libMesh::QConical Class Reference

#include <quadrature_conical.h>

Inheritance diagram for libMesh::QConical:
Inheritance graph
[legend]

List of all members.

Public Member Functions

 QConical (const unsigned int _dim, const Order _order=INVALID_ORDER)
 ~QConical ()
QuadratureType type () const
ElemType get_elem_type () const
unsigned int get_p_level () const
unsigned int n_points () const
unsigned int get_dim () const
const std::vector< Point > & get_points () const
std::vector< Point > & get_points ()
const std::vector< Real > & get_weights () const
std::vector< Real > & get_weights ()
Point qp (const unsigned int i) const
Real w (const unsigned int i) const
void init (const ElemType type=INVALID_ELEM, unsigned int p_level=0)
Order get_order () const
void print_info (std::ostream &os=libMesh::out) const
void scale (std::pair< Real, Real > old_range, std::pair< Real, Real > new_range)
virtual bool shapes_need_reinit ()

Static Public Member Functions

static AutoPtr< QBase > build (const std::string &name, const unsigned int _dim, const Order _order=INVALID_ORDER)
static AutoPtr< QBase > build (const QuadratureType _qt, const unsigned int _dim, const Order _order=INVALID_ORDER)
static void print_info (std::ostream &out=libMesh::out)
static std::string get_info ()
static unsigned int n_objects ()
static void enable_print_counter_info ()
static void disable_print_counter_info ()

Public Attributes

bool allow_rules_with_negative_weights

Protected Types

typedef std::map< std::string,
std::pair< unsigned int,
unsigned int > > 		Counts

Protected Member Functions

virtual void init_0D (const ElemType type=INVALID_ELEM, unsigned int p_level=0)
void increment_constructor_count (const std::string &name)
void increment_destructor_count (const std::string &name)

Protected Attributes

libMesh::err<< "ERROR: Seems
as if this quadrature rule"
<< std::endl<< " is not
implemented for 2D."<< std::endl;libmesh_error();}#endif virtual void init_3D(const ElemType, unsigned int=0)#ifndef DEBUG{}#else{libMesh::err<< "ERROR: Seems as if this quadrature rule"<< std::endl<< " is not implemented for 3D."<< std::endl;libmesh_error();}#endif void tensor_product_quad(const QBase &q1D);void tensor_product_hex(const QBase &q1D);void tensor_product_prism(const QBase &q1D, const QBase &q2D);const unsigned int _dim;const Order _order;ElemType _type;unsigned int _p_level;std::vector< Point > 		_points
std::vector< Real > _weights

Static Protected Attributes

static Counts _counts
static Threads::atomic
< unsigned int > 		_n_objects
static Threads::spin_mutex _mutex
static bool _enable_print_counter = true

Private Member Functions

void init_1D (const ElemType, unsigned int=0)
void init_2D (const ElemType _type=INVALID_ELEM, unsigned int p_level=0)
void init_3D (const ElemType _type=INVALID_ELEM, unsigned int p_level=0)
void conical_product_tri (unsigned int p)
void conical_product_tet (unsigned int p)
void conical_product_pyramid (unsigned int p)

Friends

std::ostream & operator<< (std::ostream &os, const QBase &q)

Detailed Description

This class implements the so-called conical product quadrature rules for Tri and Tet elements. These rules are generally non-optimal in the number of evaluation points, but have the nice property of having all positive weights and being well-defined to any order for which their underlying 1D Gauss and Jacobi quadrature rules are available.

The construction of these rules is given by e.g.

Stroud, A.H. "Approximate Calculation of Multiple Integrals.", 1972

Definition at line 43 of file quadrature_conical.h.

Member Typedef Documentation

typedef std::map<std::string, std::pair<unsigned int, unsigned int> > libMesh::ReferenceCounter::Counts [protected, inherited]

Data structure to log the information. The log is identified by the class name.

Definition at line 113 of file reference_counter.h.

Constructor & Destructor Documentation

libMesh::QConical::QConical ( const unsigned int  _dim,
const Order  _order = INVALID_ORDER 
)

Constructor. Declares the order of the quadrature rule.

Definition at line 35 of file quadrature_conical.C.

00036                                   : QBase(d,o)
00037 {
00038 }

libMesh::QConical::~QConical (  ) 

Destructor.

Definition at line 43 of file quadrature_conical.C.

00044 {
00045 }

Member Function Documentation

AutoPtr< QBase > libMesh::QBase::build ( const QuadratureType  _qt,
const unsigned int  _dim,
const Order  _order = INVALID_ORDER 
) [static, inherited]

Builds a specific quadrature rule, identified through the QuadratureType. An AutoPtr<QBase> is returned to prevent a memory leak. This way the user need not remember to delete the object. Enables run-time decision of the quadrature rule.

Definition at line 48 of file quadrature_build.C.

