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Sundance::Expr Class Reference

Expr represents a mathematical expression. An Expr can be an atomic entity such as a constant, a function, or a differential operator; or an expr can be a compound object such as a sum, project, or list of exprs. More... . More...

#include <Expr.h>

List of all members.

Public Methods

• ~Expr ()
• Expr (const Expr &other)
• const Expr & operator= (const Expr &other)
• const Expr & getRegionalExpr (const string &region) const
• bool isDefinedOnRegion (const string &region) const
• void setRegionalExpr (const string &region, const Expr &expr)
• int hashCode () const

Constructors

• Expr ()

  The empty constructor builds an uninitialized, null expr.
  
  

• Expr (ExprBase *ptr)

  Construct an Expr by assuming control of an ExprBase pointer.
  
  

• Expr (const double &value)

  Construct an Expr with constant real value.
  
  

Math operations

• Expr operator- () const

  Unary minus.
  
  

• const Expr & operator+= (const Expr &other)

  Reflexive add.
  
  

• const Expr & operator-= (const Expr &other)

  Reflexive subtract.
  
  

• const Expr & operator *= (const Expr &other)

  Reflexive multiply.
  
  

• const Expr & operator/= (const Expr &other)

  Reflexive divide.
  
  

• Expr pow (const double &p) const

  Raise to a constant real power.
  
  

Listing

• const Expr & operator[] (int i) const

  read-only access to the i-th element of a list
  
  

• Expr & operator[] (int i)

  read/write access to the i-th element of a list
  
  

• int length () const

  the number of elements in the current level of a list
  
  

• int size () const

  the total number of elements in all levels of a list
  
  

• Expr append (const Expr &other)

  append a new element to a list
  
  

• Expr flatten () const

  flatten a list into one dimension
  
  

Linearization, variations, and substitution

• Expr variation (const Expr &u) const

  variation wrt a function u
  
  

• Expr variation () const

  variation of a function.
  
  

• Expr linearization (const Expr &u, const Expr &u0) const

  linearization wrt a function u about a point u0
  
  

• Expr directSensitivity (const Expr &u, const Expr &u0) const

  Compute the sensitivity of an expression wrt u, evaluated at a point u0.
  
  

• Expr sensitivityEquation (const Expr &u, const Expr &alpha, const Expr &alpha0) const

  Derive an equation for the sensitivity of u with respect to alpha at the point alpha0.
  
  

• Expr sensitivity (const Expr &alpha) const

  return a function representing the unknown sensitivity of this expr with respect to alpha
  
  

• Expr differential () const

  differential of a function.
  
  

• Expr substitute (const Expr &u, const Expr &u0) const

  return a new expression with u0 in place of u throughout
  
  

• Expr differential (const Expr &u, const Expr &du) const

  differential
  
  

• void setDifferential (const Expr &du)

  set the differential of a function
  
  

• void setVariation (const Expr &v)

  set the variation of a function
  
  

• void setFunctionValue (const Expr &u0)

relational operators

• LogicalExpr operator== (const Expr &other) const

  equality test
  
  

• LogicalExpr operator!= (const Expr &other) const

  not-equals test
  
  

• LogicalExpr operator< (const Expr &other) const

  less-than test
  
  

• LogicalExpr operator> (const Expr &other) const

  greater-than test
  
  

• LogicalExpr operator<= (const Expr &other) const
• LogicalExpr operator>= (const Expr &other) const

  greater-than test
  
  

Probing at a cell or group of cells

• ExprValue average (const Cell &cell) const

  compute average value on a cell
  
  

• ExprValue average (const Mesh &mesh, const CellSet &cellSet) const

  compute average value on a cell set
  
  

• double probeAtMeshPoint (int localPointIndex) const

  probe value at a point
  
  

• void evaluate (const AbstractFunctionSpace &targetSpace, const TSFArray< Cell > &cells, const TSFArray< int > &cellIndices, const TSFArray< int > &dofIndices, const TSFArray< Point > &x, DenseSerialVector &values) const

  get values at a set of points in a cell
  
  

• double evaluateFunctional (const Mesh &mesh, const Expr &u, const Expr &u0) const

  evaluate a functional with u0 in place of the unknown u
  
  

• double evaluateFunctional (const Mesh &mesh) const

  evaluate a functional
  
  

Integrals and Norms

• double integral (const Mesh &mesh, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  Integral over all maximal cells of the specified mesh, using the specified quadrature family.
  
