Sundance Namespace Reference


Namespaces

namespace  Rivara

Classes

class  ADReal
class  ArrayOfTuples
class  Pair
class  SortedPair
class  EnumTypeField
class  FixedArray
class  FunctorDomain
class  UnboundedDomain
class  PositiveDomain
class  StrictlyPositiveDomain
class  BoundedDomain
class  LowerBoundedDomain
class  NonzeroDomain
class  IntHashSet
class  IntVec
class  Map
class  MultiSet
class  NamedObject
class  Noncopyable
class  ObjectWithInstanceID
class  VerbosityTraits
class  ObjectWithClassVerbosity
class  ParameterControlledObjectWithVerbosity
class  OrderedHandle
class  OrderedPair
class  OrderedTriple
class  OrderedQuartet
class  Point
class  Set
class  PowerFunctor
class  UnaryFunctor
class  VersionString
class  WatchFlag
class  BinaryEvaluator
class  CellDiameterExprEvaluator
class  CellVectorEvaluator
class  ChainRuleEvaluator
class  IndexPair
class  DerivProduct
class  ChainRuleSum
class  ConstantEvaluator
class  CoordExprEvaluator
class  CurveNormEvaluator
class  DerivOfSymbFuncEvaluator
class  DiffOpEvaluator
class  DiscreteFuncElementEvaluator
class  EFDEEvaluator
class  EvalManager
class  Evaluator
class  EvaluatorFactory
class  GenericEvaluatorFactory
class  NonlinearUnaryOpEvaluator
class  NullEvaluator
class  ProductEvaluator
class  StringEvalMediator
class  SubtypeEvaluator
class  SumEvaluator
class  SymbolicFuncElementEvaluator
class  TempStack
class  UnaryEvaluator
class  UnaryMinusEvaluator
class  UserDefOpCommonEvaluator
class  UserDefOpEvaluator
class  AbstractEvalMediator
class  AlgebraSpecifier
class  CommonFuncDataStub
class  Deriv
class  DerivSet
class  DiscreteFuncDataStub
class  DiscreteFunctionStub
class  EquationSet
class  EvalContext
class  EvalContextStub
class  EvalVector
class  EvalVectorArray
class  FunctionIdentifier
class  FunctionSupportResolver
class  LoadableVector
class  MultiIndex
class  MultipleDeriv
class  increasingOrder
class  increasingOrder< MultipleDeriv >
class  QuadratureFamilyStub
class  RegionQuadCombo
class  SpatialDerivSpecifier
class  SymbolicFuncDescriptor
class  TestFuncDataStub
class  TestFunctionStub
class  UnknownFuncDataStub
class  UnknownFunctionStub
class  BinaryExpr
class  ConstantExpr
class  CoordDeriv
class  DerivOfSymbFunc
class  DiffOp
class  DiscreteFuncElement
class  EvaluatableExpr
class  ExplicitFunctionalDerivativeElement
class  ExprBase
class  ExprWithChildren
class  FuncElementBase
class  FuncSetAccumulator
class  FunctionalPolynomial
class  FunctionWithID
class  ListExpr
class  NonlinearUnaryOp
class  ParameterData
class  ProductExpr
class  ScalarExpr
class  SparsitySuperset
class  SpatiallyConstantExpr
class  SumExpr
class  SumOfBCs
class  SumOfIntegrals
class  SymbolicFunc
class  SymbolicFuncElement
class  SymbPreprocessor
class  TestFuncElement
class  UnaryExpr
class  UnaryMinus
class  UnknownFuncElement
class  UnknownParameterElement
class  UserDefFunctorElement
class  UserDefOpElement
class  ZeroExpr
class  ProductTransformation
class  ProductTransformationSequence
class  StdProductTransformations
class  RemoveZeroFromProduct
class  RemoveOneFromProduct
class  RemoveMinusOneFromProduct
class  MultiplyConstants
class  MoveConstantsToLeftOfProduct
class  MoveUnaryMinusOutsideProduct
class  AssociateHungryDiffOpWithOperand
class  KillDiffOpOnConstant
class  BringConstantOutsideDiffOp
class  DistributeSumOfDiffOps
class  ApplySimpleDiffOp
class  RearrangeRightProductWithConstant
class  RearrangeLeftProductWithConstant
class  TakeConstantUnderIntegralSign
class  StdSumTransformations
class  IdentifyPolynomialSum
class  ReorderSum
class  RemoveUnaryMinusFromSum
class  RemoveZeroFromSum
class  SumConstants
class  MoveConstantsToLeftOfSum
class  RearrangeRightSumWithConstant
class  RearrangeLeftSumWithConstant
class  SumIntegrals
class  SumTransformation
class  SumTransformationSequence
class  SymbolicTransformation
class  CellDiameterExpr
class  CellVectorExpr
class  ComplexExpr
class  CoordExpr
class  CurveExpr
class  CurveNormExpr
class  Derivative
class  Expr
class  FunctionalEvaluatorBase
class  Parameter
class  PointwiseUserDefFunctor0
class  PointwiseUserDefFunctor1
class  PointwiseUserDefFunctor2
class  UnknownParameter
class  UserDefFunctor
class  UserDefOp
class  BinaryCellFilter
class  BoundaryCellFilter
class  BoundaryCellPredicate
class  CellCurvePredicate
class  CellFilter
class  CellFilterBase
class  CellIterator
class  CellPredicate
class  CellPredicateBase
class  CellSet
class  CellSetBase
class  CFMeshPair
class  DimensionalCellFilter
class  MeshDomainBase
class  CurveDomain
class  MeshDomainDef
class  ExplicitCellIterator
class  ExplicitCellSet
class  GIDCellPredicate
class  ImplicitCellSet
class  LabelCellPredicate
class  LabeledSubsetCellFilter
class  MaximalCellFilter
class  MaximalCellSet
class  NullCellFilter
class  CellPredicateFunctorBase
class  PositionalCellPredicate
class  PointCellPredicateFunctor
class  CoordinateValueCellPredicateFunctor
class  PointCellPredicate
class  CoordinateValueCellPredicate
class  SideCellFilter
class  SubsetCellFilter
class  SubsetManager
class  BasicSimplicialMesh
class  BasicSimplicialMeshType
class  VertexView
class  HNMesh2D
class  HNMesh3D
class  HNMeshType2D
class  HNMeshType3D
class  PeanoMeshType2D
class  PeanoMeshType3D
class  PeriodicMesh1D
class  PeriodicMeshType1D
class  PeriodicSingleCellMesh1D
class  CellJacobianBatch
class  CellReorderer
class  CellReordererFactoryBase
class  GenericCellReordererFactory
class  CellReordererImplemBase
class  IdentityReordererImplem
class  IdentityReorderer
class  IncrementallyCreatableMesh
class  MaximalCofacetBatch
class  Mesh
class  MeshBase
 Abstract interface to a mesh. More...
class  MeshType
class  MeshTypeBase
class  BamgMeshReader
class  ExodusMeshReader
class  ExodusNetCDFMeshReader
class  HNMesher2D
class  HNMesher3D
class  MeshBuilder
class  MeshReaderBase
class  MeshSource
class  MeshSourceBase
class  OneTriangleMesher
class  OneTetMesher
class  PartitionedLineMesher
class  PartitionedRectangleMesher
class  PeanoMesher2D
class  PeanoMesher3D
class  PeriodicLineMesher
class  TriangleMeshReader
class  ExtrusionMeshTransformation
class  FileIOChacoPartitioner
class  MeshTransformation
class  MeshTransformationBase
class  SerialPartitionerBase
class  CellLIDMappedFieldWrapper
class  DSVWriter
class  DSVWriterFactory
class  ExodusWriter
class  ExodusWriterFactory
class  FieldBase
class  FieldWriter
class  FieldWriterBase
class  FieldWriterFactoryBase
class  FieldWriterFactory
class  MatlabWriter
class  MatlabWriterFactory
class  TriangleWriter
class  TriangleWriterFactory
class  VerboseFieldWriter
class  VTKWriter
class  VTKWriterFactory
class  Assembler
class  AssemblyKernelBase
class  CurveEvalMediator
class  CurveIntegralCalc
class  CurveQuadratureIntegral
class  ElementIntegral
class  FunctionalAssemblyKernel
class  FunctionalEvaluator
class  FunctionalGradientAssemblyKernel
class  GrouperBase
class  IntegralGroup
class  LocalDOFMap
class  LocalMatrixContainer
class  MapBundle
class  MatrixVectorAssemblyKernel
class  MaximalQuadratureIntegral
class  QuadratureEvalMediator
class  QuadratureIntegral
class  QuadratureIntegralBase
class  ReducedIntegral
class  RefIntegral
class  StdFwkEvalMediator
class  SundanceSurf3DCalc
class  TrivialGrouper
class  VectorAssemblyKernel
class  VectorFillingAssemblyKernel
class  Block
class  BlockArray
class  DOFMapBase
 Base interface for implementations of a degree of freedom map. More...
class  DOFMapBuilder
class  HNDoFMapBase
class  HNDoFMapBaseHomogeneous
class  HomogeneousDOFMap
class  InhomogeneousDOFMapHN
class  InhomogeneousEdgeLocalizedDOFMap
class  InhomogeneousNodalDOFMap
class  MapStructure
class  MixedDOFMap
class  MixedDOFMapHN
class  NodalDOFMap
class  NodalDOFMapHN
class  PartialElementDOFMap
class  SpatiallyHomogeneousDOFMapBase
class  SubmaximalNodalDOFMap
class  SundanceGlobal
class  AToCDensitySampler
class  AToCPointLocator
class  CoordinateSystemBase
class  CoordinateSystem
class  CartesianCoordinateSystem
class  MeridionalCylindricalCoordinateSystem
class  RadialSphericalCoordinateSystem
class  CoordinateSystemBuilder
class  CToAInterpolator
class  StepControlParameters
class  StepHookBase
class  OutputControlParameters
class  DoublingStepController
class  Eigensolution
class  EventDetectorBase
class  ThresholdEventDetector
class  ExprComparisonBase
class  DefaultExprComparison
class  ExprFieldWrapper
class  Functional
class  L2Projector
class  LinearEigenproblem
class  LinearProblem
class  LinearSolveDriver
class  NLOp
class  NonlinearProblem
class  LineDomain
class  RectangleDomain
class  LPTestSpec
class  ErrNormCalculatorBase
class  L2NormCalculator
class  ForwardProblemTestBase
class  LPTestBase
class  LP1DTestBase
class  LPRectTestBase
class  LPTestSuite
class  RefinementTransformation
class  StochBlockJacobiSolver
class  TransientStepProblem
class  UniformRefinementPair
class  BasisDOFTopologyBase
class  BasisFamily
class  BasisArray
class  BasisFamilyBase
class  ScalarBasis
class  VectorBasis
class  HDivVectorBasis
class  HCurlVectorBasis
class  BasisReferenceEvaluationBase
class  Bernstein
class  BrickQuadrature
class  Bubble
class  ClosedNewtonCotes
class  ClosedNewtonCotesType
class  CubicHermite
class  DiscreteFunction
class  DiscreteFunctionData
class  DiscreteSpace
class  EdgeLocalizedBasis
class  FeketeBrickQuadrature
class  FeketeQuadQuadrature
class  FeketeQuadrature
class  FeketeQuadratureType
class  FeketeTriangleQuadrature
class  Fourier
class  FuncWithBasis
class  Gauss1D
class  GaussianQuadrature
class  GaussianQuadratureType
class  GaussLobatto1D
class  GaussLobattoQuadrature
class  Lagrange
class  Legendre
class  Nedelec
class  PolygonQuadrature
class  QuadQuadrature
class  QuadratureFamily
class  QuadratureFamilyBase
class  QuadratureType
class  QuadratureTypeBase
class  RaviartThomas
class  ReducedQuadrature
class  SurfQuadrature
class  TensorBasisBase
class  TestFunction
class  TestFunctionData
class  TetQuadrature
class  TrapesoidQuadrature
class  TriangleQuadrature
class  UnknownFunction
class  UnknownFunctionData
class  VectorBasisComponent
class  IterCallbackBase
class  DefaultIterCallback
class  LinearPDEConstrainedObj
class  NonlinearPDEConstrainedObj
class  PDEConstrainedObjBase
class  PointData
class  SloppyPointComparitor
class  PointDataExprFunctor
class  PointDataCellPredicateFunctor