References libMesh::err, libMeshEnums::FIRST, libMeshEnums::FORTYTHIRD, libMesh::out, libMeshEnums::QCLOUGH, libMeshEnums::QGAUSS, libMeshEnums::QJACOBI_1_0, libMeshEnums::QJACOBI_2_0, libMeshEnums::QSIMPSON, libMeshEnums::QTRAP, libMeshEnums::THIRD, and libMeshEnums::TWENTYTHIRD.

00051 {
00052   switch (_qt)
00053     {
00054 
00055     case QCLOUGH:
00056       {
00057 #ifdef DEBUG
00058         if (_order > TWENTYTHIRD)
00059           {
00060             libMesh::out << "WARNING: Clough quadrature implemented" << std::endl
00061                           << " up to TWENTYTHIRD order." << std::endl;
00062           }
00063 #endif
00064 
00065         AutoPtr<QBase> ap(new QClough(_dim, _order));
00066         return ap;
00067       }
00068 
00069     case QGAUSS:
00070       {
00071 
00072 #ifdef DEBUG
00073         if (_order > FORTYTHIRD)
00074           {
00075             libMesh::out << "WARNING: Gauss quadrature implemented" << std::endl
00076                           << " up to FORTYTHIRD order." << std::endl;
00077           }
00078 #endif
00079 
00080         AutoPtr<QBase> ap(new QGauss(_dim, _order));
00081         return ap;
00082       }
00083 
00084     case QJACOBI_1_0:
00085       {
00086 
00087 #ifdef DEBUG
00088         if (_order > TWENTYTHIRD)
00089           {
00090             libMesh::out << "WARNING: Jacobi(1,0) quadrature implemented" << std::endl
00091                           << " up to TWENTYTHIRD order." << std::endl;
00092           }
00093 
00094         if (_dim > 1)
00095           {
00096             libMesh::out << "WARNING: Jacobi(1,0) quadrature implemented" << std::endl
00097                           << " in 1D only." << std::endl;
00098           }
00099 #endif
00100 
00101         AutoPtr<QBase> ap(new QJacobi(_dim, _order, 1, 0));
00102         return ap;
00103       }
00104 
00105     case QJACOBI_2_0:
00106       {
00107 
00108 #ifdef DEBUG
00109         if (_order > TWENTYTHIRD)
00110           {
00111             libMesh::out << "WARNING: Jacobi(2,0) quadrature implemented" << std::endl
00112                           << " up to TWENTYTHIRD order." << std::endl;
00113           }
00114 
00115         if (_dim > 1)
00116           {
00117             libMesh::out << "WARNING: Jacobi(2,0) quadrature implemented" << std::endl
00118                           << " in 1D only." << std::endl;
00119           }
00120 #endif
00121 
00122         AutoPtr<QBase> ap(new QJacobi(_dim, _order, 2, 0));
00123         return ap;
00124       }
00125 
00126     case QSIMPSON:
00127       {
00128 
00129 #ifdef DEBUG
00130         if (_order > THIRD)
00131           {
00132             libMesh::out << "WARNING: Simpson rule provides only" << std::endl
00133                           << " THIRD order!" << std::endl;
00134           }
00135 #endif
00136 
00137         AutoPtr<QBase> ap(new QSimpson(_dim));
00138         return ap;
00139       }
00140 
00141     case QTRAP:
00142       {
00143 
00144 #ifdef DEBUG
00145         if (_order > FIRST)
00146           {
00147             libMesh::out << "WARNING: Trapezoidal rule provides only" << std::endl
00148                           << " FIRST order!" << std::endl;
00149           }
00150 #endif
00151 
00152         AutoPtr<QBase> ap(new QTrap(_dim));
00153         return ap;
00154       }
00155 
00156 
00157     default:
00158       {
00159         libMesh::err << "ERROR: Bad qt=" << _qt << std::endl;
00160         libmesh_error();
00161       }
00162     }
00163 
00164 
00165   libmesh_error();
00166   AutoPtr<QBase> ap(NULL);
00167   return ap;
00168 }

AutoPtr< QBase > libMesh::QBase::build ( const std::string &  name,
const unsigned int  _dim,
const Order  _order = INVALID_ORDER 
) [static, inherited]

Builds a specific quadrature rule, identified through the name string. An AutoPtr<QBase> is returned to prevent a memory leak. This way the user need not remember to delete the object. Enables run-time decision of the quadrature rule. The input parameter name must be mappable through the Utility::string_to_enum<>() function.

Definition at line 37 of file quadrature_build.C.

References libMesh::Utility::string_to_enum< QuadratureType >().

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule().

00040 {
00041   return QBase::build (Utility::string_to_enum<QuadratureType> (type),
00042                        _dim,
00043                        _order);
00044 }

void libMesh::QConical::conical_product_pyramid ( unsigned int  p  )  [private]

Implementation of conical product rule for a Pyramid in 3D of order = _order+2*p.