  

• double integral (const Mesh &mesh, const CellSet &cellSet, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  Integral over the specified cell set using default quadrature.
  
  

• double integral (const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  Integral over all maximal cells of the implied mesh, using the specified quadrature family.
  
  

• double integral (const CellSet &cellSet, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  Integral over the specified cell set of the implied mesh using the specified quadrature family.
  
  

• double norm (int p, const Mesh &mesh, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  L-p norm over all maximal cells of the specified mesh, using the specified quadrature family.
  
  

• double norm (int p, const Mesh &mesh, const CellSet &cellSet, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  L-p norm over the specified cell set using default quadrature.
  
  

• double norm (int p, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  L-p norm over all maximal cells of the implied mesh, using the specified quadrature family.
  
  

• double norm (int p, const CellSet &cellSet, const QuadratureFamily &quad=Defaults::quadratureFamily()) const

  L-p norm over the specified cell set of the implied mesh using the specified quadrature family.
  
  

• double quickNorm () const

  quick L-2 norm of underlying vector.
  
  

• double maxNorm () const

  L-infinity norm.
  
  

Output

• string toString (bool paren=false) const

  return a string representation of an Expr
  
  

• string fullForm () const

  return a very verbose representation of an Expr
  
  

• XMLObject toXML () const

  return an XML representation of an Expr
  
  

• void matlabDump (ostream &os) const

  write a discrete scalar function to a matlab file
  
  

• void printDiscreteFunctions (ostream &os) const

  print all discrete functions in this expr
  
  

Low-level methods -- not for user-level code

• void differential (const Expr &u, const Expr &du, Expr &result) const

  low-level differential
  
  

• Expr derivative (const MultiIndex &d) const

  take derivative
  
  

• const MultiIndex & multiIndex () const

  get multiindex
  
  

• const Expr & assignUsingLHSPtr (const Expr &other)

  Replace rvalue of LHS ptr with contents of RHS.
  
  

• const Expr & assignUsingRHSPtr (const Expr &other)

  Replace LHS ptr with RHS ptr.
  
  

• double value () const

  Get the real value of a constant real Expr.
  
  

• void setParameterValue (const double &alpha)
• const string & name () const

  Get the name of a function.
  
  

• Expr hold () const

  Create a HoldExpr from this one, preventing it from being expanded.
  
  

• void evaluate (const WorkSet &workSet, const QuadratureFamily &quadFamily, DenseSerialVector &result) const

  evaluate a scalar expr on a workset
  
  

• void watchOn ()
• void watchOff ()
• bool watching () const
• void getVector (TSFVector &vector) const

  return the vector associated with a discrete function
  
  

• void setVector (const TSFVector &vector)

  set the vector associated with a discrete function
  
  

• void readValues (const string &filename)

  read a vector of values from a file
  
  

• void getDOFMap (TSFSmartPtr< DOFMapBase > &map) const

  return the DOF map associated with a discrete function
  
  

• int getReducedIndex () const

  return the index of a discrete function into a list
  
  

• bool equals (const Expr &other) const

  true if two exprs are structurally and numerically equal
  
  

• bool lessThan (const Expr &other) const

  test if LHS is < RHS
  
  

• bool greaterThan (const Expr &other) const

  test if LHS is > RHS
  
  

• int sortPriority () const

  return the sorting key of the subtype handled by this expr
  
  

• bool isNull () const

  True if Expr is null.
  
  

• bool isZero () const

  True if Expr's numerical value is identically zero.
  
  

• bool isConstant () const

  True if Expr is a constant.
  
  

• bool isSumExpr () const

  True if Expr is a sum.
  
  

• bool isProductExpr () const

  True if Expr is a product.
  
  

• bool isTermListExpr () const

  True if Expr is a TermList.
  
  

• bool isFuncExpr () const

  True if Expr is a function.
  