Typedefs

typedef OrderedPair
< MultipleDeriv, MultipleDeriv > 		DerivPair
typedef Sundance::Map
< DerivPair, int > 		ProductRulePerms
typedef OrderedTriple
< OrderedHandle
< CellFilterStub >
, OrderedHandle
< QuadratureFamilyStub >
, WatchFlag > 		RegTriple
typedef std::set< int > ColSetType

Enumerations

enum  AlgebraType { VectorAT, NormalAT, CoordCompAT, ScalarAT }
enum  ComputationType {
  MatrixAndVector, VectorOnly, FunctionalOnly, FunctionalAndGradient,
  Sensitivities
}
enum  DerivType { CoordDT, FunctionalDT, NullDT }
enum  SpatialDerivType { IdentitySDT, PartialSDT, NormalSDT, DivSDT }
enum  DerivSubsetSpecifier { AllNonzeros, RequiredNonzeros, VariableNonzeros, ConstantNonzeros }
enum  DerivState { ZeroDeriv, ConstantDeriv, VectorDeriv }
enum  CellVectorExprType { CellNormalVector, CellTangentSpace }
enum  CellType {
  NullCell, PointCell, LineCell, TriangleCell,
  TetCell, QuadCell, BrickCell, PrismCell
}
 Enumeration of specific 1D, 2D, and 3D cell types. More...
enum  MeshEntityOrder { UFCMeshOrder, ExodusMeshOrder }
enum  IntegrationCellSpecifier { NoTermsNeedCofacets, AllTermsNeedCofacets, SomeTermsNeedCofacets }
enum  ThresholdEventType { AnyAbove, AllAbove, AnyBelow, AllBelow }

Functions

ADReal operator+ (const double &scalar, const ADReal &a)
ADReal operator- (const double &scalar, const ADReal &a)
ADReal operator* (const double &scalar, const ADReal &a)
ADReal operator/ (const double &scalar, const ADReal &a)
ADReal pow (const ADReal &x, const double &y)
 SUNDANCE_AD_FUNCTOR (exp, StdExp) SUNDANCE_AD_FUNCTOR(log
StdLog SUNDANCE_AD_FUNCTOR (sqrt, StdSqrt) SUNDANCE_AD_FUNCTOR(sin
void reportFailure (const MPIComm &comm)
bool checkForFailures (const MPIComm &comm)
Array< Array< int > > partitionInteger (int n)
bool nextNum (Array< int > &digits, const Array< int > &radix)
void weightedPartitions (int n, const Array< int > &w, Array< Array< int > > &parts)
void weightedOrderedPartitions (const IntVec &v, const Array< int > &w, Array< Array< IntVec > > &parts)
void pSet (const IntVec &lambda, const IntVec &nu, int s, Array< Array< IntVec > > &K, Array< Array< IntVec > > &L)
Array< Array< Array< int > > > compositions (int n)
void restrictedCompositions (int n, int len, Array< Array< int > > &rComps)
Array< Array< int > > nonNegCompositions (int n, int J)
Set< Pair< MultiSet< int > > > loadPartitions (int x, int n, const MultiSet< int > &left, const MultiSet< int > &right)
Set< Pair< MultiSet< int > > > binaryPartition (const MultiSet< int > &m)
Set< MultiSet< MultiSet< int > > > multisetPartitions (const MultiSet< int > &m)
Map< int, int > countMap (const MultiSet< int > &m)
Array< Array< int > > indexCombinations (const Array< int > &s)
Array< Array< Array< int > > > binnings (const MultiSet< int > &mu, int n)
Array< Array< Array< int > > > indexArrangements (const MultiSet< int > &mu, const Array< int > &k)
Set< MultiSet< int > > multisetSubsets (const MultiSet< int > &x)
Array< Array< MultiSet< int > > > multisetCompositions (int s, const MultiSet< int > &x)
Array< Array< int > > distinctIndexTuples (int m, int n)
Array< int > bitsOfAnInteger (int x, int n)
int pow2 (int n)
Array< Array< MultiSet< int > > > multisetSubsetNTuples (int n, const MultiSet< int > &x)
template<class T >
std::ostream & operator<< (std::ostream &os, const Pair< T > &p)
template<class T >
std::ostream & operator<< (std::ostream &os, const SortedPair< T > &p)
template<class T >
Array< Array< Array< T > > > indexArrangements (const MultiSet< T > &mu, const Array< int > &k)
template<class T >
Array< Array< Array< T > > > binnings (const MultiSet< T > &mu, int n)
int factorial (const MultiSet< int > &ms)
template<class T >
FixedArray< 2, T > makeFA (const T &a, const T &b)
template<class T >
FixedArray< 3, T > makeFA (const T &a, const T &b, const T &c)
template<class T >
FixedArray< 4, T > makeFA (const T &a, const T &b, const T &c, const T &d)
std::ostream & operator<< (std::ostream &os, const FunctorDomain &f)
IntVec intVec (int a)
IntVec intVec (int a, int b)
IntVec intVec (int a, int b, int c)
IntVec intVec (int a, int b, int c, int d)
IntVec intVec (int a, int b, int c, int d, int e)
template<class A , class B >
std::ostream & operator<< (std::ostream &os, const OrderedPair< A, B > &p)
void writeTable (std::ostream &os, const Tabs &tab, const Array< double > &a, int cols)
void writeTable (std::ostream &os, const Tabs &tab, const Array< int > &a, int cols)
ParameterList mergeParamLists (const ParameterList &pDef, const ParameterList &pIn)
string searchForFile (const std::string &name)
string getPathStr ()
Array< string > parsePathStr ()
Point operator* (const double &a, const Point &p)
Point cross (const Point &x, const Point &y)
 SUNDANCE_UNARY_FUNCTOR (reciprocal, StdReciprocal,"reciprocal function", NonzeroDomain(), 1.0/x[i],-f[i]*f[i],-2.0 *df[i]/x[i]) SUNDANCE_UNARY_FUNCTOR(fabs
absolute UnboundedDomain ()
template<typename A , typename B >
bool typeLessThan (const A *a, const B *b)
int mapExSideToMissingVertex (int dim, int exFaceID)
Array< int > exSideVertPos (int dim, int sideIndex)
Array< int > ufcSideVertPos (int dim, int f)
Array< int > ufcSide (int f, const Array< int > &verts)
Array< int > exSide (int f, const Array< int > &verts)
void vertexSort (Array< int > &verts, int *key)
void getKeyedPerm (int key, Array< int > &digits)
int iPow (int base, int n)
int exVertPosToUFCVertPos (int meshDim, int permKey, int exVertPos)
int exFacetIndexToUFCFacetIndex (int meshDim, int permKey, int exFacetID)
int ufcFacetIndexToExFacetIndex (int meshDim, int ufcFacetIndex)
template<class T >
void insertionSort (Teuchos::Array< T > &A)
MultipleDeriv makeDeriv (const Expr &a)
MultipleDeriv makeDeriv (const Expr &a, const Expr &b)
MultipleDeriv makeDeriv (const Expr &a, const Expr &b, const Expr &c)
AlgebraSpecifier scalarAlgebraSpec ()
AlgebraSpecifier normalAlgebraSpec ()
AlgebraSpecifier coordAlgebraSpec (int dir)
std::ostream & operator<< (std::ostream &os, const ComputationType &ct)
Deriv coordDeriv (int d)
Deriv coordDeriv (const MultiIndex &mi)
Deriv funcDeriv (const SymbolicFuncElement *symbFunc)
Deriv funcDeriv (const SymbolicFuncElement *symbFunc, const MultiIndex &mi)
Deriv funcDeriv (const SymbolicFunc *symbFunc)
Deriv funcDeriv (const SymbolicFunc *symbFunc, const MultiIndex &mi)
Deriv normalDeriv (const SymbolicFuncElement *symbFunc)
Deriv divergenceDeriv (const SymbolicFunc *symbFunc)
FunctionIdentifier makeFuncID (int tensorOrder)
RCP< const CommonFuncDataStub > getSharedFunctionData (const FuncElementBase *f)
Set< MultipleDeriv > applyTx (const Set< MultipleDeriv > &S, const MultiIndex &x)
 Tranform the input set S as follows: for each multiple derivative in S, apply the multiindex x to each of its component functional derivatives in turn. Note that the multiindex may have negative indices. Results with negative multiindices are ignored.
Set< MultipleDeriv > Xx (const MultiIndex &x)
Set< MultipleDeriv > applyZx (const Set< MultipleDeriv > &W, const MultiIndex &x)
 Filter the input set W, allowing only coordinate derivatives in the direction x and functional derivatives whose associated functions have nonzero evaluation points. This function is used in the spatial/functional chain rule to identify those terms resulting from differentiation wrt x or functional derivatives.
int factorial (const MultipleDeriv &ms)
MultipleDeriv makeMultiDeriv (const Deriv &d)
bool hasParameter (const MultipleDeriv &d)
Array< Array< std::pair< int,
Array< MultipleDeriv > > > > 		chainRuleDerivsOfArgs (int nArgs, const MultiSet< int > &bSet, const MultipleDeriv &c)
Array< Array< Array< int > > > bStructure (const Array< int > &b, const Array< Array< int > > &tmp)
Array< OrderedPair< Array
< MultiSet< int > >, Array
< MultipleDeriv > > > 		chainRuleTerms (int s, const MultiSet< int > &lambda, const MultipleDeriv &nu)
Set< MultipleDeriv > multisetSubsets (const MultipleDeriv &nu)
int chainRuleMultiplicity (const MultipleDeriv &nu, const Array< MultiSet< int > > &K, const Array< MultipleDeriv > &L)
Expr makeZeros (const Expr &v)
Expr CellNormalExpr (int dimension, const std::string &name)
Expr CellTangentExpr (int dimension, const std::string &name)
Expr Complex (const Expr &re, const Expr &im)
Expr List (const Expr &a)
Expr List (const Expr &a, const Expr &b)
Expr List (const Expr &a, const Expr &b, const Expr &c)
Expr List (const Expr &a, const Expr &b, const Expr &c, const Expr &d)
Expr List (const Expr &a, const Expr &b, const Expr &c, const Expr &d, const Expr &e)
Expr List (const Expr &a, const Expr &b, const Expr &c, const Expr &d, const Expr &e, const Expr &f)
Expr List (const Expr &a, const Expr &b, const Expr &c, const Expr &d, const Expr &e, const Expr &f, const Expr &g)
Expr List (const Expr &a, const Expr &b, const Expr &c, const Expr &d, const Expr &e, const Expr &f, const Expr &g, const Expr &h)
Expr pow (const Expr &expr, const double &p)
Expr gradient (int dim)
Expr div (const Expr &f)
Expr cross (const Expr &a, const Expr &b)
Expr curl (const Expr &f)
Expr colonProduct (const Expr &A, const Expr &B)
Expr outerProduct (const Expr &A, const Expr &B)
bool isVector (const Expr &x, int &N)
bool isSquareMatrix (const Expr &x, int &N)
Array< CFMeshPair > resolvePair (const CFMeshPair &a, const CFMeshPair &b)
Array< CFMeshPair > resolveSets (const Array< CFMeshPair > &s)
Array< CFMeshPair > findDisjointFilters (const Array< CellFilter > &filters, const Array< Set< int > > &funcs, const Mesh &mesh)
std::ostream & operator<< (std::ostream &os, const CFMeshPair &c)
std::ostream & operator<< (std::ostream &os, const CellJacobianBatch &J)
std::string toString (const CellType &c)
 Return a std::string representation of the cell type.
int dimension (const CellType &c)
 Return the dimension of the cell type.
int numFacets (const CellType &c, int facetDim)
 Return the number of faces of a given facet dimension for a cell type.
CellType facetType (const CellType &cellType, int facetDim, int facetIndex)
std::ostream & operator<< (std::ostream &os, const CellType &c)
 output stream operator for CellType.
bool cellContainsPoint (const Mesh &mesh, int cellDim, int cellLID, const double *x, Array< int > &facetLID)
double volume (const Mesh &mesh, int cellDim, int cellLID)
double orient2D (const double *A, const double *B, const double *x)
int findEnclosingCell (const Mesh &mesh, int cellDim, int initialGuessLID, const double *x)
Point pullback (const Mesh &mesh, int cellDim, int cellLID, const double *x)
void printCell (const Mesh &mesh, int cellLID)
void maximalNeighbors (const Mesh &mesh, int cellDim, int cellLID, const Array< int > &facetLID, std::list< int > &rtn)
Point cross3 (const Point &a, const Point &b)
double cross2 (const Point &a, const Point &b)
CellSet connectedNodeSet (const CellFilter &f, const Mesh &mesh)
RCP< Array< int > > cellSetToLIDArray (const CellSet &cs)
double evaluateIntegral (const Mesh &mesh, const Expr &expr)
std::ostream & operator<< (std::ostream &os, const IntegrationCellSpecifier &s)
Array< Array< BasisFamily > > testBasisArray (const RCP< FunctionSupportResolver > &fsr)
Array< Array< BasisFamily > > unkBasisArray (const RCP< FunctionSupportResolver > &fsr)
Array< RCP
< BasisDOFTopologyBase > > 		replicate (const RCP< BasisDOFTopologyBase > &model, int n)
Mesh unfoldPeriodicMesh (const Mesh &mesh)
DiscreteSpace unfoldPeriodicDiscreteSpace (const DiscreteSpace &space)
Expr unfoldPeriodicDiscreteFunction (const Expr &f, const string &name)
void handleException (std::exception &e)
bool passFailTest (bool pass)
bool passFailTest (double error, double tol)
bool passFailTest (const std::string &statusMsg, bool status, double error, double tol)
int & testStatus ()
CommandLineProcessor & clp ()
int init (int *argc, char ***argv)
int finalize ()
void setOption (const std::string &optionName, int &value, const std::string &helpMsg)
void setOption (const std::string &optionName, double &value, const std::string &helpMsg)
void setOption (const std::string &optionName, std::string &value, const std::string &helpMsg)
void setOption (const std::string &optionTrueName, const std::string &optionFalseName, bool &value, const std::string &helpMsg)
std::ostream & operator<< (std::ostream &os, const CoordinateSystem &cs)
double L2Norm (const Mesh &mesh, const CellFilter &domain, const Expr &f, const QuadratureFamily &quad, const WatchFlag &watch)
double H1Seminorm (const Mesh &mesh, const CellFilter &filter, const Expr &f, const QuadratureFamily &quad, const WatchFlag &watch)
double H1Norm (const Mesh &mesh, const CellFilter &filter, const Expr &f, const QuadratureFamily &quad, const WatchFlag &watch)
Expr readNodalFields (const MeshSource &mesher, const Mesh &mesh, const VectorType< double > &vecType, int verb)
Expr readSerialGridField (const std::string &gridFile, double ax, double bx, double ay, double by, const VectorType< double > &vecType, const MeshType &meshType, Mesh &mesh)
double readbackTester (const std::string &infile, const MPIComm &comm, int verb)
void invertMap (const Map< int, int > &in, Map< int, int > &out)
void serialPartition (const RCP< SerialPartitionerBase > &part, int numProc, const MeshSource &mesher, const std::string &outfile)
Expr NitschePoissonDirichletBC (int dim, const CellFilter &cells, const QuadratureFamily &quad, const Expr &kappa, const Expr &v, const Expr &u, const Expr &uBC, const double &gamma)
Expr NitscheStokesNoSlipBC (const CellFilter &cells, const QuadratureFamily &quad, const Expr &nu, const Expr &v, const Expr &q, const Expr &u, const Expr &p, const Expr &uBC, const double &gamma1, const double &gamma2)
bool checkErrorNorms (const Mesh &mesh, const CellFilter &filter, const Expr &numSoln, const Expr &exactSoln, const QuadratureFamily &quad, double L2Tol, double H1SemiTol, double H1Tol)
double fitPower (const Array< double > &h, const Array< double > &err)
Array< std::pair< int, int > > vectorDimStructure (const Array< BasisFamily > &basis)
Array< std::pair< int, int > > vectorDimStructure (const BasisFamily &basis)
bool basisRestrictableToBoundary (const BasisFamily &b)
Array< BasisFamily > replicate (const BasisFamily &b, int n)
Array< BasisFamily > replicate (const Array< BasisFamily > &b, int n)
static Time & getLocalValsTimer ()
static Time & dfCtorTimer ()
void updateDiscreteFunction (const Expr &newVals, Expr old)
void addVecToDiscreteFunction (Expr df, const Vector< double > &v)
Expr copyDiscreteFunction (const Expr &u0, const string &name)
void setDiscreteFunctionVector (Expr u, const Vector< double > &v)
Vector< double > getDiscreteFunctionVector (const Expr &u)
Mesh getDiscreteFunctionMesh (const Expr &u)
DiscreteSpace getDiscreteSpace (const Expr &u)
std::string describeFunction (const Expr &f)
void printQuad (std::ostream &os, const Array< Point > &pts, const Array< double > &wgts)

