libMesh::QGrid Class Reference

#include <quadrature_grid.h>

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

List of all members.

Public Member Functions

 QGrid (const unsigned int _dim, const Order _order=INVALID_ORDER)
 ~QGrid ()
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 _type=INVALID_ELEM, unsigned int p_level=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)

Friends

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

Detailed Description

This class creates quadrature points on a uniform grid, Order points on a side.

Definition at line 42 of file quadrature_grid.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::QGrid::QGrid ( const unsigned int  _dim,
const Order  _order = INVALID_ORDER 
) [inline]

Constructor. Declares the order of the quadrature rule.

Definition at line 79 of file quadrature_grid.h.

00080                             : QBase(d,o)
00081 {
00082 }

libMesh::QGrid::~QGrid (  )  [inline]

Destructor.

Definition at line 88 of file quadrature_grid.h.

00089 {
00090 }

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::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(), libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), and libMesh::QConical::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(), init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), libMesh::QMonomial::init_3D(), 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::QGrid::init_1D ( const ElemType  type = INVALID_ELEM,
unsigned int  p_level = 0 
) [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 30 of file quadrature_grid_1D.C.

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

00032 {
00033   //----------------------------------------------------------------------
00034   // 1D quadrature rules
00035 
00036   // We ignore p - the grid rule is just for experimentation
00037 
00038   _points.resize(_order + 1);
00039   _weights.resize(_order + 1);
00040   for (int i = 0; i != _order + 1; ++i)
00041     {
00042       _points[i](0) = 2.0 * (double)i / (double)_order - 1.0;
00043       _weights[i] = 2.0 / (double)(_order + 1);
00044     }
00045   return;
00046 }

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

Initializes the 2D 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. Should not be pure virtual since a derived quadrature rule may only be defined in 1D. If not redefined, gives an error (when DEBUG defined) when called.

Reimplemented from libMesh::QBase.

Definition at line 27 of file quadrature_grid_2D.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMeshEnums::EDGE2, libMesh::err, libMesh::QBase::init(), libMeshEnums::QUAD4, libMeshEnums::QUAD8, libMeshEnums::QUAD9, libMeshEnums::TRI3, and libMeshEnums::TRI6.

00029 {
00030 #if LIBMESH_DIM > 1
00031 
00032   //-----------------------------------------------------------------------
00033   // 2D quadrature rules
00034 
00035   // We ignore p - the grid rule is just for experimentation
00036 
00037   switch (type_in)
00038     {
00039 
00040 
00041       //---------------------------------------------
00042       // Quadrilateral quadrature rules
00043     case QUAD4:
00044     case QUAD8:
00045     case QUAD9:
00046       {
00047         // We compute the 2D quadrature rule as a tensor
00048         // product of the 1D quadrature rule.
00049         QGrid q1D(1,_order);
00050         q1D.init(EDGE2);
00051         tensor_product_quad( q1D );
00052         return;
00053       }
00054 
00055 
00056       //---------------------------------------------
00057       // Triangle quadrature rules
00058     case TRI3:
00059     case TRI6:
00060       {
00061         _points.resize((_order + 1)*(_order + 2)/2);
00062         _weights.resize((_order + 1)*(_order + 2)/2);
00063 
00064         unsigned int pt = 0;
00065         for (int i = 0; i != _order + 1; ++i)
00066           {
00067             for (int j = 0; j != _order + 1 - i; ++j)
00068               {
00069                 _points[pt](0) = (double)i / (double)_order;
00070                 _points[pt](1) = (double)j / (double)_order;
00071                 _weights[pt] = 1.0 / (double)(_order+1) /
00072                   (double)(_order+2);
00073                 pt++;
00074               }
00075           }
00076         return;
00077       }
00078 
00079       //---------------------------------------------
00080       // Unsupported type
00081     default:
00082       {
00083         libMesh::err << "Element type not supported!:" << type_in << std::endl;
00084         libmesh_error();
00085       }
00086     }
00087 
00088   libmesh_error();
00089 
00090   return;
00091 
00092 #endif
00093 }

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

Definition at line 27 of file quadrature_grid_3D.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMeshEnums::EDGE2, libMesh::err, libMeshEnums::HEX20, libMeshEnums::HEX27, libMeshEnums::HEX8, libMesh::QBase::init(), libMeshEnums::PRISM15, libMeshEnums::PRISM18, libMeshEnums::PRISM6, libMeshEnums::PYRAMID5, libMeshEnums::TET10, libMeshEnums::TET4, and libMeshEnums::TRI3.