  

• bool isDerivative () const

  True is Expr is a differentiation operator.
  
  

• bool isDiffOp () const

  True if Expr is an Expr times a derivative.
  
  

• bool isVariational () const

  True if Expr is a variational function.
  
  

• bool isUnknown () const

  True if Expr is an unknown function.
  
  

• bool isCoordExpr () const

  True if Expr is a coordinate function.
  
  

• bool isDiscreteFunction () const

  True if Expr is a discrete function.
  
  

• bool isUserFuncExpr () const

  True if expr is a user-defined function.
  
  

• bool isParameterExpr () const

  True if expr is a design parameter.
  
  

• bool isHoldExpr () const

  True if expr is a hold expr.
  
  

• bool isRegionalExpr () const

  True if expr is a regional expr.
  
  

• bool isCellDiameterExpr () const

  True if expr is a cell diameter expr.
  
  

• bool isCellNormalExpr () const

  True if expr is a cell normal expr.
  
  

• bool isIntegralExpr () const

  True if expr is an integral expr.
  
  

• bool isTestParameter () const
• bool isUnknownParameter () const
• bool isSpatiallyConstant () const

  returns true if expr structurally constant in space
  
  

• bool containsUnknown () const

  returns true if the expression contains an unknown
  
  

• bool containsTest () const

  returns true if the expression contains a test function
  
  

• bool containsUnknownParameter () const

  returns true if the expression contains an unknown parameter
  
  

• bool containsTestParameter () const

  returns true if the expression contains a test parameter
  
  

• bool hasChildren () const
• void getChildren (ExprArray &children) const
• int funcID () const

  Look up the function index of a function expr.
  
  

• double constant () const

  return the constant term in a sum, or the constant factor in a product
  
  

• const ExprBase * ptr () const

  access the ExprBase pointer contained in the handle
  
  

• Expr extractPrefactor (double &prefactor) const

  Find a possible constant factor in a product, and return the rremaining Expr.
  
  

• Expr clone () const

  do a deep copy of an expr
  
  

• bool lhsAppearsOnRHS (const Expr &lhs) const

  check to see if the LHS appears on the RHS, e.g.
  
  

• void replaceWithCloneOfAssignmentLHS (const Expr &lhs, const Expr &lhsClone)
• void print (ostream &os, bool paren=false) const

  print
  
  

• BasisFamily getBasis () const

  return the basis of a function
  
  

• int countMonomials () const

  count the number of irreducable monomials in an expr
  
  

• ExprArray getMonomials () const

  return a list of the irreducable monomials in an expr
  
  

• void getMonomials (ExprArray &monomials, int &offset) const

  low-level function used in getMonomials()
  
  

• bool getValidWeakForm (Expr &coeff, Expr &var, Expr &unk) const

  partition a monomial into a coeff, an unknown, and a test function.
  
  

• bool getMesh (Mesh &mesh) const
• void getDomain (TSFNonDupArray< CellSet > &domain) const

  get the cell sets on which this function is defined
  
  

Static Public Methods

• Expr & dummy ()

Private Methods

• void considerSuicide ()
• bool readyToDie () const
• void initializeRefCount ()
• void initializeHandle (ExprHandle *handlePtr)
• void decrementRefCount ()
• void incrementRefCount ()
• ExprBase * ptr ()
• void nullCheck (const string &funcName) const
• ExprHandle * handle ()
• const ExprHandle * handle () const

Private Attributes

• ExprHandle ** ptrToHandle_
• int * refCount_

Friends

• Expr List (const Expr &a)

  create a list containing one expr
  
  

• Expr List (const Expr &a, const Expr &b)

  create a list of two exprs
  
  

• Expr List (const Expr &a, const Expr &b, const Expr &c)

  create a list of three exprs
  
  

• Expr List (const Expr &a, const Expr &b, const Expr &c, const Expr &d)

  create a list of four exprs
  
  

Related Functions

(Note that these are not member functions.)

• double definiteIntegral (const Mesh &mesh, const CellSet &subdomain, const Expr &integrand, const QuadratureFamily &quad=new GaussLegendre(4))

  Uses quadrature to integrate an expression over a subdomain of a mesh.
  