Variables

 StdFabs
absolute value

Typedef Documentation

typedef std::set<int> Sundance::ColSetType

Definition at line 66 of file SundanceAssembler.hpp.

typedef OrderedPair<MultipleDeriv, MultipleDeriv> Sundance::DerivPair

Definition at line 46 of file SundanceMultipleDeriv.hpp.

typedef Sundance::Map<DerivPair, int> Sundance::ProductRulePerms

Definition at line 51 of file SundanceMultipleDeriv.hpp.

typedef OrderedTriple<OrderedHandle<CellFilterStub>, OrderedHandle<QuadratureFamilyStub>, WatchFlag> Sundance::RegTriple

Definition at line 53 of file SundanceRegionQuadCombo.hpp.

Enumeration Type Documentation

enum Sundance::AlgebraType

Enumerator:
VectorAT 
NormalAT 
CoordCompAT 
ScalarAT 

Definition at line 41 of file SundanceAlgebraSpecifier.hpp.

enum Sundance::CellVectorExprType

Enumerator:
CellNormalVector 
CellTangentSpace 

Definition at line 44 of file SundanceCellVectorExpr.hpp.

enum ComputationType [related, inherited]

Specifier of what sort of calculation is to be done with an equation set

Enumerator:
MatrixAndVector 
VectorOnly 
FunctionalOnly 
FunctionalAndGradient 
Sensitivities 

Definition at line 44 of file SundanceComputationType.hpp.

enum Sundance::DerivState

DerivState can be used to classify the known state of each functional derivative at any node in the expression tree. ZeroDeriv means the derivative is structurally zero at that node -- note that derivatives that are nonzero at a root node can be structurally zero at some child node. ConstantDeriv means that the derivative is known to be a constant (in space) at that node. VectorDeriv means that the derivative is non-zero, non-constant, i.e., a vector of values.

Enumerator:
ZeroDeriv 
ConstantDeriv 
VectorDeriv 

Definition at line 63 of file SundanceSparsitySuperset.hpp.

enum Sundance::DerivSubsetSpecifier

Enumerator:
AllNonzeros 
RequiredNonzeros 
VariableNonzeros 
ConstantNonzeros 

Definition at line 66 of file SundanceEvaluatableExpr.hpp.

enum Sundance::DerivType

Enumerator:
CoordDT 
FunctionalDT 
NullDT 

Definition at line 49 of file SundanceDeriv.hpp.

enum Sundance::IntegrationCellSpecifier

Enumerator:
NoTermsNeedCofacets 
AllTermsNeedCofacets 
SomeTermsNeedCofacets 

Definition at line 43 of file SundanceIntegrationCellSpecifier.hpp.

enum Sundance::MeshEntityOrder

Identifier for ordering convention

Enumerator:
UFCMeshOrder 
ExodusMeshOrder 

Definition at line 50 of file SundanceMeshBase.hpp.

enum Sundance::SpatialDerivType

Enumerator:
IdentitySDT 
PartialSDT 
NormalSDT 
DivSDT 

Definition at line 42 of file SundanceSpatialDerivSpecifier.hpp.

enum Sundance::ThresholdEventType

Enumerator:
AnyAbove 
AllAbove 
AnyBelow 
AllBelow 

Definition at line 64 of file SundanceEventDetector.hpp.

Function Documentation

void Sundance::addVecToDiscreteFunction ( Expr  df,
const Vector< double > &  v 
) [related]

Definition at line 207 of file SundanceDiscreteFunction.cpp.

References getDiscreteFunctionVector(), setDiscreteFunctionVector(), and Playa::Vector< Scalar >::update().

Set< MultipleDeriv > Sundance::applyTx ( const Set< MultipleDeriv > &  s,
const MultiIndex &  x 
)

Tranform the input set S as follows: for each multiple derivative in S, apply the multiindex x to each of its component functional derivatives in turn. Note that the multiindex may have negative indices. Results with negative multiindices are ignored.

Definition at line 261 of file SundanceMultipleDeriv.cpp.

References Sundance::Set< Key, Compare >::begin(), Sundance::Deriv::derivWrtMultiIndex(), Sundance::Set< Key, Compare >::end(), Sundance::Deriv::isFunctionalDeriv(), Sundance::MultiIndex::isValid(), Sundance::SpatialDerivSpecifier::mi(), Sundance::Deriv::opOnFunc(), Sundance::Set< Key, Compare >::put(), and Sundance::MultiSet< Key >::put().

Referenced by Sundance::DiffOp::internalDetermineR(), Sundance::DiffOp::internalFindV(), and Sundance::DiffOp::internalFindW().

Set< MultipleDeriv > Sundance::applyZx ( const Set< MultipleDeriv > &  W,
const MultiIndex &  x 
)

Filter the input set W, allowing only coordinate derivatives in the direction x and functional derivatives whose associated functions have nonzero evaluation points. This function is used in the spatial/functional chain rule to identify those terms resulting from differentiation wrt x or functional derivatives.

Definition at line 302 of file SundanceMultipleDeriv.cpp.

References Sundance::Set< Key, Compare >::begin(), Sundance::Set< Key, Compare >::end(), Sundance::MultipleDeriv::order(), Sundance::MultiIndex::order(), and Sundance::Set< Key, Compare >::put().