Definition at line 180 of file quadrature_conical.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::QBase::get_dim(), libMesh::QBase::n_points(), libMesh::QBase::qp(), libMesh::Real, and libMesh::QBase::w().

Referenced by init_3D().

00181 {
00182   // Be sure the underlying rule object was built with the same dimension as the
00183   // rule we are about to construct.
00184   libmesh_assert_equal_to (this->get_dim(), 3);
00185 
00186   QGauss  gauss1D(1,static_cast<Order>(_order+2*p));
00187   QJacobi jac1D(1,static_cast<Order>(_order+2*p),2,0);
00188 
00189   // These rules should have the same number of points
00190   libmesh_assert_equal_to (gauss1D.n_points(), jac1D.n_points());
00191 
00192   // Save the number of points as a convenient variable
00193   const unsigned int np = gauss1D.n_points();
00194 
00195   // Resize the points and weights vectors
00196   _points.resize(np * np * np);
00197   _weights.resize(np * np * np);
00198 
00199   // Compute the conical product
00200   unsigned int q = 0;
00201   for (unsigned int i=0; i<np; ++i)
00202     for (unsigned int j=0; j<np; ++j)
00203       for (unsigned int k=0; k<np; ++k, ++q)
00204       {
00205         const Real xi=gauss1D.qp(i)(0);
00206         const Real yj=gauss1D.qp(j)(0);
00207         const Real zk=jac1D.qp(k)(0);
00208 
00209         _points[q](0) = (1.-zk) * xi;
00210         _points[q](1) = (1.-zk) * yj;
00211         _points[q](2) = zk;
00212         _weights[q]   = gauss1D.w(i) * gauss1D.w(j) * jac1D.w(k);
00213       }
00214 
00215 
00216 }

void libMesh::QConical::conical_product_tet ( unsigned int  p  )  [private]

Implementation of conical product rule for a Tet in 3D of order = _order+2*p.

Definition at line 103 of file quadrature_conical.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::QBase::get_dim(), libMesh::QBase::n_points(), libMesh::QBase::qp(), libMesh::QBase::scale(), and libMesh::QBase::w().

Referenced by init_3D().

00104 {
00105   // Be sure the underlying rule object was built with the same dimension as the
00106   // rule we are about to construct.
00107   libmesh_assert_equal_to (this->get_dim(), 3);
00108 
00109   QGauss  gauss1D(1,static_cast<Order>(_order+2*p));
00110   QJacobi jacA1D(1,static_cast<Order>(_order+2*p),1,0);
00111   QJacobi jacB1D(1,static_cast<Order>(_order+2*p),2,0);
00112 
00113   // The Gauss rule needs to be scaled to [0,1]
00114   std::pair<Real, Real> old_range(-1.0L, 1.0L);
00115   std::pair<Real, Real> new_range( 0.0L, 1.0L);
00116   gauss1D.scale(old_range,
00117                 new_range);
00118 
00119   // Now construct the points and weights for the conical product rule.
00120 
00121   // All rules should have the same number of points
00122   libmesh_assert_equal_to (gauss1D.n_points(), jacA1D.n_points());
00123   libmesh_assert_equal_to (jacA1D.n_points(), jacB1D.n_points());
00124 
00125   // Save the number of points as a convenient variable
00126   const unsigned int np = gauss1D.n_points();
00127 
00128   // All rules should be between x=0 and x=1
00129   libmesh_assert_greater_equal (gauss1D.qp(0)(0), 0.0);
00130   libmesh_assert_less_equal (gauss1D.qp(np-1)(0), 1.0);
00131   libmesh_assert_greater_equal (jacA1D.qp(0)(0), 0.0);
00132   libmesh_assert_less_equal (jacA1D.qp(np-1)(0), 1.0);
00133   libmesh_assert_greater_equal (jacB1D.qp(0)(0), 0.0);
00134   libmesh_assert_less_equal (jacB1D.qp(np-1)(0), 1.0);
00135 
00136   // Resize the points and weights vectors
00137   _points.resize(np * np * np);
00138   _weights.resize(np * np * np);
00139 
00140   // Compute the conical product
00141   unsigned int gp = 0;
00142   for (unsigned int i=0; i<np; i++)
00143     for (unsigned int j=0; j<np; j++)
00144       for (unsigned int k=0; k<np; k++)
00145       {
00146         _points[gp](0) = jacB1D.qp(k)(0);                                                  //t[k];
00147         _points[gp](1) = jacA1D.qp(j)(0)  * (1.-jacB1D.qp(k)(0));                         //s[j]*(1.-t[k]);
00148         _points[gp](2) = gauss1D.qp(i)(0) * (1.-jacA1D.qp(j)(0)) * (1.-jacB1D.qp(k)(0)); //r[i]*(1.-s[j])*(1.-t[k]);
00149         _weights[gp]   = gauss1D.w(i)     * jacA1D.w(j)          * jacB1D.w(k);          //A[i]*B[j]*C[k];
00150         gp++;
00151       }
00152 }

void libMesh::QConical::conical_product_tri ( unsigned int  p  )  [private]

Implementation of conical product rule for a Tri in 2D of order = _order+2*p.