  

• double definiteIntegral (const Mesh &mesh, const Expr &integrand, const QuadratureFamily &quad=new GaussLegendre(4))

  Uses quadrature to integrate an expression over all maximal cells in a mesh.
  
  

• Expr join (const Expr &e1, const Expr &e2)

  Join two exprs e1 and e2 to form a list {e1, e2}.
  
  

• Expr operator+ (const Expr &a, const Expr &b)

  Add a and b.
  
  

• Expr operator- (const Expr &a, const Expr &b)

  Subtract b from a.
  
  

• Expr operator * (const Expr &a, const Expr &b)

  Multiply a and b.
  
  

• Expr operator/ (const Expr &a, const Expr &b)

  Divide a and b.
  
  

• Expr pow (const Expr &expr, const double &p)

  Raise an expr to a constant real power.
  
  

• Expr hold (const Expr &expr)

  Create a non-expandable version of an expression.
  
  

• Expr sin (const Expr &arg)

  Trigonometric sine function.
  
  

• Expr cos (const Expr &arg)

  Trigonometric cosine function.
  
  

• Expr tan (const Expr &arg)

  Trigonometric tangent function.
  
  

• Expr asin (const Expr &arg)

  Trigonometric inverse sine function.
  
  

• Expr acos (const Expr &arg)

  Trigonometric inverse cosine function.
  
  

• Expr atan (const Expr &arg)

  Trigonometric inverse tangent function.
  
  

• Expr exp (const Expr &arg)

  Exponential function.
  
  

• Expr log (const Expr &arg)

  Logarithm function.
  
  

• Expr cosh (const Expr &arg)

  Hyperbolic cosine function.
  
  

• Expr sinh (const Expr &arg)

  Hyperbolic sine function.
  
  

• Expr tanh (const Expr &arg)

  Hyperbolic tangent function.
  
  

• Expr sqrt (const Expr &arg)

  Square root function.
  
  

• Expr fabs (const Expr &arg)

  Absolute value function.
  
  

• Expr sign (const Expr &arg)

  Sign function.
  
  

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Detailed Description

Definition at line 43 of file Expr.h.

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Constructor & Destructor Documentation

Sundance::Expr::Expr (    )

Sundance::Expr::Expr (  ExprBase *    ptr )

Sundance::Expr::Expr (  const double &    value )

Sundance::Expr::~Expr (    )

Sundance::Expr::Expr (  const Expr &    other )

---

Member Function Documentation

const Expr& Sundance::Expr::operator= (  const Expr &    other )

Expr Sundance::Expr::operator- (    )  const

const Expr& Sundance::Expr::operator+= (  const Expr &    other )

const Expr& Sundance::Expr::operator-= (  const Expr &    other )

const Expr& Sundance::Expr::operator *= (  const Expr &    other )

const Expr& Sundance::Expr::operator/= (  const Expr &    other )

Expr Sundance::Expr::pow (  const double &    p )  const

const Expr& Sundance::Expr::operator[] (  int    i )  const

Expr& Sundance::Expr::operator[] (  int    i )

int Sundance::Expr::length (    )  const

Referenced by Sundance::cross().

int Sundance::Expr::size (    )  const

Expr Sundance::Expr::append (  const Expr &    other )

Expr Sundance::Expr::flatten (    )  const

Expr Sundance::Expr::variation (  const Expr &    u )  const

Expr Sundance::Expr::variation (    )  const

Returns a test function with the same basis as this function

Expr Sundance::Expr::linearization (  const Expr &    u, const Expr &    u0 )  const

Expr Sundance::Expr::directSensitivity (  const Expr &    u, const Expr &    u0 )  const

Expr Sundance::Expr::sensitivityEquation (  const Expr &    u, const Expr &    alpha, const Expr &    alpha0 )  const

Expr Sundance::Expr::sensitivity (  const Expr &    alpha )  const

Expr Sundance::Expr::differential (    )  const

Returns an unknown function with the same basis as this function

Expr Sundance::Expr::substitute (  const Expr &    u, const Expr &    u0 )  const

