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

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

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
	   &integration_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
	   *objectname,	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
       Mathematical 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
       Mathematical 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			Tue May	13 2025	sc::LebedevLaikovIntegrator(3)

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