Definition at line 52 of file quadrature_conical.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::QBase::get_dim(), libMesh::QBase::n_points(), libMesh::QBase::qp(), libMesh::QBase::scale(), and libMesh::QBase::w().

Referenced by init_2D().

00053 {
00054   // Be sure the underlying rule object was built with the same dimension as the
00055   // rule we are about to construct.
00056   libmesh_assert_equal_to (this->get_dim(), 2);
00057 
00058   QGauss  gauss1D(1,static_cast<Order>(_order+2*p));
00059   QJacobi jac1D(1,static_cast<Order>(_order+2*p),1,0);
00060 
00061   // The Gauss rule needs to be scaled to [0,1]
00062   std::pair<Real, Real> old_range(-1.0L, 1.0L);
00063   std::pair<Real, Real> new_range( 0.0L, 1.0L);
00064   gauss1D.scale(old_range,
00065                 new_range);
00066 
00067   // Now construct the points and weights for the conical product rule.
00068 
00069   // Both rules should have the same number of points.
00070   libmesh_assert_equal_to (gauss1D.n_points(), jac1D.n_points());
00071 
00072   // Save the number of points as a convenient variable
00073   const unsigned int np = gauss1D.n_points();
00074 
00075   // Both rules should be between x=0 and x=1
00076   libmesh_assert_greater_equal (gauss1D.qp(0)(0), 0.0);
00077   libmesh_assert_less_equal (gauss1D.qp(np-1)(0), 1.0);
00078   libmesh_assert_greater_equal (jac1D.qp(0)(0), 0.0);
00079   libmesh_assert_less_equal (jac1D.qp(np-1)(0), 1.0);
00080 
00081   // Resize the points and weights vectors
00082   _points.resize(np * np);
00083   _weights.resize(np * np);
00084 
00085   // Compute the conical product
00086   unsigned int gp = 0;
00087   for (unsigned int i=0; i<np; i++)
00088     for (unsigned int j=0; j<np; j++)
00089       {
00090         _points[gp](0) = jac1D.qp(j)(0);                          //s[j];
00091         _points[gp](1) = gauss1D.qp(i)(0) * (1.-jac1D.qp(j)(0)); //r[i]*(1.-s[j]);
00092         _weights[gp]   = gauss1D.w(i) * jac1D.w(j);              //A[i]*B[j];
00093         gp++;
00094       }
00095 }

void libMesh::ReferenceCounter::disable_print_counter_info (  )  [static, inherited]

Definition at line 106 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

00107 {
00108   _enable_print_counter = false;
00109   return;
00110 }

void libMesh::ReferenceCounter::enable_print_counter_info (  )  [static, inherited]

Methods to enable/disable the reference counter output from print_info()

Definition at line 100 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

00101 {
00102   _enable_print_counter = true;
00103   return;
00104 }

unsigned int libMesh::QBase::get_dim (  )  const [inline, inherited]
Returns:
the dimension of the quadrature rule.

Definition at line 123 of file quadrature.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule(), conical_product_pyramid(), conical_product_tet(), and conical_product_tri().

00123 { return _dim;  }

ElemType libMesh::QBase::get_elem_type (  )  const [inline, inherited]
Returns:
the current element type we're set up for

Definition at line 104 of file quadrature.h.

00105     { return _type; }

std::string libMesh::ReferenceCounter::get_info (  )  [static, inherited]

Gets a string containing the reference information.

Definition at line 47 of file reference_counter.C.

References libMesh::ReferenceCounter::_counts, and libMesh::Quality::name().

Referenced by libMesh::ReferenceCounter::print_info().

00048 {
00049 #if defined(LIBMESH_ENABLE_REFERENCE_COUNTING) && defined(DEBUG)
00050 
00051   std::ostringstream oss;
00052 
00053   oss << '\n'
00054       << " ---------------------------------------------------------------------------- \n"
00055       << "| Reference count information                                                |\n"
00056       << " ---------------------------------------------------------------------------- \n";
00057 
00058   for (Counts::iterator it = _counts.begin();
00059        it != _counts.end(); ++it)
00060     {
00061       const std::string name(it->first);
00062       const unsigned int creations    = it->second.first;
00063       const unsigned int destructions = it->second.second;
00064 
00065       oss << "| " << name << " reference count information:\n"
00066           << "|  Creations:    " << creations    << '\n'
00067           << "|  Destructions: " << destructions << '\n';
00068     }
00069 
00070   oss << " ---------------------------------------------------------------------------- \n";
00071 
00072   return oss.str();
00073 
00074 #else
00075 
00076   return "";
00077 
00078 #endif
00079 }

Order libMesh::QBase::get_order (  )  const [inline, inherited]
Returns:
the order of the quadrature rule.