Expr Sundance::Expr::differential (  const Expr &    u, const Expr &    du )  const

void Sundance::Expr::setDifferential (  const Expr &    du )

void Sundance::Expr::setVariation (  const Expr &    v )

void Sundance::Expr::setFunctionValue (  const Expr &    u0 )

LogicalExpr Sundance::Expr::operator== (  const Expr &    other )  const

LogicalExpr Sundance::Expr::operator!= (  const Expr &    other )  const

LogicalExpr Sundance::Expr::operator< (  const Expr &    other )  const

LogicalExpr Sundance::Expr::operator> (  const Expr &    other )  const

LogicalExpr Sundance::Expr::operator<= (  const Expr &    other )  const

LogicalExpr Sundance::Expr::operator>= (  const Expr &    other )  const

ExprValue Sundance::Expr::average (  const Cell &    cell )  const

ExprValue Sundance::Expr::average (  const Mesh &    mesh, const CellSet &    cellSet )  const

double Sundance::Expr::probeAtMeshPoint (  int    localPointIndex )  const

void Sundance::Expr::evaluate (  const AbstractFunctionSpace &    targetSpace, const TSFArray< Cell > &    cells, const TSFArray< int > &    cellIndices, const TSFArray< int > &    dofIndices, const TSFArray< Point > &    x, DenseSerialVector &    values )  const

double Sundance::Expr::evaluateFunctional (  const Mesh &    mesh, const Expr &    u, const Expr &    u0 )  const

double Sundance::Expr::evaluateFunctional (  const Mesh &    mesh )  const

const Expr& Sundance::Expr::getRegionalExpr (  const string &    region )  const

bool Sundance::Expr::isDefinedOnRegion (  const string &    region )  const

void Sundance::Expr::setRegionalExpr (  const string &    region, const Expr &    expr )

double Sundance::Expr::integral (  const Mesh &    mesh, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::integral (  const Mesh &    mesh, const CellSet &    cellSet, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::integral (  const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::integral (  const CellSet &    cellSet, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::norm (  int    p, const Mesh &    mesh, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::norm (  int    p, const Mesh &    mesh, const CellSet &    cellSet, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::norm (  int    p, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::norm (  int    p, const CellSet &    cellSet, const QuadratureFamily &    quad = Defaults::quadratureFamily() )  const

double Sundance::Expr::quickNorm (    )  const

This takes no account of cell areas and is therefore not necessarily the L2 norm of the expression. It will suffice for some purposes, however, and is fast because it doesn't have to do any integration.

double Sundance::Expr::maxNorm (    )  const

string Sundance::Expr::toString (  bool    paren = false )  const

Referenced by Sundance::cross(), Sundance::HoldExpr::toString(), and Sundance::toString().

string Sundance::Expr::fullForm (    )  const

XMLObject Sundance::Expr::toXML (    )  const

Referenced by Sundance::HoldExpr::toXML().

void Sundance::Expr::matlabDump (  ostream &    os )  const

void Sundance::Expr::printDiscreteFunctions (  ostream &    os )  const

void Sundance::Expr::differential (  const Expr &    u, const Expr &    du, Expr &    result )  const

Expr Sundance::Expr::derivative (  const MultiIndex &    d )  const

const MultiIndex& Sundance::Expr::multiIndex (    )  const

const Expr& Sundance::Expr::assignUsingLHSPtr (  const Expr &    other )

const Expr& Sundance::Expr::assignUsingRHSPtr (  const Expr &    other )

double Sundance::Expr::value (    )  const

Referenced by Sundance::ParametricVectorElement::coeffVal(), Sundance::ParametricMatrixElement::coeffVal(), and Sundance::HoldExpr::value().

void Sundance::Expr::setParameterValue (  const double &    alpha )

const string& Sundance::Expr::name (    )  const

Referenced by Sundance::HoldExpr::name(), and Sundance::FieldWriter::writeField().