Referenced by Sundance::DiffOp::internalDetermineR(), Sundance::DiffOp::internalFindV(), and Sundance::DiffOp::internalFindW().

bool Sundance::basisRestrictableToBoundary ( const BasisFamily &  b  )  [related]

Definition at line 229 of file SundanceBasisFamily.cpp.

References Playa::Handle< PointerType >::ptr().

Referenced by Sundance::ElementIntegral::ElementIntegral().

Set< Pair< MultiSet< int > > > Sundance::binaryPartition ( const MultiSet< int > &  m  ) 

Return the size-2 partitions of a multiset. This is used in a recursive algorithm to determine all partitions of a multset.

Definition at line 283 of file SundanceCombinatorialUtils.cpp.

References Sundance::Set< Key, Compare >::begin(), countMap(), Sundance::Set< Key, Compare >::end(), loadPartitions(), Sundance::Set< Key, Compare >::merge(), Sundance::Set< Key, Compare >::put(), and Sundance::Set< Key, Compare >::size().

Referenced by multisetPartitions().

template<class T >
Array<Array<Array<T> > > Sundance::binnings ( const MultiSet< T > &  mu,
int  n 
) [inline]

Return the distinct arrangements of the given multiset into n bins

Definition at line 261 of file SundanceCombinatorialUtils.hpp.

References compositions(), and indexArrangements().

Array<Array<Array<int> > > Sundance::binnings ( const MultiSet< int > &  mu,
int  n 
)

Definition at line 428 of file SundanceCombinatorialUtils.cpp.

References compositions(), and indexArrangements().

Referenced by Sundance::ChainRuleEvaluator::chainRuleBins().

Array< int > Sundance::bitsOfAnInteger ( int  x,
int  n 
)

Compute the n bits of an integer x < 2^n. The bits are ordered least-to-most significant.

Definition at line 583 of file SundanceCombinatorialUtils.cpp.

References pow2().

Referenced by multisetSubsets(), and Sundance::MultipleDeriv::productRulePermutations().

Array<Array<Array<int> > > Sundance::bStructure ( const Array< int > &  b,
const Array< Array< int > > &  tmp 
) [related]

Definition at line 1100 of file SundanceExprWithChildren.cpp.

Referenced by chainRuleDerivsOfArgs().

bool Sundance::cellContainsPoint ( const Mesh &  mesh,
int  cellDim,
int  cellLID,
const double *  x,
Array< int > &  facetLID 
) [related]

Definition at line 44 of file SundanceGeomUtils.cpp.

References Sundance::Mesh::getFacetArray(), Sundance::Mesh::nodePosition(), Sundance::Mesh::nodePositionView(), and orient2D().

Referenced by findEnclosingCell().

Expr Sundance::CellNormalExpr ( int  dimension,
const std::string &  name 
) [related]

Definition at line 49 of file SundanceCellVectorExpr.cpp.

References Teuchos::toString().

Referenced by NitschePoissonDirichletBC(), and NitscheStokesNoSlipBC().

RCP< Array< int > > Sundance::cellSetToLIDArray ( const CellSet &  cs  ) 

Definition at line 110 of file SundanceFieldBase.cpp.

References Sundance::CellSet::begin(), and Sundance::CellSet::end().

Referenced by Sundance::ExodusWriter::findBlocks(), and Sundance::ExodusWriter::findNodeSets().

Expr Sundance::CellTangentExpr ( int  dimension,
const std::string &  name 
) [related]

Definition at line 61 of file SundanceCellVectorExpr.cpp.

References Teuchos::toString().

Array<Array<std::pair<int, Array<MultipleDeriv> > > > Sundance::chainRuleDerivsOfArgs ( int  nArgs,
const MultiSet< int > &  bSet,
const MultipleDeriv &  c 
) [related]

Definition at line 993 of file SundanceExprWithChildren.cpp.

References bStructure(), Sundance::Map< Key, Value, Compare >::containsKey(), indexCombinations(), nonNegCompositions(), Sundance::MultipleDeriv::order(), Sundance::MultiSet< Key >::put(), and Sundance::Map< Key, Value, Compare >::put().

int Sundance::chainRuleMultiplicity ( const MultipleDeriv &  nu,
const Array< MultiSet< int > > &  K,
const Array< MultipleDeriv > &  L 
)

Return the multiplicity of a chain rule term

Definition at line 1204 of file SundanceExprWithChildren.cpp.

References factorial().

Referenced by Sundance::ChainRuleEvaluator::init().

Array<OrderedPair<Array<MultiSet<int> >, Array<MultipleDeriv> > > Sundance::chainRuleTerms ( int  s,
const MultiSet< int > &  lambda,
const MultipleDeriv &  nu 
) [related]

Definition at line 1122 of file SundanceExprWithChildren.cpp.

References distinctIndexTuples(), Sundance::Set< Key, Compare >::elements(), multisetCompositions(), multisetSubsets(), and Sundance::MultipleDeriv::product().

Referenced by Sundance::ChainRuleEvaluator::init().

bool Sundance::checkErrorNorms ( const Mesh &  mesh,
const CellFilter &  filter,
const Expr &  numSoln,
const Expr &  exactSoln,
const QuadratureFamily &  quad,
double  L2Tol,
double  H1SemiTol,
double  H1Tol 
)

This function checks the L2 and H1 norms and the H1 seminorm of an error against a specified tolerance.

Definition at line 53 of file SundanceProblemTesting.cpp.

References H1Norm(), H1Seminorm(), L2Norm(), and Playa::Out::root().

bool Sundance::checkForFailures ( const MPIComm &  comm  ) 

Call this function after exception-free completion of a try/catch block preceding a collective operation. This function will do an AllReduce in conjunction with calls to either this function or its partner, reportFailure(), on the other processors. If a failure has been reported by another processor, the call to checkForFailures() will return true and an exception can be thrown.

Definition at line 18 of file SundanceCollectiveExceptionCheck.cpp.

References Playa::MPIComm::allReduce(), Playa::MPIDataType::intType(), and Playa::MPIOp::sumOp().

Referenced by Sundance::BasicSimplicialMesh::assignIntermediateCellGIDs(), Sundance::PartitionedLineMesher::fillMesh(), Sundance::BasicSimplicialMesh::resolveEdgeOwnership(), and Sundance::BasicSimplicialMesh::synchronizeNeighborLists().

CommandLineProcessor& Sundance::clp (  ) 

Definition at line 92 of file Sundance.cpp.

References Sundance::SundanceGlobal::clp().

Expr Sundance::colonProduct ( const Expr &  A,
const Expr &  B 
) [related]

Definition at line 91 of file SundanceVectorCalculus.cpp.

References isSquareMatrix().

Expr Sundance::Complex ( const Expr &  re,
const Expr &  im 
) [related]

Definition at line 995 of file SundanceExpr.cpp.

References Sundance::Expr::isComplex(), Playa::Handle< PointerType >::ptr(), Sundance::Expr::size(), and Sundance::Expr::totalSize().

Array< Array< Array< int > > > Sundance::compositions ( int  n  ) 

Return compositions of an integer

Definition at line 179 of file SundanceCombinatorialUtils.cpp.

References partitionInteger(), and sort().

Referenced by binnings(), Sundance::ExprWithChildren::internalFindC(), Sundance::ExprWithChildren::internalFindV(), Sundance::ExprWithChildren::internalFindW(), and Sundance::ChainRuleEvaluator::nComps().

CellSet Sundance::connectedNodeSet ( const CellFilter &  f,
const Mesh &  mesh 
)

Definition at line 80 of file SundanceFieldBase.cpp.

References Sundance::CellSet::begin(), Sundance::CellSet::dimension(), Sundance::CellSet::end(), Sundance::CellFilter::getCells(), Sundance::Mesh::getFacetLIDs(), PointCell, and Sundance::Set< Key, Compare >::put().

Referenced by Sundance::ExodusWriter::findNodeSets().

AlgebraSpecifier Sundance::coordAlgebraSpec ( int  dir  )  [related]

AlgebraSpecifier

Definition at line 140 of file SundanceAlgebraSpecifier.cpp.

Referenced by Sundance::FunctionIdentifier::createComponent().

Deriv Sundance::coordDeriv ( const MultiIndex &  mi  )  [related]

Definition at line 322 of file SundanceDeriv.cpp.

References Sundance::MultiIndex::firstOrderDirection().

Deriv Sundance::coordDeriv ( int  d  )  [related]

Definition at line 317 of file SundanceDeriv.cpp.

Referenced by Sundance::DiffOp::internalDetermineR(), Sundance::CoordExpr::internalFindC(), Sundance::DiscreteFuncElement::internalFindV(), Sundance::DiscreteFuncElement::internalFindW(), Sundance::CoordExpr::internalFindW(), and Xx().

Expr Sundance::copyDiscreteFunction ( const Expr &  u0,
const string &  name 
) [related]

Definition at line 214 of file SundanceDiscreteFunction.cpp.

References Playa::Vector< Scalar >::copy(), Sundance::DiscreteFunction::discreteSpace(), Sundance::DiscreteFunctionData::getData(), Sundance::DiscreteFunctionData::getVector(), Sundance::DiscreteFunction::getVector(), Playa::Handle< PointerType >::ptr(), Sundance::Expr::size(), and Teuchos::toString().

Referenced by Sundance::DoublingStepController::run().

Map< int, int > Sundance::countMap ( const MultiSet< int > &  m  ) 

Given a multiset, create a mapping from entry to number of repetitions in the multisets.

Definition at line 387 of file SundanceCombinatorialUtils.cpp.

References Sundance::Map< Key, Value, Compare >::containsKey(), and Sundance::Map< Key, Value, Compare >::put().

Referenced by binaryPartition().

Expr Sundance::cross ( const Expr &  a,
const Expr &  b 
) [related]

Definition at line 61 of file SundanceVectorCalculus.cpp.

References cross(), List(), and Sundance::Expr::size().

Point Sundance::cross ( const Point &  x,
const Point &  y 
) [inline]

Definition at line 271 of file SundancePoint.hpp.

Referenced by cross(), curl(), Sundance::GaussLobattoQuadrature::getAdaptedQuadWeights_surf(), Sundance::BasicSimplicialMesh::getCellDiameters(), Sundance::CurveIntegralCalc::getCurveQuadPoints_line(), Sundance::HNMesh3D::getJacobians(), Sundance::BasicSimplicialMesh::getJacobians(), Sundance::CurveIntegralCalc::getSurfQuadPoints(), and Sundance::MeshBase::outwardNormals().

double Sundance::cross2 ( const Point &  a,
const Point &  b 
) [inline]

Definition at line 266 of file SundanceRivaraElement.cpp.

Referenced by Sundance::Rivara::Element::volume().

Point Sundance::cross3 ( const Point &  a,
const Point &  b 
) [inline]

Definition at line 260 of file SundanceRivaraElement.cpp.

Referenced by Sundance::Rivara::Element::volume().

Expr Sundance::curl ( const Expr &  f  )  [related]

Definition at line 84 of file SundanceVectorCalculus.cpp.

References cross(), gradient(), and Sundance::Expr::size().

std::string Sundance::describeFunction ( const Expr &  f  ) 

Definition at line 44 of file SundanceFuncWithBasis.cpp.

References Sundance::FunctionWithID::fid(), Sundance::FuncElementBase::name(), Playa::Handle< PointerType >::ptr(), Sundance::Expr::size(), and Sundance::FunctionIdentifier::toString().

static Time& Sundance::dfCtorTimer (  )  [static]

Definition at line 58 of file SundanceDiscreteFunction.cpp.

Referenced by Sundance::DiscreteFunction::DiscreteFunction().