Definition at line 169 of file quadrature.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule().

00169 { return static_cast<Order>(_order + _p_level); }

unsigned int libMesh::QBase::get_p_level (  )  const [inline, inherited]
Returns:
the current p refinement level we're initialized with

Definition at line 110 of file quadrature.h.

00111     { return _p_level; }

std::vector<Point>& libMesh::QBase::get_points (  )  [inline, inherited]
Returns:
a std::vector containing the quadrature point locations on a reference object as a writeable reference.

Definition at line 135 of file quadrature.h.

References libMesh::QBase::_points.

00135 { return _points;  }

const std::vector<Point>& libMesh::QBase::get_points (  )  const [inline, inherited]
Returns:
a std::vector containing the quadrature point locations on a reference object.

Definition at line 129 of file quadrature.h.

References libMesh::QBase::_points.

Referenced by libMesh::FE< Dim, T >::edge_reinit(), libMesh::QClough::init_1D(), libMesh::QMonomial::init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QMonomial::init_3D(), libMesh::QGauss::init_3D(), libMesh::InfFE< Dim, T_radial, T_map >::init_face_shape_functions(), libMesh::InfFE< Dim, T_radial, T_map >::init_shape_functions(), libMesh::InfFE< Dim, T_radial, T_map >::reinit(), libMesh::FEXYZ< Dim >::reinit(), and libMesh::FE< Dim, T >::reinit().

00129 { return _points;  }

std::vector<Real>& libMesh::QBase::get_weights (  )  [inline, inherited]
Returns:
a std::vector containing the quadrature weights.

Definition at line 145 of file quadrature.h.

References libMesh::QBase::_weights.

00145 { return _weights; }

const std::vector<Real>& libMesh::QBase::get_weights (  )  const [inline, inherited]
Returns:
a std::vector containing the quadrature weights.

Definition at line 140 of file quadrature.h.

References libMesh::QBase::_weights.

Referenced by libMesh::FE< Dim, T >::edge_reinit(), libMesh::QClough::init_1D(), libMesh::QMonomial::init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QMonomial::init_3D(), libMesh::QGauss::init_3D(), libMesh::InfFE< Dim, T_radial, T_map >::init_face_shape_functions(), libMesh::InfFE< Dim, T_radial, T_map >::init_shape_functions(), libMesh::FEXYZ< Dim >::reinit(), and libMesh::FE< Dim, T >::reinit().

00140 { return _weights; }

void libMesh::ReferenceCounter::increment_constructor_count ( const std::string &  name  )  [inline, protected, inherited]

Increments the construction counter. Should be called in the constructor of any derived class that will be reference counted.

Definition at line 163 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::ReferenceCountedObject().

00164 {
00165   Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
00166   std::pair<unsigned int, unsigned int>& p = _counts[name];
00167 
00168   p.first++;
00169 }

void libMesh::ReferenceCounter::increment_destructor_count ( const std::string &  name  )  [inline, protected, inherited]

Increments the destruction counter. Should be called in the destructor of any derived class that will be reference counted.

Definition at line 176 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::~ReferenceCountedObject().

00177 {
00178   Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
00179   std::pair<unsigned int, unsigned int>& p = _counts[name];
00180 
00181   p.second++;
00182 }

void libMesh::QBase::init ( const ElemType  type = INVALID_ELEM,
unsigned int  p_level = 0 
) [inherited]

Initializes the data structures to contain a quadrature rule for an object of type type.

Definition at line 27 of file quadrature.C.

References libMesh::QBase::init_0D(), libMesh::QBase::init_1D(), and libMesh::QBase::init_2D().

Referenced by libMesh::FE< Dim, T >::edge_reinit(), libMesh::QClough::init_1D(), libMesh::QTrap::init_2D(), libMesh::QSimpson::init_2D(), libMesh::QMonomial::init_2D(), libMesh::QGrid::init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), libMesh::QMonomial::init_3D(), libMesh::QGrid::init_3D(), libMesh::QGauss::init_3D(), libMesh::InfFE< Dim, T_radial, T_map >::init_face_shape_functions(), libMesh::QGauss::QGauss(), libMesh::QJacobi::QJacobi(), libMesh::QSimpson::QSimpson(), libMesh::QTrap::QTrap(), libMesh::InfFE< Dim, T_radial, T_map >::reinit(), libMesh::FEXYZ< Dim >::reinit(), and libMesh::FE< Dim, T >::reinit().