Expr Sundance::Expr::hold (    )  const

This can save computation time in certain contexts, e.g., norms and integrals, by reducing the number of monomials that must be processed.

void Sundance::Expr::evaluate (  const WorkSet &    workSet, const QuadratureFamily &    quadFamily, DenseSerialVector &    result )  const

void Sundance::Expr::watchOn (    )

Referenced by Sundance::UnaryExpr::watchOn().

void Sundance::Expr::watchOff (    )

Referenced by Sundance::UnaryExpr::watchOff().

bool Sundance::Expr::watching (    )  const

void Sundance::Expr::getVector (  TSFVector &    vector )  const

void Sundance::Expr::setVector (  const TSFVector &    vector )

void Sundance::Expr::readValues (  const string &    filename )

void Sundance::Expr::getDOFMap (  TSFSmartPtr< DOFMapBase > &    map )  const

int Sundance::Expr::getReducedIndex (    )  const

bool Sundance::Expr::equals (  const Expr &    other )  const

bool Sundance::Expr::lessThan (  const Expr &    other )  const

bool Sundance::Expr::greaterThan (  const Expr &    other )  const

int Sundance::Expr::sortPriority (    )  const

bool Sundance::Expr::isNull (    )  const [inline]

Definition at line 323 of file Expr.h. References handle().

bool Sundance::Expr::isZero (    )  const

bool Sundance::Expr::isConstant (    )  const

bool Sundance::Expr::isSumExpr (    )  const

bool Sundance::Expr::isProductExpr (    )  const

bool Sundance::Expr::isTermListExpr (    )  const

bool Sundance::Expr::isFuncExpr (    )  const

bool Sundance::Expr::isDerivative (    )  const

bool Sundance::Expr::isDiffOp (    )  const

bool Sundance::Expr::isVariational (    )  const

bool Sundance::Expr::isUnknown (    )  const

bool Sundance::Expr::isCoordExpr (    )  const

bool Sundance::Expr::isDiscreteFunction (    )  const

bool Sundance::Expr::isUserFuncExpr (    )  const

bool Sundance::Expr::isParameterExpr (    )  const

bool Sundance::Expr::isHoldExpr (    )  const

bool Sundance::Expr::isRegionalExpr (    )  const

bool Sundance::Expr::isCellDiameterExpr (    )  const

bool Sundance::Expr::isCellNormalExpr (    )  const

bool Sundance::Expr::isIntegralExpr (    )  const

bool Sundance::Expr::isTestParameter (    )  const

bool Sundance::Expr::isUnknownParameter (    )  const

bool Sundance::Expr::isSpatiallyConstant (    )  const

Referenced by Sundance::StdFunctionExpr::isSpatiallyConstant(), Sundance::PowerExpr::isSpatiallyConstant(), and Sundance::HoldExpr::isSpatiallyConstant().

bool Sundance::Expr::containsUnknown (    )  const

bool Sundance::Expr::containsTest (    )  const

bool Sundance::Expr::containsUnknownParameter (    )  const

bool Sundance::Expr::containsTestParameter (    )  const

bool Sundance::Expr::hasChildren (    )  const

void Sundance::Expr::getChildren (  ExprArray &    children )  const

int Sundance::Expr::funcID (    )  const

double Sundance::Expr::constant (    )  const

const ExprBase* Sundance::Expr::ptr (    )  const [inline]

Definition at line 393 of file Expr.h. References handle(), and Sundance::ExprHandle::ptr().

Expr Sundance::Expr::extractPrefactor (  double &    prefactor )  const

Expr Sundance::Expr::clone (    )  const

bool Sundance::Expr::lhsAppearsOnRHS (  const Expr &    lhs )  const

x=x+y

void Sundance::Expr::replaceWithCloneOfAssignmentLHS (  const Expr &    lhs, const Expr &    lhsClone )

void Sundance::Expr::print (  ostream &    os, bool    paren = false )  const

Referenced by Sundance::operator<<(), and Sundance::HoldExpr::print().