00029 {
00030 #if LIBMESH_DIM == 3
00031 
00032   //-----------------------------------------------------------------------
00033   // 3D quadrature rules
00034 
00035   // We ignore p - the grid rule is just for experimentation
00036   switch (type_in)
00037     {
00038       //---------------------------------------------
00039       // Hex quadrature rules
00040     case HEX8:
00041     case HEX20:
00042     case HEX27:
00043       {
00044         // We compute the 3D quadrature rule as a tensor
00045         // product of the 1D quadrature rule.
00046         QGrid q1D(1,_order);
00047         q1D.init(EDGE2);
00048 
00049         tensor_product_hex( q1D );
00050 
00051         return;
00052       }
00053 
00054 
00055 
00056       //---------------------------------------------
00057       // Tetrahedral quadrature rules
00058     case TET4:
00059     case TET10:
00060       {
00061         _points.resize((_order+1)*(_order+2)*(_order+3)/6);
00062         _weights.resize((_order+1)*(_order+2)*(_order+3)/6);
00063 
00064         unsigned int pt = 0;
00065         for (int i = 0; i != _order + 1; ++i)
00066           {
00067             for (int j = 0; j != _order + 1 - i; ++j)
00068               {
00069                 for (int k = 0; k != _order + 1 - i - j; ++k)
00070                   {
00071                     _points[pt](0) = (double)i / (double)_order;
00072                     _points[pt](1) = (double)j / (double)_order;
00073                     _points[pt](2) = (double)k / (double)_order;
00074                     _weights[pt] = 1.0 / (double)(_order+1) /
00075                       (double)(_order+2) / (double)(_order+3);
00076                     pt++;
00077                   }
00078               }
00079           }
00080         return;
00081       }
00082 
00083 
00084       // Prism quadrature rules
00085     case PRISM6:
00086     case PRISM15:
00087     case PRISM18:
00088       {
00089         // We compute the 3D quadrature rule as a tensor
00090         // product of the 1D quadrature rule and a 2D
00091         // triangle quadrature rule
00092 
00093         QGrid q1D(1,_order);
00094         QGrid q2D(2,_order);
00095 
00096         // Initialize
00097         q1D.init(EDGE2);
00098         q2D.init(TRI3);
00099 
00100         tensor_product_prism(q1D, q2D);
00101 
00102         return;
00103       }
00104 
00105 
00106 
00107       //---------------------------------------------
00108       // Pyramid
00109     case PYRAMID5:
00110       {
00111         _points.resize((_order+1)*(_order+2)*(_order+3)/6);
00112         _weights.resize((_order+1)*(_order+2)*(_order+3)/6);
00113 
00114         unsigned int pt = 0;
00115         for (int k = 0; k != _order + 1; ++k)
00116           {
00117             for (int i = 0; i != _order + 1 - k; ++i)
00118               {
00119                 for (int j = 0; j != _order + 1 - k; ++j)
00120                   {
00121                     _points[pt](0) = 2.0 * (double)i / (double)_order
00122                       - 1.0 + (double)k / (double)_order;
00123                     _points[pt](1) = 2.0 * (double)j / (double)_order
00124                       - 1.0 + (double)k / (double)_order;
00125                     _points[pt](2) = (double)k / (double)_order;
00126                     _weights[pt] = 1.0 / (double)(_order+1) /
00127                       (double)(_order+2) / (double)(_order+3);
00128                     pt++;
00129                   }
00130               }
00131           }
00132         return;
00133       }
00134 
00135 
00136 
00137       //---------------------------------------------
00138       // Unsupported type
00139     default:
00140       {
00141         libMesh::err << "ERROR: Unsupported type: " << type_in << std::endl;
00142         libmesh_error();
00143       }
00144     }
00145 
00146   libmesh_error();
00147 
00148   return;
00149 
00150 #endif
00151 }

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(), libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), libMesh::QConical::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 libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), and libMesh::QConical::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 libMesh::QConical::conical_product_tet(), and libMesh::QConical::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::QGrid::type (  )  const [inline, virtual]
Returns:
QGRID

Implements libMesh::QBase.

Definition at line 60 of file quadrature_grid.h.

References libMeshEnums::QGRID.

00060 { return QGRID; }

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 libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), and libMesh::QConical::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 libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), libMesh::QConical::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(), init_1D(), libMesh::QGauss::init_1D(), libMesh::QClough::init_1D(), libMesh::QTrap::init_2D(), libMesh::QSimpson::init_2D(), libMesh::QMonomial::init_2D(), init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), libMesh::QMonomial::init_3D(), 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 libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), libMesh::QConical::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(), init_1D(), libMesh::QGauss::init_1D(), libMesh::QClough::init_1D(), libMesh::QTrap::init_2D(), libMesh::QSimpson::init_2D(), libMesh::QMonomial::init_2D(), init_2D(), libMesh::QGauss::init_2D(), libMesh::QClough::init_2D(), libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), libMesh::QMonomial::init_3D(), 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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