00029 {
00030   // check to see if we have already
00031   // done the work for this quadrature rule
00032   if (t == _type && p == _p_level)
00033     return;
00034   else
00035     {
00036       _type = t;
00037       _p_level = p;
00038     }
00039 
00040 
00041 
00042   switch(_dim)
00043     {
00044     case 0:
00045       this->init_0D(_type,_p_level);
00046 
00047       return;
00048 
00049     case 1:
00050       this->init_1D(_type,_p_level);
00051 
00052       return;
00053 
00054     case 2:
00055       this->init_2D(_type,_p_level);
00056 
00057       return;
00058 
00059     case 3:
00060       this->init_3D(_type,_p_level);
00061 
00062       return;
00063 
00064     default:
00065       libmesh_error();
00066     }
00067 }

void libMesh::QBase::init_0D ( const ElemType  type = INVALID_ELEM,
unsigned int  p_level = 0 
) [protected, virtual, inherited]

Initializes the 0D quadrature rule by filling the points and weights vectors with the appropriate values. Generally this is just one point with weight 1.

Definition at line 71 of file quadrature.C.

References libMesh::QBase::_points, and libMesh::QBase::_weights.

Referenced by libMesh::QBase::init().

00073 {
00074   _points.resize(1);
00075   _weights.resize(1);
00076   _points[0] = Point(0.);
00077   _weights[0] = 1.0;
00078 }

void libMesh::QConical::init_1D ( const   type,
unsigned  p_level = 0 
) [inline, private, virtual]

Initializes the 1D quadrature rule by filling the points and weights vectors with the appropriate values. The order of the rule will be defined by the implementing class. It is assumed that derived quadrature rules will at least define the init_1D function, therefore it is pure virtual.

Implements libMesh::QBase.

Definition at line 65 of file quadrature_conical.h.

00067   {
00068     // See about making this non-pure virtual in the base class
00069     libmesh_error();
00070   }

void libMesh::QConical::init_2D ( const ElemType  _type = INVALID_ELEM,
unsigned int  p_level = 0 
) [private, virtual]

The conical product rules are defined in 2D only for Tris.

Reimplemented from libMesh::QBase.

Definition at line 27 of file quadrature_conical_2D.C.

References conical_product_tri(), libMesh::err, libMeshEnums::TRI3, and libMeshEnums::TRI6.

00029 {
00030   switch (type_in)
00031     {
00032     case TRI3:
00033     case TRI6:
00034       {
00035         this->conical_product_tri(p);
00036         return;
00037 
00038       } // end case TRI3, TRI6
00039 
00040 
00041 
00042       //---------------------------------------------
00043       // Unsupported element type
00044     default:
00045       {
00046         libMesh::err << "ERROR: Unsupported element type: " << type_in << std::endl;
00047         libmesh_error();
00048       }
00049     } // end switch (type_in)
00050 
00051   // We must have returned or errored-out by this point.  If not,
00052   // throw an error now.
00053   libmesh_error();
00054   return;
00055 }

void libMesh::QConical::init_3D ( const ElemType  _type = INVALID_ELEM,
unsigned int  p_level = 0 
) [private]

The conical product rules are defined in 3D only for Tets.

Definition at line 27 of file quadrature_conical_3D.C.

References conical_product_pyramid(), conical_product_tet(), libMesh::err, libMeshEnums::PYRAMID5, libMeshEnums::TET10, and libMeshEnums::TET4.

00029 {
00030   switch (type_in)
00031     {
00032     case TET4:
00033     case TET10:
00034       {
00035         this->conical_product_tet(p);
00036         return;
00037 
00038       } // end case TET4, TET10
00039 
00040     case PYRAMID5:
00041       {
00042         this->conical_product_pyramid(p);
00043         return;
00044 
00045       } // end case PYRAMID5
00046 
00047 
00048       //---------------------------------------------
00049       // Unsupported element type
00050     default:
00051       {
00052         libMesh::err << "ERROR: Unsupported element type: " << type_in << std::endl;
00053         libmesh_error();
00054       }
00055     } // end switch (type_in)
00056 
00057   // We must have returned or errored-out by this point.  If not,
00058   // throw an error now.
00059   libmesh_error();
00060   return;
00061 }

static unsigned int libMesh::ReferenceCounter::n_objects (  )  [inline, static, inherited]

Prints the number of outstanding (created, but not yet destroyed) objects.

Definition at line 79 of file reference_counter.h.

References libMesh::ReferenceCounter::_n_objects.

00080   { return _n_objects; }

unsigned int libMesh::QBase::n_points (  )  const [inline, inherited]
Returns:
the number of points associated with the quadrature rule.

Definition at line 116 of file quadrature.h.

References libMesh::QBase::_points.

Referenced by libMesh::FEGenericBase< OutputType >::coarsened_dof_values(), libMesh::InfFE< Dim, T_radial, T_map >::combine_base_radial(), conical_product_pyramid(), conical_product_tet(), conical_product_tri(), libMesh::InfFE< Dim, T_radial, T_map >::init_face_shape_functions(), libMesh::InfFE< Dim, T_radial, T_map >::init_shape_functions(), libMesh::FE< Dim, T >::n_quadrature_points(), libMesh::ProjectFEMSolution::operator()(), and libMesh::QBase::print_info().