Array< Array< int > > Sundance::distinctIndexTuples ( int  m,
int  n 
)

Generate the (n-choose-m) distinct index combinations for choosing m entries from an array of n elements.

Definition at line 550 of file SundanceCombinatorialUtils.cpp.

Referenced by chainRuleTerms().

Expr Sundance::div ( const Expr &  f  )  [related]

Definition at line 49 of file SundanceVectorCalculus.cpp.

References Sundance::Expr::size().

Deriv Sundance::divergenceDeriv ( const SymbolicFunc *  symbFunc  ) 

Definition at line 357 of file SundanceDeriv.cpp.

References DivSDT.

double Sundance::evaluateIntegral ( const Mesh &  mesh,
const Expr &  expr 
)

Definition at line 52 of file SundanceFunctionalEvaluator.cpp.

References Sundance::FunctionalEvaluator::evaluate().

Referenced by Sundance::ForwardProblemTestBase::cellSize(), H1Norm(), L2Norm(), main(), Sundance::LinearEigenproblem::makeEigenfunctions(), and readbackTester().

int Sundance::exFacetIndexToUFCFacetIndex ( int  meshDim,
int  permKey,
int  exFacetID 
)

Definition at line 164 of file SundanceVertexSort.cpp.

References exVertPosToUFCVertPos(), and mapExSideToMissingVertex().

Referenced by Sundance::ExodusMeshReader::fillMesh().

Array< int > Sundance::exSide ( int  f,
const Array< int > &  verts 
)

Definition at line 96 of file SundanceVertexSort.cpp.

References exSideVertPos().

Array< int > Sundance::exSideVertPos ( int  dim,
int  f 
)

Definition at line 34 of file SundanceVertexSort.cpp.

Referenced by exSide().

int Sundance::exVertPosToUFCVertPos ( int  meshDim,
int  permKey,
int  exVertPos 
)

Definition at line 150 of file SundanceVertexSort.cpp.

References getKeyedPerm(), and Playa::Out::os().

Referenced by exFacetIndexToUFCFacetIndex().

int Sundance::factorial ( const MultipleDeriv &  ms  ) 

Definition at line 340 of file SundanceMultipleDeriv.cpp.

References Sundance::Map< Key, Value, Compare >::containsKey(), and Sundance::Map< Key, Value, Compare >::put().

int Sundance::factorial ( const MultiSet< int > &  ms  )  [inline]

Definition at line 279 of file SundanceCombinatorialUtils.hpp.

References Sundance::Map< Key, Value, Compare >::containsKey(), and Sundance::Map< Key, Value, Compare >::put().

Referenced by chainRuleMultiplicity().

int Sundance::finalize (  ) 

Definition at line 100 of file Sundance.cpp.

References Sundance::SundanceGlobal::finalize().

Referenced by main().

Array< CFMeshPair > Sundance::findDisjointFilters ( const Array< CellFilter > &  filters,
const Array< Set< int > > &  funcs,
const Mesh &  mesh 
)

Definition at line 172 of file SundanceCFMeshPair.cpp.

References csPartitionTimer(), and resolveSets().

Referenced by Sundance::DOFMapBuilder::funcDomains().

int Sundance::findEnclosingCell ( const Mesh &  mesh,
int  cellDim,
int  initialGuessLID,
const double *  x 
) [related]

Definition at line 133 of file SundanceGeomUtils.cpp.

References cellContainsPoint(), Sundance::Set< Key, Compare >::contains(), maximalNeighbors(), and Sundance::Set< Key, Compare >::put().

double Sundance::fitPower ( const Array< double > &  h,
const Array< double > &  err 
)

Compute the exponent $p$ that best fits the measured errors to a power law $\epsilon=A h^p$.

Definition at line 94 of file SundanceProblemTesting.cpp.

References pow().

Referenced by Sundance::ForwardProblemTestBase::runTestSequence().

Deriv Sundance::funcDeriv ( const SymbolicFunc *  symbFunc,
const MultiIndex &  mi 
) [related]

Definition at line 345 of file SundanceDeriv.cpp.

Deriv Sundance::funcDeriv ( const SymbolicFunc *  symbFunc  )  [related]

Definition at line 339 of file SundanceDeriv.cpp.

Deriv Sundance::funcDeriv ( const SymbolicFuncElement *  symbFunc,
const MultiIndex &  mi 
) [related]

Definition at line 333 of file SundanceDeriv.cpp.

Deriv Sundance::funcDeriv ( const SymbolicFuncElement *  symbFunc  )  [related]

Definition at line 328 of file SundanceDeriv.cpp.

Referenced by Sundance::FunctionalPolynomial::FunctionalPolynomial(), Sundance::UnknownParameterElement::internalFindC(), Sundance::SymbolicFuncElement::internalFindC(), Sundance::UnknownParameterElement::internalFindW(), Sundance::SymbolicFuncElement::internalFindW(), and makeDeriv().

Mesh Sundance::getDiscreteFunctionMesh ( const Expr &  u  )  [related]

Definition at line 324 of file SundanceDiscreteFunction.cpp.

References Sundance::DiscreteFunctionData::getData(), Sundance::DiscreteFunctionData::mesh(), Sundance::DiscreteFunction::mesh(), Playa::Handle< PointerType >::ptr(), and Sundance::Expr::size().

Referenced by Sundance::DoublingStepController::write().

Vector<double> Sundance::getDiscreteFunctionVector ( const Expr &  u  )  [related]

Definition at line 289 of file SundanceDiscreteFunction.cpp.

References Sundance::DiscreteFunctionData::getData(), Sundance::DiscreteFunctionData::getVector(), Sundance::DiscreteFunction::getVector(), Playa::Handle< PointerType >::ptr(), and Sundance::Expr::size().

Referenced by addVecToDiscreteFunction(), Sundance::ThresholdEventDetector::checkForEvent(), Sundance::DefaultExprComparison::diff(), Sundance::PDEConstrainedObjBase::eval(), Sundance::PDEConstrainedObjBase::evalGrad(), Sundance::PDEConstrainedObjBase::getInit(), Sundance::NLOp::getInitialGuess(), Sundance::DoublingStepController::run(), Sundance::NLOp::setInitialGuess(), and updateDiscreteFunction().

DiscreteSpace Sundance::getDiscreteSpace ( const Expr &  u  )  [related]

Definition at line 354 of file SundanceDiscreteFunction.cpp.

References Sundance::DiscreteFunctionData::discreteSpace(), Sundance::DiscreteFunction::discreteSpace(), Sundance::DiscreteFunctionData::getData(), Playa::Handle< PointerType >::ptr(), and Sundance::Expr::size().

void Sundance::getKeyedPerm ( int  key,
Array< int > &  digits 
)

Return the permutation that produces the specified key

Definition at line 129 of file SundanceVertexSort.cpp.

References iPow().

Referenced by exVertPosToUFCVertPos().

static Time& Sundance::getLocalValsTimer (  )  [static]

Definition at line 52 of file SundanceDiscreteFunction.cpp.

Referenced by Sundance::DiscreteFunction::getLocalValues().

std::string Sundance::getPathStr (  ) 

Definition at line 61 of file SundancePathUtils.cpp.

Referenced by parsePathStr().

RCP< const CommonFuncDataStub > Sundance::getSharedFunctionData ( const FuncElementBase *  f  ) 

Definition at line 579 of file SundanceFunctionSupportResolver.cpp.

References Sundance::SymbolicFuncElement::commonData().

Referenced by Sundance::FunctionSupportResolver::FunctionSupportResolver().

Expr Sundance::gradient ( int  dim  )  [related]

Definition at line 39 of file SundanceVectorCalculus.cpp.

Referenced by curl(), Sundance::Lagrange::evalOnquad(), Sundance::Lagrange::evalOnTriangle(), Sundance::EdgeLocalizedBasis::evalOnTriangle(), Sundance::Bubble::evalOnTriangle(), H1Norm(), H1Seminorm(), NitschePoissonDirichletBC(), NitscheStokesNoSlipBC(), Coupled1DTest::prob(), Helmholtz1DTest::prob(), Poisson1DTest::prob(), and SimplePoisson1DTest::prob().

double Sundance::H1Norm ( const Mesh &  mesh,
const CellFilter &  filter,
const Expr &  f,
const QuadratureFamily &  quad,
const WatchFlag &  watch 
) [related]

Definition at line 188 of file SundanceFunctional.cpp.

References evaluateIntegral(), gradient(), and Sundance::Mesh::spatialDim().

Referenced by checkErrorNorms().

double Sundance::H1Seminorm ( const Mesh &  mesh,
const CellFilter &  filter,
const Expr &  f,
const QuadratureFamily &  quad,
const WatchFlag &  watch 
) [related]

Definition at line 177 of file SundanceFunctional.cpp.

References gradient(), L2Norm(), and Sundance::Mesh::spatialDim().

Referenced by checkErrorNorms().

void Sundance::handleException ( std::exception &  e  ) 

Definition at line 73 of file Sundance.cpp.

References Sundance::SundanceGlobal::handleException().

Referenced by main().

bool Sundance::hasParameter ( const MultipleDeriv &  d  ) 

Definition at line 368 of file SundanceMultipleDeriv.cpp.

template<class T >
Array<Array<Array<T> > > Sundance::indexArrangements ( const MultiSet< T > &  mu,
const Array< int > &  k 
) [inline]

Definition at line 220 of file SundanceCombinatorialUtils.hpp.

Array<Array<Array<int> > > Sundance::indexArrangements ( const MultiSet< int > &  mu,
const Array< int > &  k 
)

Definition at line 447 of file SundanceCombinatorialUtils.cpp.

Referenced by binnings().

Array< Array< int > > Sundance::indexCombinations ( const Array< int > &  s  ) 

For a given integer vector of length N, find all combinations of integers (i_1, 1_2, ... i_N) such that $0 \le i_j < s_j$. For example, if $ s = (2,3) $, return 

 { {0,0}, {0,1}, {0,2}, {1,0}, {1,1}, {1,2} }

Definition at line 399 of file SundanceCombinatorialUtils.cpp.

Referenced by chainRuleDerivsOfArgs().

int Sundance::init ( int *  argc,
char ***  argv 
)

Definition at line 96 of file Sundance.cpp.

References Sundance::SundanceGlobal::init().

Referenced by main(), Sundance::NonlinearUnaryOpEvaluator::NonlinearUnaryOpEvaluator(), and Sundance::UserDefOpEvaluator::UserDefOpEvaluator().

template<class T >
void Sundance::insertionSort ( Teuchos::Array< T > &  A  )  [inline]

Definition at line 19 of file SundanceVertexSort.hpp.

Referenced by vertexSort().

IntVec Sundance::intVec ( int  a,
int  b,
int  c,
int  d,
int  e 
) [inline]

Definition at line 148 of file SundanceIntVec.hpp.

IntVec Sundance::intVec ( int  a,
int  b,
int  c,
int  d 
) [inline]

Definition at line 141 of file SundanceIntVec.hpp.

IntVec Sundance::intVec ( int  a,
int  b,
int  c 
) [inline]

Definition at line 134 of file SundanceIntVec.hpp.

IntVec Sundance::intVec ( int  a,
int  b 
) [inline]

Definition at line 127 of file SundanceIntVec.hpp.

IntVec Sundance::intVec ( int  a  )  [inline]

Definition at line 120 of file SundanceIntVec.hpp.

void Sundance::invertMap ( const Map< int, int > &  in,
Map< int, int > &  out 
)

Definition at line 215 of file SundanceMeshIOUtils.cpp.

References Sundance::Map< Key, Value, Compare >::put().

