     int nw (void) const
     int num_angular_points (double r_value, int ir)
     double angular_point_cartesian (int iangular, double r, SCVector3 &integra-
	 tion_point) const
     void print (std::ostream &=ExEnv::out0()) const
	 Print the object.

     Public Member Functions inherited from sc::AngularIntegrator
     AngularIntegrator (const Ref< KeyVal > &)
     AngularIntegrator (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.
     virtual int nw (void) const =0
     virtual int num_angular_points (double r_value, int ir)=0
     virtual double angular_point_cartesian (int iangular, double  r,  SCVector3
	 &integration_point) const =0

     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.

   Protected Member Functions
     void init (int n)

     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 &)

   Protected Attributes
     int npoint_
     double * x_
     double * y_
     double * z_
     double * w_

   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	*object-
	 name, const char *keyword=0)

Detailed Description
     An implementation of a Lebedev angular integrator.

     It uses code written by Dr. Dmitri N. Laikov.

     This  can	generate  grids with the following numbers of points: 6, 14, 26,
     38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 386, 434, 482, 530,
     590, 650, 698, 770, 830, 890, 974, 1046,  1118,  1202,  1274,  1358,  1454,
     1538,  1622,  1730,  1814,  1910, 2030, 2126, 2222, 2354, 2450, 2558, 2702,
     2810, 2930, 3074, 3182, 3314, 3470, 3590, 3722,  3890,  4010,  4154,  4334,
     4466, 4610, 4802, 4934, 5090, 5294, 5438, 5606, and 5810.

     V.I.  Lebedev,  and D.N. Laikov 'A quadrature formula for the sphere of the
     131st
      algebraic order of accuracy' Doklady Mathematics, Vol. 59,  No.  3,  1999,
     pp. 477-481.

     V.I. Lebedev 'A quadrature formula for the sphere of 59th algebraic
      order  of  accuracy'  Russian  Acad.  Sci. Dokl. Math., Vol. 50, 1995, pp.
     283-286.

     V.I. Lebedev, and A.L. Skorokhodov 'Quadrature formulas of orders	41,  47,
     and  53  for the sphere' Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp.
     587-592.

     V.I. Lebedev 'Spherical quadrature formulas exact to orders 25-29' Siberian
     Mathematical Journal, Vol. 18, 1977, pp. 99-107.

     V.I. Lebedev 'Quadratures on a sphere' Computational Mathematics and Mathe-
     matical Physics, Vol. 16, 1976, pp. 10-24.

     V.I. Lebedev 'Values of the nodes and weights of ninth to seventeenth
      order Gauss-Markov quadrature formulae invariant under the
      octahedron group with inversion' Computational Mathematics and  Mathemati-
     cal Physics, Vol. 15, 1975, pp. 44-51.

Constructor & Destructor Documentation
   sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator (const Ref< KeyVal > &)
     Construct	a  LebedevLaikovIntegrator  using  the given KeyVal input. The n
     keyword gives the number of angular points. The default is 302.

Member Function Documentation
   double  sc::LebedevLaikovIntegrator::angular_point_cartesian  (int  iangular,
     double r, SCVector3 & integration_point) const [virtual]
     Implements sc::AngularIntegrator.

   int	sc::LebedevLaikovIntegrator::num_angular_points (double r_value, int ir)
     [virtual]
     Implements sc::AngularIntegrator.

   int sc::LebedevLaikovIntegrator::nw (void) const [virtual]
     Implements sc::AngularIntegrator.

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

     Reimplemented from sc::DescribedClass.

   void sc::LebedevLaikovIntegrator::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::AngularIntegrator.

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

Version 2.3.1			 Thu Sep 3 2026   sc::LebedevLaikovIntegrator(3)

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