00117     { libmesh_assert (!_points.empty());
00118       return libmesh_cast_int<unsigned int>(_points.size()); }

void libMesh::ReferenceCounter::print_info ( std::ostream &  out = libMesh::out  )  [static, inherited]

Prints the reference information, by default to libMesh::out.

Definition at line 88 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter, and libMesh::ReferenceCounter::get_info().

00089 {
00090   if( _enable_print_counter ) out_stream << ReferenceCounter::get_info();
00091 }

void libMesh::QBase::print_info ( std::ostream &  os = libMesh::out  )  const [inline, inherited]

Prints information relevant to the quadrature rule, by default to libMesh::out.

Definition at line 362 of file quadrature.h.

References libMesh::QBase::_points, libMesh::QBase::_weights, and libMesh::QBase::n_points().

Referenced by libMesh::operator<<().

00363 {
00364   libmesh_assert(!_points.empty());
00365   libmesh_assert(!_weights.empty());
00366 
00367   os << "N_Q_Points=" << this->n_points() << std::endl << std::endl;
00368   for (unsigned int qpoint=0; qpoint<this->n_points(); qpoint++)
00369     {
00370       os << " Point " << qpoint << ":\n"
00371          << "  "
00372          << _points[qpoint]
00373          << " Weight:\n "
00374          << "  w=" << _weights[qpoint] << "\n" << std::endl;
00375     }
00376 }

Point libMesh::QBase::qp ( const unsigned int  i  )  const [inline, inherited]
Returns:
the $ i^{th} $ quadrature point on the reference object.

Definition at line 150 of file quadrature.h.

References libMesh::QBase::_points.

Referenced by conical_product_pyramid(), conical_product_tet(), and conical_product_tri().

00151     { libmesh_assert_less (i, _points.size()); return _points[i]; }

void libMesh::QBase::scale ( std::pair< Real, Real >  old_range,
std::pair< Real, Real >  new_range 
) [inherited]

Maps the points of a 1D interval quadrature rule (typically [-1,1]) to any other 1D interval (typically [0,1]) and scales the weights accordingly. The quadrature rule will be mapped from the entries of old_range to the entries of new_range.

Definition at line 82 of file quadrature.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, and libMesh::Real.

Referenced by conical_product_tet(), and conical_product_tri().

00084 {
00085   // Make sure we are in 1D
00086   libmesh_assert_equal_to (_dim, 1);
00087 
00088   // Make sure that we have sane ranges
00089   libmesh_assert_greater (new_range.second, new_range.first);
00090   libmesh_assert_greater (old_range.second, old_range.first);
00091 
00092   // Make sure there are some points
00093   libmesh_assert_greater (_points.size(), 0);
00094 
00095   // We're mapping from old_range -> new_range
00096   for (unsigned int i=0; i<_points.size(); i++)
00097     {
00098       _points[i](0) =
00099         (_points[i](0) - old_range.first) *
00100         (new_range.second - new_range.first) /
00101         (old_range.second - old_range.first) +
00102         new_range.first;
00103     }
00104 
00105   // Compute the scale factor and scale the weights
00106   const Real scfact = (new_range.second - new_range.first) /
00107                       (old_range.second - old_range.first);
00108 
00109   for (unsigned int i=0; i<_points.size(); i++)
00110     _weights[i] *= scfact;
00111 }

virtual bool libMesh::QBase::shapes_need_reinit (  )  [inline, virtual, inherited]

Returns true if the shape functions need to be recalculated.

This can happen if the number of points or their positions change.

By default this will return false.

Definition at line 198 of file quadrature.h.

Referenced by libMesh::FE< Dim, T >::edge_reinit(), and libMesh::FE< Dim, T >::reinit().

00198 { return false; }

QuadratureType libMesh::QConical::type (  )  const [inline, virtual]
Returns:
the QuadratureType for this class

Implements libMesh::QBase.

Definition at line 61 of file quadrature_conical.h.

References libMeshEnums::QCONICAL.

00061 { return QCONICAL; }

Real libMesh::QBase::w ( const unsigned int  i  )  const [inline, inherited]
Returns:
the $ i^{th} $ quadrature weight.

Definition at line 156 of file quadrature.h.

References libMesh::QBase::_weights.

Referenced by conical_product_pyramid(), conical_product_tet(), and conical_product_tri().

00157     { libmesh_assert_less (i, _weights.size()); return _weights[i]; }

Friends And Related Function Documentation

std::ostream& operator<< ( std::ostream &  os,
const QBase &  q 
) [friend, inherited]

Same as above, but allows you to use the stream syntax.

Member Data Documentation

ReferenceCounter::Counts libMesh::ReferenceCounter::_counts [static, protected, inherited]

Actually holds the data.

Definition at line 118 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::get_info(), libMesh::ReferenceCounter::increment_constructor_count(), and libMesh::ReferenceCounter::increment_destructor_count().

bool libMesh::ReferenceCounter::_enable_print_counter = true [static, protected, inherited]

Flag to control whether reference count information is printed when print_info is called.