Referenced by serialPartition().

int Sundance::iPow ( int  base,
int  n 
)

Compute base^N

Definition at line 142 of file SundanceVertexSort.cpp.

Referenced by getKeyedPerm().

bool Sundance::isSquareMatrix ( const Expr &  x,
int &  N 
) [related]

Definition at line 153 of file SundanceVectorCalculus.cpp.

References isVector(), Sundance::Expr::size(), and Sundance::Expr::totalSize().

Referenced by colonProduct().

bool Sundance::isVector ( const Expr &  x,
int &  N 
) [related]

Definition at line 138 of file SundanceVectorCalculus.cpp.

References Sundance::Expr::size(), and Sundance::Expr::totalSize().

Referenced by isSquareMatrix(), and outerProduct().

double Sundance::L2Norm ( const Mesh &  mesh,
const CellFilter &  domain,
const Expr &  f,
const QuadratureFamily &  quad,
const WatchFlag &  watch 
) [related]

Definition at line 167 of file SundanceFunctional.cpp.

References evaluateIntegral().

Referenced by checkErrorNorms(), Sundance::L2NormCalculator::computeNorms(), and H1Seminorm().

Expr Sundance::List ( const Expr &  a,
const Expr &  b,
const Expr &  c,
const Expr &  d,
const Expr &  e,
const Expr &  f,
const Expr &  g,
const Expr &  h 
) [related]

Definition at line 1083 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a,
const Expr &  b,
const Expr &  c,
const Expr &  d,
const Expr &  e,
const Expr &  f,
const Expr &  g 
) [related]

Definition at line 1076 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a,
const Expr &  b,
const Expr &  c,
const Expr &  d,
const Expr &  e,
const Expr &  f 
) [related]

Definition at line 1070 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a,
const Expr &  b,
const Expr &  c,
const Expr &  d,
const Expr &  e 
) [related]

Definition at line 1064 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a,
const Expr &  b,
const Expr &  c,
const Expr &  d 
) [related]

Definition at line 1058 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a,
const Expr &  b,
const Expr &  c 
) [related]

Definition at line 1053 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a,
const Expr &  b 
) [related]

Definition at line 1048 of file SundanceExpr.cpp.

Expr Sundance::List ( const Expr &  a  )  [related]

Definition at line 1043 of file SundanceExpr.cpp.

Referenced by cross(), Coupled1DTest::exactSoln(), Sundance::EquationSet::init(), Sundance::PointData::init(), NitschePoisson2DTest::prob(), and Coupled1DTest::prob().

Set< Pair< MultiSet< int > > > Sundance::loadPartitions ( int  x,
int  n,
const MultiSet< int > &  left,
const MultiSet< int > &  right 
)

Form all pairs of multisets that can be generated from an initial pair by adding n copies of entry x. This is used in the partitioning of multisets.

Definition at line 260 of file SundanceCombinatorialUtils.cpp.

References Sundance::Set< Key, Compare >::put(), and Sundance::MultiSet< Key >::put().

Referenced by binaryPartition().

MultipleDeriv Sundance::makeDeriv ( const Expr &  a,
const Expr &  b,
const Expr &  c 
)

Definition at line 585 of file SundanceChainRuleEvaluator.cpp.

References funcDeriv(), Playa::Handle< PointerType >::ptr(), and Sundance::MultiSet< Key >::put().

MultipleDeriv Sundance::makeDeriv ( const Expr &  a,
const Expr &  b 
)

Definition at line 563 of file SundanceChainRuleEvaluator.cpp.

References funcDeriv(), Playa::Handle< PointerType >::ptr(), and Sundance::MultiSet< Key >::put().

MultipleDeriv Sundance::makeDeriv ( const Expr &  a  ) 

Definition at line 549 of file SundanceChainRuleEvaluator.cpp.

References funcDeriv(), Playa::Handle< PointerType >::ptr(), and Sundance::MultiSet< Key >::put().

template<class T >
FixedArray<4,T> Sundance::makeFA ( const T &  a,
const T &  b,
const T &  c,
const T &  d 
) [inline]

FixedArray

Definition at line 119 of file SundanceFixedArray.hpp.

template<class T >
FixedArray<3,T> Sundance::makeFA ( const T &  a,
const T &  b,
const T &  c 
) [inline]

FixedArray

Definition at line 107 of file SundanceFixedArray.hpp.

template<class T >
FixedArray<2,T> Sundance::makeFA ( const T &  a,
const T &  b 
) [inline]

FixedArray

Definition at line 97 of file SundanceFixedArray.hpp.

FunctionIdentifier Sundance::makeFuncID ( int  tensorOrder  )  [related]

Definition at line 108 of file SundanceFunctionIdentifier.cpp.

References scalarAlgebraSpec().

Referenced by Sundance::DiscreteFunctionStub::initTensor(), Sundance::DiscreteFunctionStub::initTensorSpectral(), Sundance::TestFunctionStub::TestFunctionStub(), and Sundance::UnknownFunctionStub::UnknownFunctionStub().

MultipleDeriv Sundance::makeMultiDeriv ( const Deriv &  d  ) 

Definition at line 361 of file SundanceMultipleDeriv.cpp.

References Sundance::MultiSet< Key >::put().

Referenced by Sundance::UnknownParameterElement::internalFindC(), Sundance::UnknownParameterElement::internalFindW(), and Xx().

Expr Sundance::makeZeros ( const Expr &  e  ) 

Definition at line 356 of file SundanceSymbPreprocessor.cpp.

References Sundance::Expr::size().

int Sundance::mapExSideToMissingVertex ( int  dim,
int  exFaceID 
)

Definition at line 16 of file SundanceVertexSort.cpp.

Referenced by exFacetIndexToUFCFacetIndex().

void Sundance::maximalNeighbors ( const Mesh &  mesh,
int  cellDim,
int  cellLID,
const Array< int > &  facetLID,
std::list< int > &  rtn 
) [related]

Definition at line 212 of file SundanceGeomUtils.cpp.

References Sundance::Mesh::getCofacets().

Referenced by findEnclosingCell().

Teuchos::ParameterList Sundance::mergeParamLists ( const ParameterList &  pDef,
const ParameterList &  pIn 
)

Definition at line 40 of file SundanceParamUtils.cpp.

Referenced by Sundance::ParameterControlledObjectWithVerbosity< EquationSet >::mergeParams().

Array< Array< MultiSet< int > > > Sundance::multisetCompositions ( int  s,
const MultiSet< int > &  x 
)

Return the s-term compositions of a multiset. These are the permutations of the s-term partitions.

Definition at line 524 of file SundanceCombinatorialUtils.cpp.

References Sundance::Set< Key, Compare >::begin(), Sundance::Set< Key, Compare >::end(), multisetPartitions(), and sort().

Referenced by chainRuleTerms().

Set< MultiSet< MultiSet< int > > > Sundance::multisetPartitions ( const MultiSet< int > &  m  ) 

Return the partitions of a multiset. The partitions are sets of subsets such that the union of the members equals the original multiset.

Definition at line 333 of file SundanceCombinatorialUtils.cpp.

References Sundance::Set< Key, Compare >::begin(), binaryPartition(), Sundance::Set< Key, Compare >::end(), Sundance::MultiSet< Key >::put(), and Sundance::Set< Key, Compare >::put().

Referenced by multisetCompositions().

Array<Array<MultiSet<int> > > Sundance::multisetSubsetNTuples ( int  n,
const MultiSet< int > &  x 
)

Return all N-tuples of subsets of a multisets such that the union of tuple entries is a subset of the original multiset. For example, if the input multiset is {a,b,b}, the subsets are

Precondition:
{a}, {b}, {a,b}, {a, b, b}, {b, b}.

The 2-tuples are all pairs drawn from that collection. Of these, only

({a}, {b}) ({a}, {b, b})

satisfy the requirement that the union of tuple entries is a subset of {a,b,b}.

Set< MultipleDeriv > Sundance::multisetSubsets ( const MultipleDeriv &  x  ) 

Return all subsets of a multiset.

Definition at line 1164 of file SundanceExprWithChildren.cpp.

References bitsOfAnInteger(), Sundance::MultiSet< Key >::elements(), pow2(), Sundance::Set< Key, Compare >::put(), and Sundance::MultiSet< Key >::put().

Set< MultiSet< int > > Sundance::multisetSubsets ( const MultiSet< int > &  x  ) 

Return all subsets of a multiset.

Definition at line 485 of file SundanceCombinatorialUtils.cpp.

References bitsOfAnInteger(), Sundance::MultiSet< Key >::elements(), pow2(), Sundance::Set< Key, Compare >::put(), and Sundance::MultiSet< Key >::put().

Referenced by chainRuleTerms().

bool Sundance::nextNum ( Array< int > &  digits,
const Array< int > &  radix 
)

Get the next mixed-radix number

Definition at line 49 of file SundanceCombinatorialUtils.cpp.

Referenced by Sundance::IntVec::getPartitions(), weightedOrderedPartitions(), and weightedPartitions().

Expr Sundance::NitschePoissonDirichletBC ( int  dim,
const CellFilter &  cells,
const QuadratureFamily &  quad,
const Expr &  kappa,
const Expr &  v,
const Expr &  u,
const Expr &  uBC,
const double &  gamma 
)

This function forms the expressions that apply the Dirichlet BC $u=u_{BC}$ via Nitsche's method for the Poisson operator.

Definition at line 42 of file SundanceNitscheBC.cpp.

References CellNormalExpr(), and gradient().

Referenced by NitschePoisson2DTest::prob().

Expr Sundance::NitscheStokesNoSlipBC ( const CellFilter &  cells,
const QuadratureFamily &  quad,
const Expr &  nu,
const Expr &  v,
const Expr &  q,
const Expr &  u,
const Expr &  p,
const Expr &  uBC,
const double &  gamma1,
const double &  gamma2 
)

This function forms the expressions that apply the Dirichlet BC ${\bf u}={\bf u}_{BC}$ via Nitsche's method for the Stokes operator.

Parameters:
cells the surface on which the BC is to be applied
quad the quadrature rule to be used
nu the viscosity, which may be a function of velocity
v velocity test function
q pressure test function
u velocity unknown function
p pressure unknown function
uBC specified velocity at surface

Definition at line 59 of file SundanceNitscheBC.cpp.

References CellNormalExpr(), gradient(), and Sundance::Expr::size().

Array< Array< int > > Sundance::nonNegCompositions ( int  n,
int  J 
)

Return the non-negative compositions of an integer into J terms

Definition at line 215 of file SundanceCombinatorialUtils.cpp.

References partitionInteger(), and sort().

Referenced by chainRuleDerivsOfArgs(), and restrictedCompositions().

AlgebraSpecifier Sundance::normalAlgebraSpec (  )  [related]

AlgebraSpecifier

Definition at line 134 of file SundanceAlgebraSpecifier.cpp.

References NormalAT.

Referenced by Sundance::FunctionIdentifier::createNormal().

Deriv Sundance::normalDeriv ( const SymbolicFuncElement *  symbFunc  )  [related]

Definition at line 352 of file SundanceDeriv.cpp.

References NormalSDT.

Point Sundance::operator* ( const double &  a,
const Point &  p 
) [inline]

Definition at line 266 of file SundancePoint.hpp.

ADReal Sundance::operator* ( const double &  scalar,
const ADReal &  a 
) [related]

Definition at line 171 of file SundanceADReal.cpp.

ADReal Sundance::operator+ ( const double &  scalar,
const ADReal &  a 
) [related]

Definition at line 161 of file SundanceADReal.cpp.

ADReal Sundance::operator- ( const double &  scalar,
const ADReal &  a 
) [related]

Definition at line 166 of file SundanceADReal.cpp.