BasisFamily Sundance::Expr::getBasis (    )  const

Referenced by Sundance::DiscreteFunctionDeriv::getBasis().

int Sundance::Expr::countMonomials (    )  const

ExprArray Sundance::Expr::getMonomials (    )  const

void Sundance::Expr::getMonomials (  ExprArray &    monomials, int &    offset )  const

bool Sundance::Expr::getValidWeakForm (  Expr &    coeff, Expr &    var, Expr &    unk )  const

If the monomial contains more than one unknown or test function, or if it contains no test function, it is not a valid weak form and this function will return false. If valid, return true.

bool Sundance::Expr::getMesh (  Mesh &    mesh )  const

void Sundance::Expr::getDomain (  TSFNonDupArray< CellSet > &    domain )  const

int Sundance::Expr::hashCode (    )  const

Referenced by Sundance::hashCode().

Expr& Sundance::Expr::dummy (    )  [static]

void Sundance::Expr::considerSuicide (    )  [private]

bool Sundance::Expr::readyToDie (    )  const [private]

void Sundance::Expr::initializeRefCount (    )  [private]

void Sundance::Expr::initializeHandle (  ExprHandle *    handlePtr )  [private]

void Sundance::Expr::decrementRefCount (    )  [inline, private]

Definition at line 450 of file Expr.h.

void Sundance::Expr::incrementRefCount (    )  [inline, private]

Definition at line 451 of file Expr.h.

ExprBase* Sundance::Expr::ptr (    )  [inline, private]

Definition at line 452 of file Expr.h. References handle(), and Sundance::ExprHandle::ptr().

void Sundance::Expr::nullCheck (  const string &    funcName )  const [private]

ExprHandle* Sundance::Expr::handle (    )  [inline, private]

Definition at line 454 of file Expr.h. References ptrToHandle_. Referenced by isNull(), and ptr().

const ExprHandle* Sundance::Expr::handle (    )  const [inline, private]

Definition at line 455 of file Expr.h. References ptrToHandle_.

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Friends And Related Function Documentation

Expr List (  const Expr &    a )  [friend]

Expr List (  const Expr &    a, const Expr &    b )  [friend]

Expr List (  const Expr &    a, const Expr &    b, const Expr &    c )  [friend]

Expr List (  const Expr &    a, const Expr &    b, const Expr &    c, const Expr &    d )  [friend]

double definiteIntegral (  const Mesh &    mesh, const CellSet &    subdomain, const Expr &    integrand, const QuadratureFamily &    quad = new GaussLegendre(4) )  [related]

double definiteIntegral (  const Mesh &    mesh, const Expr &    integrand, const QuadratureFamily &    quad = new GaussLegendre(4) )  [related]

Expr join (  const Expr &    e1, const Expr &    e2 )  [related]

Expr operator+ (  const Expr &    a, const Expr &    b )  [related]

Both terms must have the same list structure.

Expr operator- (  const Expr &    a, const Expr &    b )  [related]

Both terms must have the same list structure.

Expr operator * (  const Expr &    a, const Expr &    b )  [related]

Expr operator/ (  const Expr &    a, const Expr &    b )  [related]

The denominator must be a scalar-valued expr.

Expr pow (  const Expr &    expr, const double &    p )  [related]

The expr must be scalar valued.

Expr hold (  const Expr &    expr )  [related]

Expr sin (  const Expr &    arg )  [related]

Expr cos (  const Expr &    arg )  [related]

Expr tan (  const Expr &    arg )  [related]

Expr asin (  const Expr &    arg )  [related]

Expr acos (  const Expr &    arg )  [related]

Expr atan (  const Expr &    arg )  [related]

Expr exp (  const Expr &    arg )  [related]

Expr log (  const Expr &    arg )  [related]

Expr cosh (  const Expr &    arg )  [related]

Expr sinh (  const Expr &    arg )  [related]

Expr tanh (  const Expr &    arg )  [related]

Expr sqrt (  const Expr &    arg )  [related]

Expr fabs (  const Expr &    arg )  [related]

Expr sign (  const Expr &    arg )  [related]

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Member Data Documentation

ExprHandle** Sundance::Expr::ptrToHandle_ [private]

Definition at line 458 of file Expr.h. Referenced by handle().

int* Sundance::Expr::refCount_ [private]

Definition at line 459 of file Expr.h.

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The documentation for this class was generated from the following files:

• Expr.h
• DefiniteIntegral.h
• StdFunctionExpr.h

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Contact:

Kevin Long (krlong@ca.sandia.gov)


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