Definition at line 137 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::disable_print_counter_info(), libMesh::ReferenceCounter::enable_print_counter_info(), and libMesh::ReferenceCounter::print_info().

Threads::spin_mutex libMesh::ReferenceCounter::_mutex [static, protected, inherited]

Mutual exclusion object to enable thread-safe reference counting.

Definition at line 131 of file reference_counter.h.

Threads::atomic< unsigned int > libMesh::ReferenceCounter::_n_objects [static, protected, inherited]

The number of objects. Print the reference count information when the number returns to 0.

Definition at line 126 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::n_objects(), libMesh::ReferenceCounter::ReferenceCounter(), and libMesh::ReferenceCounter::~ReferenceCounter().

libMesh::err<< "ERROR: Seems as if this quadrature rule" << std::endl << " is not implemented for 2D." << std::endl; libmesh_error(); }#endif virtual void init_3D (const ElemType, unsigned int =0)#ifndef DEBUG {}#else { libMesh::err << "ERROR: Seems as if this quadrature rule" << std::endl << " is not implemented for 3D." << std::endl; libmesh_error(); }#endif void tensor_product_quad (const QBase& q1D); void tensor_product_hex (const QBase& q1D); void tensor_product_prism (const QBase& q1D, const QBase& q2D); const unsigned int _dim; const Order _order; ElemType _type; unsigned int _p_level; std::vector<Point> libMesh::QBase::_points [protected, inherited]

Definition at line 332 of file quadrature.h.

Referenced by conical_product_pyramid(), conical_product_tet(), conical_product_tri(), libMesh::QGauss::dunavant_rule(), libMesh::QGauss::dunavant_rule2(), libMesh::QBase::get_points(), libMesh::QGrundmann_Moller::gm_rule(), libMesh::QBase::init_0D(), libMesh::QTrap::init_1D(), libMesh::QSimpson::init_1D(), libMesh::QJacobi::init_1D(), libMesh::QGrid::init_1D(), libMesh::QGauss::init_1D(), libMesh::QClough::init_1D(), libMesh::QTrap::init_2D(), libMesh::QSimpson::init_2D(), libMesh::QMonomial::init_2D(), libMesh::QGrid::init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), libMesh::QMonomial::init_3D(), libMesh::QGrid::init_3D(), libMesh::QGauss::init_3D(), libMesh::QGauss::keast_rule(), libMesh::QMonomial::kim_rule(), libMesh::QBase::n_points(), libMesh::QBase::print_info(), libMesh::QBase::qp(), libMesh::QBase::scale(), libMesh::QMonomial::stroud_rule(), and libMesh::QMonomial::wissmann_rule().

std::vector<Real> libMesh::QBase::_weights [protected, inherited]

The value of the quadrature weights.

Definition at line 337 of file quadrature.h.

Referenced by conical_product_pyramid(), conical_product_tet(), conical_product_tri(), libMesh::QGauss::dunavant_rule(), libMesh::QGauss::dunavant_rule2(), libMesh::QBase::get_weights(), libMesh::QGrundmann_Moller::gm_rule(), libMesh::QBase::init_0D(), libMesh::QTrap::init_1D(), libMesh::QSimpson::init_1D(), libMesh::QJacobi::init_1D(), libMesh::QGrid::init_1D(), libMesh::QGauss::init_1D(), libMesh::QClough::init_1D(), libMesh::QTrap::init_2D(), libMesh::QSimpson::init_2D(), libMesh::QMonomial::init_2D(), libMesh::QGrid::init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), libMesh::QMonomial::init_3D(), libMesh::QGrid::init_3D(), libMesh::QGauss::init_3D(), libMesh::QGauss::keast_rule(), libMesh::QMonomial::kim_rule(), libMesh::QBase::print_info(), libMesh::QBase::scale(), libMesh::QMonomial::stroud_rule(), libMesh::QBase::w(), and libMesh::QMonomial::wissmann_rule().

bool libMesh::QBase::allow_rules_with_negative_weights [inherited]

Flag (default true) controlling the use of quadrature rules with negative weights. Set this to false to ONLY use (potentially) safer but more expensive rules with all positive weights.

Negative weights typically appear in Gaussian quadrature rules over three-dimensional elements. Rules with negative weights can be unsuitable for some problems. For example, it is possible for a rule with negative weights to obtain a negative result when integrating a positive function.

A particular example: if rules with negative weights are not allowed, a request for TET,THIRD (5 points) will return the TET,FIFTH (14 points) rule instead, nearly tripling the computational effort required!

Definition at line 215 of file quadrature.h.

Referenced by libMesh::QMonomial::init_3D(), libMesh::QGrundmann_Moller::init_3D(), and libMesh::QGauss::init_3D().

The documentation for this class was generated from the following files:
Site Created By: libMesh Developers
Last modified: February 05 2013 19:55:35 UTC

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