ADReal Sundance::operator/ ( const double &  scalar,
const ADReal &  a 
) [related]

Definition at line 176 of file SundanceADReal.cpp.

References Sundance::ADReal::reciprocate().

std::ostream& Sundance::operator<< ( std::ostream &  os,
const CoordinateSystem &  cs 
) [inline]

Definition at line 168 of file SundanceCoordinateSystem.hpp.

References Playa::Handle< PointerType >::ptr().

std::ostream& Sundance::operator<< ( std::ostream &  os,
const IntegrationCellSpecifier &  s 
) [inline]

Definition at line 46 of file SundanceIntegrationCellSpecifier.hpp.

References AllTermsNeedCofacets, and NoTermsNeedCofacets.

std::ostream& Sundance::operator<< ( std::ostream &  os,
const CellJacobianBatch &  J 
) [inline]

Definition at line 185 of file SundanceCellJacobianBatch.hpp.

References Sundance::CellJacobianBatch::print().

std::ostream& Sundance::operator<< ( std::ostream &  os,
const CFMeshPair &  c 
) [inline]

Definition at line 101 of file SundanceCFMeshPair.hpp.

References Sundance::CFMeshPair::filter(), Sundance::CellFilter::getCells(), and Sundance::CFMeshPair::mesh().

std::ostream& Sundance::operator<< ( std::ostream &  os,
const ComputationType &  ct 
) [inline]

Definition at line 49 of file SundanceComputationType.hpp.

References FunctionalAndGradient, FunctionalOnly, MatrixAndVector, Sensitivities, and VectorOnly.

template<class A , class B >
std::ostream& Sundance::operator<< ( std::ostream &  os,
const OrderedPair< A, B > &  p 
) [inline]

Definition at line 117 of file SundanceOrderedTuple.hpp.

std::ostream& Sundance::operator<< ( std::ostream &  os,
const FunctorDomain &  f 
) [inline]

Definition at line 159 of file SundanceFunctorDomain.hpp.

References Sundance::FunctorDomain::description().

template<class T >
std::ostream& Sundance::operator<< ( std::ostream &  os,
const SortedPair< T > &  p 
) [inline]

Definition at line 178 of file SundanceCombinatorialUtils.hpp.

template<class T >
std::ostream& Sundance::operator<< ( std::ostream &  os,
const Pair< T > &  p 
) [inline]

Definition at line 159 of file SundanceCombinatorialUtils.hpp.

double Sundance::orient2D ( const double *  A,
const double *  B,
const double *  x 
) [related]

Definition at line 122 of file SundanceGeomUtils.cpp.

Referenced by cellContainsPoint(), Sundance::AToCPointLocator::cellContainsPoint(), and volume().

Expr Sundance::outerProduct ( const Expr &  A,
const Expr &  B 
) [related]

Definition at line 116 of file SundanceVectorCalculus.cpp.

References isVector().

Teuchos::Array< std::string > Sundance::parsePathStr (  ) 

Definition at line 82 of file SundancePathUtils.cpp.

References getPathStr().

Referenced by searchForFile().

Array< Array< int > > Sundance::partitionInteger ( int  n  ) 

Return partitions of an integer

Author:
Kevin Long

Definition at line 16 of file SundanceCombinatorialUtils.cpp.

Referenced by compositions(), and nonNegCompositions().

bool Sundance::passFailTest ( const std::string &  statusMsg,
bool  status,
double  error,
double  tol 
)

Definition at line 84 of file Sundance.cpp.

References Sundance::SundanceGlobal::passFailTest().

bool Sundance::passFailTest ( double  error,
double  tol 
)

Definition at line 80 of file Sundance.cpp.

References Sundance::SundanceGlobal::passFailTest().

bool Sundance::passFailTest ( bool  pass  ) 

Definition at line 77 of file Sundance.cpp.

References Sundance::SundanceGlobal::passFailTest().

Referenced by main().

Expr Sundance::pow ( const Expr &  expr,
const double &  p 
) [inline]

Definition at line 63 of file SundanceStdMathOps.hpp.

References Playa::Handle< PointerType >::ptr().

ADReal Sundance::pow ( const ADReal &  x,
const double &  y 
) [inline]

Definition at line 144 of file SundanceADReal.hpp.

References Sundance::ADReal::gradient(), and Sundance::ADReal::value().

Referenced by Sundance::RefinementTransformation::apply(), Sundance::HNMesh3D::createLeafNumbering_sophisticated(), Sundance::HNMesh2D::createLeafNumbering_sophisticated(), Sundance::PowerFunctor::eval0(), Sundance::PowerFunctor::eval1(), Sundance::PowerFunctor::eval2(), Sundance::PowerFunctor::eval3(), Sundance::Bubble::evalOnTet(), Sundance::Bubble::evalOnTriangle(), Sundance::FeketeTriangleQuadrature::evalPKDpolynomials(), fitPower(), force(), main(), rhsF(), Sundance::DoublingStepController::run(), Sundance::TriangleQuadrature::test(), Sundance::TetQuadrature::test(), Sundance::QuadQuadrature::test(), Sundance::FeketeTriangleQuadrature::test(), Sundance::FeketeQuadQuadrature::test(), Sundance::FeketeBrickQuadrature::test(), and Sundance::BrickQuadrature::test().

int Sundance::pow2 ( int  n  ) 

Compute the n-th power of 2

Definition at line 603 of file SundanceCombinatorialUtils.cpp.

Referenced by bitsOfAnInteger(), multisetSubsets(), and Sundance::MultipleDeriv::productRulePermutations().

void Sundance::printCell ( const Mesh &  mesh,
int  cellLID 
)

Definition at line 198 of file SundanceGeomUtils.cpp.

References Sundance::Mesh::getFacetArray(), Sundance::Mesh::nodePosition(), and Sundance::Mesh::spatialDim().

void Sundance::printQuad ( std::ostream &  os,
const Array< Point > &  pts,
const Array< double > &  wgts 
) [related]

Definition at line 436 of file SundanceQuadratureFamily.cpp.

Referenced by Sundance::ElementIntegral::getQuad().

void Sundance::pSet ( const IntVec &  lambda,
const IntVec &  nu,
int  s,
Array< Array< IntVec > > &  K,
Array< Array< IntVec > > &  L 
)

Definition at line 155 of file SundanceCombinatorialUtils.cpp.

References Playa::abs(), Sundance::IntVec::getPartitions(), and weightedOrderedPartitions().

Point Sundance::pullback ( const Mesh &  mesh,
int  cellDim,
int  cellLID,
const double *  x 
) [related]

Definition at line 165 of file SundanceGeomUtils.cpp.

References Sundance::Mesh::getFacetArray(), and Sundance::Mesh::nodePositionView().

double Sundance::readbackTester ( const std::string &  infile,
const MPIComm &  comm,
int  verb = 0 
)

This function reads in an exodus file, discretizes a function on it, and computes some functional on it. It then writes the field, reads it back, and computes the same functional on the new copy. The return value is the difference between the two functionals which should be zero if all is running correctly.

Definition at line 143 of file SundanceMeshIOUtils.cpp.

References Sundance::FieldWriter::addField(), Sundance::FieldWriter::addMesh(), evaluateIntegral(), Sundance::MeshSource::getMesh(), Sundance::L2Projector::project(), readNodalFields(), Playa::Out::root(), Sundance::Mesh::spatialDim(), and Sundance::FieldWriter::write().

Expr Sundance::readNodalFields ( const MeshSource &  mesher,
const Mesh &  mesh,
const VectorType< double > &  vecType,
int  verb = 0 
)

Read the node-based fields from a mesher

Definition at line 14 of file SundanceMeshIOUtils.cpp.

References Sundance::DiscreteFunction::discFunc(), Sundance::MeshSource::getAttributes(), Sundance::DiscreteFunction::getVector(), Playa::loadable(), Sundance::DiscreteFunction::map(), Sundance::Mesh::numCells(), PLAYA_ROOT_MSG1, PLAYA_ROOT_MSG2, PLAYA_ROOT_MSG3, and Sundance::DiscreteFunction::setVector().

Referenced by readbackTester().

Expr Sundance::readSerialGridField ( const std::string &  gridFile,
double  ax,
double  bx,
double  ay,
double  by,
const VectorType< double > &  vecType,
const MeshType &  meshType,
Mesh &  mesh 
)

Read a 2D field stored in simple ASCII format

nx ny # num x pts, num y pts u1_1 u2_1 ... uN_1 # data at node 1 u1_2 u2_2 ... uN_2 # data at node 2

Definition at line 76 of file SundanceMeshIOUtils.cpp.

References Sundance::DiscreteFunction::discFunc(), Sundance::MeshSource::getMesh(), Sundance::DiscreteFunction::getVector(), Playa::loadable(), Sundance::DiscreteFunction::map(), Sundance::Mesh::numCells(), and Sundance::DiscreteFunction::setVector().

Array<BasisFamily> Sundance::replicate ( const Array< BasisFamily > &  b,
int  n 
) [inline]

Definition at line 287 of file SundanceBasisFamily.hpp.

Array<BasisFamily> Sundance::replicate ( const BasisFamily &  b,
int  n 
) [inline]

Definition at line 278 of file SundanceBasisFamily.hpp.

Array<RCP<BasisDOFTopologyBase> > Sundance::replicate ( const RCP< BasisDOFTopologyBase > &  model,
int  n 
) [related]

Definition at line 142 of file SundanceMapStructure.cpp.

Referenced by Sundance::DiscreteSpace::DiscreteSpace(), and Sundance::MapStructure::MapStructure().

void Sundance::reportFailure ( const MPIComm &  comm  ) 

Call this function upon catching an exception at a point before a collective operation. This function will do an AllReduce in conjunction with calls to either this function or its partner, checkForFailures(), on the other processors. This procedure has the effect of communicating to the other processors that an exception has been detected on this one.

Definition at line 10 of file SundanceCollectiveExceptionCheck.cpp.

References Playa::MPIComm::allReduce(), Playa::MPIDataType::intType(), and Playa::MPIOp::sumOp().

Referenced by Sundance::BasicSimplicialMesh::assignIntermediateCellGIDs(), Sundance::PartitionedLineMesher::fillMesh(), Sundance::BasicSimplicialMesh::resolveEdgeOwnership(), and Sundance::BasicSimplicialMesh::synchronizeNeighborLists().

Array< CFMeshPair > Sundance::resolvePair ( const CFMeshPair &  a,
const CFMeshPair &  b 
)

Definition at line 124 of file SundanceCFMeshPair.cpp.

References Sundance::CFMeshPair::intersection(), and Sundance::CFMeshPair::setMinus().

Referenced by resolveSets().

Array< CFMeshPair > Sundance::resolveSets ( const Array< CFMeshPair > &  s  ) 

Definition at line 137 of file SundanceCFMeshPair.cpp.

References Sundance::CFMeshPair::isEmpty(), and resolvePair().

Referenced by findDisjointFilters().

void Sundance::restrictedCompositions ( int  n,
int  M,
Array< Array< int > > &  rComps 
)

Get the compositions of length M of an integer n.

Definition at line 210 of file SundanceCombinatorialUtils.cpp.

References nonNegCompositions().

Referenced by Sundance::IntVec::getPartitions().

AlgebraSpecifier Sundance::scalarAlgebraSpec (  )  [related]

AlgebraSpecifier

Definition at line 128 of file SundanceAlgebraSpecifier.cpp.

References ScalarAT.

Referenced by makeFuncID().

std::string Sundance::searchForFile ( const std::string &  name  ) 

Definition at line 44 of file SundancePathUtils.cpp.

References parsePathStr().

Referenced by Sundance::ExodusMeshReader::fillMesh(), and Sundance::MeshReaderBase::openFile().

void Sundance::serialPartition ( const RCP< SerialPartitionerBase > &  part,
int  numProc,
const MeshSource &  mesher,
const std::string &  outfile 
)

Partition a mesh and write the parts to exodus files

Definition at line 225 of file SundanceMeshIOUtils.cpp.

References Sundance::FieldWriter::addField(), Sundance::FieldWriter::addMesh(), Sundance::Set< Key, Compare >::begin(), Sundance::MeshSource::comm(), Sundance::Set< Key, Compare >::end(), Sundance::Map< Key, Value, Compare >::get(), Sundance::MeshSource::getAttributes(), Sundance::MeshSource::getMesh(), Playa::MPIComm::getNProc(), Sundance::FieldWriter::impersonateParallelProc(), invertMap(), Playa::Out::os(), Sundance::Set< Key, Compare >::size(), Sundance::Mesh::spatialDim(), toString(), Teuchos::toString(), and Sundance::FieldWriter::write().

void Sundance::setDiscreteFunctionVector ( Expr  u,
const Vector< double > &  v 
) [related]

Definition at line 252 of file SundanceDiscreteFunction.cpp.

References Playa::Vector< Scalar >::getBlock(), Sundance::DiscreteFunctionData::getData(), Playa::Handle< PointerType >::ptr(), Sundance::DiscreteFunctionData::setVector(), Sundance::DiscreteFunction::setVector(), and Sundance::Expr::size().

Referenced by addVecToDiscreteFunction(), Sundance::PDEConstrainedObjBase::eval(), Sundance::DoublingStepController::run(), Sundance::NonlinearPDEConstrainedObj::solveState(), Sundance::LinearPDEConstrainedObj::solveState(), Sundance::NonlinearPDEConstrainedObj::solveStateAndAdjoint(), Sundance::LinearPDEConstrainedObj::solveStateAndAdjoint(), updateDiscreteFunction(), Sundance::NLOp::updateDiscreteFunctionValue(), and Sundance::LinearSolveDriver::writeIntoSolutionExpr().

void Sundance::setOption ( const std::string &  optionTrueName,
const std::string &  optionFalseName,
bool &  value,
const std::string &  helpMsg 
)

Definition at line 125 of file Sundance.cpp.

References Sundance::SundanceGlobal::setOption().

void Sundance::setOption ( const std::string &  optionName,
std::string &  value,
const std::string &  helpMsg 
)

Definition at line 118 of file Sundance.cpp.

References Sundance::SundanceGlobal::setOption().

void Sundance::setOption ( const std::string &  optionName,
double &  value,
const std::string &  helpMsg 
)

Definition at line 111 of file Sundance.cpp.

References Sundance::SundanceGlobal::setOption().

void Sundance::setOption ( const std::string &  optionName,
int &  value,
const std::string &  helpMsg 
)

Definition at line 104 of file Sundance.cpp.

References Sundance::SundanceGlobal::setOption().

Referenced by main().

StdLog Sundance::SUNDANCE_AD_FUNCTOR ( sqrt  ,
StdSqrt   
)

Sundance::SUNDANCE_AD_FUNCTOR ( exp  ,
StdExp   
)

Sundance::SUNDANCE_UNARY_FUNCTOR ( reciprocal  ,
StdReciprocal  ,
"reciprocal function"  ,
NonzeroDomain()  ,
1.0/  x[i],
-f *  f[i][i],
-2.0 *df/  x[i][i] 
)

Array<Array<BasisFamily> > Sundance::testBasisArray ( const RCP< FunctionSupportResolver > &  fsr  )  [related]

Definition at line 954 of file SundanceDOFMapBuilder.cpp.

References Sundance::BasisFamily::getBasis().

int& Sundance::testStatus (  ) 

Definition at line 88 of file Sundance.cpp.

References Sundance::SundanceGlobal::testStatus().

Referenced by main().

template<typename A , typename B >
bool Sundance::typeLessThan ( const A *  a,
const B *  b 
) [inline]

Definition at line 41 of file SundanceTypeUtils.hpp.

Referenced by Sundance::RaviartThomas::lessThan(), and Sundance::BasisFamilyBase::lessThan().

int Sundance::ufcFacetIndexToExFacetIndex ( int  meshDim,
int  ufcFacetID 
)

Definition at line 173 of file SundanceVertexSort.cpp.

Referenced by Sundance::ExodusWriter::writeMesh().

Array< int > Sundance::ufcSide ( int  f,
const Array< int > &  verts 
)

Definition at line 85 of file SundanceVertexSort.cpp.

Array< int > Sundance::ufcSideVertPos ( int  dim,
int  f 
)

Definition at line 59 of file SundanceVertexSort.cpp.

absolute Sundance::UnboundedDomain (  ) 

Type Constraints

Referenced by Sundance::PowerFunctor::powerDomain().

Expr Sundance::unfoldPeriodicDiscreteFunction ( const Expr &  f,
const string &  name = "" 
)

"Unfold" a discrete function defined on a periodic mesh, producing a function usable on a non-periodic mesh of the same interval

Definition at line 86 of file SundanceUnfoldPeriodicDF.cpp.

References Sundance::DiscreteSpace::createVector(), Sundance::DiscreteFunction::discFunc(), Sundance::DiscreteFunction::discreteSpace(), Sundance::DiscreteFunction::ghostView(), Playa::loadable(), Sundance::DiscreteSpace::map(), Sundance::DiscreteSpace::mesh(), Sundance::Mesh::numCells(), unfoldPeriodicDiscreteSpace(), and Sundance::DiscreteFunction::updateGhosts().

DiscreteSpace Sundance::unfoldPeriodicDiscreteSpace ( const DiscreteSpace &  space  ) 

"Unfold" a periodic discrete space, producing a non-periodic discretization of the same interval

Definition at line 77 of file SundanceUnfoldPeriodicDF.cpp.

References Sundance::DiscreteSpace::basis(), Sundance::DiscreteSpace::mesh(), unfoldPeriodicMesh(), and Sundance::DiscreteSpace::vecType().

Referenced by unfoldPeriodicDiscreteFunction().

Mesh Sundance::unfoldPeriodicMesh ( const Mesh &  mesh  ) 

"Unfold" a periodic mesh to produce a 1D mesh without duplicated vertices

Definition at line 55 of file SundanceUnfoldPeriodicDF.cpp.

References Sundance::MeshSource::getMesh(), Sundance::Mesh::nodePosition(), Sundance::Mesh::numCells(), Playa::Handle< PointerType >::ptr(), and Playa::MPIComm::self().

Referenced by unfoldPeriodicDiscreteSpace().

Array<Array<BasisFamily> > Sundance::unkBasisArray ( const RCP< FunctionSupportResolver > &  fsr  )  [related]

Definition at line 968 of file SundanceDOFMapBuilder.cpp.

References Sundance::BasisFamily::getBasis().

void Sundance::updateDiscreteFunction ( const Expr &  newVals,
Expr  old 
) [related]

Definition at line 198 of file SundanceDiscreteFunction.cpp.

References Playa::Vector< Scalar >::acceptCopyOf(), getDiscreteFunctionVector(), and setDiscreteFunctionVector().

Referenced by Sundance::DoublingStepController::run(), and Sundance::TransientStepProblem::step().

Array<std::pair<int, int> > Sundance::vectorDimStructure ( const BasisFamily &  basis  )  [related]

Definition at line 224 of file SundanceBasisFamily.cpp.

References vectorDimStructure().

Array<std::pair<int, int> > Sundance::vectorDimStructure ( const Array< BasisFamily > &  basis  )  [related]

Definition at line 213 of file SundanceBasisFamily.cpp.

Referenced by Sundance::DiscreteSpace::dimStructure(), and vectorDimStructure().

void Sundance::vertexSort ( Array< int > &  verts,
int *  key 
)

Definition at line 107 of file SundanceVertexSort.cpp.

References insertionSort().

Referenced by Sundance::ExodusMeshReader::fillMesh().

double Sundance::volume ( const Mesh &  mesh,
int  cellDim,
int  cellLID 
)

Definition at line 97 of file SundanceGeomUtils.cpp.

References Sundance::Mesh::getFacetArray(), Sundance::Mesh::nodePosition(), Sundance::Mesh::nodePositionView(), and orient2D().

Referenced by Sundance::AToCDensitySampler::init().

void Sundance::weightedOrderedPartitions ( const IntVec &  v,
const Array< int > &  w,
Array< Array< IntVec > > &  parts 
)

Definition at line 110 of file SundanceCombinatorialUtils.cpp.

References Playa::abs(), nextNum(), Sundance::IntVec::size(), and weightedPartitions().

Referenced by pSet().

void Sundance::weightedPartitions ( int  n,
const Array< int > &  w,
Array< Array< int > > &  parts 
)

Get the weighted partitions of an integer

Definition at line 70 of file SundanceCombinatorialUtils.cpp.

References nextNum().

Referenced by weightedOrderedPartitions().

void Sundance::writeTable ( std::ostream &  os,
const Tabs &  tab,
const Array< int > &  a,
int  cols 
)

Definition at line 64 of file SundanceOut.cpp.

void Sundance::writeTable ( std::ostream &  os,
const Tabs &  tab,
const Array< double > &  a,
int  cols 
)

Definition at line 43 of file SundanceOut.cpp.

Referenced by Sundance::IntegralGroup::evaluate(), Sundance::FeketeQuadrature::getAdaptedQuadWeights(), Sundance::QuadratureIntegral::transformOneForm(), Sundance::MaximalQuadratureIntegral::transformOneForm(), Sundance::CurveQuadratureIntegral::transformOneForm(), Sundance::QuadratureIntegral::transformZeroForm(), Sundance::MaximalQuadratureIntegral::transformZeroForm(), and Sundance::CurveQuadratureIntegral::transformZeroForm().

Set< MultipleDeriv > Sundance::Xx ( const MultiIndex &  x  ) 

Definition at line 290 of file SundanceMultipleDeriv.cpp.

References coordDeriv(), Sundance::MultiIndex::firstOrderDirection(), makeMultiDeriv(), Sundance::MultiIndex::order(), and Sundance::Set< Key, Compare >::put().

Referenced by Sundance::DiffOp::internalDetermineR(), Sundance::DiffOp::internalFindV(), and Sundance::DiffOp::internalFindW().

Variable Documentation

Sundance::StdFabs

Definition at line 104 of file SundanceStdMathFunctors.hpp.

const double & Teuchos::Parameter::value

Definition at line 104 of file SundanceStdMathFunctors.hpp.

Referenced by Sundance::Lagrange::evalOnBrick(), Sundance::Lagrange::evalOnLine(), Sundance::EdgeLocalizedBasis::evalOnLine(), Sundance::Bubble::evalOnLine(), Sundance::Bernstein::evalOnLine(), Sundance::Legendre::evalOnQuad(), Sundance::Lagrange::evalOnquad(), Sundance::Lagrange::evalOnTet(), Sundance::Bubble::evalOnTet(), Sundance::Bernstein::evalOnTet(), Sundance::Lagrange::evalOnTriangle(), Sundance::EdgeLocalizedBasis::evalOnTriangle(), Sundance::CubicHermite::evalOnTriangle(), Sundance::Bubble::evalOnTriangle(), Sundance::Bernstein::evalOnTriangle(), Sundance::FunctionalEvaluator::evaluate(), and NOX::NOXPlaya::Vector::norm().

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